A connection between a system of random walks and rumor transmission

DOI10.1016/j.physa.2013.07.073zbMath1395.60110OpenAlexW2074003746MaRDI QIDQ1673325

Elcio Lebensztayn, Pablo M. Rodríguez

Publication date: 11 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2013.07.073

zbMATH Keywords

frog modelrandom walkMaki-Thompson modelrumor transmission

Mathematics Subject Classification ID

Epidemiology (92D30) Social networks; opinion dynamics (91D30) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (8)

Frog models on trees through renewal theory ⋮ The Maki-Thompson rumor model on infinite Cayley trees ⋮ The coverage ratio of the frog model on complete graphs ⋮ Dynamical behaviors of rumor spreading model with control measures ⋮ The Role of Multiple Repetitions on the Size of a Rumor ⋮ Laws of large numbers for the frog model on the complete graph ⋮ Network navigation with non-Lèvy superdiffusive random walks ⋮ The asymptotic shape theorem for the frog model on finitely generated abelian groups

Cites Work

• Unnamed Item
• Unnamed Item
• A spatial stochastic model for rumor transmission
• Random walks systems on complete graphs
• On the size of a rumour
• Phase transition for the frog model
• The shape theorem for the frog model
• An improved upper bound for the critical probability of the frog model on homogeneous trees
• CLT for the proportion of infected incividuals for an epidemic model on a complete graph
• Nonhomogeneous random walks systems on ℤ
• Rumours with general initial conditions
• The proportion of the population never hearing a rumour

This page was built for publication: A connection between a system of random walks and rumor transmission