Description

Book Synopsis
A monograph devoted to the study of the dynamics of expanding Thurston maps under iteration. A Thurston map is a branched covering map on a two-dimensional topological sphere such that each critical point of the map has a finite orbit under iteration.

Table of Contents
  • Introduction
  • Thurston maps
  • Lattes maps
  • Quasiconformal and rough geometry
  • Cell decompositions
  • Expansion
  • Thurston maps with two or three postcritical points
  • Visual metrics
  • Symbolic dynamics
  • Tile graphs
  • Isotopies
  • Subdivisions
  • Quotients of Thurston maps
  • Combinatorially expanding Thurston maps
  • Invariant curves
  • The combinatorial expansion factor
  • The measure of maximal entropy
  • The geometry of the visual sphere
  • Rational Thurston maps and Lebesgue measure
  • A combinatorial characterization of Lattes maps
  • Outlook and open problems
  • Appendix A
  • Bibliography
  • Index.

    Expanding Thurston Maps

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      £135.00

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      RRP £150.00 – you save £15.00 (10%)

      Order before 4pm today for delivery by Thu 6 Aug 2026.

      A Hardback by Mario Bonk, Daniel Meyer

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date:
        ISBN13: 9780821875544, 978-0821875544
        ISBN10:

        Description

        Book Synopsis
        A monograph devoted to the study of the dynamics of expanding Thurston maps under iteration. A Thurston map is a branched covering map on a two-dimensional topological sphere such that each critical point of the map has a finite orbit under iteration.

        Table of Contents
        • Introduction
        • Thurston maps
        • Lattes maps
        • Quasiconformal and rough geometry
        • Cell decompositions
        • Expansion
        • Thurston maps with two or three postcritical points
        • Visual metrics
        • Symbolic dynamics
        • Tile graphs
        • Isotopies
        • Subdivisions
        • Quotients of Thurston maps
        • Combinatorially expanding Thurston maps
        • Invariant curves
        • The combinatorial expansion factor
        • The measure of maximal entropy
        • The geometry of the visual sphere
        • Rational Thurston maps and Lebesgue measure
        • A combinatorial characterization of Lattes maps
        • Outlook and open problems
        • Appendix A
        • Bibliography
        • Index.

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