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.

Photo Credit: Mark A. Wilson

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee

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

Semester Schedule

Monday, February 1, 2016
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9:00 - 4:00Dimension and Dynamics Check-In121 South Main Street (11th Floor) 
4:15 - 5:00Informal Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, February 2, 2016
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9:30 - 10:00ICERM Director Welcome - Jill Pipher, ICERM Director11th Floor Lecture Hall 
10:00 - 10:45Brief 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 - 11:15Coffee/Tea Break11th Floor Collaborative Space 
11:15 - 11:205-minute Graduate student introductions - Laura Cladek, University of Wisconsin - Madison11th Floor Lecture Hall 
11:20 - 11:255-minute Graduate student introductions - Natalia Jurga, University of Warwick11th Floor Lecture Hall 
11:25 - 11:305-minute Graduate student introductions - Roland Molontay, Budapest University11th Floor Lecture Hall 
11:30 - 11:355-minute Graduate student introductions - Erez Nesharim, Tel Aviv University11th Floor Lecture Hall 
11:35 - 11:405-minute Graduate student introductions - Vuksan Mijovic, University of St Andrews11th Floor Lecture Hall 
11:40 - 11:455-minute Graduate student introductions - Sasha Troscheit, University of St. Andrews11th Floor Lecture Hall 
11:45 - 11:505-minute Graduate student introductions - John Yang, University of Toronto11th Floor Lecture Hall 
11:50 - 11:555-minute Graduate student introductions - Agnieszka Zelerowicz, Penn State University11th Floor Lecture Hall 
12:00 - 2:30Lunch and Free Time  
2:30 - 2:4010-minute Postdoc introductions - Marta Canadell, ICERM Institute Postdoc11th Floor Lecture Hall 
2:40 - 2:5010-minute Postdoc introductions - Nishant Chandgotia, ICERM Semester Postdoc11th Floor Lecture Hall 
2:50 - 3:0010-minute Postdoc introductions - Abel Farkas, ICERM Semester Postdoc11th Floor Lecture Hall 
3:00 - 3:1010-minute Postdoc introductions - Peter Hazard, University of Toronto11th Floor Lecture Hall 
3:10 - 3:2010-minute Postdoc introductions - Zhiqiang Li, ICERM Semester Postdoc11th Floor Lecture Hall 
3:30 - 4:30Coffee/Tea Break and Free Time  
4:30 - 6:30Welcome Reception11th Floor Collaborative Space 
Wednesday, February 3, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, February 4, 2016
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11:00 - 11:30IT Tutorial - Brian Lavall, ICERM Technical Support Coordinator11th Floor Lecture Hall 
2:00 - 3:15An example of renormalization in dynamics: rotational attractions of 2D maps. - Michael Yampolsky, University of Toronto  
3:15 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:15Subadditive topological pressure for nonconformal repeller and it's continuity - Yongluo Cao, Suzhou University11th Floor Lecture Hall 
Friday, February 5, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, February 9, 2016
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1:00 - 2:00Graduate Student/Postdoc Lunch11th Floor Conference Room 
3:30 - 4:00Coffee/Tea Break11th Floor Lecture Hall 
Wednesday, February 10, 2016
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11:00 - 11:45Mini-course: A class of random Cantor measures, with applications - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall 
11:45 - 12:15Coffee/Tea Break11th Floor Collaborative Space 
12:15 - 1:00Mini-course: A class of random Cantor measures, with applications - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall 
1:15 - 3:30Break for Lunch/Free Time  
3:30 - 4:10Mini-course: Schmidt games and fractals in dynamics and number theory - Barak Weiss, Tel Aviv University11th Floor Lecture Hall 
4:15 - 4:45Coffee/Tea Break11th Floor Collaborative Space 
4:45 - 5:30Mini-course: Schmidt games and fractals in dynamics and number theory - Barak Weiss, Tel Aviv University11th Floor Lecture Hall 
Thursday, February 11, 2016
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11:00 - 11:45Mini-course: Schmidt games and fractals in dynamics and number theory - Dmitry Kleinbock, Brandeis University11th Floor Lecture Hall 
11:45 - 12:15Coffee/Tea Break11th Floor Collaborative Space 
12:15 - 1:00Mini-course: Schmidt games and fractals in dynamics and number theory - Dmitry Kleinbock, Brandeis University11th Floor Lecture Hall 
1:15 - 3:30Break for Lunch/Free Time  
3:30 - 4:15Mini-course: Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall 
4:15 - 4:45Coffee/Tea Break11th Floor Collaborative Space 
