From the 1 of 7 linked papers with an AI index.
7 papers
A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades
Mickaël D. Chekroun, James C. McWilliams
Subgrid-scale parameterization of 2D turbulence must preserve the geometry enabling the dual cascade. Classical and data-driven closures often lack the symmetries required for onli…
Beyond Critical Slowing Down: Slow Modes, Extreme Tails, and Field Decoherence in Tipping Transitions
Mickaël D. Chekroun, Valerio Lucarini
The paper investigates early‑warning signals of climate tipping in a stochastic energy‑balance model by combining spectral analysis of reduced Ruelle‑Pollicott resonances, extreme‑…
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 comprehensi…
A Girsanov approach to slow parameterizing manifolds in the presence of noise
Mickaël D. Chekroun, Jeroen S. W. Lamb, Christian J. Pangerl +1
This work investigates a three-dimensional slow-fast stochastic system with quadratic nonlinearity and additive noise, inspired by fluid dynamics. The deterministic counterpart exh…
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…
Gibbs states and Brownian models for coexisting haze and cloud droplets
Manuel Santos Gutiérrez, Mickaël David Chekroun, Ilan Koren
Cloud microphysics studies include how tiny cloud droplets grow, and become rain. This is crucial for understanding cloud properties like size, lifespan, and impact on climate thro…