The almost sure mutual singularity of the spectrum of Ornstein transformations

DOI10.1007/BF02773480zbMath0967.37004OpenAlexW2365567955MaRDI QIDQ1806718

El Houcein El Abdalaoui

Publication date: 21 August 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773480

zbMATH Keywords

singular spectrumsimple spectrummixing transformationsOrnstein rank one maps

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theory of linear operators (47A35)

Related Items (2)

On spectral disjointness of powers for rank-one transformations and Möbius orthogonality ⋮ Every ergodic transformation is disjoint from almost every interval exchange transformation

Cites Work

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• The spectral type of the staircase transformation
• Replication and Stacking in Ergodic Theory
• The Maximal Spectral Type of a Rank One Transformation
• A Family of Generalized Riesz Products

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