The conservative part and positive recurrence of random walk in the random environment with red lamp;
一类红灯环境下随机游动的保守集和正常返性
A note on the recurrence of some delay stochastic differential systems;
关于一类时滞随机微分系统常返性的一点注记
This paper focuses on the recurrence of a derivative chain,with reflection barrier on the zero point,random walk on the right.
着重讨论了在0点上具有反射壁的右半直线上随机游动一个派生链的常返性和正常返性。
It is proved that transient and recurrent are invariant under h-trasformation of symmetric Dirichlet forms.
通过对称保正型（ε，D（ε））h-变换的暂留性、常返性和不可约性的讨论，证明了对称保正型的暂留性、常返性和不可约性在h-变换下是不变的，由此得到（ε，D（ε））h-结合的m-胎紧m-特殊标准马氏过程的相应性质。
Under the condition that the Q-matrix is regular and irreducible,the authors are able to give easy-checking recurrent and ergodicity criteria for such Markov minimal Q-processes by using construction theory of Q-processes.
研究具有突变率的全稳定广义生-灭最小Q过程的常返性和遍历性,在Q-矩阵是正则、不可约的条件下,利用Q过程的构造理论,获得广义生-灭最小Q过程是常返、遍历的易于检验的充分必要条件,并给出不变测度。
The conservative part and positive recurrence of random walk in the random environment with red lamp;
一类红灯环境下随机游动的保守集和正常返性
The criteria for positive recurrence and null recurrence in the recurrence are researched and some results in related literature are extended.
文章主要讨论半直线上独立随机环境中可逗留的随机游动的常返性与非常返性,进一步研究了常返性中的正常返和零常返准则,并推广了文献[4,6]中的有关结果。