Brownian excursions on combs
- Cite this article as:
- Dean, D.S. & Jansons, K.M. J Stat Phys (1993) 70: 1313. doi:10.1007/BF01049434
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.