On calculation of the exact Lyapunov exponent of affine Boole transformations

DOI10.1080/14689367.2023.2170213zbMath1523.37004arXiv2204.00277OpenAlexW4319793847MaRDI QIDQ6162834

Mátyás Barczy

Publication date: 26 June 2023

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.00277

zbMATH Keywords

Newton methodLyapunov exponentdiscrete dynamical systemCauchy distributionBoole transformation

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems in numerical analysis (37N30)

Cites Work

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• An ergodic value distribution of certain meromorphic functions
• Lyapunov exponents and sensitive dependence
• Invariant measures for a class of rational transformations and ergodic properties
• A note on invariance of the Cauchy and related distributions
• Probability
• Lyapunov Exponents
• Exact Lyapunov exponents of the generalized Boole transformations
• Cauchy-Distributed Functions of Cauchy Variates
• Ergodic Theory
• Probability theory

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