On the spectra of randomly perturbed expanding maps |
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| Authors: | V. Baladi L. -S. Young |
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| Affiliation: | (1) UMR 128, UMPA, ENS Lyon, 46, CNRS, Allée d'Italie, F-69364 Lyon Cedex, France;(2) Department of Mathematics, University of Arizona, 85721 Tucson, AZ, USA;(3) Department of Mathematics, UCLA, 90024 Los Angeles, CA, USA |
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| Abstract: | ![]()
We consider small random perturbations of expanding and piecewise expanding maps and prove the robustness of their invariant densities and rates of mixing. We do this by proving the robustness of the spectra of their Perron-Frobenius operators.V. Baladi started the present work during a postdoctoral fellowship at IBM, T.J. Watson CenterL.-S. Young is partially supported by the National Science Foundation |
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