Equivalence of the Sutherland Model to Free Particles on a Circle
A method is developed to construct the solutions of one and many variable, linear differential equations of arbitrary order. Using
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Hall's coherent states, the Cameron-Martin theorem, and the quantization of Yang-Mills theory on a circle
We discuss the classical and quantum reduction to the space of physical degrees of freedom of Yang--Mills theory on a
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The Statistical Distribution of the Zeros of Random Paraorthogonal Polynomials on the Unit Circle
We consider polynomials on the unit circle defined by the recurrence relation Φ_{k+1}(z) = z Φ_{k} (z) - \barα_{k} Φ_k^{*}(z)
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Return of the Torsion D-Branes
We study D-branes on Calabi-Yau manifolds, carrying charges which are torsion elements of the K-theory. Interesting physics ensues when we
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TASI Lectures on Non-BPS D-Brane Systems
In this set of lectures various properties of D-branes are discussed. After reviewing the basics, we discuss unstable D-brane/anti-D-brane systems,
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Partitioning Regular Polygons into Circular Pieces II:Nonconvex Partitions
We explore optimal circular nonconvex partitions of regular k-gons. The circularity of a polygon is measured by its aspect ratio:
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Quantum Field Theory and Representation Theory: A Sketch
A sketch is given of a circle of ideas relating quantum field theories with representation theory. The main mathematical ingredients
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M Theory Extensions of T Duality
T duality expresses the equivalence of a superstring theory compactified on a manifold K to another (possibly the same) superstring
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Distribution of dust and stars in the Galaxy
Using far-infrared 240 micron and near-infrared K band data from the COBE/DIRBE instrument, we model the Galactic stellar and dust
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Stress field around arbitrarily shaped cracks in two-dimensional elastic materials
The calculation of the stress field around an arbitrarily shaped crack in an infinite two-dimensional elastic medium is a mathematically
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Optimizing Observing Patterns in Cosmic Microwave Background Radiation Anisotropy Experiments
We consider several factors concerning the design of observing strategies in Cosmic Microwave Background (CMB) anisotropy experiments. First we consider
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