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Statistical Mechanics Of Complex Networks

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Statistical Mechanics Of Complex Networks

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Author : Romualdo Pastor-Satorras
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-08-08

Statistical Mechanics Of Complex Networks written by Romualdo Pastor-Satorras and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-08 with Science categories.

Networks can provide a useful model and graphic image useful for the description of a wide variety of web-like structures in the physical and man-made realms, e.g. protein networks, food webs and the Internet. The contributions gathered in the present volume provide both an introduction to, and an overview of, the multifaceted phenomenology of complex networks. Statistical Mechanics of Complex Networks also provides a state-of-the-art picture of current theoretical methods and approaches.

A Concise Introduction To The Statistical Physics Of Complex Systems

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Author : Eric Bertin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-28

A Concise Introduction To The Statistical Physics Of Complex Systems written by Eric Bertin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-28 with Science categories.

This concise primer (based on lectures given at summer schools on complex systems and on a masters degree course in complex systems modeling) will provide graduate students and newcomers to the field with the basic knowledge of the concepts and methods of statistical physics and its potential for application to interdisciplinary topics. Indeed, in recent years, statistical physics has begun to attract the interest of a broad community of researchers in the field of complex system sciences, ranging from biology to the social sciences, economics and computer science. More generally, a growing number of graduate students and researchers feel the need to learn some basic concepts and questions originating in other disciplines without necessarily having to master all of the corresponding technicalities and jargon. Generally speaking, the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting ‘entities’, and on the other to predict the macroscopic (or collective) behavior of the system considered from the microscopic laws ruling the dynamics of the individual ‘entities’. These two goals are, to some extent, also shared by what is nowadays called ‘complex systems science’ and for these reasons, systems studied in the framework of statistical physics may be considered as among the simplest examples of complex systems—allowing in addition a rather well developed mathematical treatment.

Statistical Mechanics Of Complex Networks

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Author : Albert Diaz-Guilera
language : en
Publisher:
Release Date : 2003

Statistical Mechanics Of Complex Networks written by Albert Diaz-Guilera and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Biophysics categories.

Dynamical Processes On Complex Networks

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Author : Alain Barrat
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-11

Dynamical Processes On Complex Networks written by Alain Barrat and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-11 with Science categories.

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.

Statistical Mechanics Of Complex Networks

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Author : Réka Zsuzsánna Albert
language : en
Publisher:
Release Date : 2001

Statistical Mechanics Of Complex Networks written by Réka Zsuzsánna Albert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Large Scale Structure And Dynamics Of Complex Networks

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Author : Guido Caldarelli
language : en
Publisher: World Scientific
Release Date : 2007

Large Scale Structure And Dynamics Of Complex Networks written by Guido Caldarelli and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computers categories.

This book is the culmination of three years of research effort on a multidisciplinary project in which physicists, mathematicians, computer scientists and social scientists worked together to arrive at a unifying picture of complex networks. The contributed chapters from a reference for the various problems in data analysis visualization and modeling of complex networks.

The Structure Of Complex Networks

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Author : Ernesto Estrada
language : en
Publisher: American Chemical Society
Release Date : 2012

The Structure Of Complex Networks written by Ernesto Estrada and has been published by American Chemical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.

The book integrates approaches from mathematics, physics and computer sciences to analyse the organisation of complex networks. Every organisational principle of networks is defined, quantified and then analysed for its influences on the properties and functions of molecular, biological, ecological and social networks.

Analysis Of Complex Networks

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Author : Matthias Dehmer
language : en
Publisher: John Wiley & Sons
Release Date : 2009-07-10

Analysis Of Complex Networks written by Matthias Dehmer and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-10 with Medical categories.

Mathematical problems such as graph theory problems are of increasing importance for the analysis of modelling data in biomedical research such as in systems biology, neuronal network modelling etc. This book follows a new approach of including graph theory from a mathematical perspective with specific applications of graph theory in biomedical and computational sciences. The book is written by renowned experts in the field and offers valuable background information for a wide audience.

Statistical Mechanics Of Complex Networks

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Author : Romualdo Pastor-Satorras
language : en
Publisher:
Release Date : 2014-01-15

Statistical Mechanics Of Complex Networks written by Romualdo Pastor-Satorras and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Complex Networks

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Author : Guido Caldarelli
language : en
Publisher: EOLSS Publications
Release Date : 2010-11-30

Complex Networks written by Guido Caldarelli and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-30 with categories.

The field of complex network exploded since the 1990s, the number of publications in a variety of different areas has grown exponentially and practically, and every discipline started to recognize the presence of these mathematical structures in its area of research. Actually almost any system from the nowadays traditional example of the Internet to complex patterns of metabolic reactions can be analyzed through the graph theory. In its simplest and non rigorous definition a graph is a mathematical object consisting of a set of elements (vertices) and a series of links between these vertices (edges). This is of course a very general description, and as any mathematical abstraction, the idea is to discard many of the particular properties of the phenomenon studied. Nevertheless, this modeling is remarkably accurate for a variety of situations. Vertices can be persons related by friendship or acquaintances relations. Vertices can be proteins connected with one another if they interact in the cell. Networks have always existed in Nature of course, but it is fair to say that given the present technological explosion, they became more and more important. Starting from the Internet the web of connections between computers we started to link and share our documents through web applications and we start to get connected with a number of persons larger than usual. It is this revolution in our daily habit that made natural thinking of networks in science and research. Once this has been realized it became natural to see the cell as a network of molecular events from chemical reactions to gene expressions. The point is to establish if this new perspective can help researchers in finding new results and by understanding the development of these phenomena and possibly control their evolution. We believe that this is the case and in the following we shall provide the evidence of that. Together with applications there are of course true scientific questions attached to network theory. Consider the various ways in which the edges are distributed among the vertices: even by keeping the number of edges and vertices constant we have many different patterns possible. Interestingly some features used to describe these shapes are not related to the particular example considered, but instead they are universal. That is to say they can be found in almost any network around. In this book, we introduce the subject of complex networks and we present the structure of the associated topics that range from social science to biology and finance. We start by considering the mathematical foundations of networks and we then move to an overview of the various applications

Statistical Mechanics Of Complex Networks

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