Strong stochastic stability and rate of mixing for unimodal mapsViviane

@inproceedings{VianaDecember1994StrongSS,
  title={Strong stochastic stability and rate of mixing for unimodal mapsViviane},
  author={Marcelo VianaDecember},
  year={1994}
}
  • Marcelo VianaDecember
  • Published 1994
We consider small random perturbations of a large class of nonuniformly hyperbolic unimodal maps and prove stochastic stability in the strong sense (L -convergence of invariant densities) and uniform bounds for the exponential rate of decay of correlations. Our method is based on an analysis of the spectrum of a modified Perron-Frobenius operator for a tower extension of the Markov chain. 
Highly Cited
This paper has 35 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 21 references

On the spectra of randomly perturbed expanding maps , ( see alsoErratum , to appear

L.-S. Young
Comm . Math . Phys . ) , Comm . Math . Phys . • 1993

SBR - measures for certain H  enon maps

L.-S. Young
Invent . Math . • 1993

SBR-measures for certain Henon maps (Invent

M. BENEDICKS, L.-S. YOUNG
Math., Vol. 112, • 1993

Absolutely continuous invariant measures and random perturbations for certain one - dimensional maps

L.-S. Young
Ergodic Theory Dynamical Systems • 1992

Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps (Ergodic Theory

M. BENEDICKS, L.-S. YOUNG
Dynamical Systems, • 1992

Decay of correlations for certain quadratic maps {Comm

L.-S. YOUNG
Math. Phys., • 1992

Spectral theory , zeta functions and the distribution of periodic pointsfor ColletEckmann maps

Y. Kifer
Comm . Math . Phys . • 1992

CARLESON, The dynamics of the Henon map

L. BC M. BENEDICKS
(Ann. of Math., 2, • 1991

LYUBICH, Measurable dynamics ofS-unimodal maps of the interval (Ann

A. M. BLOKH, M. Yu
Scient. Ecole Norm. Sup., • 1991

The dynamics of the H  enon map

L. Carleson
Ann . of Math . • 1991

Similar Papers

Loading similar papers…