On the spectra of randomly perturbed expanding maps

V. Baladi; L. S. Young

doi:10.1007/BF02098487

On the spectra of randomly perturbed expanding maps

V. Baladi, L. S. Young

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	355-385
Number of pages	31
Journal	Communications In Mathematical Physics
Volume	156
Issue number	2
DOIs	https://doi.org/10.1007/BF02098487
State	Published - Sep 1993

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02098487

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title = "On the spectra of randomly perturbed expanding maps",

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.",

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On the spectra of randomly perturbed expanding maps

Abstract

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