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arXiv · 2206.14789

Ergodicity and random dynamical systems for conservative SPDEs

Benjamin Fehrman·Benjamin Gess·Rishabh S. Gvalani
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Abstract

The dynamics of the solutions to a class of conservative SPDEs are analysed from two perspectives: Firstly, a probabilistic construction of a corresponding random dynamical system is given for the first time. Secondly, the existence and uniqueness of invariant measures, as well as mixing for the associated Markov process is shown.

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Benjamin Fehrman, Benjamin Gess, Rishabh S. Gvalani. 2022-06-29. Ergodicity and random dynamical systems for conservative SPDEs. https://arxiv.org/abs/2206.14789

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