On Constructing Chaotic Maps with a Prescribed Probability Distribution
Peter M. Uhl, Hannah Bohn, Noah H. Rhee · Missouri Journal of Mathematical Sciences · 2018
In this paper we discuss how to construct piecewise linear chaotic maps with a prescribed probability distribution on a finite number of open intervals of equal length that form a partition of the unit interval. The idea and method of how to find such a map are given in [3]. But a formal proof is not given. In this paper we provide a formal proof.