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

2 citations · 8 across the 8 of their papers we have counts for

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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}.…

math.DS2024★ 1 cited

On ergodic properties of geodesic flows on uniform visibility manifolds without conjugate points

Weisheng Wu

In this paper, we conduct a comprehensive study on ergodic properties of the geodesic flow on a uniform visibility manifold without conjugate points. If is a clo…

math.DS2021★ 2 cited

On the continuity of topological entropy of certain partially hyperbolic diffeomorphisms

Weisheng Wu

In this paper, we consider certain partially hyperbolic diffeomorphisms with center of arbitrary dimension and obtain continuity properties of the topological entropy under p…

math.DS2021

Volume asymptotics and Margulis function in nonpositive curvature

Weisheng Wu

In this article, we consider a closed rank one Riemannian manifold of nonpositive curvature and its universal cover . Let be the Riemannian volume of the…

math.DS2021★ 1 cited

Counting closed geodesics on rank one manifolds without focal points

Weisheng Wu

In this article, we consider a closed rank one Riemannian manifold without focal points. Let be the set of free-homotopy classes containing a closed geodesic on with…

math.DS2018★ 1 cited

On the ergodicity of geodesic flows on surfaces without focal points

Weisheng Wu, Fei Liu, Fang Wang

In this article, we study the ergodicity of the geodesic flows on surfaces with no focal points. Let be a smooth connected and closed surface equipped with a Riemann…

math.DS2018★ 2 cited

On the Patterson-Sullivan measure for geodesic flows on rank manifolds without focal points

Fei Liu, Fang Wang, Weisheng Wu

In this article, we consider the geodesic flow on a compact rank Riemannian manifold without focal points, whose universal cover is denoted by . On the ideal boundary $X…

math.DS2013★ 1 cited

On the ergodicity of geodesic flows on surfaces of nonpositive curvature

Weisheng Wu

Let be a smooth compact surface of nonpositive curvature, with genus . We prove the ergodicity of the geodesic flow on the unit tangent bundle of with respect to th…