Interacting partially directed self avoiding walk. From phase transition to the geometry of the collapsed phase

DOI10.1214/15-AOP1046zbMath1360.60173arXiv1306.4887OpenAlexW2962801155MaRDI QIDQ341482

Philippe Carmona, Gia Bao Nguyen, Nicolas Pétrélis

Publication date: 16 November 2016

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

Full work available at URL: https://arxiv.org/abs/1306.4887

zbMATH Keywords

phase transitionlimit shapeself-avoiding random walkpolymer collapse

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (4)

Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall ⋮ A shape theorem for the scaling limit of the IPDSAW at criticality ⋮ Interacting partially directed self-avoiding walk: a probabilistic perspective ⋮ A sharp asymptotics of the partition function for the collapsed interacting partially directed self-avoiding walk

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