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

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

2005-06-24

arxiv.org/abs/math/0506514v1

Mathematics

Number Theory

LaTeX, 17 pages

Scientific paper

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.

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