On weak convergence of sampled dynamical systems.

DOI10.5802/AIF.2016zbMath1070.60023OpenAlexW2468898728MaRDI QIDQ1890153

Nadine Guillotin-Plantard

Publication date: 20 December 2004

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2004__54_1_211_0

zbMATH Keywords

fractional Brownian motionirrational rotation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Measure-preserving transformations (28D05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Cites Work

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• On central limit theorems, modulus of continuity and Diophantine type for irrational rotations
• Random ergodic theorems with universally representative sequences
• Sur la convergence faible de systèmes dynamiques échantillonnés
• On the Central Limit Theorem for Dynamical Systems
• Invariance principles and Gaussian approximation for strictly stationary processes

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