Exact uniform modulus of continuity for $q$-isotropic Gaussian random fields
We find sufficient conditions for the existence of an exact uniform modulus continuity for the class of $q$-isotropic Gaussian random fields introduced in Hinojosa-Calleja and Sanz-Solé (2021). We apply the result to a d-dimensional version of the $B^\gamma$ Gaussian processes defined in Mocioalca a...
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2023 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositório: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/219020 |
| Acesso em linha: | https://hdl.handle.net/2445/219020 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Camps aleatoris Processos gaussians Processos estocàstics Random fields Gaussian processes Stochastic processes |
| Resumo: | We find sufficient conditions for the existence of an exact uniform modulus continuity for the class of $q$-isotropic Gaussian random fields introduced in Hinojosa-Calleja and Sanz-Solé (2021). We apply the result to a d-dimensional version of the $B^\gamma$ Gaussian processes defined in Mocioalca and Viens (2005). |
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