Brownian path preserving mappings on the Heisenberg group
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911248187129856 |
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| author | Evseev, Nikita |
| author_facet | Evseev, Nikita |
| contents | We study continuous mappings on the Heisenberg group that up to a time change preserve horizontal Brownian motion. It is proved that only harmonic morphisms possess this property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_02258 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Brownian path preserving mappings on the Heisenberg group Evseev, Nikita Probability Classical Analysis and ODEs Metric Geometry We study continuous mappings on the Heisenberg group that up to a time change preserve horizontal Brownian motion. It is proved that only harmonic morphisms possess this property. |
| title | Brownian path preserving mappings on the Heisenberg group |
| topic | Probability Classical Analysis and ODEs Metric Geometry |
| url | https://arxiv.org/abs/2211.02258 |