A Berry-Esseen bound in the Smoluchowski-Kramers approximation

DOI10.1007/s10955-020-02564-6zbMath1434.82065OpenAlexW3027417932MaRDI QIDQ2183164

Nguyen Tien Dung, Nguyen Van Tan

Publication date: 26 May 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-020-02564-6

zbMATH Keywords

Malliavin calculusBerry-Esseen boundSmoluchowski-Kramers approximation

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Cites Work

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• On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior
• Some remarks on the Smoluchowski-Kramers approximation
• Smoluchowski-Kramers approximation for a general class of SPDEs
• A parameter estimator based on Smoluchowski-Kramers approximation
• The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
• On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom
• Smoluchowski–Kramers approximation and large deviations for infinite dimensional gradient systems
• The Smoluchowski–Kramers approximation for the stochastic Liénard equation by mean-field
• The Malliavin Calculus and Related Topics
• Brownian motion in a field of force and the diffusion model of chemical reactions