Organizing Committee
Abstract

Since its introduction by Felix Hausdorff in 1919, the concept of the Hausdorff dimension of sets and measures has been a versatile and powerful tool in classical analysis, geometry and geometric measure theory, mathematical physics and their numerous applications. However, there has been a particularly important symbiosis between dynamical systems and dimension theory. This connection arises both from application of dimension theory to the classification and geometric analysis of dynamical systems (and their invariant sets and measures), and the fact that many classical objects of study in mathematics arise from (sometimes implicit) dynamical systems, which often play a role in the dimension theory of said objects.

Recently, there has been substantial progress on a number of central problems in dimension theory, and while many old problems remain, many new ones have also presented themselves. These include a deeper understanding of the relationship between dimension, entropy and Lyapunov exponents; the recent strengthenings of the Marstrand projection theorem and its implications for dimensions of sums of Cantor sets and the connections with number theory; multifractal analysis of ergodic averages, particularly the recent advances for multiple ergodic averages; and improved computational methods for obtaining effective bounds on Hausdorff dimension. This proposed program aims to set the stage for further progress on the many open problems in the field.

It is a challenging classical problem to compute numerically dimensions of given fractals. In recent years, computer-aided proofs in mathematical analysis have gained an increasing presence in mathematical research. One reason for this field's growing impact is due to its ability to produce high-quality quantitative information about global, nonlinear problems. As a consequence, solutions to a large class of previously intractable problems are now within reach and recently several long-standing conjectures have been verified using rigorous computations.

During the semester we will focus on three specific aspects of the interaction between these two areas: (i) Ergodic, algebraic and combinatorial methods in dimension theory (ii) Computations in fractal geometry in dynamical systems; and (iii) Fractal geometry and hyperbolic dynamics.

Image for "Dimension and Dynamics"
Photo Credit: Mark A. Wilson

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Visit dates listed on the participant list may be tentative and subject to change without notice.

