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We study the evolution of opinions on a directed network with community structure. Individuals update their opinions synchronously based on a weighted average of their neighbors' opinions, their own previous opinions, and external media…

概率论 · 数学 2024-01-17 Panagiotis Andreou , Mariana Olvera-Cravioto

The development of stochastic thermodynamics during the last decades prompted the discovery of novel nonequilibrium relations refining our understanding of the second law in small fluctuating systems and its connection with information…

物理与社会 · 物理学 2025-11-19 Luis Irisarri , Lucas Trigal , Raúl Toral , Gonzalo Manzano

We propose two different schemes of realizing a virtual walk corresponding to a kinetic exchange model of opinion dynamics. The walks are either Markovian or non-Markovian in nature. The opinion dynamics model is characterized by a…

统计力学 · 物理学 2022-06-09 Surajit Saha , Parongama Sen

We propose the PageRank model of opinion formation and investigate its rich properties on real directed networks of Universities of Cambridge and Oxford, LiveJournal and Twitter. In this model the opinion formation of linked electors is…

物理与社会 · 物理学 2012-10-11 Vivek Kandiah , Dima L. Shepelyansky

Social media sites are now becoming very important platforms for product promotion or marketing campaigns. Therefore, there is broad interest in determining ways to guide a site to react more positively to a product with a limited budget.…

社会与信息网络 · 计算机科学 2020-06-22 Pinghua Xu , Wenbin Hu , Jia Wu , Weiwei Liu

We propose a stochastic map model of economic dynamics. In the last decade, an array of observations in economics has been investigated in the econophysics literature, a major example being the universal features of inequality in terms of…

综合金融 · 定量金融 2015-05-27 Anindya S. Chakrabarti

In this paper, we investigate the role of uninformed individuals in consensus formation within opinion-swarming models for self-propelled particles. The proposed models are inspired by empirical observations in animal swarming, particularly…

物理与社会 · 物理学 2025-08-12 Gissell Estrada-Rodriguez , Victor Villegas-Morral , Marie-Therese Wolfram

A model for the joint evolution of opinions and how much the agents trust each other is presented. The model is built using the framework of the Continuous Opinions and Discrete Actions (CODA) model. Instead of a fixed probability that the…

物理与社会 · 物理学 2014-11-19 André C. R. Martins

We propose and investigate different kinetic models for opinion formation, when the opinion formation process depends on an additional independent variable, e.g. a leadership or a spatial variable. More specifically, we consider:(i) opinion…

物理与社会 · 物理学 2018-06-05 Bertram Düring , Marie-Therese Wolfram

In this paper, we propose a generalized opinion dynamics model (GODM), which can dynamically compute each person's expressed opinion, to solve the internal opinion maximization problem for social trust networks. In the model, we propose a…

组合数学 · 数学 2021-03-11 Changxiang He , Jiayuan Zeng , Shuting Liu , Guang Zhang , Xiaofei Qin , Xuedian Zhang , Lele Liu

We introduce a model of opinion dynamics based on networked non-linear differential equations. The model combines a linear attraction with a repulsive hyperbolic tangent interaction, labeled controversialness. For low controversialness the…

物理与社会 · 物理学 2025-12-08 Jake Boyce , Matteo Farina , Jody McKerral , Sergiy Shelyag , Mathew Zuparic

We give a detailed analysis of the Gibbs-type entropy notion and its dynamical behavior in case of time-dependent continuous probability distributions of varied origins: related to classical and quantum systems. The purpose-dependent usage…

量子物理 · 物理学 2015-06-26 Piotr Garbaczewski

Several cases of the Sznajd model of socio-physics, that only a group of people sharing the same opinion can convince their neighbors, have been simulated on a more realistic network with a stronger clustering. In addition, many opinions,…

统计力学 · 物理学 2009-11-10 A. O. Sousa

Aggregated data in real world recommender applications often feature fat-tailed distributions of the number of times individual items have been rated or favored. We propose a model to simulate such data. The model is mainly based on social…

物理与社会 · 物理学 2012-08-14 Marcel Blattner , Matus Medo

We study a model for social influence in which the agents' opinion is a continuous variable [G. Weisbuch et al., Complexity \textbf{7}, 2, 55 (2002)]. The convergent opinion adjustment process takes place as a result of random binary…

统计力学 · 物理学 2007-05-23 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

Monte Carlo simulations of a Sznajd model show that if a near-consensus is formed out of four initially equally widespread opinions, the one which at intermediate times is second in the number of adherents usually loses out against the…

统计力学 · 物理学 2007-05-23 Dietrich Stauffer

We study the damage spreading phenomena in two different ways in a opinion dynamics model introduced recently. This kinetic exchange type model is characterized by a fraction $q$ of negative interactions and shows the presence of an…

统计力学 · 物理学 2015-03-03 Abdul Khaleque , Parongama Sen

One of the fundamental issues in the field of open quantum systems is the classification and quantification of non-Markovianity. In the contest of quantity-based measures of non-Markovianity, the intuition of non-Markovianity in terms of…

量子物理 · 物理学 2018-01-24 Hong-Bin Chen , Guang-Yin Chen , Yueh-Nan Chen

We consider the ergodicity and consensus problem for a discrete-time linear dynamic model driven by random stochastic matrices, which is equivalent to studying these concepts for the product of such matrices. Our focus is on the model where…

最优化与控制 · 数学 2011-09-13 Behrouz Touri , Angelia Nedi'c

With the rapid growth of online social media, people become increasingly overwhelmed by the volume and the content of the information present in the environment. The threshold model is currently one of the most common methods to capture the…

社会与信息网络 · 计算机科学 2020-03-27 Ece C. Mutlu , Ivan Garibay
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