About the speed of random walks on solvable groups

Jérémie Brieussel (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

We show that for each $\lambda \in [\frac{1}{2}, 1]$, there exists a solvable group and a finitely supported measure such that the associated random walk has upper speed exponent $\lambda$.

Domaines: Mathématiques [math]

Jérémie Brieussel. About the speed of random walks on solvable groups. 2019. ⟨hal-02048183⟩