Weikun He

collaborators

3 papers

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.DS2019

Random walks on linear groups satisfying a Schubert condition

Weikun He

We study random walks on $GL_{d} (R)$ whose proximal dimension $r$ is larger than $1$ and whose limit set in the Grassmannian $Gr_{r, d} (R)$ is not…

math.GR2018

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…