We consider one family of 2-valued transformations on the interval [0, 1] with measure , endowed with a set of weight functions. We construct invariant measure for this multivalued dynamical system with weights and show the interplay between such systems and masked dynamical systems, which leads to image processing.
P. I. Troshin. "On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical Systems." Abstr. Appl. Anal. 2014 1 - 14, 2014. https://doi.org/10.1155/2014/513061