534 research outputs found
Solving the Schrödinger equation with use of 1/N perturbation theory
The large N expansion provides a powerful new tool for solving the Schrödinger equation. In this
paper, we present simple recursion formulas which facilitate the calculation. We do some numerical calculations which illustrate the speed and accuracy of the technique
Developed Country Trade Barriers and the Least Developed Countries: The Economic Results of Freeing Trade
Least Developed Countries, Generalized System of Preferences, Doha Round
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International Trade and Wage Inequality in the United States: Some New Results
This paper shows that theory and evidence are more supportive of the link between increasing trade with developing countries and increasing U.S. wage inequality than recent criticisms have led many to believe. Much of the current debate focuses on the idea that relative goods prices must change for relative wages to change. The paper first demonstrates several additional channels through which an expansion of North-South trade causes a fall in the relative wage of unskilled workers in the North, even when there are no changes in relative output prices. It then explores the wage implications of a counterfactual in which U.S. trade with developing countries in 1990 remains the same as that in 1978. Changes in trade with developing countries are shown to have widened wages between low-skilled and high-skilled workers by 3.4 to 5.4 percent. Finally, it investigates changing relative prices and finds strong evidence that, in fact, from 1978 to 1995, value added and output prices in unskilled-intensive manufacturing sectors fell considerably relative to prices in skill-intensive manufacturing sectors
Stratifying quotient stacks and moduli stacks
Recent results in geometric invariant theory (GIT) for non-reductive linear
algebraic group actions allow us to stratify quotient stacks of the form [X/H],
where X is a projective scheme and H is a linear algebraic group with
internally graded unipotent radical acting linearly on X, in such a way that
each stratum [S/H] has a geometric quotient S/H. This leads to stratifications
of moduli stacks (for example, sheaves over a projective scheme) such that each
stratum has a coarse moduli space.Comment: 25 pages, submitted to the Proceedings of the Abel Symposium 201
Principles for language tests within the 'discourse domains' theory of interlanguage: research, test construction and interpretation
This article considers an alternative framework for handling the language testing enterprise and proposes some tentative theoretical hypotheses concerning principles of language testing. It is the writers' view that taking account of the perspective of interlanguage domain engagement and contextualization in testing research, production and interpretation allows for a richer conceptualization of the language testing process.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/69012/2/10.1177_026553228500200208.pd
Applications of patching to quadratic forms and central simple algebras
This paper provides applications of patching to quadratic forms and central
simple algebras over function fields of curves over henselian valued fields. In
particular, we use a patching approach to reprove and generalize a recent
result of Parimala and Suresh on the u-invariant of p-adic function fields, for
p odd. The strategy relies on a local-global principle for homogeneous spaces
for rational algebraic groups, combined with local computations.Comment: 48 pages; connectivity now required in the definition of rational
group; beginning of Section 4 reorganized; other minor change
Measures on Banach Manifolds and Supersymmetric Quantum Field Theory
We show how to construct measures on Banach manifolds associated to
supersymmetric quantum field theories. These measures are mathematically
well-defined objects inspired by the formal path integrals appearing in the
physics literature on quantum field theory. We give three concrete examples of
our construction. The first example is a family of measures on a
space of functions on the two-torus, parametrized by a polynomial (the
Wess-Zumino-Landau-Ginzburg model). The second is a family \mu_\cG^{s,t} of
measures on a space \cG of maps from to a Lie group (the
Wess-Zumino-Novikov-Witten model). Finally we study a family
of measures on the product of a space of connection s on the trivial principal
bundle with structure group on a three-dimensional manifold with a
space of \fg-valued three-forms on
We show that these measures are positive, and that the measures
\mu_\cG^{s,t} are Borel probability measures. As an application we show that
formulas arising from expectations in the measures \mu_\cG^{s,1} reproduce
formulas discovered by Frenkel and Zhu in the theory of vertex operator
algebras. We conjecture that a similar computation for the measures
where is a homology three-sphere, will yield the
Casson invariant of Comment: Minor correction
Managed Aquifer Recharge as a Tool to Enhance Sustainable Groundwater Management in California
A growing population and an increased demand for water resources have resulted in a global trend of groundwater depletion. Arid and semi-arid climates are particularly susceptible, often relying on groundwater to support large population centers or irrigated agriculture in the absence of sufficient surface water resources. In an effort to increase the security of groundwater resources, managed aquifer recharge (MAR) programs have been developed and implemented globally. MAR is the approach of intentionally harvesting and infiltrating water to recharge depleted aquifer storage. California is a prime example of this growing problem, with three cities that have over a million residents and an agricultural industry that was valued at 47 billion dollars in 2015. The present-day groundwater overdraft of over 100 km3 (since 1962) indicates a clear disparity between surface water supply and water demand within the state. In the face of groundwater overdraft and the anticipated effects of climate change, many new MAR projects are being constructed or investigated throughout California, adding to those that have existed for decades. Some common MAR types utilized in California include injection wells, infiltration basins (also known as spreading basins, percolation basins, or recharge basins), and low-impact development. An emerging MAR type that is actively being investigated is the winter flooding of agricultural fields using existing irrigation infrastructure and excess surface water resources, known as agricultural MAR. California therefore provides an excellent case study to look at the historical use and performance of MAR, ongoing and emerging challenges, novel MAR applications, and the potential for expansion of MAR. Effective MAR projects are an essential tool for increasing groundwater security, both in California and on a global scale. This chapter aims to provide an overview of the most common MAR types and applications within the State of California and neighboring semi-arid regions
Coordinated optimization of visual cortical maps (II) Numerical studies
It is an attractive hypothesis that the spatial structure of visual cortical
architecture can be explained by the coordinated optimization of multiple
visual cortical maps representing orientation preference (OP), ocular dominance
(OD), spatial frequency, or direction preference. In part (I) of this study we
defined a class of analytically tractable coordinated optimization models and
solved representative examples in which a spatially complex organization of the
orientation preference map is induced by inter-map interactions. We found that
attractor solutions near symmetry breaking threshold predict a highly ordered
map layout and require a substantial OD bias for OP pinwheel stabilization.
Here we examine in numerical simulations whether such models exhibit
biologically more realistic spatially irregular solutions at a finite distance
from threshold and when transients towards attractor states are considered. We
also examine whether model behavior qualitatively changes when the spatial
periodicities of the two maps are detuned and when considering more than 2
feature dimensions. Our numerical results support the view that neither minimal
energy states nor intermediate transient states of our coordinated optimization
models successfully explain the spatially irregular architecture of the visual
cortex. We discuss several alternative scenarios and additional factors that
may improve the agreement between model solutions and biological observations.Comment: 55 pages, 11 figures. arXiv admin note: substantial text overlap with
arXiv:1102.335
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