In this paper, by using the methods of functional analysis, the proof of an ergodic theorem was given. 利用泛函分析的方法给出一个遍历定理的另一证明。
On Characteristic Exponents Construction of a New Borel Set for the Multiplicative Ergodic Theorem for Vector Fields 关于特征指数:一个新的为向量场乘法遍历定理而构造的Borel集
In the paper, I will give the ergodic retraction theorem for the asymptotically nonexpansive type semigroup in uniformly convex Banach space. Theorem C. 本文在此基础上给出了渐近非扩张型半群的遍历压缩定理及其证明,这个遍历压缩定理对于文章中强收敛序列的构造起到了关键的作用。
Ergodic Convergence Theorem for Nonlinear Mappings in Banach Spaces Banach空间上非线性映照的遍历收敛定理
Ergodic Theorem for Infinite Iterated Function Systems 无穷迭代函数系统的遍历定理
We give an ergodic theorem for the dual of Feller operator. 本文给出关于Feller算子的对偶算子的一个遍历定理。
A ergodic theorem of birth-death chain of order 2 二重生灭链的一个遍历性定理
Moreover, the ergodic decomposition of self_ similar measure and an example of applying the generalized Elton's theorem are given. 与此同时,还给出了自相似测度的遍历分解以及一个应用推广的Elton定理的例子。
In this paper, we prove the ergodic theorem of a stationary set valued stochastic process by the representation theorem. 本文作为平稳集值随机过程的表示定理的应用,证明了平稳集值随机过程的遍历性定理。
Ergodic Theorem for the Super-Diffusion Processes 超扩散过程的遍历定理
The ergodic theorem of coupled Markov chain 关于马氏双链的遍历定理
Ergodic theorem OS stationary set valued stochastic processes 关于平稳集值随机过程的遍历性定理
As an application, an ergodic theorem for iterated function systems with probabilities is also derived, where the probability vectors are not constant. 作为应用,给出概率迭代函数系统中当概率向量不是常向量时的一个遍历定理。
A note on the ergodic theorem for quantized systems 量子系统的Ergodlc定理