2 papers
math.PR2026
Comparison of Dirichlet forms for stable-like random walks on groups of polynomial volume growth
Laurent Saloff-Coste, Ruoqi Zhang
In earlier works, we studied natural examples of stable-like random walks on finitely generated nilpotent groups and, more generally, on groups of polynomial volume growth. These w…
math.PR2025
Examples of stable-like random walks on groups of polynomial growth
Laurent Saloff-Coste, Ruoqi Zhang
We consider several families of long jump random walks on groups of polynomial volume growth which are naturally expected to have a stable-like behavior. We then prove optimal pseu…