A local limit theorem for a sequence of interval transformations

DOI10.1017/S0143385700002856zbMath0553.60026OpenAlexW2103531208MaRDI QIDQ3347023

D. Capocaccia, Paola Calderoni, Massimo Campanino

Publication date: 1985

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700002856

zbMATH Keywords

local limit theoremautomorphism of the two dimensional toruseigenvalue of an automorphismexistence of a Markov partition

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items

Classical and almost sure local limit theorems ⋮ The central limit theorem for Riesz-Raikov sums

Cites Work

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• Some metrical theorems in number theory. II. - Errata
• A Local Limit Theorem for the Distribution of Fractional Parts of an Exponential Function
• The Central Limit Theorem for Sums of Functions of Independent Variables and Sums of the Form $\sum {f(2^k t)} $
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms