Dynamical Processes on Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 9781107626256
Total Pages : 361 pages
Book Rating : 4.6/5 (262 download)

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Book Synopsis Dynamical Processes on Complex Networks by : Alain Barrat

Download or read book Dynamical Processes on Complex Networks written by Alain Barrat and published by Cambridge University Press. This book was released on 2012-10-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. For example, a vast number of everyday systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This new and recent account presents a comprehensive explanation of these effects.

Dynamical Processes on Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 1107377420
Total Pages : 409 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Dynamical Processes on Complex Networks by : Alain Barrat

Download or read book Dynamical Processes on Complex Networks written by Alain Barrat and published by Cambridge University Press. This book was released on 2008-10-23 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: The availability of large data sets has allowed researchers to uncover complex properties such as large-scale fluctuations and heterogeneities in many networks, leading to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. This book presents a comprehensive account of these effects. A vast number of systems, from the brain to ecosystems, power grids and the internet, can be represented as large complex networks. This book will interest graduate students and researchers in many disciplines, from physics and statistical mechanics to mathematical biology and information science. Its modular approach allows readers to readily access the sections of most interest to them, and complicated maths is avoided so the text can be easily followed by non-experts in the subject.

Temporal Properties of Dynamic Processes on Complex Networks

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Publisher :
ISBN 13 :
Total Pages : 113 pages
Book Rating : 4.:/5 (816 download)

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Book Synopsis Temporal Properties of Dynamic Processes on Complex Networks by : Malgorzata A. Turalska

Download or read book Temporal Properties of Dynamic Processes on Complex Networks written by Malgorzata A. Turalska and published by . This book was released on 2011 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamical Processes in Complex Networks

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Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (84 download)

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Book Synopsis Dynamical Processes in Complex Networks by : Michele Catanzaro

Download or read book Dynamical Processes in Complex Networks written by Michele Catanzaro and published by . This book was released on 2008 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modularity and Dynamics on Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 1108808654
Total Pages : 102 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Modularity and Dynamics on Complex Networks by : Renaud Lambiotte

Download or read book Modularity and Dynamics on Complex Networks written by Renaud Lambiotte and published by Cambridge University Press. This book was released on 2022-02-03 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks are typically not homogeneous, as they tend to display an array of structures at different scales. A feature that has attracted a lot of research is their modular organisation, i.e., networks may often be considered as being composed of certain building blocks, or modules. In this Element, the authors discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network. They discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure. They also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks.

Dynamics On and Of Complex Networks III

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Publisher : Springer
ISBN 13 : 3030146839
Total Pages : 244 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Dynamics On and Of Complex Networks III by : Fakhteh Ghanbarnejad

Download or read book Dynamics On and Of Complex Networks III written by Fakhteh Ghanbarnejad and published by Springer. This book was released on 2019-05-13 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gap between advances in the communities of computer science and physics--namely machine learning and statistical physics. It contains diverse but relevant topics in statistical physics, complex systems, network theory, and machine learning. Examples of such topics are: predicting missing links, higher-order generative modeling of networks, inferring network structure by tracking the evolution and dynamics of digital traces, recommender systems, and diffusion processes. The book contains extended versions of high-quality submissions received at the workshop, Dynamics On and Of Complex Networks (doocn.org), together with new invited contributions. The chapters will benefit a diverse community of researchers. The book is suitable for graduate students, postdoctoral researchers and professors of various disciplines including sociology, physics, mathematics, and computer science.

Structure and Dynamic Processes in Complex Networks

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (857 download)

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Book Synopsis Structure and Dynamic Processes in Complex Networks by : Chunyan Wang

Download or read book Structure and Dynamic Processes in Complex Networks written by Chunyan Wang and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergence of cyberspace gave rise to detailed traces of human behavior on-line, which results in an unprecedented opportunity to better understand the dynamics of social activities. Despite its diverse nature, the on-line behavior displays a number of strong regularities which can be understood by drawing on methods from statistical physics. This thesis first discusses statistical properties of a special kind of information network formed on-line, conversation threads, and more importantly, develops a dy- namical model which explains discrepancies in existing studies. It is also demon- strated that there are predictabilities of human interaction patterns by estimating mutual information of activity sequences. Additionally, properties of human behav- ior as a group, such as group purchasing and gathering, are scrutinized and modeled. And finally, diversity patterns of competing opinions/viruses diffused on network are modeled by investigating the formation of Turing pattern on large scale free networks.

