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Now showing items 1-10 of 185

#### Torelli Actions and Smooth Structures on 4-manifolds

(2004-04-28)

In the theory of Artin presentations, a smooth four manifold is already determined by an Artin presentation of the fundamental group of its boundary.
Thus, one of the central problems in four dimensional smooth topology, ...

#### DISCRETE INVERSE CONDUCTIVITY PROBLEMS ON NETWORKS

(2006-04-30)

The purpose of this dissertation is to present a mathematical model of network tomography through spectral graph theory analysis. In this regard, we explore the properties of harmonic functions and eigensystems of Laplacians ...

#### Barker Sequences Theory and Applications

(2009)

A Barker sequence is a finite length binary sequence with the minimum possible aperiodic autocorrelation. Currently, only eight known Barker sequences exist and it has been conjectured that these are the only Barker ...

#### Pricing variance derivatives using hybrid models with stochastic interest rates

(2008-05-02)

In this thesis, the research focuses on the development and implementation of two hybrid models for pricing variance swaps and variance options. Some variance derivatives (i.e., variance swap) are priced using portfolios ...

#### Mathematical Problems Arising When Connecting Kinetic to Fluid Regimes

(2008-07-31)

In this dissertation we study two problems that are related to the question of how to obtain appropriate macroscopic descriptions of a gas from its microscopic formulation. Mathematically, fluid equations formulate the ...

#### Model Reduction for Nanoscale Stick-Slip Friction Using Proper Orthogonal Decomposition

(2006-12-14)

Advances in computing hardware and algorithms have led to molecular dynamical models being able to model more realist cases. In this paper, we focus on a special case of molecular dynamics as a starting example. The ...

#### Leveraged levy Processes as Models for Stock Prices

(2005-09-28)

We entertain the hypothesis that leverage considerations are relevant in describing the evolution of asset returns both statistically and risk neutrally. Adopting a constant elasticity of variance formulation in the context ...

#### Enumeration of Harmonic Frames and Frame Based Dimension Reduction

(2009)

We investigate two aspects of frame theory, one of a theoretical
nature, the other very much on the applied side. In the former, we
enumerate all harmonic frames of prime order, and develop partial
proofs concerning the ...

#### An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics: a staggered dissipation-control differencing algorithm.

(2006-08-01)

A new unsplit staggered mesh algorithm (USM) that solves multidimensional magnetohydrodynamics (MHD) on a staggered mesh is introduced and studied. Proper treatments of multidimensional flow problems are required for MHD ...

#### UNDERSTANDING AND TEACHING RATIONAL NUMBERS: A CRITICAL CASE STUDY OF MIDDLE SCHOOL PROFESSIONAL DEVELOPMENT

(2009)

A lot of money is spent each year on teacher professional development, but researchers and policymakers are still trying to determine what that investment yields in terms of improvements in teacher knowledge and practice. ...