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Uniqueness of Invariant Densities for Certain Random Maps of The Interval
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1987
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