Results 31 to 40 of about 352,757 (205)

A survey on spectral multiplicities of ergodic actions [PDF]

open access: yes, 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.
core   +1 more source

The Dilemmas of Flexibilisation of Vocational Education and Training: A Case Study of the Piano Makers

open access: yesInternational Journal for Research in Vocational Education and Training, 2021
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
doaj   +1 more source

On the Cs\'aki-Vincze transformation [PDF]

open access: yes, 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
core   +3 more sources

Functorial properties of the lattice of functional semi-norms

open access: yesInternational 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
doaj   +1 more source

The Fréchet transform

open access: yesInternational 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
doaj   +1 more source

A decomposition of multicorrelation sequences for commuting transformations along primes

open access: yesDiscrete 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
doaj   +1 more source

Predictability, entropy and information of infinite transformations

open access: yes, 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
core   +1 more source

On orbits under ergodic measure-preserving transformations [PDF]

open access: yesTransactions of the American Mathematical Society, 1965
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.
openaire   +2 more sources

Ergodicity and Conservativity of products of infinite transformations and their inverses

open access: yes, 2015
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
core   +1 more source

Degree of recurrence of generic diffeomorphisms

open access: yesDiscrete Analysis, 2019
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
doaj   +1 more source

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