Dynamics On and Of Complex Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 0817647503
Total Pages : 310 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Dynamics On and Of Complex Networks by : Niloy Ganguly

Download or read book Dynamics On and Of Complex Networks written by Niloy Ganguly and published by Springer Science & Business Media. This book was released on 2009-04-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book systematically explores the statistical dynamics on and of complex networks having relevance across a large number of scientific disciplines. The theories related to complex networks are increasingly being used by researchers for their usefulness in harnessing the most difficult problems of a particular discipline. The book is a collection of surveys and cutting-edge research contributions exploring the interdisciplinary relationship of dynamics on and of complex networks. Topics covered include complex networks found in nature—genetic pathways, ecological networks, linguistic systems, and social systems—as well as man-made systems such as the World Wide Web and peer-to-peer networks. The contributed chapters in this volume are intended to promote cross-fertilization in several research areas, and will be valuable to newcomers in the field, experienced researchers, practitioners, and graduate students interested in systems exhibiting an underlying complex network structure in disciplines such as computer science, biology, statistical physics, nonlinear dynamics, linguistics, and the social sciences.

Fundamentals of Complex Networks

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Publisher : John Wiley & Sons
ISBN 13 : 1118718119
Total Pages : 384 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Fundamentals of Complex Networks by : Guanrong Chen

Download or read book Fundamentals of Complex Networks written by Guanrong Chen and published by John Wiley & Sons. This book was released on 2015-06-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks such as the Internet, WWW, transportation networks, power grids, biological neural networks, and scientific cooperation networks of all kinds provide challenges for future technological development. • The first systematic presentation of dynamical evolving networks, with many up-to-date applications and homework projects to enhance study • The authors are all very active and well-known in the rapidly evolving field of complex networks • Complex networks are becoming an increasingly important area of research • Presented in a logical, constructive style, from basic through to complex, examining algorithms, through to construct networks and research challenges of the future

Dynamic Processes on Complex Networks

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Dynamic Processes on Complex Networks by : Christos Nicolaides

Download or read book Dynamic Processes on Complex Networks written by Christos Nicolaides and published by . This book was released on 2014 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of dynamic processes that take place on heterogeneous networks is essential to better understand, forecast, and manage human activities in an increasingly connected world. In this Thesis, we elucidate the role of the network topology as well as the nature of the underlying processes in a variety of phenomena rooted on highly connected network systems. We use real world applications as the motivation to address three distinct questions. The first question is: how is the spread of infectious diseases at the global scale mediated by long-range human travel? We show that network topology, geography, traffic structure and individual mobility patterns are all essential for accurate predictions of disease spreading. Specifically, we study contagion dynamics through the air transportation network by means of a stochastic agent-tracking model that accounts for the spatial distribution of airports, detailed air traffic and the correlated nature of mobility patterns and waiting-time distributions of individual agents. We formulate a metric of influential spreading-the geographic spreading centrality-which provides an accurate measure of the early-time spreading power of individual nodes. The second question is: what is the effect of human behavioral changes in their mobility patterns on the dynamics of contagion through transportation networks? We address this question by developing a model of awareness coupled to disease spreading through mobility networks, where we implement two kinds of behavioral changes: selfish and policy-driven. In analogy with the concept of price of anarchy in transportation networks subject to congestion, we show that maximizing individual utility leads to a loss of welfare for the social group, measured here by the size of the outbreak. The third question is: what are the mechanisms behind the formation of cell assemblies in neural activity networks? From a neuroscience perspective: How can one explain functional compartmentalization in a globally-connected brain? Here we show that simple mechanisms of neural interaction allow for the emergence of robust cell assemblies through self-organization. We demonstrate the properties of such neural network processes with a minimal-ingredients model of excitation and inhibition between neurons that leads to self-organization of neural activity into local quantized states, even though the underlying network system is globally connected.

Adaptive Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 3642012841
Total Pages : 340 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Adaptive Networks by : Thilo Gross

Download or read book Adaptive Networks written by Thilo Gross and published by Springer Science & Business Media. This book was released on 2009-08-11 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adding one and one makes two, usually. But sometimes things add up to more than the sum of their parts. This observation, now frequently expressed in the maxim “more is different”, is one of the characteristic features of complex systems and, in particular, complex networks. Along with their ubiquity in real world systems, the ability of networks to exhibit emergent dynamics, once they reach a certain size, has rendered them highly attractive targets for research. The resulting network hype has made the word “network” one of the most in uential buzzwords seen in almost every corner of science, from physics and biology to economy and social sciences. The theme of “more is different” appears in a different way in the present v- ume, from the viewpoint of what we call “adaptive networks.” Adaptive networks uniquely combine dynamics on a network with dynamical adaptive changes of the underlying network topology, and thus they link classes of mechanisms that were previously studied in isolation. Here adding one and one certainly does not make two, but gives rise to a number of new phenomena, including highly robust se- organization of topology and dynamics and other remarkably rich dynamical beh- iors.

