12 citations · 34 across the 15 of their papers we have counts for
19 papers
Unique equilibrium states for geodesic flows on flat surfaces with singularities
Benjamin Call, David Constantine, Alena Erchenko +2
Consider a compact surface of genus equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than . Following the techniq…
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…
Strong symbolic dynamics for geodesic flow on CAT(-1) spaces and other metric Anosov flows
David Constantine, Jean-François Lafont, Daniel J. Thompson
We prove that the geodesic flow on a locally CAT(-1) metric space which is compact, or more generally convex cocompact with non-elementary fundamental group, can be coded by a susp…
A quantitative shrinking target result on Sturmian sequences for rotations
Jon Chaika, David Constantine
Let be an irrational rotation of the circle, and code the orbit of any point by whether belongs to or -- this produces a Sturmian sequence. A p…
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…
Everywhere divergence of the one-sided ergodic Hilbert transform and Liouville numbers
David Constantine, Joanna Furno
We prove some results on the behavior of infinite sums of the form , where is an irrational circle rotation and is a mean-zero functio…