Decay of correlations and memory loss for Lasota–Yorke convex maps. Issue 3 (3rd July 2021)

• Record Type: Journal Article
• Authors: Cui, Hongfei
• Is Part Of: Dynamical systems. Volume 36:Issue 3(2021)
• Page Start: 404
• Page End: 415
• Publication Date: 2021-07-03
• Subjects: Lasota–Yorke convex -- memory loss -- decay of correlations; 37E05 -- 37C40; Differentiable dynamical systems -- Periodicals; 515.35205
• DOI: 10.1080/14689367.2021.1924622
• Languages: English
• ISSNs: 1468-9367

Abstract

Abstract : For a class of piecewise convex maps f on the interval [ 0, 1 ], 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.