5 citations · 13 across the 10 of their papers we have counts for
11 papers
Geodesic Lévy flights on Zoll surfaces
Yann Chaubet, Emanuel József Godfried, Leo Tzou
We study the mean first capture time of isotropic Lévy flights on Zoll surfaces, namely the expected time for a geodesic Lévy process to reach a shrinking geodesic ball. While the…
Minimax spectral estimation of weighted Laplace operators
Yann Chaubet, Vincent Divol
Given i.i.d. observations, we study the problem of estimating the spectrum of weighted Laplace operators of the form , where is a positiv…
Nonlinear chaotic Vlasov equations
Yann Chaubet, Daniel Han-Kwan, Gabriel Rivière
In this article, we study nonlinear Vlasov equations with a smooth interaction kernel on a compact manifold without boundary where the geodesic flow exhibits strong chaotic behavio…
Combinatorial zeta functions counting triangles
Léo Bénard, Yann Chaubet, Nguyen Viet Dang +1
In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n-1)-skeleton of a triangulation of a n-dimensional manifold. We sh…
Geodesic Lévy flights and expected stopping time for random searches
Yann Chaubet, Yannick Guedes Bonthonneau, Thibault Lefeuvre +1
We give an analytic description for the infinitesimal generator constructed by Applebaum-Estrade for Lévy flights on a broad class of closed Riemannian manifolds including all nega…
Resolvent of vector fields and Lefschetz numbers
Yann Chaubet, Yannick Guedes Bonthonneau
Dynamical series such as the Ruelle zeta function have become a staple in the study of hyperbolic flows. They are usually analyzed by relating them to the resolvent of the vector f…
Dynamical zeta functions for billiards
Yann Chaubet, Vesselin Petkov
Let be the union of a finite collection of pairwise disjoint strictly convex compact obstacles. Let $μ_j \in {\mathbb C},\: {\rm Im}\: μ…
Closed billiard trajectories with prescribed bounces
Yann Chaubet
We give the asymptotic growth of the number of primitive periodic trajectories of a two dimensional dispersive billiard, when we prescribe their number of bounces on one of the obs…
Poincaré series for surfaces with boundary
Yann Chaubet
We show that the Poincaré series counting orthogeodesics of a negatively curved surface with totally geodesic boundary extends meromorphically to the whole complex plane, as well a…
Closed geodesics with prescribed intersection numbers
Yann Chaubet
Let be a closed, oriented, negatively curved surface, and fix pairwise disjoint simple closed geodesics . We give an asymptotic growth as…
Dynamical torsion for contact Anosov flows
Yann Chaubet, Nguyen Viet Dang
We introduce a new object, the dynamical torsion, which extends the potentially ill-defined value at of the Ruelle zeta function of a contact Anosov flow twisted by an acyclic…