On the maximal spectral type of a class of rank one transformations

DOI10.1080/14689367.2012.725160zbMath1263.37010OpenAlexW1973952054MaRDI QIDQ4648281

Christoph Aistleitner, Markus Hofer

Publication date: 8 November 2012

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2012.725160

zbMATH Keywords

exponential sumsmartingale approximationmaximal spectral typerank-one transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (3)

A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages ⋮ On a problem of Bourgain concerning the \(L^1\)-norm of exponential sums ⋮ Mixing on stochastic staircase tansformations

Cites Work

• On the central limit theorem for \(f(n_{k}x)\)
• A new class of Ornstein transformations with singular spectrum
• Concentration inequalities and limit theorems for randomized sums
• Mixing of all orders and pairwise independent joinings of systems with singular spectrum
• On the spectral type of Ornstein's class one transformations
• Rank one transformations with singular spectral type
• The spectral type of the staircase transformation
• On the law of the iterated logarithm for the discrepancy of lacunary sequences
• A central limit theorem for trigonometric series with small gaps
• The Maximal Spectral Type of a Rank One Transformation
• A new class of rank-one transformations with singular spectrum
• On Lacunary Trigonometric Series

This page was built for publication: On the maximal spectral type of a class of rank one transformations