12 citations · 34 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
The weak specification property for geodesic flows on CAT(-1) spaces
David Constantine, Jean-François Lafont, Daniel J. Thompson
We prove that the geodesic flow on a compact locally CAT(-1) space has the weak specification property, and give various applications. We show that every Hölder potential on the sp…
Quantitative shrinking target properties for rotations and interval exchanges
Jon Chaika, David Constantine
This paper presents quantitative shrinking target results for rotations and interval exchange transformations. To do this a quantitative version of a unique ergodicity criterion of…