Dynamics On and Of Complex Networks, Volume 2

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Publisher : Springer Science & Business Media
ISBN 13 : 1461467292
Total Pages : 351 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Dynamics On and Of Complex Networks, Volume 2 by : Animesh Mukherjee

Download or read book Dynamics On and Of Complex Networks, Volume 2 written by Animesh Mukherjee and published by Springer Science & Business Media. This book was released on 2013-06-04 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book systematically explores the statistical dynamics on and of complex networks with a special focus on time-varying networks. In the constantly changing modern world, there is an urgent need to understand problems related to systems that dynamically evolve in either structure or function, or both. This work is an attempt to address such problems in the framework of complex networks. Dynamics on and of Complex Networks, Volume 2: Applications to Time-Varying Dynamical Systems is a collection of surveys and cutting-edge research contributions exploring key issues, challenges, and characteristics of dynamical networks that emerge in various complex systems. Toward this goal, the work is thematically organized into three main sections with the primary thrust on time-varying networks: Part I studies social dynamics; Part II focuses on community identification; and Part III illustrates diffusion processes. The contributed chapters in this volume are intended to promote cross-fertilization in several research areas and will be valuable to newcomers in the field, experienced researchers, practitioners, and graduate students interested in pursuing research in dynamical networks with applications to computer science, statistical physics, nonlinear dynamics, linguistics, and the social sciences. This volume follows Dynamics On and Of Complex Networks: Applications to Biology, Computer Science, and the Social Sciences (2009), ISBN 978-0-8176-4750-6.

Stability of Dynamical Processes on Complex Networks

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Stability of Dynamical Processes on Complex Networks by : Chiranjit Mitra

Download or read book Stability of Dynamical Processes on Complex Networks written by Chiranjit Mitra and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamical Systems on Networks

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Publisher : Springer
ISBN 13 : 3319266411
Total Pages : 91 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Dynamical Systems on Networks by : Mason Porter

Download or read book Dynamical Systems on Networks written by Mason Porter and published by Springer. This book was released on 2016-03-31 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.

Unraveling Complex Networks Under the Prism of Dynamical Processes

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Unraveling Complex Networks Under the Prism of Dynamical Processes by : Michael Thomas Schaub

Download or read book Unraveling Complex Networks Under the Prism of Dynamical Processes written by Michael Thomas Schaub and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Network Systems

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781986425643
Total Pages : 300 pages
Book Rating : 4.4/5 (256 download)

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Book Synopsis Lectures on Network Systems by : Francesco Bullo

Download or read book Lectures on Network Systems written by Francesco Bullo and published by Createspace Independent Publishing Platform. This book was released on 2018-03-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a mathematical introduction to multi-agent dynamical systems, including their analysis via algebraic graph theory and their application to engineering design problems. The focus is on fundamental dynamical phenomena over interconnected network systems, including consensus and disagreement in averaging systems, stable equilibria in compartmental flow networks, and synchronization in coupled oscillators and networked control systems. The theoretical results are complemented by numerous examples arising from the analysis of physical and natural systems and from the design of network estimation, control, and optimization systems.

Learning Dynamical Processes from Structure in Complex Networks

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)

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Book Synopsis Learning Dynamical Processes from Structure in Complex Networks by : Sayat Mimar

Download or read book Learning Dynamical Processes from Structure in Complex Networks written by Sayat Mimar and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Many physical, biological, social and technological systems have astonishing complex organization. They are all composed of individual components that are interacting with each other in a certain fashion. Such systems can be represented by networks that provide a convenient framework to analyze their topological properties. Understanding structural organization of networks is imperative to study dynamical processes that are taking place over them and to model many real-world complex systems. Some examples include the spread of news or information in a social network or the robustness of Internet to cascading failures of routers. It was previously reported that the underlying network architecture is able to control and shape these associated nonlinear dynamical processes. In this thesis, we aim at uncovering the exact connection between certain dynamical processes and complex topology of networks. More precisely, we study pattern formation as well as percolation phenomena. We first articulate theoretical perspectives by studying reaction diffusion models and percolation processes on synthetic networks. This gives us the freedom to systematically tune the underlying network architecture by random graph models and monitor the effects on the dynamics. Our results shed new light on the complex interplay between structure and dynamics that motivate us to investigate realistic scenarios. For each case, we extend our work to real world networks by performing analyses that capture empirical aspects of the systems considered. Namely, we propose an application to model the evolution of competing languages in a geographical region that spread over a contact network representing population flows. We show the robustness and generalizability of our framework on two different data-sets and discuss more applications in other socioeconomic systems, such as opinion formation. Additionally, we develop a machine learning approach to study percolation transition happening on time evolving networks. We find that identifying correct node subsets through a microscopic decomposition technique yields accurate results for the classification of sub-critical and super-critical percolation phases as well as for prediction of critical transition point. We test our method on two different real world settings for both purposes and propose further applications. Lastly, we finish the thesis with a pure empirical study to predict urban economic welfare through the structural analysis of global mobility network. We first determine the most effective network-based predictor of economic prosperity by its correlation to various socioeconomic indicators. We then develop a generative model that captures the costs and benefits of allocating out-flows of each urban area towards its neighbors. Our results hint at the importance of leveraging inter-urban connections for urban development and welfare"--Pages ix-x