Gaussian fluctuations and a law of the iterated logarithm for Nerman’s martingale in the supercritical general branching process
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DOI: 10.1214/21-ejp727
Abstract: In his, by now, classical work from 1981, Nerman made extensive use of a crucial martingale $(W_t)_{t \geq 0}$ to prove convergence in probability, in mean and almost surely, of supercritical general branching processes (a.k.a.… read more here.
Keywords: iterated logarithm; general branching; supercritical general; nerman martingale ... See more keywords