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20132025
most citedOn the Patterson-Sullivan measure for geodesic flows on rank manifolds without focal points

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math.DS2025

Patterson-Sullivan construction of equilibrium states and weighted counting in nonpositive curvature

Weisheng Wu

Consider the geodesic flow on a closed rank one manifold of nonpositive curvature. For certain Hölder continuous potential, there exists a unique equilibrium state by \cite{BCFT}.…