Groupe de travail : Attracteurs étranges

Le jeudi midi entre 12h15 et 14h, salle 16 du bâtiment 430. (Bien sur, il est conseille aux personnnes qui ne peuvent pas manger avant de prendre un casse-croute.)

 Le groupe de travail porte sur le preprint recent de Q. Wang et L.-S. Young, "Analysis of a Class of Strange Attractors": This work contains the results from a comprehensive study of a new class of attractors. The attractors in this class are characterized by strong local instability, but they are not uniformly hyperbolic. Rigorous results on their dynamical, geometric and statistical properties are presented.

L'article est disponible sur Internet à l'adresse http://xxx.lpthe.jussieu.fr/abs/math/9909012

Organisateur : Sylvain Crovisier (poste 55781). Si vous souhaitez etre sur la liste de diffusion, il suffit d'ecrire a Sylvain.Crovisier@math.u-psud.fr

Séances de l'année 1999-2000 2000-2001.

Groupe de travail : Dynamique dissipative

Sheldon Newhouse expose les resultats recents d'un travail en cours et en collaboration
avec M. Jakobson sur le theme des mesures asymptotiques pour les homeomorphismes dissipatifs
du plan.
Sheldon Newhouse will give a series of informal lectures on a joint work in progress
with M. Jakobson. He will talk on asymptotic measures for strongly dissipative diffeomorphisms
of the plane.
 
Working seminar
Every thursday : 9h30-12h.
Universite Paris-sud
Departement de mathematiques, bat 425.
RER B station Orsay ville
Room: 121-123.
Organisateurs :   Philippe Thieullen (Philippe.Thieullen@math.u-psud.fr).
                            Sheldon Newhouse (Sheldon.Newhouse@math.u-psud.fr).

Jeudi 22 mars 2001

Sheldon Newhouse

 An overview of the problem.

Mardi 27 mars 2001

Philippe Thieullen

 Constructions des mesures SRB en dynamique uniformement hyperbolique
(methode de Sinai).

Jeudi 5 avril 2001

Philippe Thieullen

 Suite.
Expose du travail de Alves-Bonatti-Viana.

Jeudi 26 avril 2001

Sheldon Newhouse

 New methods for handling distortion.

This will be a non-technical lecture for non-experts on the use of "distortion" estimates in smooth dynamical systems. Such estimates are of fundamental importance when one wants to understand the behavior of the iterates of Lebesgue measure in smooth systems. Fundamental properties and typical applications will be given.

Jeudi 3 mai 2001

Sheldon Newhouse

  Asymptotic Measures in Area Decreasing Maps of the plane .

This will be a general description of the approach of M. Jakobson and the lecturer to problems of the existence of limits of the iterates of Lebesgue measure in area decreasing maps of the plane. Geometric ideas will be emphasized and detailed technical estimates will be avoided.

Jeudi 10 mai 2001

Jerome Buzzi

  Mesures SRB en dimension dilatante > 1.

On presentera quelques resultats de construction de mesures SRB pour des systemes ayant plusieurs exposants de Lyapunov strictement positifs.

Bibliographie:
    J. Alves, SRB measures for non-hyperbolic systems with multidimensional expansion., Ann. Sci. École Norm. Sup. 33 (2000).
    J. Alves, C. Bonatti, M. Viana, SRB measures for partially hyperbolic systems whose central direction is mostly expanding, Invent. Math. 140 (2000).
    J. Buzzi, acim for piecewise expanding and real-analytic mappings of the plane, ETDS 20 (2000).
    J. Buzzi, no or infinitely many acip for piecewise expanding C^r maps in higher dimensions, preprint CMAT 2000-19 (to appear Comm. Math. Phys.).
   C. Bonatti, M. Viana, SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Israel J. Math. 115 (2000).
    M. Tsujii, acim for piecewise expanding and real- analytic mappings of the plane, Comm. Math. Phys. 208. (2000).


Dernière modification le 3 mai 2001.

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