Semester Schedule

Monday, February 1, 2016
TimeEventLocationMaterials
9:00 - 4:00pm ESTDimension and Dynamics Check-In121 South Main Street (11th Floor) 
4:15 - 5:00pm ESTInformal Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, February 2, 2016
TimeEventLocationMaterials
9:30 - 10:00am ESTICERM Director Welcome - Jill Pipher, ICERM Director11th Floor Lecture Hall 
10:00 - 10:45am ESTBrief Organizer Introductions and Broad Program Overview - Michael Hochman (Hebrew University of Jerusalem), Izabella Laba (University of British Columbia), Boris Solomyak (Bar-Ilan University), Yakov Pesin (Penn State University)11th Floor Lecture Hall 
10:45 - 11:15am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:15 - 11:20am EST5-minute Graduate student introductions - Laura Cladek, University of Wisconsin - Madison11th Floor Lecture Hall 
11:20 - 11:25am EST5-minute Graduate student introductions - Natalia Jurga, University of Warwick11th Floor Lecture Hall 
11:25 - 11:30am EST5-minute Graduate student introductions - Roland Molontay, Budapest University11th Floor Lecture Hall 
11:30 - 11:35am EST5-minute Graduate student introductions - Erez Nesharim, Tel Aviv University11th Floor Lecture Hall 
11:35 - 11:40am EST5-minute Graduate student introductions - Vuksan Mijovic, University of St Andrews11th Floor Lecture Hall 
11:40 - 11:45am EST5-minute Graduate student introductions - Sasha Troscheit, University of St. Andrews11th Floor Lecture Hall 
11:45 - 11:50am EST5-minute Graduate student introductions - John Yang, University of Toronto11th Floor Lecture Hall 
11:50 - 11:55am EST5-minute Graduate student introductions - Agnieszka Zelerowicz, Penn State University11th Floor Lecture Hall 
12:00 - 2:30pm ESTLunch and Free Time  
2:30 - 2:40pm EST10-minute Postdoc introductions - Marta Canadell, ICERM Institute Postdoc11th Floor Lecture Hall 
2:40 - 2:50pm EST10-minute Postdoc introductions - Nishant Chandgotia, ICERM Semester Postdoc11th Floor Lecture Hall 
2:50 - 3:00pm EST10-minute Postdoc introductions - Abel Farkas, ICERM Semester Postdoc11th Floor Lecture Hall 
3:00 - 3:10pm EST10-minute Postdoc introductions - Peter Hazard, University of Toronto11th Floor Lecture Hall 
3:10 - 3:20pm EST10-minute Postdoc introductions - Zhiqiang Li, ICERM Semester Postdoc11th Floor Lecture Hall 
3:30 - 4:30pm ESTCoffee/Tea Break and Free Time  
4:30 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Wednesday, February 3, 2016
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, February 4, 2016
TimeEventLocationMaterials
11:00 - 11:30am ESTIT Tutorial - Brian Lavall, ICERM Technical Support Coordinator11th Floor Lecture Hall 
2:00 - 3:15pm ESTAn example of renormalization in dynamics: rotational attractions of 2D maps. - Michael Yampolsky, University of Toronto  
3:15 - 3:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:15pm ESTSubadditive topological pressure for nonconformal repeller and it's continuity - Yongluo Cao, Suzhou University11th Floor Lecture Hall 
Friday, February 5, 2016
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, February 9, 2016
TimeEventLocationMaterials
1:00 - 2:00pm ESTGraduate Student/Postdoc Lunch11th Floor Conference Room 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Lecture Hall 
Wednesday, February 10, 2016
TimeEventLocationMaterials
11:00 - 11:45am ESTMini-course: A class of random Cantor measures, with applications - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall 
11:45 - 12:15pm ESTCoffee/Tea Break11th Floor Collaborative Space 
12:15 - 1:00pm ESTMini-course: A class of random Cantor measures, with applications - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall 
1:15 - 3:30pm ESTBreak for Lunch/Free Time  
3:30 - 4:10pm ESTMini-course: Schmidt games and fractals in dynamics and number theory - Barak Weiss, Tel Aviv University11th Floor Lecture Hall 
4:15 - 4:45pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:45 - 5:30pm ESTMini-course: Schmidt games and fractals in dynamics and number theory - Barak Weiss, Tel Aviv University11th Floor Lecture Hall 
Thursday, February 11, 2016
TimeEventLocationMaterials
11:00 - 11:45am ESTMini-course: Schmidt games and fractals in dynamics and number theory - Dmitry Kleinbock, Brandeis University11th Floor Lecture Hall 
11:45 - 12:15pm ESTCoffee/Tea Break11th Floor Collaborative Space 
12:15 - 1:00pm ESTMini-course: Schmidt games and fractals in dynamics and number theory - Dmitry Kleinbock, Brandeis University11th Floor Lecture Hall 
1:15 - 3:30pm ESTBreak for Lunch/Free Time  
3:30 - 4:15pm ESTMini-course: Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall 
4:15 - 4:45pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:45 - 5:30pm ESTMini-course: Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall 
5:30 - 6:30pm ESTLight Reception11th Floor Collaborative Space 
Friday, February 12, 2016
TimeEventLocationMaterials
11:00 - 11:45am ESTMini-course: A class of random Cantor measures, with applications - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall 
11:45 - 12:15pm ESTCoffee/Tea Break11th Floor Collaborative Space 
12:15 - 1:00pm ESTMini-course: A class of random Cantor measures, with applications - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall 
1:15 - 3:30pm ESTBreak for Lunch/Free Time  
3:30 - 4:15pm ESTMini-course: Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall 
4:15 - 4:45pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:45 - 5:30pm ESTMini-course: Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall 
Monday, February 15, 2016
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration11th Floor Collaborative Space 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am ESTTangents of curves and projection theorem in infinite dimensional spaces - Marianna Csörnyei, University of Chicago11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTLedrappier-Young formula and exact dimensionality of self-affine measures - Balázs Bárány, University of Warwick11th Floor Lecture Hall
11:30 - 12:15pm ESTFinite point configurations- a survey of techniques and ideas - Alex Iosevich, University of Rochester11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTMeasurable equidecompositions and circle squaring - András Máthé, University of Warwick11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTSome questions in discretized additive combinatorics - Joshua Zahl, MIT11th Floor Lecture Hall 
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Tuesday, February 16, 2016
TimeEventLocationMaterials
9:00 - 9:45am ESTDimensions of projected sets and measures on self-affine sets - De-Jun Feng, The Chinese University of Hong Kong11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:00 - 10:15am ESTPoster Presentation - Magdalena Nowak11th Floor Collaborative Space 
10:30 - 11:15am ESTDimension estimates for spectral measures in Dynamics - Boris Solomyak, Bar-Ilan University11th Floor Lecture Hall
11:30 - 12:15pm ESTHausdorff dimension and non-uniquely ergodic interval exchange transformations. - Jon Chaika, University of Utah11th Floor Lecture Hall
12:40 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTDiscrete Analogues in Harmonic Analysis- A Quadratic Carleson Theorem - Ben Krause, UCLA11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTFractional maximal operators and geometric consequences. - Krystal Taylor, The Ohio State University11th Floor Lecture Hall 
Wednesday, February 17, 2016
TimeEventLocationMaterials
9:00 - 9:45am ESTPolynomial configurations in fractal sets. - Izaballa Laba, University of British Columbia11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTA Roth type theorem for large subsets of multidimensional Euclidean spaces - Malabika Pramanik, University of British Columbia11th Floor Lecture Hall
11:30 - 12:15pm ESTProblem Session11th Floor Lecture Hall 
12:30 - 2:15pm ESTBreak for Lunch / Free Time  
2:15 - 4:30pm ESTDiscussion / Work Time  
3:00 - 3:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, February 18, 2016
TimeEventLocationMaterials
9:00 - 9:45am ESTHausdorff dimension of singular vectors - Yitwah Cheung, San Francisco State University11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTA new complexity function of repetition and irrationality exponents - Dong Han Kim, Dongguk University11th Floor Lecture Hall 
11:30 - 12:15pm ESTExtremality and dynamically defined measures - David Simmons, Ohio State University11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTNew constructions of Kakeya and Besicovitch sets - Yuval Peres, Microsoft Research11th Floor Lecture Hall
3:15 - 3:30pm ESTOn-line Exit Survey Reminder - 11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTSelf affine sets with a fibered tangent structure - Henna Koivusalo, University of York11th Floor Lecture Hall
Friday, February 19, 2016
TimeEventLocationMaterials
9:00 - 9:45am ESTDimension of Furstenberg measure of SL_2(R) random matrix products - Michael Hochman, Hebrew University11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTFractal percolation is purely a-unrectifiable - Esa Järvenpää, University of Oulu11th Floor Lecture Hall
11:30 - 12:15pm ESTOn the dimension of diagonally affine self-affine sets and overlaps. - Karoly Simon, Budapest University of Technology and Economics11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
