Eigenvector Localization and Universal Regime Transitions in Multiplex Networks: A Perturbative Approach
Abstract
In this work, we investigate the transition between layer-localized and delocalized regimes in a general contact-based social contagion model on multiplex networks. We begin by analyzing the layer-localization to delocalization transition through the inverse participation ratio (IPR). Utilizing perturbation analysis, we derive a new analytical approximation for the transition point and an expression for the IPR in the non-dominant layer within the localized regime. Additionally, we examine the transition from a non-dominant to a dominant regime, providing an analytical expression for the transition point. These transitions are further explored and validated through dynamical simulations.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.04784
- arXiv:
- arXiv:2408.04784
- Bibcode:
- 2024arXiv240804784H
- Keywords:
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- Physics - Physics and Society;
- Condensed Matter - Other Condensed Matter