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2003 Strict Convexity of the Limit Shape in First-Passage Percolation
Steven Lalley
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Electron. Commun. Probab. 8: 135-141 (2003). DOI: 10.1214/ECP.v8-1089

Abstract

Sufficient conditions are given for the strict convexity of the limit shape in standard first-passage percolation. These conditions involve (1) asymptotic ``straightness'' of the geodesics, and (2) existence of mean-zero limit distributions for the first-passage times.

Citation

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Steven Lalley. "Strict Convexity of the Limit Shape in First-Passage Percolation." Electron. Commun. Probab. 8 135 - 141, 2003. https://doi.org/10.1214/ECP.v8-1089

Information

Accepted: 7 November 2003; Published: 2003
First available in Project Euclid: 18 May 2016

zbMATH: 1060.60098
MathSciNet: MR2042752
Digital Object Identifier: 10.1214/ECP.v8-1089

Subjects:
Primary: 60K35

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