The cone percolation on \(\mathbb{T}_{d}\)

DOI10.1214/12-BJPS212zbMath1310.60139arXiv1011.5691MaRDI QIDQ462131

Mauricio Zuluaga, Fábio Prates Machado, Valdivino Vargas Junior

Publication date: 15 October 2014

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

Full work available at URL: https://arxiv.org/abs/1011.5691

zbMATH Keywords

branching processepidemic modeldisk-percolationrumor model

Mathematics Subject Classification ID

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

Related Items (7)

Rumour propagation among sceptics: the Markovian case ⋮ Frog models on trees through renewal theory ⋮ On the probability of rumour survival among sceptics ⋮ On rumour propagation among sceptics ⋮ The Rumor Percolation Model and Its Variations ⋮ The cone percolation model on Galton-Watson and on spherically symmetric trees ⋮ Stochastic rumors on random trees

Cites Work

• 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 on N
• Long range percolation in stationary point processes
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