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18 papers · 1 filter
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…
How to hear the shape of a billiard table
Aaron Calderon, Solly Coles, Diana Davis +2
The bounce spectrum of a polygonal billiard table is the collection of all bi-infinite sequences of edge labels corresponding to billiard trajectories on the table. We give methods…
Fat flats in rank one manifolds
D. Constantine, J. -F. Lafont, D. B. McReynolds +1
We study closed non-positively curved Riemannian manifolds which admit `fat -flats': that is, the universal cover contains a positive radius neighborhood of a …
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…
Higher cohomology of parabolic actions on certain homogeneous spaces
Felipe A. Ramirez
We show that for a parabolic R^d-action on a compact quotient of PSL(2,R)^d, the cohomologies in degrees 1 through d-1 trivialize, and we give the obstructions to solving the degre…
Necessary and sufficient conditions for a dynamical system to be topologically conjugate to a given substitution minimal system
Ethan M. Coven, Andrew Dykstra, Michael Keane +1
We find necessary and sufficient conditions for a dynamical system to be topologically conjugate to any given substitution minimal system, thus extending the results in [CKL] for t…