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Rotation intervals for a class of maps of the real line into itself

Published online by Cambridge University Press:  19 September 2008

Michał Misiurewicz
Michał Misiurewicz
Affiliation:
Institute of Mathematics, Warsaw University, PKiN IX p., 00-901 Warszawa, Poland
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Abstract

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We study a class of maps of the real line into itself which are degree one liftings of maps of the circle and have discontinuities only of a special type. This class contains liftings of continuous degree one maps of the circle, lifting of increasing mod 1 maps and some maps arising from Newton's method of solving equations. We generalize some results known for the continuous case.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 1 , March 1986 , pp. 117 - 132
Copyright
Copyright © Cambridge University Press 1986

References

REFERENCES

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