ICERM Semester Program on "Dimension and Dynamics"
(February 1  May 6, 2016)
Introduction
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, computeraided 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 highquality 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 longstanding 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.
Organizing Committee
 Dmitry Dolgopyat
(University of Maryland)  Mike Hochman
(Hebrew University of Jerusalem)  Izabella Laba
(University of British Columbia)  Stefano Luzzatto
(ITCPTrieste)  Yakov Pesin
(Penn State University)  Mark Pollicott
(Warwick University)  Joerg Schmeling
(Lund University)  Boris Solomyak
(BarIlan University)  Warwick Tucker
(Uppsala University)
Associated Events & Information
Spring 2016 Semester Workshops
Dates  Title  Organizers 

February 1519, 2016  Ergodic, algebraic and combinatorial methods in dimension theory  Mike Hochman, Izabella Laba, Pablo Shmerkin, Barak Weiss 
March 711, 2016  Fractal Geometry, Hyperbolic Dynamics and Thermodynamical Formalism  Lorenzo Diaz, Dmitry Dolgopyat, Maarit Jarvenpaa, Joerg Schmeling, Masato Tsujii, Amie Wilkinson 
April 48, 2016  Computation in Dynamics  Denis Gaidashev, Stefano Galatolo, Stefano Luzzatto, Warwick Tucker, Michael Yampolsky 
This page will show upcoming seminars that will be scheduled by organizers, speakers, and participants of the Spring 2016 semester program. Walkins are welcomed and encouraged for these seminars. Please check back regularly for updates.
We provide an iCal link for those attendees who wish to sync their own devices and/or calendars to our schedule.
Monday  February 1, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
9:00  4:00  Dimension and Dynamics CheckIn  121 South Main Street (11th Floor)  
4:15  5:00  Informal Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday  February 2, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
9:30  10:00  ICERM Director Welcome  Jill Pipher, ICERM Director  11th Floor Lecture Hall  
10:00  10:45  Brief Organizer Introductions and Broad Program Overview  Michael Hochman (Hebrew University of Jerusalem), Izabella Laba (University of British Columbia), Boris Solomyak (BarIlan University), Yakov Pesin (Penn State University)  11th Floor Lecture Hall  
10:45  11:15  Coffee/Tea Break  11th Floor Collaborative Space  
11:15  11:20  5minute Graduate student introductions  Laura Cladek, University of Wisconsin  Madison  11th Floor Lecture Hall  
11:20  11:25  5minute Graduate student introductions  Natalia Jurga, University of Warwick  11th Floor Lecture Hall  
11:25  11:30  5minute Graduate student introductions  Roland Molontay, Budapest University  11th Floor Lecture Hall  
11:30  11:35  5minute Graduate student introductions  Erez Nesharim, Tel Aviv University  11th Floor Lecture Hall  
11:35  11:40  5minute Graduate student introductions  Vuksan Mijovic, University of St Andrews  11th Floor Lecture Hall  
11:40  11:45  5minute Graduate student introductions  Sasha Troscheit, University of St. Andrews  11th Floor Lecture Hall  
11:45  11:50  5minute Graduate student introductions  John Yang, University of Toronto  11th Floor Lecture Hall  
11:50  11:55  5minute Graduate student introductions  Agnieszka Zelerowicz, Penn State University  11th Floor Lecture Hall  
12:00  2:30  Lunch and Free Time  
2:30  2:40  10minute Postdoc introductions  Marta Canadell, ICERM Institute Postdoc  11th Floor Lecture Hall  
2:40  2:50  10minute Postdoc introductions  Nishant Chandgotia, ICERM Semester Postdoc  11th Floor Lecture Hall  
2:50  3:00  10minute Postdoc introductions  Abel Farkas, ICERM Semester Postdoc  11th Floor Lecture Hall  
3:00  3:10  10minute Postdoc introductions  Peter Hazard, University of Toronto  11th Floor Lecture Hall  
3:10  3:20  10minute Postdoc introductions  Zhiqiang Li, ICERM Semester Postdoc  11th Floor Lecture Hall  
3:30  4:30  Coffee/Tea Break and Free Time  
4:30  6:30  Welcome Reception  11th Floor Collaborative Space 
Wednesday  February 3, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday  February 4, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
