Results 231 to 240 of about 364,452 (273)

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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Groups of measure preserving transformations

1973
B. Weiss
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Conjugates of Infinite Measure Preserving Transformations

Canadian Journal of Mathematics, 1988
In this paper we consider a question concerning the conjugacy class of an arbitrary ergodic automorphism σ of a sigma finite Lebesgue space (X, , μ) (i.e., a is a ju-preserving bimeasurable bijection of (X, , μ). Specifically we proveTHEOREM 1. Let τ, σ be any pair of ergodic automorphisms of an infinite sigma finite Lebesgue space (X, , μ).
Alpern, S., Choksi, J. R., Prasad, V. S.
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Finite generators for ergodic, measure-preserving transformations

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1974
M. Denker
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Square Roots of Measure Preserving Transformations

American Journal of Mathematics, 1942
Not ...
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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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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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