Results 221 to 230 of about 708,407 (265)

On the Uniformity of Distribution of the ElGamal Signature

Applicable Algebra in Engineering, Communication and Computing, 2002
We show that, under some natural conditions, the pairs \((r,s)\) produced by the ElGamal signature scheme are uniformly distributed. In particular this implies that values of \(r\) and \(s\) are not correlated. The result is based on some new estimates of exponential sums.
openaire   +1 more source

CORRELATIONS AND CHARACTERIZATIONS OF THE UNIFORM DISTRIBUTION

Australian Journal of Statistics, 1986
SummaryTwo characterizations of the uniform distribution on a suitable compact space are proved. These characterizations are applied to a number of particular examples of which the most interesting is the following: if X, Y and Z are independent n‐vectors whose components are independent and identically distributed within a vector, then the pairwise ...
Brown, Timothy C., Cartwright, Donald I., Eagleson, G. K.   +2 more
openaire   +1 more source

Uniform distribution and Voronoĭ convergence

Sbornik: Mathematics, 2005
Udgivelsesdato: SEP ...
Kozlov, V.V., Madsen, Tatiana Kozlova
openaire   +2 more sources

Distributional Chaos on Uniform Spaces

Qualitative Theory of Dynamical Systems, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sejal Shah, Tarun Das, Ruchi Das
openaire   +2 more sources

A theorem on uniform distribution

1963
Es sei \(\{I_j\}^\infty_{j=1}\) eine Folge von paarweise elementfremden Intervallen \(I_j = (x_j,y_j)\) derart, daß \(0 \leq x_1 < y_1 < x_2 < y_2 < \cdots\) und \(\lim_{j \to \infty} x_j = \infty\) gilt. Für \(Z>0\) sei \(I(Z)\) das Lebesguesche Maß der Punktmenge \(\cup_{j=1}^{\infty} I_j \cap (0,Z)\). Für \(\alpha > 0\) und für jede natürliche Zahl \
Davenport, H., Erdős, P.
openaire   +1 more source

The Uniform Distribution as a Universal Prior

IEEE Transactions on Information Theory, 2004
In this correspondence, we discuss the properties of the uniform prior as a universal prior, i.e., a prior that induces a mutual information that is simultaneously close to the capacity for all channels. We determine bounds on the amount of the mutual information loss in using the uniform prior instead of the capacity-achieving prior. Specifically, for
Nadav Shulman, Meir Feder
openaire   +1 more source

Uniform representations of bivariate distributions

Communications in Statistics, 1975
This paper explores the representation of bivariate distributions in terms of their bivariate uniform trsnslates. It is shown that this natural rapresentation in terms of bivariate distributions whose marginals are uniform allows us to study easily cartain properties of bivariate distributions.
Kimeldorf, George, Sampson, Allan
openaire   +1 more source

Uniform distribution

1998
Abstract Definitions. The sequence α,b and normal numbers. Uniform distribution and Riemann integration. Koksma’s inequality. Fourier analysis. The Erdős-Turán theorem and the Wey/ criterion. The sequence nα. Very slowly growing sequences. Metrical theory.
openaire   +2 more sources

Uniform Distribution in Model Sets

Canadian Mathematical Bulletin, 2002
AbstractWe give a new measure-theoretical proof of the uniform distribution property of points in model sets (cut and project sets). Each model set comes as a member of a family of related model sets, obtained by joint translation in its ambient (the ‘physical’) space and its internal space. We prove, assuming only that the window defining themodel set
openaire   +1 more source

On the Uniform Distribution of Strings.

2008
In this paper, we propose the definition of a measure for sets of strings, over a finite alphabet, that have a length not greater than a given number. This measure leads to an instanciation of the uniform distribution definition in sets of such limited-size strings, for which we provide a linear time complexity generative algorithm.Some ideas could ...
Rebecchi, Sébastien, Jolion, Jean-Michel   +1 more
openaire   +2 more sources