Entropy of a doubly stochastic Markov operator and of its shift on the space of trajectories

Paulina Frej. "Entropy of a doubly stochastic Markov operator and of its shift on the space of trajectories." Colloquium Mathematicae 126.2 (2012): 205-216. <http://eudml.org/doc/283700>.

@article{PaulinaFrej2012,
abstract = {We define the space of trajectories of a doubly stochastic operator on L¹(X,μ) as a shift space $(X^\{ℕ\},ν,σ)$, 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.},
author = {Paulina Frej},
journal = {Colloquium Mathematicae},
keywords = {doubly stochastic operator; entropy; shift space; Ionescu-Tulcea theorem},
language = {eng},
number = {2},
pages = {205-216},
title = {Entropy of a doubly stochastic Markov operator and of its shift on the space of trajectories},
url = {http://eudml.org/doc/283700},
volume = {126},
year = {2012},
}

TY - JOUR
AU - Paulina Frej
TI - Entropy of a doubly stochastic Markov operator and of its shift on the space of trajectories
JO - Colloquium Mathematicae
PY - 2012
VL - 126
IS - 2
SP - 205
EP - 216
AB - We define the space of trajectories of a doubly stochastic operator on L¹(X,μ) as a shift space $(X^{ℕ},ν,σ)$, 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.
LA - eng
KW - doubly stochastic operator; entropy; shift space; Ionescu-Tulcea theorem
UR - http://eudml.org/doc/283700
ER -