data-adaptive harmonic modes 1early warning signals 1extreme value theory 1spectral analysis 1tipping points 1
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math.DS2025
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…
math.DS2024
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…