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Catalogue Information
Field name	Details
Dewey Class	515.39
Dewey Class	515.48
Title	An Introduction to the Kolmogorov–Bernoulli Equivalence ([EBook]) / by Gabriel Ponce, Régis Varão.
Author	Ponce, Gabriel
Added Personal Name	Varão, Régis
Other name(s)	SpringerLink (Online service)
Publication	Cham : Springer International Publishing , 2019.
Physical Details	XIV, 119 pages : 5 illus. : online resource.
Series	SpringerBriefs in Mathematics
ISBN	9783030273903
Summary Note	This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov–Bernoulli (non)equivalence problem, and presents recent results in this field. Starting with a crash course on ergodic theory, it uses the class of ergodic automorphisms of the two tori as a toy model to explain the main ideas and technicalities arising in the aforementioned problem. The level of generality then increases step by step, extending the results to the class of uniformly hyperbolic diffeomorphisms, and concludes with a survey of more recent results in the area concerning, for example, the class of partially hyperbolic diffeomorphisms. It is hoped that with this type of presentation, nonspecialists and young researchers in dynamical systems may be encouraged to pursue problems in this area.:
Contents note	Introduction -- Preliminaries in Ergodic Theory -- Kolmogorov–Bernoulli Equivalence for Ergodic Automorphism of T² -- Hyperbolic Structures and the Kolmogorov–Bernoulli Equivalence -- State of the Art -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-27390-3
Links to Related Works	Subject References: Dynamical systems and ergodic theory . Dynamics . Ergodic theory . Functional Analysis . Measure and Integration . Measure theory . Authors: author . Ponce, Gabriel . Varão, Régis . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 515.39 . 515.48 . 515.39 (DDC 23) .

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An Introduction to the Kolmogorov–Bernoulli Equivalence

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