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lecture

Cosponsor(s):

European Science Foundation, PRONEX - Dynamical Systems/CNPq, DynEurBraz, Scuola Normale Superiore di Pisa

Start Time:

21 May 2012 at 08:30

Ends On:

8 June 2012

Location:

Trieste - Italy

Venue:

LB (Main Lecture Hall)

Organizer(s):

Organisers: S. Luzzatto (ICTP), M. Viana, J-C Yoccoz

Description:

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.

Material:

Monday, 21 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
11:15
REGISTRATION AND ADMINISTRATIVE FORMALITIES
02h45'
Room: Leonardo da Vinci Building, Lobby
11:15
11:40
Opening
25'
11:40
11:45
Break
05'
11:45
12:30
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
J.-C. Yoccoz
College de France, Paris, France
12:30
14:30
Lunch break
02h00'
14:30
15:15
Dynamics of partially hyperbolic systems and rigidity
45'
P. Carrasco
IMPA, Rio de Janeiro, Brazil
15:15
16:15
Break
01h00'
16:15
16:40
Interval Translation Maps of three intervals
25'
Denis Volk
SISSA, Trieste& IITP, Moscow
16:40
16:45
Break
05'
16:45
17:30
Statistical stability of Lorenz attractors
45'
J.F. Alves
Universidade do Porto, Porto, Portugal
Tuesday, 22 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
J.-C. Yoccoz
College de France, Paris, France
10:15
10:20
Break
05'
10:20
10:45
Central Shadowing and partial hyperbolicity
25'
S. Tikhomirov
Free University of Berlin, Germany
10:45
11:15
Break
30'
11:15
11:40
Pseudo-integrable billiards and arithmetic dynamics
25'
M. Radnovic
Mathematical Institute Sanu, Belgrade, Serbia
11:40
11:45
Break
05'
11:45
12:30
Markov partitions for surface diffeomorphisms
45'
K. Oliveira
Universidade Federal de Alagoas, Maceio, Brazil
12:30
14:30
Lunch break
02h00'
14:30
15:15
Dynamics of partially hyperbolic systems and rigidity
45'
P. Carrasco
IMPA, Rio de Janeiro, Brazil
15:15
15:20
Break
05'
15:20
15:45
Circle homeomorphisms with break points singularities and invariant measures
25'
H. Marzougui
University of Carthage, Bizerte, Tunisia
15:45
16:45
Break
01h00'
16:45
17:30
Measures with historic behavior
45'
V. Pinheiro
Universidade Federal de Bahia, Salvador, Brazil
Wednesday, 23 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Markov partitions for surface diffeomorphisms
45'
K. Oliveira
Universidade Federal de Alagoas, Maceio, Brazil
10:15
10:20
Break
05'
10:20
10:45
Ergodic properties of generalized Viana maps
25'
P.C. Varandas
Universidade Federal de Bahia, Salvador, Brazil
10:45
11:15
Break
30'
11:15
11:40
A new approach to Quaternionic Dynamics for slice-regular functions
25'
F. Vlacci
Università degli Studi di Firenze, Firenze, Italy
11:40
11:45
Break
05'
11:45
12:30
Dynamics of partially hyperbolic systems and rigidity
45'
P. Carrasco
IMPA, Rio de Janeiro, Brazil
12:30
14:30
Lunch break
02h00'
14:30
15:15
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
C. Matheus
Collège de France, Paris, France
15:15
15:20
Break
05'
15:20
15:45
Absolute continuity for diffeomorphisms with non-compact center leaves
25'
J. Regis Varão Filho
IMPA, Rio de Janeiro, Brazil
15:45
16:15
Break
30'
16:15
16:40
Prime ends rotation number and periodic points
25'
M. Nassiri
Institute for Research in Fundamental Sciences, Tehran, Iran
16:40
17:00
Break
20'
17:00
19:00
Tutorial sessions
02h00'
Thursday, 24 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Dynamics of partially hyperbolic systems and rigidity
45'
P. Carrasco
IMPA, Rio de Janeiro, Brazil
10:15
10:20
Break
05'
10:20
10:45
Speed of Mixing for Skew-products with Singularities
25'
J. L. Vieitez
Universidad de la Republica, Salto, Uruguay
10:45
11:15
Break
30'
11:15
11:40
On equilibrium measures for the Henon maps at the first bifurcation
25'
S. Senti
Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil
11:40
11:45
Break
05'
11:45
12:30
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
C. Matheus
College de France, Paris, France
12:30
14:30
Lunch break
02h00'
14:30
15:15
Markov partitions for surface diffeomorphisms
45'
K. Oliveira
Universidade Federal de Alagoas, Maceio, Brazil
15:15
15:20
Break
05'
15:20
15:45
Ergodic theory of foliations
25'
S. Alvarez
Université de Bourgogne, Dijon, France
15:45
16:15
Break
30'
16:15
16:40
Law of large numbers for certain cylinder flows
25'
Y. Lima
Weizmann Institute of Science, Rehovot, Israel
16:40
16:45
Break
05'
16:45
17:30
Polynomial Global Product Structure
45'
A. Hammerlindl
IMPA, Rio de Janeiro, Brazil
Friday, 25 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
C. Matheus
College de France, Paris, France
10:15
10:20
Break
05'
10:20
10:45
Maximizing measures for irreducible countable Markov shifts
25'
R. Bissacot
University of Sao Paulo, Sao Paulo, Brazil
10:45
11:15
Break
30'
11:15
11:40
Lagrange Spectra in Teichmuller Dynamics
25'
L. Marchese
Université de Paris 13, Villetaneuse, France
11:40
11:45
Break
05'
11:45
12:30
Markov partitions for surface diffeomorphisms
45'
K. Oliveira
Universidade Federal de Alagoas, Maceio, Brazil
12:30
14:30
Lunch break
02h00'
14:30
15:15
Dynamics of partially hyperbolic systems and rigidity
45'
P. Carrasco
IMPA, Rio de Janeiro, Brazil
15:15
15:20
Break
05'
15:20
15:45
Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability
25'
A. Castro
Universidade Federal de Bahia, Salvador, Brazil
15:45
16:15
Break
30'
16:15
16:40
Volume of transitive sets of partially hyperbolic systems
25'
P. Zhang
Peking University, Beijing, China
16:40
16:45
Break
05'
16:45
