Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times

DOI10.1002/CPA.21858zbMath1442.60082arXiv1802.05696OpenAlexW3106384301MaRDI QIDQ5216173

Chiranjib Mukherjee, Srinivasa R. S. Varadhan

Publication date: 14 February 2020

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

Full work available at URL: https://arxiv.org/abs/1802.05696

zbMATH Keywords

polaron measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (8)

Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation ⋮ Effective mass of the polaron -- revisited ⋮ Renewal approach for the energy-momentum relation of the Fröhlich polaron ⋮ On the global minimum of the energy-momentum relation for the polaron ⋮ Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron ⋮ Effective mass of the Polaron: a lower bound ⋮ Identification of the polaron measure in strong coupling and the Pekar variational formula ⋮ The Polaron Measure

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