224 citations · 694 across the 41 of their papers we have counts for
45 papers
A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades
Mickaël D. Chekroun, James C. McWilliams
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 dyn…
Ruelle--Pollicott Theory for Metastable Systems: A Unified Framework for Tipping Transitions
Mickaël D. Chekroun, Valerio Lucarini
Tipping points---abrupt, potentially irreversible reorganizations of a system's statistical state---are commonly anticipated through critical slowing down: recovery slows, autocorr…
Beyond Critical Slowing Down: Slow Modes, Extreme Tails, and Field Decoherence in Tipping Transitions
Mickaël D. Chekroun, Valerio Lucarini
Tipping transitions are abrupt reorganizations between statistical regimes, usually anticipated through critical slowing down: recovery slows, autocorrelation and variance rise, an…
Kolmogorov Modes and Linear Response of Jump-Diffusion Models
Mickaël D. Chekroun, Niccolò Zagli, Valerio Lucarini
We present a generalized linear response theory for mixed jump-diffusion models -- combining Gaussian and Lévy noise interacting with nonlinear dynamics -- by deriving comprehensiv…
Non-Markovian Reduced Models to Unravel Transitions in Non-equilibrium Systems
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams
This work proposes a general framework for capturing noise-driven transitions in spatially extended non-equilibrium systems and explains the emergence of coherent patterns beyond t…
The Optimal Growth Mode in the Relaxation to Statistical Equilibrium
Manuel Santos Gutiérrez, Mickaël D. Chekroun
Systems far from equilibrium approach stability slowly due to "anti-mixing" characterized by regions of the phase-space that remain disconnected after prolonged action of the flow.…