17:30
Markov partitions for surface diffeomorphisms
45'
K. Oliveira
Universidade Federal de Alagoas, Maceio, Brazil
Monday, 28 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Markov partitions for surface diffeomorphisms
45'
O. Sarig
Weizmann Institute of Science, Rehovot, Israel
10:15
10:20
Break
05'
10:20
10:45
Markov partitions for surface diffeomorphisms
25'
O. Sarig
Weizmann Institute, Rehovot, Israel
10:45
11:15
Break
30'
11:15
11:40
Partially hyperbolic geodesic flows
25'
F. Carneiro
Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil
11:40
11:45
Break
05'
11:45
12:30
Dynamics of partially hyperbolic systems and rigidity
45'
F. Rodriguez-Hertz
Penn State, University Park, USA
12:30
14:30
Lunch break
02h00'
14:30
15:15
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
J.-C. Yoccoz
College de France, Paris, France
15:15
15:20
Break
05'
15:20
15:45
Rigidity of certain solvable actions on the sphere
25'
M. Asaoka
Kyoto University, Kyoto, Japan
15:45
16:15
Break
30'
16:15
17:00
Arnold diffusion via normally hyperbolic invariant cylinders and Mather variational method
45'
V. Kaloshin
University of Maryland, College Park MD, USA
Tuesday, 29 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Dynamics of partially hyperbolic systems and rigidity
45'
F. Rodriguez-Hertz
Penn State, University Park, USA
10:15
10:20
Break
05'
10:20
10:45
Unfolding internal homoclinic tangencies: topological entropy
25'
I. Lugao Rios
Universidade Federal Fluminense, Niteroi, Brazil
10:45
11:15
Break
30'
11:15
11:40
Distributionally uniquely ergodic diffeomorphisms
25'
A. Kocsard
Universidade Federal Fluminense, Niteroi, Brazil
11:40
11:45
Break
05'
11:45
12:30
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
J.-C. Yoccoz
College de France, Paris, France
12:30
14:30
Lunch break
02h00'
14:30
15:15
Markov partitions for surface diffeomorphisms
45'
O. Sarig
Weizmann Institute of Science, Rehovot, Israel
15:15
15:20
Break
05'
15:20
15:45
Tuning and plateaux for the entropy of $?$-continued fractions
25'
C. Carminati
Universita' degli Studi di Pisa, Pisa, Italy
15:45
16:15
Break
30'
16:15
17:00
Time one maps of geodesic flows
45'
M. Viana
IMPA, Rio de Janeiro, Brazil
Wednesday, 30 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
J.-C. Yoccoz
College de France, Paris, France
10:15
10:20
Break
05'
10:20
10:45
Spectral conditions and global phase portrait
25'
R. Rabanal Montoya
PUC, Lima, Peru
10:45
11:15
Break
30'
11:15
11:40
On C'-genericity of symplectomorphisms and lower bounds for entropy
25'
V. M. Horita
UNESP, Sao Paulo, Brazil
11:40
11:45
Break
05'
11:45
12:30
Markov partitions for surface diffeomorphisms
45'
O. Sarig
Weizmann Institute for Science, Rehovot, Israel
12:30
14:30
Lunch break
02h00'
14:30
15:15
Dynamics of partially hyperbolic systems and rigidity
45'
F. Rodriguez-Hertz
Penn State, University Park, USA
15:15
15:20
Break
05'
15:20
15:45
Renormalization operator for multimodal maps
25'
D. Smania
ICMC-USP, Brazil
15:45
16:15
Break
30'
16:15
17:00
TBA
45'
A. Avila
LPMA, Paris, France
Thursday, 31 May 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Markov partitions for surface diffeomorphisms
45'
O. Sarig
Weizmann Institute of Science, Rehovot, Israel
10:15
10:20
Break
05'
10:20
10:45
Sharp dichotomies between volume hyperbolicity and coexistence of infinitely many sinks or sources in $C^r$ topology
25'
N. Gourmelon
Universite de Bordeaux I, Talence, France
10:45
11:15
Break
30'
11:15
11:40
Robust Transitive Attractor derived from Lorenz Attractors
25'
SHI Y.
Peking University, Beijing, China
11:40
11:45
Break
05'
11:45
12:30
Dynamics of partially hyperbolic systems and rigidity
45'
F. Rodriguez-Hertz
Penn State, University Park, USA
12:30
14:30
Lunch break
02h00'
14:30
15:15
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
C. Matheus
College de France, Paris, France
15:15
15:20
Break
05'
15:20
15:45
A Diophantine duality and applications to perturbation of quasi-periodic motions
25'
Abed Bounemoura
Institute for Advanced Study Princeton, Princeton NJ, USA
15:45
16:15
Break
30'
16:15
16:40
On the geometry of horseshoes
25'
Waliston Rodrigues Silva
Universidad Federal de Sao Joao del Rei, Brazil
16:40
16:45
Break
05'
16:45
17:30
On the continuity of fractal dimensions of horseshoes in dimension 3
45'
G. Moreira
IMPA, Rio de Janeiro, Brazil
Friday, 1 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Markov partitions for surface diffeomorphisms
45'
O. Sarig
Weizmann Institute of Science, Rehovot, Israel
10:15
10:20
Break
05'
10:20
10:45
TBA
25'
E. Farinelli
Université de Bourgogne, Dijon, France
10:45
11:15
Break
30'
11:15
11:40
Thermodynamic formalism for Lorenz maps
25'
R. Leplaideur
Université de Bretagne Occidentale, Brest, France
11:40
11:45
Break
05'
11:45
12:30
Birkhoff sums for interval exchange maps: the Kontsevich-Zorich cocycle
45'
C. Matheus
College de France, Paris, France
12:30
14:30
Lunch break
02h00'
14:30
15:15
Dynamics of partially hyperbolic systems and rigidity
45'
F. Rodriguez-Hertz
Penn State, University Park, USA
15:15
15:20
Break
05'
15:20
16:05
The entropy of the Plancherel measure: proof of the Vershik-Kerov conjecture
45'
A. Bufetov
Steklov Mathematical Institute, Moscow, Russia
16:05
16:20
Break
15'
16:20
16:45
Variance of Linear Statistic for Plancherel Young Diagrams
25'
K. Tolmachov
National Research University Moscow, Russia
Monday, 4 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

