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• W2964009968 abstract "In this paper we prove a short time asymptotic expansion of a hypoelliptic heat kernel on a Euclidean space and a compact manifold. We study the ‘cut locus’ case, namely, the case where energy-minimizing paths which join the two points under consideration form not a finite set, but a compact manifold. Under mild assumptions we obtain an asymptotic expansion of the heat kernel up to any order. Our approach is probabilistic and the heat kernel is regarded as the density of the law of a hypoelliptic diffusion process, which is realized as a unique solution of the corresponding stochastic differential equation. Our main tools are S. Watanabe’s distributional Malliavin calculus and T. Lyons’ rough path theory." @default.
• W2964009968 created "2019-07-30" @default.
• W2964009968 creator A5053015567 @default.
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• W2964009968 date "2017-01-01" @default.
• W2964009968 modified "2023-10-16" @default.
• W2964009968 title "SHORT TIME FULL ASYMPTOTIC EXPANSION OF HYPOELLIPTIC HEAT KERNEL AT THE CUT LOCUS" @default.
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• W2964009968 doi "https://doi.org/10.1017/fms.2017.14" @default.
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