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Nowadays, the exponentially growing of the Web renders the problem of correlation among different topics of paramount importance. The proposed model can be used to study the evolution of network depicted by different topics on the web…

Social and Information Networks · Computer Science 2015-01-05 Massimiliano Dal Mas

Networks are commonly used to define underlying interaction structures where infections, information, or other quantities may spread. Although the standard approach has been to aggregate all links into a static structure, some studies…

Physics and Society · Physics 2014-01-23 Luis Enrique Correa Rocha , Vincent D Blondel

Many applications in aerodynamics, particularly in closed-loop control, depend on sensors to estimate the evolving state of the flow. This estimation task is inherently accompanied by uncertainty due to the noisy measurements of sensors or…

Fluid Dynamics · Physics 2026-01-07 Jeff D. Eldredge , Hanieh Mousavi

We review selected results related to robustness of networked systems in finite and asymptotically large size regimes, under static and dynamical settings. In the static setting, within the framework of flow over finite networks, we discuss…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Ketan Savla , Jeff S. Shamma , Munther A. Dahleh

Networks built to model real world phenomena are characeterised by some properties that have attracted the attention of the scientific community: (i) they are organised according to community structure and (ii) their structure evolves with…

Social and Information Networks · Computer Science 2019-09-04 Giulio Rossetti , Rémy Cazabet

This paper aims to measure the efficiency of urban street networks (a kind of complex networks) from the perspective of the multidimensional chain of connectivity (or flow). More specifically, we define two quantities: flow dimension and…

Data Analysis, Statistics and Probability · Physics 2008-05-13 Bin Jiang

Fluid flow networks are ubiquitous and can be found in a broad range of contexts, from human-made systems such as water supply networks to living systems like animal and plant vasculature. In many cases, the elements forming these networks…

The large-scale organization of the world economies is exhibiting increasingly levels of local heterogeneity and global interdependency. Understanding the relation between local and global features calls for analytical tools able to uncover…

General Finance · Quantitative Finance 2008-12-10 M. Angeles Serrano , Marian Boguna , Alessandro Vespignani

Understanding and analyzing cascading failures in power grids have been the focus of many researchers for years. However, the complex interactions among the large number of components in these systems and their contributions to cascading…

Physics and Society · Physics 2020-06-15 Upama Nakarmi , Mahshid Rahnamay Naeini , Md Jakir Hossain , Md Abul Hasnat

Complex networks have played an important role in describing real complex systems since the end of the last century. Recently, research on real-world data sets reports intermittent interaction among social individuals. In this paper, we pay…

Social and Information Networks · Computer Science 2025-11-25 Ziyan Zeng , Minyu Feng , Jürgen Kurths

Social learning algorithms provide models for the formation of opinions over social networks resulting from local reasoning and peer-to-peer exchanges. Interactions occur over an underlying graph topology, which describes the flow of…

Signal Processing · Electrical Eng. & Systems 2023-03-15 Valentina Shumovskaia , Konstantinos Ntemos , Stefan Vlaski , Ali H. Sayed

We study the vortex dynamics in an evolutive flow. We carry out the statistical analysis of the resulting time series by means of the joint use of a compression and an entropy diffusion method. This approach to complexity makes it possible…

Statistical Mechanics · Physics 2009-11-10 Jacopo Bellazzini , Giulia Menconi , Guido Buresti , Paolo Grigolini , Massimiliano Ignaccolo

We derive a modular fluid-flow network congestion control model based on a law of fundamental nature in networks: the conservation of information. Network elements such as queues, users, and transmission channels and network performance…

Networking and Internet Architecture · Computer Science 2016-11-18 C. Briat , E. A. Yavuz , H. Hjalmarsson , K. H. Johansson , U. T. Jönsson , G. Karlsson , H. Sandberg

A typical complex system should be described by a supernetwork or a network of networks, in which the networks are coupled to some other networks. As the first step to understanding the complex systems on such more systematic level,…

Physics and Society · Physics 2015-05-20 Xiu-Lian Xu , Yan-Qin Qu , Shan Guan , Yu-Mei Jiang , Da-Ren He

Many complex networks in the real world have community structures -- groups of well-connected nodes with important functional roles. It has been well recognized that the identification of communities bears numerous practical applications.…

Social and Information Networks · Computer Science 2019-07-10 Chien-Chun Ni , Yu-Yao Lin , Feng Luo , Jie Gao

We present our recent work on stochastic particle systems on complex networks. As a noninteracting system we first consider the diffusive motion of a random walker on heterogeneous complex networks. We find that the random walker is…

Statistical Mechanics · Physics 2007-05-23 Jae Dong Noh

The ability to reroute and control flow is vital to the function of venation networks across a wide range of organisms. By modifying individual edges in these networks, either by adjusting edge conductances or creating and destroying edges,…

Soft Condensed Matter · Physics 2021-01-14 Jason W. Rocks , Andrea J. Liu , Eleni Katifori

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

The number of units of a network dynamical system, its size, arguably constitutes its most fundamental property. Many units of a network, however, are typically experimentally inaccessible such that the network size is often unknown. Here…

Adaptation and Self-Organizing Systems · Physics 2021-04-02 Hauke Haehne , Jose Casadiego , Joachim Peinke , Marc Timme

Many systems exhibit complex temporal dynamics due to the presence of different processes taking place simultaneously. An important task in such systems is to extract a simplified view of their time-dependent network of interactions.…

Physics and Society · Physics 2022-05-23 Alexandre Bovet , Jean-Charles Delvenne , Renaud Lambiotte