研究了时间随机环境中的一维随机游动,如果环境是平稳遍历的,则在一定条件下满足大数定律和中心极限定理.特别地,当环境独立同分布时,可以得到更为具体的结果,该结果类似于经典的大数定律和中心极限定理的相应结论.
The one-dimensional random walk with random time-environments is considerd. When environmental process is stationary and ergodic, the model satisfies law of large numbers and central limit theorem under certain conditions. Especially in the case of independent and identically distributed environment, results corresponding to classical law of large numbers and central limit theorem are obtained.