東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

An introduction to the Kolmogorov-Be...

Ponce, Gabriel.

FindBook

Google Book

Amazon

博客來

An introduction to the Kolmogorov-Bernoulli equivalence

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to the Kolmogorov-Bernoulli equivalence/ by Gabriel Ponce, Regis Varao.
作者:	Ponce, Gabriel.
其他作者:	Varao, Regis.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xiv, 119 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Ergodic theory. -
電子資源:	https://doi.org/10.1007/978-3-030-27390-3
ISBN:	9783030273903

An introduction to the Kolmogorov-Bernoulli equivalence
Ponce, Gabriel.

An introduction to the Kolmogorov-Bernoulli equivalence[electronic resource] /by Gabriel Ponce, Regis Varao. - Cham :Springer International Publishing :2019. - xiv, 119 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783030273903

Standard No.: 10.1007/978-3-030-27390-3doiSubjects--Topical Terms:

555691
Ergodic theory.

LC Class. No.: QA313 / .P663 2019

Dewey Class. No.: 515.42

An introduction to the Kolmogorov-Bernoulli equivalence
LDR:02080nmm a2200337 a 4500 001 2219029
003 DE-He213
005 20200131095122.0
006 m d
007 cr nn 008maaau
008 201126s2019 sz s 0 eng d
020 $a 9783030273903 $q (electronic bk.)
020 $a 9783030273897 $q (paper)
024 7 $a 10.1007/978-3-030-27390-3 $2 doi
035 $a 978-3-030-27390-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA313 $b .P663 2019
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBWR $2 thema
082 0 4 $a 515.42 $2 23
090 $a QA313 $b .P792 2019
100 1 $a Ponce, Gabriel. $3 3453965
245 1 3 $a An introduction to the Kolmogorov-Bernoulli equivalence $h [electronic resource] / $c by Gabriel Ponce, Regis Varao.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xiv, 119 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 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.
520 $a 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.
650 0 $a Ergodic theory. $3 555691
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Measure and Integration. $3 891263
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Varao, Regis. $3 3453966
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u https://doi.org/10.1007/978-3-030-27390-3
950 $a Mathematics and Statistics (Springer-11649)