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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2405.04242 |
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| _version_ | 1866911869757816832 |
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| author | Hopkalo, Olha Sakhno, Lyudmyla |
| author_facet | Hopkalo, Olha Sakhno, Lyudmyla |
| contents | The paper presents bounds for the distributions of suprema for a particular class of sub-Gaussian type random fields defined over spaces with anisotropic metrics. The results are applied to random fields related to stochastic heat equations with fractional noise: bounds for the tail distributions of suprema and estimates for the rate of growth are provided for such fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04242 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Investigation of sample paths properties of sub-Gaussian type random fields, with application to stochasic heat equations Hopkalo, Olha Sakhno, Lyudmyla Probability 35G10, 35R60, 60G20, 60G60 The paper presents bounds for the distributions of suprema for a particular class of sub-Gaussian type random fields defined over spaces with anisotropic metrics. The results are applied to random fields related to stochastic heat equations with fractional noise: bounds for the tail distributions of suprema and estimates for the rate of growth are provided for such fields. |
| title | Investigation of sample paths properties of sub-Gaussian type random fields, with application to stochasic heat equations |
| topic | Probability 35G10, 35R60, 60G20, 60G60 |
| url | https://arxiv.org/abs/2405.04242 |