Random walks on the discrete affine group
Résumé
We introduce the discrete affine group of a regular tree as a finitely generated subgroup of the affine group. We describe the Poisson boundary of random walks on it as a space of configurations. We compute isoperimetric profile and Hilbert compression exponent of the group. We also discuss metric relationship with some lamplighter groups and lamplighter graphs.
Domaines
Mathématiques [math]| Origine | Publication financée par une institution |
|---|