Results 221 to 230 of about 351,035 (243)

A Privacy-Preserving Approach to Health Insurance Fraud Detection Using Vertical Federated Learning. [PDF]

Sensors (Basel)
R RK, Paramarthalingam A, Kanthan H, Karthiban M.   +3 more
europepmc   +1 more source

The Wafold: Curvature-Driven Termination and Dimensional Compression in Black Holes. [PDF]

Entropy (Basel)
Viaña J.
europepmc   +1 more source

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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
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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.
openaire   +2 more sources

Jointly ergodic measure-preserving transformations

Israel Journal of Mathematics, 1984
The notion of ergodicity of a measure preserving transformation is generalized to finite sets of transformations. The main result is that, if \(T_ 1,T_ 2,...,T_ s\) are invertible commuting measure preserving transformations, of a probability space (X,\({\mathcal B},\mu)\), then \[ \frac{1}{N-M}\sum^{N-1}_{n=M}T^ n_ 1f_ 1\cdot T^ n_ 2f_ 2\cdot...\cdot ...
Berend, Daniel, Bergelson, Vitaly
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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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