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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierUniversité Paris Nanterre [UPN]
dc.contributor.authorBOYER, Jean-Baptiste
dc.date.accessioned2024-04-04T03:15:17Z
dc.date.available2024-04-04T03:15:17Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194138
dc.description.abstractEnLet $\rho$ be a probability measure on $\mathrm{SL}_d(\mathbb{Z})$ and consider the random walk defined by $\rho$ on the torus $\mathbb{T}^d = \mathbb{R}^d/\mathbb{Z}^d$. Bourgain, Furmann, Lindenstrauss and Mozes proved that under an assumption on the group generated by the support of $ρ$, the random walk starting at any irrational point equidistributes in the torus. In this article, we study the central limit theorem and the law of the iterated logarithm for this walk starting at some point having good diophantine properties.
dc.language.isoen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/
dc.title.enCENTRAL LIMIT THEOREM AND LAW OF THE ITERATED LOGARITHM FOR THE LINEAR RANDOM WALK ON THE TORUS
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.identifier.arxiv1602.03849
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01273105
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01273105v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BOYER,%20Jean-Baptiste&rft.genre=preprint


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