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We analyse the flow of information in multiplex networks by means of the communicability function. First, we generalize this measure from its definition from simple graphs to multiplex networks. Then, we study its relevance for the analysis…

Physics and Society · Physics 2015-06-18 Ernesto Estrada , Jesus Gomez-Gardenes

In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex properties of real-world…

Physics and Society · Physics 2015-09-21 Romualdo Pastor-Satorras , Claudio Castellano , Piet Van Mieghem , Alessandro Vespignani

Humans are social animals, they interact with different communities of friends to conduct different activities. The literature shows that human mobility is constrained by their social relations. In this paper, we investigate the social…

Social and Information Networks · Computer Science 2016-04-04 Jun Pang , Yang Zhang

The structure of the majority of modern deep neural networks is characterized by uni- directional feed-forward connectivity across a very large number of layers. By contrast, the architecture of the cortex of vertebrates contains fewer…

Machine Learning · Computer Science 2017-06-23 Sebastian Herzog , Christian Tetzlaff , Florentin Wörgötter

Network theory has often disregarded many-body relationships, solely focusing on pairwise interactions: neglecting them, however, can lead to misleading representations of complex systems. Hypergraphs represent a suitable framework for…

Social and Information Networks · Computer Science 2025-07-16 Fabio Saracco , Giovanni Petri , Renaud Lambiotte , Tiziano Squartini

Cities create potential for individuals from different backgrounds to interact with one another. It is often the case, however, that urban infrastructure obfuscates this potential, creating dense pockets of affluence and poverty throughout…

Physics and Society · Physics 2023-04-21 Nandini Iyer , Ronaldo Menezes , Hugo Barbosa

Dynamic processes on networks are fundamental to understanding modern-day phenomena such as information diffusion and opinion polarization on the internet or epidemics spreading through society. However, such processes are notoriously…

Physics and Society · Physics 2025-07-15 Noam Abadi , Franco Ruzzenenti

We study an opinion formation model by the means of a co-evolving complex network where the vertices represent the individuals, characterised by their evolving opinions, and the edges represent the interactions among them. The network…

Physics and Society · Physics 2015-06-19 Enrique Burgos , Laura Hernandez , Horacio Ceva , Roberto P. J. Perazzo

Understanding the importance of links in transmitting information in a network can provide ways to hinder or postpone ongoing dynamical phenomena like the spreading of epidemic or the diffusion of information. In this work, we propose a new…

Social and Information Networks · Computer Science 2018-02-16 Qian Zhang , Márton Karsai , Alessandro Vespignani

A financial system contains many elements networked by their relationships. Extensive works show that topological structure of the network stores rich information on evolutionary behaviors of the system such as early warning signals of…

Statistical Finance · Quantitative Finance 2018-05-09 Li Zhou , Lu Qiu , Changgui Gu , Huijie Yang

Information Theory concepts and methodologies conform the background of how communication systems are studied and understood. They are mainly focused on the source-channel-receiver problem and on the asymptotic limits of accuracy and…

Adaptation and Self-Organizing Systems · Physics 2017-05-16 Nicolás Rubido , Celso Grebogi , Murilo S. Baptista

The interaction between boundary layer turbulence and a porous layer is the cornerstone to the interface engineering. In this study, the spatial resolved transfer entropy is used to assess the asymmetry of the causal interaction next to a…

Fluid Dynamics · Physics 2023-12-04 Xu Chu , Wenkang Wang , Bernhard Weigand

In this brief review, we critically examine the recent work done on correlation-based networks in financial systems. The structure of empirical correlation matrices constructed from the financial market data changes as the individual stock…

Computational Finance · Quantitative Finance 2020-04-21 Vishwas Kukreti , Hirdesh K. Pharasi , Priya Gupta , Sunil Kumar

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

Physics and Society · Physics 2009-11-11 Chunguang Li , Philip K. Maini

One of the most prominent properties in real-world networks is the presence of a community structure, i.e. dense and loosely interconnected groups of nodes called communities. In an attempt to better understand this concept, we study the…

Social and Information Networks · Computer Science 2012-08-16 Günce Keziban Orman , Vincent Labatut , Hocine Cherifi

Understanding the interactions among nodes in a complex network is of great importance, since they disclose how these nodes are cooperatively supporting the functioning of the network. Scientists have developed numerous methods to uncover…

Physics and Society · Physics 2017-09-13 Chengwei Wang , Celso Grebogi , Murilo S. Baptista

Spiking activity from populations of neurons display causal interactions and memory effects. Therefore, they are expected to show some degree of irreversibility in time. Motivated by the spike train statistics, in this paper we build a…

Biological Physics · Physics 2015-12-07 Rodrigo Cofre , Cesar Maldonado

Complex network states are characterized by the interplay between system's structure and dynamics. One way to represent such states is by means of network density matrices, whose von Neumann entropy characterizes the number of distinct…

Physics and Society · Physics 2022-12-06 Arsham Ghavasieh , Manlio De Domenico

Humans communicate using systems of interconnected stimuli or concepts -- from language and music to literature and science -- yet it remains unclear how, if at all, the structure of these networks supports the communication of information.…

Physics and Society · Physics 2020-03-27 Christopher W. Lynn , Lia Papadopoulos , Ari E. Kahn , Danielle S. Bassett

Hypergraphs are widely adopted tools to examine systems with higher-order interactions. Despite recent advancements in methods for community detection in these systems, we still lack a theoretical analysis of their detectability limits.…

Social and Information Networks · Computer Science 2024-10-10 Nicolò Ruggeri , Alessandro Lonardi , Caterina De Bacco