Relative spectral theory and measure-theoretic entropy of gaussian extensions

• Autorzy: J.-P. Thouvenot
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A50: Relations with probability theory and stochastic processes
• 37A30: Ergodic theorems, spectral theory, Markov operators
• 37A05: Measure-preserving transformations
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 206
• Numer: 1
• Strony: 287-298

Daty

wydano

2009

Twórcy

autor

J.-P. Thouvenot

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

Identyfikatory

DOI

10.4064/fm206-0-17