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(20140530)In this work, we prove effective decay of certain multiple correlation coefficients for Weyl chamber actions of semidirect products of semisimple groups with $G$vector spaces. Using these estimates we get decay for ...
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(1993)Ramsey's Theorem states that if $P = \{C\sb1,\...,C\sb{n}\}$ is a partition of ($\omega\rbrack\sp{k}$ (the set of all unordered ktuples of natural numbers) into finitely many classes, then there exists an infinite set A ...
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(1995)We establish a quadratic time algorithm for the word problem and a cubic time algorithm for the conjugacy problem for Coxeter groups of large type. We also give conditions on the relators of a largetype Coxeter group that ...
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(1989)Representations of meromorphic functions as quotients of analytic functions have been studied for years. Miles showed that any meromorphic function f can be written as f$\sb1$/f$\sb2$ where each f$\sb{\rm j}$ is entire and ...
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(2004)Chapter 4 is devoted to finding new partition identities inspired by the work of O. Kolberg and S. Ramanujan. We use functions studied by N. J. Fine and R. J. Evans to construct analogues of modular equations, and then ...
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(20160714)In this dissertation, we will focus on a few problems in extremal graph theory. The first chapter consists of some basic terms and tools. In Chapter 2, we study a conjecture of Mader on embedding subdivisions of cliques. ...
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(2003)The third part contains some applications, among them Hilberttype inequalities and inequalities of the form fx ≤cnsupy∈ Rfn y for bounded functions f with a spectral gap at the origin.
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(1995)A ribbon knot is one which bounds a certain type of singular disk in the 3sphere. In this work we investigate an enumeration procedure for such disks and study a natural topological grouping of related ribbons which differ ...
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(20120918)This thesis consists of three parts. In the first part, we compute the topological Euler characteristics of the moduli spaces of stable sheaves of dimension one on the total space of rank 2 bundle on P1 whose determinant ...
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(1987)Let K be a number of field with ring of integers o, and let G be a fixed finite group. If K$\sb\pi$ is a tame Galois Gextension, the integral closure ${\cal O}\sb\pi$ of o in K$\sb\pi$ is a locally free rank one oGmodule, ...
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(2002)We explicitly characterize the family of networks for which such a protocol exists. This characterization is given in terms of forbidden rooted minors, which leads to a linear time recognition algorithm for this family of ...
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(20171128)The equivariant 𝔼∞G operad has the property that 𝔼∞G(n) is the total space for the Gequivariant universal principal Σn bundle. There is a forgetful functor from 𝔼∞Galgebras to 𝔼∞algebras, where 𝔼∞ is the classic ...
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(2004)We classify embeddings of algebraic groups as open orbits in affine varieties, generalizing results from toric geometry to connected reductive groups. In particular, we show that an embedding is determined by the set of ...
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(20130524)We improve the error term in the van der Corput transform for exponential sums, \sum g(n) exp(2 \pi i f(n)). For many smooth functions g and f, we can show that the largest factor of the error term is given by a simple ...
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(20170719)My dissertation consists of two essays which analyze the impact of public transit usage on obesity. Chapter 1 introduces the backgrounds of this field and layout the general framework of this thesis work. Chapter 2 ...
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Now showing items 276295 of 1107