2016/07/27-2016/08/02

**Statistical
Properties of Nonequilibrium Dynamical Systems**

**July
27 – August 2, 2016**

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**Conference
Schedule**

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**Wednesday,
July 27**

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8:00 – 8:30 a.m. Check-in and Registration

8:30 – 9:00 a.m. Welcoming Remarks

9:00 – 9:50 a.m. Leonid Bunimovich, Georgia Tech

*When and where orbits of extremely chaotic systems prefer to go*

9:55 – 10:45 a.m. Mark Pollicott, University of Warwick

*Asymptotic escape rates for one-dimensional maps*

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10:45 – 11:15 a.m. Break

11:15 –
12:05 p.m. Federico Rodriguez-Hertz,
Penn State, *Measure and smooth rigidity of *

* higher
rank actions.*

12:05 – 2:00 p.m. Lunch

2:00 – 2:40 p.m. Yunping Jiang, Queen’s College, CUNY

*Ruelle’s
Transfer Operators and Decay of Correlations for Uniformly and *

*Non-Uniformly
Expanding Dynamical Systems*

2:55 – 3:35 p.m. Nicolai Haydn, University of Southern California

*Entry and Return Times for Bowen Balls*

3:35 – 4:00 pm Break

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4:00 – 4:40
p.m. Marco Lenci, Universita di Bologna, *Uniformly expanding Markov *

* maps of the real line: exactness and infinite
mixing*

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4:45 – 5:25 p.m. Raul Ures, Universidad de la Republica
– Uruguay & Southern
University of Science and Technology, *Ergodicity and partial hyperbolicity on unit tangent bundles of
surfaces*

Remark: Conference room is Teaching Building #1, Room 107;

Parallel Section I is Teaching Building #1, Room 107; Section II is Room 110

Dining Hall is located at Guest House # 1, first floor.

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**Thursday, July 28**

8:20 – 9:10 a.m. Dmitry Dolgopyat, University of Maryland

*Limit Theorems for Random Walk in Random Environment on a strip*

9:20 – 10:10 a.m. Jean-Pierre Conze, University of Rennes

*Limit theorems for multi-dimensional actions
on some algebraic models*

10:10-10:35 am Break

10:35 – 11:15 a.m. Richard Sharp, University of Warwick

*Fluctuation theorems with shrinking intervals*

11:20 – 12:00 p.m. Peter Balint, Budapest University of Technology,

*Mean field coupling of doubling maps*

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12:00– 2:00 p.m. Lunch

2:00 – 6:00 p.m. Parallel Session I

2:00 – 2:45 p.m. Paul Jung, University of Alabama at Birmingham

*A
Stable Limit Theorem for Billiards with Cusps*

2:50 –3:35 p.m Mark Demers, Fairfield University

*Exponential decay of correlations for Sinai billiard flows*

3:35 – 4:05 p.m. Break

4:05 – 4:40 p.m Peter Nandori, University of Maryland

*Toward the rare interaction limit of some hard ball systems*

4:45 – 5:20 p.m Christopher Cox, Washington University in St. Louis

*On the Ergodicity of Umbrella and No-slip Billiards.*

5:25 – 6:00 p.m. Fan Yang, UFRJ/IMPA

*Decay of correlation for DA maps with measure of maximum entropy*

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2:00 – 6:10 p.m. Parallel Session II

2:00 – 2:45 p.m. Cecilia Gonzalez-Tokman, University of Queensland

*Non-autonomous dynamical systems and multiplicative ergodic *

* theorems*

2:50 – 3:35 p.m Michele Gianfelice, University of Calabria, *Some results on the *

* asymptotic behaviour of finite** **connection *probabilities* in percolation *

* and
related models*

4:05 – 4:40 p.m Pengfei Zhang, University of Mississippi

*Homoclinic Intersections for Geodesic Flows on Convex Spheres*

4:45 – 5:20 p.m Dmitry Todorov, University of Aix-Marseille

*Random averaging*

5:25 – 6:00 p.m. Xiao Wen, BeiHang University，TBA

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**Friday, July 29**

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8:10 – 9:00 a.m. Lan Wen, Peking University

