Statistical Mechanics of Complex Networks

Statistical Mechanics of Complex Networks
Title Statistical Mechanics of Complex Networks PDF eBook
Author Romualdo Pastor-Satorras
Publisher Springer Science & Business Media
Pages 232
Release 2003-08-08
Genre Science
ISBN 9783540403722

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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.

Dynamical Processes on Complex Networks

Dynamical Processes on Complex Networks
Title Dynamical Processes on Complex Networks PDF eBook
Author Alain Barrat
Publisher Cambridge University Press
Pages 361
Release 2012-10-11
Genre Science
ISBN 9781107626256

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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.

The Structure of Complex Networks

The Structure of Complex Networks
Title The Structure of Complex Networks PDF eBook
Author Ernesto Estrada
Publisher Oxford University Press
Pages 478
Release 2012
Genre Computers
ISBN 019959175X

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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.

Data Science and Complex Networks

Data Science and Complex Networks
Title Data Science and Complex Networks PDF eBook
Author Guido Caldarelli
Publisher Oxford University Press
Pages 136
Release 2016-11-10
Genre Science
ISBN 0191024023

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This book provides a comprehensive yet short description of the basic concepts of Complex Network theory. In contrast to other books the authors present these concepts through real case studies. The application topics span from Foodwebs, to the Internet, the World Wide Web and the Social Networks, passing through the International Trade Web and Financial time series. The final part is devoted to definition and implementation of the most important network models. The text provides information on the structure of the data and on the quality of available datasets. Furthermore it provides a series of codes to allow immediate implementation of what is theoretically described in the book. Readers already used to the concepts introduced in this book can learn the art of coding in Python by using the online material. To this purpose the authors have set up a dedicated web site where readers can download and test the codes. The whole project is aimed as a learning tool for scientists and practitioners, enabling them to begin working instantly in the field of Complex Networks.

A Kinetic View of Statistical Physics

A Kinetic View of Statistical Physics
Title A Kinetic View of Statistical Physics PDF eBook
Author Pavel L. Krapivsky
Publisher Cambridge University Press
Pages 504
Release 2010-11-18
Genre Science
ISBN 9780521851039

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Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics. It focuses on the development and application of theoretical methods to help students develop their problem-solving skills. The book begins with microscopic transport processes: diffusion, collision-driven phenomena, and exclusion. It then presents the kinetics of aggregation, fragmentation and adsorption, where the basic phenomenology and solution techniques are emphasized. The following chapters cover kinetic spin systems, both from a discrete and a continuum perspective, the role of disorder in non-equilibrium processes, hysteresis from the non-equilibrium perspective, the kinetics of chemical reactions, and the properties of complex networks. The book contains 200 exercises to test students' understanding of the subject. A link to a website hosted by the authors, containing supplementary material including solutions to some of the exercises, can be found at www.cambridge.org/9780521851039.

Large Scale Structure And Dynamics Of Complex Networks: From Information Technology To Finance And Natural Science

Large Scale Structure And Dynamics Of Complex Networks: From Information Technology To Finance And Natural Science
Title Large Scale Structure And Dynamics Of Complex Networks: From Information Technology To Finance And Natural Science PDF eBook
Author Alessandro Vespignani
Publisher World Scientific
Pages 264
Release 2007-06-28
Genre Computers
ISBN 9814475416

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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 form a reference for the various problems in data analysis visualization and modeling of complex networks.

Statistical Mechanics

Statistical Mechanics
Title Statistical Mechanics PDF eBook
Author James Sethna
Publisher OUP Oxford
Pages 374
Release 2006-04-07
Genre Science
ISBN 0191566217

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In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.