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Local inverse measure-theoretic entropy for endomorphisms
Eugen Mihailescu, Radu B. Munteanu
We introduce a new notion of local inverse metric entropy along backward trajectories for ergodic measures preserved by endomorphisms (non-invertible maps) on a compact metric spac…
The flow of weights of some factors arising as fixed point algebras
Radu B. Munteanu
In this paper we study the associated flow of some factors arising as fixed point algebras under product type actions on ITPFI factors. We compute their associated flow and show th…
Approximate transitivity of the ergodic action of the group of finite permutations of on
B. Mitchell Baker, Thierry Giordano, Radu B. Munteanu
In this paper we show that the natural action of the symmetric group acting on the product space endowed with a symmetric measure is approximately transit…
Nonsingular transformations and dimension spaces
Thierry Giordano, David Handelman, Radu B. Munteanu
For any adic transformation defined on the path space of an ordered Bratteli diagram, endowed with a Markov measure , we construct an explicit dimension space (which cor…
A property of ergodic flows
Maria Joita, Radu-B. Munteanu
In this paper we introduce a property of ergodic flows, called Property B. We prove that any ergodic hyperfinite equiva- lence relation of type III_o whose associated flow satisfie…
Entropy of AT(n) systems
Radu-B. Munteanu
In this paper we show that any ergodic measure preserving transformation of a standard probability space which is AT for some positive integer has zero entropy. We show th…
A non-product type non-singular transformation which satisfies Krieger's property A
Radu-B. Munteanu
We show that there exists an ergodic non-singular transformation which satisfies Krieger's property A, but which is not of product type.