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

Hongfei Cui; Jiaxiang Sui

doi:10.4064/fm240217-14-5

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

Volume 267 / 2024

Hongfei Cui, Jiaxiang Sui Fundamenta Mathematicae 267 (2024), 267-289 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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Publishing house / Journals and Serials / Fundamenta Mathematicae / All issues

Fundamenta Mathematicae

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

Volume 267 / 2024

Abstract

Authors

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