Examples of measures with trivial left and non-trivial right random walk tail boundary
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913340348956672 |
|---|---|
| author | Alpeev, Andrei |
| author_facet | Alpeev, Andrei |
| contents | In early 80's Vadim Kaimanovich presented a construction of a non-degenerate measure, on the standard lamplighter group, that has a trivial left and non-trivial right random walk tail boundary. We show that examples of such kind are possible precisely for amenable groups that have non-trivial factors with infinite conjugacy classes property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_11359 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Examples of measures with trivial left and non-trivial right random walk tail boundary Alpeev, Andrei Probability Dynamical Systems In early 80's Vadim Kaimanovich presented a construction of a non-degenerate measure, on the standard lamplighter group, that has a trivial left and non-trivial right random walk tail boundary. We show that examples of such kind are possible precisely for amenable groups that have non-trivial factors with infinite conjugacy classes property. |
| title | Examples of measures with trivial left and non-trivial right random walk tail boundary |
| topic | Probability Dynamical Systems |
| url | https://arxiv.org/abs/2105.11359 |