We examine the inverse problem of determining the shape of some unknown portion of the boundary of a region Ω from measurements of the Cauchy data for solutions to the heat equation on Ω. By suitably linearizing the inverse problem we obtain uniqueness and continuous dependence results. We propose an algorithm for recovering estimates of the unknown portion of the surface and use the insight ga...

We consider the inverse problem of determining the shape of some inaccessible portion of the boundary of a region in n dimensions from Cauchy data for the heat equation on an accessible portion of the boundary. The inverse problem is quite ill-posed, and nonlinear. We develop a Newton-like algorithm for solving the problem, with a simple and efficient means for computing the required derivative...

We discuss the chiral corrections to fB and BB with particular emphasis on determining the portion of the correction that arises from long distance physics. For very small pion and kaon masses all of the usual corrections are truly long distance, while for larger masses the long distance portion decreases. These chiral corrections have been used to extrapolate lattice calculations towards the p...

We consider the inverse problem of determining the shape of some inaccessible portion of the boundary of a region in n dimensions from Cauchy data for the heat equation on an accessible portion of the boundary. The inverse problem is quite ill-posed, and nonlinear. We develop a Newton-like algorithm for solving the problem, with a simple and efficient means for computing the required derivative...

Most matching models of the marriage market assume increasing returns to scale, that is, they postulate that a larger pool of eligibles will lead to a higher marriage rate. Empirically, the difficulty in studying the cross-section relationship between the size of the marriage market and marriage behavior is that, in general, market size is endogenous. We address this issue in two ways. First, w...

We describe a technique for comparing distributions without the need for density estimation as an intermediate step. Our approach relies on mapping the distributions into a Reproducing Kernel Hilbert Space. We apply this technique to construct a two-sample test, which is used for determining whether two sets of observations arise from the same distribution. We use this test in attribute matchin...

Much empirical evidence shows that female and male partners look alike along a variety of attributes. It is however unclear how this positive sorting comes about, because marriage is an equilibrium outcome arising from a process that entails searching, meeting and choosing one another. This study takes advantage of a unique data set to shed light on the forces driving choices at the earliest st...

The neuroanatomical data given here reveal a dense projection from the rostral pole of the cat inferior colliculus (rpIC) to the superior colliculus (SC). A portion of this pathway distributes in 'patches' across the ventral portion of the intermediate grey layer. These finding suggest that the rpIC input to the SC might play a role in determining the auditory receptive fields of SGI neurons an...

In this paper, we consider various problems concerning quasi-matchings and semimatchings in bipartite graphs, which generalize the classical problem of determining a perfect matching in bipartite graphs. We prove a vast generalization of Hall’s marriage theorem, and present an algorithm that solves the problem of determining a lexicographically minimum g-quasi-matching (that is a set F of edges...

The marriage market is a dynamic bilateral matching market with finitely lived participants. The growth rate of the number of marriages between two types of individuals estimates the systematic benefit to them delaying marriage for a period versus marrying immediately. Identification of the semi-parametric model is transparent. The model is estimated with 1990 US marriage data. The estimated mo...