## Search

Now showing items 21-30 of 311

#### Gabor Frames for Quasicrystals and K-theory

(2015)

We study the connection between Gabor frames for quasicrystals, the topology of the hull of a quasicrystal, and the K-theory of an associated twisted groupoid algebra. In particular, we construct a finitely generated ...

#### 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 ...

#### Finite Frames and Graph Theoretic Uncertainty Principles

(2015)

The subject of analytical uncertainty principles is an important field within harmonic analysis, quantum physics, and electrical engineering. We explore uncertainty principles in the context of the graph Fourier transform, ...

#### The Relative Lie Algebra Cohomology of the Weil Representation

(2015)

We study the relative Lie algebra cohomology of $\mathfrak{so}(p,q)$ with values in the Weil representation $\varpi$ of the dual pair $\mathrm{Sp}(2k, \R) \times \OO(p,q)$. Using the Fock model defined in Chapter ...

#### Twist-bulge derivatives and deformations of convex real projective structures on surfaces

(2015)

Let $S$ be a closed orientable surface with genus $g>1$ equipped with a convex $\mathbb{RP}^2$ structure. A basic example of such a convex $\mathbb{RP}^2$ structure on a surface $S$ is the one associated to a hyperbolic ...

#### 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 ...