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月 1 2007 |
!!!All Science Journal Classification (ASJC) codes
- 統計物理学および非線形物理学
- 数理物理学
- 物理学および天文学(全般)
- 応用数学