Mean-field interaction of Brownian occupation measures. I: Uniform tube property of the Coulomb functional

DOI10.1214/16-AIHP788zbMath1382.60107arXiv1509.06672OpenAlexW2768712403MaRDI QIDQ1700410

Wolfgang König, Chiranjib Mukherjee

Publication date: 5 March 2018

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/1509.06672

zbMATH Keywords

Gibbs measuresinteracting Brownian motionspolaron problemCoulomb functional

Mathematics Subject Classification ID

Brownian motion (60J65) Large deviations (60F10) Local time and additive functionals (60J55)

Related Items (5)

Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation ⋮ The endpoint distribution of directed polymers ⋮ Identification of the polaron measure in strong coupling and the Pekar variational formula ⋮ The role of topology in large deviations ⋮ Mean‐Field Interaction of Brownian Occupation Measures II: A Rigorous Construction of the Pekar Process

Cites Work

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• Brownian occupation measures, compactness and large deviations
• On self-attracting \(d\)-dimensional random walks
• Asymptotics for the polaron
• Asymptotic evaluation of certain markov process expectations for large time, I
• Diffusion Processes with Unbounded Drift Coefficient
• On laws of the iterated logarithm for local times
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Mean‐Field Interaction of Brownian Occupation Measures II: A Rigorous Construction of the Pekar Process

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