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.DS2025
Thermodynamic formalism for non-uniform systems with controlled specification and entropy expansiveness
Tianyu Wang, Weisheng Wu
We study thermodynamic formalism of dynamical systems with non-uniform structure. Precisely, we obtain the uniqueness of equilibrium states for a family of non-uniformly expansive…