Ergodic theory of expanding Thurston maps. (2017)

• Record Type: Book
• Further Information: Note: Zhiqiang Li.
• Authors: Li, Zhiqiang
• Contents: Preface; Contents; Notation; 1 Introduction; 2 Thurston Maps; 2.1 Historical Background; 2.2 Definition for Thurston Maps; 2.3 Cell Decompositions; 2.4 Notions of Expansion for Thurston Maps; 2.5 Visual Metric; 2.6 Invariant Curves; 3 Ergodic Theory; 3.1 Covers and Partitions; 3.2 Entropy and Pressure; 3.3 The Ruelle Operator for Expanding Thurston Maps; 3.4 Weak Expansion Properties; 4 The Measure of Maximal Entropy; 4.1 Number and Locations of Fixed Points; 4.2 Equidistribution; 4.3 Expanding Thurston Maps as Factors of the Left-Shift; 5 Equilibrium States; 5.1 The Assumptions.
• Publisher Details: Paris : Atlantis Press
• Publication Date: 2017
• Extent: 1 online resource (xii, 182 pages), illustrations
• Subjects: 515/.48; Ergodic theory; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Ergodic theory; Mathematics; Dynamical Systems and Ergodic Theory; Functions of a Complex Variable; Electronic books
• Languages: English
• ISBNs: 9789462391741; 9462391742
• Related ISBNs: 9789462391734; 9462391734
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed April 13, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.