12:30 - 12:40pm ESTGroup Photo in Lecture Hall11th Floor Lecture Hall 
2:30 - 3:15pm ESTSections and projections of random fractals and measures - Kenneth Falconer, University of St. Andrews11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, February 22, 2016
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break  
Tuesday, February 23, 2016
TimeEventLocationMaterials
2:00 - 2:45pm ESTNonhyperbolic skew products: an axiomatic approach - Katrin Gelfert, Universidade Federal do Rio de Janerio11th Floor Lecture Hall 
3:00 - 3:30pm ESTCoffee/Tea Break  
3:30 - 4:15pm ESTErgodicity and partial hyperbolicity on unit tangent bundles of surfaces I - Jana Rodriguez Hertz, IMERL11th Floor Lecture Hall 
Wednesday, February 24, 2016
TimeEventLocationMaterials
9:30 - 10:30am ESTProfessional Development - Ethics in Research I11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break  
Thursday, February 25, 2016
TimeEventLocationMaterials
2:00 - 2:45pm ESTNonhyperbolic skew products: ergodic approximations and exposed pieces - Katrin Gelfert, Universidade Federal do Rio de Janerio11th Floor Lecture Hall 
3:00 - 3:30pm ESTCoffee/Tea Break  
3:30 - 4:15pm ESTErgodicity and partial hyperbolicity on unit tangent bundles of surfaces II - Raul Ures, IMERL  
Friday, February 26, 2016
TimeEventLocationMaterials
2:00 - 2:45pm ESTThermodynamic formalism in one-dimensional dynamics - Mike Todd, University of St. Andrews11th Floor Lecture Hall 
3:00 - 3:30pm ESTCoffee/Tea Break  
3:30 - 4:15pm ESTThermodynamic formalism in one-dimensional dynamics - Mike Todd, University of St. Andrews11th Floor Lecture Hall 
Monday, February 29, 2016
TimeEventLocationMaterials
2:00 - 2:45pm ESTThermodynamic formalism in one-dimensional dynamics - Mike Todd, University of St. Andrews11th Floor Lecture Hall 
3:00 - 3:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, March 1, 2016
TimeEventLocationMaterials
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 2, 2016
TimeEventLocationMaterials
9:30 - 10:30am ESTProfessional Development - Ethics in Research II11th Floor Lecture Hall 
1:30 - 2:15pm ESTMultifractal analysis, large deviations and Fourier transforms for countable branch expanding maps - Thomas Jordan, University of Bristol11th Floor Lecture Hall 
2:30 - 3:00pm ESTCoffee/Tea Break  
3:00 - 3:45pm ESTMultifractal analysis, large deviations and Fourier transforms for countable branch expanding maps - Thomas Jordan, University of Bristol11th Floor Lecture Hall 
Thursday, March 3, 2016
TimeEventLocationMaterials
2:00 - 2:45pm ESTMicrolocal techniques for hyperbolic dynamics - Semyon Dyatlov, MIT11th Floor Lecture Hall 
3:00 - 3:30pm ESTCoffee/Tea Break  
3:30 - 4:15pm ESTMicrolocal techniques for hyperbolic dynamics - Semyon Dyatlov, MIT11th Floor Lecture Hall 
Friday, March 4, 2016
TimeEventLocationMaterials
2:00 - 2:45pm ESTSymbolic dynamics for hyperbolic systems - Yuri Lima, University of Paris11th Floor Lecture Hall 
3:00 - 3:30pm ESTCoffee/Tea Break  
3:30 - 4:15pm ESTSymbolic dynamics for hyperbolic systems - Yuri Lima, University of Paris11th Floor Lecture Hall 
Monday, March 7, 2016
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration11th Floor Collaborative Space 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am ESTEntropies on covers of compact manifolds - Francois Ledrappier, University of Notre Dame Paris11th Floor Lecture Hall
10:00 - 10:45am ESTPrime number theorems and holonomies for hyperbolic rational maps - Hee Oh, Yale University11th Floor Lecture Hall
11:00 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15pm ESTNew developments in smooth rigidity of lattice actions. - Federico Rodriguez Hertz, PSU11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTThurston eigenvalues- a spectral gap - Sarah Koch, University of Michigan, Ann Arbor11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTContinuity of core entropy of quadratic polynomials - Giulio Tiozzo, Yale University11th Floor Lecture Hall
5:00 - 6:30pm ESTWelcome Reception11th Floor Collaborative Space 
Tuesday, March 8, 2016
TimeEventLocationMaterials
9:00 - 9:45am ESTNon-differentiability points for topological conjugaicies of countable branch Markov maps - Thomas Jordan, University of Bristol11th Floor Lecture Hall
10:00 - 10:45am ESTNon-uniform hyperbolicity, symbolic dynamics, and applications - Yuri Lima, University of Paris-Sud11th Floor Lecture Hall
11:00 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15pm ESTFiniteness of measures maximizing the entropy for surface diffeomorphisms - Sylvain Crovisier, University of Paris11th Floor Lecture Hall
12:30 - 12:40pm ESTGroup Photo in Lecture Hall11th Floor Lecture Hall 
12:40 - 2:30pm ESTBreak for Lunch / Free Time  
2:30 - 3:15pm ESTNon-uniform specification properties, thermodynamic formalism, and towers - Vaughn Climenhaga, University of Houston11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTUnique equilibrium states for geodesic flows in nonpositive curvature - Todd Fisher, Brigham Young University11th Floor Lecture Hall
Wednesday, March 9, 2016
TimeEventLocationMaterials
9:00 - 9:45am ESTCriteria for zero averages and applications in partially hyperbolic dynamics. - Lorenzo Diaz, Pontifical Catholic University of Rio de Janeiro11th Floor Lecture Hall
10:00 - 10:45am ESTSkeletons for transitive fibered maps - Katrin Gelfert, Federal University of Rio de Janeiro (UFRJ)11th Floor Lecture Hall
11:00 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15pm ESTUniversality of the large deviation principle in one-dimensional dynamics - Yong Moo Chung, Hiroshima University11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time - 11th Floor Lecture Hall 
2:30 - 3:15pm ESTDecay of correlations in fast-slow partially hyperbolic systems - Jacopo de Simoi, University of Toronto11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTMartingale methods in the study of almost everywhere convergence of ergodic series - Ai-Hua Fan, Université de Picardie Jules Verne11th Floor Lecture Hall
Thursday, March 10, 2016
TimeEventLocationMaterials
9:00 - 9:45am ESTQuantum chaos and the thermodynamical formalism - Stephane Nonnenmacher, Université Paris-sud11th Floor Lecture Hall
10:00 - 10:45am ESTSpectral gaps via additive combinatorics - Semyon Dyatlov, MIT11th Floor Lecture Hall
11:00 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15pm ESTThe spectrum of semi-classical transfer operator for expanding semi-flows with holes. - Masato Tsujii, Kyushu University11th Floor Lecture Hall
12:30 - 2:30pm ESTBreak for Lunch / Free Time - 11th Floor Lecture Hall 
2:30 - 3:15pm ESTFourier transforms of measures on the Brownian graph - Jonathan Fraser, University of Manchester11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm ESTMultifractal analysis of some families of random functions motivated by the study of the network traffic - Karoly Simon, Budapest University of Technology and Economics11th Floor Lecture Hall
Friday, March 11, 2016
TimeEventLocationMaterials
9:00 - 9:45am ESTComputation and inverse problems for linear response. - Mark Pollicott, University of Warwick11th Floor Lecture Hall
10:00 - 10:45am ESTOn the fractal geometry of horseshoes in arbitrary dimensions - Carlos Gustavo Moreira, IMPA11th Floor Lecture Hall
11:00 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15pm ESTNew criteria for equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall
12:30 - 1:15pm ESTSums of Cantor sets and convolutions of singular measures - Anton Gorodetski, University of California, Irvine11th Floor Lecture Hall
1:30 - 3:15pm ESTBreak for Lunch / Free Time - 11th Floor Lecture Hall 
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborative Space 
Monday, March 14, 2016
TimeEventLocationMaterials
2:00 - 2:30pm EDTPi Day Coffee/Tea Break  
Tuesday, March 15, 2016
TimeEventLocationMaterials
1:15 - 2:15pm EDTPD and Grad Student Lunch Check-in - Food will be servedICERM Conference Room 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 16, 2016
TimeEventLocationMaterials
9:30 - 10:30am EDTProfessional Development - Job applications in academia11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, March 17, 2016
TimeEventLocationMaterials
2:30 - 3:15pm EDTResearch Seminar - FOURIER LAW FROM HAMILTONIAN DYNAMICS - Domokos Szasz, Budapest University of Technology and Economics11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, March 18, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, March 21, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, March 22, 2016
TimeEventLocationMaterials
2:30 - 3:15pm EDTResearch Seminar- Thermodynamics for the Katok map. - Samuel Senti, UFDR11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break10th Floor Collaborative Space (Library Side) 
Wednesday, March 23, 2016
TimeEventLocationMaterials
9:30 - 10:30am EDTProfessional Development - Hiring Process11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, March 24, 2016
TimeEventLocationMaterials
2:30 - 3:15pm EDTFractal Curvatures and Dynamical Systems. - Martina Zahle, Friedrich-Schiller-Universitat11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, March 25, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, March 28, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, March 29, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 30, 2016
