INTERNATIONAL WORKSHOP ON
GLOBAL DYNAMICS BEYOND UNIFORM HYPERBOLICITY
August 10-21, 2009, Beijing,China
Program
Sponsors
BeijingInternationalCenterfor Mathematical Research
Mathematical Center of Ministry of Education
National Natural Science Foundation of China
School of Mathematical Sciences, PekingUniversity
General InformationMeals: / Breakfast: / 07:00-08:30 / ShaoyuanBuilding #2 (Aug 10-21)
Lunch: / 12:00-13:30 / ShaoyuanBuilding #2 (Aug 10-12)
Yiyuan (Aug 13-21)
Dinner: / 18:00-19:30 / ShaoyuanBuilding #2 (Aug 10-12)
Yiyuan (Aug 14-21)
Banquet: / Aug 13 / 18:10-20:00 / Quan Ju De
Tour: / Aug 16 / 08:30-18:00 / Shaoyuan Building #2 → Great Wall
To use internet in the campus, first visit Use
User ID: / wdq20090805001
Password: / 20090810
and then click the first "Sign in" button on the right of the page.
All scientific activities will be held at Science Building 113 of Peking University
In case of need, please call
Shaobo / GAN / at 13691300161
Wenxiang / SUN / at 15711088323
Monday, August 10, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Welcoming Ceremony and Group Photo
10:00-10:50 / Essential hyperbolicity versus homoclinic bifurcations (1)slides
S. Crovisier, Université Paris 13 and CNRS, France
E. Pujals, IMPA, Brazil
10:50-11:10 / Break
11:10-12:00 / Dynamics of SL(2,R)-Cocycles and Applications to Spectral Theory (1)slides
D. Damanik, Rice University, USA
12:00-13:30 / Lunch, Dining Hall of ShaoyuanBuilding #2
Chair / Zhifen Zhang (PekingUniversity)
13:40-14:30 / KAM and rigidity in partially hyperbolic and parabolic dynamics
A. Katok, Penn State University, USA
14:40-15:30 / Almost Reducibility and Non-perturbative Reducibility of Quasi-Periodic Linear Systems
J. You, Nanjing University, China
15:30-15:50 / Break
15:50-16:40 / Decay of correlations for some nonuniformly expanding maps
H. Hu, Michigan State University, USA
16:50-17:40 / Geometric Gibbs Theory and Teichmuller Structures
Y. Jiang, City University of New York, USA
18:00-19:30 / Dinner, Dining Hall of ShaoyuanBuilding #2
Tuesday, August 11, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Lorenz like attractors (1)slides
M. J. Pacifico, Universidade Federal do Rio de Janeiro, Brazil
10:00-10:50 / Essential hyperbolicity versus homoclinic bifurcations (2)slides
S. Crovisier, Université Paris 13 and CNRS, France
E. Pujals, IMPA, Brazil
10:50-11:10 / Break
11:10-12:00 / Dynamics of SL(2,R)-Cocycles and Applications to Spectral Theory (2)slides
D. Damanik, Rice University, USA
12:00-13:30 / Lunch, Dining Hall of ShaoyuanBuilding #2
Chair / Tongren Ding (PekingUniversity)
13:40-14:30 / Symbolic dynamics and direct graph with length
Z. Xia, Northwestern University, USA
14:40-15:30 / Symbolic extensions for partially hyperbolic diffeomorphisms
T. Fisher, Brigham Young University, USA
15:30-15:50 / Break
15:50-16:40 / The ergodic properties of the map with the first tangencey in the Henon family
Y. Cao, Suzhou University, China
16:50-17:40 / Mixing for flows and skew-extensions
M. Field, University of Houston, USA
18:00-19:30 / Dinner, Dining Hall of ShaoyuanBuilding #2
Wednesday, August 12, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Lorenz like attractors (2)slides
M. J. Pacifico, Universidade Federal do Rio de Janeiro, Brazil
