论文标题
Banach空间中随机动力学系统的SRB测量表征
Characterization of SRB Measures for Random Dynamical Systems in a Banach space
论文作者
论文摘要
本文考虑了Banach空间中的$ C^2 $随机动力学系统，并证明在某些温和条件下，SRB测量的特征是不变的措施满足Pesin的熵公式，其中熵等于该系统的正Lyapunov指数的总和。这可以视为Blumenthal和Young的论文\ Cite {Young17}的主要结果的随机版本。
This paper considers $C^2$ random dynamical systems in a Banach space, and proves that under some mild conditions, SRB measures are characterized by invariant measures satisfying Pesin's entropy formula, in which entropy is equal to the sum of positive Lyapunov exponents of the system. This can be regarded as a random version of the main result in Blumenthal and Young's paper \cite{Young17}.
