21 citations · 24 across the 6 of their papers we have counts for
6 papers
Minimal distance between random orbits
Sébastien Gouëzel, Jérôme Rousseau, Manuel Stadlbauer
We study the minimal distance between two orbit segments of length n, in a random dynamical system with sufficiently good mixing properties. This problem has already been solved in…
Exponential bounds for random walks on hyperbolic spaces without moment conditions
Sébastien Gouëzel
We consider nonelementary random walks on general hyperbolic spaces. Without any moment condition on the walk, we show that it escapes linearly to infinity, with exponential error…
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…
Quantitative Pesin theory for Anosov diffeomorphisms and flows
Sébastien Gouëzel, Luchezar Stoyanov
Pesin sets are measurable sets along which the behavior of a matrix cocycle above a measure preserving dynamical system is explicitly controlled. In uniformly hyper-bolic dynamics,…
Large and moderate deviations for bounded functions of slowly mixing markov chains
J Dedecker, Sébastien Gouëzel, F Merlevède
We consider Markov chains which are polynomially mixing, in a weak sense expressed in terms of the space of functions on which the mixing speed is controlled. In this context, we p…
Uniform measures on braid monoids and dual braid monoids
Samy Abbes, Sébastien Gouëzel, Vincent Jugé +1
We aim at studying the asymptotic properties of typical positive braids, respectively positive dual braids. Denoting by the uniform distribution on positive (dual) braids of…