Results 31 to 40 of about 352,757 (205)
A survey on spectral multiplicities of ergodic actions [PDF]
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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Context: Dual VET systems are often praised for their labour market proximity because of economic stakeholders’ involvement. However, when labour market requirements change rapidly, a lack of flexibility is attributed to them.
Carmen Baumeler +2 more
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On the Cs\'aki-Vincze transformation [PDF]
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
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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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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A decomposition of multicorrelation sequences for commuting transformations along primes
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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Predictability, entropy and information of infinite transformations
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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On orbits under ergodic measure-preserving transformations [PDF]
Let \(I\) be the unit interval with Lebesgue measure and let \(T\) be a 1-1 measure-preserving ergodic transformation mapping \(I\) onto \(I\). Intuitively one feels that the orbit \(\{T^nx\}\) of a ``general'' point \(x\in I\) should somehow determine \(T\). This notion is made precise in this paper.
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Ergodicity and Conservativity of products of infinite transformations and their inverses
We construct a class of rank-one infinite measure-preserving transformations such that for each transformation $T$ in the class, the cartesian product $T\times T$ of the transformation with itself is ergodic, but the product $T\times T^{-1}$ of the ...
Clancy, Julien +6 more
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Degree of recurrence of generic diffeomorphisms
Degree of recurrence of generic diffeomorphisms, Discrete Analysis 2019:1, 43 pp. The theory of discrete-time dynamical systems concerns iterations of maps $f:X\to X$, where $X$ is a space of some kind (e.g.
Pierre-Antoine Guihéneuf
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