Second term of the logarithmic asymptotics of path integrals

DOI10.1007/BF01084705zbMath0558.28009OpenAlexW2015047665MaRDI QIDQ762634

V. P. Maslov, Alexander M. Chebotarev

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084705

zbMATH Keywords

Wiener measureasymptotic Laplace methodasymptotic of solutions of certain parabolic equationscontinual integrallarge deviations in probability theory

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Second-order parabolic equations (35K10) Markov processes (60J99)

Related Items

A series of invariant characteristics of extremum and the logarithmic asymptotics of Laplace integrals

Cites Work

• Semiclassical approximation of path integrals on and near caustics in terms of catastrophes
• Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I
• On the Asymptotics of the Transition Density of Processes with Small Diffusion
• Diffusion processes in a small time interval
• Diffusion processes in a small time interval
• Boundary-Value Problems for Random Walks and Large Deviations in Function Spaces
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