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Perturbations and transitivity for certain maps of an interval

Published online by Cambridge University Press:  19 September 2008

MichaŁ Misiurewicz
MichaŁ Misiurewicz
Affiliation:
Institute of Mathematics, Warsaw UniversityPKiN IX p.00-901, Warsaw, Poland
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Abstract

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We consider perturbations of certain transitive maps of an interval into itself and estimate how far from the transitivity the perturbed maps are. The distance turns out not to be of greater order than the square of the size of the perturbation.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 2 , June 1982 , pp. 229 - 240
Copyright
Copyright © Cambridge University Press 1982

References

REFERENCES

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