Quenched asymptotics for a 1-d stochastic heat equation driven by a rough spatial noise

DOI10.1016/j.spa.2020.06.007zbMath1454.60090arXiv1810.04212OpenAlexW3036334047MaRDI QIDQ2229559

Prakash Chakraborty, Bo Gao, Samy Tindel, Xia Chen

Publication date: 18 February 2021

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.04212

zbMATH Keywords

fractional Brownian motionstochastic heat equationFeynman-Kac formulaparabolic Anderson modelLyapounov exponent

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Rough paths (60L20)

Related Items

High order Anderson parabolic model driven by rough noise in space, Almost surely time-space intermittency for the parabolic Anderson model with a log-correlated Gaussian field, Precise high moment asymptotics for parabolic Anderson model with log-correlated Gaussian field

Cites Work

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• The parabolic Anderson model. Random walk in random potential
• On a modelled rough heat equation
• Quenched asymptotics for Brownian motion of renormalized Poisson potential and for the related parabolic Anderson models
• Spectral statistics for random Schrödinger operators in the localized regime
• Stochastic heat equation with rough dependence in space
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• Moment asymptotics for the continuous parabolic Anderson model.
• Almost sure asymptotics for the continuous parabolic Anderson model
• A limit law for the ground state of Hill's equation
• Stationary parabolic Anderson model and intermittency
• Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
• Quenched asymptotics for Brownian motion in generalized Gaussian potential
• An Invitation to Random Schroedinger operators
• Parabolic Anderson problem and intermittency
• Random Fields and Geometry