Mean‐Field Interaction of Brownian Occupation Measures II: A Rigorous Construction of the Pekar Process

DOI10.1002/cpa.21682zbMath1374.60157arXiv1511.05921OpenAlexW2963207920MaRDI QIDQ4978439

Chiranjib Mukherjee, Wolfgang König, Erwin Bolthausen

Publication date: 10 August 2017

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05921

zbMATH Keywords

polaron problem

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items

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 ⋮ Mean-field interaction of Brownian occupation measures. I: Uniform tube property of the Coulomb functional ⋮ Identification of the polaron measure in strong coupling and the Pekar variational formula ⋮ The role of topology in large deviations

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