Frédéric Le Roux has written a very lucid exposition of the Alpern genericity theorem. This theorem states that the same ergodic properties are generic in the set of volume-preserving measurable transformations and in the set of volume-preserving homeomorphisms. More precisely, endow with the weak topology, i.e., the coarsest generated by , for all measurable [...]
Posts Tagged ‘topological dynamics’
Alpern genericity theorem
Posted in Dynamics, papers, tagged Dynamics, ergodic theory, genericity, topological dynamics on January 27, 2010 | Leave a Comment »
Orders of accumulation of entropy structures
Posted in Dynamics, talks, tagged Dynamics, entropy structure, ergodic theory, set theory, symbolic extension, topological dynamics on January 14, 2010 | Leave a Comment »
Kevin McGoff gave a talk at Orsay on his work on the theory of entropy srtuctures and symbolic extensions. This theory was founded by Mike Boyle and Tomasz Downarowicz, among others. This theory relates the continuity properties of the measure-theoretic entropy function with the existence of symbolic topological extensions with measure-theoretic entropies as close as [...]
C^2 surface diffeomorphisms always have a symbolic extension
Posted in Dynamics, news, papers, tagged Dynamics, entropy, entropy structure, smooth dynamics, smooth ergodic theory, symbolic extension, topological dynamics on December 10, 2009 | Leave a Comment »
Most of topological dynamics studies systems of the form where is a continuous self-map and is a compact metric space. One approach is to “reduce” such systems to symbolic dynamical system, i.e., where is a closed subset of and such that . J. Auslander asked about the obstructions for a topological system to have a [...]
Sylvain CROVISIER’s HDR
Posted in Dynamics, news, talks, tagged bifurcations, closing lemma, Dynamics, generic dynamics, partial hyperbolicity, smooth ergodic theory, topological dynamics on November 27, 2009 | Leave a Comment »
On November 25th, 2009, Sylvain CROVISIER defended his habilitation à diriger des recherches titled Perturbation de la dynamique de difféomorphismes en petite régularité. He first explained basic perturbation techniques: the Anosov-Katok procedure: you use more and more distorted conjugacies such that the limiting dynamics has new properties; the closing lemma of Pugh and the subsequent [...]
Première Journée Affine par Morceaux
Posted in Meetings, tagged Dynamics, entropy, group actions, piecewise affine dynamics, symbolic dynamics, topological dynamics on February 23, 2009 | Leave a Comment »
Elle aura bien lieu le jeudi 7 mai à l’Institut Henri Poincaré, Amphithéatre Darboux: voir ici. Merci de vérifier votre inscription et de vous inscrire ou désinscrire selon le cas.
