Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation

DOI10.1090/psapm/075/00657zbMath1423.60157arXiv1804.05720OpenAlexW2963178907MaRDI QIDQ5241896

Jack Hanson

Publication date: 4 November 2019

Published in: Proceedings of Symposia in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05720

zbMATH Keywords

Busemann functionsfirst-passage percolationinfinite geodesics

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Processes in random environments (60K37)

Related Items (2)

The stationary horizon and semi-infinite geodesics in the directed landscape ⋮ Busemann functions, geodesics, and the competition interface for directed last-passage percolation

Cites Work

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• Bigeodesics in first-passage percolation
• Density and uniqueness in percolation
• Geodesics toward corners in first passage percolation
• Coexistence for Richardson type competing spatial growth models
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• Divergence of shape fluctuations in two dimensions
• Geodesics in two-dimensional first-passage percolation
• Busemann functions and infinite geodesics in two-dimensional first-passage percolation
• 50 Years of First-Passage Percolation
• First passage percolation and a model for competing spatial growth
• Random growth models: Shape and convergence rate
• Busemann functions, geodesics, and the competition interface for directed last-passage percolation

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