Large deviation and central limit theorems for sequential and random Lasota–Yorke convex maps
Fundamenta Mathematicae
MSC: Primary 37E05; Secondary 37H12
DOI: 10.4064/fm240217-14-5
Published online: 26 September 2024
Abstract
We obtain large deviation estimates and central limit theorems for a sequential dynamical system consisting of Lasota–Yorke convex maps. We also show an annealed large deviation and an annealed central limit theorem for random compositions of Lasota–Yorke convex maps.