Harrison BrayDepartment of Mathematics
University of Michigan
E-mail: hbray [at] umich [dot] edu
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My research interests are in dynamics, geometry, and topology. I think about the interactions among:
- geodesic flows (Besson-Courtois-Gallot rigidity, Patterson-Sullivan theory and applications)
- ergodic theory (measure of maximal entropy, SRB measure, thermodynamic formalism)
- geometric structures (convex projective structures, Hilbert geometry, rank one geometry)
Preprints and Papers
- The Shape of Thurston's Master Teapot. Joint with D. Davis, K. Lindsey, and C. Wu
- Ergodicity of Bowen-Margulis measure for the Benoist 3-manifolds.
submitted [arXiv] [extended version]
- Geodesic flow of nonstrictly convex Hilbert geometries.
- Entropy rigidity and Hilbert volume.
Joint with I. Adeboye and D. Constantine
Discrete Contin. Dyn. Syst. Ser. A (2019) no. 39(4): 1731-1744. doi: 10.3934\/dcds.2019075.
ExpositionSlides from my talk at the conference Dynamics of Group Actions, a conference in honor of Yves Benoist are available here.