Cutoff in separation for compact harmonic manifold
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908778717249536 |
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| author | Coulibaly-Pasquier, Koléhè Bénéfice, Magalie |
| author_facet | Coulibaly-Pasquier, Koléhè Bénéfice, Magalie |
| contents | We show that cutoff in separation occurs for Brownian motion in some families of compact harmonic manifolds. We compute the cutoff time and windows in four families of compact harmonic manifold namely S n , CP n , HP n and RP n (the first three families are the only families of compact simply connected harmonic manifolds, see [19]). The proof is based on sharp strong stationary times and sufficiently accurate asymptotic expansions of their means and variances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14312 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cutoff in separation for compact harmonic manifold Coulibaly-Pasquier, Koléhè Bénéfice, Magalie Probability We show that cutoff in separation occurs for Brownian motion in some families of compact harmonic manifolds. We compute the cutoff time and windows in four families of compact harmonic manifold namely S n , CP n , HP n and RP n (the first three families are the only families of compact simply connected harmonic manifolds, see [19]). The proof is based on sharp strong stationary times and sufficiently accurate asymptotic expansions of their means and variances. |
| title | Cutoff in separation for compact harmonic manifold |
| topic | Probability |
| url | https://arxiv.org/abs/2601.14312 |