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arXiv · 1804.09533

Divergence of non-random fluctuation in First Passage Percolation

Shuta Nakajima
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Abstract

We study non-random fluctuation in the first passage percolation on $\mathbb{Z}^d$ 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. {\em Probab. Theory. Related. Fields.} 136(2) 298--320, 2006].

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Shuta Nakajima. 2018-04-25. Divergence of non-random fluctuation in First Passage Percolation. https://arxiv.org/abs/1804.09533

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