Constructing pseudo-Anosov maps with given dilatations

被引：0
|
作者：
Hyungryul Baik
Ahmad Rafiqi
Chenxi Wu
机构：
[1] Rheinische Friedrich-Wilhelms-Universität Bonn,Mathematisches Institut
[2] Cornell University,Department of Mathematics
[3] Cornell University,Department of Mathematics
来源：
Geometriae Dedicata | 2016年 / 180卷
关键词：
Pseudo-Anosov; Dilatation; Perron; 37B40; 37E30; 54H20;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we give sufficient conditions for a Perron number, given as the leading eigenvalue of an aperiodic matrix, to be a pseudo-Anosov dilatation of a compact surface. We give an explicit construction of the surface and the map when the sufficient condition is met.
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页码：39 / 48
页数：9
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