Regularity of paths of stochastic measures
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914946423455744 |
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| author | Radchenko, Vadym |
| author_facet | Radchenko, Vadym |
| contents | Random functions $μ(x)$, generated by values of stochastic measures are considered. The Besov regularity of the continuous paths of $μ(x)$, $x\in[0,1]^d$ is proved. Fourier series expansion of $μ(x)$, $x\in[0,2π]$ is obtained. These results are proved under weaker conditions than similar results in previous papers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06497 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of paths of stochastic measures Radchenko, Vadym Probability 60G17, 60H05 Random functions $μ(x)$, generated by values of stochastic measures are considered. The Besov regularity of the continuous paths of $μ(x)$, $x\in[0,1]^d$ is proved. Fourier series expansion of $μ(x)$, $x\in[0,2π]$ is obtained. These results are proved under weaker conditions than similar results in previous papers. |
| title | Regularity of paths of stochastic measures |
| topic | Probability 60G17, 60H05 |
| url | https://arxiv.org/abs/2409.06497 |