241 citations
- Université de RennesFR519 papers
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5 papers · 2 filters
Revisiting the asymptotics of the flow for some dynamical systems on the torus
Marc Briane, Loïc Hervé
In this paper we study the large time asymptotics of the flow of a dynamical system posed in the -dimensional torus. Rather than using the classical unique ergodicity…
Phase transition of capacity for the uniform -sets
Victor Kleptsyn, Fernando Quintino
We consider a family of dense subsets of , defined as intersections of unions of small uniformly distributed intervals, and study their capacity. Changing the speed at…
Narrow equidistribution and counting of closed geodesics on noncompact manifolds
Barbara Schapira, Samuel Tapie
We prove the equidistribution of (weighted) periodic orbits of the geodesic ow on noncompact negatively curved manifolds toward equilibrium states in the narrow topology, i.e. in t…
Trees and flowers on a billiard table
Olga Paris-Romaskevich
In this work we completely describe the dynamics of triangle tiling billiards. In the first part of this work, we propose a geometric approach of dynamics by introducing natural fo…
The existence of Zariski dense orbits for endomorphisms of projective surfaces (with an appendix in collaboration with Thomas Tucker)
Junyi Xie
In this paper we prove the following theorem. Let be a dominant endomorphism of a smooth projective surface over an algebraically closed field of characteristic . If there i…