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Browse Dissertations and Theses  Mathematics by Title
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(1982)Forelli has shown that every linear isometry T from H('p) onto H('p),1 (LESSTHEQ) p < (INFIN), p (NOT=) 2, is of the form Tf = (nu)((phi)')('1/p)f(CCIRC)(phi), where (nu) is a unimodular constant and (phi) is in M, the ...
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(1997)A stochastic flow is constructed on a frame bundle adapted to a Riemannian foliation on a compact manifold. The generator A of the resulting transition semigroup is shown to preserve the basic functions and forms, and there ...
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(2006)We consider the KuramotoSivashinsky equation in one dimension with periodic boundary conditions. We apply a Lyapunov function argument similar to the one first introduced by Nicolaenko, Scheurer, and Temam, and later ...
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(2007)Secondly, we use algebraic functions with two poles to obtain efficient secret sharing schemes. We present a method to find the lower bounds for the minimum distance of geometric codes. We apply this to the twopoint codes ...
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(20170405)This thesis explores three main topics in the application of ergodic theory and dynamical systems to equidistribution and spacing statistics in number theory. The first is concerned with utilizing the ergodic properties ...
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(20170407)In the first part of this thesis, we will discuss the classical XY model on complete graph in the meanfield (infinitevertex) limit. Using theory of large deviations and Stein's method, in particular, Cramér and Sanovtype ...
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(2009)Here we provide a simple outline of the contents of this dissertation.
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(20170406)In the first part of this thesis, we will follow Kirchberg’s categorical perspective to establish new notions of WEP and QWEP relative to a C∗algebra, and develop similar properties as in the classical WEP and QWEP. Also ...
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(1987)The Schur complement of a linear operator on a finite dimensional Hilbert space is discussed and six generalizations are presented. Conditions are established under which these generalizations are equivalent. The infinite ...
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(20160615)We investigate the arithmetic properties of coefficients of Maass forms in three contexts. First, we discuss connections to invariants of real and imaginary quadratic fields, expanding on the work of Zagier and DukeImamogluToth. ...
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(20100514)Integer partitions play important roles in diverse areas of mathematics such as qseries, the theory of modular forms, representation theory, symmetric functions and mathematical physics. Among these, we study the arithmetic ...
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(1992)In this thesis we develop new techniques to work with small cancellation theory diagrams for Artin groups. Using these techniques we examine paths in the Cayley graph of the Artin group. For any Artin group G, with semigroup ...
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(1985)This paper deals with three subjects in set theory. Chapter I concerns a categorical representation of measurable cardinals. The result answers Girard's presumption "The solution to make the order relation between ...
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Now showing items 4160 of 1104