Directed Percolation in Random Temporal Network Models with Heterogeneities

@article{BadieModiri2021DirectedPI,
  title={Directed Percolation in Random Temporal Network Models with Heterogeneities},
  author={Arash Badie-Modiri and Abbas K. Rizi and M{\'a}rton Karsai and Mikko Kivel{\"a}},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.07698}
}
The event graph representation of temporal networks suggests that the connectivity of temporal structures can be mapped to a directed percolation problem. However, similar to percolation theory on static networks, this mapping is valid under the approximation that the structure and interaction dynamics of the temporal network are determined by its local properties, and otherwise, it is maximally random. We challenge these conditions and demonstrate the robustness of this mapping in case of more… 
1 Citations
Directed Percolation in Temporal Networks
TLDR
The map of the connectivity problem of temporal networks to directed percolation is mapped and it is shown that the reachability phase transition in random temporal network models, as induced by any limited-waiting-time process, appears with the mean-field exponents of directedPercolation.

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