$(\omega_1, \omega_2)$-temporal random hyperbolic graphs
<|reference_start|>$(\omega_1, \omega_2)$-temporal random hyperbolic graphs: We extend a recent model of temporal random hyperbolic graphs by allowing connections and disconnections to persist across network snapshots with different probabilities, $\omega_1$ and $\omega_2$. This extension, while conceptually simple, poses analytical challenges involving the Appell $F_1$ series. Despite these challenges, we are able to analyze key properties of the model, which include the distributions of contact and intercontact durations, as well as the expected time-aggregated degree. The incorporation of $\omega_1$ and $\omega_2$ enables more flexible tuning of the average contact and intercontact durations, and of the average time-aggregated degree, providing a finer control for exploring the effect of temporal network dynamics on dynamical processes. Overall, our results provide new insights into the analysis of temporal networks and contribute to a more general representation of real-world scenarios.<|reference_end|>
@article{zambirinis2024$(\omega_1,,
    title={$(\omega_1, \omega_2)$-temporal random hyperbolic graphs},
    author={Sofoclis Zambirinis, Fragkiskos Papadopoulos},
    journal={Phys. Rev. E 110, 024309 (2024)},
    year={2024},
    doi={10.1103/PhysRevE.110.024309},
    archivePrefix={arXiv},
    eprint={2403.17440},
    primaryClass={physics.soc-ph cond-mat.stat-mech cs.SI}
}