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Lieferstatus:	i.d.R. innert 5-10 Tagen versandfertig
Veröffentlichung:	November 2019
Genre:	Schulbücher
	C / Dynamical systems / Dynamical Systems and Ergodic Theory / Dynamics / Ergodic theory / Functional Analysis / Functional analysis & transforms / Integral calculus & equations / Mathematics and Statistics / Measure and Integration / measure theory
ISBN:	9783030273897
EAN-Code:	9783030273897
Verlag:	Springer International Publishing
Einband:	Kartoniert
Sprache:	English
Serie:	SpringerBriefs in Mathematics
Dimensionen:	H 235 mm / B 155 mm / D 8 mm
Gewicht:	219 gr
Seiten:	136
Zus. Info:	Paperback
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.