Expanding Thurston maps /

510MS
Am512

138311

Bonk, Mario, Expanding Thurston maps / Mario Bonk and Daniel Meyer. - Providence : American Mathematical Society, ©2017.
xv, 478 pages : illustrations ; 27 cm. - (Mathematical surveys and monographs ; v 225.) Content notes : 1. Introduction --
2. Thurston maps --
3. Lattes maps --
4. Quasiconformal and rough geometry --
5. Cell decompositions --
6.Expansion --
7. Thurston maps with two or three postcritical points --
8. Visual metrics --
9. Symbolic dynamics --
10. Tile graphs --
11. Isotopies --
12. Subdivisions --
13. Quotients of Thurston maps --
14. Combinatorially expanding Thurston maps --
15. Invariant curves --
16. The combinatorial expansion factor --
17. The measure of maximal entropy --
18. The geometry of the visual sphere --
19. Rational Thurston maps and Lebesgue measure --
20. A combinatorial characterization of Lattes maps --
21. Outlook and open problems --
Appendix A --
Bibliography --
Index. 9780821875544 (alk. paper) * Algebraic topology. Mappings (Mathematics) * Meyer, Daniel, * Title * Series