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We provide a bird's eye view on developments in analyzing the long time, large crowd behavior of Cucker-Smale alignment dynamics. We consider a class of (fully-)discrete models, paying particular attention to general alignment protocols in…

Dynamical Systems · Mathematics 2023-06-06 Eitan Tadmor

Humans, like almost all animals, are phase-locked to the diurnal cycle. Most of us sleep at night and are active through the day. Because we have evolved to function with this cycle, the circadian rhythm is deeply ingrained and even…

Physics and Society · Physics 2015-08-03 Talayeh Aledavood , Sune Lehmann , Jari Saramäki

Recent studies have investigated various dynamic processes characterizing collective behaviors in real-world systems. However, these dynamics have been studied individually in specific contexts. In this article, we present a holistic…

Applied Physics · Physics 2025-01-28 Ming Xie , Shibo He , Aming Li , Zike Zhang , Youxian Sun , Jiming Chen

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

A recent line of empirical studies has demonstrated that SGD might exhibit a heavy-tailed behavior in practical settings, and the heaviness of the tails might correlate with the overall performance. In this paper, we investigate the…

Machine Learning · Computer Science 2023-10-31 Krunoslav Lehman Pavasovic , Alain Durmus , Umut Simsekli

News consumption behavior is shaped by the coupling between temporal dynamics and content selection. This study proposes a multi-scale temporal-content framework and validates it on two large real-world news datasets, MIND and Adressa.…

Social and Information Networks · Computer Science 2026-05-01 Jipeng Tan , Mengye Yang , Zhanghao Li , Yong Min

Recent research has shown the deep impact of the dynamics of human interactions (or temporal social networks) on the spreading of information, opinion formation, etc. In general, the bursty nature of human interactions lowers the…

Physics and Society · Physics 2015-06-16 Giovanna Miritello , Rubén Lara , Esteban Moro

The study of connectivity and coordination has drawn increasing attention in recent decades due to their central role in driving markets, shaping societal dynamics, and influencing biological systems. Traditionally, observable connections,…

Social and Information Networks · Computer Science 2025-04-04 Shahar Somin , Tom Cohen , Jeremy Kepner , Alex Pentland

Human populations exhibit complex behaviors---characterized by long-range correlations and surges in activity---across a range of social, political, and technological contexts. Yet it remains unclear where these collective behaviors come…

Physics and Society · Physics 2020-05-07 Christopher W. Lynn , Lia Papadopoulos , Daniel D. Lee , Danielle S. Bassett

A record is an entry in a time series that is larger or smaller than all previous entries. If the time series consists of independent, identically distributed random variables with a superimposed linear trend, record events are positively…

Data Analysis, Statistics and Probability · Physics 2015-05-30 J. Franke , G. Wergen , J. Krug

Social activities display bursty behavior characterized by heavy-tailed inter-event time distributions. We examine the bursty behavior of airplanes' arrivals in hub airports. The analysis indicates that the air transportation system…

Physics and Society · Physics 2015-12-16 Hidetaka Ito , Katsuhiro Nishinari

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

Chaotic Dynamics · Physics 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

Response latency -- the time taken to initiate or complete an action or task -- is one of the principal measures used to investigate the mechanisms subserving human and animal cognitive processes. The right tails of response latency…

Neurons and Cognition · Quantitative Biology 2009-08-25 Fermín Moscoso del Prado Martín

We consider a class of multiplicative processes which, added with stochastic reset events, give origin to stationary distributions with power-law tails -- ubiquitous in the statistics of social, economic, and ecological systems. Our main…

Statistical Finance · Quantitative Finance 2021-05-26 Damián H. Zanette , Susanna Manrubia

A main characteristic of social media is that its diverse content, copiously generated by both standard outlets and general users, constantly competes for the scarce attention of large audiences. Out of this flood of information some topics…

Physics and Society · Physics 2011-12-21 Chunyan Wang , Bernardo A. Huberman

Temporal social networks of human interactions are preponderant in understanding the fundamental patterns of human behavior. In these networks, interactions occur locally between individuals (i.e., nodes) who connect with each other at…

Physics and Society · Physics 2022-10-11 Shaunette T. Ferguson , Teruyoshi Kobayashi

Human social behavior is organized in stratified, hierarchical networks, with a support group with about 5 members, expanding proportionally at each layer up to a maximum of approximately 150 frequent interactions per individual. This is…

Physics and Society · Physics 2025-10-20 Airton Deppman

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

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

In most social and information systems the activity of agents generates rapidly evolving time-varying networks. The temporal variation in networks' connectivity patterns and the ongoing dynamic processes are usually coupled in ways that…

Physics and Society · Physics 2014-02-18 Márton Karsai , Nicola Perra , Alessandro Vespignani
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