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We study a multi-type SIR epidemic process among a heterogeneous population that interacts through a network. When we base social contact on a random graph with given vertex degrees, we give limit theorems on the fraction of infected…

Physics and Society · Physics 2021-11-02 Hamed Amini , Andreea Minca

Many complex systems are characterized by broad distributions capturing, for example, the size of firms, the population of cities or the degree distribution of complex networks. Typically this feature is explained by means of a preferential…

Physics and Society · Physics 2012-02-29 Przemyslaw A. Grabowicz , Victor M. Eguiluz

The study of probabilistic models for the analysis of complex networks represents a flourishing research field. Among the former, Exponential Random Graphs (ERGs) have gained increasing attention over the years. So far, only linear ERGs…

Physics and Society · Physics 2026-02-10 Mattia Marzi , Francesca Giuffrida , Diego Garlaschelli , Tiziano Squartini

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman , M. Girvan

Machine learning algorithms are optimized to model statistical properties of the training data. If the input data reflects stereotypes and biases of the broader society, then the output of the learning algorithm also captures these…

Computation and Language · Computer Science 2016-06-21 Tolga Bolukbasi , Kai-Wei Chang , James Zou , Venkatesh Saligrama , Adam Kalai

Ideologically homogeneous online environments - often described as "echo chambers" or "filter bubbles" - are widely seen as drivers of polarization, radicalization, and misinformation. A central debate asks whether such homophily stems…

Social and Information Networks · Computer Science 2025-08-15 Petter Törnberg

Limited work has examined the strategic behaviors of relational networked learning agents under social dilemmas, and has overlooked the intricate social dynamics of complex systems. We address the challenge with Socio-Relational Intrinsic…

Multiagent Systems · Computer Science 2026-04-07 Xinqi Gao , Mario Ventresca

I discuss economic and social sources of inequality and elaborate on the role of social networks in inequality, economic immobility, and economic inefficiencies. The lens of social networks clarifies how the entanglement of people's…

General Economics · Economics 2025-06-17 Matthew O. Jackson

We develop a new class of random graph models for the statistical estimation of network formation -- subgraph generated models (SUGMs). Various subgraphs -- e.g., links, triangles, cliques, stars -- are generated and their union results in…

Physics and Society · Physics 2024-11-27 Arun G. Chandrasekhar , Matthew O. Jackson

The modeling of the spreading of communicable diseases has experienced significant advances in the last two decades or so. This has been possible due to the proliferation of data and the development of new methods to gather, mine and…

Physics and Society · Physics 2020-09-09 Alberto Aleta , Guilherme Ferraz de Arruda , Yamir Moreno

Many real-world complex networks contain a significant amount of structural redundancy, in which multiple vertices play identical topological roles. Such redundancy arises naturally from the simple growth processes which form and shape many…

Physics and Society · Physics 2020-08-05 Ben D. MacArthur , Rubén J. Sánchez-García

In recent years, graph-based machine learning techniques, such as reinforcement learning and graph neural networks, have garnered significant attention. While some recent studies have started to explore the relationship between the graph…

Machine Learning · Computer Science 2025-07-15 Yash Arya , Sang Hoon Lee

Models of growing networks are a central topic in network science. In these models, vertices are usually labeled by their arrival time, distinguishing even those node pairs whose structural roles are identical. In contrast, unlabeled…

Physics and Society · Physics 2025-09-23 Harrison Hartle , Brennan Klein , Dmitri Krioukov , P. L. Krapivsky

Understanding how social behavior influences epidemic dynamics has become a central focus in mathematical epidemiology. In particular, \textit{behavioral homophily} (the tendency of individuals to associate with similar others) and…

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

Statistical Mechanics · Physics 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

In studies of cultural differentiation, the joint mechanisms of homophily and influence have been able to explain how distinct cultural groups can form. While these mechanisms normally lead to cultural convergence, increased levels of…

Physics and Society · Physics 2008-01-23 Damon Centola , Juan Carlos Gonzalez-Avella , Victor M. Eguiluz , Maxi San Miguel

An increasing number of scholars are using longitudinal social network data to try to obtain estimates of peer or social influence effects. These data may provide additional statistical leverage, but they can introduce new inferential…

Applications · Statistics 2011-06-20 Hans Noel , Brendan Nyhan

Many real-world networks of interest are embedded in physical space. We present a new random graph model aiming to reflect the interplay between the geometries of the graph and of the underlying space. The model favors configurations with…

Probability · Mathematics 2017-06-14 Jean-Christophe Mourrat , Daniel Valesin

Continuous mixtures of distributions are widely employed in the statistical literature as models for phenomena with highly divergent outcomes; in particular, many familiar heavy-tailed distributions arise naturally as mixtures of…

Methodology · Statistics 2017-10-10 Carter T. Butts

Addressing issues of social diversity, we introduce a model of housing transactions between agents who are heterogeneous in their willingness to pay. A key assumption is that agents' preferences for a location depend on both an intrinsic…

Physics and Society · Physics 2012-10-09 Laetitia Gauvin , Annick Vignes , Jean-Pierre Nadal