| dc.contributor.author | Disertori, Margherita | |
| dc.contributor.author | Sabot, Christophe | |
| dc.contributor.author | Tarres, Pierre | |
| dc.date.accessioned | 2017-03-18T12:09:30Z | |
| dc.date.available | 2017-03-18T12:09:30Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/16396 | |
| dc.language.iso | en | en |
| dc.subject | edge-reinforced random walk | en |
| dc.subject.ddc | 520 | en |
| dc.title | Transience of Edge-Reinforced Random Walk | en |
| dc.type | Article accepté pour publication ou publié | |
| dc.description.abstracten | We show transience of the edge-reinforced random walk (ERRW) for small reinforcement in dimension d≥3. This proves the existence of a phase transition between recurrent and transient behavior, thus solving an open problem stated by Diaconis in 1986. The argument adapts the proof of quasi-diffusive behavior of the supersymmetric (SuSy) hyperbolic model for fixed conductances by Disertori et al. (Commun Math Phys 300:435–486, 2010), using the representation of ERRW as a mixture of vertex-reinforced jump processes (VRJP) with independent gamma conductances, and the interpretation of the limit law of VRJP as a SuSy hyperbolic sigma model developed by Sabot and Tarrès (J Eur Math Soc, arXiv:1111.3991, 2015). | en |
| dc.relation.isversionofjnlname | Communications in Mathematical Physics | |
| dc.relation.isversionofjnlvol | 339 | en |
| dc.relation.isversionofjnlissue | 1 | en |
| dc.relation.isversionofjnldate | 2015 | |
| dc.relation.isversionofjnlpages | 121-148 | en |
| dc.relation.isversionofdoi | 10.1007/s00220-015-2392-y | en |
| dc.identifier.urlsite | https://arxiv.org/abs/1403.6079v2 | en |
| dc.relation.isversionofjnlpublisher | Springer | en |
| dc.subject.ddclabel | Sciences connexes (physique, astrophysique) | en |
| dc.relation.forthcoming | non | en |
| dc.relation.forthcomingprint | non | en |
| dc.description.ssrncandidate | non | en |
| dc.description.halcandidate | non | en |
| dc.description.readership | recherche | en |
| dc.description.audience | International | en |
| dc.relation.Isversionofjnlpeerreviewed | oui | en |
| dc.relation.Isversionofjnlpeerreviewed | oui | en |
| dc.date.updated | 2017-03-10T14:27:55Z | |
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