A note on the relation between asymptotic rates of a flow under a function and its basis-automorphism
Miroslav Krutina (1989)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Miroslav Krutina (1989)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Miroslav Krutina (1989)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Miroslav Krutina (1990)
Kybernetika
Similarity:
Maria Joiţa, Radu-B. Munteanu (2014)
Studia Mathematica
Similarity:
We introduce a property of ergodic flows, called Property B. We prove that an ergodic hyperfinite equivalence relation of type III₀ whose associated flow has this property is not of product type. A consequence is that a properly ergodic flow with Property B is not approximately transitive. We use Property B to construct a non-AT flow which-up to conjugacy-is built under a function with the dyadic odometer as base automorphism.
F. Blanchard, B. Kamiński (1995)
Studia Mathematica
Similarity:
We show that for every ergodic flow, given any factor σ-algebra ℱ, there exists a σ-algebra which is relatively perfect with respect to ℱ. Using this result and Ornstein's isomorphism theorem for flows, we give a functorial definition of the entropy of flows.