Complementability and Maximality in Different Contexts: Ergodic Theory, Brownian and Poly-Adic Filtrations

DOI10.1007/978-3-030-28535-7_6zbMath1452.60042arXiv1802.03757OpenAlexW2786469846MaRDI QIDQ5126524

Christophe Leuridan

Publication date: 20 October 2020

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03757

zbMATH Keywords

entropymaximalityfactorsexchange propertycomplementabilityimmersed filtrationsautomorphisms of Lebesgue spacesBrownian filtrationsfiltrations indexed by the non-positive integerspoly-adic filtrations

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Brownian motion (60J65)

Cites Work

• Maximal Brownian motions
• Factors of Bernoulli shifts
• Une classe de systèmes pour lesquels la conjecture de Pinsker est vraie
• Processes with no standard extension
• Finitely determined implies very weak Bernoulli
• Poly-adic filtrations, standardness, complementability and maximality
• Filtrations at the threshold of standardness
• On certain almost Brownian filtrations
• Factors of Bernoulli shifts are Bernoulli shifts
• On Standardness and I-cosiness
• Skew-Product Decomposition of Planar Brownian Motion and Complementability
• Filtrations of the Erased-Word Processes
• Convolution of invariant measures, maximal entropy
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