*A review on the stability and density
problems*

9:05 – 9:55 a.m. Carlangelo Liverani, University of Rome

*Fast-Slow partially hyperbolic systems*

9:55 – 10:20 am Break

10:20 – 11:10 a.m. Sandro Vaienti, University of Toulon and CPT Marseille

*A few limit theorems for non-autonomous
dynamical systems*

11:15 – 12:05 p.m. Konstantin Khanin, University of Toronto

*On
global solutions to the parabolic Anderson model*

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12:05– 2:00 p.m. Lunch

2:00 – 2:50 p.m. Yiming Long, Nankai University

*Periodic solutions of the generalized
anisotropic Lennard-Jones systems in R^n*

2:55 – 3:45 p.m. Keith Burns, Northwestern University

*Unique equilibrium states for geodesic flows in nonpositive curvature*

3:45 – 4:15 p.m. Break

4:15 – 5:05 p.m. Zhihong Jeff Xia, Northwestern University & Southern University of

Science and Technology;
Bifurcation* and stability using Conley – *

*Zehnder index.*

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5:10 ---- Group photo

6:00 ---- Banquet in honor of Prof Lan Wen;

Prof. Keith Burns; Prof. Konstantin Khanin;

Prof. Carlangelo Liverani; Prof. Sandro Vaienti, for their birthdays.

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**Saturday, July 30**

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8:30 – 9:10 a.m. Federico Bonetto, Georgia Tech,TBA

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9:15 – 9:55 a.m. Gary Froyland, University of New South Wales

*Transfer operator co-cycle analysis of non-autonomous dynamical*

*Systems*

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9:55 – 10:25 a.m. Break

10:25 – 11:05 a.m. Carlos Vasquez, Pontificia Universidad Católica de Valparaiso

*On the non-robustness of intermingled basins*

11:10 – 11:50 a.m. Parallel Session I

11:10 – 11:50 a.m. Yanxia Deng, Queen’s University

*Stability of periodic orbits by Conley-Zehnder index theory*

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11:10 – 11:50 a.m. Parallel Session II

11:10 – 11:50 a.m. Xueting Tian, Fudan University, Specification* in Dynamical Systems *

* with certain
Hyperbolicity and Applications*

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**Monday, August 1**

8:10 – 9:00 a.m. Amie Wilkinson, University of Chicago, TBA

9:05 – 9:55 a.m. Xiangdong Ye, University of Science and Technology of China

*Around the pointwise convergence of multiple ergodic
averages*

9:55 – 10:20 a.m. Break

10:20 – 11:10 a.m. Renato Feres, Washington University in St. Louis

*Geometry
and dynamics of no-slip billiards*

11:15 – 12:05 a.m. Ian Melbourne, University of Warwick

*The
Lorenz attractor is exponentially mixing*

12:05 – 2:00 p.m. Lunch

2:00 – 6:05 p.m Parallel Session I

2:00 –2:40 p.m Benjamin Webb, Bringham Young University, *Self-Limiting Motion of *

* a Particle Moving
Deterministically in Random* *Media*

2:45 – 3:25 p.m. Yao Li, University of Massachusetts, Amherst

*Polynomial
convergence to nonequilibrium steady-state*

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3:25 - 3:55 Break

3:55 – 4:35 p.m. Alex Grigo, University of Oklahoma

*Applications of billiard-like systems*

4:40 – 5:20 p.m. Maria Fatima Correia, Universidade de Évora, *Ergodicity and periodic orbits of
a two-parameter family of* *billiards*

5:25 – 6: 05 Jianyu Chen, University of Massachusetts, Amherst

* Statistical Properties of One-dimensional Expanding Maps with Poor Singularities*

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2:00 – 6:05 p.m. Parallel Session II

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2:00 – 2:40 p.m.* *Ke
Zhang, University of Toronto

*Random Hamiltonian systems and Hamilton-Jacobi equations*

2:45 – 3:25 p.m. Dawei Yang, Soochow University

* SRB
measures for singular hyperbolic attractors*

3:55 – 4:35p.m. Radu
Saghin, Pontificia Universidad Catolica de Valparaiso, *Invariant
measures for cherry flows**
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* *4:40 – 5:20 p.m. * *Davor
Dragicevic, University of New South Wales, *Hölder continuity of *

* Oseledets
splitting for semi-invertiblle operator cocycles**
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**Tuesday,
August 2**

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8:10 –
9:00 a.m. Christopher Bose, University of
Victoria, Canada, *Exact mixing *

* asymptotics
and limit laws for random intermittent maps*

9:05 – 9:55 a.m. Weinian Zhang, Sichuan University

*Roughness of Tempered Exponential Dichotomies*

9:55 – 10:25 a.m. Break

10:25 – 11:15 a.m. Dan Thompson, Ohio State University

*Uniqueness of equilibrium states for geodesic flows*

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11:15 – 12:05 p.m. Wael Bahsoun, Loughborough University

*Linear response for non-uniformly expanding maps *

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