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Large deviation and central limit theorems for sequential and random Lasota–Yorke convex maps

Hongfei Cui, Jiaxiang Sui 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.

Authors

  • Hongfei CuiCollege of Science
    Hubei Province Key Laboratory of Systems Science in Metallurgical Processes
    Wuhan University of Science and Technology
    Wuhan 430065, P. R. China
    e-mail
  • Jiaxiang SuiWuhan Institute of Physics and Mathematics
    Innovation Academy for Precision Measurement Science and Technology
    Chinese Academy of Sciences
    Wuhan 430071, P. R. China
    e-mail

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