Modul:   MAT760  Ergodic theory and dynamical systems seminar

Quantitative equidistribution of random walks on SL_2(R)/SL_2(Z)

Talk by Prof. Dr. Weikun He

Date: 08.05.24  Time: 13.30 - 14.30  Room: ETH HG G 19.1

We consider random walks on the homogeneous space SL_2(R)/SL_2(Z) induced by the action of a Zariski-dense subgroup consisting of matrices with algebraic entries. I will present a recent joint work with Timothée Bénard where we showed the following. The random walk equidistributes in law unless it is trapped in a finite orbit. Moreover, the convergence is fast unless the starting point is close to a finite orbit or high in the cusp.