We study geodesic flows over compact rank 1 manifolds and prove that sufficiently regular
potential functions have unique equilibrium states if the singular set does not carry full …

We prove that for closed surfaces M with Riemannian metrics without conjugate points and
genus≥ 2 the geodesic flow on the unit tangent bundle T 1 M has a unique measure of …

We show that C^∞-surface diffeomorphisms with positive topological entropy have finitely
many ergodic measures of maximal entropy in general, and exactly one in the topologically …

We study thermodynamic formalism for the family of robustly transitive diffeomorphisms
introduced by Mañé, establishing existence and uniqueness of equilibrium states for natural …

We consider the uniqueness of equilibrium states for dynamical systems that satisfy certain
weak, non-uniform versions of specification, expansivity, and the Bowen property at a fixed …

We show that the robustly transitive diffeomorphisms constructed by Bonatti and Viana have
unique equilibrium states for natural classes of potentials. In particular, we characterize the …

In this paper, we study dynamics of geodesic flows over closed surfaces of genus greater
than or equal to 2 without focal points. Especially, we prove that there is a large class of …

We use a weak Gibbs property and a weak form of specification to derive level-2 large
deviations principles for symbolic systems equipped with a large class of reference …

In this paper we show that a geodesic flow of a compact surface without conjugate points of
genus greater than one is time-preserving semi-conjugate to a continuous expansive flow …

We construct symbolic dynamics for three dimensional flows with positive speed. More
precisely, for each $\chi> 0$, we code a set of full measure for every invariant probability …