An asymptotic property of a certain Brownian motion expectation for large time

DOI10.3792/pjaa.57.155zbMath0496.60081OpenAlexW1975761162MaRDI QIDQ1169980

Hiroyuki Ôkura

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.155

zbMATH Keywords

Schrödinger operatorsasymptotic formulastable process

Mathematics Subject Classification ID

Brownian motion (60J65) Markov processes (60J99)

Related Items

Stochastic analysis and random Schrödinger operators ⋮ Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Large deviations for Brownian motion in a random potential ⋮ ASYMPTOTIC BEHAVIOR OF THE INTEGRATED DENSITY OF STATES FOR RANDOM POINT FIELDS ASSOCIATED WITH CERTAIN FREDHOLM DETERMINANTS ⋮ Quenched asymptotics for symmetric Lévy processes interacting with Poissonian fields

Cites Work

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• Behavior of some Wiener integrals as \(t\to\infty\) and the density of states of Schrödinger equations with random potential
• On the spectral distributions of certain integro-differential operators with random potential
• Some limit theorems of Donsker-Varadhan type for Markov process expectations
• Asymptotics for the wiener sausage
• Asymptotic evaluation of certain markov process expectations for large time, II
• SPECTRA OF RANDOM SELF ADJOINT OPERATORS

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