【摘要】 假设{Xn}是随机环境的马氏链,引入Hopf Markov链,在此基础上定义了绕积Markov链,用此方法,将正则马氏链下一类集合的分形维数的结果推广到了随机环境马氏链下一类集合,并且获得了相应的结论.更多还原

【Abstract】 Let {X_n} be a Markov Chain in random environment,defined on a probability space(Ω,F,μ) with finite state space.In this paper,we introduce Hopf Markov chain and skew product Markov chain.By this way,we study the properties of the Hausdorff dimension and packing dimension,and obtain the fractal dimension for some subsets on Markov chain in random environment,which is exlension of regular Markov chain.更多还原