國立虎尾科技大學 |

Nonuniformly Hyperbolic Attractors = Geometric and Probabilistic Aspects /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonuniformly Hyperbolic Attractors/ by José F. Alves.
其他題名:	Geometric and Probabilistic Aspects /
作者:	Alves, José F.
面頁冊數:	XI, 259 p. 5 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Vibration, Dynamical Systems, Control. -
電子資源:	https://doi.org/10.1007/978-3-030-62814-7
ISBN:	9783030628147

Nonuniformly Hyperbolic Attractors = Geometric and Probabilistic Aspects /
Alves, José F.

Nonuniformly Hyperbolic AttractorsGeometric and Probabilistic Aspects /[electronic resource] :by José F. Alves. - 1st ed. 2020. - XI, 259 p. 5 illus.online resource. - Springer Monographs in Mathematics,1439-7382. - Springer Monographs in Mathematics,.

1 Introduction -- 2 Preliminaries -- 3 Expanding Structures -- 4 Hyperbolic Structures -- 5 Inducing Schemes -- 6 Nonuniformly Expanding Attractors -- 7 Partially Hyperbolic Attractors -- Index.

This monograph offers a coherent, self-contained account of the theory of Sinai–Ruelle–Bowen measures and decay of correlations for nonuniformly hyperbolic dynamical systems. A central topic in the statistical theory of dynamical systems, the book in particular provides a detailed exposition of the theory developed by L.-S. Young for systems admitting induced maps with certain analytic and geometric properties. After a brief introduction and preliminary results, Chapters 3, 4, 6 and 7 provide essentially the same pattern of results in increasingly interesting and complicated settings. Each chapter builds on the previous one, apart from Chapter 5 which presents a general abstract framework to bridge the more classical expanding and hyperbolic systems explored in Chapters 3 and 4 with the nonuniformly expanding and partially hyperbolic systems described in Chapters 6 and 7. Throughout the book, the theory is illustrated with applications. A clear and detailed account of topics of current research interest, this monograph will be of interest to researchers in dynamical systems and ergodic theory. In particular, beginning researchers and graduate students will appreciate the accessible, self-contained presentation.

ISBN: 9783030628147

Standard No.: 10.1007/978-3-030-62814-7doiSubjects--Topical Terms:

670825
Vibration, Dynamical Systems, Control.

LC Class. No.: QA313

Dewey Class. No.: 515.39

Nonuniformly Hyperbolic Attractors = Geometric and Probabilistic Aspects /
LDR:02875nam a22004215i 4500 001 1030944
003 DE-He213
005 20201223172227.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030628147 $9 978-3-030-62814-7
024 7 $a 10.1007/978-3-030-62814-7 $2 doi
035 $a 978-3-030-62814-7
050 4 $a QA313
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBWR $2 thema
082 0 4 $a 515.39 $2 23
082 0 4 $a 515.48 $2 23
100 1 $a Alves, José F. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1327976
245 1 0 $a Nonuniformly Hyperbolic Attractors $h [electronic resource] : $b Geometric and Probabilistic Aspects / $c by José F. Alves.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a XI, 259 p. 5 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Monographs in Mathematics, $x 1439-7382
505 0 $a 1 Introduction -- 2 Preliminaries -- 3 Expanding Structures -- 4 Hyperbolic Structures -- 5 Inducing Schemes -- 6 Nonuniformly Expanding Attractors -- 7 Partially Hyperbolic Attractors -- Index.
520 $a This monograph offers a coherent, self-contained account of the theory of Sinai–Ruelle–Bowen measures and decay of correlations for nonuniformly hyperbolic dynamical systems. A central topic in the statistical theory of dynamical systems, the book in particular provides a detailed exposition of the theory developed by L.-S. Young for systems admitting induced maps with certain analytic and geometric properties. After a brief introduction and preliminary results, Chapters 3, 4, 6 and 7 provide essentially the same pattern of results in increasingly interesting and complicated settings. Each chapter builds on the previous one, apart from Chapter 5 which presents a general abstract framework to bridge the more classical expanding and hyperbolic systems explored in Chapters 3 and 4 with the nonuniformly expanding and partially hyperbolic systems described in Chapters 6 and 7. Throughout the book, the theory is illustrated with applications. A clear and detailed account of topics of current research interest, this monograph will be of interest to researchers in dynamical systems and ergodic theory. In particular, beginning researchers and graduate students will appreciate the accessible, self-contained presentation.
650 2 4 $a Vibration, Dynamical Systems, Control. $3 670825
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 0 $a Dynamical systems. $3 1249739
650 0 $a Vibration. $3 595749
650 0 $a Ergodic theory. $3 672355
650 0 $a Dynamics. $3 592238
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030628130
776 0 8 $i Printed edition: $z 9783030628154
776 0 8 $i Printed edition: $z 9783030628161
830 0 $a Springer Monographs in Mathematics, $x 1439-7382 $3 1254272
856 4 0 $u https://doi.org/10.1007/978-3-030-62814-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)