108 citations · 389 across the 75 of their papers we have counts for
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The subelliptic heat kernels of the quaternionic Hopf fibration
Fabrice Baudoin, Jing Wang
The main goal of this work is to study the sub-Laplacian of the unit sphere which is obtained by lifting with respect to the Hopf fibration the Laplacian of the quaternionic projec…
Trace asymptotics for subordinate semigroups
Rodrigo Bañuelos, Fabrice Baudoin
We address a conjecture of D. Applebaum on small time trace asymptotics for subordinate Brownian motion on compact manifolds.
Bakry-Emery meet Villani
Fabrice Baudoin
We revisit Villani's approach to the study of hypocoercive diffusion operators by applying a variant of the Bakry-Émery machinery. The method relies on a generalized Bakry-Émery ty…
Varadhan Estimates for rough differential equations driven by fractional Brownian motions
Fabrice Baudoin, Cheng Ouyang, Xuejing Zhang
In this work we study rough differential equations driven by a fractional Brownian motion with Hurst parameter H>1/4 and establish Varadhan's small time estimates for the density o…
Smoothing effect of rough differential equations driven by fractional Brownian motions
Fabrice Baudoin, Cheng Ouyang, Xuejing Zhang
In this work we study the smoothing effect of rough differential equations driven by a fractional Brownian motion with parameter . The regularization estimates we obtain gen…