Shape fluctuations are different in different directions

DOI10.1214/009117907000000213zbMath1130.60093arXivmath/0512537OpenAlexW2005053238MaRDI QIDQ2468430

Y. Zhang

Publication date: 22 January 2008

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512537

zbMATH Keywords

fluctuationsfirst passage percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (7)

Limit theorems for maximum flows on a lattice ⋮ Speed of convergence in first passage percolation and geodesicity of the average distance ⋮ Central limit theorem for first-passage percolation time across thin cylinders ⋮ Differentiability at the edge of the percolation cone and related results in first-passage percolation ⋮ Fluctuation lower bounds in planar random growth models ⋮ Sublinear variance in first-passage percolation for general distributions ⋮ Random growth models: Shape and convergence rate

Cites Work

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• Strict inequalities for the time constant in first passage percolation.
• Divergence of shape fluctuations in two dimensions
• Singularity points for first passage percolation
• The divergence of fluctuations for shape in first passage percolation

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