Fluctuation-dissipation relations in complex networks
A. Fronczak, P. Fronczak, и J. Hołyst. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Аннотация
In this paper, we study fluctuations over several ensembles of maximum-entropy random networks. We derive several fluctuation-dissipation relations characterizing the susceptibilities of different networks to changes in external fields. In the case of networks with a given degree sequence, we argue that the scale-free topologies of real-world networks may arise as a result of the self-organization of real systems into sparse structures with low susceptibility to random external disruptions. We also show that the ensembles of networks with a given degree sequence and networks characterized by two-point correlations are equivalent to random networks with hidden variables.
%0 Book Section
%1 statphys23_0321
%A Fronczak, A.
%A Fronczak, P.
%A Hołyst, J.A.
%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 complex correlations fluctuation-dissipation networks relations statphys23 topic-11
%T Fluctuation-dissipation relations in complex networks
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=321
%X In this paper, we study fluctuations over several ensembles of maximum-entropy random networks. We derive several fluctuation-dissipation relations characterizing the susceptibilities of different networks to changes in external fields. In the case of networks with a given degree sequence, we argue that the scale-free topologies of real-world networks may arise as a result of the self-organization of real systems into sparse structures with low susceptibility to random external disruptions. We also show that the ensembles of networks with a given degree sequence and networks characterized by two-point correlations are equivalent to random networks with hidden variables.
@incollection{statphys23_0321,
abstract = {In this paper, we study fluctuations over several ensembles of maximum-entropy random networks. We derive several fluctuation-dissipation relations characterizing the susceptibilities of different networks to changes in external fields. In the case of networks with a given degree sequence, we argue that the scale-free topologies of real-world networks may arise as a result of the self-organization of real systems into sparse structures with low susceptibility to random external disruptions. We also show that the ensembles of networks with a given degree sequence and networks characterized by two-point correlations are equivalent to random networks with hidden variables.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Fronczak, A. and Fronczak, P. and Ho{\l}yst, J.A.},
biburl = {https://www.bibsonomy.org/bibtex/26d73b82ff373e5c4267220ef68df4b45/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {57a5ffdd520f06045165ab1de2fff00b},
intrahash = {6d73b82ff373e5c4267220ef68df4b45},
keywords = {complex correlations fluctuation-dissipation networks relations statphys23 topic-11},
month = {9-13 July},
timestamp = {2007-06-20T10:16:17.000+0200},
title = {Fluctuation-dissipation relations in complex networks},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=321},
year = 2007
}