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cond-mat.stat-mech2025
Non-Normal Eigenvector Amplification in Multi-Dimensional Kesten Processes
Virgile Troude, Didier Sornette
Heavy-tailed fluctuations and power law statistics pervade physics, finance, and economics, yet their origin is often ascribed to systems poised near criticality. Here we show that…
cond-mat.stat-mech2025
Phase Transitions Without Instability: A Universal Mechanism from Non-Normal Dynamics
Virgile Troude, Didier Sornette
We identify a new universality class of phase transitions that arises in non-normal systems, challenging the classical view that transitions require eigenvalue instabilities. In tr…
cond-mat.stat-mech2025
Non-Normal Phase Transitions: A New Universality in Complex Systems
Virgile Troude, Didier Sornette
We identify a new universality class of phase transitions that emerges in non-normal systems, extending the classical framework beyond eigenvalue instabilities. Unlike traditional…