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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBERCU, Bernard
hal.structure.identifierInstitut de Mathématiques de Toulouse UMR5219 [IMT]
dc.contributor.authorMONTÉGUT, Fabien
dc.date2021
dc.date.accessioned2024-04-04T02:45:36Z
dc.date.available2024-04-04T02:45:36Z
dc.date.issued2021
dc.identifier.issn0022-2488
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191482
dc.description.abstractEnThe purpose of this paper is to investigate the asymptotic behavior of random walks on three-dimensional crystal structures. We focus our attention on the 1h structure of the ice and the 2h structure of graphite. We establish the strong law of large numbers and the asymptotic normality for both random walks on ice and graphite. All our analysis relies on asymptotic results for multi-dimensional martingales.
dc.language.isoen
dc.publisherAmerican Institute of Physics (AIP)
dc.subject.enRandom walk
dc.subject.enHexagonal lattice
dc.subject.enCentral limit theorem
dc.title.enAsymptotic analysis of random walks on ice and graphite
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.identifier.arxiv2109.08397
bordeaux.journalJournal of Mathematical Physics
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03347046
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03347046v1
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