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math.PR2026
Large time behaviour for the semigroup of the kinetic Brownian motion in the plane
Magalie Bénéfice, Michel Bonnefont, Marc Arnaudon +1
We establish an integration by parts formula for the semi-group in time of the kinetic Brownian motion in the Euclidean plane together with its speed in the circle. The sto…
math.PR2024
A coupling strategy for Brownian motions at fixed time on Carnot groups using Legendre expansion
Marc Arnaudon, Magalie Bénéfice, Michel Bonnefont +1
We propose a new simple construction of a coupling at a fixed time of two sub-Riemannian Brownian motions on the Heisenberg group and on the free step 2 Carnot groups. The construc…