10 citations · 17 across the 12 of their papers we have counts for
12 papers
Exotic local limit theorems at the phase transition in free products
Matthieu Dussaule, Marc Peigné, Samuel Tapie
We construct random walks on free products of the form Z 3 * Z d , with d = 5 or 6 which are divergent and not spectrally positive recurrent. We then derive a local limit theorem f…
A local limit theorem for convergent random walks on relatively hyperbolic groups
Matthieu Dussaule, Marc Peigné, Samuel Tapie
We study random walks on relatively hyperbolic groups whose law is convergent, in the sense that the derivative of its Green function is finite at the spectral radius.When paraboli…
Pressure at infinity and strong positive recurrence in negative curvature
Sébastien Gouëzel, Camille Noûs, Barbara Schapira +2
In the context of geodesic flows of noncompact negatively curved manifolds, we propose three different definitions of entropy and pressure at infinity, through growth of periodic o…
Critical exponents of normal subgroups in higher rank
Olivier Glorieux, Samuel Tapie
We study the critical exponents of discrete subgroups of a higher rank semi-simple real linear Lie group . Let us fix a Cartan subspace of the L…
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…
Twisted Patterson-Sullivan measures and applications to amenability and coverings
Rémi Coulon, Rhiannon Dougall, Barbara Schapira +1
Let be two discrete groups acting properly by isometries on a Gromov-hyperbolic space . We prove that their critical exponents coincide if and only if is co-amenable…
weights and compactness of conformal metrics under curvature bounds
Clara L. Aldana, Gilles Carron, Samuel Tapie
We study sequences of conformal deformations of a smooth closed Riemannian manifold of dimension , assuming uniform volume bounds and bounds on their scalar curvatures…
Regularity of entropy, geodesic currents and entropy at infinity
Barbara Schapira, Samuel Tapie
In this work, we introduce the notion of entropy at infinity, and define a wide class of noncompact manifolds with negative curvature, those which admit a critical gap between entr…
Discrete geometry and isotropic surfaces
François Jauberteau, Yann Rollin, Samuel Tapie
We consider smooth isotropic immersions from the 2-dimensional torus into , for . When the image of such map is an immersed Lagrangian torus of . We…
Counting for some convergent groups
Marc Peigné, Samuel Tapie, Pierre Vidotto
We present examples of geometrically finite manifolds with pinched negative curvature, whose geodesic flow has infinite non-ergodic Bowen-Margulis measure and whose Poincaré series…
Dynamics and zeta functions on conformally compact manifolds
Julie Rowlett, Pablo Suárez-Serrato, Samuel Tapie
In this note, we study the dynamics and associated zeta functions of conformally compact manifolds with variable negative sectional curvatures. We begin with a discussion of a larg…
Generic metrics, eigenfunctions and riemannian coverings of non compact manifolds
Samuel Tapie
Let be a non-compact riemannian -manifold with bounded geometry at order . We show that if the spectrum of the Laplacian starts with discrete eig…