Results 221 to 230 of about 33,406 (259)

In General a Measure Preserving Transformation is Mixing

The Annals of Mathematics, 1944
Not ...
openaire   +2 more sources

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
openaire   +1 more source

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.
openaire   +2 more sources

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.
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +2 more sources

Groups of measurable and measure preserving transformations

1982
This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
openaire   +1 more source

Transformations preserving a Wiener measure

Lithuanian Mathematical Journal, 1982
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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.
openaire   +2 more sources

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 ...
openaire   +3 more sources