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This article is available for purchase or by subscription. See below.
Abstract
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Consider the problem of estimating the minimum entropy of pseudo-Anosov maps on a surface
of genus
with
punctures. We determine the behavior of this minimum number for a certain large subset
of the
plane, up to a multiplicative constant. In particular, we show that for fixed
, this minimum
value behaves as
,
proving what Penner speculated in 1991.
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Keywords
pseudo-Anosov, entropy, stretch factor, dilatation,
punctured surfaces
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Mathematical Subject Classification 2010
Primary: 37B40, 37E30
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Publication
Received: 30 April 2019
Revised: 2 October 2019
Accepted: 16 October 2019
Published: 20 July 2020
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