Irreducible convex paving for decomposition of multi-dimensional martingale transport plans

Martingale transport plans on the line are known from Beiglbock & Juillet to have an irreducible decomposition on a (at most) countable union of intervals. We provide an extension of this decomposition for martingale transport plans in R^d, d larger than one. Our decomposition is a partition of R^d consisting of a possibly uncountable family of relatively open convex components, with the required measurability so that the disintegration is well-defined. We justify the relevance of our decomposition by proving the existence of a martingale transport plan filling these components. We also deduce from this decomposition a characterization of the structure of polar sets with respect to all martingale transport plans.Comment: 52 pages, 2 figure

Food Insecurity Rates Rise Steeply with Recession

Children's HealthWatch finds that the prevalence of food insecurity in a five-city sample of low-income families with young children increased from 18.5 percent to 22.6 percent between 2007 and 2008. This is the largest year-to-year change seen in the dataset since 2001. The increase is an indication of the economic hardships facing low-income families with young children. This data suggests that we are likely to see significant increases in food insecurity when the U.S. Department of Agriculture issues its own statistics for 2008 in late fall

Federal Programs that Protect Young Children's Health

An investment in children's health is an investment in our country's economic health. Infants and toddlers, whose bodies and brains are in their most rapid period of growth, are uniquely vulnerable to even shortterm deprivation. Ensuring that they have the basic physiologic building blocks for healthy bodies and minds is not only the right thing to do -- it is the smart thing to do. Research has shown that children who suffer from poor nutrition, unstable housing and inadequate home heating have a greater likelihood of poor health, a higher risk of developmental delays and, in some cases, an increased risk of hospitalization

Even Very Low Levels of Food Insecurity Found to Harm Children's Health

This publication is the first in a series of Children's HealthWatch Policy Action Briefs, which will provide a summary of our research, as well as that of others, on issues affecting children's health and well-being. This brief finds that more children are at risk for health and developmental problems due to lack of food than were previously thought. These children and their families are classified as

Sexuality in organizations: An approach based on Georges Bataille’s theory of eroticism

International audiencePurpose – This article aims to examine the theme of “sexuality in organizations” according to the theory of eroticism of Georges Bataille (1897-1962).Design/methodology/approach – The author reviewed Bataille’s essays in order to identify the salient points of his analysis of eroticism, before applying them to the organizations.Findings – The anthropologic notions of prohibition and transgression (antagonistic yet complementary) facilitate a different view of the opposition formulated in critical management studies as between desexualization and resexualization. These notions also open up quite a number of lines of research in the analysis of the sexuality of organizations.Research limitations/implications – These lines of research call for further work particularly in the basic ground work.Originality/value – Georges Bataille’s insights have been used very rarely in organizational analysis, even those of critical stream in management. The theme of sexuality in organizations has been largely ignored by mainstream