Feller property and convergence for semigroups of time-changed processes

Ali BenAmor; Kazuhiro Kuwae

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arXiv · 2411.19543

Feller property and convergence for semigroups of time-changed processes

Ali BenAmor·Kazuhiro Kuwae

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Abstract

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.

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Ali BenAmor, Kazuhiro Kuwae. 2024-11-29. Feller property and convergence for semigroups of time-changed processes. https://arxiv.org/abs/2411.19543

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