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Asymptotic analysis of random walks on ice and graphite
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BERCU, Bernard | |
hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
dc.contributor.author | MONTÉGUT, Fabien | |
dc.date | 2021 | |
dc.date.accessioned | 2024-04-04T02:45:36Z | |
dc.date.available | 2024-04-04T02:45:36Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0022-2488 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191482 | |
dc.description.abstractEn | The 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.iso | en | |
dc.publisher | American Institute of Physics (AIP) | |
dc.subject.en | Random walk | |
dc.subject.en | Hexagonal lattice | |
dc.subject.en | Central limit theorem | |
dc.title.en | Asymptotic analysis of random walks on ice and graphite | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
dc.identifier.arxiv | 2109.08397 | |
bordeaux.journal | Journal of Mathematical Physics | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-03347046 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03347046v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Physics&rft.date=2021&rft.eissn=0022-2488&rft.issn=0022-2488&rft.au=BERCU,%20Bernard&MONT%C3%89GUT,%20Fabien&rft.genre=article |
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