Asymptotic shapes for stationary first passage percolation
From MaRDI portal
Publication:1917191
DOI10.1214/aop/1176987792zbMath0852.60104OpenAlexW2026270448MaRDI QIDQ1917191
Olle Häggström, Ronald W. J. Meester
Publication date: 8 December 1996
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176987792
Related Items
First passage percolation on hyperbolic groups ⋮ Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups ⋮ Effective Fronts of Polygon Shapes in Two Dimensions ⋮ First passage percolation on \(\mathbb {Z}^2\): a simulation study ⋮ Weakly mixing smooth planar vector field without asymptotic directions ⋮ Examples of nonpolygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models ⋮ Busemann functions and infinite geodesics in two-dimensional first-passage percolation ⋮ Differentiability at the edge of the percolation cone and related results in first-passage percolation ⋮ Geodesics toward corners in first passage percolation ⋮ Geodesic rays and exponents in ergodic planar first passage percolation ⋮ Bigeodesics in first-passage percolation ⋮ Eigenvalue versus perimeter in a shape theorem for self-interacting random walks ⋮ Geodesics in first passage percolation ⋮ The asymptotic shape theorem for generalized first passage percolation ⋮ Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster ⋮ Coexistence for Richardson type competing spatial growth models ⋮ Last passage percolation in an exponential environment with discontinuous rates ⋮ Random growth models: Shape and convergence rate ⋮ Busemann functions, geodesics, and the competition interface for directed last-passage percolation ⋮ Exact limiting shape for a simplified model of first-passage percolation on the plane ⋮ Strongly mixing smooth planar vector field without asymptotic directions
