On one 2-valued transformation: Its invariant measure and application to masked dynamical systems

Abstract

© 2014 P. I. Troshin. We consider one family S of 2-valued transformations on the interval [0, 1] with measure , endowed with a set of weight functions. We construct invariant measure S = for this multivalued dynamical system with weights and show the interplay between such systems and masked dynamical systems, which leads to image processing.