TimeEventLocationMaterials
9:30 - 10:30am EDTProfessional Development - Papers and Journals11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, March 31, 2016
TimeEventLocationMaterials
9:30 - 11:30am EDTComputer-assisted rigorous estimates for the probability of stochastic dynamics. - Stefano Luzzatto, ICTP11th Floor Lecture Hall 
1:30 - 3:30pm EDTPart 1. Interval analysis. Part 2. Automatic differentiation - Warwick Tucker, Uppsala University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, April 1, 2016
TimeEventLocationMaterials
9:30 - 11:30am EDTComputability and complexity of Julia sets - Michael Yampolsky, University of Toronto11th Floor Lecture Hall 
1:30 - 3:30pm EDTPart 3. Computer-aided proofs. - Warwick Tucker, Uppsala University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, April 4, 2016
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration11th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:35am EDTUniversality for golden mean Siegel disks - Denis Gaidashev, Uppsala University11th Floor Lecture Hall
9:45 - 10:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:15 - 10:50am EDTQuasi-periodic solutions for state dependent delay equations. - Rafael de la Llave, Georgia Tech11th Floor Lecture Hall
11:00 - 11:35am EDTOn the measure of the set of regular parameter values for the quadratic map - Zbigniew Galias, AGH University of Science & Technology11th Floor Lecture Hall
11:45 - 12:00pm EDTBreak  
12:00 - 12:35pm EDTEffective computation of expansivity rates in one-dimensional dynamics - Pawel Pilarczyk, IST Austria11th Floor Lecture Hall
12:45 - 3:00pm EDTBreak for Lunch / Free Time  
3:00 - 3:35pm EDTLinear Response- Formulae and Rigorous Approximations - Wael Bahsoun, Loughborough University11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:15 - 4:50pm EDTEstimating long-term behavior of periodically driven flows without trajectory integration - Gary Froyland, University of New South Wales11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, April 5, 2016
TimeEventLocationMaterials
9:00 - 9:35am EDTInteractive theorem proving, automated reasoning, and dynamical systems - Jeremy Avigad, Carnegie Mellon University11th Floor Lecture Hall
9:45 - 10:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:15 - 10:50am EDTConformal maps- Computability and Complexity - Ilia Binder, University of Toronto11th Floor Lecture Hall
11:00 - 11:35am EDTOn computational aspects of the Feigenbaum fixed point of the period doubling renormalization. - Artem Dudko, Stony Brook University11th Floor Lecture Hall
11:45 - 12:00pm EDTBreak  
12:00 - 12:35pm EDTComputability and computational complexity in dynamical systems. - Cristóbal Rojas, Universidad Andrés Bello (Santiago)11th Floor Lecture Hall
12:45 - 3:00pm EDTBreak for Lunch / Free Time  
3:00 - 3:35pm EDTDynamic Signatures Generated by Regulatory Networks - Konstantin Mischaikow, Rutgers University11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:15 - 4:50pm EDTConley Index Theory, Symbolic Dynamics, and Entropy - Sarah Day, College of William and Mary11th Floor Lecture Hall
Wednesday, April 6, 2016
TimeEventLocationMaterials
9:00 - 9:35am EDTStochastic Arnold diffusion of deterministic systems - Vadim Kaloshin, University of Maryland11th Floor Lecture Hall
9:45 - 10:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:15 - 10:50am EDTTransition chains of invariant tori around L1 in the Sun-Earth system - Pablo Roldán González, Instituto Tecnológico Autónomo de México (ITAM)11th Floor Lecture Hall
11:00 - 11:35am EDTOn rigorous verification of the crossed mapping condition - Zin Arai, Hokkaido University11th Floor Lecture Hall
11:45 - 12:00pm EDTBreak  
12:00 - 12:35pm EDTOn the bifurcation of hyperbolic invariant manifolds- From Numerics to Rigorous results, and then back to Numerics. - Jordi-Lluís Figueras, Uppsala University11th Floor Lecture Hall
12:45 - 1:00pm EDTGroup Photo in Lecture Hall11th Floor Lecture Hall 
1:00 - 3:00pm EDTBreak for Lunch / Free Time  
3:00 - 5:00pm EDTCollaboration and Work Time  
3:45 - 4:15pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, April 7, 2016
TimeEventLocationMaterials
9:00 - 9:35am EDTPeriodic solutions for some hyperbolic PDEs - Hans Koch, University of Texas at Austin11th Floor Lecture Hall
9:45 - 10:15am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:15 - 10:50am EDTRigorous estimation of the speed of convergence to equilibrium. - Stefano Galatolo, University of Pisa11th Floor Lecture Hall
11:00 - 11:35am EDTIntroduction to the software package `Dynamics Explorer' for exploration of discrete dynamical systems - Suzanne Lynch Boyd, University of Wisconsin-Milwaukee11th Floor Lecture Hall
11:45 - 12:00pm EDTBreak  
12:00 - 12:35pm EDTSharp mixing rates via inducing w.r.t. general return times - Dalia Terhesiu, University of Vienna11th Floor Lecture Hall
12:45 - 3:00pm EDTBreak for Lunch / Free Time  
3:00 - 3:35pm EDTComputer-assisted proofs for periodic orbits of PDEs - Jean-Philippe Lessard, Université Laval11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:15 - 4:50pm EDTSet-oriented computation in dynamics - Kathrin Padberg-Gehle, Technische Universität Dresden11th Floor Lecture Hall
Friday, April 8, 2016
TimeEventLocationMaterials
9:00 - 9:35am EDTInterval Analysis Methods for Elliptic Boundary Value Problems - Irina Mitrea, Temple University11th Floor Lecture Hall
9:45 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:05am EDTRigorous Approximation of stationary Measures and Convergence to Equilbrium for Iterated Function Systems - Maurizio Monge, Federal University of Rio de Janeiro (UFRJ)11th Floor Lecture Hall
11:15 - 11:50am EDTSome practical and theoretical issues in computational ergodic theory - Isaia Nisoli, Federal University of Rio de Janeiro (UFRJ)11th Floor Lecture Hall 
12:00 - 12:15pm EDTBreak  
12:15 - 12:50pm EDTMinkowski's question mark function and measure. - Giorgio Mantica, Universita' dell'Insubria11th Floor Lecture Hall 
1:00 - 3:00pm EDTBreak for Lunch / Free Time  
3:00 - 3:35pm EDTMelnikov-type method for splitting of separatrices for an explicit range of small parameter - Piotr Zgliczynski, Jagiellonian University11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:15 - 4:50pm EDTRigorous integration of dissipative PDEs revisited- chaos in the Kuramoto-Sivashinsky equations. - Daniel Wilczak, Jagiellonian University11th Floor Lecture Hall
Monday, April 11, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, April 12, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 13, 2016
TimeEventLocationMaterials
9:30 - 10:30am EDTProfessional Development - Grant Proposals11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, April 14, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, April 15, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, April 18, 2016
TimeEventLocationMaterials
12:00 - 1:00pm EDTPython Boot Camp (Not open to the public) - Royal Wang, Brown University10th Floor Seminar Room 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, April 19, 2016
TimeEventLocationMaterials
2:30 - 3:15pm EDTTopological Entropy of Maps with Low Smoothness - Peter Hazard, Uppsala University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 20, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, April 21, 2016
TimeEventLocationMaterials
2:30 - 3:15pm EDTV-variable Fractals - Örjan Stenflo, Uppsala University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, April 22, 2016
TimeEventLocationMaterials
12:00 - 1:00pm EDTPython Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
1:00 - 1:15pm EDTBreak11th Floor Collaborative Space 
1:15 - 2:15pm EDTPython Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, April 25, 2016
TimeEventLocationMaterials
12:00 - 1:00pm EDTPython Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, April 26, 2016
TimeEventLocationMaterials
2:30 - 3:15pm EDTA smooth perturbation of Furstenberg's theorem on times-m invariant sets - Michael Hochman, The Hebrew University of Jerusalem11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 27, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, April 28, 2016
TimeEventLocationMaterials
12:00 - 1:00pm EDTPython Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
2:30 - 3:15pm EDTHausdorff dimension for some hyperbolic attractors with overlaps. - Karoly Simon, Budapest University of Technology and Economics11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, April 29, 2016
TimeEventLocationMaterials
12:00 - 1:00pm EDTPython Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Monday, May 2, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Tuesday, May 3, 2016
TimeEventLocationMaterials
2:30 - 3:15pm EDTZeros of the Selberg zeta function for non-compact surfaces - Polina Vytnova (QM-UL and ICERM)11th Floor Lecture Hall 
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Wednesday, May 4, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Thursday, May 5, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
Friday, May 6, 2016
TimeEventLocationMaterials
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 

