Results 191 to 200 of about 11,759 (233)

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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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.
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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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The ergodic infinite measure preserving transformation of boole

Israel Journal of Mathematics, 1973
G. Boole proved that the transformation φ of the real line, defined by φ(x)=x−1/x, preserves Lebesgue measure. A general method is applied to proving that φ is ergodic. Some further applications of the method are also indicated.
Adler, Roy. L., Weiss, Benjamin
openaire   +2 more sources

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