4:45 - 5:30Mini-course: Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall 
5:30 - 6:30Light Reception11th Floor Collaborative Space 
Friday, February 12, 2016
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11:00 - 11:45Mini-course: A class of random Cantor measures, with applications - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall 
11:45 - 12:15Coffee/Tea Break11th Floor Collaborative Space 
12:15 - 1:00Mini-course: A class of random Cantor measures, with applications - Pablo Shmerkin, Torcuato Di Tella University11th Floor Lecture Hall 
1:15 - 3:30Break for Lunch/Free Time  
3:30 - 4:15Mini-course: Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall 
4:15 - 4:45Coffee/Tea Break11th Floor Collaborative Space 
4:45 - 5:30Mini-course: Equidistribution and dimension via additive combinatorics - Elon Lindenstrauss, The Hebrew University of Jerusalem11th Floor Lecture Hall 
Monday, February 15, 2016
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8:30 - 8:55Registration11th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45Tangents of curves and projection theorem in infinite dimensional spaces - Marianna Csörnyei, University of Chicago11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Ledrappier-Young formula and exact dimensionality of self-affine measures - Balázs Bárány, University of Warwick11th Floor Lecture Hall
11:30 - 12:15Finite point configurations- a survey of techniques and ideas - Alex Iosevich, University of Rochester11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Measurable equidecompositions and circle squaring - András Máthé, University of Warwick11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Some questions in discretized additive combinatorics - Joshua Zahl, MIT11th Floor Lecture Hall 
5:00 - 6:30Welcome Reception11th Floor Collaborative Space 
Tuesday, February 16, 2016
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9:00 - 9:45Dimensions of projected sets and measures on self-affine sets - De-Jun Feng, The Chinese University of Hong Kong11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:00 - 10:15Poster Presentation - Magdalena Nowak11th Floor Collaborative Space 
10:30 - 11:15Dimension estimates for spectral measures in Dynamics - Boris Solomyak, Bar-Ilan University11th Floor Lecture Hall
11:30 - 12:15Hausdorff dimension and non-uniquely ergodic interval exchange transformations. - Jon Chaika, University of Utah11th Floor Lecture Hall
12:40 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Discrete Analogues in Harmonic Analysis- A Quadratic Carleson Theorem - Ben Krause, UCLA11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Fractional maximal operators and geometric consequences. - Krystal Taylor, The Ohio State University11th Floor Lecture Hall 
Wednesday, February 17, 2016
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9:00 - 9:45Polynomial configurations in fractal sets. - Izaballa Laba, University of British Columbia11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15A Roth type theorem for large subsets of multidimensional Euclidean spaces - Malabika Pramanik, University of British Columbia11th Floor Lecture Hall
11:30 - 12:15Problem Session11th Floor Lecture Hall 
12:30 - 2:15Break for Lunch / Free Time  
2:15 - 4:30Discussion / Work Time  
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
Thursday, February 18, 2016
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9:00 - 9:45Hausdorff dimension of singular vectors - Yitwah Cheung, San Francisco State University11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15A new complexity function of repetition and irrationality exponents - Dong Han Kim, Dongguk University11th Floor Lecture Hall 
11:30 - 12:15Extremality and dynamically defined measures - David Simmons, Ohio State University11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15New constructions of Kakeya and Besicovitch sets - Yuval Peres, Microsoft Research11th Floor Lecture Hall
3:15 - 3:30On-line Exit Survey Reminder - 11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Self affine sets with a fibered tangent structure - Henna Koivusalo, University of York11th Floor Lecture Hall
Friday, February 19, 2016
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9:00 - 9:45Dimension of Furstenberg measure of SL_2(R) random matrix products - Michael Hochman, Hebrew University11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15Fractal percolation is purely a-unrectifiable - Esa Järvenpää, University of Oulu11th Floor Lecture Hall
11:30 - 12:15On the dimension of diagonally affine self-affine sets and overlaps. - Karoly Simon, Budapest University of Technology and Economics11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