11:00  11:30  IT Tutorial  Brian Lavall, ICERM Technical Support Coordinator  11th Floor Lecture Hall  
2:00  3:15  An example of renormalization in dynamics: rotational attractions of 2D maps.  Michael Yampolsky, University of Toronto  
3:15  3:30  Coffee/Tea Break  11th Floor Collaborative Space  
3:30  4:15  Subadditive topological pressure for nonconformal repeller and it's continuity  Yongluo Cao, Suzhou University  11th Floor Lecture Hall 
Friday  February 5, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday  February 9, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
1:00  2:00  Graduate Student/Postdoc Lunch  11th Floor Conference Room  
3:30  4:00  Coffee/Tea Break  11th Floor Lecture Hall 
Wednesday  February 10, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
11:00  11:45  Minicourse: A class of random Cantor measures, with applications  Pablo Shmerkin, Torcuato Di Tella University  11th Floor Lecture Hall  
11:45  12:15  Coffee/Tea Break  11th Floor Collaborative Space  
12:15  1:00  Minicourse: A class of random Cantor measures, with applications  Pablo Shmerkin, Torcuato Di Tella University  11th Floor Lecture Hall  
1:15  3:30  Break for Lunch/Free Time  
3:30  4:10  Minicourse: Schmidt games and fractals in dynamics and number theory  Barak Weiss, Tel Aviv University  11th Floor Lecture Hall  
4:15  4:45  Coffee/Tea Break  11th Floor Collaborative Space  
4:45  5:30  Minicourse: Schmidt games and fractals in dynamics and number theory  Barak Weiss, Tel Aviv University  11th Floor Lecture Hall 
Thursday  February 11, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
11:00  11:45  Minicourse: Schmidt games and fractals in dynamics and number theory  Dmitry Kleinbock, Brandeis University  11th Floor Lecture Hall  
11:45  12:15  Coffee/Tea Break  11th Floor Collaborative Space  
12:15  1:00  Minicourse: Schmidt games and fractals in dynamics and number theory  Dmitry Kleinbock, Brandeis University  11th Floor Lecture Hall  
1:15  3:30  Break for Lunch/Free Time  
3:30  4:15  Minicourse: Equidistribution and dimension via additive combinatorics  Elon Lindenstrauss, The Hebrew University of Jerusalem  11th Floor Lecture Hall  
4:15  4:45  Coffee/Tea Break  11th Floor Collaborative Space  
4:45  5:30  Minicourse: Equidistribution and dimension via additive combinatorics  Elon Lindenstrauss, The Hebrew University of Jerusalem  11th Floor Lecture Hall  
5:30  6:30  Light Reception  11th Floor Collaborative Space 
Friday  February 12, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
11:00  11:45  Minicourse: A class of random Cantor measures, with applications  Pablo Shmerkin, Torcuato Di Tella University  11th Floor Lecture Hall  
11:45  12:15  Coffee/Tea Break  11th Floor Collaborative Space  
12:15  1:00  Minicourse: A class of random Cantor measures, with applications  Pablo Shmerkin, Torcuato Di Tella University  11th Floor Lecture Hall  
1:15  3:30  Break for Lunch/Free Time  
3:30  4:15  Minicourse: Equidistribution and dimension via additive combinatorics  Elon Lindenstrauss, The Hebrew University of Jerusalem  11th Floor Lecture Hall  
4:15  4:45  Coffee/Tea Break  11th Floor Collaborative Space  
4:45  5:30  Minicourse: Equidistribution and dimension via additive combinatorics  Elon Lindenstrauss, The Hebrew University of Jerusalem  11th Floor Lecture Hall 
Monday  February 22, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break 
Tuesday  February 23, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
2:00  2:45  Nonhyperbolic skew products: an axiomatic approach  Katrin Gelfert, Universidade Federal do Rio de Janerio  11th Floor Lecture Hall  
3:00  3:30  Coffee/Tea Break  
3:30  4:15  Ergodicity and partial hyperbolicity on unit tangent bundles of surfaces I  Jana Rodriguez Hertz, IMERL  11th Floor Lecture Hall 
Wednesday  February 24, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
9:30  10:30  Professional Development  Ethics in Research I  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break 
