A uniform limit law for the branching measure on a Galton-Watson tree
There are proved a uniform asymptotic law for the branching measure on the boundary of a Galton-Watson tree, which is consistent with certain well-known uniform laws associated with Brownian motions. A certain spectrum formula arising from the uniform law is given. The formula has the same flavor as those in the article by \textit{N.-R. Shieh} and \textit{S. J. Taylor} [Stochastic Processes Appl. 75, No. 2, 249-261 (1998; Zbl 0932.60041)] for Brownian fast points and local times.
scientific article; zbMATH DE number 1563752