[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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• S. N. Dorogovtsev and J. F. F. Mendes, The Nature of Complex Networks
(Oxford University Press, 15 June 2022), 463 pp., 172 line illus.

• This is a combination of a reference book, an advanced text, and a survey of the current state-of-the-art.
• Provides a systematic account of the statistical mechanics of complex networks
• Covers recent trends, concepts, and theoretical techniques
• Extensive bibliography

[the nature of complex
networks cover]

WFirst pages including the Table of Contents - pdf

• S. N. Dorogovtsev, Lectures on Complex Networks
(Oxford University Press, Oxford, 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
WNext lectures u Next-next u Next-next-next

WFor the full text (paperback and hardback), see:

• 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

WFor paper form see:

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

• G. J. Baxter, R. A. da Costa, S. N. Dorogovtsev, and J. F. F. Mendes, Weak Multiplex Percolation
(Cambridge University Press, Cambridge, 2021).

[weak multiplex percolation


Critical phenomena in complex networks, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. 80, 1275 (2008). The arXiv version arXiv:0705.0010 of this review is more detailed.

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. Complementos de Física Estatística (lecture notes - 2013).
3. Advanced chapters of solid state physics.
4. Temas e problemas (statistical mechanics and solid state physics).

Our PhD and Postdocs - what is great to know:
1. Complex variables and asymptotic methods.
2. Classical statistical mechanics.
3. Latex.
4. Mathematica.
5. Ubuntu, C++, Python, and our cluster.

University of Aveiro


St. Petersburg, Leonhard Euler's city.
22 January 2011