Nonuniform hyperbolicity in Hilbert geometries

Bray, Sarah.
2017-04-19T18:05:57.153Z

Abstract: This thesis is a comprehensive case study of the topological dynamics, asymptotic geometry, and ergodic theory for the geodesic flow of a class of 3-manifolds which have a non-Riemannian and nonuniformly hyperbolic geometric structure. These 3-manifolds arise as Hilbert geometries, and they were discovered by Benoist. The geometric structure forces irregularity of the geodesic flow. In p... read more

Subjects
Tufts University. Department of Mathematics.
Permanent URL
http://hdl.handle.net/10427/011708
ID: tufts:21183
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