Strong mixing measures for $C_0$-semigroups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2013
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| _version_ | 1866917606117605376 |
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| author | Murillo-Arcila, Marina Peris, Alfredo |
| author_facet | Murillo-Arcila, Marina Peris, Alfredo |
| contents | Our purpose is to obtain a very effective and general method to prove that certain $C_0$-semigroups admit invariant strongly mixing measures. More precisely, we show that the Frequent Hypercyclicity Criterion for $C_0$-semigroups ensures the existence of invariant mixing measures with full support. We will several examples, that range from birth-and-death models to the Black-Scholes equation, which illustrate these results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1303_0327 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Strong mixing measures for $C_0$-semigroups Murillo-Arcila, Marina Peris, Alfredo Functional Analysis Dynamical Systems 37A25, 47A16 Our purpose is to obtain a very effective and general method to prove that certain $C_0$-semigroups admit invariant strongly mixing measures. More precisely, we show that the Frequent Hypercyclicity Criterion for $C_0$-semigroups ensures the existence of invariant mixing measures with full support. We will several examples, that range from birth-and-death models to the Black-Scholes equation, which illustrate these results. |
| title | Strong mixing measures for $C_0$-semigroups |
| topic | Functional Analysis Dynamical Systems 37A25, 47A16 |
| url | https://arxiv.org/abs/1303.0327 |