Iterates of expanding maps
Let \(h:I=[0,1]\to I\) be a piecewise monotone, \(C^1\) and uniformly expanding map. The authors are mainly interested in the iterates of \(h\). They show that the sequence of iterates can be closely tied to an \(m\)-dependent process. This provides good bounds on the accuracy of Gaussian approximations. To this end the authors use coupling and Stein's method.
scientific article; zbMATH DE number 1439652