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2019 Divergence of non-random fluctuation in First Passage Percolation
Shuta Nakajima
Electron. Commun. Probab. 24: 1-13 (2019). DOI: 10.1214/19-ECP267

Abstract

We study the non-random fluctuation in first passage percolation and show that it diverges. We also prove the divergence of non-random shape fluctuation, which was predicted in [Yu Zhang. The divergence of fluctuations for shape in first passage percolation. Probab. Theory. Related. Fields. 136(2) 298–320, 2006].

Citation

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Shuta Nakajima. "Divergence of non-random fluctuation in First Passage Percolation." Electron. Commun. Probab. 24 1 - 13, 2019. https://doi.org/10.1214/19-ECP267

Information

Received: 16 July 2018; Accepted: 19 September 2019; Published: 2019
First available in Project Euclid: 31 October 2019

zbMATH: 1423.60161
MathSciNet: MR4029434
Digital Object Identifier: 10.1214/19-ECP267

Subjects:
Primary: 60J10, 60J80, 60K35

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