Mixing rates for linear operators under infinitely divisible measures on Banach spaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908643807461376 |
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| author | Mau, Camille Privault, Nicolas |
| author_facet | Mau, Camille Privault, Nicolas |
| contents | We derive rates of convergence for the mixing of operators under infinitely divisible measures in the framework of linear dynamics on Banach spaces. Our approach is based on the characterization of mixing in terms of codifference functionals and control measures, and extends previous results obtained in the Gaussian setting via the use of covariance operators. Explicit mixing rates are obtained for weighted shifts under compound Poisson, α-stable, and tempered α-stable measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07791 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixing rates for linear operators under infinitely divisible measures on Banach spaces Mau, Camille Privault, Nicolas Probability Functional Analysis 37A25, 60G57, 60E07, 60G52, 37A05 We derive rates of convergence for the mixing of operators under infinitely divisible measures in the framework of linear dynamics on Banach spaces. Our approach is based on the characterization of mixing in terms of codifference functionals and control measures, and extends previous results obtained in the Gaussian setting via the use of covariance operators. Explicit mixing rates are obtained for weighted shifts under compound Poisson, α-stable, and tempered α-stable measures. |
| title | Mixing rates for linear operators under infinitely divisible measures on Banach spaces |
| topic | Probability Functional Analysis 37A25, 60G57, 60E07, 60G52, 37A05 |
| url | https://arxiv.org/abs/2511.07791 |