Lap number entropy formula for piecewise affine and projective maps in several dimensions

Yutaka Ishii, Duncan Sands

研究成果: Contribution to journalArticle査読

5 被引用数 (Scopus)

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
20
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

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