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2020 Pseudo-Anosov maps with small stretch factors on punctured surfaces
Mehdi Yazdi
Algebr. Geom. Topol. 20(4): 2095-2128 (2020). DOI: 10.2140/agt.2020.20.2095

Abstract

Consider the problem of estimating the minimum entropy of pseudo-Anosov maps on a surface of genus g with n punctures. We determine the behavior of this minimum number for a certain large subset of the (g,n) plane, up to a multiplicative constant. In particular, we show that for fixed n, this minimum value behaves as 1g, proving what Penner speculated in 1991.

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Mehdi Yazdi. "Pseudo-Anosov maps with small stretch factors on punctured surfaces." Algebr. Geom. Topol. 20 (4) 2095 - 2128, 2020. https://doi.org/10.2140/agt.2020.20.2095

Information

Received: 30 April 2019; Revised: 2 October 2019; Accepted: 16 October 2019; Published: 2020
First available in Project Euclid: 1 August 2020

zbMATH: 07226712
MathSciNet: MR4127091
Digital Object Identifier: 10.2140/agt.2020.20.2095

Subjects:
Primary: 37B40, 37E30

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 4 • 2020
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