论文标题
希尔伯特空间上通勤转变的熵
Entropies of commuting transformations on Hilbert spaces
论文作者
论文摘要
通过在本文中建立在可分离的无限尺寸希尔伯特空间上的乘法千古定理，以通过其通勤生成器进行有限生成的随机变换，以研究Pesin的熵公式和SRB测量。此外，作为一个应用程序，我们为某些$ c^{2} $ $ $ \ mathbb {n}^2 $ -actions提供了弗里德兰熵的公式。
By establishing Multiplicative Ergodic Theorem for commutative transformations on a separable infinite dimensional Hilbert space, in this paper, we investigate Pesin's entropy formula and SRB measures of a finitely generated random transformations on such space via its commuting generators. Moreover, as an application, we give a formula of Friedland's entropy for certain $C^{2}$ $\mathbb{N}^2$-actions.
