Common frequently hypercyclic random vectors
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909022779604992 |
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| author | Mouze, Augustin Munnier, Vincent |
| author_facet | Mouze, Augustin Munnier, Vincent |
| contents | We study common frequently hypercyclic vectors for countable families of weighted backward shifts acting on $\ell_p$ spaces, $1\leq p<\infty$. Using probabilistic techniques, we develop a general existence criterion, complemented by a non-existence result. These insights are then applied to the specific setting of countable families of polynomials of weighted backward shifts, providing conditions under which they share a common frequently hypercyclic vector. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06573 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Common frequently hypercyclic random vectors Mouze, Augustin Munnier, Vincent Functional Analysis 47A16, 47B37 We study common frequently hypercyclic vectors for countable families of weighted backward shifts acting on $\ell_p$ spaces, $1\leq p<\infty$. Using probabilistic techniques, we develop a general existence criterion, complemented by a non-existence result. These insights are then applied to the specific setting of countable families of polynomials of weighted backward shifts, providing conditions under which they share a common frequently hypercyclic vector. |
| title | Common frequently hypercyclic random vectors |
| topic | Functional Analysis 47A16, 47B37 |
| url | https://arxiv.org/abs/2605.06573 |