10:00-10:50 / Essential hyperbolicity versus homoclinic bifurcations (3)slides
S. Crovisier, Université Paris 13 and CNRS, France
E. Pujals, IMPA, Brazil
10:50-11:10 / Break
11:10-12:00 / Dynamics of SL(2,R)-Cocycles and Applications to Spectral Theory (3)slides
D. Damanik, Rice University, USA
12:00-13:30 / Lunch, Dining Hall of ShaoyuanBuilding #2
Chair / Anatole Katok (PennStateUniversity)
13:40-14:30 / Convergence to Brownian motion and Lévy processes in nonuniformly hyperbolic systems
I. Melbourne, University of Surrey, UK
14:40-15:30 / Transitivity of Euclidean-type extensions of hyperbolic systems
A Török, University of Houston, USA
15:30-15:50 / Break
15:50-16:40 / On finiteness of the number of coexisting sinks in Newhouse domains
V. Kaloshin, Penn State University, USA
16:50-17:40 / On dynamical properties of the trace map
A. Gorodetski, University of California, USA
18:00-19:30 / Dinner, Dining Hall of ShaoyuanBuilding #2
Thursday, August 13, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Lorenz like attractors (3)slides
M. J. Pacifico, Universidade Federal do Rio de Janeiro, Brazil
10:00-10:50 / Essential hyperbolicity versus homoclinic bifurcations (4)slides
S. Crovisier, Université Paris 13 and CNRS, France
E. Pujals, IMPA, Brazil
10:50-11:10 / Break
11:10-12:00 / Dynamics of SL(2,R)-Cocycles and Applications to Spectral Theory (4)slides
D. Damanik, Rice University, USA
12:00-13:30 / Lunch, Yiyuan
Chair / Michael Field (University of Houston)
13:40-14:30 / Towards a theory on independence in dynamics
X. Ye, University of Science and Technology of China, China
14:40-15:30 / Almost Periodically Forced Circle Flows
Y. Yi, Georgia Institute of Technology and Jilin University, USA
15:30-15:50 / Break
15:50-16:40 / Shadowable Chain Transitive Sets and Specific Sets of C1-Generic Diffeomorphisms
K. Lee, Chungnam National University, Korea
16:50-17:40 / Shadowing in smooth flows - some results and problems
S. Pilyugin, St.Petersburg State University, Russia (joint work with S. Tikhomirov)
18:00-19:30 / Dinner, Banquet
Friday, August 14, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Lorenz like attractors (4)slides
M. J. Pacifico, Universidade Federal do Rio de Janeiro, Brazil
10:00-10:50 / Essential hyperbolicity versus homoclinic bifurcations (5)slides
S. Crovisier, Université Paris 13 and CNRS, France
E. Pujals, IMPA, Brazil
10:50-11:10 / Break
11:10-12:00 / Limit theorems for hyperbolic systems (1)lecture
D. Dolgopyat, University of Maryland, USA
C. Liverani, Universita' di Roma "Tor Vergata", Italy
12:00-13:30 / Lunch, Yiyuan
Chair / Jincheng Xiong (SouthEastNormalUniversity)
13:40-14:30 / Ergodic theory of partially hyperbolic attractors whose central direction is mostly expanding
J. F. Alves, University of Porto, Portugal
14:40-15:30 / Ergodic measures for a family of partially hyperbolic diffeomorphisms
I. Rios, Universidade Federal Fluminense, Brazil
15:30-15:50 / Break
15:50-16:40 / Uniqueness of SRB measures for transitive diffeomorphisms of surfaces
M. A. Rodriguez Hertz, Universidad de la Republica, Uruguay
16:50-17:40 / Invariant tori with hyperbolic dynamics in 3-manifolds
R. Ures, Universidad de la Republica, Uruguay
18:00-19:30 / Dinner, Yiyuan
