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Expanding Thurston Maps

Author: Mario Bonk; Daniel Meyer; American Mathematical Society,
Publisher: Providence, Rhode Island : American Mathematical Society, [2017]
Series: Mathematical surveys and monographs, no. 225.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This monograph is 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. It is called expanding if, roughly speaking, preimages of a fine open cover of the underlying sphere under iterates of the map become finer and finer as the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bonk, Mario.
Expanding Thurston Maps.
Providence, Rhode Island : American Mathematical Society, [2017]
(DLC) 2017017476
(OCoLC)983796086
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mario Bonk; Daniel Meyer; American Mathematical Society,
ISBN: 9781470442521 1470442523
OCLC Number: 1016497341
Description: 1 online resource.
Contents: Introduction Thurston maps Lattès 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 Lattès maps Outlook and open problems Appendix A
Series Title: Mathematical surveys and monographs, no. 225.
Responsibility: Mario Bonk, Daniel Meyer.

Abstract:

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  Read more...

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