Entropy versus volume for pseudo-anosovs

E. Kin, Sadayoshi Kojima, M. Takasawa

研究成果: Article

8 引用 (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.

元の言語English
ページ(範囲)397-407
ページ数11
ジャーナルExperimental Mathematics
18
発行部数4
DOI
出版物ステータスPublished - 2009 1 1
外部発表Yes

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Entropy
Torus
Linear Inequalities
Experiment

ASJC Scopus subject areas

  • Mathematics(all)

これを引用

Entropy versus volume for pseudo-anosovs. / Kin, E.; Kojima, Sadayoshi; Takasawa, M.

:: Experimental Mathematics, 巻 18, 番号 4, 01.01.2009, p. 397-407.

研究成果: Article

Kin, E. ; Kojima, Sadayoshi ; Takasawa, M. / Entropy versus volume for pseudo-anosovs. :: Experimental Mathematics. 2009 ; 巻 18, 番号 4. pp. 397-407.
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