Thursday  February 25, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
2:00  2:45  Nonhyperbolic skew products: ergodic approximations and exposed pieces  Katrin Gelfert, Universidade Federal do Rio de Janerio  11th Floor Lecture Hall  
3:00  3:30  Coffee/Tea Break  
3:30  4:15  Ergodicity and partial hyperbolicity on unit tangent bundles of surfaces II  Raul Ures, IMERL 
Friday  February 26, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
2:00  2:45  Thermodynamic formalism in onedimensional dynamics  Mike Todd, University of St. Andrews  11th Floor Lecture Hall  
3:00  3:30  Coffee/Tea Break  
3:30  4:15  Thermodynamic formalism in onedimensional dynamics  Mike Todd, University of St. Andrews  11th Floor Lecture Hall 
Monday  February 29, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
2:00  2:45  Thermodynamic formalism in onedimensional dynamics  Mike Todd, University of St. Andrews  11th Floor Lecture Hall  
3:00  3:30  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday  March 1, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Monday  March 14, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
2:00  2:30  Pi Day Coffee/Tea Break 
Tuesday  March 15, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
1:15  2:15  PD and Grad Student Lunch Checkin  Food will be served  ICERM Conference Room  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday  March 16, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
9:30  10:30  Professional Development  Job applications in academia  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Friday  March 18, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Monday  March 21, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday  March 23, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
9:30  10:30  Professional Development  Hiring Process  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Friday  March 25, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Monday  March 28, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday  March 29, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday  March 30, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Friday  April 1, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
1:30  3:30  Part 3. Computeraided proofs.  Warwick Tucker, Uppsala University  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Monday  April 11, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Tuesday  April 12, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday  April 13, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
9:30  10:30  Professional Development  Grant Proposals  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday  April 14, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Friday  April 15, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Monday  April 18, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
12:00  1:00  Python Boot Camp (Not open to the public)  Royal Wang, Brown University  10th Floor Seminar Room  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday  April 20, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday  April 21, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
2:30  3:15  Vvariable Fractals  Örjan Stenflo, Uppsala University  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Friday  April 22, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
12:00  1:00  Python Boot Camp (Not open to the public)  Royal Wang, Brown University  11th Floor Lecture Hall  
1:00  1:15  Break  11th Floor Collaborative Space  
1:15  2:15  Python Boot Camp (Not open to the public)  Royal Wang, Brown University  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Monday  April 25, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
12:00  1:00  Python Boot Camp (Not open to the public)  Royal Wang, Brown University  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday  April 27, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Friday  April 29, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
