Semisimple random walks on the torus

Abstract

We study linear random walks on the torus and show a quantitative equidistribution statement, under the assumption that the Zariski closure of the acting group is semisimple.

To appear in ETDS

References in corpus (7)

• Random subgroups of linear groups are free
• Expansion in perfect groups
• Expansion in SL_d(Z/qZ), q arbitrary
• Affine random walks on the torus
• Equidistribution of affine random walks on some nilmanifolds
• Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$
• Multislicing and effective equidistribution for random walks on some homogeneous spaces