Spectral properties of ergodic dynamical systems conjugate to their composition squares

Geoffrey R. Goodson. "Spectral properties of ergodic dynamical systems conjugate to their composition squares." Colloquium Mathematicae 107.1 (2007): 99-118. <http://eudml.org/doc/284261>.

@article{GeoffreyR2007,
abstract = {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.},
author = {Geoffrey R. Goodson},
journal = {Colloquium Mathematicae},
keywords = {ergodic automorphism; spectral measure; simple spectrum},
language = {eng},
number = {1},
pages = {99-118},
title = {Spectral properties of ergodic dynamical systems conjugate to their composition squares},
url = {http://eudml.org/doc/284261},
volume = {107},
year = {2007},
}

TY - JOUR
AU - Geoffrey R. Goodson
TI - Spectral properties of ergodic dynamical systems conjugate to their composition squares
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 1
SP - 99
EP - 118
AB - 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.
LA - eng
KW - ergodic automorphism; spectral measure; simple spectrum
UR - http://eudml.org/doc/284261
ER -