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R. Lambiotte

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Open access Jul 2026

Temporal self-similarity reveals percolation universality classes in complex networks

Catastrophic fragmentation and structural transitions are ubiquitous in real-world complex systems, yet their underlying universality classes remain largely elusive due to strong structural heterogeneity and the absence of well-defined critical thresholds. Here, we discover a robust phenomenon of temporal self-similari...

Sheng Fang, Jun Meng, Qing Lin et al. · 0 citations
Preprint Aug 2026

The impact of the path ensemble on path percolation

A generalised path-percolation framework is introduced where paths are drawn from a temperature-controlled routing ensemble interpolating between geodesic and noisy transport, clarifying how microscopic routing organisation shapes macroscopic resilience, and identifying path elongation as a measurable precursor of fail...

Yunhao Ding, Andreas Münch, R. Lambiotte · 0 citations
Open access Jun 2026

Unifying network connectivity from geodesics to random walks via the random cluster model

A unified statistical physics framework based on the random cluster model is introduced that encompasses classical notions of connectivity and defines a continuous family of new connectivity measures, offering a powerful tool to analyze structure and dynamics in complex networks.

Xiangyi Meng, Chenxuguang Zhu, Nicola Pedreschi et al. · 0 citations

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