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Название: Brownian Excursions on Combs
Авторы: Dean D.S., Jansons K.M.
Journal of Statistical Physics, Vol. 70, Nos. 5/6, 1993. p. 1313-1332.
In this paper we use techniques from Ito excursion theory to analyze Brownian motion on generalized combs. Ito excursion theory is a little-known area of probability theory and we therefore present a brief introduction for the uninitiated. A general method for analyzing transport along the backbone of the comb is demonstrated and the specific case of a comb whose teeth are scaling branching trees is examined. We then present a recursive method for evaluating the distribution of the first passage times on hierarchical combs.