# Browse Dissertations and Theses - Mathematics by Title

• (1991)
In this dissertation we study the representation of standard measures and contents via Loeb measures and the standard part map, extending previously known results to a nontopological setting. In addition, a characterization ...

application/pdf

PDF (4MB)
• (1994)
We are concerned with the problem of finding the least s for which every large natural number n admits a representation $n = x\sbsp{2}{2} + x\sbsp{3}{3} + \cdots + x\sbsp{s+1}{s+1}$, where the numbers $x\sb{i}$ are nonnegative ...

application/pdf

PDF (2MB)
• (1960)

application/pdf

PDF (2MB)
• (1961)

application/pdf

PDF (928kB)
• (1963)

application/pdf

PDF (1MB)
• (1971)

application/pdf

PDF (3MB)
• (1973)

application/pdf

PDF (3MB)
• (1992)
In this thesis the techniques of multifunction theory are applied to problems in optimization and equilibrium theory. First, fixed point index theory for multifunctions is used to extend a continuation result of F. E. ...

application/pdf

PDF (3MB)
• (1987)
Let G be a group and let n be an integer greater than 1. An n-tuple $({\rm x\sb1,\dots, x\sb{n}})$ of elements of G is said to be rewriteable if there is a nontrivial permutation $\sigma$ in Sym(n) such that ${\rm x\sb1\dots ... application/pdf PDF (3MB) • (2007) We describe a method for approximating the Mumford curve model O/Gamma of a given totally split hyperelliptic curve y2 = i=12g+2x-a i . Once the generators of the Schottky group Gamma are obtained, we also explain how ... application/pdf PDF (2MB) • (2014-05-30) Culler-Vogtmann Outer Space (denoted$\cv_N$) is the space of all free minimal discrete isometric actions of the free group of rank$N$($F_N$) on$\mathbb{R}$-trees,$T$. We say a subset$\Sigma \subseteq F_N\$ is ...

application/pdf

PDF (418kB)
• (2014-05-30)
In this thesis we consider strata of flat metrics coming from quadratic differentials (semi-translation structures) on surfaces of finite type. We provide a necessary and sufficient condition for a set of simple closed ...

application/pdf

PDF (471kB)
• (1965)

application/pdf

PDF (8MB)
• (1999)
Finally, a new proof of Winquist's identity which is essential for an elementary proof for Ramanujan's famous partition identity modulo 11, p(11n + 6) ≡ 0 (mod 11) is provided in the last part of the thesis.

application/pdf

PDF (4MB)
• (1972)

application/pdf

PDF (2MB)
• (2013-05-24)
Our first topic is the study of self-inversive polynomials. We establish sufficient conditions for self-inversive polynomials to have all zeros on the unit circle. We examine how such polynomials are used to generate further ...

application/pdf

PDF (728kB)
• (2015-07-06)
A longstanding problem in algebraic combinatorics is to find nonnegative combinatorial rules for the Schubert calculus of generalized flag varieties; that is, for the structure constants of their cohomology rings with ...

application/pdf

PDF (600kB)
• (1960)

application/pdf

PDF (2MB)
• (2000)
The notion of a saddle surface is well known in Euclidean space. In this work we extend the idea of a saddle surface to geodesically connected metric spaces. We prove that every energy minimizing surface in a nonpositively ...

application/pdf

PDF (3MB)
• (2011-08-26)
This thesis is to study the expected difference of the continuous supremum and discrete maximum of a Lévy process that is often used in finance. We will show that the expected difference is a quantity that highly depends ...

application/pdf

PDF (715kB)