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Uniqueness of Invariant Densities for Certain Random Maps of The Interval

Published online by Cambridge University Press:  20 November 2018

Abraham Boyarsky
Abraham Boyarsky*
Affiliation:
Department of Mathematics, Loyola Campus, Concordia University, Montreal, Canada H4B 1R6
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Abstract

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A random map is a discrete time process in which one of a number of maps, 𝓜, is chosen at random at each stage and applied. In this note we study a random map, where 𝓜 is a set of piecewise linear Markov maps on [0, 1]. Sufficient conditions are presented which allow the determination of the unique absolutely continuous invariant measure of the process.

Keywords

28D9960G99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 3 , 01 September 1987 , pp. 301 - 308
Copyright
Copyright © Canadian Mathematical Society 1987

References

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