id author title date pages extension mime words sentences flesch summary cache txt cord-007415-d57zqixs da Fontoura Costa, Luciano Correlations between structure and random walk dynamics in directed complex networks 2007-07-30 .txt text/plain 2202 124 58 They establish the necessary conditions for networks to be topologically and dynamically fully correlated (e.g., word adjacency and airport networks), and show that in this case Zipf's law is a consequence of the match between structure and dynamics. They establish the necessary conditions for networks to be topologically and dynamically fully correlated ͑e.g., word adjacency and airport networks͒, and show that in this case Zipf's law is a consequence of the match between structure and dynamics. 2766683͔ We address the relationship between structure and dynamics in complex networks by taking the steady-state distribution of the frequency of visits to nodes-a dynamical feature-obtained by performing random walks 1 along the networks. In addition to providing a modeling approach intrinsically compatible with dynamics involving successive visits to nodes by a single or multiple agents, such as is the case with world wide web ͑WWW͒ navigation, text writing, and transportation systems, random walks are directly related to diffusion. ./cache/cord-007415-d57zqixs.txt ./txt/cord-007415-d57zqixs.txt