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Properties of invariant measures for piecewise expanding one-dimensional transformations with summable oscillations of derivative

Published online by Cambridge University Press:  19 September 2008

Pawel Góra
Pawel Góra
Affiliation:
Department of Mathematics, Concordia University, 7141 Sherbrooke St. W, Montreal, CanadaH4B 1R6
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Abstract

We study the properties of absolutely continuous invariant measures for one-dimensional transformations satisfying Schmitt's condition. We prove existence, constrictiveness of the induced Perron-Frobenius operator, openness of supports, estimate on a number of ergodic components, exponential decay of correlation, Bernoulli property, etc.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 3 , September 1994 , pp. 475 - 492
Copyright
Copyright © Cambridge University Press 1994

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References

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