Special Topics in Information Technology

Topics in Special Functions

In this article, we solve the connection problem of the Hermite polynomi-als with the classical continuous orthogonal polynomials belonging to Askey scheme, using the hypergeometric functions method combined is with the work the Fields and Ismail.

Special Topics in Graph Theory

This three part lecture series is based primarily on the book Elementary Number Theory, Group Theory, and Ramanujan Graphs by Davidoff, Sarnak, and Valette. I will discuss background information and the explicit construction of (p+ 1)-regular Ramanujan graphs by Lubotzky-Phillips-Sarnak and Margulis, where p is an odd prime. 1. Basic definitions and results We start with some basic definitions ...

Griffith University School of Computing and Information Technology CIT 6116 Advanced Topics in Information Systems

Topics in Quantum Information Theory

Bit strings are the simplest possible way of encoding information, which is why it is the most common representation of information in information theory. The Hamming space of dimension n is the space of bit strings of length n, denoted as {0, 1}n. It is a discrete space with 2 points, which can be mapped to the vertices of an n-dimensional hypercube. By moving along an edge of this hypercube w...

Advanced Topics in Information Dynamics

This work is sequel to the book ”A Treatise in Information Geometry”, submitted to vixra in late 2009. The aim of this dissertation is to continue the development of fractal geometry initiated in the former volume. This culminates in the construction of first order self-referential geometry, which is a special form of 8-tensor construction on a differential manifold with nice properties. The as...