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Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

Condensed Matter · Physics 2009-11-07 P Ormerod , C Mounfield

This study investigates the emergence of power-law and other concentrated distributions through a feedback loop model in crowd interactions. Agents act by their response functions to observations and external forces, while observations…

General Economics · Economics 2024-12-18 Jake J. Xia

We analyze Axelrod's model of social interactions on coevolving complex networks. We introduce four extensions with different mechanisms of edge rewiring. The models are intended to catch two kinds of interactions - preferential attachment,…

Physics and Society · Physics 2018-05-03 Tomasz Raducha , Tomasz Gubiec

The abundance of data affords researchers to pursue more powerful computational tools to learn the dynamics of complex system, such as neural networks, engineered systems and social networks. Traditional machine learning approaches capture…

Machine Learning · Computer Science 2024-05-16 Yan Shen , Fan Yang , Mingchen Gao , Wen Dong

Time evolution of number of species (genera, families, and others), population of them, and size distribution of present ones and life times are studied in terms of a new model, where population of each genetic taxon increases by a (random)…

Populations and Evolution · Quantitative Biology 2007-05-23 Caglar Tuncay

To better understand the inner workings of information spreading, network researchers often use simple models to capture the spreading dynamics. But most models only highlight the effect of local interactions on the global spreading of a…

Physics and Society · Physics 2014-01-29 Atieh Mirshahvalad , Alcides Viamontes , Ludvig Lizana , Martin Rosvall

The goal of developing a firmer theoretical understanding of inhomogenous temporal processes -- in particular, the waiting times in some collective dynamical system -- is attracting significant interest among physicists. Quantifying the…

Statistical Finance · Quantitative Finance 2015-06-12 Guannan Zhao , Mark McDonald , Dan Fenn , Stacy Williams , Neil F. Johnson

Although higher-order interactions are known to affect the typical state of dynamical processes giving rise to new collective behavior, how they drive the emergence of rare events and fluctuations is still an open problem. We investigate…

Disordered Systems and Neural Networks · Physics 2024-09-09 Leonardo Di Gaetano , Giorgio Carugno , Federico Battiston , Francesco Coghi

Large quantities of data flow on the internet. When a user decides to help the spread of a piece of information (by retweeting, liking, posting content), most research works assumes she does so according to information's content,…

Social and Information Networks · Computer Science 2022-04-22 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Human social interaction is often intermittent. Two acquainted persons can have extended periods without social interaction punctuated by periods of repeated interaction. In this case, the repeated interaction can be characterized by a seed…

Social and Information Networks · Computer Science 2018-03-06 Anders Mollgaard , Joachim Mathiesen

We consider a one-dimensional stochastic reaction-diffusion generalizing the totally asymmetric simple exclusion process, and aiming at describing single lane roads with vehicles that can change speed. To each particle is associated a jump…

Statistical Mechanics · Physics 2011-09-09 Cyril Furtlehner , Jean-Marc Lasgouttes

In opinion dynamics, time delays in agent-to-agent interactions are ubiquitous, which can substantially disrupt the dynamical processes rooted in agents' opinion exchange, decision-making, and feedback mechanisms. However, a thorough…

Optimization and Control · Mathematics 2025-01-22 Lingling Yao , Aming Li

Burstiness, the tendency of interaction events to be heterogeneously distributed in time, is critical to information diffusion in physical and social systems. However, an analytical framework capturing the effect of burstiness on generic…

Physics and Society · Physics 2020-07-14 Samuel Unicomb , Gerardo Iñiguez , James P. Gleeson , Márton Karsai

Dynamical processes on time-varying complex networks are key to understanding and modeling a broad variety of processes in socio-technical systems. Here we focus on empirical temporal networks of human proximity and we aim at understanding…

Physics and Society · Physics 2013-11-01 Laetitia Gauvin , André Panisson , Ciro Cattuto , Alain Barrat

In the present work, via computational simulation we study the statistical distribution of people versus number of steps acquired by them in a learning process, considering Darwin classical theory of evolution, i.e. competition, learning…

Statistical Mechanics · Physics 2007-05-23 Hari Mohan Gupta , José Roberto Campanha

Extreme events can come either from point processes, when the size or energy of the events is above a certain threshold, or from time series, when the intensity of a signal surpasses a threshold value. We are particularly concerned by the…

Statistical Mechanics · Physics 2017-07-26 Alvaro Corral

We study three non-equivalent queueing models in continuous time that each generalise the classical M/M/1 queue in a different way. Inter-event times in all models are Mittag-Leffler distributed, which is a heavy tail distribution with no…

Probability · Mathematics 2022-11-24 Jacob Butt , Nicos Georgiou , Enrico Scalas

Many classical models of collective behavior assume that emergent dynamics result from external and observable interactions among individuals. However, how collective dynamics in human populations depend on the internal psychological…

Physics and Society · Physics 2024-09-27 Alice C Schwarze , Mari Kawakatsu , Sarah Iams , Nina H Fefferman , Tahra L Eissa

The recent availability of large databases allows to study macroscopic properties of many complex systems. However, inferring a model from a fit of empirical data without any knowledge of the dynamics might lead to erroneous interpretations…

Physics and Society · Physics 2016-08-31 Riccardo Gallotti , Armando Bazzani , Sandro Rambaldi , Marc Barthelemy

Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk…

Populations and Evolution · Quantitative Biology 2025-08-22 Michael J. Plank , Matthew J. Simpson , Ruth E. Baker
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