A pseudospectral, computer-assisted framework yields certified enclosures and exclosures of Ruelle-Pollicott resonances for analytic expanding circle maps, demonstrated on a Blaschke benchmark and a perturbed doubling map.
Anosov flows and dynamical zeta functions.Ann
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A pseudospectral approach to rigorous numerical estimation of resonances of transfer operators
A pseudospectral, computer-assisted framework yields certified enclosures and exclosures of Ruelle-Pollicott resonances for analytic expanding circle maps, demonstrated on a Blaschke benchmark and a perturbed doubling map.