Regularity of multiplicative processes on infinite-dimensional Lie groups
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911587351134208 |
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| author | Behme, Anita Riedle, Markus Thaqi, Shend |
| author_facet | Behme, Anita Riedle, Markus Thaqi, Shend |
| contents | This article studies regularity properties of multiplicative stochastic processes on infinite-dimensional Lie groups. We investigate conditions under which these processes admit càdlàg modifications and derive bounds on their local behavior. Our approach builds on the local equivalence of Banach-Lie groups and Banach spaces via the exponential and logarithm, allowing us to transfer analytic estimates and structural results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17284 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularity of multiplicative processes on infinite-dimensional Lie groups Behme, Anita Riedle, Markus Thaqi, Shend Probability 60B20, 60G07, 60J57, 60J25, 60J76 This article studies regularity properties of multiplicative stochastic processes on infinite-dimensional Lie groups. We investigate conditions under which these processes admit càdlàg modifications and derive bounds on their local behavior. Our approach builds on the local equivalence of Banach-Lie groups and Banach spaces via the exponential and logarithm, allowing us to transfer analytic estimates and structural results. |
| title | Regularity of multiplicative processes on infinite-dimensional Lie groups |
| topic | Probability 60B20, 60G07, 60J57, 60J25, 60J76 |
| url | https://arxiv.org/abs/2511.17284 |