Logarithmic fluctuations of Stationary Hastings-Levitov
Abstract
We prove that the fluctuation field \Mt(x)\x∈R of stationary Hastings-Levitov(0) exhibits logarithmic spatial correlations. Moreover, by studying the infinitesimal generator of the imaginary part of Mt(0), we show that for some β>0, x∈[0,t]Im Mt(x)<β t with high probability, as t∞.
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