论文标题

保守派SPDE的成真和随机动力学系统

Ergodicity and random dynamical systems for conservative SPDEs

论文作者

Fehrman, Benjamin, Gess, Benjamin, Gvalani, Rishabh S.

论文摘要

从两个角度分析了一类保守SPDE的解决方案的动力学:首先,首次给出了相应的随机动态系统的概率构造。其次,显示了不变措施的存在和独特性,以及相关的马尔可夫过程的混合。

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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