12:30 - 12:40Group Photo in Lecture Hall11th Floor Lecture Hall 
2:30 - 3:15Sections and projections of random fractals and measures - Kenneth Falconer, University of St. Andrews11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Monday, February 22, 2016
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3:30 - 4:00Coffee/Tea Break  
Tuesday, February 23, 2016
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2:00 - 2:45Nonhyperbolic skew products: an axiomatic approach - Katrin Gelfert, Universidade Federal do Rio de Janerio11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break  
3:30 - 4:15Ergodicity and partial hyperbolicity on unit tangent bundles of surfaces I - Jana Rodriguez Hertz, IMERL11th Floor Lecture Hall 
Wednesday, February 24, 2016
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9:30 - 10:30Professional Development - Ethics in Research I11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break  
Thursday, February 25, 2016
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2:00 - 2:45Nonhyperbolic skew products: ergodic approximations and exposed pieces - Katrin Gelfert, Universidade Federal do Rio de Janerio11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break  
3:30 - 4:15Ergodicity and partial hyperbolicity on unit tangent bundles of surfaces II - Raul Ures, IMERL  
Friday, February 26, 2016
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2:00 - 2:45Thermodynamic formalism in one-dimensional dynamics - Mike Todd, University of St. Andrews11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break  
3:30 - 4:15Thermodynamic formalism in one-dimensional dynamics - Mike Todd, University of St. Andrews11th Floor Lecture Hall 
Monday, February 29, 2016
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2:00 - 2:45Thermodynamic formalism in one-dimensional dynamics - Mike Todd, University of St. Andrews11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, March 1, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 2, 2016
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9:30 - 10:30Professional Development - Ethics in Research II11th Floor Lecture Hall 
1:30 - 2:15Multifractal analysis, large deviations and Fourier transforms for countable branch expanding maps - Thomas Jordan, University of Bristol11th Floor Lecture Hall 
2:30 - 3:00Coffee/Tea Break  
3:00 - 3:45Multifractal analysis, large deviations and Fourier transforms for countable branch expanding maps - Thomas Jordan, University of Bristol11th Floor Lecture Hall 
Thursday, March 3, 2016
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2:00 - 2:45Microlocal techniques for hyperbolic dynamics - Semyon Dyatlov, MIT11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break  
3:30 - 4:15Microlocal techniques for hyperbolic dynamics - Semyon Dyatlov, MIT11th Floor Lecture Hall 
Friday, March 4, 2016
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2:00 - 2:45Symbolic dynamics for hyperbolic systems - Yuri Lima, University of Paris11th Floor Lecture Hall 
3:00 - 3:30Coffee/Tea Break  
3:30 - 4:15Symbolic dynamics for hyperbolic systems - Yuri Lima, University of Paris11th Floor Lecture Hall 
Monday, March 7, 2016
TimeEventLocationMaterials
8:30 - 8:55Registration11th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45Entropies on covers of compact manifolds - Francois Ledrappier, University of Notre Dame Paris11th Floor Lecture Hall
10:00 - 10:45Prime number theorems and holonomies for hyperbolic rational maps - Hee Oh, Yale University11th Floor Lecture Hall
11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15New developments in smooth rigidity of lattice actions. - Federico Rodriguez Hertz, PSU11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Thurston eigenvalues- a spectral gap - Sarah Koch, University of Michigan, Ann Arbor11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Continuity of core entropy of quadratic polynomials - Giulio Tiozzo, Yale University11th Floor Lecture Hall
5:00 - 6:30Welcome Reception11th Floor Collaborative Space 
Tuesday, March 8, 2016
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9:00 - 9:45Non-differentiability points for topological conjugaicies of countable branch Markov maps - Thomas Jordan, University of Bristol11th Floor Lecture Hall
10:00 - 10:45Non-uniform hyperbolicity, symbolic dynamics, and applications - Yuri Lima, University of Paris-Sud11th Floor Lecture Hall
11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15Finiteness of measures maximizing the entropy for surface diffeomorphisms - Sylvain Crovisier, University of Paris11th Floor Lecture Hall
