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20222026
most citedIllusions of Criticality: Crises Without Tipping Points

1 citations · 2 across the 17 of their papers we have counts for

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physics.bio-ph2025

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…

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…

nlin.CD2025

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…

cs.LG2025

Sensor optimization for urban wind estimation with cluster-based probabilistic framework

Yutong Liang, Chang Hou, Guy Y. Cornejo Maceda +8

We propose a physics-informed machine-learned framework for sensor-based flow estimation for drone trajectories in complex urban terrain. The input is a rich set of flow simulation…

nlin.CD2025

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…

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…