[Sergey Dorogovtsev]

   Sergey Dorogovtsev - home page - homepage

   I am playing with networks

Our world has a network construction. Networks are everywhere: cellular networks, the Internet, the Web, social and economics networks. All these networks are extremely compact, infinite-dimensional objects with complex architectures. The questions are:
  • How are the networks organized?
  • How do these complex architectures emerge? How do networks evolve?
  • What is special about processes taking place on the complex networks?
  • How to design an optimal network?

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NEW RESULTS ARE HERE: Sergei Serguei f2358
Critical phenomena in complex networks, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. 80, 1275 (2008). This is our recent large review article. The cond-mat version arXiv:0705.0010 of the review is essentially more detailed.

• S. N. Dorogovtsev, Lectures on Complex Networks,
Oxford University Press, Oxford, February 2010, 144 pp., 93 line illus.

see THE BOOK COMPANION SITE (remarks, corrections, links to photos)

[cover: dorogovtsev, lectures on complex networks]

This text is a very concise modern introduction to the science of networks. My aim is to introduce a reader without serious background in mathematics or physics to the world of networks. The book contains discussion of recent results.

WTable of contents, the first lecture, index - pdf

WFor the full text (paperback and hardback), see:
WOXFORD UK & EUROPE
WOXFORD USA
-, AMAZON.COM
WAMAZON.CO.UK
WBARNES & NOBLE

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• S. N. Dorogovtsev and J. F. F. Mendes, -- BOOK ABOUT NETWORKS
Evolution of Networks: From Biological Nets to the Internet and WWW,
Oxford University Press, Oxford, 16 January 2003, 280 pp., 117 line illus.

[evolution of networks cover]

WThe final version is here:

WEvolution of Networks: From Biological Nets... - pdf
W

WFor paper form see:
WOXFORD UK & EUROPE
WOXFORD USA
-, AMAZON.COM
WAMAZON.CO.UK
WBARNES & NOBLE

N From the back cover gt Table of contents gt Preface gt Corrections



The shortest path to complex networks, S.N. Dorogovtsev and J.F.F. Mendes, cond-mat/0404593.
In these introductory notes for `pedestrians' we describe the current state of the art in the science of complex networks.

Evolution of networks, S.N. Dorogovtsev and J.F.F. Mendes, Advances in Physics 51, 1079-1187 (2002). cond-mat/0106144.
This is our large review about networks.

Courses in Aveiro:
1. Complex systems.
2. Advanced chapters of statistical physics.
3. Advanced chapters of solid state physics.

University of Aveiro
Ioffe Institute, St. Petersburg

[piter]

St. Petersburg, Leonhard Euler's city.
20 January 2010