Uniform asymptotic bounds for the heat kernel and the trace of a stochastic geodesic flow

DOI10.1080/17442508.2010.519029zbMath1259.58012arXiv0912.4683OpenAlexW2030776129MaRDI QIDQ4648590

Astrid Hilbert, Vassili N. Kolokol'tsov, Sergio A. Albeverio

Publication date: 9 November 2012

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4683

zbMATH Keywords

asymptotic expansionsheat kerneltrace formulastochastic geodesic flowWentzel-Kramers-Brillouin (WKB)-type methods

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes and stochastic analysis on manifolds (58J65) Applications of functional analysis in probability theory and statistics (46N30) Geodesic flows in symplectic geometry and contact geometry (53D25) Applications of functional analysis to differential and integral equations (46N20) Heat kernel (35K08)

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