145 citations · 1.2k across the 85 of their papers we have counts for
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math.PR2018
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…
math.PR2018
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…