Systèmes dynamiques non uniformement et partiellement hyperboliques.
Couplage, renouvellement
20 – 24 février, 2017
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We would like to explore the statistical properties of uniformly and non-uniformly hyperbolic dynamical systems in terms of maps and flows, and also in the framework of Teichmüller dynamics, with the objective to establish limit theorems using new and promising techiques, including:
There are also dynamic systems of different nature which exhibit very rich statistical behaviors and which are the subject of intense research nowadays, in particular:
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Comité scientifique & Comité d’organisation
Serge Troubetzkoy (Aix-Marseille Université) « We the organizers of this conference affirm that scientific events must be open to everyone, regardless of race, sex, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, immigration status, or any other aspect of identity. We believe that such events must be supportive, inclusive, and safe environments for all participants. We believe that all participants are to be treated with dignity and respect. Discrimination and harassment cannot be tolerated. We are committed to ensuring that the conference Non Uniformly Hyperbolic Dynamical Systems. Coupling and Renewal Theory follows these principles. For more information on the Statement of Inclusiveness, see this dedicated web page http://www.math.toronto.edu/~rafi/statement/index.html. »
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Conférenciers
Random Lorentz gas and deterministic walks in random environments
The system of two falling balls
Constant slope maps, the Vere Jones classification, Lipschitz constants and entropy
The Dolgopyat inequality for BV observables (slides)
Mixing properties of the Weil-Petersson geodesic flow
Young towers for surface diffeomorphisms
Generic properties of the geodesic flow in nonpositive curvature
Singular hyperbolicity and homoclinic tangencies of 3-dimensional flows
Large and Moderate deviations for slowly mixing Markov chains
Hitting Times and Escape Rates (slides)
Almost sure invariance principle for random piecewise expanding maps
Oscillating sequences realized by dynamical systems
Global normal form and asymptotic spectral gap for open partially expanding maps |
Computer aided results in ergodic theory and Existence of Noise Induced Order (slides) Belousov Zhabotinsky reaction (mp4)
Non-autonomous dynamical systems and multiplicative ergodic theory
Fast-Slow partially hyperbolic systems: an example
Regularity properties of Minkowski’s question mark measure (slides)
Mixing and rates of mixing for infinite measure flows
Non trivial Ruelle spectrum in uniformly and partially hyperbolic systems (slides)
Dynamical Borel-Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems (slides)
Time-space study of visits to small sets (slides)
Central Limit Theorems for Circle Packings
The method of standard pairs in the rare interaction limit of a dynamical heat conduction model
Ergodic theory and Diophantine approximation for translation surfaces and affine forms
Past of the Markov chains : theory of filtrations
Decay of correlations for various types of billiards with flat points |