Harrison Bray

Department of Mathematics
University of Michigan
E-mail: hbray [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.


  1. Entropy rigidity and Hilbert volume (with I. Adeboye and D. Constantine), submitted.
  2. Ergodicity of Bowen-Margulis measure for the Benoist 3-manifolds submitted, extended version.
  3. Geodesic flow of nonstrictly convex Hilbert geometries, submitted.