First Passage Time Distribution and Number of Returns for Ultrametric Random Walk

V. A. Avetisov, A. Kh. Bikulov, A. P. Zubarev

In this paper, we consider a homogeneous Markov process ξ(t;ω) on an ultrametric space Q_p, with distribution density f(x,t), x in Q_p, t in R_+, satisfying the ultrametric diffusi…