Three-state majority-vote model on small-world networks

BJ Zubillaga, ALM Vilela, M Wang, R Du, G Dong… - Scientific Reports, 2022 - nature.com
In this work, we study the opinion dynamics of the three-state majority-vote model on small-
world networks of social interactions. In the majority-vote dynamics, an individual adopts the …

Entropy production on cooperative opinion dynamics

IVG Oliveira, C Wang, G Dong, R Du, CE Fiore… - Chaos, Solitons & …, 2024 - Elsevier
As one of the most widespread social dynamics, cooperative behavior is among the most
fascinating collective phenomena. Several animal species, from social insects to human …

Effect of strong opinions on the dynamics of the majority-vote model

ALM Vilela, HE Stanley - Scientific reports, 2018 - nature.com
We study how the presence of individuals with strong opinions affects a square lattice
majority-vote model with noise. In a square lattice network we perform Monte-Carlo …

The public opinion evolution under group interaction in different information features

J Wei, Y Jia, Y Zhang, H Zhu, W Huang - Complexity, 2022 - Wiley Online Library
Before expressing opinions, most people usually consider the standpoint of their friends
nearby to avoid being isolated, which may lead to the herding effect. The words of celebrities …

Three-state majority-vote model on scale-free networks and the unitary relation for critical exponents

ALM Vilela, BJ Zubillaga, C Wang, M Wang, R Du… - Scientific Reports, 2020 - nature.com
We investigate the three-state majority-vote model for opinion dynamics on scale-free and
regular networks. In this model, an individual selects an opinion equal to the opinion of the …

Opinion dynamics systems on barabási–albert networks: Biswas–Chatterjee–Sen model

DSM Alencar, TFA Alves, GA Alves, A Macedo-Filho… - Entropy, 2023 - mdpi.com
A discrete version of opinion dynamics systems, based on the Biswas–Chatterjee–Sen
(BChS) model, has been studied on Barabási–Albert networks (BANs). In this model …

Stochastic recursions on directed random graphs

N Fraiman, TC Lin, M Olvera-Cravioto - Stochastic Processes and their …, 2023 - Elsevier
For a vertex-weighted directed graph G (V n, E n; A n) on the vertices V n={1, 2,…, n}, we
study the distribution of a Markov chain {R (k): k≥ 0} on R n such that the i th component of …

Short-time Monte Carlo simulation of the majority-vote model on cubic lattices

KP do Nascimento, LC de Souza, AJF de Souza… - Physica A: Statistical …, 2021 - Elsevier
We perform short-time Monte Carlo simulations to study the criticality of the isotropic two-
state majority-vote model on cubic lattices of volume N= L 3, with L up to 2048. We obtain …

Modeling Dynamic Processes on Complex Networks

TC Lin - 2023 - search.proquest.com
The dissertation studies dynamic processes driven by neighbor-to-neighbor interactions
defined on graphs. The first portion establishes a mathematical framework for Markov …

[图书][B] The Statistical Mechanics of Societies: Opinion Formation Dynamics and Financial Markets

BJZ Herrera - 2020 - search.proquest.com
This work proposes a three-state microscopic opinion formation model based on the
stochastic dynamics of the three-state majority-vote model. In order to mimic the …