## Search

Now showing items 1-10 of 27

#### Jacobian linearisation in a geometric setting

(IEEE, 2003)

Linearisation is a common technique in control applications, putting useful
analysis and design methodologies at the disposal of the control engineer.
In this paper, linearisation is studied from a differential ...

#### Transcendence of Various Infinite Series and Applications of Baker's Theorem

(2009-11-13)

We consider various infinite series and examine their arithmetic nature. Series of interest are of the form $$\sum_{n =0}^{\infty} \frac{f(n)A(n)}{B(n)}, \;\;\;\; \sum_{n \in \mathbb{Z}}\frac{f(n)A(n)}{B(n)}, \;\;\;\; ...

#### A Geometric Approach to Energy Shaping

(2009-09-02)

In this thesis is initiated a more systematic geometric exploration of energy shaping. Most of the previous results have been dealt wih particular cases and
neither the existence nor the space of solutions has been discussed ...

#### Minimal Presentations of Sofic Shifts and Properties of Periodic-Finite-Type Shifts

(2009-08-12)

Constrained codes have been used in data storage systems, such as magnetic tapes,
CD’s and DVD’s, in order to reduce the likelihood of errors by predictable noise.
The study of constrained codes is based on the study of ...

#### Topics in Combinatorics and Random Matrix Theory

(2009-09-27)

Motivated by the longest increasing subsequence problem, we examine sundry
topics at the interface of enumerative/algebraic combinatorics and random matrix theory.
We begin with an expository account of the increasing ...

#### Invariants of Modular Two-Row Groups

(2009-10-06)

It is known that the ring of invariants of any two-row group is Cohen-Macaulay.
This result inspired the conjecture that the ring of invariants of any two-row group is a complete intersection. In this thesis, we study ...

#### Some Advances in the Multitaper Method of Spectrum Estimation

(2009-02-09)

Four contributions to the multitaper method of applied spectrum estimation
are presented. These are a generalization of the multitaper
method of spectrum estimation to time-series possessing irregularly
spaced ...

#### Multitaper Methods for Time-Frequency Spectrum Estimation and Unaliasing of Harmonic Frequencies

(2009-02-05)

This thesis is concerned with various aspects of stationary and nonstationary time series analysis. In the nonstationary case, we study estimation of the Wold-Cram'er evolutionary spectrum, which is a time-dependent ...

#### Multitaper Higher-Order Spectral Analysis of Nonlinear Multivariate Random Processes

(2008-11-04)

In this work, I will describe a new statistical tool: the canonical bicoherence, which is a combination of the canonical coherence and the bicoherence. I will provide its definitions, properties, estimation by multitaper ...

#### Tilting objects in derived categories of equivariant sheaves

(2008-09-05)

We construct classical tilting objects in derived categories of equivariant sheaves on quasi-projective varieties,
which give equivalences with derived categories of modules over algebras. Our applications include a ...