Moderate deviation principle for a class of stochastic partial differential equations

DOI10.1017/jpr.2015.24zbMath1337.60043arXiv1409.2169OpenAlexW2293299801MaRDI QIDQ2804430

Parisa Fatheddin, Jie Xiong

Publication date: 29 April 2016

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2169

zbMATH Keywords

stochastic partial differential equationssuper-Brownian motionFleming-Viot processmoderate deviation principle

Mathematics Subject Classification ID

Brownian motion (60J65) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Limit theorems in probability theory (60F99) Superprocesses (60J68)

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Cites Work

• Unnamed Item
• Some scaled limit theorems for an immigration super-Brownian motion
• Moderate deviations for the quenched mean of the super-Brownian motion with random immigration
• Large deviations for infinite dimensional stochastic dynamical systems
• Large deviations techniques and applications.
• An \(\infty\)-dimensional inhomogeneous Langevin's equation
• Particle representations for a class of nonlinear SPDEs
• Large deviation for the Fleming-Viot process with neutral mutation and selection
• Large deviations and quasi-potential of a Fleming-Viot process
• Moderate deviation for the single point catalytic super-Brownian motion
• Super-Brownian motion as the unique strong solution to an SPDE
• Moderate deviations and functional LIL for super-Brownian motion
• Large deviation principle for some measure-valued processes
• Central limit theorem for a class of SPDEs
• Moderate deviation for super-Brownian Motion with super-Brownian immigration
• A Schilder Type Theorem for Super-Brownian Motion