Entropy of a doubly stochastic Markov operator and of its shift on the space of trajectories
Paulina Frej
Colloquium Mathematicae, Tome 126 (2012), p. 205-216 / Harvested from The Polish Digital Mathematics Library
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We define the space of trajectories of a doubly stochastic operator on L¹(X,μ) as a shift space (Xℕ,ν,σ), where ν is a probability measure defined as in the Ionescu-Tulcea theorem and σ is the shift transformation. We study connections between the entropy of a doubly stochastic operator and the entropy of the shift on the space of trajectories of this operator.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:283700 
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Paulina Frej. Entropy of a doubly stochastic Markov operator and of its shift on the space of trajectories. Colloquium Mathematicae, Tome 126 (2012) pp. 205-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm126-2-5/