A note on small probabilities for spherical random fields at a critical regime
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909733768658944 |
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| author | Carfagnini, Marco |
| author_facet | Carfagnini, Marco |
| contents | We consider time-dependent space isotropic and time stationary spherical Gaussian random fields. We establish Chung's law of the iterated logarithm and solve the small probabilities problem. Our results depend on the high-frequency behaviour of the angular power spectrum: the speed of decay of the small ball probability is faster as either the memory parameter or the space-parameter decreases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on small probabilities for spherical random fields at a critical regime Carfagnini, Marco Probability We consider time-dependent space isotropic and time stationary spherical Gaussian random fields. We establish Chung's law of the iterated logarithm and solve the small probabilities problem. Our results depend on the high-frequency behaviour of the angular power spectrum: the speed of decay of the small ball probability is faster as either the memory parameter or the space-parameter decreases. |
| title | A note on small probabilities for spherical random fields at a critical regime |
| topic | Probability |
| url | https://arxiv.org/abs/2508.08562 |