Author

M. Chekroun

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Preprint Sep 2026

Ruelle--Pollicott Theory for Metastable Systems: A Unified Framework for Tipping Transitions

Tipping points---abrupt, potentially irreversible reorganizations of a system's statistical state---are commonly anticipated through critical slowing down: recovery slows, autocorrelation and variance rise, and spectra redden. This paradigm is powerful near simple equilibrium bifurcations but is not a general theory fo...

M. Chekroun, V. Lucarini · 1 citation

Preprint Aug 2026

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades

The equations of fluid motion are known; retaining their physics after removing most degrees of freedom remains a fundamental problem. Closure must preserve the geometry of the dynamics it replaces. We introduce Symplectic Geometric Closure (SGC), a prognostic stochastic field theory carrying Euler's Hamiltonian, area-...

M. Chekroun, J. C. McWilliams · 0 citations