2 papers
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
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…