Growth, debt, and sovereign risk in a small, open economy

The continuing debt crisis that many developing countries have faced in the current decade has underscored the need to understand the relationships between debt accumulation and growth, as well as the need to develop policy approaches that foster adjustment in the external account while maintaining the growth of output. The purpose of this paper is to develop a macroeconomic model for a small open developing economy that borrows abroad. This model will assist in studying the dynamic interaction between debt and growth, as well as the impact of various policies and exogenous shocks on the rate of capital accumulation, the current account and debt. From this analysis, the authors make the following conclusions. An upward shift in the supply of debt leads to a long run decline in external debt, a higher domestic interest rate, less capital stock, and a reduced trade surplus. An increase in the marginal cost of debt may or may not lower long run external debt as well. An increase in productivity raises the long run stock of capital but leaves the level of external debt and the interest rate unchanged in the long run. Finally, fiscal expansion has almost no effect in either the short run or the long run.Economic Theory&Research,Environmental Economics&Policies,Strategic Debt Management,Banks&Banking Reform,Financial Intermediation

Entanglement entropy in fermionic Laughlin states

We present analytic and numerical calculations on the bipartite entanglement entropy in fractional quantum Hall states of the fermionic Laughlin sequence. The partitioning of the system is done both by dividing Landau level orbitals and by grouping the fermions themselves. For the case of orbital partitioning, our results can be related to spatial partitioning, enabling us to extract a topological quantity (the `total quantum dimension') characterizing the Laughlin states. For particle partitioning we prove a very close upper bound for the entanglement entropy of a subset of the particles with the rest, and provide an interpretation in terms of exclusion statistics.Comment: 4+ pages, 3 figures. Minor changes in v

Entropy and Exact Matrix Product Representation of the Laughlin Wave Function

An analytical expression for the von Neumann entropy of the Laughlin wave function is obtained for any possible bipartition between the particles described by this wave function, for filling fraction nu=1. Also, for filling fraction nu=1/m, where m is an odd integer, an upper bound on this entropy is exhibited. These results yield a bound on the smallest possible size of the matrices for an exact representation of the Laughlin ansatz in terms of a matrix product state. An analytical matrix product state representation of this state is proposed in terms of representations of the Clifford algebra. For nu=1, this representation is shown to be asymptotically optimal in the limit of a large number of particles

Foreign body aspiration in adults.

Foreign body aspiration is not an uncommon problem, particularly in children, the elderly, and those with predisposing factors like neurological impairment. In adults, regional differences exist in the type of foreign body aspirated. We report four cases of foreign body aspiration in South Asian adults, three of which were related to the widespread habit of chewing stimulant seeds such as betel nuts (two) and tamarind seed (one). It is important for clinicians to maintain a high index of suspicion for the diagnosis of foreign body inhalation in the appropriate clinical setting. Bronchoscopy is necessary not only for the diagnosis but also for the removal of foreign body from the bronchial tree. Once the foreign body is removed, the improvement in symptoms is usually dramatic, making it rewarding for any physician to manage. Keywords: betel nut, bronchoscopy, foreign body aspiration, stimulant seeds, tamarind see

Self-Monitoring of Blood Pressure in Hypertension: A UK Primary Care Survey

This study aimed to determine the prevalence of Self-Monitoring Blood Pressure amongst people with hypertension using a cross-sectional survey. Of the 955 who replied (53%), 293 (31%) reported that they self-monitored blood pressure. Nearly 60% (198/331) self-monitored at least monthly. Diabetic patients monitoring their blood glucose were five times more likely than those not monitoring to monitor their blood pressure. Self-monitoring is less common in the UK than internationally, but is practiced by enough people to warrant greater integration into clinical practice

Krylov Complexity for Jacobi Coherent States

We develop computational tools necessary to extend the application of Krylov complexity beyond the simple Hamiltonian systems considered thus far in the literature. As a first step toward this broader goal, we show how the Lanczos algorithm that iteratively generates the Krylov basis can be augmented to treat coherent states associated with the Jacobi group, the semi-direct product of the 3-dimensional real Heisenberg-Weyl group $H_{1}$, and the symplectic group, $Sp(2,\mathbb{R})\simeq SU(1,1)$. Such coherent states are physically realized as squeezed states in, for example, quantum optics. With the Krylov basis for both the $SU(1,1)$ and Heisenberg-Weyl groups being well understood, their semi-direct product is also partially analytically tractable. We exploit this to benchmark a scheme to numerically compute the Lanczos coefficients which, in principle, generalizes to the more general Jacobi group $H_{n}\rtimes Sp(2n,\mathbb{R})$.Comment: 19+2 pages and appendice