The cone percolation model on Galton-Watson and on spherically symmetric trees

DOI10.1214/19-BJPS441zbMath1453.60158arXiv1510.02821OpenAlexW3045346774WikidataQ122112939 ScholiaQ122112939MaRDI QIDQ783277

Valdivino Vargas Junior, Fábio Prates Machado, Krishnamurthi Ravishankar

Publication date: 12 August 2020

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02821

zbMATH Keywords

epidemic modelGalton-Watson treesspherically symmetric treesrumour model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Time-dependent percolation in statistical mechanics (82C43)

Related Items (1)

Stochastic rumors on random trees

Cites Work

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• The cone percolation on \(\mathbb{T}_{d}\)
• The disk-percolation model on graphs
• The supercritical Galton-Watson process in varying environments
• Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
• Rumor processes in random environment on \(\mathbb N\) and on Galton-Watson trees
• Rumor processes on \(\mathbb N\) and discrete renewal processes
• Probability on Trees and Networks
• Rumor Processes on N

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