ESF-ICTP Conference
Dynamical Systems
4 - 8 June 2012
Final Programme |
The Abdus Salam International Centre for Theoretical Physics and the European Science Foundation are organizing a “School and Conference in Dynamical Systems” within the framework of the ICTP-ESF Series of High Level Conferences on Geometry and Dynamics, in Trieste, Italy.
The School will be held from 21 May to 1 June 2012.
The conference on Dynamical Systems will take place from 4 to 8 June 2012 and will invite some of the best experts in the field as well as brillant young researchers. They will provide the participants with some of the most recent and most interesting perspectives for future research.
Main topics:
- Chaotic dynamics: homoclinic bifurcations, attractors, generic systems, partial hyperbolicity and dominated splitting, Lorenz attractors.
- Conservative dynamics: KAM and Aubry-Mather theories, diffusion in Hamiltonian systems, billiards, infinite dimensional systems, celestial mechanics.
- Ergodic Theory: Sinai-Ruelle-Bowen measures, stochastic stability, Lyapunov exponents, linear cocycles, spectral theory of Schrodinger operators, recurrence and applications to Number Theory.
- Geometric, algebraic, and topological aspects of Dynamics: smooth group actions, knots and braids, commutators.
- One-dimensional dynamics: density of hyperbolicity, parametrized families of transformations, stochastic versus regular behavior.
The School (21 May - 1 June) will offer courses on the following topics:
- Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
Jean-Christophe Yoccoz (Collège de France)/Carlos Matheus (Paris Villetaneuse) - Dynamics of partially hyperbolic systems and rigidity
Federico Rodriguez-Hertz (Penn State)/Pablo Carrasco (IMPA) - Markov partitions for surface diffeomorphisms
Omri Sarig (Weizmann)/Krerley Oliveira (Maceió)
Monday 04 June 2012
(Room: Leonardo da Vinci Building, Lobby)
08:30 - 09:30 REGISTRATION OF THE CONFERENCE PARTICIPANTS ---
09:30 - 10:15 S. Crovisier, Université Paris 13, Villetaneuse, France
Newhouse phenomenon and uniformity of extremal bundles
10:15 - 10:20 Break
10:20 - 10:45 S. Galatolo, Universita di Pisa, Pisa, Italy
A simple approach to rigorous approximation of invariant measures
10:45 - 11:15 Break
11:15 - 11:40 S. Hayashi, University of Tokyo, Tokyo, Japan
On the observability of periodic orbits for diffeomorphisms
11:40 - 11:45 Break
11:45 - 12:30 J. Rodriguez-Hertz, Universidad de la Republica, Montevideo, Uruguay
Partial hyperbolicity and tolopogy of 3-manifolds
12:30 - 14:30 Lunch break
14:30 - 15:15 L.H. Eliasson, Institut de Mathématiques de Jussieu, Paris, France
Analytic Diophantine Kam-Tori are never isolated
15:15 - 15:20 Break
15:20 - 15:45 G. Khimshiashvili, Ilia State University, Tbilisi, Georgia
Dynamical aspects of polygonal linkages
15:45 - 16:10 Break
16:10 - 16:55 A. Navas, Universidad de Santiago de Chile, Chile
On Zero Lyapunov exponents and conjugacy
16:55 - 17:00 Break
17:00 - 17:45 E. Pujals, IMPA, Rio de Janeiro, Brazil
Some simple questions and results related to the C^r stability conjecture
Tuesday 05 June 2012
Chairpersons:
Morning session: F. Przytycki
Afternoon session: J. Rodriguez-Hertz
09:30 - 10:15 A. Wilkinson, Northwestern University, Evanston IL, USA
The general case
10:15 - 10:20 Break
10:20 - 10:45 D. Gaidashev, University of Uppsala, Uppsala, Sweden
Renormalization for Lorenz maps
10:45 - 11:15 Break
11:15 - 11:40 T. Fisher, Birgham Young University, Provo Utah, USA
Equilibrium states for robustly transitive systems
11:40 - 11:45 Break
11:45 - 12:30 S. Marmi, Scuola Normale Superiore di Pisa, Pisa, Italy
Linearization of Roth-Type Interval Exchange Maps
12:30 - 14:30 Lunch break - Poster Session ---
14:30 - 15:15 M.J. Pacifico, UFRJ, Rio de Janeiro, Brazil
Decay of correlations for fiber contracting maps
