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Understanding how sustainable behaviors spread within heterogeneous societies requires the integration of behavioral data, social influence mechanisms, and structured approaches to control. In this paper, we propose a data-driven…

Social and Information Networks · Computer Science 2025-11-17 Martina Alutto , Sofia Bellotti , Fabrizio Dabbene , Chiara Ravazzi

A model has been proposed to simulate the evolution of interpersonal relationships in a social group. The small social community is simply assumed as an undirected and weighted graph, where individuals are denoted by vertices, and the…

Other Condensed Matter · Physics 2007-05-23 Bo Hu , Xin-Yu Jiang , Bing-Hong Wang , Jun-Feng Ding , Tao-Zhou , Yan-Bo Xie

Balance theory explains the forces behind the structure of social systems, which are commonly modeled as static undirected signed networks. We expand this modeling approach to incorporate directionality of edges, and consider three levels…

Social and Information Networks · Computer Science 2020-07-21 Samin Aref , Ly Dinh , Rezvaneh Rezapour , Jana Diesner

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

Physics and Society · Physics 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

Statistical Mechanics · Physics 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

We present a rigorous mathematical framework for analyzing dynamics of a broad class of Boolean network models. We use this framework to provide the first formal proof of many of the standard critical transition results in Boolean network…

Disordered Systems and Neural Networks · Physics 2016-08-30 C. Seshadhri , Yevgeniy Vorobeychik , Jackson R. Mayo , Robert C. Armstrong , Joseph R. Ruthruff

Re-using trained neural network models is a common strategy to reduce training cost and transfer knowledge. Weight space learning - using the weights of trained models as data modality - is a promising new field to re-use populations of…

Machine Learning · Computer Science 2025-04-15 Damian Falk , Konstantin Schürholt , Damian Borth

The advent and proliferation of social media have led to the development of mathematical models describing the evolution of beliefs/opinions in an ecosystem composed of socially interacting users. The goal is to gain insights into…

Social and Information Networks · Computer Science 2017-10-04 Alessandro Nordio , Alberto Tarable , Carla Fabiana Chiasserini , Emilio Leonardi

Social relations have been shown to impact individual and group success in farm animal populations. Fundamental to addressing these relationships is an understanding of the social network structure resulting from the co-habitation and…

Physics and Society · Physics 2025-06-10 Emil Grosfilley , Yujie Mu , Dap De Bruijckere

Models of strategy evolution on static networks help us understand how population structure can promote the spread of traits like cooperation. One key mechanism is the formation of altruistic spatial clusters, where neighbors of a…

Physics and Society · Physics 2023-09-07 Qi Su , Alex McAvoy , Joshua B. Plotkin

Large-scale systems with inherent heterogeneity often exhibit complex dynamics that are crucial for their functional properties. However, understanding how such heterogeneity shapes these dynamics remains a significant challenge,…

Chaotic Dynamics · Physics 2024-12-16 Futa Tomita , Jun-nosuke Teramae

We investigate signed networks with community structure with respect to their spectrum and their evolution under a dynamical model of structural balance, a prominent theory of signed social networks. The spectrum of the adjacency matrix…

Social and Information Networks · Computer Science 2020-07-15 Megan Morrison , Michael Gabbay

Modeling human dynamics responsible for the formation and evolution of the so-called social networks - structures comprised of individuals or organizations and indicating connectivities existing in a community - is a topic recently…

Computers and Society · Computer Science 2007-05-23 Victor V. Kryssanov , Frank J. Rinaldo , Evgeny L. Kuleshov , Hitoshi Ogawa

Here we investigate the dynamics of indirect reciprocity on networks, a type of social dynamics in which the attitude of individuals, either cooperative or antagonistic, toward other individuals changes over time by their actions and mutual…

Physics and Society · Physics 2021-09-01 Koji Oishi , Shuhei Miyano , Kimmo Kaski , Takashi Shimada

We model recruitment in adaptive social networks in the presence of birth and death processes. Recruitment is characterized by nodes changing their status to that of the recruiting class as a result of contact with recruiting nodes. Only a…

Populations and Evolution · Quantitative Biology 2012-07-20 Maxim S. Shkarayev , Ira B. Schwartz , Leah B. Shaw

Mathematical models of motility are often based on random-walk descriptions of discrete individuals that can move according to certain rules. It is usually the case that large masses concentrated in small regions of space have a great…

Physics and Society · Physics 2022-11-23 Carles Falcó

Here, we review the research we have done on social contagion. We describe the methods we have employed (and the assumptions they have entailed) in order to examine several datasets with complementary strengths and weaknesses, including the…

Social and Information Networks · Computer Science 2012-03-14 Nicholas A. Christakis , James H. Fowler

In a class of heterogeneous random networks, where each node dynamics is a random dynamical system, interacting with neighbor nodes via a random coupling function, we characterize the hub behavior as the mean-field, subject to statistically…

Dynamical Systems · Mathematics 2025-06-25 Zheng Bian , Jeroen S. W. Lamb , Tiago Pereira

Disentangling the mechanisms underlying the social network evolution is one of social science's unsolved puzzles. Preferential attachment is a powerful mechanism explaining social network dynamics, yet not able to explain all scaling-laws…

Social and Information Networks · Computer Science 2014-09-19 Yang Yang , Yuxiao Dong , Nitesh V. Chawla

By generating transient encounters between individuals beyond their immediate social environment, transport can have a profound impact on the spreading of an epidemic. In this work, we consider epidemic dynamics in the presence of the…

Adaptation and Self-Organizing Systems · Physics 2022-11-03 Christian Kuehn , Jan Mölter