Limit laws for the energy of a charged polymer

DOI10.1214/07-AIHP120zbMath1178.60024arXiv0808.3037MaRDI QIDQ731691

Xia Chen

Publication date: 8 October 2009

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/0808.3037

zbMATH Keywords

central limit theoremmoderate deviationself-intersection local timelaws of the iterated logarithmcharged polymer

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Statistical mechanics of polymers (82D60) Large deviations (60F10)

Related Items (11)

The quenched limiting distributions of a charged-polymer model ⋮ Annealed scaling for a charged polymer ⋮ Annealed upper tails for the energy of a charged polymer ⋮ Properties of Gaussian local times ⋮ Moderate deviations for the energy of charged polymer ⋮ Charged polymers in the attractive regime: a first-order transition from Brownian scaling to four-point localization ⋮ Strong approximations in a charged-polymer model ⋮ Annealed lower tails for the energy of a charged polymer ⋮ Large deviations for intersection local times in critical dimension ⋮ Shape transition under excess self-intersections for transient random walk ⋮ A CLT for the \(L^{2}\) modulus of continuity of Brownian local time

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