Decompositions of Measures on Pseudo Effect Algebras

Recently in \cite{Dvu3} it was shown that if a pseudo effect algebra satisfies a kind of the Riesz Decomposition Property ((RDP) for short), then its state space is either empty or a nonempty simplex. This will allow us to prove a Yosida-Hewitt type and a Lebesgue type decomposition for measures on pseudo effect algebra with (RDP). The simplex structure of the state space will entail not only the existence of such a decomposition but also its uniqueness

Polynomial poly-vector fields

In this text we give a decomposition result on polynomial poly-vector fields generalizing a result on the decomposition of homogeneous Poisson structures. We discuss consequences of this decomposition result in particular for low dimensions and low degrees. We provide the tools to calculate simple cubic Poisson structures in dimension three and quadratic Poisson structures in dimension four. Our decomposition result has a nice effect on the relation between Poisson structures and Jacobi structures.Comment: 20 pages. v4: sections rearranged and formulations clarifie

Memory Effect and Fast Spinodal Decomposition

We consider the modification of the Cahn-Hilliard equation when a time delay process through a memory function is taken into account. We then study the process of spinodal decomposition in fast phase transitions associated with a conserved order parameter. The introduced memory effect plays an important role to obtain a finite group velocity. Then, we discuss the constraint for the parameters to satisfy causality. The memory effect is seen to affect the dynamics of phase transition at short times and has the effect of delaying, in a significant way, the process of rapid growth of the order parameter that follows a quench into the spinodal region.Comment: 4 pages, 3 eps figure

Decomposition of Congruence Modular Algebras into Atomic, Atomless Locally Uniform and Anti-Uniform Parts

We describe here a special subdirect decomposition of algebras with modular congruence lattice. Such a decomposition (called a star-decomposition) is based on the properties of the congruence lattices of algebras. We consider four properties of lattices: atomic, atomless, locally uniform and anti-uniform. In effect, we describe a star-decomposition of a given algebra with modular congruence lattice into two or three parts associated to these properties

“Leftist”, “Rightist” and Intermediate Decompositions of Poverty Variations with an Application to China from 1990 to 2003

This paper investigates the influence of invariance axioms in the decomposition of observed poverty variations into growth and inequality effects. After a complete and critical review of the invariance axioms suggested in the literature, we show that few information is needed for the ordering of the effects respectively obtained through scale, translation and intermediate invariance. Using Chinese data for the period 1990-2003, we find that some commonly observed results of the decomposition are contingent to the invariance axiom choices whilst other are robust to changes in ethical preferences.Poverty, inequality effect, growth effect, Decomposition, scale invariance, translationinvariance, intermediate invariance, China

Indices of redistributive effect and reranking: reinterpretation

Kakwani decomposition of redistributive effect into vertical and reranking terms is one of the most widely used tools in measurement of income redistribution. However, Urban (2009) argues that the decomposition features some methodological problems and calls for its reinterpretation. This paper builds several different measurement models, constructs new indices of redistributive effect and reranking reinventing the existing ones, and establishes important propositions on the role of reranking in redistributive process. All that is done to prove that standard interpretation of Kakwani decomposition is misleading. New roles are suggested for the well-known indices of redistributive, vertical and reranking effect.Kakwani decomposition, redistributive, reranking and vertical effects.

Decomposing demographic change into direct vs. compositional components

We present and prove a formula for decomposing change in a population average into two components. One component captures the effect of direct change in the characteristic of interest, and the other captures the effect of compositional change. The decomposition is applied to time derivatives of averages over age and over subpopulations. Examples include decomposition of the change over time in the average age at childbearing and in the general fertility rate for China, Denmark and Mexico. A decomposition of the change over time in the crude death rate in Denmark, Germany and the Netherlands is also presented. Other examples concern global life expectancy and the growth rate of the population of the world.components of change, decomposition, derivatives of averages, formal demography

Investigations on alternative substances for control of apple scab - results from sanitation trials

The intention of this research project, which was supported within the "Bundesprogramm Ökologischer Landbau", was to look for alternatives in organic fruit growing to control apple scab, Venturia inaequalis. One important part of the investigations was the application of different substances like microbiological nutrient media, enzymes usually used for production of fruit juices and organic fertilizers on their effect on the ascospore potential on depots of fallen leaves. Some substances like TRYPTIC SOY BROTH increased the decomposition of the leaves significantly, other like BACTOFIL B and HUMOFIX showed nearly no effect on the decomposition, but reduced the ascospore potential in early spring by 80 % compared to the untreated control