Characteristic Spaces Emerging from Primitive Chaos

Primitive recursion in niteness spaces

We study iteration and recursion operators in the multiset relational model of linear logic and prove them nitary in the sense of the niteness spaces recently introduced by Ehrhard. This provides a denotational semantics of Gödel's system T and paves the way for a systematic study of a large class of algorithms, following the ideas of Girard's quantitative semantics in a standard algebraic sett...

Order emerging from chaos in human evolutionary genetics.

I t has been an interesting decade in human evolutionary genetics. We have gone from hope to confidence and from confidence to despair. A series of recent studies, two of which appear in this and a recent issue of PNAS (1, 2), gives new grounds for optimism. The initial hope to which I refer was a product of the first large-scale studies of variation in human mitochondrial DNA (3). For years, p...

Haiti emerging from chaos to face health care crisis.

Gaussian Hilbert Spaces and Homogeneous Chaos: From theory to applications

The goal of this brief note is to present the classical theory of homogeneous chaos decomposition of square integrable random variables and provide a clear connection to the practical applications of the theory.

Primitive Spaces of Matrices of Bounded Rank

A weak canonical form is derived for vector spaces of m x n matrices all of rank at most r. This shows that the structure of such spaces is controlled by the structure of an associated 'primitive' space. In the case of primitive spaces it is shown that m and n are bounded by functions of r and that these bounds are tight. 1980 Mathematics subject classification (Amer. Math. Soc.): 15 A 30, 15 A...