Counter-example to the functional central limit theorem for real random fields

DOI10.1016/S0246-0203(02)00011-0zbMath1014.60055OpenAlexW2130435153MaRDI QIDQ1868124

Mohamed El Machkouri, Dalibor Volný

Publication date: 27 April 2003

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2003__39_2_325_0

zbMATH Keywords

functional central limit theoreminvariance principleergodic dynamical systemmetric entropypositive entropyentropy condition with inclusionstationary martingale-difference random field

Mathematics Subject Classification ID

Random fields (60G60) Functional limit theorems; invariance principles (60F17)

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