Harrison BrayDepartment of Mathematics
University of Michigan
E-mail: brays [at] umich [dot] edu
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My research interests are in dynamical systems and geometric structures. More specifically, I am interested in nonpositive curvature, non-Riemannian geometries, deformation spaces of geometric structures, ergodic theory, and thermodynamic formalism. My thesis is a comprehensive case study of the geodesic flow of non-Riemannian Hilbert geometries in three dimensions which admit a nontrivial JSJ decomposition.
- Entropy rigidity and Hilbert volume (with I. Adeboye and D. Constantine), submitted.
- Ergodicity of Bowen-Margulis measure for the Benoist 3-manifolds submitted, extended version.
- Geodesic flow of nonstrictly convex Hilbert geometries (preprint, available on request).