Feller property and convergence for semigroups of time-changed processes
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909847936565248 |
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| author | BenAmor, Ali Kuwae, Kazuhiro |
| author_facet | BenAmor, Ali Kuwae, Kazuhiro |
| contents | We give a substitute to Feller property for semigroups of time-changed processes; under some conditions this leads to establish sufficient (new) conditions for the semigroups to be Feller. Moreover, given a standard process and a sequence of measures converging vaguely to a final measure, under some assumptions, we establish convergence of the sequence of the semigroups and the resolvents of the corresponding time changed-processes. Some applications are given: convergence of solutions of evolution equations and convergence of finite time distributions, as well as weak convergence of the related processes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_19543 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Feller property and convergence for semigroups of time-changed processes BenAmor, Ali Kuwae, Kazuhiro Probability Functional Analysis Primary 60J25, 60J40, 60J45, 60G53, secondary 31C15, 31C25, 60J46 We give a substitute to Feller property for semigroups of time-changed processes; under some conditions this leads to establish sufficient (new) conditions for the semigroups to be Feller. Moreover, given a standard process and a sequence of measures converging vaguely to a final measure, under some assumptions, we establish convergence of the sequence of the semigroups and the resolvents of the corresponding time changed-processes. Some applications are given: convergence of solutions of evolution equations and convergence of finite time distributions, as well as weak convergence of the related processes. |
| title | Feller property and convergence for semigroups of time-changed processes |
| topic | Probability Functional Analysis Primary 60J25, 60J40, 60J45, 60G53, secondary 31C15, 31C25, 60J46 |
| url | https://arxiv.org/abs/2411.19543 |