Random entropy and recurrence.
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Dajani, Karma, Meester, Ronald (2003)
International Journal of Mathematics and Mathematical Sciences
Sarah Bailey Frick, Karl Petersen (2008)
Annales de l'I.H.P. Probabilités et statistiques
There is only one fully supported ergodic invariant probability measure for the adic transformation on the space of infinite paths in the graph that underlies the eulerian numbers. This result may partially justify a frequent assumption about the equidistribution of random permutations.
Michael Benedicks, Marcelo Viana (2006)
Annales de l'I.H.P. Analyse non linéaire
J.-P. Thouvenot (2009)
Fundamenta Mathematicae
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.
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