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math.DS2022
A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature
Keith Burns, Dong Chen
For any rank 1 nonpositively curved surface , it was proved by Burns-Climenhaga-Fisher-Thompson that for any , there exists a unique equilibrium state for , whe…
math.DS2022
Pressure gaps, geometric potentials, and nonpositively curved manifolds
Dong Chen, Lien-Yung Kao, Kiho Park
In this paper, we derive a general pressure gap criterion for closed rank 1 manifolds whose singular sets are given by codimension 1 totally geodesic flat subtori. As an applicatio…