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CENTRAL LIMIT THEOREM AND LAW OF THE ITERATED LOGARITHM FOR THE LINEAR RANDOM WALK ON THE TORUS
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Université Paris Nanterre [UPN] | |
| dc.contributor.author | BOYER, Jean-Baptiste | |
| dc.date.accessioned | 2024-04-04T03:15:17Z | |
| dc.date.available | 2024-04-04T03:15:17Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194138 | |
| dc.description.abstractEn | Let $\rho$ 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.iso | en | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/ | |
| dc.title.en | CENTRAL LIMIT THEOREM AND LAW OF THE ITERATED LOGARITHM FOR THE LINEAR RANDOM WALK ON THE TORUS | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 1602.03849 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-01273105 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01273105v1 | |
| bordeaux.COinS | ctx_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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