Shape of territories in some competing growth models

DOI10.1214/105051607000000113zbMath1132.60326arXivmath/0607226OpenAlexW3100268495MaRDI QIDQ2467604

Jean-Baptiste Gouéré

Publication date: 28 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0607226

zbMATH Keywords

first-passage percolationcompeting growth model

Mathematics Subject Classification ID

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

Related Items (5)

Continuous first-passage percolation and continuous greedy paths model: Linear growth ⋮ Measure-valued growth processes in continuous space and growth properties starting from an infinite interface ⋮ 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

Cites Work

• Geodesics in first passage percolation
• Coexistence for Richardson type competing spatial growth models
• Coexistence in two-type first-passage percolation models
• Multitype shape theorems for first passage percolation models
• First passage percolation and a model for competing spatial growth
• Asymptotic shape in a continuum growth model
• Coexistence in a two-type continuum growth model
• A stochastic model for competing growth on $\mathbb{R}^d$
• Unnamed Item
• Unnamed Item

This page was built for publication: Shape of territories in some competing growth models