Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model
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Publication:2291965
DOI10.1214/18-AIHP942zbMath1446.60047arXiv1704.08653OpenAlexW2984048886MaRDI QIDQ2291965
Jörg Martin, Nicolas Perkowski
Publication date: 31 January 2020
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.08653
Besov spacesparabolic Anderson modelscaling limitsparacontrolled distributionsweak universalityBravais lattices
Central limit and other weak theorems (60F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Besov spaces and (Q_p)-spaces (30H25)
Related Items (22)
Multidimensional SDE with distributional drift and Lévy noise ⋮ Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential ⋮ Weyl law for the Anderson Hamiltonian on a two-dimensional manifold ⋮ Singular HJB equations with applications to KPZ on the real line ⋮ A Littlewood-Paley description of modelled distributions ⋮ The spatial \(\Lambda\)-Fleming-Viot process in a random environment ⋮ An SPDE approach to perturbation theory of \(\Phi_2^4\): asymptoticity and short distance behavior ⋮ Weak universality of the dynamical \({{\Phi }_3^4}\) model on the whole space ⋮ The stochastic heat equation as the limit of a stirring dynamics perturbed by a voter model ⋮ Stationary directed polymers and energy solutions of the Burgers equation ⋮ Quantitative heat-kernel estimates for diffusions with distributional drift ⋮ Some recent progress in singular stochastic partial differential equations ⋮ Introduction ⋮ Chaos expansion of 2D parabolic Anderson model ⋮ On Sobolev rough paths ⋮ Yang-Mills measure on the two-dimensional torus as a random distribution ⋮ A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory ⋮ The KPZ equation on the real line ⋮ Stochastic quantization of an abelian gauge theory ⋮ A rough super-Brownian motion ⋮ 2D random magnetic Laplacian with white noise magnetic field ⋮ Scaling limit of a directed polymer among a Poisson field of independent walks
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