08:30
09:30
REGISTRATION OF THE CONFERENCE PARTICIPANTS
01h00'
Room: Leonardo da Vinci Building, Lobby
09:30
10:15
Newhouse phenomenon and uniformity of extremal bundles
45'
S. Crovisier
Université Paris 13, Villetaneuse, France
10:15
10:20
Break
05'
10:20
10:45
A simple approach to rigorous approximation of invariant measures
25'
S. Galatolo
Universita di Pisa, Pisa, Italy
10:45
11:15
Break
30'
11:15
11:40
On the observability of periodic orbits for diffeomorphisms
25'
S. Hayashi
University of Tokyo, Tokyo, Japan
11:40
11:45
Break
05'
11:45
12:30
Partial hyperbolicity and tolopogy of 3-manifolds
45'
J. Rodriguez-Hertz
Universidad de la Republica, Montevideo, Uruguay
12:30
14:30
Lunch break
02h00'
14:30
15:15
Analytic Diophantine Kam-Tori are never isolated
45'
L.H. Eliasson
Institut de Mathématiques de Jussieu, Paris, France
15:15
15:20
Break
05'
15:20
15:45
Dynamical aspects of polygonal linkages
25'
G. Khimshiashvili
Ilia State University, Tbilisi, Georgia
15:45
16:10
Break
25'
16:10
16:55
On Zero Lyapunov exponents and conjugacy
45'
A. Navas
Universidad de Santiago de Chile, Chile
16:55
17:00
Break
05'
17:00
17:45
Some simple questions and results related to the C^r stability conjecture
45'
E. Pujals
IMPA, Rio de Janeiro, Brazil
Tuesday, 5 June 2012. Chairpersons: Morning session: F. Przytycki - Afternoon session: J. Rodriguez-Hertz

