Measure rigidity and $p$-adic Littlewood-type problems

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The paper investigates various $p$-adic versions of Littlewood's conjecture, generalizing a set-up considered recently by de Mathan and Teulie. In many cases it is shown that the sets of exceptions to these conjectures have Hausdorff dimension zero. The proof follows the measure ridigity approach of Einsiedler, Katok and Lindenstrauss.
LaTeX, 17 pages

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Number Theory, Dynamical Systems, 11J61; 37A13

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http://salesiana.dossiersoluciones.com/handle/123456789/75585

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506514
 http://arxiv.org/abs/math/0506514

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arXiv