A sharp asymptotics of the partition function for the collapsed interacting partially directed self-avoiding walk

DOI10.1007/s10955-022-02890-xzbMath1490.60278arXiv2104.01247OpenAlexW3143203420MaRDI QIDQ2116505

Alexandre Legrand, Nicolas Pétrélis

Publication date: 17 March 2022

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01247

zbMATH Keywords

large deviationslocal limit theorempolymer collapserandom walk representation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (2)

Exact solution of weighted partially directed walks crossing a square ⋮ Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall

Cites Work

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• An Introduction to Heavy-Tailed and Subexponential Distributions
• Analysis of series expansions for non-algebraic singularities
• Local asymptotics for the area under the random walk excursion
• The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

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