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As an alternative view to the graph formation models in the statistical physics community, we introduce graph formation models using \textit{network formation} through selfish competition as an approach to modeling graphs with particular…

Optimization and Control · Mathematics 2015-03-13 Shaun Lichter , Christopher Griffin , Terry Friesz

Much of the structure in social networks has been explained by two seemingly independent network evolution mechanisms: triadic closure and homophily. While it is common to consider these mechanisms separately or in the frame of a static…

Physics and Society · Physics 2021-04-28 Aili Asikainen , Gerardo Iñiguez , Kimmo Kaski , Mikko Kivelä

Understanding cascading failures or epidemics in networks is crucial for developing effective defensive mechanisms for many critical systems and infrastructures (e.g. biological, social and cyber networks). Most of the existing works treat…

Computer Science and Game Theory · Computer Science 2016-07-20 Jie Xu

In this chapter, we provide an overview of recent advances in data-driven and theory-informed complex models of social networks and their potential in understanding societal inequalities and marginalization. We focus on inequalities arising…

Physics and Society · Physics 2022-06-16 Fariba Karimi , Marcos Oliveira , Markus Strohmaier

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review…

This article serves as an introduction to the study of networks of social systems. First, we introduce the reader to key mathematical tools to study social networks, including mathematical representations of networks and essential…

Physics and Society · Physics 2023-02-03 Heather Z. Brooks

This chapter aims at reviewing complex networks models and methods that were either developed for or applied to socioeconomic issues, and pertinent to the theme of New Economic Geography. After an introduction to the foundations of the…

Physics and Society · Physics 2015-04-22 Luis M. Varela , Giulia Rotundo , Marcel Ausloos , Jesus Carrete

The process of pattern formation for a multi-species model anchored on a time varying network is studied. A non homogeneous perturbation superposed to an homogeneous stable fixed point can amplify, as follows a novel mechanism of…

Statistical Mechanics · Physics 2017-10-11 Julien Petit , Ben Lauwens , Duccio Fanelli , Timoteo Carletti

Social influence cannot be identified from purely observational data on social networks, because such influence is generically confounded with latent homophily, i.e., with a node's network partners being informative about the node's…

Methodology · Statistics 2025-01-07 Edward McFowland , Cosma Rohilla Shalizi

Online social networks (OSNs) have become increasingly relevant for studying social behavior and information diffusion. Nevertheless, they are limited by restricted access to real OSN data due to privacy, legal, and platform-related…

Social and Information Networks · Computer Science 2025-09-04 Alejandro Buitrago López , Javier Pastor-Galindo , José A. Ruipérez-Valiente

The aim of this textbook is to provide students with basic knowledge of stochastic models that may apply to telecommunications research areas, such as traffic modelling, resource provisioning and traffic management. These study areas are…

Probability · Mathematics 2025-03-18 Moshe Zukerman

Citation and coauthor networks offer an insight into the dynamics of scientific progress. We can also view them as representations of a causal structure, a logical process captured in a graph. From a causal perspective, we can ask questions…

Digital Libraries · Computer Science 2016-12-09 Peter Wittek , Sándor Darányi , Gustaf Nelhans

In this paper we lay the foundations of an $\infty$-categorical theory of Stokes data.

Algebraic Geometry · Mathematics 2025-04-08 Mauro Porta , Jean-Baptiste Teyssier

This thesis is a compendium of research which brings together ideas from the fields of Complex Networks and Computational Neuroscience to address two questions regarding neural systems: 1) How the activity of neurons, via synaptic changes,…

Neurons and Cognition · Quantitative Biology 2013-02-19 Samuel Johnson

These lecture notes have been converted to a book titled Network Information Theory published recently by Cambridge University Press. This book provides a significantly expanded exposition of the material in the lecture notes as well as…

Information Theory · Computer Science 2011-12-15 Abbas El Gamal , Young-Han Kim

In human societies, people's willingness to compete and strive for better social status as well as being envious of those perceived in some way superior lead to social structures that are intrinsically hierarchical. Here we propose an…

Multiagent Systems · Computer Science 2021-04-28 Jan E. Snellman , Gerardo Iñiguez , Tzipe Govezensky , Rafael A. Barrio , Kimmo K. Kaski

In this review, we give an introduction to the structural and functional properties of the biological networks. We focus on three major themes: topology of complex biological networks like the metabolic and protein-protein interaction…

Condensed Matter · Physics 2007-05-23 Indrani Bose

For many networks, the connection pattern (often called the topology) can vary in time, depending on the changing state, or mode, of the modules within the network. For example, "airplane mode" is the name for one communicative mode of a…

Dynamical Systems · Mathematics 2015-12-15 David I. Spivak , Joshua Z. Tan

Adaptive-network models are typically studied using deterministic differential equations which approximately describe their dynamics. In simulations, however, the discrete nature of the network gives rise to intrinsic noise which can…

Statistical Mechanics · Physics 2012-09-04 Tim Rogers , William Clifford-Brown , Catherine Mills , Tobias Galla

Deep neural networks is a branch in machine learning that has seen a meteoric rise in popularity due to its powerful abilities to represent and model high-level abstractions in highly complex data. One area in deep neural networks that is…

Computer Vision and Pattern Recognition · Computer Science 2015-11-11 Mohammad Javad Shafiee , Parthipan Siva , Alexander Wong