Complex Systems & Random Networks


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José Mendes

Professor of Physics (PhD 1995, U. Porto)

Head of Physics Department (2004- ...)

Director of I3N-Aveiro

President I3N, since 2009
Campus Universitario de Santiago, 3810-193 Aveiro
M-Phone: 917 585 544
Lab Phone: 234 378 104


Beatriz (daughter)

Phys Dept (USA)



My research, in the last years, focus mainly in the study of the structure and the evolution of communications networks, the World Wide Web, the Internet, biological networks, etc. Other interests are related with: granular media, self-organized criticality, non-equilibrium phase transitions, deposition models,etc. In fact, my last research on networks has inumerous applications and is a realization of a general principle: popularity is attractive.

Selected Publications:

S.N. Dorogovtsev, A. V. Goltsev and Mendes J F F
Rev. Mod. Phys. 80, 1275 (2008)
Critical phenomena in complex networks

Evolution of  Networks: From Biological nets to the Internet and
WWW S.N. Dorogovtsev e J.F.F. Mendes
Oxford University Press (2003)

S.N. Dorogovtsev and Mendes J F F
Phys. Rev. Lett. 83, 2946 (1999)
How sandpiles spill: Sandpile problem in a thick flow regime

S.N. Dorogovtsev, Mendes J F F and A.N. Samukhin
Phys. Rev. Lett. 85, 4633 (2000)
Structure of growing networks with preferential linking

S.N. Dorogovtsev and Mendes J F F
Phys. Rev. Lett. 87, 219801 (2001)
Comment "Breakdown of the internet under intentional attack", Phys. Rev. Lett. 83, 3682 (2001)

S.N. Dorogovtsev and Mendes J F F
Advances in Physics 51, 1079 (2002)
Evolution of networks

S.N. Dorogovtsev, J.F.F. Mendes, A:M. Povolotsky and A.N. Samukhin
Phys. Rev. Lett.  95, 195701 (2005)


Curriculum Vitae

  University of Aveiro
Department of Physics
3810-193 Aveiro, Portugal

Phone: (351) 234 378 104
Fax: (351) 234 424 965

  • Citizenship:
  • Education:
  • Employment and Teaching Experience:
  • Scholarships, Fellowships, Awards:
      --1988 Master, fellowship from INIC --1991 Fellowship of Fundação Caloute Gulbenkian
      --1991 Fellowship of Fundação Gomes Teixeira
      --1991 PhD Grant, INIC/JNICT
      --1995 Grant from Fundação Luso-Americana (FLAD)
      --1997 PosDoc grant, PRAXIS XXI/BPD/6084/95
  • Books:
  • Book chapters:
    • S.N. Dorogovtsev and J.F.F. Mendes,
      "Handbook of Graphs and Networks: From the Genome to the Internet", eds. S. Bornholdt and H.G. Schuster (Wiley-VCH, Berlin, 2002), pp. 320-343, cond-mat/0204102

    Recent papers:

    Transition from small to large world in growing networks, S. N. Dorogovtsev, P. L. Krapivsky, and J. F. F. Mendes, EPL 81, 30004 1-5 (2008); arXiv:0709.3094 [cond-mat].

    Laplacian spectra of complex networks and random walks on them: Are scale-free architectures really important?, A. N. Samukhin, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E , (2008); arXiv:0706.1176 [cond-mat].

    Critical phenomena in complex networks, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. , (2008); arXiv:0705.0010 [cond-mat].

    BKT-like transition in the Potts model on an inhomogeneous annealed network, E. Khajeh, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E 75, 041112 1-6 (2007); cond-mat/0701156.

    k-core architecture and k-core percolation on complex networks, A. V. Goltsev, S. N. Dorogovtsev, and J. F. F. Mendes, Physica D 224, 7-19 (2006).

    k-core (bootstrap) percolation on complex networks: Critical phenomena and nonlocal effects, A. V. Goltsev, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E 73, 056101 1-10 (2006); cond-mat/0602611.

    k-core percolation and k-core organization of complex networks, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. Lett. 96, 040601 1-4 (2006); cond-mat/0509102.

    Correlations in interacting systems with a network topology, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. E 72, 066130 1-4 (2005); cond-mat/0506002.

    Organization of complex networks without multiple connections, S. N. Dorogovtsev, J. F. F. Mendes, A. M. Povolotsky, and A. N. Samukhin, Phys. Rev. Lett. 95, 195701 1-4 (2005); cond-mat/0505193.  


      The following lists of countries, and cities summarize the sites where invited lectures, talks, seminars, courses have been given at universities, conferences, etc...

      Countries = 27:
      Spain, France, Norway, UK, USA, Brasil, Germany, Hungary, Switzerland, Norway, Italy, Belgium, Republic Czech, Russia, Israel, Sweden, Lithuania, Korea, Denmark, Turkey, Greece, Romenia, Canada, Luxembourg, Poland, Wales, China

      Cities = 70:
      Granada, Madrid, Santiago de Compustela, Palma Malorca, Sitges, Nancy, Paris, Geilo, Oxford, Birmingham, Boston, New York, Santa Fé, Maryland, S. Paulo, Belo Horizonte, Potsdam, Berlin, Kiel, Dresden, Bad Honnef, Marburg, Budapest, Lausanne, Geneva, Roma, Pavia, Trieste,  Maratea, Brussels, Praga, St. Petersburg,  Stockholm, Tel Aviv, Vilnius, Seoul, Nyborg, Les Houches, Istambul, Athens, Terrytown (NY), Rimini, Barcelona, Liverpool, Cardiff, Norwich, Madeira, Louvain-la-Neuve, Cambridge,
      Baltimore, Florence, Venice, Wye, Cluj-Napoca, Maresias, Erice, Toronto, Palermo, Pisa, Gdansk, Catania, Eilat, Nice, Venice, Creta, Frankfurt, Bielefeld, San Francisco, Aguas de Lindoia, Beijing,


      Other Cities I know:

  • Vigo, Corunha, Sevilha, Sansencho, Tours, Heidelberg, Estugarda, Munique, Hamburgo, Lausane, Zurique, Milão, Koblenz, Bona, Luxemburgo, Florença, Buyukada, Trondeime, Oslo, Palo Alto, Mountain View, , St. Moritz, Roma, Napoles, Providence, Quincy, New Brunswick, Tarrytown, Mostóles, Toledo, Chania,






    Departamento de Física

    Universidade de Aveiro

    Campus Universitario de Santiago

    3810-193 Aveiro - Portugal


    Tel: 351 234 378 104

    Fax: 351 234 424 964