Dimension conservation of harmonic measures in products of hyperbolic spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908430596308992 |
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| author | Tanaka, Ryokichi |
| author_facet | Tanaka, Ryokichi |
| contents | We show that the harmonic measure on a product of boundaries satisfies dimension conservation for a random walk with non-elementary marginals on a countable group acting on a product of hyperbolic spaces under the finite first moment condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01661 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dimension conservation of harmonic measures in products of hyperbolic spaces Tanaka, Ryokichi Dynamical Systems Probability We show that the harmonic measure on a product of boundaries satisfies dimension conservation for a random walk with non-elementary marginals on a countable group acting on a product of hyperbolic spaces under the finite first moment condition. |
| title | Dimension conservation of harmonic measures in products of hyperbolic spaces |
| topic | Dynamical Systems Probability |
| url | https://arxiv.org/abs/2403.01661 |