12:30 - 12:40Group Photo in Lecture Hall11th Floor Lecture Hall 
12:40 - 2:30Break for Lunch / Free Time  
2:30 - 3:15Non-uniform specification properties, thermodynamic formalism, and towers - Vaughn Climenhaga, University of Houston11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Unique equilibrium states for geodesic flows in nonpositive curvature - Todd Fisher, Brigham Young University11th Floor Lecture Hall
Wednesday, March 9, 2016
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9:00 - 9:45Criteria for zero averages and applications in partially hyperbolic dynamics. - Lorenzo Diaz, Pontifical Catholic University of Rio de Janeiro11th Floor Lecture Hall
10:00 - 10:45Skeletons for transitive fibered maps - Katrin Gelfert, Federal University of Rio de Janeiro (UFRJ)11th Floor Lecture Hall
11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15Universality of the large deviation principle in one-dimensional dynamics - Yong Moo Chung, Hiroshima University11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time - 11th Floor Lecture Hall 
2:30 - 3:15Decay of correlations in fast-slow partially hyperbolic systems - Jacopo de Simoi, University of Toronto11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Martingale 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
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9:00 - 9:45Quantum chaos and the thermodynamical formalism - Stephane Nonnenmacher, Université Paris-sud11th Floor Lecture Hall
10:00 - 10:45Spectral gaps via additive combinatorics - Semyon Dyatlov, MIT11th Floor Lecture Hall
11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15The spectrum of semi-classical transfer operator for expanding semi-flows with holes. - Masato Tsujii, Kyushu University11th Floor Lecture Hall
12:30 - 2:30Break for Lunch / Free Time - 11th Floor Lecture Hall 
2:30 - 3:15Fourier transforms of measures on the Brownian graph - Jonathan Fraser, University of Manchester11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45Multifractal 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
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9:00 - 9:45Computation and inverse problems for linear response. - Mark Pollicott, University of Warwick11th Floor Lecture Hall
10:00 - 10:45On the fractal geometry of horseshoes in arbitrary dimensions - Carlos Gustavo Moreira, IMPA11th Floor Lecture Hall
11:00 - 11:30Coffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:15New 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 - 1:15Sums of Cantor sets and convolutions of singular measures - Anton Gorodetski, University of California, Irvine11th Floor Lecture Hall
1:30 - 3:15Break for Lunch / Free Time - 11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Monday, March 14, 2016
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2:00 - 2:30Pi Day Coffee/Tea Break  
Tuesday, March 15, 2016
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1:15 - 2:15PD and Grad Student Lunch Check-in - Food will be servedICERM Conference Room 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 16, 2016
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9:30 - 10:30Professional Development - Job applications in academia11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, March 17, 2016
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2:30 - 3:15Research Seminar - FOURIER LAW FROM HAMILTONIAN DYNAMICS - Domokos Szasz, Budapest University of Technology and Economics11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Friday, March 18, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Monday, March 21, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, March 22, 2016
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2:30 - 3:15Research Seminar- Thermodynamics for the Katok map. - Samuel Senti, UFDR11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break10th Floor Collaborative Space (Library Side) 
Wednesday, March 23, 2016
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9:30 - 10:30Professional Development - Hiring Process11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, March 24, 2016
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2:30 - 3:15Fractal Curvatures and Dynamical Systems. - Martina Zahle, Friedrich-Schiller-Universitat11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Friday, March 25, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Monday, March 28, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, March 29, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, March 30, 2016
