890 research outputs found

    The Demand for Money Revisited

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    macroeconomics, demand for money

    Some Implications of Endogenous Stabilization Policy

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    macroeconomics, stabilization policy

    Comments and Discussion [Crowding Out or Crowding In? Economic Consequences of Financing Government Deficits]

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    macroeconomics, deficits, federal deficit, tax reduction, inflation, deflation

    Emergency Medicine Palliative Care Access (EMPallA): Preliminary Data from a Multi-Center Randomized Controlled Trial

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    Introduction: Emergency department (ED)-initiated palliative care has been shown to improve patient-centered outcomes in older adults with serious illnesses, but the optimal modality for providing such interventions is unknown. The EMPallA trial compares nurse-led, telephonic case management with specialty, outpatient palliative care on: 1) patient quality of life (QOL); 2) healthcare utilization; 3) loneliness and symptom burden; and 4) caregiver strain, QOL, and bereavement. Objective: Summarize preliminary demographic and QOL data for the EMPallA cohort. Methods: A pragmatic, parallel, two-arm randomized controlled trial is enrolling 1350 ED patients across 9 EDs over 3 years to compare the effectiveness of palliative care models. Eligible patients have end-stage heart failure, renal disease, chronic obstructive pulmonary disease (COPD), or cancer. Baseline data is collected at bedside using surveys. Functional Assessment of Cancer Therapy - General (FACT-G) QOL scores are rescaled into T-scores based on general US and cancer patient samples, standardized with mean 50 and standard deviation 10. Results: 138 patients enrolled from April 16 to October 16, 2018. Average age was 69 years; 55% were female, and 55% were white. Advanced cancer was most prevalent (48%), followed by heart failure (24%), COPD (23%), and end-stage renal disease (15%). Average FACT-G T-scores were 41 (general population) and 40 (cancer patients), which are below population means of 50 by more than 5, a clinically-meaningful difference. Discussion: This gender-balanced, racially-diverse cohort stands to benefit in QOL from palliative care. When trial enrollment and follow-up are complete, the impact of interventions can be assessed

    Toroidal automorphic forms, Waldspurger periods and double Dirichlet series

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    The space of toroidal automorphic forms was introduced by Zagier in the 1970s: a GL_2-automorphic form is toroidal if it has vanishing constant Fourier coefficients along all embedded non-split tori. The interest in this space stems (amongst others) from the fact that an Eisenstein series of weight s is toroidal for a given torus precisely if s is a non-trivial zero of the zeta function of the quadratic field corresponding to the torus. In this paper, we study the structure of the space of toroidal automorphic forms for an arbitrary number field F. We prove that it decomposes into a space spanned by all derivatives up to order n-1 of an Eisenstein series of weight s and class group character omega precisely if s is a zero of order n of the L-series corresponding to omega at s, and a space consisting of exactly those cusp forms the central value of whose L-series is zero. The proofs are based on an identity of Hecke for toroidal integrals of Eisenstein series and a result of Waldspurger about toroidal integrals of cusp forms combined with non-vanishing results for twists of L-series proven by the method of double Dirichlet series.Comment: 14 page

    Counting and effective rigidity in algebra and geometry

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    The purpose of this article is to produce effective versions of some rigidity results in algebra and geometry. On the geometric side, we focus on the spectrum of primitive geodesic lengths (resp., complex lengths) for arithmetic hyperbolic 2-manifolds (resp., 3-manifolds). By work of Reid, this spectrum determines the commensurability class of the 2-manifold (resp., 3-manifold). We establish effective versions of these rigidity results by ensuring that, for two incommensurable arithmetic manifolds of bounded volume, the length sets (resp., the complex length sets) must disagree for a length that can be explicitly bounded as a function of volume. We also prove an effective version of a similar rigidity result established by the second author with Reid on a surface analog of the length spectrum for hyperbolic 3-manifolds. These effective results have corresponding algebraic analogs involving maximal subfields and quaternion subalgebras of quaternion algebras. To prove these effective rigidity results, we establish results on the asymptotic behavior of certain algebraic and geometric counting functions which are of independent interest.Comment: v.2, 39 pages. To appear in Invent. Mat

    The Case of the Missing Money

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    macroeconomics, money demand

    From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond

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    The discovery of connections between the distribution of energy levels of heavy nuclei and spacings between prime numbers has been one of the most surprising and fruitful observations in the twentieth century. The connection between the two areas was first observed through Montgomery's work on the pair correlation of zeros of the Riemann zeta function. As its generalizations and consequences have motivated much of the following work, and to this day remains one of the most important outstanding conjectures in the field, it occupies a central role in our discussion below. We describe some of the many techniques and results from the past sixty years, especially the important roles played by numerical and experimental investigations, that led to the discovery of the connections and progress towards understanding the behaviors. In our survey of these two areas, we describe the common mathematics that explains the remarkable universality. We conclude with some thoughts on what might lie ahead in the pair correlation of zeros of the zeta function, and other similar quantities.Comment: Version 1.1, 50 pages, 6 figures. To appear in "Open Problems in Mathematics", Editors John Nash and Michael Th. Rassias. arXiv admin note: text overlap with arXiv:0909.491
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