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Brownian motion is a continuum scaling limit for a wide class of random processes, and there has been great success in developing a theory for its properties (such as distribution functions or regularity) and expanding the breadth of its…

Probability · Mathematics 2011-11-03 Ivan Corwin

Interevent times have been studied across various disciplines in search for correlations. In this paper we show analytical and numerical evidence that at the population level a power-law can be obtained by assuming poissonian agents with…

Statistical Mechanics · Physics 2009-11-11 Cesar A. Hidalgo R

Modern society depends on the flow of information over online social networks, and users of popular platforms generate significant behavioral data about themselves and their social ties. However, it remains unclear what fundamental limits…

Physics and Society · Physics 2019-02-12 James P. Bagrow , Xipei Liu , Lewis Mitchell

Influence Maximization (IM) aims at finding the most influential users in a social network, i. e., users who maximize the spread of an opinion within a certain propagation model. Previous work investigated the correlation between influence…

Social and Information Networks · Computer Science 2020-04-02 Mehmet Simsek , Henning Meyerhenke

A social network (SN) is a social structure consisting of a group representing the interaction between them. SNs have recently been widely used and, subsequently, have become suitable and popular platforms for product promotion and…

Social and Information Networks · Computer Science 2022-09-13 Saeid Ghafouri , Seyed Hossein Khasteh , Seyed Omid Azarkasb

We consider a network of interacting agents and we model the process of choice on the adoption of a given innovative product by means of statistical-mechanics tools. The modelization allows us to focus on the effects of direct interactions…

Physics and Society · Physics 2015-02-24 Paolo Sgrignoli , Elena Agliari , Raffaella Burioni , Augusto Schianchi

Classical flocking models demonstrate how local interactions generate emergent order, but real-world multi-agent deployments are bound by severe constraints: limited actuator availability, heterogeneous communication latencies, and…

Optimization and Control · Mathematics 2026-05-04 Jiguang Yu

Recently, information transmission models motivated by the classical epidemic propagation, have been applied to a wide-range of social systems, generally assume that information mainly transmits among individuals via peer-to-peer…

Physics and Society · Physics 2015-12-09 Chuang Liu , Xiu-Xiu Zhan , Zi-Ke Zhang , Gui-Quan Sun , Pak Ming Hui

Probability density functions and the probability of Sz occurrence conditional upon the time elapsed from the previous Sz were estimated using the energy and intervals of SZ in prolonged recordings from subjects with localization- related…

Neurons and Cognition · Quantitative Biology 2008-02-04 Ivan Osorio , Mark G. Frei , Didier Sornette , John Milton

We present generalized dynamical models describing the sharing of information, and the corresponding herd behavior, in a population based on the recent model proposed by Egu\'{\i}luz and Zimmermann (EZ) [Phys. Rev. Lett. 85, 5659 (2000)].…

Statistical Mechanics · Physics 2009-11-07 Dafang Zheng , P. M. Hui , K. F. Yip , N. F. Johnson

A wealth of evidence shows that real world networks are endowed with the small-world property i.e., that the maximal distance between any two of their nodes scales logarithmically rather than linearly with their size. In addition, most…

Information spreading has been studied for decades, but its underlying mechanism is still under debate, especially for those ones spreading extremely fast through Internet. By focusing on the information spreading data of six typical events…

Physics and Society · Physics 2018-05-08 Jiao Wu , Muhua Zheng , Zi-Ke Zhang , Wei Wang , Changgui Gu , Zonghua Liu

We study how groups reach consensus by varying communication network structure and individual incentives. In 342 networks of seven individuals, single opinionated "leaders" can drive decision outcomes, but do not accelerate consensus…

Physics and Society · Physics 2022-02-09 Felix Gaisbauer , Ariana Strandburg-Peshkin , Helge Giese

Consider $n=\ell+m$ individuals, where $\ell\le m$, with $\ell$ individuals holding an opinion $A$ and $m$ holding an opinion $B$. Suppose that the individuals communicate via an undirected network $G$, and in each time step, each…

Combinatorics · Mathematics 2021-05-28 Ashwin Sah , Mehtaab Sawhney

In addition to the well known common properties such as small world and community structures, recent empirical investigations suggest a universal scaling law for the spatial structure of social networks. It is found that the probability…

Physics and Society · Physics 2010-02-10 Yanqing Hu , Yougui Wang , Daqing Li , Shlomo Havlin , Zengru Di

Large parts of professional human communication proceed in a request-reply fashion, whereby requests contain specifics of the information desired while replies can deliver the required information. However, time limitations often force…

Social and Information Networks · Computer Science 2013-12-25 Kristian Moss Bendtsen , Florian Uekermann , Jan O. Haerter

Imitation learning (IL) provides a data-driven framework for approximating policies for large-scale combinatorial optimisation problems formulated as sequential decision problems (SDPs), where exact solution methods are computationally…

Machine Learning · Computer Science 2026-04-13 Prakash Gawas , Antoine Legrain , Louis-Martin Rousseau

The spontaneous organization of collective activities in animal groups and societies has attracted a considerable amount of attention over the last decade. This kind of coordination often permits group-living species to achieve collective…

Physics and Society · Physics 2010-05-20 Mehdi Moussaid , Simon Garnier , Guy Theraulaz , Dirk Helbing

In a recent paper a set of differential equations was proposed to describe a social process, where pairs of partners emerge in a community. The choice was performed on a basis of attractive resources and of random initial preferences. An…

Physics and Society · Physics 2007-05-23 Mateusz Wasko , Krzysztof Kulakowski

From the formation of ice in small clusters of water molecules to the mass raids of army ant colonies, the emergent behavior of collectives depends critically on their size. At the same time, common wisdom holds that such behaviors are…

Populations and Evolution · Quantitative Biology 2025-10-08 Jacob Calvert , Andréa W. Richa , Dana Randall
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