Title
Backtracking and Mixing Rate of Diffusion on Uncorrelated Temporal Networks.
Abstract
We consider the problem of diffusion on temporal networks, where the dynamics of each edge is modelled by an independent renewal process. Despite the apparent simplicity of the model, the trajectories of a random walker exhibit non-trivial properties. Here, we quantify the walker's tendency to backtrack at each step (return where he/she comes from), as well as the resulting effect on the mixing rate of the process. As we show through empirical data, non-Poisson dynamics may significantly slow down diffusion due to backtracking, by a mechanism intrinsically different from the standard bus paradox and related temporal mechanisms. We conclude by discussing the implications of our work for the interpretation of results generated by null models of temporal networks.
Year
DOI
Venue
2017
10.3390/e19100542
ENTROPY
Keywords
Field
DocType
temporal networks,random walks
Renewal theory,Random walk,Uncorrelated,Random walker algorithm,Backtracking,Statistics,Diffusion,Mathematics
Journal
Volume
Issue
ISSN
19
10
1099-4300
Citations 
PageRank 
References 
0
0.34
10
Authors
3
Name
Order
Citations
PageRank
Martin Gueuning121.71
Renaud Lambiotte292064.98
Jean-Charles Delvenne329932.41