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Opinion dynamics, the study of how individual beliefs and collective public opinion evolve, is a fertile domain for applying statistical physics to complex social phenomena. Like physical systems, societies exhibit macroscopic regularities…

The purpose of this paper is to present an idealized hypotheses-drawn model describing dynamics of variability in business and other social areas. A new construct is introduced called the Bayesian space of assessments to consider changes in…

Optimization and Control · Mathematics 2024-06-13 Michael Zhdanov

Social physics is the application of ideas, concepts and tools from physics to study social phenomena. In this article, we present a mechanical theory underlying a mathematical treatment of social physics. We explore the possibility of…

Physics and Society · Physics 2024-02-28 VS Morales-Salgado

Focusing on a specific crowd dynamics situation, including real life experiments and measurements, our paper targets a twofold aim: (1) we present a Bayesian probabilistic method to estimate the value and the uncertainty (in the form of a…

Data Analysis, Statistics and Probability · Physics 2018-04-12 Alessandro Corbetta , Adrian Muntean , Federico Toschi , Kiamars Vafayi

Social balance theory describes allowable and forbidden configurations of the topologies of signed directed social appraisal networks. In this paper, we propose two discrete-time dynamical systems that explain how an appraisal network…

Social and Information Networks · Computer Science 2019-09-16 Wenjun Mei , Pedro Cisneros-Velarde , Ge Chen , Noah E. Friedkin , Francesco Bullo

The motion of pedestrian crowds (e.g. for simulation of an evacuation situation) can be modeled as a multi-body system of self driven particles with repulsive interaction. We use a few simple situations to determine the simplest allowed…

Physics and Society · Physics 2009-12-04 B. Steffen

The aim of this work is to implement a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. A class of simple mean field discrete models is introduced and discussed both from the theoretical…

Physics and Society · Physics 2008-11-20 Ignacio Gallo , Adriano Barra , Pierluigi Contucci

Social dynamics determined by voting in a stochastic environment is analyzed for a society composed of two cohesive groups of similar size. Within the model of random walks determined by voting, explicit formulas are derived for the capital…

Multiagent Systems · Computer Science 2011-09-21 P. Yu. Chebotarev , A. K. Loginov , Ya. Yu. Tsodikova , Z. M. Lezina , V. I. Borzenko

The challenge of understanding the collective behaviors of social systems can benefit from methods and concepts from physics [1-6], not because humans are similar to electrons, but because certain large-scale behaviors can be understood…

Physics and Society · Physics 2020-08-20 Alexander Siegenfeld , Yaneer Bar-Yam

There exists a wide variety of works on the dynamics of large populations ranging from simple heuristic modeling to those based on advanced computer supported methods. Their interconnections, however, remain mostly vague, which…

Dynamical Systems · Mathematics 2023-04-27 Yuri Kozitsky , Krzysztof Pilorz

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams

Consider a community where initially, each individual is positive or negative regarding a reform proposal. In each round, individuals gather randomly in fixed rooms of different sizes, and all individuals in a room agree on the majority…

Data Structures and Algorithms · Computer Science 2019-05-01 Bernd Gärtner , Ahad N. Zehmakan

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

Machine Learning · Statistics 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari

Polarization is a problem in modern society. Understanding how opinions evolve through social interactions is crucial for addressing conditions that lead to polarization, consensus, or opinion diversity. Classical opinion dynamics models…

Physics and Society · Physics 2026-03-06 Brian Mintz , Daniel Simonson , Dominik Wodarz , Feng Fu , Natalia L. Komarova

In this paper, we argue that some fundamental concepts and tools of signal processing may be effectively applied to represent and interpret social cognition processes. From this viewpoint, individuals or, more generally, social stimuli are…

Spectral Theory · Mathematics 2021-09-30 Anne Maass , Michele Pavon , Caterina Suitner

The Social Force Model of pedestrian dynamics is formulated in a way that a) most of its parameters do not have an immediate interpretation, b) often one single parameter has an impact on many aspects of walking behavior and c) a certain…

Physics and Society · Physics 2018-01-03 Tobias Kretz , Jochen Lohmiller , Peter Sukennik

We investigate opinion dynamics and information spreading on networks under the influence of content filtering technologies. The filtering mechanism, present in many online social platforms, reduces individuals' exposure to disagreeing…

Physics and Society · Physics 2024-01-26 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

We demonstrate the emergence of self-organized structures in the course of the relaxation of an initially excited, dissipative and finite chain of interacting particles in a periodic potential towards its many particle equilibrium…

Adaptation and Self-Organizing Systems · Physics 2016-08-19 Benno Liebchen , Peter Schmelcher

Political polarization has been a subject that has attracted many studies in recent years. We have developed an opinion dynamics model with affective homophily effect and national social norm effect to describe this phenomenon. The time…

Physics and Society · Physics 2025-09-03 Zhang Xiaoming , Hu Yuzhong , Zhang Yiming

Periodic recurrence is a prominent behavioural of many biological phenomena, including cell cycle and circadian rhythms. Although deterministic models are commonly used to represent the dynamics of periodic phenomena, it is known that they…

Formal Languages and Automata Theory · Computer Science 2024-05-16 Paolo Ballarini , Mahmoud Bentriou , Paul-Henry Cournède
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