17 citations · 17 across the 4 of their papers we have counts for
5 papers
Riesz operators and some spherical representations for hyperbolic groups
Adrien Boyer, Jean-Claude Picaud
We introduce the Riesz operator in the context of Gromov hyperbolic groups in order to investigate a one parameter family of non unitary boundary Hilbertian representations of hype…
Ergodic geometry for non-elementary rank one manifolds
Gabriele Link, Jean-Claude Picaud
Let be a Hadamard manifold, and a non-elementary discrete group of isometries of which contains a rank one isometry. We relate the ergodic theory of the geodesic flow o…
Convergence and Counting in Infinite Measure
Françoise Dal'bo, Marc Peigné, Jean-Claude Picaud +1
We construct convergent and divergent lattices in negative curvature and give a precise asymptotic description of the behavior of their counting function.
Asymptotic geometry of negatively curved manifolds of finite volume
F. Dal'Bo, M. Peigné, J. C. Picaud +1
We study the asymptotic behaviour of simply connected, Riemannian manifolds of strictly negative curvature admitting a non-uniform lattice . If the quotient manifold $\bar X…
On the growth of nonuniform lattices in pinched negatively curved manifolds
Françoise Dal'Bo, Marc Peigné, Jean-Claude Picaud +1
We study the relation between the exponential growth rate of volume in a pinched negatively curved manifold and the critical exponent of its lattices. These objects have a long and…