8 citations · 21 across the 7 of their papers we have counts for
9 papers
Contact Graphs, Boundaries, and a Central Limit Theorem for CAT(0) cubical complexes
Talia Fernós, Jean Lécureux, Frédéric Mathéus
Let be a nonelementary CAT(0) cubical complex. We prove that if is essential and irreducible, then the contact graph of (introduced in \cite{Hagen}) is unbounded and it…
Strong Property (T), weak amenability and -cohomology in -buildings
Jean Lécureux, Mikael de la Salle, Stefan Witzel
We prove that cocompact (and more generally: undistorted) lattices on -buildings satisfy Lafforgue's strong property (T), thus exhibiting the first examples that are n…
Proper proximality in non-positive curvature
Camille Horbez, Jingyin Huang, Jean Lécureux
Proper proximality of a countable group is a notion that was introduced by Boutonnet, Ioana and Peterson as a tool to study rigidity properties of certain von Neumann algebras asso…
Tangent bundles of hyperbolic spaces and proper affine actions on spaces
Indira Chatterji, François Dahmani, Thomas Haettel +1
We define the notion of a negatively curved tangent bundle of a metric measured space. We prove that, when a group acts on a metric measured space with a negatively curved…
Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces
Bruno Duchesne, Jean Lécureux, Maria Beatrice Pozzetti
We define a Toledo number for actions of surface groups and complex hyperbolic lattices on infinite dimensional Hermitian symmetric spaces, which allows us to define maximal repres…
Random Walks and Boundaries of CAT(0) Cubical complexes
Talia Fernós, Jean Lécureux, Fréderic Mathéus
We show under weak hypotheses that the pushforward of a random-walk to a CAT(0) cube complex converges to a point on the boundary. We introduce the notion of squeezing p…
On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
Uri Bader, Pierre-Emmanuel Caprace, Jean Lécureux
Let be a locally finite irreducible affine building of dimension and be a discrete group acting cocompactly. The goal of this paper is to addre…
Almost algebraic actions of algebraic groups and applications to algebraic representations
Uri Bader, Bruno Duchesne, Jean Lécureux
Let G be an algebraic group over a complete separable valued field k. We discuss the dynamics of the G-action on spaces of probability measures on algebraic G-varieties. We show th…
Furstenberg Maps For CAT(0) Targets Of Finite Telescopic Dimension
Uri Bader, Bruno Duchesne, Jean Lécureux
We consider actions of locally compact groups on certain CAT(0) spaces by isometries. The CAT(0) spaces we consider have finite dimension at large scale. In case is a $…