The initial set in the frog model is irrelevant

DOI10.1214/20-ECP329zbMath1469.60321arXiv1912.10085OpenAlexW3045189182MaRDI QIDQ2201527

Sebastian Rosengrenï, Maria Deijfen

Publication date: 29 September 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10085

zbMATH Keywords

frog modelrandom walkcoexistencecompeting growthasymptotic shape

Mathematics Subject Classification ID

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

Related Items (1)

On transience of frogs on Galton-Watson trees

Cites Work

• Unnamed Item
• Phase transition for the frog model
• The shape theorem for the frog model
• Recurrence and transience of frogs with drift on \(\mathbb{Z}^d\)
• Competing frogs on \({\mathbb Z}^d\)
• The two-type Richardson model with unbounded initial configurations
• Branching and tree indexed random walks on fractals
• The Initial Configuration is Irrelevant for the Possibility of Mutual Unbounded Growth in the Two-Type Richardson Model

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