108 citations · 225 across the 17 of their papers we have counts for
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math.DG2009
Perelman's entropy and doubling property on Riemannian manifolds
Fabrice Baudoin, Nicola Garofalo
The purpose of this work is to study some monotone functionals of the heat kernel on a complete Riemannian manifold with nonnegative Ricci curvature. In particular, we show that on…
math.PR2009★ 3 cited
Stochastic Taylor expansions and heat kernel asymptotics
Fabrice Baudoin
These notes focus on the applications of the stochastic Taylor expansion of solutions of stochastic differential equations to the study of heat kernels in small times. As an illust…
math.DG2009★ 24 cited
Generalized Bochner formulas and Ricci lower bounds for sub-Riemannian manifolds of rank two
Fabrice Baudoin, Nicola Garofalo
We study a new class of rank two sub-Riemannian manifolds encompassing Riemannian manifolds, CR manifolds with vanishing Webster-Tanaka torsion, orthonormal bundles over Riemannian…