Teichmüller Space, Dynamics, Probability

Howard Masur
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Howard Masur: University of Illinois at Chicago

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 836-849 from Springer

Abstract: Abstract There are two rather separate sections to this paper. In the first part we indicate how the geometry of Teichmüller space and moduli space can be used to study the dynamics of rational billiards and more generally the dynamics of foliations defined by flat structures or quadratic differentials. In the second part of the paper we study random walks on the mapping class group of a surface and on Teichmüller space and show how the sphere of foliations defined by Thurston can be realized as the boundary of the random walks.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_77

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DOI: 10.1007/978-3-0348-9078-6_77

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