Spectral properties of ergodic dynamical systems conjugate to their composition squares

• Autorzy: Geoffrey R. Goodson
• Języki publikacji: EN

Abstrakty

EN

Let S and T be automorphisms of a standard Borel probability space. Some ergodic and spectral consequences of the equation ST = T²S are given for T ergodic and also when Tⁿ = I for some n>2. These ideas are used to construct examples of ergodic automorphisms S with oscillating maximal spectral multiplicity function. Other examples illustrating the theory are given, including Gaussian automorphisms having simple spectra and conjugate to their squares.

Kategorie tematyczne

• 37A05: Measure-preserving transformations
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 107
• Numer: 1
• Strony: 99-118

Daty

wydano

2007

Twórcy

autor

Geoffrey R. Goodson

• Department of Mathematics, Towson University, Towson, MD 21252, U.S.A.

Identyfikatory

DOI

10.4064/cm107-1-10