Results 211 to 220 of about 172,242 (244)

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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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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Linear Functionals Invariant Under Measure Preserving Transformations

Mathematische Nachrichten, 1984
The main result is the following: Theorem. Let (\(\Omega\),\(\Sigma\),\(\mu)\) be a standard measure space and let \(f\in L_{\infty}(\Omega,\Sigma,\mu)\) be such that \(\int_{\Omega}fd\mu =0\) then there exists a measure preserving transformation T of (\(\Omega\),\(\Sigma\),\(\mu)\) and \(g\in L_{\infty}(\Omega,\Sigma,\mu)\) such that \(f=g\circ T-g.\)
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Measurability – Preserving Weakly Mixing Transformations

Sarajevo Journal of Mathematics
In this paper we investigate measure-theoretic properties of the class of all weakly mixing transformations on a finite measure space which preserve measurability. The main result in this paper is the following theorem: If $\phi $ is a weakly mixing transformation on a finite measure space $( S, \mathcal A , \mu )$ with the property that $\phi ...
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Measure-preserving transformations, copulae and compatibility

2008
We study the relationship between copulas and measure-preserving transformations on the Borel sets of the u it interval. This also allows to investigate the connection with a restricted compatibility problem for copulas. To this end, in order to construct a 3-copula from two given 2-copulas A and B, we modify the *-operation introduced by Darsow et al.,
KOLESAROVA, A, MESIAR, R, SEMPI, Carlo, C.   +3 more
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Time to add screening for financial hardship as a quality measure?

Ca-A Cancer Journal for Clinicians, 2021
Cathy J Bradley, K Robin Yabroff, Ya-Chen Tina Shih   +2 more
exaly  

Equivalence of measure preserving transformations

Memoirs of the American Mathematical Society, 1982
Donald S. Ornstein, Daniel J. Rudolph, Benjamin Weiss   +2 more
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Electric field-induced transformations in bismuth sodium titanate-based materials

Progress in Materials Science, 2021
Giuseppe Viola, Ye Tian, Vladimir Koval
exaly