Strong regularity / Pierre Berger, Jean-Christophe Yoccoz
Type de document : MonographieCollection : Astérisque, 410Langue : anglais.Pays: France.Éditeur : Paris : Société Mathématique de France, cop. 2019Description : 1 vol. ( ix+180 p.) ; 24 cmISBN: 9782856299043.ISSN: 0303-1179.Bibliographie : Index.Sujet MSC : 37D20, Dynamical systems with hyperbolic behavior, Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)37D25, Dynamical systems with hyperbolic behavior, Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
37D45, Dynamical systems with hyperbolic behavior, Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C40, Smooth dynamical systems: general theory, Smooth ergodic theory, invariant measures for smooth dynamical systems
37E30, Low-dimensional dynamical systems, involving homeomorphisms and diffeomorphisms of planes and surfacesEn-ligne : SMF - texte intégral
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The strong regularity program was initiated by Jean-Christophe Yoccoz during his first lecture at Collège de France. As explained in the first article of this volume, this program aims to show the abundance of dynamics displaying a non-uniformly hyperbolic attractor. It proposes a topological and combinatorial definition of such mappings using the formalism of puzzle pieces. Their combinatorics enable to deduce the wished analytical properties ...
Index
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