Imperial College London
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Till Hoffmann

Faculty of Natural Sciences, Department of Mathematics

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t.hoffmann

 
 
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Location

 

Sir Ernst Chain BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inbook{Hoffmann:2013,
author = {Hoffmann, TA and Porter, MA and Lambiotte, R},
booktitle = {Temporal Networks},
editor = {Holme and Saramäki},
pages = {295--313},
publisher = {Springer Verlag},
title = {Random Walks on Stochastic Temporal Networks},
year = {2013}
}
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RIS format (EndNote, RefMan)

TY  - CHAP
AB  - In the study of dynamical processes on networks, there has been intense focus on network structure—i.e., the arrangement of edges and their associated weights—but the effects of the temporal patterns of edges remains poorly understood. In this chapter, we develop a mathematical framework for random walks on temporal networks using an approach that provides a compromise between abstract but unrealistic models and data-driven but non-mathematical approaches. To do this, we introduce a stochastic modelfor temporal networks in which we summarize the temporal and structural organization of a system using a matrix of waiting-time distributions. We show that random walks on stochastic temporal networks can be described exactly by an integro-differential master equation and derive an analytical expression for its asymptotic steady state. We also discuss how our work might be useful to help build centrality measures for temporal networks.
AU  - Hoffmann,TA
AU  - Porter,MA
AU  - Lambiotte,R
EP  - 313
PB  - Springer Verlag
PY  - 2013///
SN  - 9783642364600
SP  - 295
TI  - Random Walks on Stochastic Temporal Networks
T1  - Temporal Networks
ER  -
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