抄録
The topological entropy of a piecewise projective homeomorphism of the 2-sphere is shown to be given by the growth rate of the number of projective pieces under iteration, likewise for piecewise affine homeomorphisms of the plane. This is a two-dimensional version of the lap number formula for one-dimensional maps. In higher dimensions and for non-invertible maps we obtain only an inequality.
| 本文言語 | 英語 |
|---|---|
| ページ（範囲） | 2755-2772 |
| ページ数 | 18 |
| ジャーナル | Nonlinearity |
| 巻 | 20 |
| 号 | 12 |
| DOI | |
| 出版ステータス | 出版済み - 12 1 2007 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics