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math.DS2019★ 31 cited
Ruelle-Pollicott Resonances of Stochastic Systems in Reduced State Space. Part I: Theory
Mickaël Chekroun, Alexis Tantet, Henk Anton Dijkstra +1
A theory of Ruelle-Pollicott (RP) resonances for stochastic differential systems is presented. These resonances are defined as the eigenvalues of the generator (Kolmogorov operator…
math.DS2019
Ruelle-Pollicott Resonances of Stochastic Systems in Reduced State Space. Part III: Application to the Cane-Zebiak model of the El Ni{ñ}o-Southern Oscillation
Alexis Tantet, Mickaël Chekroun, J. David Neelin +1
The response of a low-frequency mode of climate variability, El Ni{ñ}o-Southern Oscillation, to stochastic forcing is studied in a high-dimensional model of intermediate complexity…