CMB Anisotropy in Compact Hyperbolic Universes I: Computing Correlation Functions

CMB anisotropy measurements have brought the issue of global topology of the universe from the realm of theoretical possibility to within the grasp of observations. The global topology of the universe modifies the correlation properties of cosmic fields. In particular, strong correlations are predicted in CMB anisotropy patterns on the largest observable scales if the size of the Universe is comparable to the distance to the CMB last scattering surface. We describe in detail our completely general scheme using a regularized method of images for calculating such correlation functions in models with nontrivial topology, and apply it to the computationally challenging compact hyperbolic spaces. Our procedure directly sums over images within a specified radius, ideally many times the diameter of the space, effectively treats more distant images in a continuous approximation, and uses Cesaro resummation to further sharpen the results. At all levels of approximation the symmetries of the space are preserved in the correlation function. This new technique eliminates the need for the difficult task of spatial eigenmode decomposition on these spaces. Although the eigenspectrum can be obtained by this method if desired, at a given level of approximation the correlation functions are more accurately determined. We use the 3-torus example to demonstrate that the method works very well. We apply it to power spectrum as well as correlation function evaluations in a number of compact hyperbolic (CH) spaces. Application to the computation of CMB anisotropy correlations on CH spaces, and the observational constraints following from them, are given in a companion paper.Comment: 27 pages, Latex, 11 figures, submitted to Phys. Rev. D, March 11, 199

Window Function for Non-Circular Beam CMB Anisotropy Experiment

We develop computationally rapid methods to compute the window function for a cosmic microwave background anisotropy experiment with a non-circular beam which scans over large angles on the sky. To concretely illustrate these methods we compute the window function for the Python V experiment which scans over large angles on the sky with an elliptical Gaussian beam.Comment: 27 pages, 5 figure

New frontiers in international strategy

This paper is based on a panel we organized at the "First Annual Conference on Emerging Research Frontiers in International Business Studies", organized by the Journal of International Business Studies (JIBS), to discuss several new lines of research in international strategy. Four lines of research are developed: The strategic implications of semiglobalization, the impact of institutional voids in international strategy, primitives and levels of analysis in international business, and strategies for the base of the pyramid. Taken together, these studies aim to open a new frontier in our understanding of International Strategy, based on the co-location of firms as places and a key element in international business.international business; semiglobalization; internal strategy; base pyramid; institutions; competitiveness;

Zinc-Catalyzed Guanylation Reaction of Amines to Carbodiimides/Isocyanate Leading to of Guanidines/Urea Derivatives Formation

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