Abstract We study the empirical measure LAn of the eigenvalues of non-normal square matrices of the form An = UnTnVn with Un,Vn independent Haar distributed on the unitary group and Tn real diagonal. We show that when the empirical measure of the eigenvalues of Tn converges, and Tn satisfies some technical conditions, LAn converges towards a rotationally invariant measure μ on the complex plane...

We introduce a new homological machine for the study of secondary geometric invariants. The objects, called spark complexes, occur in many areas of mathematics. The theory is applied here to establish the equivalence of a large family of spark complexes which appear naturally in geometry, topology and physics. These complexes are quite different. Some of them are purely analytic, some are simpl...

The gauge-mediated supersymmetry breaking mechanism is one of the most reliable scenario which naturally suppresses the large flavor changing neutral current and CP violation in the supersymmetric standard model. When the messenger fields have suitable B − L charges, the radiative correction naturally induces the Zee-like neutrino mass matrix, which provides tiny neutrino masses and large lepto...

Scholars have frequently mentioned the link between a group’s settlement pattern and its involvement in violent conflict. In this paper, I develop a computational model to examine this relationship in detail. I argue that the settlement pattern of a group has an impact on group mobilization, because it determines how quickly mobilization can spread from a few extremists to the entire group popu...

It is well-known that many words’ meanings vary depending on the context in which they are used. This phenomenon has proven difficult to model, and recent work (Klepousniotou, Titone, & Romero, 2008; Erk, McCarthy, & Gaylord, 2009; Brown, 2010) indicates that meaning-in-context varies in a manner much more subtle than would be represented by a dictionary, including reliable fine-grained intuiti...

In the context of a five–dimensional brane–world model motivated from heterotic M–theory, we develop a framework for potential–driven brane–world inflation. Specifically this involves a classification of the various background solutions of (A)dS5 type, an analysis of five–dimensional slow–roll conditions and a study of how a transition to the flat vacuum state can be realized. It is shown that ...

The paper develops a contracting model where the principal frames the contract when the agent is unaware of some contingencies, yet is aware that she may be unaware. We call the contract vague if the agent is still unaware of some contingencies after understanding the contract. We show that the optimal contract is vague if and only if the principal exploits the agent. Applying the model to an i...

Following an ‘Ansatz’ of Björner & Ziegler [BZ], we give an axiomatic development of finite sign vector systems that we call complex matroids. This includes, as special cases, the sign vector systems that encode complex arrangements according to [BZ], and the complexified oriented matroids, whose complements were considered by Gel’fand & Rybnikov [GeR]. Our framework makes it possible to study ...

1. ABSTRACT In the context of a university in a developing country, large class size and inadequate studio space have become the bane of graphic design educators. Students go through the process of ideation with limited lecturer-student interaction. The problem has been compounded by the introduction of information and communication technology (ICT), which should be used as an advantage rather ...

In this paper, we study the practice of overselling in a competitive environment where late arriving consumers value the good higher than early arriving ones but the former’s arrival is uncertain. We show that overselling is a dominant strategy for the firms. However, it can lead to a prisoners’ dilemma situation in which all firms are worse off overselling. We further show that only when deman...