# Random Walks on Stochastic Temporal Networks

@article{Hoffmann2013RandomWO, title={Random Walks on Stochastic Temporal Networks}, author={Till Hoffmann and Mason A. Porter and Renaud Lambiotte}, journal={ArXiv}, year={2013}, volume={abs/1306.0715} }

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…

## 28 Citations

Random walk centrality for temporal networks

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A centrality measure for temporal networks based on random walks under periodic boundary conditions that is called TempoRank, which is applied to human interaction networks and shows that although it is important for a node to be connected to another node with many random walkers at the right moment, this effect is negligible in practice when the time order of link activation is included.

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The slowing-down effect due to the competition on a multiplex network with heterogeneous layers activity as the walker is likely to be trapped for a longer time either on a single layer, or on an oriented cycle is numerically shown.

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- Computer ScienceArXiv
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The slowing-down effect due to the competition on a heterogeneous multilayer as the walker is likely to be trapped for a longer time either on a single layer, or on an oriented cycle.

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- Computer ScienceNature communications
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This work introduces a methodology that allows to analytically predict causality-driven changes of diffusion speed in non-Markovian temporal networks and shows that compared with the time-aggregated network, non- Markovian characteristics can lead to both a slow-down or speed-up of diffusion.

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A novel framework for the study of path-based centralities in higher-order aggregate networks, a recently proposed generalization of the commonly used static representation of time-stamped data is introduced.

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