Invariant densities for random maps of the interval

Author:

Pelikan S.

Abstract

A random map is a discrete time process in which one of a number of functions is selected at random and applied. Here we study random maps of [ 0 , 1 ] [0,1] which represent dynamical systems on the square [ 0 , 1 ] × [ 0 , 1 ] [0,1] \times [0,1] . Sufficient conditions for a random map to have an absolutely continuous invariant measure are given, and the number of ergodic components of a random map is discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

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