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The problem of the insensitivity of the macroscopic behavior of any thermodynamical system to partitioning generates a bias between the reproducibility of its macroscopic behavior viewed as the simplest form of causality and its long-term…

General Physics · Physics 2007-05-23 Maria K. Koleva

In this work we review some recent development in the mathematical modelling of quantitative sociology by means of statistical mechanics. After a short pedagogical introduction to static and dynamic properties of many body systems, we…

Physics and Society · Physics 2009-10-15 Elena Agliari , Adriano Barra , Raffaella Burioni , Pierluigi Contucci

We develop a stochastic parametrization, based on a `simple' deterministic model for the dynamics of steady longshore currents, that produces ensembles that are statistically consistent with field observations of these currents. Unlike…

Data Analysis, Statistics and Probability · Physics 2016-12-06 Juan M. Restrepo , Shankar C. Venkataramani

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

Traffic jams on roadways, echo chambers on social media, crowds of moving pedestrians, and opinion dynamics during elections are all complex social systems. These applications may seem disparate, but some of the questions that they motivate…

Physics and Society · Physics 2022-10-18 Alexandria Volkening

Superstatistics is a widely employed tool of non-equilibrium statistical physics which plays an important role in analysis of hierarchical complex dynamical systems. Yet, its "canonical" formulation in terms of a single nuisance parameter…

Statistical Finance · Quantitative Finance 2017-11-10 Petr Jizba , Jan Korbel , Hynek Lavička , Martin Prokš , Václav Svoboda , Christian Beck

We consider a model of socially interacting individuals that make a binary choice in a context of positive additive endogenous externalities. It encompasses as particular cases several models from the sociology and economics literature. We…

Physics and Society · Physics 2007-05-23 Mirta B. Gordon , Jean-Pierre Nadal , Denis Phan , Viktoriya Semeshenko

We study the contrarian voter model for opinion formation in a society under the influence of an external oscillating propaganda and stochastic noise. Each agent of the population can hold one of two possible opinions on a given issue…

Physics and Society · Physics 2022-08-25 M. Cecilia Gimenez , Luis Reinaudi , Federico Vazquez

People sometimes change their opinions when they discuss things with other people. Researchers can use mathematics to study opinion changes in simplifications of real-life situations. These simplified settings, which are examples of…

Physics and Society · Physics 2024-08-07 Grace J. Li , Jiajie Luo , Kaiyan Peng , Mason A. Porter

We discuss the process of opinion formation in a completely homogeneous, democratic population using a class of probabilistic cellular automata models with two absorbing states. Each individual can have one of two opinions that can change…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Franco Bagnoli , Fabio Franci , Raúl Rechtman

We propose a modified Vicsek-like model to study influence dynamics and opinion formation in social networks. We work on the premise that opinions of members of a group may be considered to be analogous to the direction of motion of a…

Social and Information Networks · Computer Science 2018-09-03 Narayani Vedam , Debasish Ghose

Prediction markets are widely treated as forecasting devices that reveal collective expectations about uncertain futures. This article argues that under specifiable conditions they also function as coordination mechanisms: public…

General Economics · Economics 2026-04-29 Maksym Nechepurenko

In linear models of consensus dynamics, the state of the various agents converges to a value which is a convex combination of the agents' initial states. We call it democratic if in the large scale limit (number of agents going to infinity)…

Systems and Control · Computer Science 2015-02-17 Fabio Fagnani , Jean-Charles Delvenne

We introduce a new Ising-type framework for opinion dynamics that explicitly separates private preferences from publicly expressed binary opinions and naturally incorporates neutral agents. Each individual is endowed with an immutable…

Probability · Mathematics 2026-01-12 Simone Baldassarri , Vanessa Jacquier , Alessandro Zocca

Given an unknown dynamic system such as a coupled harmonic oscillator with $n$ springs and point masses. We are often interested in gaining insights into its physical parameters, i.e. stiffnesses and masses, by observing trajectories of…

Machine Learning · Computer Science 2021-03-22 Gregory Barber , Mulugeta A. Haile , Tzikang Chen

In many social networks it is a useful assumption that, regarding a given quality, an underlying hierarchy of the connected individuals exists, and that the outcome of interactions is to some extent determined by the relative positions in…

Physics and Society · Physics 2021-07-28 Gábor Timár

Social pressure is a key factor affecting the evolution of opinions on networks in many types of settings, pushing people to conform to their neighbors' opinions. To study this, the interacting Polya urn model was introduced by Jadbabaie et…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Jennifer Tang , Aviv Adler , Amir Ajorlou , Ali Jadbabaie

An attractor of a dynamical system may represent the system's 'desirable' state. Perturbations to the system may push the system out of the basin of attraction of the desirable attractor and into undesirable states. Hence, it is important…

Chaotic Dynamics · Physics 2024-08-15 Calvin Alvares , Soumitro Banerjee

Predictive dynamical models for marine ecosystems are used for a variety of needs. Due to sparse measurements and limited understanding of the myriad of ocean processes, there is however significant uncertainty. There is model uncertainty…

Computational Engineering, Finance, and Science · Computer Science 2023-06-06 Abhinav Gupta , Pierre F. J. Lermusiaux

We study how the opinions of a group of individuals determine their spatial distribution and connectivity, through an agent-based model. The interaction between agents is described by a Potts-like Hamiltonian in which agents are allowed to…

Physics and Society · Physics 2014-03-28 Sergio Davis , Yasmín Navarrete , Gonzalo Gutiérrez
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