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· 제목 : Expanding Thurston Maps (Hardcover) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780821875544
· 쪽수 : 496쪽
· 출판일 : 2017-11-24
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780821875544
· 쪽수 : 496쪽
· 출판일 : 2017-11-24
목차
- 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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