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Limits of random iterates

open access: bronzePublicationes Mathematicae Debrecen, 2009
Summary: Given a probability space \((\Omega, {\mathcal A},P)\), a nonempty subset \(X\) of a separable Banach space \(Y\) and an random-valued function \(f: X\times\Omega\to X\), we assume that the sequence of iterates of \(f\) converges to a function \(\xi: X\times\Omega^{\infty}\to Y\).
Rafał Kapica, Janusz Morawiec
openalex   +3 more sources

Exchange of Limits: Why Iterative Decoding Works [PDF]

open access: greenIEEE Transactions on Information Theory, 2008
We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes and message-passing decoding. The asymptotic (in the length) performance of such a combination for a fixed number of iterations is given by density evolution.
Satish Babu Korada, Rüdiger Urbanke
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Iterated fine limits [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1990
Let v and u be, respectively n-superharmonic and n-harmonic functions on the product of n harmonic spaces. We prove that the iterated fine limits of V exist and are independent of the order, for A almost every minimal U boundary element where A represents the function u.
Kohur Gowrisankaran
openalex   +2 more sources

Matrix Scaling Limits in Finitely Many Iterations [PDF]

open access: green, 2019
The alternate row and column scaling algorithm applied to a positive $n\times n$ matrix $A$ converges to a doubly stochastic matrix $S(A)$, sometimes called the \emph{Sinkhorn limit} of $A$. For every positive integer $n$, a two parameter family of row but not column stochastic $n\times n$ positive matrices is constructed that become doubly stochastic ...
Melvyn B. Nathanson
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Iterated Limits of Lattices [PDF]

open access: bronzeCanadian Journal of Mathematics, 1974
In this paper the results of [5] are extended to classes of lattices. We assume familiarity with [5], but we recall for convenience the principal definitions and notations. If is a category and if is a direct [resp., inverse] limit system in , then is the direct [resp., inverse] limit of (determined only up to isomorphism in ).
Craig Platt
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Double Sequences and Iterated Limits in Regular Space [PDF]

open access: diamond, 2016
First, we define in Mizar [5], the Cartesian product of two filters bases and the Cartesian product of two filters. After comparing the product of two Fréchet filters on ℕ (F1) with the Fréchet filter on ℕ × ℕ (F2), we compare limF₁ and limF₂ for all ...
Roland Coghetto
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New equations to estimate 24-h urinary creatinine excretion [PDF]

open access: yesScientific Reports
We aimed to develop and validate prediction equations to estimate the 24-h creatinine excretion in Brazilian adults. We executed cross-sectional randomly distributed measurements in 330 adults from Vitória, a south-western Brazilian city.
Gabriela Callo-Quinte   +3 more
doaj   +2 more sources

Iterated limits. [PDF]

open access: bronzeMichigan Mathematical Journal, 1958
Toni Hildebrandt
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On the convergence rates of pairs of adjacent sequences

open access: yesJournal of Numerical Analysis and Approximation Theory, 2020
In this paper we give a suitable definition for the pairs of adjacent (convergent) sequences of real numbers, we present some two-sided estimations which caracterize the order of convergence to its limits of some of these sequences and we give certain ...
Dorel I. Duca, Andrei Vernescu
doaj   +7 more sources

Experimental Evidence on Iterated Reasoning in Games. [PDF]

open access: yesPLoS ONE, 2015
We present experimental evidence on two forms of iterated reasoning in games, i.e. backward induction and interactive knowledge. Besides reliable estimates of the cognitive skills of the subjects, our design allows us to disentangle two possible ...
Sascha Grehl, Andreas Tutić
doaj   +1 more source

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