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9:30 - 10:30Professional Development - Papers and Journals11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, March 31, 2016
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9:30 - 11:30Computer-assisted rigorous estimates for the probability of stochastic dynamics. - Stefano Luzzatto, ICTP11th Floor Lecture Hall 
1:30 - 3:30Part 1. Interval analysis. Part 2. Automatic differentiation - Warwick Tucker, Uppsala University11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Friday, April 1, 2016
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9:30 - 11:30Computability and complexity of Julia sets - Michael Yampolsky, University of Toronto11th Floor Lecture Hall 
1:30 - 3:30Part 3. Computer-aided proofs. - Warwick Tucker, Uppsala University11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Monday, April 4, 2016
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8:30 - 8:55Registration11th Floor Collaborative Space 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:35Universality for golden mean Siegel disks - Denis Gaidashev, Uppsala University11th Floor Lecture Hall
9:45 - 10:15Coffee/Tea Break11th Floor Collaborative Space 
10:15 - 10:50Quasi-periodic solutions for state dependent delay equations. - Rafael de la Llave, Georgia Tech11th Floor Lecture Hall
11:00 - 11:35On 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 - 12:00Break  
12:00 - 12:35Effective computation of expansivity rates in one-dimensional dynamics - Pawel Pilarczyk, IST Austria11th Floor Lecture Hall
12:45 - 3:00Break for Lunch / Free Time  
3:00 - 3:35Linear Response- Formulae and Rigorous Approximations - Wael Bahsoun, Loughborough University11th Floor Lecture Hall
3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space 
4:15 - 4:50Estimating long-term behavior of periodically driven flows without trajectory integration - Gary Froyland, University of New South Wales11th Floor Lecture Hall
5:00 - 6:30Welcome Reception11th Floor Collaborative Space 
Tuesday, April 5, 2016
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9:00 - 9:35Interactive theorem proving, automated reasoning, and dynamical systems - Jeremy Avigad, Carnegie Mellon University11th Floor Lecture Hall
9:45 - 10:15Coffee/Tea Break11th Floor Collaborative Space 
10:15 - 10:50Conformal maps- Computability and Complexity - Ilia Binder, University of Toronto11th Floor Lecture Hall
11:00 - 11:35On computational aspects of the Feigenbaum fixed point of the period doubling renormalization. - Artem Dudko, Stony Brook University11th Floor Lecture Hall
11:45 - 12:00Break  
12:00 - 12:35Computability and computational complexity in dynamical systems. - Cristóbal Rojas, Universidad Andrés Bello (Santiago)11th Floor Lecture Hall
12:45 - 3:00Break for Lunch / Free Time  
3:00 - 3:35Dynamic Signatures Generated by Regulatory Networks - Konstantin Mischaikow, Rutgers University11th Floor Lecture Hall
3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space 
4:15 - 4:50Conley Index Theory, Symbolic Dynamics, and Entropy - Sarah Day, College of William and Mary11th Floor Lecture Hall
Wednesday, April 6, 2016
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9:00 - 9:35Stochastic Arnold diffusion of deterministic systems - Vadim Kaloshin, University of Maryland11th Floor Lecture Hall
9:45 - 10:15Coffee/Tea Break11th Floor Collaborative Space 
10:15 - 10:50Transition 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 - 11:35On rigorous verification of the crossed mapping condition - Zin Arai, Hokkaido University11th Floor Lecture Hall
11:45 - 12:00Break  
12:00 - 12:35On 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 - 1:00Group Photo in Lecture Hall11th Floor Lecture Hall 
1:00 - 3:00Break for Lunch / Free Time  
3:00 - 5:00Collaboration and Work Time  
3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space 
Thursday, April 7, 2016
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9:00 - 9:35Periodic solutions for some hyperbolic PDEs - Hans Koch, University of Texas at Austin11th Floor Lecture Hall
9:45 - 10:15Coffee/Tea Break11th Floor Collaborative Space 
10:15 - 10:50Rigorous estimation of the speed of convergence to equilibrium. - Stefano Galatolo, University of Pisa11th Floor Lecture Hall
11:00 - 11:35Introduction to the software package `Dynamics Explorer' for exploration of discrete dynamical systems - Suzanne Lynch Boyd, University of Wisconsin-Milwaukee11th Floor Lecture Hall
11:45 - 12:00Break  
12:00 - 12:35Sharp mixing rates via inducing w.r.t. general return times - Dalia Terhesiu, University of Vienna11th Floor Lecture Hall
12:45 - 3:00Break for Lunch / Free Time  
