4 papers
A subspace theorem for manifolds
Emmanuel Breuillard, Nicolas de Saxcé
We prove a theorem that generalizes Schmidt's Subspace Theorem in the context of metric diophantine approximation. To do so we reformulate the Subspace theorem in the framework of…
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…
Sum-product for real Lie groups
Weikun He, Nicolas de Saxcé
We prove a discretized sum-product theorem for representations of Lie groups whose Jordan-Hölder decomposition does not contain the trivial representation. This expansion result is…
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…