Anomalous diffusion for multi-dimensional critical kinetic Fokker-Planck equations

DOI10.1214/20-AOP1426zbMath1456.60276arXiv1812.06806MaRDI QIDQ2212597

Camille Tardif, Nicolas Fournier

Publication date: 24 November 2020

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

Full work available at URL: https://arxiv.org/abs/1812.06806

zbMATH Keywords

homogenizationcentral limit theoremlocal timesBessel processesstable processeskinetic Fokker-Planck equationanomalous diffusion phenomenaheavy-tailed equilibriumkinetic diffusion process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes (60J60) Fokker-Planck equations (35Q84) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)

Related Items (6)

Fractional diffusion for Fokker–Planck equation with heavy tail equilibrium: An à la Koch spectral method in any dimension ⋮ Stable limit theorems for additive functionals of one-dimensional diffusion processes ⋮ Quantitative fluid approximation in transport theory: a unified approach ⋮ One dimensional critical kinetic Fokker-Planck equations, Bessel and stable processes ⋮ Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held November 29 -- December 5, 2020 (online meeting) ⋮ Fractional hypocoercivity

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