Mini-Courses

  • A class of random Cantor measures, with applications - Pablo Shmerkin, Universidad Torcuato Di Tella
  • Schmidt games and fractals in dynamics and number theory - Barak Weiss, Tel Aviv University
  • Schmidt games and fractals in dynamics and number theory - Dmitry Kleinbock, Brandeis University
  • Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem
  • Symbolic dynamics for hyperbolic systems - Yuri Lima, University of Paris
  • Microlocal techniques for hyperbolic dynamics - Semyon Dyatlov, MIT
  • Multifractal analysis, large deviations and Fourier transforms for countable branch expanding maps - Thomas Jordan, University of Bristol

Associated Semester Workshops

Computation in Dynamics
Image for "Computation in Dynamics"
Apr 4 - 8, 2016
Semester Workshop

Lecture Videos

Mini-course: Schmidt games and fractals in dynamics and number theory (Part 2)

Barak Weiss
Tel Aviv University
February 10, 2016
Dimension and Dynamics
Play

Mini-course: Schmidt games and fractals in dynamics and number theory (Part 1)

Barak Weiss
Tel Aviv University
February 10, 2016
Dimension and Dynamics
Play

Mini-course: A class of random Cantor measures, with applications (Part 2)

Pablo Shmerkin
Torcuato Di Tella University
February 10, 2016
Dimension and Dynamics
Play

Mini-course: A class of random Cantor measures, with applications (Part 1)

Pablo Shmerkin
Torcuato Di Tella University
February 10, 2016
Dimension and Dynamics
Play

