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The ability to understand and eventually predict the emergence of information and activation cascades in social networks is core to complex socio-technical systems research. However, the complexity of social interactions makes this a…

Physics and Society · Physics 2015-06-16 Pablo Piedrahíta , Javier Borge-Holthoefer , Yamir Moreno , Alex Arenas

We study social learning in which agents weight neighbors' opinions differently based on their degrees, capturing situations in which agents place more trust in well-connected individuals or, conversely, discount their influence. We derive…

Theoretical Economics · Economics 2026-01-01 Chen Cheng , Xiao Han , Xin Tong , Yusheng Wu , Yiqing Xing

We develop a model of social learning from overabundant information: Short-lived agents sequentially choose from a large set of (flexibly correlated) information sources for prediction of an unknown state. Signal realizations are public. We…

Computer Science and Game Theory · Computer Science 2018-06-20 Annie Liang , Xiaosheng Mu

We study the process of opinion formation in an Ising social network of scientific collaborations. The network is undirected. An Ising spin is associated with each network node being oriented up (red) or down (blue). Certain nodes carry…

Physics and Society · Physics 2026-01-07 Kristina Bukina , Dima L. Shepelyansky

The statistical mechanics method is developed for determination of generating function of like-sign spin clusters' size distribution in Ising model as modification of Ising-Potts model by K. K. Murata (1979). It is applied to the…

Statistical Mechanics · Physics 2019-05-30 P. N. Timonin

We study the average long-time behavior of the binary opinions of a social group with peer-to-peer interactions under the influence of an external bias and a persuadable leader, a strongly-biased agent with a dynamic opinion with the…

Statistical Mechanics · Physics 2024-05-30 Tiago S. A. N. Simões , Antonio Coniglio , Hans J. Herrmann , Lucilla de Arcangelis

This study proposes a novel approach based on the Ising model for analyzing socio-economic emerging patterns between municipalities by investigating the observed configuration of a network of selected territorial units which are classified…

Methodology · Statistics 2025-10-07 Pierpaolo Massoli

We present a general theory of quantum information propagation in chaotic quantum many-body systems. The generic expectation in such systems is that quantum information does not propagate in localized form; instead, it tends to spread out…

Statistical Mechanics · Physics 2020-11-05 Josiah Couch , Stefan Eccles , Phuc Nguyen , Brian Swingle , Shenglong Xu

Threshold models of cascades in the social sciences and economics explain the spread of opinion and innovation due to social influence. In threshold cascade models, fads or innovations spread between agents as determined by their…

Physics and Society · Physics 2021-03-26 Fariba Karimi , Petter Holme

In this paper, we propose an agent-based model of information spread, grounded on psychological insights on the formation and spread of beliefs. In our model, we consider a network of individuals who share two opposing types of information…

Physics and Society · Physics 2025-01-13 Julien Corsin , Lorenzo Zino , Mengbin Ye

We introduce a simple open-ended model that describes the emergence of a shared vocabulary. The ordering transition toward consensus is generated only by an agreement mechanism. This interaction defines a finite and small number of states,…

Physics and Society · Physics 2009-02-13 E. Brigatti , I. Roditi

Mastering the dynamics of social influence requires separating, in a database of information propagation traces, the genuine causal processes from temporal correlation, i.e., homophily and other spurious causes. However, most studies to…

Social and Information Networks · Computer Science 2018-08-31 Francesco Bonchi , Francesco Gullo , Bud Mishra , Daniele Ramazzotti

This chapter provides a general introduction of network modeling in psychometrics. The chapter starts with an introduction to the statistical model formulation of pairwise Markov random fields (PMRF), followed by an introduction of the PMRF…

Methodology · Statistics 2018-06-08 Sacha Epskamp , Gunter K. J. Maris , Lourens J. Waldorp , Denny Borsboom

Exploring the internal mechanism of information spreading is critical for understanding and controlling the process. Traditional spreading models often assume individuals play the same role in the spreading process. In reality, however,…

Social and Information Networks · Computer Science 2025-07-10 Chang Su , Fang Zhou , Linyuan Lü

The model of scientific paradigms spreading throughout the community of agents with memory is analyzed using the master equation. The case of two competing ideas is considered for various networks of interactions, including agents placed at…

Physics and Society · Physics 2015-05-28 Paweł Kondratiuk , Grzegorz Siudem , Janusz A. Hołyst

The aim of this work is to put forward a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. After showing the formal equivalence linking econometric multinomial logit models to equilibrium…

Physics and Society · Physics 2009-07-16 Ignacio Gallo

We study the fame distribution of scientists and other social groups as measured by the number of Google hits garnered by individuals in the population. Past studies have found that the fame distribution decays either in power-law…

Physics and Society · Physics 2008-05-04 James P. Bagrow , Daniel ben-Avraham

In this paper, we tackle the problem of innovation spreading from a modeling point of view. We consider a networked system of individuals, with a competition between two groups. We show its relation to the innovation spreading issues. We…

Physics and Society · Physics 2010-07-07 Krzysztof Suchecki , Andrea Scharnhorst , Janusz A. Holyst

Online social networks (OSNs) are changing the way in which the information spreads throughout the Internet. A deep understanding of the information spreading in OSNs leads to both social and commercial benefits. In this paper, we…

Social and Information Networks · Computer Science 2015-01-26 Sai Zhang , Ke Xu , Xi Chen , Xue Liu

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava
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