4 papers
Entropy rigidity for finite volume strictly convex projective manifolds
Harrison Bray, David Constantine
We prove entropy rigidity for finite volume strictly convex projective manifolds in dimensions , generalizing the work of arXiv:1708.03983 to the finite volume setting. The…
The Shape of Thurston's Master Teapot
Harrison Bray, Diana Davis, Kathryn Lindsey +1
We establish basic geometric and topological properties of Thurston's Master Teapot and the Thurston set for superattracting unimodal self-maps of intervals. In particular, the Mas…
Geodesic flow of nonstrictly convex Hilbert geometries
Harrison Bray
In this paper we describe the topological behavior of the geodesic flow for a class of closed 3-manifolds realized as quotients of nonstrictly convex Hilbert geometries, constructe…
Entropy Rigidity and Hilbert Volume
Ilesanmi Adeboye, Harrison Bray, David Constantine
For a closed, strictly convex projective manifold of dimension that admits a hyperbolic structure, we show that the ratio of Hilbert volume to hyperbolic volume is bounde…