Browsing Mathematics - Ph.D. / Sc.D. by Title
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Browsing Mathematics - Ph.D. / Sc.D. by Title
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(Massachusetts Institute of Technology, 1962)
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(Massachusetts Institute of Technology, 2010)This thesis consists of two parts. In the first part, we start by investigating the classical permutohedra as Minkowski sums of the hypersimplices. Their volumes can be expressed as polynomials whose coefficients - the ...
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(Massachusetts Institute of Technology, 2001)Solar activity, as indexed by sunspots, has a cycle of length varying from about 9 to 13 years. Statisticians have fitted several models to predict sunspot numbers one year ahead. We instead focus on predicting the magnitudes ...
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(Massachusetts Institute of Technology, 2013)Capillary instability (Plateau-Rayleigh instability) has been playing an important role in experimental work such as multimaterial fiber drawing and multilayer particle fabrication. Motivated by complex multi-fluid geometries ...
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(Massachusetts Institute of Technology, 2000)
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(Massachusetts Institute of Technology, 2006)The Scott rank of a countable structure A, denoted sr(A), was observed by Nadel to be at most wA + 1, where wA4 is the least ordinal not recursive in A. Let T be weakly scattered and L(a,T) be E2-admissible. We give a ...
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(Massachusetts Institute of Technology, 2012)We generalize Zhu's theorem on modular invariance of characters of vertex operator algebras (VOAs) to the setting of vertex operator superalgebras (VOSAs) with rational, rather than integer, conformal weights. To recover ...
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(Massachusetts Institute of Technology, 2010)There are two algebras associated to a reductive Lie algebra g: the De Concini- Kac quantum algebra and the Kac-Moody Lie algebra. Recent results show that the principle block of De Concini -Kac quantum algebra at an odd ...
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 1998)
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(Massachusetts Institute of Technology, 2004)We construct and describe compactified moduli stacks of Azumaya algebras on a smooth projective morphism X [right arrow] S. These stacks are the algebro-geometric version of the (suitably compactified) stacks of principal ...
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(Massachusetts Institute of Technology, 2011)Fix integers n and b with n =/> 3 and 1 =/< b < n - 1. Let k be an algebraically closed field. Consider the moduli space X of hypersurfaces in P" of fixed degree I whose singular locus is at least b-dimensional. We prove ...
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(Massachusetts Institute of Technology, 2010)A zonotopal algebra is the quotient of a polynomial ring by an ideal generated by powers of linear forms which are derived from a zonotope, or dually it's hyperplane arrangement. In the case that the hyperplane arrangement ...
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(Massachusetts Institute of Technology, 2004)In this thesis we give a probabilistic proof of the Morse inequalities in the nondegenerate and degenerate case. For the nondegenerate case the kernel associated with the Witten Laplacian has an expression via the Malliavin ...
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 2007)Granular materials are common in everyday experience, but have long-resisted a complete theoretical description. Here, we consider the regime of slow, dense granular flow, for which there is no general model, representing ...
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(Massachusetts Institute of Technology, 1996)
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