Publications

  • Béla Barabás, Ottilia Fülöp, Roland Molontay, Gyula Pályi, Impact of the discovery of fluorous biphasic systems on chemistry: A statistical and network analysis, ACS Sustainable Chemistry \& Engineering 5 (2017) no. 9, 8108--8118.
  • Mayer Humi, John Roumas, Structure of polytropic stars in General Relativity, Astrophysics and Space Science 364 (2019) no. 7.
  • Kyle Hambrook, Krystal Taylor, Measure and dimension of sums and products, Proc. Amer. Math. Soc. 149 (2021) no. 9, 3765--3780.
  • Ill{\'e}s Horv{\'a}th, Istv{\'a}n Finta, Ferenc Kov{\'a}cs, Andr{\'a}s M{\'e}sz{\'a}ros, Roland Molontay, Kriszti{\'a}n Varga, Markovian queue with garbage collection, International Conference on Analytical and Stochastic Modeling Techniques and Applications, Springer, 2017, pp. 109--124.
  • Attila Egri, Ill{\'e}s Horv{\'a}th, Ferenc Kov{\'a}cs, Roland Molontay, Kriszti{\'a}n Varga, Cross-correlation based clustering and dimension reduction of multivariate time series, 2017 IEEE 21st International Conference on Intelligent Engineering Systems (INES), IEEE, 2017, pp. 000241--000246.
  • Martina Z{\""a}hle, Erik Schneider, Forward integrals and SDE with fractal noise, Horizons of fractal geometry and complex dimensions 731 (2019), 279--302.
  • Lorenzo J. D'iaz, Katrin Gelfert, Maik Groger, Tobias Jager, Hyperbolic graphs: Critical regularity and box dimension, Transactions of the American Mathematical Society (2019).
  • Katrin Gelfert, Daniela Oliveira, Invariant multi-graphs in step skew-products, Dynamical Systems 35 (2019), 1 - 28.
  • Pablo Shmerkin, \$\$L^q\$\$ Dimensions of Self-similar Measures and Applications: A Survey, New Trends in Applied Harmonic Analysis, Volume 2 (2019).
  • Jialu Fang, Yongluo Cao, Yun Zhao, Measure theoretic pressure and dimension formula for non-ergodic measures, Discrete \& Continuous Dynamical Systems - A (2020).
  • Nishant Chandgotia, Brian Marcus, Mixing properties for hom-shifts and the distance between walks on associated graphs, Pacific Journal of Mathematics 294 (2018) no. 1, 41–69.
  • Daniel Coronel, Cristobal Rojas, Michael Yampolsky, Non computable Mandelbrot-like sets for a one-parameter complex family, Inf. Comput. 262 (2018), 110-122.
  • Renato Calleja, Marta Canadell, Alex Haro, Non-twist invariant circles in conformally symplectic systems, Communications in Nonlinear Science and Numerical Simulation 96 (2021), 105695.
  • Pablo Shmerkin, On Furstenberg's intersection conjecture, self-similar measures, and the Lq norms of convolutions, Annals of Mathematics (2019).
  • Péter Bálint, Thomas Gilbert, Péter Nándori, Domokos Szász, Imre Péter Tóth, On the Limiting Markov Process of Energy Exchanges in a Rarely Interacting Ball-Piston Gas, Journal of Statistical Physics 166 (2016) no. 3-4, 903–925.
  • Yuanyang Chang, Min Wu, Wen Wu, Quantitative recurrence properties and homogeneous self-similar sets, Proceedings of the American Mathematical Society (2018).
  • Katrin Gelfert, Örjan Stenflo, Random iterations of homeomorphisms on the circle, Modern Stochastics: Theory and Applications 4 (2017) no. 3, 253–271.
  • Cristobal Rojas, Michael Yampolsky, Real Quadratic Julia Sets Can Have Arbitrarily High Complexity, Foundations of Computational Mathematics 21 (2021), 59-69.
  • Denis Gaidashev, Remus Radu, Michael Yampolsky, Renormalization and Siegel disks for complex H\'enon maps, J. Eur. Math. Soc. (JEMS) 23 (2021) no. 4, 1053--1073.
  • Warwick Tucker, \it Rigorous numerics in dynamics [book review of MR3822720], SIAM Rev. 62 (2020) no. 2, 524--526.
  • P. Pilarczyk, S. Luzzatto, Rigorous computation of escape times for parameter intervals in the quadratic map, 2021, .
  • Zbigniew Galias, Warwick Tucker, Rigorous integration of smooth vector fields around spiral saddles with an application to the cubic Chua's attractor, Journal of Differential Equations 266 (2019) no. 5, 2408-2434.
  • A. Golmakani, C. E. Koudjinan, S. Luzzatto, P. Pilarczyk, Rigorous numerics for critical orbits in the quadratic family, Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (2020) no. 7, 073143.
  • 'Abel Farkas, Jonathan M Fraser, Erez Nesharim, David Simmons, SCHMIDT'S GAME ON HAUSDORFF METRIC AND FUNCTION SPACES: GENERIC DIMENSION OF SETS AND IMAGES, Mathematika (2020).
  • Yakov Pesin, Sinai's Work on Markov Partitions and SRB Measures, 2019.
  • Koji Sato, Ryokichi Tanaka, Solitons in one-dimensional mechanical linkage, Physical Review E 98 (2018) no. 1.
  • Vaughn Climenhaga, Stefano Luzzatto, Yakov Pesin, SRB Measures and Young Towers for Surface Diffeomorphisms, Annales Henri Poincar{\'e} (2021).
  • Michael Yampolsky, Jonguk Yang, The Boundaries of Golden-Mean Siegel Disks in the Complex Quadratic H\'enon Family Are Not Smooth, New Trends in One-Dimensional Dynamics (2019).
  • JIANYU CHEN, HUYI HU, YAKOV PESIN, KE ZHANG, The essential coexistence phenomenon in Hamiltonian dynamics, Ergodic Theory and Dynamical Systems (2021), 1–22.
  • Martina Zähle, The Mean Minkowski Content of Homogeneous Random Fractals, 2020.
  • Y. PESIN, S. SENTI, K. ZHANG, Thermodynamics of the Katok map, Ergodic Theory and Dynamical Systems 39 (2017) no. 3, 764–794.
  • RYOKICHI TANAKA, Topological flows for hyperbolic groups, Ergodic Theory and Dynamical Systems (2020), 1–47.
  • Júlia Komjáthy, Roland Molontay, Károly Simon, Transfinite fractal dimension of trees and hierarchical scale-free graphs, Journal of Complex Networks 7 (2019) no. 5, 764–791.
  • Keith Burns, Vaughn Climenhaga, Todd Fisher, Daniel J. Thompson, Unique equilibrium states for geodesic flows in nonpositive curvature, Geometric and Functional Analysis 28 (2017), 1209-1259.
  • T. Tsutsumi, Yuriko Ono, Z. Arai, T. Taketsugu, Visualization of dynamics effect: projection of on-the-fly trajectories to the subspace spanned by the static reaction path network., Journal of chemical theory and computation (2020).
  • Pedro Birindiba, Katrin Gelfert, When winning sets have full dimension, Involve: A Journal of Mathematics 14 (2021) no. 2, 195 -- 207.
  • Ian D. Morris, Pablo Shmerkin, On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems, arXiv 1602.08789 (2016).
  • Dmitry Dolgopyat, Bassam Fayad, Limit theorems for toral translations, arXiv 2006.11748 (2020).
  • Izabella Laba, Maximal operators and decoupling for \$\Lambda(p)\$ Cantor measures, arXiv 1808.05657 (2018).
  • M. Benedicks, M. Martens, L. Palmisano, Newhouse Laminations., arXiv 1811.00617 (2018).
  • Artem Dudko, Michael Yampolsky, On computational complexity of Cremer Julia sets, arXiv 1907.11047 (2019).
