%0 Book Section %1 statphys23_0853 %A Castellano, C. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K contact dynamics glauber mean-field model networks process statphys23 topic-11 voter %T Heterogeneous mean-field theory and the dynamics on scale-free networks. %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=853 %X Scale-free networks are characterized by strong fluctuations of node connectivities that profoundly affect dynamical processes occurring on them. Usual simple mean-field treatments are not sufficient to deal with these fluctuations and need to be modified to explictly take into account the dependence on the degree, leading to nontrivial heterogeneous mean-field theories. We discuss the application and the limits of validity of heterogeneous mean-field theory for absorbing phase-transitions, as the contact process, and for ordering phenomena as the voter model and Glauber dynamics at zero temperature.

@incollection{statphys23_0853, abstract = {Scale-free networks are characterized by strong fluctuations of node connectivities that profoundly affect dynamical processes occurring on them. Usual simple mean-field treatments are not sufficient to deal with these fluctuations and need to be modified to explictly take into account the dependence on the degree, leading to nontrivial heterogeneous mean-field theories. We discuss the application and the limits of validity of heterogeneous mean-field theory for absorbing phase-transitions, as the contact process, and for ordering phenomena as the voter model and Glauber dynamics at zero temperature.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Castellano, C.}, biburl = {https://www.bibsonomy.org/bibtex/21ccea8e353b967f7bb8c79a996b3a188/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {73ff1ba53c4e3f0e1f4ef97efda62746}, intrahash = {1ccea8e353b967f7bb8c79a996b3a188}, keywords = {contact dynamics glauber mean-field model networks process statphys23 topic-11 voter}, month = {9-13 July}, timestamp = {2007-06-20T10:16:31.000+0200}, title = {Heterogeneous mean-field theory and the dynamics on scale-free networks.}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=853}, year = 2007 }