Measure rigidity and $p$-adic Littlewood-type problems
Number Theory
2007-05-23 v1 Dynamical Systems
Abstract
The paper investigates various -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.
Cite
@article{arxiv.math/0506514,
title = {Measure rigidity and $p$-adic Littlewood-type problems},
author = {Manfred Einsiedler and Dmitry Kleinbock},
journal= {arXiv preprint arXiv:math/0506514},
year = {2007}
}
Comments
LaTeX, 17 pages