Random Graph Dynamics

Author: Rick Durrett
Editor: Cambridge University Press
ISBN: 1139460889
File Size: 73,84 MB
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The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.

Dynamics Of Macrosystems

Author: Jean Pierre Aubin
Editor: Springer Verlag
ISBN:
File Size: 49,44 MB
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Mixing Time Of The Swendsen Wang Dynamics On The Complete Graph And Trees

Author: Yun Long
Editor:
ISBN:
File Size: 23,20 MB
Format: PDF
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Los Alamos Science

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File Size: 50,53 MB
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Proceedings

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ISBN:
File Size: 13,55 MB
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New Frontiers In Graph Theory

Author: Yagang Zhang
Editor: BoD – Books on Demand
ISBN: 9535101153
File Size: 30,59 MB
Format: PDF
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Nowadays, graph theory is an important analysis tool in mathematics and computer science. Because of the inherent simplicity of graph theory, it can be used to model many different physical and abstract systems such as transportation and communication networks, models for business administration, political science, and psychology and so on. The purpose of this book is not only to present the latest state and development tendencies of graph theory, but to bring the reader far enough along the way to enable him to embark on the research problems of his own. Taking into account the large amount of knowledge about graph theory and practice presented in the book, it has two major parts: theoretical researches and applications. The book is also intended for both graduate and postgraduate students in fields such as mathematics, computer science, system sciences, biology, engineering, cybernetics, and social sciences, and as a reference for software professionals and practitioners.

The Oxford Handbook Of Social Networks

Author: Ryan Light
Editor: Oxford University Press, USA
ISBN: 019025176X
File Size: 49,33 MB
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"Social networks fundamentally shape our lives. Networks channel the ways that information, emotions, and diseases flow through populations. Networks reflect differences in power and status in settings ranging from small peer groups to international relations across the globe. Network tools even provide insights into the ways that concepts, ideas and other socially generated contents shape culture and meaning. As such, the rich and diverse field of social network analysis has emerged as a central tool across the social sciences. This Handbook provides an overview of the theory, methods, and substantive contributions of this field. The thirty-three chapters move through the basics of social network analysis aimed at those seeking an introduction to advanced and novel approaches to modeling social networks statistically. The Handbook includes chapters on data collection and visualization, theoretical innovations, links between networks and computational social science, and how social network analysis has contributed substantively across numerous fields. As networks are everywhere in social life, the field is inherently interdisciplinary and this Handbook includes contributions from leading scholars in sociology, archaeology, economics, statistics, and information science among others"--

Complexity And Nonlinear Dynamics

Author: Axel Bender
Editor: Society of Photo Optical
ISBN:
File Size: 79,75 MB
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Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references in patent literature.

Random Networks

Author: Sreekalyani Shankar Bhamidi
Editor:
ISBN:
File Size: 17,44 MB
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Ims Bulletin

Author:
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ISBN:
File Size: 33,33 MB
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Network Dynamics

Author: Lada A. Adamic
Editor:
ISBN:
File Size: 54,52 MB
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Advances In Magnetic And Optical Resonance

Author: Warren S. Warren
Editor: Academic Pr
ISBN:
File Size: 38,79 MB
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Praise for the SerialSince 1965, Advances in Magnetic and Optical Resonance has provided researchers with timely expositions of fundamental new developments in the theory of, experimentation with, and application of magnetic and optical resonance.

Physical Review

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ISBN:
File Size: 40,19 MB
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Small Worlds

Author: Duncan J. Watts
Editor: Princeton University Press
ISBN: 9780691117041
File Size: 58,94 MB
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Everyone knows the small-world phenomenon. Watts uses this intriguing phenomenon--colloquially called "six degrees of separation"--as a prelude to a more general exploration: under what conditions can a small world arise in any kind of network?

Emergent Computation

Author: Stephanie Forrest
Editor: Mit Press
ISBN:
File Size: 60,43 MB
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Researchers in several fields are exploring computational systems in which interesting global behavior emerges from local interactions among component parts - an approach called emergent computation. In these systems, interactions among simultaneous computations are exploited to improve efficiency, increase flexibility, or provide more realistic models of natural phenomena. These 31 essays define and explore the concept of emergent computation in such areas as artificial networks, adaptive systems, classifier systems, connectionist learning, other learning, and biological networks to determine what properties are required of the supporting architectures that generate them. Many of the essays share the themes of design (how to construct such systems), the importance of preexisting structure to learning and the role of parallelism, and the tension between cooperative and competitive models of interaction. In the introduction, Stephanie Forrest presents several detailed examples of the kinds of problems emergent computation can address. These include showing how emergent computation can lead to efficiency improvements in parallel processing, establishing the connection between emergent computation and nonlinear systems, and comparing two search techniques to show how the emergent-computational approach to a problem differs from other more conventional approaches. Stephanie Forrest is Assistant Professor in the Department of Computer Science at the University of New Mexico. She is also affiliated with the Center for Nonlinear Studies and Computing Division at Los Alamos National Laboratory.

Mathematical Reviews

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File Size: 17,56 MB
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Beam Halo Dynamics Diagnostics And Collimation

Author: Jie Wei
Editor: Amer Inst of Physics
ISBN:
File Size: 26,29 MB
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This book documents comprehensive reviews and state-of-the-art studies in the dynamics, diagnostics, and collimation of charged-particle beam halo and in beam-beam interaction. Challenges and solutions to major accelerator facilities in Europe, Asia, and America in the domain of high intensity, high energy, and high brightness charged particles are presented. Latest breakthroughs in physical analysis, engineering design, and experimental tests are included.

Heidelberg Colloquium On Glassy Dynamics

Author: Jan Leonard Hemmen
Editor: Springer Verlag
ISBN:
File Size: 49,50 MB
Format: PDF
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Disorder In Physical Systems

Author: John Michael Hammersley
Editor: Oxford University Press
ISBN:
File Size: 72,92 MB
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The mathematical study of random phenomena has advanced greatly during the last 30 years. This collection of papers surveys the current state of mathematical research in this area, and is dedicated to John Hammersley, an influential researcher in this field.