20 citations · 25 across the 6 of their papers we have counts for
8 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…
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…
Sharp lower bounds for the asymptotic entropy of symmetric random walks
Sébastien Gouëzel, Frédéric Mathéus, François Maucourant
The entropy, the spectral radius and the drift are important numerical quantities associated to random walks on countable groups. We prove sharp inequalities relating those quantit…
Poisson boundary of groups acting on real trees
François Gautero, Frédéric Mathéus
We give a geometric description of the Poisson boundaries of certain extensions of free and hyperbolic groups. In particular, we get a full description of the Poisson boundaries of…
Randomly growing braid on three strands and the manta ray
Jean Mairesse, Frédéric Mathéus
Consider the braid group and the nearest neighbor random walk defined by a probability with support . The rate of escape of the wal…
Appendix to the paper "Randomly Growing Braid on Three Strands and the Manta Ray"
Jean Mairesse, Frédéric Mathéus
This paper is an appendix to the paper ``Randomly Growing Braid on Three Strands and the Manta Ray'' by J. Mairesse and F. Mathéus (to appear in the Annals of Applied Probability).…
Random walks on free products of cyclic groups
Jean Mairesse, Frédéric Mathéus
Let G be a free product of a finite family of finite groups, with the set of generators being formed by the union of the finite groups. We consider a transient nearest-neighbour ra…
Appendix to the paper "Random walks on free products of cyclic groups"
Jean Mairesse, Frédéric Mathéus
This paper is an appendix to the paper "Random walks on free products of cyclic groups" by J.Mairesse and F.Mathéus. It contains the details of the computations and the proofs of t…