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

• Autorzy: Paulina Frej
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A35: Ergodic theory
• 28D20: Entropy and other invariants

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 126
• Numer: 2
• Strony: 205-216

Daty

wydano

2012

Twórcy

autor

Paulina Frej

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm126-2-5