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math.PR2022
Localized bounds on log-derivatives of the heat kernel on incomplete Riemannian manifolds
Robert W. Neel, Ludovic Sacchelli
Bounds on the logarithmic derivatives of the heat kernel on a compact Riemannian manifolds have been long known, and were recently extended, for the log-gradient and log-Hessian, t…
math.PR2020★ 1 cited
Uniform, localized asymptotics for sub-Riemannian heat kernels, their logarithmic derivatives, and associated diffusion bridges
Robert W. Neel, Ludovic Sacchelli
We show that the small-time asymptotics of the sub-Riemannian heat kernel, its derivatives, and its logarithmic derivatives can be localized, allowing them to be studied even on in…