Chaos expansion of 2D parabolic Anderson model

DOI10.1214/18-ECP129zbMath1390.60234arXiv1711.07578OpenAlexW2962922420MaRDI QIDQ1748580

Yu Gu, Jingyu Huang

Publication date: 11 May 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07578

zbMATH Keywords

parabolic Anderson modelchaos expansionrenormalized self-intersection local time

Mathematics Subject Classification ID

Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (5)

Global well-posedness for the nonlinear generalized parabolic Anderson model equation ⋮ Almost sure central limit theorems for stochastic wave equations ⋮ The continuum parabolic Anderson model with a half-Laplacian and periodic noise ⋮ SPDE limit of weakly inhomogeneous ASEP ⋮ Scaling limit of a directed polymer among a Poisson field of independent walks

Cites Work

• The parabolic Anderson model. Random walk in random potential
• A theory of regularity structures
• Polynomial chaos and scaling limits of disordered systems
• Chaos expansion of heat equations with white noise potentials
• Multidimensional SDEs with singular drift and universal construction of the polymer measure with white noise potential
• An invariance principle for the two-dimensional parabolic Anderson model with small potential
• Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model
• A simple construction of the continuum parabolic Anderson model on \(\mathbf{R}^2\)
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• The Malliavin Calculus and Related Topics
• Moments of 2D parabolic Anderson model
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