Cayley 树指标集马氏链的射线常返性

摘要

The author of this paper obtains the set of the Cayley tree boundary of ∂T C,2 ,studies the ray recurrence of the Markov chains of Cayley tree index set under the condition of unlimited root vertex,and concludes that the Markov chains of Cayley tree index show either strong recur-rence or nonrecurrence.%给出了 Cayley 树边界∂T C,2的集合形式,研究在不限定根顶点 O 的条件下,Cayley 树指标集马氏链的射线常返性,得出了 Cayley 树指标集马氏链或者强常返,或者非常返的结论。