Theoretical Physics

Many systems in nature can be described as large networks (nodes or vertices connected by links or edges): Friendship networks, computer networks, metabolic networks, power grids, scientific citations, neural networks. and so on. These networks have a degree of both randomness and structure.
A good illustration is shown below: It is an excerpt of a graph where the nodes are HTML-documents (just like this page) and the links are hyperlinks (just like this). (The image is produced by a toolkit from the CAIDA association.) The color represents the number of times a certain page is visited, or a link is followed. We study such systems with the methods of statistical physics.

People Petter Minnhagen Andreas Grönlund Martin Rosvall Sebastian Bernhardsson

Press Lättare hitta i New York än i Umeå, Emanuel Sidea, Metro (sid 3). The urban maze, Philip Ball, news@nature.com O amor nos tempos do chat. Att dra nytta av nätverks struktur. Internet daters are more adventurous, Heather Catchpole, ABC Science. Internet dating analysed, Helen Pearson, news@nature.com External links Center for models of life

• Martin Rosvall, Andreas Grönlund, Petter Minnhagen and Kim Sneppen, Searchability of networks, Phys. Rev. E 72, 046117 (2005), cond-mat/0505400
• Andreas Grönlund and Petter Holme, A network-based threshold model for the spreading of fads in society and markets, Advances in Complex systems, Vol. 8, Nos 2 & 3 (2005) 261-273,  physics/0505050
• Petter Holme and Andreas Grönlund, Modelling the dynamics of youth subcultures, JASSS, ISBN 1460-7425,Vol 8, No 3 (2005), physics/0504181
• Martin Rosvall, Petter Minnhagen and Kim Sneppen, Navigating networks with limited information, Phys. Rev. E. 71, 066111 (2005).
• Martin Rosvall, Ala Trusina, Petter Minnhagen and Kim Sneppen, Networks and cities: An information perspective, Phys. Rev. Lett. 94, 028701 (2005)
• Kim Sneppen, Ala Trusina and Martin Rosvall, Hide and seek on complex networks, Europhys. Lett. 69, 853 (2005)
• Ala Trusina, Martin Rosvall and Kim Sneppen, Communication boundaries in networks, Phys. Rev. Lett. 94, 238701 (2005).
• Andreas Grönlund, Petter Minnhagen and Kim Sneppen, Correlations in networks associated to preferential growth, Physica Scripta, Vol 71, 6, 680, (2005), cond-mat/0401537
• Andreas Grönlund, Networking genetic regulations and neural computation: Directed network topology and its effect on the dynamics, Phys. Rev. E. 70 061908 (2004)
  
• Petter Holme, Efficient local strategies for vaccination and network attack.
• Petter Minnhagen, Martin Rosvall, Kim Sneppen and Ala Trusina, Self organization of large-scale structures from merging and small-scale fluctuations.
• Kim Sneppen, Martin Rosvall, Ala Trusina and Petter Minnhagen, Scale free structures from merging and small-scale excitations.
  
• Beom Jun Kim, Performance of networks of artificial neurons: The role of clustering, Phys. Rev. E. 69, (2004) 045101.
  
• Andreas Grönlund and Petter Holme, Networking the seceder model: Group formation in social and economic systems, Phys. Rev. E 70, 036108 (2004).
  
• Petter Minnhagen, Beom Jun Kim and Andreas Grönlund, Scaling determination of the nonlinear I-V chacarateristics for two-dimensional superconducting networks, Phys Rev B 69, 064515 (2004)
• Beom Jun Kim, Phase transitions in the modified fiber bundle model, to appear in Europhys. Lett.
• Beom Jun Kim, Ala Trusina, Petter Minnhagen, and Kim Sneppen, Self Organized Scale-Free Networks from Merging and Regeneration.
• Petter Holme and Mikael Huss, Discovery and analysis of biochemical subnetwork hierarchies, 3rd Workshop on Computation of Biochemical Pathways and Genetic Networks, R. Gauges, U. Kummer, J. Pahle, and U. Rost, eds., European Media Lab Proceedings (Logos, Berlin, 2003), pp. 3-9.
• H. Hong, Beom Jun Kim, M.Y Choi, and Hyunggyu Park, Factors that predict better synchronizability on complex networks, to appear in Phys. Rev. E.
• Martin Rosvall, Kim Sneppen, Modelling Dynamics of Information Networks, Phys. Rev. Lett. 91, 178701 (2003). (See also this page.)
  
• Ala Trusina, Sergei Maslov, Petter Minnhagen, Kim Sneppen, Hierarchy Measures in Complex Networks, to appear in Phys. Rev. Lett.
• Petter Holme, Network dynamics of ongoing social relationships, Europhys. Lett. 64, 427-433 (2003).
• Petter Holme, Ala Trusina, Beom Jun Kim, and Petter Minnhagen, Prisoners' dilemma in real-world acquaintance networks: Spikes and quasi-equilibria induced by the interplay between structure and dynamics, Phys. Rev. E 68, 030901(R) (2003).
  
• Beom Jun Kim, H. Hong, and M.Y. Choi, Quantum diffusion on small-world networks, Phys. Rev. B 68, 014304 (2003).
• Daun Jeong, H. Hong, Beom Jun Kim, and M.Y. Choi, Phase transition in the Ising model on a small-world network with distance-dependent interactions, Phys. Rev. E 68, 027101 (2003).