Ergodic Theory of Expanding Thurston Maps (Запис № 453032)

МАРК-запис
000 -LEADER
fixed length control field 03728nam a22005775i 4500
001 - CONTROL NUMBER
control field 978-94-6239-174-1
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20210118152316.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170406s2017 fr | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789462391741
-- 978-94-6239-174-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.2991/978-94-6239-174-1
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA313
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWR
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWR
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.39
Edition number 23
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.48
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Li, Zhiqiang.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Ergodic Theory of Expanding Thurston Maps
Medium [electronic resource] /
Statement of responsibility, etc by Zhiqiang Li.
250 ## - EDITION STATEMENT
Edition statement 1st ed. 2017.
264 #1 -
-- Paris :
-- Atlantis Press :
-- Imprint: Atlantis Press,
-- 2017.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 182 p. 12 illus.
Other physical details online resource.
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-- text
-- txt
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-- computer
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-- rdamedia
338 ## -
-- online resource
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-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Atlantis Studies in Dynamical Systems ;
Том/ позначення послідовності 4
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1.Introduction -- 2.Thurston maps -- 3.Ergodic theory -- 4.The measure of maximal entropy -- 5.Equilibrium states -- 6.Asymptotic h-Expansiveness -- 7.Large deviation principles. .
520 ## - SUMMARY, ETC.
Summary, etc Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, and certain weak expansion properties of such maps. In particular, we present equidistribution results for iterated preimages and periodic points with respect to the unique measure of maximal entropy by investigating the number and locations of fixed points. We then use the thermodynamical formalism to establish the existence, uniqueness, and various other properties of the equilibrium state for a Holder continuous potential on the sphere equipped with a visual metric. After studying some weak expansion properties of such maps, we obtain certain large deviation principles for iterated preimages and periodic points under an additional assumption on the critical orbits of the maps. This enables us to obtain general equidistribution results for such points with respect to the equilibrium states under the same assumption.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access Available to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Online access from local network of NaUOA.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Online access with authorization at https://link.springer.com/
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Онлайн-доступ з локальної мережі НаУОА.
506 ## - RESTRICTIONS ON ACCESS NOTE
Standardized terminology for access restriction Онлайн доступ з авторизацією на https://link.springer.com/
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Ergodic theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of complex variables.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamical Systems and Ergodic Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M1204X
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of a Complex Variable.
-- http://scigraph.springernature.com/things/product-market-codes/M12074
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9789462391734
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9789462391758
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Atlantis Studies in Dynamical Systems ;
Volume number/sequential designation 4
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.2991/978-94-6239-174-1">https://doi.org/10.2991/978-94-6239-174-1</a>
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type ЕКнига

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