Entropy vs volume for pseudo-Anosov maps

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dc.creatorKin, Eiko
dc.creatorKojima, Sadayoshi
dc.creatorTakasawa, Mitsuhiko
dc.date2008-12-15
dc.date.accessioned2026-07-07T12:13:00Z
dc.date.available2026-07-07T12:13:00Z
dc.descriptionWe will discuss theoretical and experimental results concerning comparison of entropy of pseudo-Anosov maps and volume of their mapping tori. Recent study of Weil-Petersson geometry of the Teichmüller space tells us that they admit linear inequalities for both sides under some bounded geometry condition. We construct a family of pseudo-Anosov maps which violates one side of inequalities under unbounded geometry setting, present an explicit bounding constant for a punctured torus, and provide several observations based on experiments.
dc.description16 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/0812.2941
dc.identifierhttp://arxiv.org/abs/0812.2941
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210733
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject37E30, 57M27, 57M55
dc.titleEntropy vs volume for pseudo-Anosov maps
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