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math.DS2019
Linear random walks on the torus
Weikun He, Nicolas de Saxcé
We prove a quantitative equidistribution result for linear random walks on the torus, similar to a theorem of Bourgain, Furman, Lindenstrauss and Mozes, but without any proximality…
math.DS2017
Dimension bound for badly approximable grids
Seonhee Lim, Nicolas de Saxcé, Uri Shapira
We show that for almost any vector in , for any there exists such that the dimension of the set of vectors satisfying $\liminf_{k\to\infty} k^{1/n…