Results 231 to 240 of about 4,562,823 (281)

Commuting measure-preserving transformations

Israel Journal of Mathematics, 1972
Let φ1, ... ,φd be commuting measure-preserving transformations, \( \phi ^l \equiv \phi _1^{l_1 } \phi _2^{l_2 } \cdot \cdot \cdot \phi _d^{l_d } ,\Phi = \left\{ {\phi ^l } \right\} \). The Kakutani-Rokhlin tower theorem is proved in a refined form for non-periodic groups Φ, and the Shannon-McMillan theorem is extended to ergodic groups.
Katznelson, Yitzhak, Weiss, Benjamin
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Isomorphism of measure preserving transformations

Kybernetika, 1987
The \(\delta\)-entropy of endomorphism has been defined. This entropy reduces to the Shannon entropy of endomorphism for \(\delta =1\). The two isomorphic measure preserving transformations have the same \(\delta\)- entropy of endomorphism.
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𝑘-parameter semigroups of measure-preserving transformations

Transactions of the American Mathematical Society, 1973
An individual ergodic theorem is proved for semigroups of measure-preserving transformations depending on k real parameters, which generalizes N. Wiener’s ergodic theorem.
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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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Spectral multiplicities of infinite measure preserving transformations

, 2009
Each set E ⊂ ℕ is realized as the set of essential values of the multiplicity function of the Koopman operator for an ergodic conservative infinite measure preserving transformation.
A. I. Danilenko, V. Ryzhikov
semanticscholar   +1 more source

Transformations on Bounded Observables Preserving Measure of Compatibility

International Journal of Theoretical Physics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Molnár, Lajos, Timmermann, Werner
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Transformations preserving a Wiener measure

Lithuanian Mathematical Journal, 1982
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Non-unique inclusion in a?flow and vast centralizer of a?generic measure-preserving transformation

, 2004
Anatolii Mikhailovich Stepin, A. Eremenko   +1 more
semanticscholar   +1 more source

A Measure Preserving Transformation whose Spectrum has Lebesgue Component of Multiplicity Two

, 1984
J. Mathew, M. Nadkarni
semanticscholar   +1 more source