R＋^d上重自相似马氏过程的位势性质

Potential Properties of Multi-self Similar Markov Processes on R＋^d

借助于重自相似马氏过程的Lamperti表现,讨论R+d-值的重自相似马氏过程的一些位势性质,给出了该过程常返与暂留性判定的一个充要条件,并给出了其(本性)极集判定的一个充要条件.

The paper discusses the potential properties of multi-self similar Markov processes on R＋^d- by multi dimensional Lamperti representation , gives a sufficient and necessary condition for recurrence and transience of the processes and gets a sufficient and necessary condition for judging the essential polar sets of the processes.