Probabilistic Method to Fundamental gap problems on the sphere
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929443358900224 |
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| author | Cho, Gunhee Wei, Guofang Yang, Guang |
| author_facet | Cho, Gunhee Wei, Guofang Yang, Guang |
| contents | We provide a probabilistic proof of the fundamental gap estimate for Schrödinger operators in convex domains on the sphere, which extends the probabilistic proof of F. Gong, H. Li, and D. Luo for the Euclidean case. Our results further generalize the results achieved for the Laplacian by S. Seto, L. Wang, and G. Wei, as well as by C. He, G. Wei, and Qi S. Zhang. The essential ingredient in our analysis is the reflection coupling method on Riemannian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02808 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Probabilistic Method to Fundamental gap problems on the sphere Cho, Gunhee Wei, Guofang Yang, Guang Probability Differential Geometry We provide a probabilistic proof of the fundamental gap estimate for Schrödinger operators in convex domains on the sphere, which extends the probabilistic proof of F. Gong, H. Li, and D. Luo for the Euclidean case. Our results further generalize the results achieved for the Laplacian by S. Seto, L. Wang, and G. Wei, as well as by C. He, G. Wei, and Qi S. Zhang. The essential ingredient in our analysis is the reflection coupling method on Riemannian manifolds. |
| title | Probabilistic Method to Fundamental gap problems on the sphere |
| topic | Probability Differential Geometry |
| url | https://arxiv.org/abs/2310.02808 |