Expanding Thurston Maps

ISBN-13: 9780821875544 / Angielski / Twarda / 2018 / 496 str.

Mario Bonk;Daniel Meyer

Spis treści

• 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.