3:00 - 3:35Computer-assisted proofs for periodic orbits of PDEs - Jean-Philippe Lessard, Université Laval11th Floor Lecture Hall
3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space 
4:15 - 4:50Set-oriented computation in dynamics - Kathrin Padberg-Gehle, Technische Universität Dresden11th Floor Lecture Hall
Friday, April 8, 2016
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9:00 - 9:35Interval Analysis Methods for Elliptic Boundary Value Problems - Irina Mitrea, Temple University11th Floor Lecture Hall
9:45 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:05Rigorous 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 - 11:50Some practical and theoretical issues in computational ergodic theory - Isaia Nisoli, Federal University of Rio de Janeiro (UFRJ)11th Floor Lecture Hall 
12:00 - 12:15Break  
12:15 - 12:50Minkowski's question mark function and measure. - Giorgio Mantica, Universita' dell'Insubria11th Floor Lecture Hall 
1:00 - 3:00Break for Lunch / Free Time  
3:00 - 3:35Melnikov-type method for splitting of separatrices for an explicit range of small parameter - Piotr Zgliczynski, Jagiellonian University11th Floor Lecture Hall
3:45 - 4:15Coffee/Tea Break11th Floor Collaborative Space 
4:15 - 4:50Rigorous integration of dissipative PDEs revisited- chaos in the Kuramoto-Sivashinsky equations. - Daniel Wilczak, Jagiellonian University11th Floor Lecture Hall
Monday, April 11, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, April 12, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 13, 2016
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9:30 - 10:30Professional Development - Grant Proposals11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, April 14, 2016
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Friday, April 15, 2016
TimeEventLocationMaterials
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Monday, April 18, 2016
TimeEventLocationMaterials
12:00 - 1:00Python Boot Camp (Not open to the public) - Royal Wang, Brown University10th Floor Seminar Room 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, April 19, 2016
TimeEventLocationMaterials
2:30 - 3:15Topological Entropy of Maps with Low Smoothness - Peter Hazard, Uppsala University11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 20, 2016
TimeEventLocationMaterials
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, April 21, 2016
TimeEventLocationMaterials
2:30 - 3:15V-variable Fractals - Örjan Stenflo, Uppsala University11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Friday, April 22, 2016
TimeEventLocationMaterials
12:00 - 1:00Python Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
1:00 - 1:15Break11th Floor Collaborative Space 
1:15 - 2:15Python Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Monday, April 25, 2016
TimeEventLocationMaterials
12:00 - 1:00Python Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, April 26, 2016
TimeEventLocationMaterials
2:30 - 3:15A smooth perturbation of Furstenberg's theorem on times-m invariant sets - Michael Hochman, The Hebrew University of Jerusalem11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, April 27, 2016
TimeEventLocationMaterials
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, April 28, 2016
TimeEventLocationMaterials
12:00 - 1:00Python Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
2:30 - 3:15Hausdorff dimension for some hyperbolic attractors with overlaps. - Karoly Simon, Budapest University of Technology and Economics11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Friday, April 29, 2016
TimeEventLocationMaterials
12:00 - 1:00Python Boot Camp (Not open to the public) - Royal Wang, Brown University11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Monday, May 2, 2016
TimeEventLocationMaterials
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Tuesday, May 3, 2016
TimeEventLocationMaterials
2:30 - 3:15Zeros of the Selberg zeta function for non-compact surfaces - Polina Vytnova (QM-UL and ICERM)11th Floor Lecture Hall 
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, May 4, 2016
TimeEventLocationMaterials
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Thursday, May 5, 2016
TimeEventLocationMaterials
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
Friday, May 6, 2016
TimeEventLocationMaterials
3:30 - 4:00Coffee/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
Computation in Dynamics Image
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
Universidad Torcuato Di Tella
February 10, 2016
Dimension and Dynamics
Play

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

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