Affine random walks on the torus

19 Oct 2020 He Weikun Lakrec Tsviqa Lindenstrauss Elon

We consider random walks on the torus arising from the action of the group of affine transformations. We give a quantitative equidistribution result for this random walk under the assumption that the Zariski closure of the group generated by the linear part acts strongly irreducibly on $\mathbb{R}^d$ and is either Zariski connected or contains a proximal element... (read more)

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  • DYNAMICAL SYSTEMS