Add to ORKGFor any rank 1 nonpositively curved surface $M$, it was proved by Burns-Climenhaga-Fisher-Thompson that for any $q<1$, there exists a unique equilibrium state $\mu_q$ for $q\varphi^u$, where $\varphi^u$ is the geometric potential. We show that as $q\to 1-$, the weak$^*$ limit of $\mu_q$ is the restriction of the Liouville measure to the regular set
The ideal boundary of a negatively curved manifold naturally carries two types of measures. On the o...
We study the time-dependent Schrödinger equation $ \imath\frac{\partial u}{\partial t}=-\frac{1}{2}\...
34 pages, 4 figures. In this new version we have improved the organization of the paper and the clar...
We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surf...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
20 pages. This note provides a detailed proof of a result announced in appendix A of a previous work...
To a great extent, rigidity theory is the study of boundaries of semisimple groups. Here we investig...
AbstractLet A⊂Rd, d⩾2, be a compact convex set and let μ=ϱ0dx be a probability measure on A equivale...
MT was partially supported by NSF Grants DMS 0606343 and DMS 0908093.Fibonacci unimodal maps can hav...
In the study of surfaces and closed geodesics an important characteristic is the topological entropy...
In this paper we study a class of PDE which gives a generalization of a curvature flow of graphs on...
We study the new geometric flow that was introduced in [11] that evolves a pair of map and (domain) ...
We introduce a notion of uniform convergence for local and nonlocal curvatures. Then, we propose an ...
We consider some singular Liouville equations and systems motivated by uniformization problems in a ...
In this work, we study the properties satisfied by the probability measures invariant by the geodesi...
The ideal boundary of a negatively curved manifold naturally carries two types of measures. On the o...
We study the time-dependent Schrödinger equation $ \imath\frac{\partial u}{\partial t}=-\frac{1}{2}\...
34 pages, 4 figures. In this new version we have improved the organization of the paper and the clar...
We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surf...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
20 pages. This note provides a detailed proof of a result announced in appendix A of a previous work...
To a great extent, rigidity theory is the study of boundaries of semisimple groups. Here we investig...
AbstractLet A⊂Rd, d⩾2, be a compact convex set and let μ=ϱ0dx be a probability measure on A equivale...
MT was partially supported by NSF Grants DMS 0606343 and DMS 0908093.Fibonacci unimodal maps can hav...
In the study of surfaces and closed geodesics an important characteristic is the topological entropy...
In this paper we study a class of PDE which gives a generalization of a curvature flow of graphs on...
We study the new geometric flow that was introduced in [11] that evolves a pair of map and (domain) ...
We introduce a notion of uniform convergence for local and nonlocal curvatures. Then, we propose an ...
We consider some singular Liouville equations and systems motivated by uniformization problems in a ...
In this work, we study the properties satisfied by the probability measures invariant by the geodesi...
The ideal boundary of a negatively curved manifold naturally carries two types of measures. On the o...
We study the time-dependent Schrödinger equation $ \imath\frac{\partial u}{\partial t}=-\frac{1}{2}\...
34 pages, 4 figures. In this new version we have improved the organization of the paper and the clar...