Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups

DOI10.1214/14-AOP925zbMath1322.60116arXiv1302.3266OpenAlexW2117053203MaRDI QIDQ2354155

Davar Khoshnevisan, Kunwoo Kim

Publication date: 10 July 2015

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3266

zbMATH Keywords

Lévy processesstochastic heat equationintermittencylocally compact abelian groupsnonlinear noise excitation

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Cites Work

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• Stochastic integrals for SPDEs: a comparison
• An application of renewal theorems to exponential moments of local times
• Ideas in the theory of random media
• Intermittence and nonlinear parabolic stochastic partial differential equations
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• Nonlinear stochastic wave and heat equations
• The stochastic heat equation: Feynman-Kac formula and intermittence.
• Some non-linear s. p. d. e's that are second order in time
• Space-time regularity for linear stochastic evolution equations driven by spatially homogeneous noise
• Weak nonmild solutions to some SPDEs
• Quenched to annealed transition in the parabolic Anderson problem
• Dynkin's isomorphism theorem and the stochastic heat equation
• Infinitely divisible processes and their potential theory. I
• Infinitely divisible processes and their potential theory. II
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• A local-time correspondence for stochastic partial differential equations
• Dynamic Scaling of Growing Interfaces
• On the support of solutions to the heat equation with noise
• The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions
• Parabolic Anderson problem and intermittency
• Random polymers
• Non-linear noise excitation and intermittency under high disorder
• Cluster formation in complex multi-scale systems
• The nature of turbulent motion at large wave-numbers
• Stochastic Equations in Infinite Dimensions

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