Moments of 2D parabolic Anderson model

DOI10.3233/ASY-171460zbMath1401.35290arXiv1702.07026OpenAlexW2962713116MaRDI QIDQ4689121

Yu Gu, Wei-jun Xu

Publication date: 12 October 2018

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07026

zbMATH Keywords

renormalizationFeynman-Kac formulaintersection local time

Mathematics Subject Classification ID

Brownian motion (60J65) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with statistical mechanics (35Q82)

Related Items (8)

Moment intermittency in the PAM with asymptotically singular noise ⋮ Lyapunov exponents in a slow environment ⋮ The continuum parabolic Anderson model with a half-Laplacian and periodic noise ⋮ Simple nonlinear models with rigorous extreme events and heavy tails ⋮ Chaos expansion of 2D parabolic Anderson model ⋮ The Schrödinger equation with spatial white noise: the average wave function ⋮ Moment estimates for some renormalized parabolic Anderson models ⋮ Integrated density of states of the Anderson Hamiltonian with two-dimensional white noise

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