  • Eino Rossi, Pablo Shmerkin, On measures that improve \$L^q\$ dimension under convolution, arXiv 1812.05660 (2018).
  • Zin Arai, Yutaka Ishii, On parameter loci of the H\'enon family., arXiv 1501.01368 (2015).
  • Vaughn Climenhaga, SRB and equilibrium measures via dimension theory, arXiv 2009.09260 (2020).
  • Laura Cladek, Blair Davey, Krystal Taylor, Upper and lower bounds on the rate of decay of the Favard curve length for the four-corner Cantor set, arXiv 2003.03620 (2020).
  • P'eter B'alint, Thomas Gilbert, Domokos Sz'asz, Imre P'eter T'oth, What mathematical billiards teach us about statistical physics, arXiv 2009.06284 (2020).
  • Yuanyang Chang, Min Wu, Wen Wu, Quantitative recurrence properties and homogeneous self-similar sets, Proceedings of the American Mathematical Society (2018).
  • Wael Bahsoun, Christopher J. Bose, Marks Ruziboev, Quenched decay of correlations for slowly mixing systems, Transactions of the American Mathematical Society (2019).
  • Laura Cladek, Radial Fourier multipliers in ℝ3 and ℝ4, Analysis & PDE 11 (2018) no. 2, 467–498.
  • Katrin Gelfert, Örjan Stenflo, Random iterations of homeomorphisms on the circle, Modern Stochastics: Theory and Applications 4 (2017) no. 3, 253–271.
  • J{\'e}r{\'e}mie Brieussel, Ryokichi Tanaka, Tianyi Zheng, Random walks on the discrete affine group, Groups, Geometry, and Dynamics (2021).
  • Guozhen Lu, Qiaohua Yang, Sharp Hardy–Adams inequalities for bi-Laplacian on hyperbolic space of dimension four, Advances in Mathematics 319 (2017), 567-598.
  • Rafael de la Llave, Simple proofs and extensions of a result of L. D. Pustylnikov on the nonautonomous Siegel theorem, Regul. Chaotic Dyn. 22 (2017) no. 6, 650--676.
  • Y. Pesin, Sinai s Work on Markov Partitions and SRB Measures, 2019, .
  • Lorenzo J. D\'{\i}az, Salete Esteves, Jorge Rocha, Skew product cycles with rich dynamics: from totally non-hyperbolic dynamics to fully prevalent hyperbolicity, Dyn. Syst. 31 (2016) no. 1, 1--40.
  • Mark F. Demers, Mike Todd, Slow and Fast Escape for Open Intermittent Maps, Communications in Mathematical Physics 351 (2017) no. 2, 775–835.
  • Mayer Humi, Solutions to Painleve III and other nonlinear equations by a generalized Cole–Hopf transformation, Mathematical Methods in the Applied Sciences 40 (2017) no. 11, 4092-4101.
  • Jos{\'e} F. Alves, Christian Bonatti, Marcelo Viana, SRB measures for partially hyperbolic systems whose central direction is mostly expanding, Inventiones mathematicae 140 (2000), 351-398.
  • Alexander I. Bufetov, Boris Solomyak, The H\"older property for the spectrum of translation flows in genus two, Israel J. Math. 223 (2018) no. 1, 205--259.
  • Y. PESIN, S. SENTI, K. ZHANG, Thermodynamics of the Katok map, Ergodic Theory and Dynamical Systems 39 (2017) no. 3, 764–794.
  • Yakov Pesin, Agnieszka Zelerowicz, Yun Zhao, Time rescaling of Lyapunov exponents, Advances in dynamics, patterns, cognition, Nonlinear Syst. Complex., vol. 20, Springer, Cham, 2017, pp. 29--40.
  • L. Díaz, Katrin Gelfert, Michal Rams, Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew products, Proceedings of the Steklov Institute of Mathematics 297 (2017), 98-115.
  • Rafael de la Llave, Uniform boundedness of iterates of analytic mappings implies linearization: a simple proof and extensions, Regul. Chaotic Dyn. 23 (2018) no. 1, 1--11.
  • Laura Cladek, Kevin Henriot, Ben Krause, Izabella Łaba, Malabika Pramanik, A discrete carleson theorem along the primes with a restricted supremum, Mathematische Zeitschrift 289 (2016), 1033-1057.
  • Lei Jin, Siming Tu, A new universal real flow of the Hilbert-cubical type, Dynamical Systems 34 (2018), 234 - 238.
  • Artem Dudko, Michael Yampolsky, Almost Every Real Quadratic Polynomial has a Poly-time Computable Julia Set, Foundations of Computational Mathematics 18 (2018), 1233-1243.
  • L. Marangio, J. Sedro, S. Galatolo, A. Di Garbo, M. Ghil, Arnold Maps with Noise: Differentiability and Non-monotonicity of the Rotation Number, Journal of Statistical Physics 179 (2019) no. 5-6, 1594–1624.
  • Dmitry Dolgopyat, P'eter N'andori, Franccoise Pene, Asymptotic expansion of correlation functions for \$\mathbb\Z^d\$ covers of hyperbolic flows, 2019, .
  • M. Benedicks, L. Palmisano, Coexistence phenomena in the H\'enon family, 2018, .
  • Cristobal Rojas, Michael Yampolsky, Computational intractability of attractors in the real quadratic family, Advances in Mathematics (2019).
  • Jan Rataj, Martina Z\"{a}hle, Curvature measures of singular sets, Springer Monographs in Mathematics, Springer, Cham, 2019.
  • Yongluo Cao, Yakov Pesin, Yun Zhao, Dimension Estimates for Non-conformal Repellers and Continuity of Sub-additive Topological Pressure, Geometric and Functional Analysis (2019).
  • Jonathan M Fraser, Thomas Jordan, Natalia Jurga, Dimensions of equilibrium measures on a class of planar self-affine sets, Journal of Fractal Geometry (2019).
  • Péter Bálint, Péter Nándori, Domokos Szász, Imre Péter Tóth, Equidistribution for Standard Pairs in Planar Dispersing Billiard Flows, Annales Henri Poincaré 19 (2018) no. 4, 979–1042.
  • Rodrigo Trevi{\~n}o, Equilibrium Configurations for Generalized Frenkel–Kontorova Models on Quasicrystals, Communications in Mathematical Physics (2019).
  • Vaughn Climenhaga, Yakov Pesin, Agnieszka Zelerowicz, Equilibrium measures for some partially hyperbolic systems, Journal of Modern Dynamics 16 (2020) no. 0, 155–205.
  • Vaughn Climenhaga, Yakov Pesin, Agnieszka Zelerowicz, Equilibrium states in dynamical systems via geometric measure theory, Bulletin of the American Mathematical Society (2018).
  • Pablo Shmerkin, Ville Suomala, Patterns in random fractals, arXiv 1703.09553 (2017).
  • Alex Iosevich, Krystal Taylor, Ignacio Uriarte-Tuero, Pinned Geometric Configurations in Euclidean Space and Riemannian Manifolds, arXiv 1610.00349 (2016).
  • Dzmitry Badziahin, Stephen Harrap, Erez Nesharim, David Simmons, Schmidt games and Cantor winning sets, arXiv 1804.06499 (2018).
  • Efrat Bank, Erez Nesharim, Steffen Hojris Pedersen, Solution of Cassels' Problem on a Diophantine Constant over Function Fields, arXiv 1512.07231 (2015).
  • Franccois Ledrappier, Lin Shu, THE REGULARITY OF THE LINEAR DRIFT IN NEGATIVELY CURVED SPACES, arXiv 1711.02859 (2018).
  • Chang Shing Chen, Meng Wu, Wen Wu, Accessible Values for the Assouad and Lower Dimensions of Subsets, arXiv 1602.02180 (2016).
