Transversal fluctuations for a first passage percolation model

DOI10.1214/18-AIHP908zbMath1466.60195arXiv1605.05965OpenAlexW2964084918MaRDI QIDQ2320393

Wei Wu, Yu. Yu. Bakhtin

Publication date: 22 August 2019

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05965

zbMATH Keywords

first passage percolationPoissonian potentialsuperdiffusivitytransversal fluctuation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Cites Work

• Greedy polyominoes and first-passage times on random Voronoi tilings
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• Sublinear variance in first-passage percolation for general distributions
• Superdiffusive behavior of two-dimensional Brownian motion in a Poissonian potential
• Greedy lattice animals. I: Upper bounds
• Euclidean models of first-passage percolation
• First passage percolation has sublinear distance variance.
• Geodesics and spanning trees for Euclidean first-passage percolation.
• Divergence of shape fluctuations in two dimensions
• Geodesics in two-dimensional first-passage percolation
• The universal relation between scaling exponents in first-passage percolation
• A simplified proof of the relation between scaling exponents in first-passage percolation
• Superdiffusivity in first-passage percolation
• Space-time stationary solutions for the Burgers equation
• 50 Years of First-Passage Percolation
• Dynamic Scaling of Growing Interfaces
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