A general model of random walk in time-random environment in any denumerable space is established. 文章在可数状态空间中建立了时间随机环境下随机游动的一个广泛的模型。
Notes on Convergence by Power for Homogeneous Denumerable Markov Chains 齐次可列马尔科夫链幂收敛性的注记
Strong limit and entrance decomposition for denumerable Markov processes 可列马氏过程的强极限和流入分解
The construction theory of denumerable Markov processes 可数的马尔可夫过程的构造理论
The differentiation properties of denumerable and homogeneous Markov processes had been studied by Austin and Shuai yuan-zhu In this paper most of theorems in shuai have been extended to Homogeneous Makov processes in abstract space. 可数齐次马氏过程的微分性质已由Austin和帅元祖所研究,本文将帅元祖的大部分结果推广到抽象空间。
Continuously varying the trap frequency between two neighboring points of the denumerable infinite set, from the quantum perturbation technique we find the energy-band structure based on the exact discrete spectra in which the bands are narrower and the gaps wider. 在该点集内两相邻点之间连续变化阱频,由量子微扰法得到以精确分立谱为基础的能带结构,包括较宽的能隙和较窄的带宽。
How to find P ( t),Ψ(λ) or A when Q matrix is given in fact is the key problem in denumerable Markov processes i.e. construction problem of Q process. In ref. 而对于给定的矩阵Q如何求出P(t),Ψ(λ),或A的问题,实际上是可列马尔可夫过程的一个核心问题:即Q过程的构造问题。
In this Paper, we discuss several properties of reversible for denumerable Markov chain. 本文是在文献[1]、[2]的基础之上,讨论了具有可列状态的马尔可夫链&可列马氏链的可逆性问题,给出了可逆可列马氏链所具有的一系列性质,特别是齐时性;
A necessary and sufficient condition of random potential function for denumerable Markov chain in random environment is provided, and the unique decomposition property of nonnegative random super-regular function is discussed. 给出随机环境中可数状态马氏链的随机位势函数的一个充要条件,并讨论了非负随机上正则函数的惟一分解性。
In this paper, a proof of the theorem on "Any two denumerable Boolean algebras with atoms of the same finite number are isomorphic" is given. 在这篇论文中,定理任意两个具有相同有限个原子的可数无穷布尔代数是同构的的一个证明被给出。
This text is on the basis of mathematics model of Markov chain in random environment that Cogburn sets up, the several relevant problems potential of denumerable Markov chain in random environment are researched mainly. 本文是在Cogburn建立的随机环境中Markov链的数学模型的基础上,主要研究随机环境中可数Markov链的位势的几个相关问题。
In this paper the properties and fixed point theorems of completely continuous maps on denumerable norm spaces are studied. 本文讨论可数模空间上全连续算子的有限维逼近定理及该空间的一些性质。
On Potential for Denumerable Markov Chain in Random Environment 关于随机环境中可数马氏链的位势
No-stationary MDP model with the average criterion& the denumerable state space case 非平稳MDP平均模型&状态空间可数情形
The results show that the eigenvalues of the boundary-value problem form a denumerable set, and the eigenvalue approaches infinity. 结果表明边值问题的特征值构成一个可数集,并且特征值趋向于无穷大。
U intervals for denumerable Markov processes 可列马尔科夫过程的U区间
The permutation of the finite set is introduced into the denumerable set as well as the definition of the basic rotation, the rotation and the composition of the countability. 把有限集中的置换推广到可数集上,引入基轮换、轮换及变换的可数次合成等概念的定义。
Finally, the potential of denumerable Markov chain in random environment is preliminary that we have studied. 最后,我们研究了随机环境中可数Markov链的位势初步。