## Search

Now showing items 1-8 of 8

#### Generalization of Ruderman's Problem to Imaginary Quadratic Fields

(2012-04-13)

In 1974, H. Ruderman posed the following question: If $(2^m-2^n)|(3^m-3^n)$, then does it follow that $(2^m-2^n)|(x^m-x^n)$ for every integer $x$? This problem is still open. However, in 2011, M. R. Murty and V. K. Murty ...

#### Moduli Spaces of K3 Surfaces with Large Picard Number

(2011-08-15)

Morrison has constructed a geometric relationship between K3 surfaces with large Picard number and abelian surfaces. In particular, this establishes that the period spaces of certain families of lattice polarized K3 surfaces ...

#### Homoclinic Points in the Composition of Two Reflections

(2013-09-17)

We examine a class of planar area preserving mappings and give a geometric condition that guarantees the existence of homoclinic points. To be more precise, let $f,g:R \to R$ be $C^1$ functions with domain all of $R$. ...

#### The Minimum Witt Index of a Graph

(2007-09-17)

An independent set in a graph G is a set of pairwise nonadjacent vertices, and the maximum size, alpha(G), of an independent set in G is called the independence number.
Given a graph G and weight matrix A of G with entries ...

#### Symmetry Transforms, Global Plasma Equilibria and Homotopy Analysis Method

(2010-08-25)

Magnetohydrodynamics (MHD) flows and equations have been the focus of a large number of researchers. Here a study of such flows and equations is presented.
The first chapter contains a brief introduction to Homotopy ...

#### Smooth Complete Intersections with Positive-Definite Intersection Form

(2012-10-16)

We classify the smooth complete intersections with positive-definite intersection form on their middle cohomology. There are two families. The first family are quadric hypersurfaces in P(4k+1) with k a positive integer. ...

#### Stability of Agreement in State-dependent Interaction Environments

(2013-07-02)

We study stochastic stability for a class of agreement dynamics and define two forms
of agreement which we call stochastic agreement and stochastic absolute agreement.
We identify conditions for a broad class of random, ...

#### Embeddings of flag manifolds and cohomological components of modules

(2011-08-23)

This thesis is a study in Representation Theory and Geometry. These two branches of mathematics have a fruitful interaction, with many applications to Physics and other sciences. Central objects of interest are homogeneous ...