Saturday, August 15, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Group Actions on Surfaces (1)
J. Franks, Northwestern University, USA
10:00-10:50 / Essential hyperbolicity versus homoclinic bifurcations (6)slides
S. Crovisier, Université Paris 13 and CNRS, France
E. Pujals, IMPA, Brazil
10:50-11:10 / Break
11:10-12:00 / Limit theorems for hyperbolic systems (2)lecture
D. Dolgopyat, University of Maryland, USA
C. Liverani, Universita' di Roma "Tor Vergata", Italy
12:00-13:30 / Lunch, Yiyuan
Chair / Zuoling Zhou (SunYat-SenUniversity)
13:40-14:30 / Multiple closed geodesics on spheres
Y. Long, Nankai University, China
14:40-15:30 / Random products of matrices
M. Pollicott, Warwick University, UK
15:30-15:50 / Break
15:50-16:40 / Applications of algebraic K-theory to rigidity problems in dynamics
A. Katok, Penn State University, USA
16:50-17:40 / Multiplicity of brake orbits in bounded convex symmetric domains
C. Liu, Nankai University, China
17:40-18:05 / Stable ergodicity of dominated systems
M. Andersson, Ecole Normale Superieure, France
18:20-19:30 / Dinner, Yiyuan
Sunday, August 16, Tour to Greatwall
Monday, August 17, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Group Actions on Surfaces (2)
J. Franks, Northwestern University, USA
10:00-10:50 / On robust tangencies (1)
C. Bonatti, CNRS and Université de Bourgogne, France
10:50-11:10 / Break
11:10-12:00 / Limit theorems for hyperbolic systems (3)lecture
D. Dolgopyat, University of Maryland, USA
C. Liverani, Universita' di Roma "Tor Vergata", Italy
12:00-13:30 / Lunch, Yiyuan
Chair / Min Qian (PekingUniversity)
13:40-14:30 / Absolute continuity, exponents and rigidity
A. Wilkinson, Northwestern University, USA
14:40-15:30 / Geometric mechanisms for robust transitivity
F. Abdenur, PUC-Rio, Brazil
15:30-15:50 / Break
15:50-16:40 / Entropy production in dynamical systems
P. Liu, Peking University, China
16:50-17:40 / SRB measures and absolute continuity for 1D center
M. Viana, IMPA, Brazil
18:00-19:30 / Dinner, Yiyuan
Tuesday, August 18, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Group Actions on Surfaces (3)
J. Franks, Northwestern University, USA
10:00-10:50 / On robust tangencies (2)
C. Bonatti, CNRS and Université de Bourgogne, France
10:50-11:10 / Break
11:10-12:00 / Limit theorems for hyperbolic systems (4)
D. Dolgopyat, University of Maryland, USA
C. Liverani, Universita' di Roma "Tor Vergata", Italy
12:00-13:30 / Lunch, Yiyuan
Chair / Francois Ledrappier (University of Notre Dame)
13:40-14:30 / Chaotic behavior in nonautonomous equations without any time periodicity
K. Lu, Brigham Young University, USA
14:40-15:30 / On uniqueness and Bernoulli property of entropy maximizing measures for partially
hyperbolic systems
A. Tahzibi, University of Sao Paulo, Brazil
15:30-15:50 / Break
15:50-16:15 / Thermodynamical formalism of expanding measures
P. Varandas, FederalUniversity of Bahia - UFBA, Brazil
16:15-16:40 / TBA
D. Yang, Jilin University, China
16:40-17:05 / Index problem of homoclinic classes under the robust absence of dominated splitting
K. Shinohara, University of Tokyo, Japan
17:15-18:05 / Against infinitely many elementary pieces of dynamics for partially hyperbolic systems
L. J. Diaz, PUC-Rio, Brazil
18:20-19:30 / Dinner, Yiyuan
Wednesday, August 19, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / Group Actions on Surfaces (4)
