Results 21 to 30 of about 351,035 (243)
A survey on spectral multiplicities of ergodic actions [PDF]
, 2011 Given a transformation $T$ of a standard measure space $(X,\mu)$, let $\Cal M(T)$ denote the set of spectral multiplicities of the Koopman operator $U_T$ defined in $L^2(X,\mu)\ominus\Bbb C$ by $U_Tf:=f\circ T$. It is discussed in this survey paper which
Danilenko, Alexandre I.
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A mixing dynamical system on the cantor set
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we give mixing properties (ergodic, weak-mixng and strong-mixing) to a dynamical system on the Cantor set by showing that the one-sided (12,12)-shift map is isomorphic to a measure preserving transformation defined on the Cantor ...
Jeong H. Kim
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IEEE Access, 2013 The signal processing concept of signal-to-noise ratio (SNR), in its role as a performance measure, is recast within the more general context of information theory, leading to a series of useful insights. Establishing generalized SNR (GSNR) as a rigorous
John Polcari
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On the Cs\'aki-Vincze transformation [PDF]
, 2012 Cs aki and Vincze have de fined in 1961 a discrete transformation T which applies to simple random walks and is measure preserving. In this paper, we are interested in ergodic and assymptotic properties of T .
Hajri, Hatem
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Functorial properties of the lattice of functional semi-norms
International Journal of Mathematics and Mathematical Sciences, 1986 Given a measureable transformation between measure spaces, we determine when such gives rise to a mapping between the corresponding lattice of function semi-norms.
I. E. Schochetman, S. K. Tsui
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Ergodic properties of infinite extensions of area-preserving flows [PDF]
, 2011 We consider volume-preserving flows $(\Phi^f_t)_{t\in\mathbb{R}}$ on $S\times \mathbb{R}$, where $S$ is a closed connected surface of genus $g\geq 2$ and $(\Phi^f_t)_{t\in\mathbb{R}}$ has the form $\Phi^f_t(x,y)=(\phi_tx,y+\int_0^t f(\phi_sx)ds)$, where $
Fraczek, Krzysztof, Ulcigrai, Corinna
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A decomposition of multicorrelation sequences for commuting transformations along primes
Discrete Analysis, 2021 A decomposition of multicorrelation sequences for commuting transformations along primes, Discrete Analysis 2021:4, 27 pp. Szemerédi's theorem asserts that for every positive integer $k$ and every $\delta>0$ there exists $n$ such that every subset of $\
Anh N. Le, Joel Moreira, Florian Richter
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International Journal of Mathematics and Mathematical Sciences, 1993 Let F1,…,FN be 1-dimensional probability distribution functions and C be an N-copula. Define an N-dimensional probability distribution function G by G(x1,…,xN)=C(F1(x1),…,FN(xN)).
Piotor Mikusiński +3 more
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Approximation Theories for Measure Preserving Transformations [PDF]
Transactions of the American Mathematical Society, 1944 Not ...
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Predictability, entropy and information of infinite transformations
, 2009 We show that a certain type of quasi finite, conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets.
Aaronson, Jon, Park, Kyewon Koh
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