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math.PR2025
Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
This article aims at a proper definition and resolution of the parabolic Anderson model on Heisenberg groups . This stochastic PDE is understood in a pathwise (Stra…
math.PR2024
Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds
Fabrice Baudoin, Hongyi Chen, Cheng Ouyang
We study the effect of curvature on the Parabolic Anderson model by posing it over a Cartan-Hadamard manifold. We first construct a family of noises white in time and colored in sp…
math.PR2011★ 1 cited
Upper bounds for the density of solutions of stochastic differential equations driven by fractional Brownian motions
Fabrice Baudoin, Cheng Ouyang, Samy Tindel
In this paper we study upper bounds for the density of solution of stochastic differential equations driven by a fractional Brownian motion with Hurst parameter H > 1/3. We show th…