We give two new constructions of symmetric group divisible designs using divisible difference sets. These constructions generalize the McFarland and Spence constructions of symmetric designs. Divisible designs are of interest in several parts of mathematics: The design theorist needs classes of divisible designs as "ingredients" for recursive constructions of designs. Statisticians use divisibl...

In this paper, we recommend and promote global standards of the e-Trade process on the basis of ebXML & web services. For the ebXML Frameworkbased e-Trade to be facilitated, it is urgent for each country to implement and use national ebXML registry and standardize electronic documents, electronic catalog and electronic payment. In UNCEFACT, ebXML-based UN Central Registry & Repository is in the...

We study the relation between stochastic domination of an innnitely divisible random vector X by another innnitely divisible random vector Y and their corresponding L evy measures. The results are used to derive a Slepian-type inequality for a general class of symmetric innnitely divisible random vectors.

In a previous paper ([B-G1]), we defined the rectangular free convolution ⊞ λ . Here, we investigate the related notion of infinite divisibility, which happens to be closely related the classical infinite divisibility: there exists a bijection between the set of classical symmetric infinitely divisible distributions and the set of ⊞ λ -infinitely divisible distributions, which preserves limit t...