Relative spectral theory and measure-theoretic entropy of gaussian extensions

Volume 206 / 2009

J.-P. Thouvenot Fundamenta Mathematicae 206 (2009), 287-298 MSC: 37A05, 37A35, 37A50, 37A30. DOI: 10.4064/fm206-0-17


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.


  • J.-P. ThouvenotL. P. M. A.
    Boîte courrier 188
    4, Place Jussieu
    75252 Paris Cedex 05, France

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