Room: Leonardo da Vinci Building Main Lecture Hall

5 June 2012
09:30
10:15
The general case
45'
A. Wilkinson
Northwestern University, Evanston IL, USA
10:15
10:20
Break
05'
10:20
10:45
Renormalization for Lorenz maps
25'
D. Gaidashev
University of Uppsala, Uppsala, Sweden
10:45
11:15
Break
30'
11:15
11:40
Equilibrium states for robustly transitive systems
25'
T. Fisher
Birgham Young University, Provo Utah, USA
11:40
11:45
Break
05'
11:45
12:30
Linearization of Roth-Type Interval Exchange Maps
45'
S. Marmi
Scuola Normale Superiore di Pisa, Pisa, Italy
12:30
14:30
Lunch break - Poster Session
02h00'
14:30
15:15
Decay of correlations for fiber contracting maps
45'
M.J. Pacifico
UFRJ, Rio de Janeiro, Brazil
15:15
15:20
Break
05'
15:20
15:45
No full families for Hénon-like maps
25'
P. Hazard
University of Warwick, Coventry, UK
15:45
16:10
Break
25'
16:10
16:55
The fixed point of parabolic renormalization
45'
M. Yampolsky
University of Toronto, Toronto, Canada
16:55
17:00
Break
05'
17:00
17:45
Coexistence phenomena in dynamics
45'
Y. Pesin
Penn State, University Park, USA
Wednesday, 6 June 2012. Chairpersons - Morning session: A. Wilkinson and M. Tsujii - Afternoon session: O. Sester

