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Voter models on heterogeneous networks [PDF]
Physical Review E, 2008 13 pages, 9 figures, 2 column revetx4 format; version 2 is the final published version that contains minor changes in response to referee ...
Sood, V., Antal, Tibor, Redner, S.
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Role of Time Scales in the Coupled Epidemic-Opinion Dynamics on Multiplex Networks
Entropy, 2022 Modelling the epidemic’s spread on multiplex networks, considering complex human behaviours, has recently gained the attention of many scientists. In this work, we study the interplay between epidemic spreading and opinion dynamics on multiplex networks.
Robert Jankowski, Anna Chmiel
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Coarsening and persistence in the voter model [PDF]
Physical Review E, 1996 We investigate coarsening and persistence in the voter model by introducing the quantity $P_n(t)$, defined as the fraction of voters who changed their opinion n times up to time t. We show that $P_n(t)$ exhibits scaling behavior that strongly depends on the dimension as well as on the initial opinion concentrations.
Ben-Naim, E. +2 more
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Voter Model on Heterogeneous Graphs [PDF]
Physical Review Letters, 2005 4 pages, 4 figures, 2-column revtex4 format. Version 2 has been revised somewhat to account for referee comments.
Sood, V., Redner, S.
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Dynamical origins of the community structure of an online multi-layer society
New Journal of Physics, 2016 Social structures emerge as a result of individuals managing a variety of different social relationships. Societies can be represented as highly structured dynamic multiplex networks.
Peter Klimek +4 more
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The Annals of Applied Probability, 2019 Inspired by the spread of discontent as in the 2016 presidential election, we consider a voter model in which 0's are ordinary voters and 1's are zealots. Thinking of a social network, but desiring the simplicity of an infinite object that can have a nontrivial stationary distribution, space is represented by a tree.
Huo, Ran, Durrett, Rick
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Mitigation of adversarial attacks on voter model dynamics by network heterogeneity
Journal of Physics: Complexity, 2023 Voter model dynamics in complex networks are vulnerable to adversarial attacks. In particular, the voting outcome can be inverted by adding extremely small perturbations that are strategically generated in social networks, even when one opinion is ...
Katsumi Chiyomaru, Kazuhiro Takemoto
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Hydrodynamics of the Voter Model
The Annals of Probability, 1983 We study the voter model on $\mathbb{Z}^d, d \geqq 3$, for a sequence $\mu^\varepsilon$ of initial states which have a gradient in the mean magnetization of the order $\varepsilon, \varepsilon \rightarrow 0$. We prove that the magnetization field $m^\varepsilon(f, t) = \varepsilon^d \sum f(\varepsilon x)\eta(x, \varepsilon^{-2}t)$ tends to a ...
Presutti, Errico, Spohn, Herbert
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Design and implementation of adaptive mimic voting device oriented to persistent connection
Tongxin xuebao, 2022 Objectives: Mimic voter is a crucial component under the dynamic heterogeneous redundancy architecture of mimic defense technology,but the existing mimic voting method needs to collect and process the complete output data of heterogeneous redundant ...
Dacheng ZHOU +5 more
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Crossover phenomenon in adversarial attacks on voter model
Journal of Physics: Complexity, 2023 A recent study (Chiyomaru and Takemoto 2022 Phys. Rev. E 106 014301) considered adversarial attacks conducted to distort voter model dynamics in networks.
Shogo Mizutaka
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