40,564 research outputs found
The African Union as a security actor: African solutions to African problems?
This paper focuses on the problem-solving capacity of the African Union (AU) and its predecessor, the Organisation of African Unity (OAU). It forms a companion paper to WP56.2 which looks specifically at the ability of African sub-regional organisations to play their part in dealing with Africa's conflicts and security issues. Both papers examine the hypothesis that a regional hegemon, and a measure of shared values and norms, are necessary requirements for an effective regional security organisation. The paper commences with a brief account of the concept of hegemony, followed by an analysis of the empirical question as to whether there are any potential hegemons in Africa. The author goes on to analyse the OAU's record in dealing with conflict and traces the genesis of the AU, its ambitions, organisational structure and actual accomplishments in the realm of peace and security
Modelling aggregation on the large scale and regularity on the small scale in spatial point pattern datasets
We consider a dependent thinning of a regular point process with the aim of
obtaining aggregation on the large scale and regularity on the small scale in
the resulting target point process of retained points. Various parametric
models for the underlying processes are suggested and the properties of the
target point process are studied. Simulation and inference procedures are
discussed when a realization of the target point process is observed, depending
on whether the thinned points are observed or not. The paper extends previous
work by Dietrich Stoyan on interrupted point processes
Constructing Universal Abelian Covers of Graph Manifolds
To a rational homology sphere graph manifold one can associate a weighted
tree invariant called splice diagram. It was shown earlier that the splice
diagram determines the universal abelian cover of the manifold. We will in this
article turn the proof of this in to an algorithm to explicitly construct the
universal abelian cover from the splice diagram.Comment: 12 page
Homotopy Lie groups
Homotopy Lie groups, recently invented by W.G. Dwyer and C.W. Wilkerson,
represent the culmination of a long evolution. The basic philosophy behind the
process was formulated almost 25 years ago by Rector in his vision of a
homotopy theoretic incarnation of Lie group theory. What was then technically
impossible has now become feasible thanks to modern advances such as Miller's
proof of the Sullivan conjecture and Lannes's division functors. Today, with
Dwyer and Wilkerson's implementation of Rector's vision, the tantalizing
classification theorem seems to be within grasp. Supported by motivating
examples and clarifying exercises, this guide quickly leads, without ignoring
the context or the proof strategy, from classical finite loop spaces to the
important definitions and striking results of this new theory.Comment: 16 page
A Remark on Wick Ordering of Random Variables
This paper is a small note on the notation , for the Wick
ordering of polynomials of random variables , as
introduced by Segal in [6]. We argue that expressing as another
polynomial of a different set of random variables ,
does not give rise to a different Wick ordered random variable , provided the new random variables are linear combinations of the
's
Determining When The Universal Abelian Cover of a Graph Manifold is a Rationla Homology Sphere
It was shown in my earlier article that the splice diagram of a rational
homology sphere graph manifold determines the manifolds universal abelian
cover. In this article we use the proof of this to give a condition on the
splice diagram to determine when the universal abelian cover itself is a
rational homology sphere.Comment: 13 page
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