Critical Nodes In Directed Networks

Critical nodes or "middlemen" have an essential place in both social and economic networks when considering the flow of information and trade. This paper extends the concept of critical nodes to directed networks. We identify strong and weak middlemen. Node contestability is introduced as a form of competition in networks; a duality between uncontested intermediaries and middlemen is established. The brokerage power of middlemen is formally expressed and a general algorithm is constructed to measure the brokerage power of each node from the networks adjacency matrix. Augmentations of the brokerage power measure are discussed to encapsulate relevant centrality measures. We use these concepts to identify and measure middlemen in two empirical socio-economic networks, the elite marriage network of Renaissance Florence and Krackhardt's advice network.Comment: 28 pages, 6 figures, 2 table

The primitive ideals of some \'etale groupoid C*-algebras

Consider the Deaconu-Renault groupoid of an action of a finitely generated free abelian monoid by local homeomorphisms of a locally compact Hausdorff space. We catalogue the primitive ideals of the associated groupoid C*-algebra. For a special class of actions we describe the Jacobson topology.Comment: 22 page

Estimating the Firm's Labor Supply Curve in a "New Monopsony" Framework: School Teachers in Missouri

In the context of certain dynamic models, it is possible to infer the elasticity of labor supply to the firm from the elasticity of the quit rate with respect to the wage. Using this property, we estimate the average labor supply elasticity to public school districts in Missouri. We take advantage of the plausibly exogenous variation in pre-negotiated district salary schedules to instrument for actual salary. Instrumental variables estimates lead to a labor supply elasticity estimate of about 3.7, suggesting the presence of significant market power for school districts, especially over more experienced teachers. The presence of monopsony power in this labor market may be partially explained by institutional features of the teacher labor market.labor monopsony, teachers

Application of projection algorithms to differential equations: boundary value problems

The Douglas-Rachford method has been employed successfully to solve many kinds of non-convex feasibility problems. In particular, recent research has shown surprising stability for the method when it is applied to finding the intersections of hypersurfaces. Motivated by these discoveries, we reformulate a second order boundary valued problem (BVP) as a feasibility problem where the sets are hypersurfaces. We show that such a problem may always be reformulated as a feasibility problem on no more than three sets and is well-suited to parallelization. We explore the stability of the method by applying it to several examples of BVPs, including cases where the traditional Newton's method fails

The Dixmier-Douady Classes of Certain Groupoid C∗C^*-Algebras with Continuous Trace

Given a locally compact abelian group $G$, we give an explicit formula for the Dixmier--Douady invariant of the $C^*$-algebra of the groupoid extension associated to a \v{C}ech $2$-cocycle in the sheaf of germs of continuous $G$-valued functions. We then exploit the blow-up construction for groupoids to extend this to some more general central extensions of \'etale equivalence relations

Energy innovation in Latin America: R&D effort, deployment, and capability accumulation

Ibero-America, just as the rest of the world, faces an increasing urgency to transform existing energy systems. In the past, incentives to develop energy systems were induced mainly by changes in demand (derived from industrialization and urbanization) and by price shocks in fuels. Diversification of energy sources followed a growing need of use of particular energy forms. For developing countries, innovating in energy systems meant fundamentally gaining control over natural resources and moving away from primary, export-oriented enclaves into industrial integration, as well as improving energy security. Today, however, environmental constraints and the pressing need to reduce energy poverty forge additional challenges and set new directions to change the ways in which we use and produce energy. Improving current technologies along the same trajectory is simply not enough. Fundamental changes must take place in our economic systems in order to combine energy efficiency with low-carbon, sustainable energy sources, for which new abilities and solutions need to be targeted.energy innovation; Latin America