J. Franks, Northwestern University, USA
10:00-10:50 / On robust tangencies (3)
C. Bonatti, CNRS and Université de Bourgogne, France
10:50-11:10 / Break
11:10-12:00 / Limit theorems for hyperbolic systems (5)
D. Dolgopyat, University of Maryland, USA
C. Liverani, Universita' di Roma "Tor Vergata", Italy
12:00-13:30 / Lunch, Yiyuan
Chair / Sergei Yu. Pilyugin (St.PetersburgStateUniversity)
13:40-14:30 / Anisotropic Sobolev spaces adapted to piecewise hyperbolic dynamics
V. Baladi, Ecole Normale Supérieure and CNRS, France
14:40-15:30 / Rotation Numbers for Linear Schrödinger Equations with Almost Periodic Phase
Transmissions
M. Zhang, Tsinghua University, China
15:30-15:50 / Break
15:50-16:15 / Some aspects of Young towers for infinite measure preserving transformations
D. Terhesiu, Surrey University, UK
16:15-16:40 / Measures of intermediate entropies for skew products
P. Sun, Penn State University, USA
16:40-17:05 / Uniqueness of Equilibrium states and relative pressure
K. Oliveira, Federal University of Alagogs, Brazil
17:15-18:05 / Pesin set, closing lemma and shadowing lemma in C1 nonuniformly hyperbolic systems with
limit domination
W. Sun, Peking University, China
18:20-19:30 / Dinner, Yiyuan
Thursday, August 20, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-10:50 / On robust tangencies (4,5)
C. Bonatti, CNRS and Université de Bourgogne, France
10:50-11:10 / Break
11:10-12:00 / Limit theorems for hyperbolic systems (6)
D. Dolgopyat, University of Maryland, USA
C. Liverani, Universita' di Roma "Tor Vergata", Italy
12:00-13:30 / Lunch, Yiyuan
Chair / Chengzhi Li (PekingUniversity)
13:40-14:30 / TBA
B. Liu, Peking University, China
14:40-15:30 / On C1-class local diffeomorphisms whose periodic points are nonuniformly expanding
X. Dai, Nanjing University, China
15:30-15:50 / Break
15:50-16:15 / Leaf conjugacies on the torus
A. Hammerlindl, University of Toronto, Canada
16:15-16:40 / TBA
N. Gourmelon, University of Bordeaux I, France
16:40-17:05 / TBA
J. Santamaria, IMPA, Brazil
17:15-18:05 / Singular Cycles and Ck-Robust Transitive set on Manifold with Boundary
B. San Martín, Católica del Norte, Chile
18:20-19:30 / Dinner, Yiyuan
Friday, August 21, ScienceBuilding 113
07:00-08:30 / Breakfast, Dining Hall of ShaoyuanBuilding #2
09:00-09:50 / On robust tangencies (6)
C. Bonatti, CNRS and Université de Bourgogne, France
10:00-10:50 / Some simple questions related to the Cr stability conjecture
E. Pujals, IMPA, Brazil
10:50-11:10 / Break
11:10-12:00 / Entropic stability of some robustly transitive diffeomorphisms
J. Buzzi, CNRS and Universite Paris Sud, France
12:00-13:30 / Lunch, Yiyuan
Chair / Lan Wen (PekingUniversity)
13:40-14:30 / Linear drift on cover of compact manifolds
F. Ledrappier, University of NotreDame, USA
14:40-15:30 / Lyapunov exponents in nonuniformly hyperbolic dynamics
K. Gelfert, IMPA, Brazil
15:30-15:50 / Break
15:50-16:15 / TBA
A. Arbieto, Federal University of Rio de Janeiro, Brazil
16:15-17:05
17:15-18:05 / Stable ergodicity for partially hyperbolic attractors with positive central Lyapunov exponents
C. Vasquez, Pontificia Universidad Catolica de Valparaiso, Chile
18:20-19:30 / Dinner, Yiyuan
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