Titlebook: An Introduction to the Kolmogorov–Bernoulli Equivalence; Gabriel Ponce,Régis Var?o Book 2019 The Author(s), under exclusive licence to Spr

健談的人

https://doi.org/10.1007/978-3-531-90649-2is chapter is to show that Kolmogorov and Bernoulli property can be obtained for a much more general class of dynamical systems, namely those admitting a global uniform hyperbolic behavior, i.e., the Anosov systems (Definition 4.1). Anosov systems play a crucial role in smooth ergodic theory being t

疏忽

Arboreal

Introduction,c hierarchy of measure preserving transformations and quickly discuss the problem of detecting conditions under which the Kolmogorov property is promoted to the Bernoulli property. In particular the method introduced by Ornstein and Weiss is of particular interest for our context (smooth dynamics).

飛鏢

Mindfulness

Ordnance

Condense

State of the Art,ve a smooth measure and admit some level of hyperbolicity. We define the class of non-uniformly hyperbolic diffeomorphisms (resp. flows), the class of smooth maps (resp. flows) with singularities, and the class of partially hyperbolic diffeomorphisms derived from Anosov, and present the state of art

Colonnade

anatomical

neoplasm

2191-8198 ith this type of presentation, nonspecialists and young researchers in dynamical systems may be encouraged to pursue problems in this area..978-3-030-27389-7978-3-030-27390-3Series ISSN 2191-8198 Series E-ISSN 2191-8201