An explicit formula of the limit of the heat kernel measures on the spheres embedded in $\mathbb {R}^\infty$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912688139927552 |
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| author | Doan, Minh-Luan O'Dorney, Evan |
| author_facet | Doan, Minh-Luan O'Dorney, Evan |
| contents | We show that the heat kernel measures based at the north pole of the spheres $S^{N-1}(\sqrt N)$, with properly scaled radius $\sqrt N$ and adjusted center, converge to a Gaussian measure in $\mathbb R^\infty$, and find an explicit formula for this measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25855 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An explicit formula of the limit of the heat kernel measures on the spheres embedded in $\mathbb {R}^\infty$ Doan, Minh-Luan O'Dorney, Evan Probability Functional Analysis We show that the heat kernel measures based at the north pole of the spheres $S^{N-1}(\sqrt N)$, with properly scaled radius $\sqrt N$ and adjusted center, converge to a Gaussian measure in $\mathbb R^\infty$, and find an explicit formula for this measure. |
| title | An explicit formula of the limit of the heat kernel measures on the spheres embedded in $\mathbb {R}^\infty$ |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/2510.25855 |