Relative spectral theory and measure-theoretic entropy of gaussian extensions

J.-P. Thouvenot

Fundamenta Mathematicae (2009)

  • Volume: 206, Issue: 1, page 287-298
  • ISSN: 0016-2736

Abstract

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We describe the natural framework in which the relative spectral theory is developed. We give some results and indicate how they relate to two open problems in ergodic theory. We also compute the relative entropy of gaussian extensions of ergodic transformations.

How to cite

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J.-P. Thouvenot. "Relative spectral theory and measure-theoretic entropy of gaussian extensions." Fundamenta Mathematicae 206.1 (2009): 287-298. <http://eudml.org/doc/283284>.

@article{J2009,
abstract = {We describe the natural framework in which the relative spectral theory is developed. We give some results and indicate how they relate to two open problems in ergodic theory. We also compute the relative entropy of gaussian extensions of ergodic transformations.},
author = {J.-P. Thouvenot},
journal = {Fundamenta Mathematicae},
keywords = {joining; entropy; Bernoulli factor; Rokhlin cocycle; Hilbert bundle; -automorphism; discrete spectrum},
language = {eng},
number = {1},
pages = {287-298},
title = {Relative spectral theory and measure-theoretic entropy of gaussian extensions},
url = {http://eudml.org/doc/283284},
volume = {206},
year = {2009},
}

TY - JOUR
AU - J.-P. Thouvenot
TI - Relative spectral theory and measure-theoretic entropy of gaussian extensions
JO - Fundamenta Mathematicae
PY - 2009
VL - 206
IS - 1
SP - 287
EP - 298
AB - We describe the natural framework in which the relative spectral theory is developed. We give some results and indicate how they relate to two open problems in ergodic theory. We also compute the relative entropy of gaussian extensions of ergodic transformations.
LA - eng
KW - joining; entropy; Bernoulli factor; Rokhlin cocycle; Hilbert bundle; -automorphism; discrete spectrum
UR - http://eudml.org/doc/283284
ER -

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