Fixation results for the two-feature Axelrod model with a variable number of opinions

DOI10.1007/s10959-015-0623-yzbMath1361.60093arXiv1407.6289OpenAlexW1520874651MaRDI QIDQ501829

Paul-Henri Moisson, Nicolas. Lanchier

Publication date: 10 January 2017

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6289

zbMATH Keywords

random walksinteracting particle systemsAxelrod modelfixation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Models of societies, social and urban evolution (91D10)

Related Items (4)

Probability of consensus in spatial opinion models with confidence threshold ⋮ Stochastic spatial model for the division of labor in social insects ⋮ Probability of consensus in the multivariate Deffuant model on finite connected graphs ⋮ Limiting behavior for a general class of voter models with confidence threshold

Cites Work

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• Fixation in the one-dimensional Axelrod model
• The Axelrod model for the dissemination of culture revisited
• Consensus in the two-state Axelrod model
• Flux and fixation in cyclic particle systems
• On the Williams-Bjerknes tumour growth model. I
• Ergodic theorems for weakly interacting infinite systems and the voter model
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• On the Williams-Bjerknes tumour growth model: II
• A model for spatial conflict

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