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arXiv · 1909.04699

Feeling boundary by Brownian motion in a ball

Grzegorz Serafin
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Abstract

We provide short-time asymptotics with rates of convergence for the Laplace Dirichlet heat kernel in a ball. The boundary behaviour is precisely described. Presented results may be considered as a complement or a generalization of the famous "principle of not feeling the boundary" in case of a ball.

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Grzegorz Serafin. 2019-09-10. Feeling boundary by Brownian motion in a ball. https://arxiv.org/abs/1909.04699

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