Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918229674295296 |
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| author | Gordina, Maria Luo, Liangbing |
| author_facet | Gordina, Maria Luo, Liangbing |
| contents | We construct a family of infinite-dimensional reduced Heisenberg groups which can be viewed as infinite-dimensional homogeneous spaces. Such a space is an analogue of finite-dimensional reduced Heisenberg groups in infinite dimensions. We study properties of the hypoelliptic heat kernel measure on this space, including hypoelliptic logarithmic Sobolev inequalities there. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03349 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups Gordina, Maria Luo, Liangbing Probability Differential Geometry Functional Analysis 60J65, 22E66, 58J65, 58B25, 43A15 We construct a family of infinite-dimensional reduced Heisenberg groups which can be viewed as infinite-dimensional homogeneous spaces. Such a space is an analogue of finite-dimensional reduced Heisenberg groups in infinite dimensions. We study properties of the hypoelliptic heat kernel measure on this space, including hypoelliptic logarithmic Sobolev inequalities there. |
| title | Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups |
| topic | Probability Differential Geometry Functional Analysis 60J65, 22E66, 58J65, 58B25, 43A15 |
| url | https://arxiv.org/abs/2512.03349 |