145 citations · 1.2k across the 85 of their papers we have counts for
26 papers · 1 filter
Random walks on hyperbolic spaces: second order expansion of the rate function at the drift
Richard Aoun, Pierre Mathieu, Cagri Sert
Let be a geodesic Gromov-hyperbolic space, a basepoint and a countably supported non-elementary probability measure on . Denote by $z_…
Large deviations for random walks on Gromov-hyperbolic spaces
Adrien Boulanger, Pierre Mathieu, Cagri Sert +1
Let be a countable group acting on a geodesic Gromov-hyperbolic metric space and a probability measure on whose support generates a non-elementary subsemigroup. Und…
Large deviations and rate of escape for hyperbolic random walks
Adrien Boulanger, Pierre Mathieu
Let be a countable group acting on a geodesic hyperbolic metric space and a probability measure on which generates a non elementary semi-group. Under the necessary…
Besov spaces and random walks on a hyperbolic group: boundary traces and reflecting extensions of Dirichlet forms
Pierre Mathieu, Yuki Tokushige
We show the existence of a trace process at infinity for random walks on hyperbolic groups of conformal dimension < 2 and relate it to the existence of a reflecting random walk. To…
Singular weighted Sobolev spaces and diffusion processes: an example (due to V.V. Zhikov)
Alberto Chiarini, Pierre Mathieu
We consider the Sobolev space over of square integrable functions whose gradient is also square integrable with respect to some positive weight. Tt is well known tha…
Steady states, fluctuation-dissipation theorems and homogenization for diffusions in a random environment with finite range of dependence
Pierre Mathieu, Andrey Piatnitski
Prolongating our previous paper on the Einstein relation, we study the motion of a particle diffusing in a random reversible environment when subject to a small external forcing. I…