FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3103967214> ?p ?o ?g. }

• W3103967214 endingPage "153001" @default.
• W3103967214 startingPage "153001" @default.
• W3103967214 abstract "We review some recent results obtained in the framework of the 2-dimensional Interacting Self-Avoiding Walk (ISAW). After a brief presentation of the rigorous results that have been obtained so far for ISAW we focus on the Interacting Partially Directed Self-Avoiding Walk (IPDSAW), a model introduced in Zwanzig and Lauritzen (1968) to decrease the mathematical complexity of ISAW. In the first part of the paper, we discuss how a new probabilistic approach based on a random walk representation (see Nguyen and P'etr'elis (2013)) allowed for a sharp determination of the asymptotics of the free energy close to criticality (see Carmona, Nguyen and P'etr'elis (2016)). Some scaling limits of IPDSAW were conjectured in the physics literature (see e.g. Brak et al. (1993)). We discuss here the fact that all limits are now proven rigorously, i.e., for the extended regime in Carmona and P'etr'elis (2016), for the collapsed regime in Carmona, Nguyen and P'etr'elis (2016) and at criticality in Carmona and P'etr'elis (2017a). The second part of the paper starts with the description of four open questions related to physically relevant extensions of IPDSAW. Among such extensions is the Interacting Prudent Self-Avoiding Walk (IPSAW) whose configurations are those of the 2-dimensional prudent walk. We discuss the main results obtained in P'etr'elis and Torri (2016+) about IPSAW and in particular the fact that its collapse transition is proven to exist rigorously." @default.
• W3103967214 created "2020-11-23" @default.
• W3103967214 creator A5004620013 @default.
• W3103967214 creator A5005239928 @default.
• W3103967214 creator A5041897901 @default.
• W3103967214 creator A5049070384 @default.
• W3103967214 date "2018-03-16" @default.
• W3103967214 modified "2023-10-16" @default.
• W3103967214 title "Interacting partially directed self-avoiding walk: a probabilistic perspective" @default.
• W3103967214 cites W1967721281 @default.
• W3103967214 cites W1982798460 @default.
• W3103967214 cites W2002581139 @default.
• W3103967214 cites W2021283631 @default.
• W3103967214 cites W2025133675 @default.
• W3103967214 cites W2028750928 @default.
• W3103967214 cites W2032556868 @default.
• W3103967214 cites W2043948082 @default.
• W3103967214 cites W2044623603 @default.
• W3103967214 cites W2049477815 @default.
• W3103967214 cites W2049859878 @default.
• W3103967214 cites W2068301226 @default.
• W3103967214 cites W2084762722 @default.
• W3103967214 cites W2094239821 @default.
• W3103967214 cites W2109543351 @default.
• W3103967214 cites W2130095470 @default.
• W3103967214 cites W2138248941 @default.
• W3103967214 cites W2232013622 @default.
• W3103967214 cites W2599617738 @default.
• W3103967214 cites W2962801155 @default.
• W3103967214 cites W2963702723 @default.
• W3103967214 cites W2964302357 @default.
• W3103967214 cites W2995036884 @default.
• W3103967214 cites W3102639043 @default.
• W3103967214 cites W3104986302 @default.
• W3103967214 cites W4232753567 @default.
• W3103967214 cites W4249422304 @default.
• W3103967214 cites W2018419906 @default.
• W3103967214 doi "https://doi.org/10.1088/1751-8121/aab15e" @default.
• W3103967214 hasPublicationYear "2018" @default.
• W3103967214 type Work @default.
• W3103967214 sameAs 3103967214 @default.
• W3103967214 citedByCount "3" @default.
• W3103967214 countsByYear W31039672142019 @default.
• W3103967214 countsByYear W31039672142022 @default.
• W3103967214 crossrefType "journal-article" @default.
• W3103967214 hasAuthorship W3103967214A5004620013 @default.
• W3103967214 hasAuthorship W3103967214A5005239928 @default.
• W3103967214 hasAuthorship W3103967214A5041897901 @default.
• W3103967214 hasAuthorship W3103967214A5049070384 @default.
• W3103967214 hasBestOaLocation W31039672142 @default.
• W3103967214 hasConcept C105795698 @default.
• W3103967214 hasConcept C120665830 @default.
• W3103967214 hasConcept C121194460 @default.
• W3103967214 hasConcept C121332964 @default.
• W3103967214 hasConcept C121864883 @default.
• W3103967214 hasConcept C125611927 @default.
• W3103967214 hasConcept C17744445 @default.
• W3103967214 hasConcept C185544564 @default.
• W3103967214 hasConcept C192209626 @default.
• W3103967214 hasConcept C199539241 @default.
• W3103967214 hasConcept C2776359362 @default.
• W3103967214 hasConcept C33923547 @default.
• W3103967214 hasConcept C41008148 @default.
• W3103967214 hasConcept C49937458 @default.
• W3103967214 hasConcept C94625758 @default.
• W3103967214 hasConceptScore W3103967214C105795698 @default.
• W3103967214 hasConceptScore W3103967214C120665830 @default.
• W3103967214 hasConceptScore W3103967214C121194460 @default.
• W3103967214 hasConceptScore W3103967214C121332964 @default.
• W3103967214 hasConceptScore W3103967214C121864883 @default.
• W3103967214 hasConceptScore W3103967214C125611927 @default.
• W3103967214 hasConceptScore W3103967214C17744445 @default.
• W3103967214 hasConceptScore W3103967214C185544564 @default.
• W3103967214 hasConceptScore W3103967214C192209626 @default.
• W3103967214 hasConceptScore W3103967214C199539241 @default.
• W3103967214 hasConceptScore W3103967214C2776359362 @default.
• W3103967214 hasConceptScore W3103967214C33923547 @default.
• W3103967214 hasConceptScore W3103967214C41008148 @default.
• W3103967214 hasConceptScore W3103967214C49937458 @default.
• W3103967214 hasConceptScore W3103967214C94625758 @default.
• W3103967214 hasIssue "15" @default.
• W3103967214 hasLocation W31039672141 @default.
• W3103967214 hasLocation W31039672142 @default.
• W3103967214 hasLocation W31039672143 @default.
• W3103967214 hasLocation W31039672144 @default.
• W3103967214 hasLocation W31039672145 @default.
• W3103967214 hasLocation W31039672146 @default.
• W3103967214 hasLocation W31039672147 @default.
• W3103967214 hasOpenAccess W3103967214 @default.
• W3103967214 hasPrimaryLocation W31039672141 @default.
• W3103967214 hasRelatedWork W126231364 @default.
• W3103967214 hasRelatedWork W1593207319 @default.
• W3103967214 hasRelatedWork W1620380493 @default.
• W3103967214 hasRelatedWork W1668846860 @default.
• W3103967214 hasRelatedWork W2279399181 @default.
• W3103967214 hasRelatedWork W2333336726 @default.
• W3103967214 hasRelatedWork W2376759283 @default.
• W3103967214 hasRelatedWork W3008607579 @default.

• next