Mixing with staircase multiplicity functions

DOI10.1017/S0143385707001058zbMath1152.37003OpenAlexW2002704341MaRDI QIDQ3548611

O. N. Ageev

Publication date: 16 December 2008

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385707001058

zbMATH Keywords

spectral invariantsmeasure-preserving transformationsnatural factorspectral multiplicity function

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25)

Related Items (7)

New spectral multiplicities for mixing transformations ⋮ Spectral multiplicities of infinite measure preserving transformations ⋮ Homogeneous spectrum and mixing transformations ⋮ Mixing constructions with infinite invariant measure and spectral multiplicities ⋮ A survey on spectral multiplicities of ergodic actions ⋮ Mixing on stochastic staircase tansformations ⋮ Joining primeness and disjointness from infinitely divisible systems

Cites Work

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• Joinings and multiple mixing of finite rank actions
• The homogeneous spectrum problem in ergodic theory
• Transformations having homogeneous spectra
• On ergodic transformations with homogeneous spectrum
• A survey of recent results in the spectral theory of ergodic dynamical systems
• Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructions
• Smorodinsky’s conjecture on rank-one mixing
• The Construction of Decimals Normal in the Scale of Ten
• A Class of Ergodic Transformations Having Simple Spectrum

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