Stochastic stability of Pollicott–Ruelle resonances
Author(s)Zworski, Maciej; Dyatlov, Semen
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Pollicott-Ruelle resonances for chaotic flows are the characteristic frequencies of correlations. They are typically defined as eigenvalues of the generator of the flow acting on specially designed functional spaces. We show that these resonances can be computed as viscosity limits of eigenvalues of second order elliptic operators. These eigenvalues are the characteristic frequencies of correlations for a stochastically perturbed flow.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Dyatlov, Semyon and Maciej Zworski. “Stochastic Stability of Pollicott–Ruelle Resonances.” Nonlinearity 28, 10 (September 2015): 3511–3533 © 2015 IOP Publishing Ltd & London Mathematical Society
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