ergodic theorems

Mean ergodic theorems for square sequence with random weights

随机加权平方序列的平均遍历定理

Ergodic theorems and the existence of invariant measures are two major topics in Ergodic theory .

遍历定理和不变测度的存在性是遍历理论中的二个基本研究主题。

Nonlinear Ergodic Theorems for Commutative Semigroups in Banach Spaces

Banach空间中非Lipschitzian交换非线性拓扑半群的遍历理论

Ergodic Theorems for Reversible Semigroups of Asymptotically Nonexpansive Type

可逆的渐近非扩张型半群的遍历定理

The mean ergodic theorems for square sequence with random weights is obtained by using the method of Fourier analysis and the symmetrization as well as Gaussian randomization .

利用Fourier分析方法已及概率论中的对称化和Gaussian化方法，证明了带有随机加权项的平方序列的平均遍历定理。