Strong Kac’s chaos in the mean-field Bose–Einstein Condensation

DOI10.1142/S0219493720500318zbMath1456.60197arXiv1903.07128WikidataQ126431858 ScholiaQ126431858MaRDI QIDQ5133907

Stefania Ugolini, Francesco C. De Vecchi, Andrea Romano, Sergio A. Albeverio

Publication date: 11 November 2020

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07128

zbMATH Keywords

Bose-Einstein condensationstochastic mechanicsinteracting Nelson diffusionsconvergence of probability measures on path spacestrong Kac's chaosFisher's and entropy chaosmean-field scaling limit

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Measures of information, entropy (94A17) Stochastic quantization (81S20)

Related Items (3)

Mean-Field Limit for a Class of Stochastic Ergodic Control Problems ⋮ Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations ⋮ A Functional Analytic Approach to Infinite Dimensional Stochastic Linear Systems

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