ON THE SPECTRA OF RANDOMLY PERTURBED EXPANDING MAPS

Authors
BALADI V YOUNG LS
Citation
V. Baladi et Ls. Young, ON THE SPECTRA OF RANDOMLY PERTURBED EXPANDING MAPS, Communications in Mathematical Physics, 156(2), 1993, pp. 355-385
Citations number
26
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
156
Issue
2
Year of publication
1993
Pages
355 - 385
Database
ISI
SICI code
0010-3616(1993)156:2<355:OTSORP>2.0.ZU;2-T
Abstract
We consider small random perturbations of expanding and piecewise expa nding maps and prove the robustness of their invariant densities and r ates of mixing. We do this by proving the robustness of the spectra of their Perron-Frobenius operators.