Entropy versus volume for pseudo-anosovs

E. Kin, S. Kojima, M. Takasawa

研究成果: Article査読

9 被引用数 (Scopus)

抄録

We discuss a comparison of the entropy of pseudo-Anosovmaps and the volume of their mapping tori. Recent study of the Weil– Petersson geometry of Teichmüller space tells us that the entropy and volume admit linear inequalities for both directions under some bounded geometry condition. Based on experiments, we present various observations on the relation between minimal entropies and volumes, and on bounding constants for the entropy over the volume from below. We also provide explicit bounding constants for a punctured torus case.

本文言語English
ページ(範囲)397-407
ページ数11
ジャーナルExperimental Mathematics
18
4
DOI
出版ステータスPublished - 2009
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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