1 citations · 1 across the 11 of their papers we have counts for
6 papers · 1 filter
Life as Non-Normal Chemical Accelerator
Didier Sornette, Virgile Troude
Life is commonly described as a self-organized, far-from-equilibrium process that maintains internal order by consuming free energy and exporting entropy. This thermodynamic view u…
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…
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…
Eigenvector Geometry as a New Route to Criticality in Random Multiplicative Systems
Virgile Troude, Didier Sornette
Heavy-tailed fluctuations and power law distributions pervade physics, biology, and the social sciences, with numerous mechanisms proposed for their emergence. Kesten processes, wh…
Unifying Framework for Amplification Mechanisms: Criticality, Resonance and Non-Normality
Virgile Troude, Didier Sornette
We bring together three key amplification mechanisms in linear dynamical systems: spectral criticality, resonance, and non-normality. We present a unified linear framework that bot…
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…