6533b7d4fe1ef96bd1261d79

RESEARCH PRODUCT

Long-Time Behaviour for the Brownian Heat Kernel on a Compact Riemannian Manifold and Bismut’s Integration-by-Parts Formula

Rémi Léandre

subject

lawMathematical analysisProbabilistic proofIntegration by partsMathematics::Differential GeometryRiemannian manifoldManifold (fluid mechanics)Heat kernelBrownian motionlaw.inventionMathematics

description

We give a probabilistic proof of the classical long-time behaviour of the heat kernel on a compact manifold by using Bismut’s integration-by-parts formula.

https://doi.org/10.1007/978-3-7643-8458-6_11