  • Yakov Pesin, Samuel Senti, Farruh Shahidi, Area preserving surface diffeomorphisms with polynomial decay of correlations are ubiquitous, arXiv 2003.08503 (2020).
  • Izabella Laba, Hong Wang, Decoupling and near-optimal restriction estimates for Cantor sets, arXiv 1607.08302 (2016).
  • Jacopo de Simoi, Dmitry Dolgopyat, Dispersing Fermi-Ulam Models, arXiv 2003.00053 (2020).
  • Stefano Galatolo, Maurizio Monge, Isaia Nisoli, Existence of noise induced order, a computer aided proof, arXiv 1702.07024 (2017).
  • Michael Benedicks, Michal Misiurewicz, Ana Rodrigues, Expansion properties of Double Standard Maps, arXiv 2002.02019 (2020).
  • Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski, P'eter N'andori, Flexibility of statistical properties for smooth systems satisfying the central limit theorem, arXiv 2006.02191 (2020).
  • Paweł Pilarczyk, A space-efficient algorithm for computing the minimum cycle mean in a directed graph, 2020.
  • Jordi-Llu{\'i}s Figueras, Rafael de la Llave, Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky Equation, SIAM J. Appl. Dyn. Syst. 16 (2017), 834-852.
  • Pablo Shmerkin, On Furstenberg's intersection conjecture, self-similar measures, and the Lq norms of convolutions, Annals of Mathematics (2019).
  • Xiaotao Lü, Jin Chen, Zhixiong Wen, Wen Wu, On the abelian complexity of the Rudin–Shapiro sequence, Journal of Mathematical Analysis and Applications 451 (2017) no. 2, 822–838.
  • Michael Hochman, Boris Solomyak, On the dimension of Furstenberg measure for $$ SL_2(\mathbb R)$$ S L 2 ( R ) random matrix products, Inventiones mathematicae 210 (2017) no. 3, 815–875.
  • Wael Bahsoun, Marks Ruziboev, On the statistical stability of Lorenz attractors with a \$C^\1+\unicode[STIX]\x1D6FC\$ stable foliation, Ergodic Theory and Dynamical Systems 39 (2019), 3169 - 3184.
  • Thomas E. Carter, Mayer Humi, Optimal Planar Impulsive Transfer Using Transformed Variables, .
  • Mayer Humi, John Roumas, Pattern Formation for Isentropic Gas in General Relativity, (2017), .
  • Mayer Humi, Patterns Formation in a Self-Gravitating Isentropic Gas, Earth, Moon, and Planets 121 (2018), .
  • Lorenzo J. D{\'i}az, Katrin Gelfert, Michał Rams, Nonhyperbolic step skew-products: Ergodic approximation, arXiv 1602.06845 (2016).
  • Ian D. Morris, Pablo Shmerkin, On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems, arXiv 1602.08789 (2016).
  • Jin Chen, Xiaotao L{\"u}, Wen Wu, On the k-abelian complexity of the Cantor sequence, arXiv 1703.04063 (2018).
  • Jonathan M Fraser, Tom Kempton, On the L^q Dimensions of Measures on Hueter-Lalley Type Self-Affine Sets, arXiv 1607.00894 (2016).
  • Pablo D. Carrasco, Federico Juan Rodriguez Hertz, Jana Rodriguez Hertz, Ra'ul Ures, Partially hyperbolic dynamics in dimension 3, arXiv 1501.00932 (2015).
  • Marta Canadell, \`Alex Haro, Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown, J. Nonlinear Sci. 27 (2017) no. 6, 1829--1868.
  • Marta Canadell, \`Alex Haro, Computation of quasiperiodic normally hyperbolic invariant tori: rigorous results, J. Nonlinear Sci. 27 (2017) no. 6, 1869--1904.
  • Stefano Galatolo, Mark Pollicott, Controlling the statistical properties of expanding maps, Nonlinearity 30 (2017) no. 7, 2737–2751.
  • K{\'a}roly Simon, Krystal Taylor, Dimension and measure of sums of planar sets and curves, 2017, .
  • RYOKICHI TANAKA, Dimension of harmonic measures in hyperbolic spaces, Ergodic Theory and Dynamical Systems 39 (2017) no. 2, 474–499.
  • Lifeng Xi, Wen Wu, Ying Xiong, Dimension of slices through fractals with initial cubic pattern, Chin. Ann. Math. Ser. B 38 (2017) no. 5, 1145--1178.
  • Sascha Troscheit, Dimension Theory of Random Self-similar and Self-affine Constructions, Ph.D. thesis, 2017.
  • Jairo Bochi, Christian Bonatti, Katrin Gelfert, Dominated Pesin theory: convex sum of hyperbolic measures, Israel Journal of Mathematics 226 (2015), 387-417.
  • Lorenzo J. D{\'i}az, Katrin Gelfert, Michał Rams, Entropy Spectrum of Lyapunov Exponents for Nonhyperbolic Step Skew-Products and Elliptic Cocycles, Communications in Mathematical Physics 367 (2019), 351-416.
  • Rodrigo Trevi{\~n}o, Flat surfaces, Bratteli diagrams and unique ergodicity \`a la Masur, Israel Journal of Mathematics 225 (2016), 35-70.
  • Lorenzo J. D'iaz, Katrin Gelfert, Maik Groger, Tobias Jager, Hyperbolic graphs: Critical regularity and box dimension, Transactions of the American Mathematical Society (2019).
  • K{\'a}roly Simon, Krystal Taylor, Interior of sums of planar sets and curves, Mathematical Proceedings of the Cambridge Philosophical Society 168 (2018), 119 - 148.
  • Qing Hong, Guozhen Lu, Lu Zhang, L p boundedness of rough bi-parameter Fourier integral operators, Forum Mathematicum 30 (2015), 107 - 87.
  • Marks Ruziboev, Almost sure rates of mixing for random intermittent maps, arXiv 1801.09583 (2017).
  • Sascha Troscheit, Exact Hausdorff and packing measures for random self-similar code-trees with necks, arXiv 1710.07167 (2017).
  • Stefano Galatolo, Maurizio Monge, Isaia Nisoli, Existence of noise induced order, a computer aided proof, arXiv 1702.07024 (2017).
  • Henk Bruin, Mark F. Demers, Mike Todd, Hitting and escaping statistics: mixing, targets and holes, arXiv 1609.01196 (2016).
  • K{\'a}roly Simon, S'andor Moln'ar, J{\'u}lia Komj{\'a}thy, P'eter M'ora, Large Deviation Multifractal Analysis of a Process Modeling TCP CUBIC, arXiv 1705.11039 (2017).
  • Wael Bahsoun, Marks Ruziboev, Beno{\^i}t Saussol, Linear response for random dynamical systems, arXiv 1710.03706 (2017).
  • Jon Chaika, Rodrigo Trevi{\~n}o, Logarithmic laws and unique ergodicity, arXiv 1603.00076 (2016).
  • Jordi-Llu{\'i}s Figueras, Marcio Gameiro, Jean‐Philippe Lessard, Rafael de la Llave, A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations, SIAM J. Appl. Dyn. Syst. 16 (2017), 1070-1088.
  • Zeya Mi, Yongluo Cao, Dawei Yang, A note on partially hyperbolic systems with mostly expanding centers, Proc. Amer. Math. Soc. 145 (2017) no. 12, 5299--5313.
  • Santiago Saglietti, Pablo Shmerkin, Boris Solomyak, Absolute continuity of non-homogeneous self-similar measures, Advances in Mathematics 335 (2018), 60–110.
  • Pablo Shmerkin, Ville Suomala, A class of random Cantor measures, with applications, arXiv 1603.08156 (2015).
  • Jasmina Angelevska, Sascha Troscheit, A dichotomy of self-conformal subsets of the real line with overlaps, arXiv 1602.05821 (2016).
  • Wael Bahsoun, Stefano Galatolo, Isaia Nisoli, Xiaolong Niu, A Rigorous Computational Approach to Linear Response, arXiv 1506.08661 (2015).