Large deviations for the one-dimensional Edwards model.

DOI10.1214/aop/1068646376zbMath1052.60019arXivmath/0203214OpenAlexW2135455885MaRDI QIDQ1433890

Remco van der Hofstad, Wolfgang König, W. Th. F. den Hollander

Publication date: 1 July 2004

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203214

zbMATH Keywords

intersection local timeRay-Knight theoremslarge deviations, Airy functionself-repellent Brownian motion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of polymers (82D60) Large deviations (60F10) Local time and additive functionals (60J55)

Related Items (3)

On the speed of the one-dimensional polymer in the large range regime ⋮ Annealed scaling for a charged polymer ⋮ Construction of an Edwards' probability measure on \(\mathcal C(\mathbb R_+, \mathbb R)\)

Cites Work

• Some connections between excursion theory and the discrete Schrödinger equation with random potentials
• On Edwards' model for polymer chains. II: The self-consistent potential
• The constants in the central limit theorem for the one-dimensional Edwards model
• On the construction of the three dimensional polymer measure
• Central limit theorem for the Edwards model
• Weak interaction limits for one-dimensional random polymers
• Scaling for a random polymer
• Lattice Models of Polymers
• Large deviations
• A survey of one-dimensional random polymers.
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