Noise sensitivity on virtually abelian groups
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908699837071360 |
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| author | Brieussel, Jeremie Tanaka, Ryokichi |
| author_facet | Brieussel, Jeremie Tanaka, Ryokichi |
| contents | We show that aperiodic random walks with finite second moment on virtually abelian groups are noise sensitive in total variation if and only if the group admits no nonzero homomorphism onto the infinite cyclic group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noise sensitivity on virtually abelian groups Brieussel, Jeremie Tanaka, Ryokichi Probability Group Theory We show that aperiodic random walks with finite second moment on virtually abelian groups are noise sensitive in total variation if and only if the group admits no nonzero homomorphism onto the infinite cyclic group. |
| title | Noise sensitivity on virtually abelian groups |
| topic | Probability Group Theory |
| url | https://arxiv.org/abs/2512.08151 |