Browse Dissertations and Theses - Mathematics by Title

• (2014-09-16)
This thesis covers four results: 1. We prove an analog of Whitney's embedding theorem for J-holomorphic discs. 2. For zj = xj + i*yj in C and let D_R^2 = {(z1, z2) in C^2 : x1^2 + x2^2 <1, y1^2 + y2^2 < 1} be the real ...

application/pdf

PDF (330kB)
• (1974)

application/pdf

PDF (1MB)
• (1997)
A complex analytic map f always decomposes the complex plane into two dis-joint subsets, the Julia set J(f) on which the family of iterates of f, $\{f\sp{k}\}\sbsp{k=0}{\infty}$, fails to be a normal family, and its ...

application/pdf

PDF (3MB)
• (1977)

application/pdf

PDF (2MB)
• (1972)

application/pdf

PDF (2MB)
• (2016-07-06)
A central result in algebraic combinatorics is the Littlewood-Richardson rule that governs products in the cohomology of Grassmannians. A major theme of the modern Schubert calculus is to extend this rule and its associated ...

application/pdf

PDF (6MB)
• (1962)

application/pdf

PDF (2MB)
• (2000)
We also study connections between strong reducibilities and properties of computably enumerable sets such as simplicity. We call a class S of computably enumerable sets bounded if there is an m-incomplete computably ...

application/pdf

PDF (5MB)
• (1969)

application/pdf

PDF (2MB)
• (1971)

application/pdf

PDF (2MB)
• (2013-02-03)
Let P be a lattice polytope in R^d, the convex hull of a finite set in Z^d, and let L(P) = P intersection Z^d = {v1,..., vN}, where N = |L(P)|. We call P a distinct pair-sum or dps polytope if L(P)+L(P) contains N + N ...

application/pdf

PDF (2MB)
• (1988)
Since Lorentz introduced Lorentz space, there have been several generalizations of this space. Hunt and Cwikel studied Lorentz L$\sb{\rm p,q}$ spaces and showed some basic properties such as the characterization of the ...

application/pdf

PDF (3MB)
• (1974)

application/pdf

PDF (2MB)
• (1970)

application/pdf

PDF (5MB)
• (2008)
Instead of focusing on the application, we are also interested in more theoretical setting. We discuss the conditions on density of the set of invertible (resp.: noninvertible) N x P matrices. Lastly we study the generalized ...

application/pdf

PDF (1MB)
• (2008)
For free random variables, we obtain even stronger version of the Law of the Iterated Logarithm: limsupn→infinity 1n i=1nxi≤ bau2s .

application/pdf

PDF (1MB)
• (1971)

application/pdf

PDF (3MB)
• (1992)
This research addresses algorithmic approaches for solving two different, but related, types of optimization problems. Firstly, the research considers the solution of a specific type of assignment problem using continuous ...

application/pdf

PDF (3MB)
• (1999)
The thesis obtains the Lefschetz-Reidemeister trace of a self-map as the image under a map of spaces whose domain is the K-theory of a ring with a bimodule and whose range is the Hochschild homology of the ring with the ...

application/pdf

PDF (5MB)
• (1973)

application/pdf

PDF (4MB)