A general framework for waves in random media with long-range correlations

DOI10.1214/10-AAP689zbMath1223.34085arXiv1101.0060OpenAlexW2013121578MaRDI QIDQ627236

Renaud Marty, Knut Sølna

Publication date: 21 February 2011

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

Full work available at URL: https://arxiv.org/abs/1101.0060

zbMATH Keywords

long-range dependencewaves in random mediafractional and multifractional processes

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Stochastic integral equations (60H20)

Related Items (10)

Wave decoherence for the random Schrödinger equation with long-range correlations ⋮ From Hermite Polynomials to Multifractional Processes ⋮ Fractional white-noise limit and paraxial approximation for waves in random media ⋮ Fractional stochastic differential equations satisfying fluctuation-dissipation theorem ⋮ Paraxial Wave Propagation in Random Media with Long-Range Correlations ⋮ An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations ⋮ Analysis of a splitting scheme for a class of random nonlinear partial differential equations ⋮ Precursors for waves in random media ⋮ Radiative transport limit for the random Schrödinger equation with long-range correlations ⋮ Imaging in Random Media

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