Dissertation/Thesis Abstract

Dynamics of convex cocompact subgroups of mapping class groups
by Gekhtman, Ilya, Ph.D., The University of Chicago, 2014, 74; 3628078
Abstract (Summary)

Given a convex cocompact subgroup G < Mod(S), and points x, y Teich(S) we obtain asymptotic formulas as R → ∞ 1 of |BR(|x ) [special character omitted] Gy| as well as the number of conjugacy classes of pseudo-Anosov elements in G of dilatation at most R. We do this by developing an analogue of Patterson-Sullivan theory for the action of G on PMF.

Indexing (document details)
Advisor: Eskin, Alex
Commitee: Eskin, Alex, Masur, Howard
School: The University of Chicago
Department: Mathematics
School Location: United States -- Illinois
Source: DAI-B 75/11(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Bowen-margulis, Mapping class group, Mixing, Moduli space, Orbit growth, Patterson-sullivan
Publication Number: 3628078
ISBN: 978-1-321-03599-5
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