Stochastic stability of Pollicott–Ruelle resonances
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1407.8531.pdf
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4.11 MB
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Author(s)
Zworski, Maciej
Dyatlov, Semen
Date Issued
September 2015
Journal
Nonlinearity
Publisher
IOP Publishing
Citation
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
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1088/0951-7715/28/10/3511