15:15 - 15:20 Break
15:20 - 15:45 P. Hazard, University of Warwick, Coventry, UK
No full families for Hénon-like maps
15:45 - 16:10 Break
16:10 - 16:55 M. Yampolsky, University of Toronto, Toronto, Canada
The fixed point of parabolic renormalization
16:55 - 17:00 Break
17:00 - 17:45 Y. Pesin, Penn State, University Park, USA
Coexistence phenomena in dynamics
Wednesday 06 June 2012
09:00 - 09:45 M. Shishikura, Kyoto University, Kyoto, Japan
Jakobson's theorem via Yoccoz puzzles and the measure of stochastic parameters
09:45 - 09:50 Break
09:50 - 10:15 S. Gan, Peking University, Beijing, China
Star flows and singular hyperbolicity
10:15 - 10:45 Break
10:45 - 11:10 D. Sauzin, Scuola Normale Superiore di Pisa, Pisa, Italy
Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps joint work V. Baladi and S. Marmi
11:10 - 11:15 Break
11:15 - 11:40 P. Berger, LAGA, Paris - IMPA, Rio de Janeiro
Uniqueness of the maximal entropy measure and Hausdorff dimension of the exceptional set of Henon maps
11:40 - 11:45 Break
11:45 - 12:10 J. De Simoi, Università degli Studi di Roma Tor Vergata, Roma, Italy
Cyclicity one elliptic islands in the Standard family
12:10 - 12:15 Break
12:15 - 13:00 Rafael Potrie Altieri, Universidad de la Republica, Montevideo, Uruguay
Partial hyperbolicity and leaf conjugacy in small 3-manifolds
13:00 - 14:30 Lunch break
14:30 - 15:15 A. Tahzibi, USP - Sao Carlos, Brazil
Desintegration of Lebesgue measure and Lyapunov exponents for partially hyperbolic dynamics
15:15 - 15:20 Break
15:20 - 15:45 S. Slijepcevic, University of Zagreb, Zagreb, Croatia
TBA
15:45 - 16:10 Break
16:10 - 16:55 V. Baladi, Ecole Normale Superieure, Paris, France
On the Whitney-Holder regularity of the SRB measure in the quadratic family (joint with M. Benedicks and D. Schnellmann)
16:55 - 17:00 Break
17:00 - 17:45 C. Bonatti, Université de Bourgogne, Dijon, France
Building transitive and non transitive Anosov flows on 3 manifolds
Thursday, 07 June 2012
Chairpersons
Morning session: M. Shishikura
Afternoon session: M. Yampolsky
09:30 - 10:15 M. Lyubich, State Univ. of New York at Stony Brook, NY, USA
Feigenbaum Julia sets of positive area
10:15 - 10:20 Break
10:20 - 10:45 S. Kiriki, Kyoto University of Education, Kyoto, Japan
$C^{2}$-robust heterodimensional tangencies
10:45 - 11:15 Break
11:15 - 11:40 P. Toth, Budapest University of Technology, Budapest, Hungary
Typicality of finite complexity for the singularity set in planar dispersing billiards
11:40 - 11:45 Break
11:45 - 12:30 A. Verjovsky, UNAM, Cuernavaca, Mexico
Wild spheres as limit sets of conformal Kleinian groups
12:30 - 14:30 Lunch break
14:30 - 14:55 H. Vilarinho, University of Beira Interior, Covilha, Portugal
Strong stochastic stability for non-uniformly expanding maps
14:55 - 15:00 Break
15:00 - 15:45 D. Turaev, Imperial College, London, UK
Arnold diffusion in a priori chaotic systems
Friday, 08 June 2012
09:30 - 10:15 M. Tsujii, Kyushu University, Kyushu, Japan
Prequantum Anosov map
10:15 - 10:20 Break
10:20 - 10:45 D. Terhesiu, Universita di Roma Tor Vergata, Roma, Italy
Sharp mixing rates for infinite measure preserving systems
10:45 - 10:50 Break
10:50 - 11:15 S. Stenlund, University of Helsinki, Helsinki, Finland
Sinai billiards with moving scatterers
11:15 - 11:45 Break
11:45 - 12:10 Y.M. Chung, Hiroshima University, Higashi Hiroshima, Japan
Multifractal formalism for Benedicks-Carleson quadratic maps
12:10 - 12:15 Break
12:15 - 13:00 J. Rivera-Letelier, PUC, Santiago, Chile
Low-temperature phase transitions in the quadratic family
Partnership
This conference is part of a Series of High-Level Conferences on
Geometry and Dynamics and it is organised by the European Science Foundation (ESF) in partnership with the Abdus Salam International Centre for Theoretical Physics.
