LIMIT THEOREMS FOR SAMPLED DYNAMICAL SYSTEMS

DOI10.1142/S0219493703000863zbMath1040.60018OpenAlexW1996429303MaRDI QIDQ4467391

Dominique Schneider, Nadine Guillotin-Plantard

Publication date: 9 June 2004

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493703000863

zbMATH Keywords

dynamical systemsrandom walksfractional Brownian motionalmost sure convergenceergodic averagescentral limit theoremsrandom sceneryspectral theorem

Mathematics Subject Classification ID

Gaussian processes (60G15) Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Measure-preserving transformations (28D05)

Related Items (1)

Central limit theorem for sampled sums of dependent random variables

Cites Work

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• On central limit theorems, modulus of continuity and Diophantine type for irrational rotations
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• Sur la convergence faible de systèmes dynamiques échantillonnés
• A limit theorem related to a new class of self similar processes
• Invariance principles and Gaussian approximation for strictly stationary processes
• Martingale Central Limit Theorems

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