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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2401.12765 |
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| _version_ | 1866917572817977344 |
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| author | Normand, Thomas |
| author_facet | Normand, Thomas |
| contents | We consider a semiclassical random walk with respect to a probability measure associated to a potential with a finite number of critical points. We recover the spectral results from [1] on the corresponding operator in a more general setting and with improved accuracy. In particular we do not make any assumption on the distribution of the critical points of the potential, in the spirit of [15]. Our approach consists in adapting the ideas from [15] to the recent gaussian quasimodes framework which appears to be more robust than the usual methods, especially when dealing with non local operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12765 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral analysis of a semiclassical random walk associated to a general confining potential Normand, Thomas Analysis of PDEs Spectral Theory We consider a semiclassical random walk with respect to a probability measure associated to a potential with a finite number of critical points. We recover the spectral results from [1] on the corresponding operator in a more general setting and with improved accuracy. In particular we do not make any assumption on the distribution of the critical points of the potential, in the spirit of [15]. Our approach consists in adapting the ideas from [15] to the recent gaussian quasimodes framework which appears to be more robust than the usual methods, especially when dealing with non local operators. |
| title | Spectral analysis of a semiclassical random walk associated to a general confining potential |
| topic | Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2401.12765 |