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Another proof of Jakobson's Theorem and related results

Published online by Cambridge University Press:  19 September 2008

Marek Ryszard Rychlik
Marek Ryszard Rychlik
Affiliation:
University of Washington, Department of Mathematics, GN-50, Seattle, Washington 98195USA and Institute of Mathematics, University of Warsaw, Poland
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Abstract

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The author shows that any family C2-close to fα(x) = 1 − αx2(2 − ε ≤ α ≤ 2) satisfies Jakobson's theorem: For a positive measure set of α the transformation fα has an absolutely continuous invariant measure. He also indicates some generalizations.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Issue 1 , March 1988 , pp. 93 - 109
Copyright
Copyright © Cambridge University Press 1988

References

REFERENCES

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