Approximate Transitivity of Young Translation on Rough Paths
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917547294588928 |
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| author | Bellingeri, Carlo Gassiat, Paul Nouaille, Hugo |
| author_facet | Bellingeri, Carlo Gassiat, Paul Nouaille, Hugo |
| contents | We show that Young translation has dense orbits in the space of rough paths: for any two geometric rough paths, one can translate the first by a sequence of smooth paths so that it converges to the second in rough path topology. As applications, we obtain full-support criteria for rough paths arising from random series and Gaussian processes, including non-centered fractional Brownian rough paths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30869 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Approximate Transitivity of Young Translation on Rough Paths Bellingeri, Carlo Gassiat, Paul Nouaille, Hugo Probability 60L20, 60G15, 60G17 We show that Young translation has dense orbits in the space of rough paths: for any two geometric rough paths, one can translate the first by a sequence of smooth paths so that it converges to the second in rough path topology. As applications, we obtain full-support criteria for rough paths arising from random series and Gaussian processes, including non-centered fractional Brownian rough paths. |
| title | Approximate Transitivity of Young Translation on Rough Paths |
| topic | Probability 60L20, 60G15, 60G17 |
| url | https://arxiv.org/abs/2605.30869 |