12:00  1:00  Python Boot Camp (Not open to the public)  Royal Wang, Brown University  11th Floor Lecture Hall  
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Monday  May 2, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Wednesday  May 4, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Thursday  May 5, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 
Friday  May 6, 2016  

Time  Description  Speaker  Location  Abstracts  Slides 
3:30  4:00  Coffee/Tea Break  11th Floor Collaborative Space 

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Schedule For MiniCourses:
Wednesday, February 10th
11:00  11:45  Minicourse: A class of random Cantor measures, with applications  Pablo Shmerkin, Universidad Torcuato Di Tella  11th Floor Lecture Hall 
11:45  12:15  Coffee Break  11th Floor Collaborative Space  
12:15  1:00  Minicourse: A class of random Cantor measures, with applications  Pablo Shmerkin, Universidad Torcuato Di Tella  11th Floor Lecture Hall 
1:15  3:30  Break for Lunch  
3:30  4:15  Minicourse: Schmidt games and fractals in dynamics and number theory  Barak Weiss, Tel Aviv University  11th Floor Lecture Hall 
4:15  4:45  Coffee Break  11th Floor Collaborative Space  
4:45  5:30  Minicourse: Schmidt games and fractals in dynamics and number theory  Barak Weiss, Tel Aviv University  11th Floor Lecture Hall 
Thursday, February 11th
11:00  11:45  Minicourse: Schmidt games and fractals in dynamics and number theory  Dmitry Kleinbock, Brandeis University  11th Floor Lecture Hall 
11:45  12:15  Coffee Break  11th Floor Collaborative Space  
12:15  1:00  Minicourse: Schmidt games and fractals in dynamics and number theory  Dmitry Kleinbock, Brandeis University  11th Floor Lecture Hall 
1:15  3:30  Break for Lunch  
3:30  4:15  Minicourse: Equidistribution and dimension via additive combinatorics  Elon Lindenstrauss, The Hebrew University of Jerusalem  11th Floor Lecture Hall 
4:15  4:45  Coffee Break  11th Floor Collaborative Space  
4:45  5:30  Minicourse: Equidistribution and dimension via additive combinatorics  Elon Lindenstrauss, The Hebrew University of Jerusalem  11th Floor Lecture Hall 
5:30  6:30  Light Reception  11th Floor Collaborative Space 
Friday, February 12th
11:00  11:45  Minicourse: A class of random Cantor measures, with applications  Pablo Shmerkin, Universidad Torcuato Di Tella  11th Floor Lecture Hall 
11:45  12:15  Coffee Break  11th Floor Collaborative Space  
12:15  1:00  Minicourse: A class of random Cantor measures, with applications  Pablo Shmerkin, Universidad Torcuato Di Tella  11th Floor Lecture Hall 
1:15  3:30  Break for Lunch  
3:30  4:15  Minicourse: Equidistribution and dimension via additive combinatorics  Elon Lindenstrauss, The Hebrew University of Jerusalem  11th Floor Lecture Hall 
4:15  4:45  Coffee Break  11th Floor Collaborative Space  
4:45  5:30  Minicourse: Equidistribution and dimension via additive combinatorics  Elon Lindenstrauss, The Hebrew University of Jerusalem  11th Floor Lecture Hall 
Wednesday, March 2nd
2:00  2:45  Minicourse: Symbolic dynamics for hyperbolic systems  Yuri Lima, University of Paris  11th Floor Lecture Hall 
Coffee Break  11th Floor Collaborative Space  
3:30  4:15  Minicourse: Symbolic dynamics for hyperbolic systems  Yuri Lima, University of Paris  11th Floor Lecture Hall 
Thursday, March 3rd
2:00  2:45  Minicourse: Microlocal techniques for hyperbolic dynamics  Semyon Dyatlov, MIT  11th Floor Lecture Hall 
3:00  3:30  Coffee Break  11th Floor Collaborative Space  
3:30  4:15  Minicourse: Microlocal techniques for hyperbolic dynamics  Semyon Dyatlov, MIT  11th Floor Lecture Hall 
Friday, March 4th
1:30  2:15  Minicourse: Multifractal analysis, large deviations and Fourier transforms for countable branch expanding maps  Thomas Jordan, University of Bristol  11th Floor Lecture Hall 
2:30  3:00  Coffee Break  11th Floor Collaborative Space  
3:00  3:45  Minicourse: Multifractal analysis, large deviations and Fourier transforms for countable branch expanding maps  Thomas Jordan, University of Bristol  11th Floor Lecture Hall 