Interacting partially directed self avoiding walk: scaling limits

DOI10.1214/16-EJP4618zbMath1346.60136arXiv1507.08332OpenAlexW2963702723MaRDI QIDQ303569

Philippe Carmona, Nicolas Pétrélis

Publication date: 22 August 2016

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08332

zbMATH Keywords

law of large numbersphase transitionlarge deviationslimiting distributionself-avoiding walkBrownian areapolymer collapse

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Brownian motion (60J65) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Functional limit theorems; invariance principles (60F17)

Related Items (5)

Exact solution of weighted partially directed walks crossing a square ⋮ Limit theorems for random walk excursion conditioned to enclose a typical area ⋮ 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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