Abstract
For a class of piecewise convex maps f on the interval , we show that f has a unique absolutely continuous invariant probability measure μ with exponential decay of correlations, and we also present the explicit upper bounds on the rate. Moreover, we show the exponential loss of memory for a sequential dynamical system consisting of piecewise convex maps.
Acknowledgments
The author is very grateful to the referee for thorough reading and helpful comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).