Room: Leonardo da Vinci Building Main Lecture Hall

6 June 2012
09:00
09:45
Jakobson's theorem via Yoccoz puzzles and the measure of stochastic parameters
45'
M. Shishikura
Kyoto University, Kyoto, Japan
09:45
09:50
Break
05'
09:50
10:15
Star flows and singular hyperbolicity
25'
S. Gan
Peking University, Beijing, China
10:15
10:45
Break
30'
10:45
11:10
Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps joint work V. Baladi and S. Marmi
25'
D. Sauzin
Scuola Normale Superiore di Pisa, Pisa, Italy
11:10
11:15
Break
05'
11:15
11:40
Uniqueness of the maximal entropy measure and Hausdorff dimension of the exceptional set of Henon maps
25'
P. Berger
LAGA, Paris - IMPA, Rio de Janeiro
11:40
11:45
Break
05'
11:45
12:10
Cyclicity one elliptic islands in the Standard family
25'
J. De Simoi
Università degli Studi di Roma Tor Vergata, Roma, Italy
12:10
12:15
Break
05'
12:15
13:00
Partial hyperbolicity and leaf conjugacy in small 3-manifolds
45'
Rafael Potrie Altieri
Universidad de la Republica, Montevideo, Uruguay
13:00
14:30
Lunch break
01h30'
14:30
15:15
Desintegration of Lebesgue measure and Lyapunov exponents for partially hyperbolic dynamics
45'
A. Tahzibi
USP - Sao Carlos, Brazil
15:15
15:20
Break
05'
15:20
15:45
TBA
25'
S. Slijepcevic
University of Zagreb, Zagreb, Croatia
15:45
16:10
Break
25'
16:10
16:55
On the Whitney-Holder regularity of the SRB measure in the quadratic family (joint with M. Benedicks and D. Schnellmann)
45'
V. Baladi
Ecole Normale Superieure, Paris, France
16:55
17:00
Break
05'
17:00
17:45
Building transitive and non transitive Anosov flows on 3 manifolds
45'
C. Bonatti
Université de Bourgogne, Dijon, France
Thursday, 7 June 2012 - Chairpersons: Morning session: M. Shishikura - Afternoon session: M. Yampolsky

Room: Leonardo da Vinci Building Main Lecture Hall

7 June 2012
09:30
10:15
Feigenbaum Julia sets of positive area
45'
M. Lyubich
State Univ. of New York at Stony Brook, NY, USA
10:15
10:20
Break
05'
10:20
10:45
$C^{2}$-robust heterodimensional tangencies
25'
S. Kiriki
Kyoto University of Education, Kyoto, Japan
10:45
11:15
Break
30'
11:15
11:40
Typicality of finite complexity for the singularity set in planar dispersing billiards
25'
P. Toth
Budapest University of Technology, Budapest, Hungary
11:40
11:45
Break
05'
11:45
12:30
Wild spheres as limit sets of conformal Kleinian groups
45'
A. Verjovsky
UNAM, Cuernavaca, Mexico
12:30
14:30
Lunch break
02h00'
14:30
14:55
Strong stochastic stability for non-uniformly expanding maps
25'
H. Vilarinho
University of Beira Interior, Covilha, Portugal
14:55
15:00
Break
05'
15:00
15:45
Arnold diffusion in a priori chaotic systems
45'
D. Turaev
Imperial College, London, UK
Friday, 8 June 2012

Room: Leonardo da Vinci Building Main Lecture Hall

09:30
10:15
Prequantum Anosov map
45'
M. Tsujii
Kyushu University, Kyushu, Japan
10:15
10:20
Break
05'
10:20
10:45
Sharp mixing rates for infinite measure preserving systems
25'
D. Terhesiu
Universita di Roma Tor Vergata, Roma, Italy
10:45
10:50
Break
05'
10:50
11:15
Sinai billiards with moving scatterers
25'
S. Stenlund
University of Helsinki, Helsinki, Finland
11:15
11:45
Break
30'
11:45
12:10
Multifractal formalism for Benedicks-Carleson quadratic maps
25'
Y.M. Chung
Hiroshima University, Higashi Hiroshima, Japan
12:10
12:15
Break
05'
12:15
13:00
Low-temperature phase transitions in the quadratic family
45'
J. Rivera-Letelier
PUC, Santiago, Chile
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