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September 28, 2025Open Access

Spectral fluctuations and crossovers in multilayer network

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Authors

HSHimanshu ShekharADAshutosh DheerSKSantosh Kumar

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Overview

This analysis finds spectral fluctuations across multilayer networks, indicating robust topological characteristics of real networks.

Key Points

  • Spectral fluctuations reveal universal properties in multilayer networks, despite varying configurations and connections.
  • Analysis of eigenvalue spectra shows smooth transitions from block-diagonal to single-layer statistics as connection strengths vary.
  • Utilizing a crossover model, spectral properties transition from two independent Gaussian Orthogonal Ensembles to one.
  • Random matrix theory is affirmed as an effective tool for exploring the complexities of real-world networks.

Cite This Study

Shekhar et al. (2025) studied this question.

synapsesocial.com/papers/68d913b24ddcf71ba560c07chttps://doi.org/10.48550/arxiv.2508.12913
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