Results 201 to 210 of about 11,759 (233)

Characterizations of Measurability-Preserving Ergodic Transformations

Sarajevo Journal of Mathematics
Let ($S, \mathfrak{A}, \mu$) be a finite measure space and let $\phi: S \rightarrow S$ be a transformation which preserves the measure $\mu$. The purpose of this paper is to give some (measure theoretical) necessary and sufficient conditions for the transformation $\phi$ to be measurability-preserving ergodic with respect to $\mu$. The obtained results
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LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS

Russian Mathematical Surveys, 1967
CONTENTSIntroduction § 1. Preliminaries from measure theory § 2. Isometric operators § 3. Measure-preserving transformations § 4. Entropy of a measurable partition § 5. Mean conditional entropy § 6. Spaces of partitions § 7. Fundamental lemmas § 8. Properties of the function h(T, ξ) § 9. Entropy of an endomorphism § 10.
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Measure preserving transformations similar to Markov shifts

Israel Journal of Mathematics, 2009
A \(c\)-factor map between infinite measure-preserving systems \((X,\mathcal B,\mu,T)\) and \((X',\mathcal B',\mu',T')\) is a measurable map \(p:(X,\mathcal B)\to(X',\mathcal B')\) with \(p\circ T=T'\circ p\) and \(\mu\circ p^{-1}=c\mu'\). Infinite measure-preserving systems are said to be similar if they share an extension: that is, there are ...
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Spectral Properties for Invertible Measure Preserving Transformations

Canadian Journal of Mathematics, 1973
An invertible measure preserving transformation T on the unit interval I generates a unitary operator U on the space L2(I) of Lebesque square integrable functions given by (Uf)(x) = f(Tx) for all f in L2(I) and x in I. By definitionfor all f , g in L2(I), the bar denoting complex conjugation.
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On relative ranks of the semigroup of orientation-preserving transformations on infinite chain with restricted range

Communications in Algebra, 2022
Jörg Koppitz, Ilinka Dimitrova
exaly  

Approximation of measure-preserving transformations

Mathematical Systems Theory, 1972
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On Groups of Measure Preserving Transformations. II

American Journal of Mathematics, 1959
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Measure-preserving transformations

Alex Blumenthal, Lai-Sang Young
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Measure-preserving transformations

1975
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On the maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations

Semigroup Forum, 2010
Jörg Koppitz, Ilinka Dimitrova
exaly