Divergence of non-random fluctuation in First Passage Percolation
Abstract
We study non-random fluctuation in the first passage percolation on Zd and show that it diverges for any dimension. We also prove the divergence of the non-random shape fluctuation, which was conjectured in [Yu Zhang. The divergence of fluctuations for shape in first passage percolation. Probab. Theory. Related. Fields. 136(2) 298--320, 2006].
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