S. Tapie

activity

20172020

collaborators

6 papers

math.DG2020

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 $G$ . Let us fix a Cartan subspace $a \subset g$ of the L…

math.DS2019

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…

math.GR2018

Twisted Patterson-Sullivan measures and applications to amenability and coverings

Rémi Coulon, Rhiannon Dougall, Barbara Schapira +1

Let $Γ^{'} < Γ$ be two discrete groups acting properly by isometries on a Gromov-hyperbolic space $X$ . We prove that their critical exponents coincide if and only if $Γ^{'}$ is co-amenable…

math.DS2018

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…

math.DG2018

Discrete geometry and isotropic surfaces

François Jauberteau, Yann Rollin, Samuel Tapie

We consider smooth isotropic immersions from the 2-dimensional torus into $R^{2 n}$ , for $n \geq 2$ . When $n = 2$ the image of such map is an immersed Lagrangian torus of $R^{4}$ . We…

math.DS2017

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…