2 papers
math.DS2025
Semisimple random walks on the torus
Weikun He, Nicolas de Saxcé
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.
math.DS2024
On the dimension theory of random walks and group actions by circle diffeomorphisms
Weikun He, Yuxiang Jiao, Disheng Xu
We establish new results on the dimensional properties of measures and invariant sets associated to random walks and group actions by circle diffeomorphisms. This leads to several…