This dissertation investigates the structure and topological properties of cyclicallypresented groups. First, a family of groups called groups of type Z is considered. Withfew exceptions, the finiteness, asphericity, fixed point, and 3-manifold spine problemsare solved. Most groups of type Z have a central element of infinite order fixed by theshift....
The main goal of this project is to implement an algorithmic music composition procedure and present all procedures and results in a reproducible fashion by creating a web application produced by R. To approach the implementation of the algorithmic composition of music, we start by exploring various models, but ultimately...
By using continued fractions the set of positive
irrationals can be put in one to one correspondence
with the set of sequences of positive integers. The
entries of an arbitrary sequence of integers can be any
subset of Z and each integer appearing can occur once,
infinitly often, or anything...
In this work we will analyze branching Brownian motion on a finite interval with oneabsorbing and one reflecting boundary, having constant drift rate toward the absorbingboundary. Similar processes have been considered by Kesten ([12]), and more recently byHarris, Hesse, and Kyprianou ([11]). The current offering is motivated largely by the...
Robotic global navigation is often based on the assumption that the world is static. It assumes that obstacles present in maps will be there later and new obstacles will be dealt with by a local planning algorithm. When robots interact in an environment inhabited by people, this assumption does not...
First, topological vector spaces are examined from a partial
order structure derived from neighborhood bases of the origin. This
structure is used to produce a minimal vector norm for every
Hausdorff locally convex space.
Then, topological vector spaces are examined to find translation
invariant measures with respect to which functions...