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

Chekroun, Mickaël D. et al.
arXiv (OAI Expanded) · Papers
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60f10atmospheric-and-oceanic-physicsmathematical-physicsprobabilityspectral-theory
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
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