There have been many theories about the paradoxes of numbers, but this is far
and away more paradoxical than most. In this paper we will present the Zoli
Numbers which have some innovative characteristics. The basic concept of these
numbers...
Stabilization phenomena in Kac-Moody algebras and quiver varieties
May 30, 2005
Mathematics
Representation Theory
Let X be the Dynkin diagram of a symmetrizable Kac-Moody algebra, and X_0 a
subgraph with all vertices of degree 1 or 2. Using the crystal structure on the
components of quiver varieties for X, we show that if we expand X by extending
X_0, ...
Energy Complexity of Software in Embedded Systems
May 2, 2005
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Physics
Adaptation and Self-Organizing Systems
The importance of low power consumption is widely acknowledged due to the
increasing use of portable devices, which require minimizing the consumption of
energy. The energy in a computational system depends heavily on the software
being exe...
On Gracefully Labeling Trees
March 23, 2005
Mathematics
General Mathematics
In this paper, we propose an algorithm to generate all possible graceful
graphs (including trees) containing n vertices as lattice paths in a certain
triangular lattice defined below. This lattice that corresponds to graphs
containing n ver...
Classical Electrodynamics in Quasi-Metric Space-Time
March 26, 2003
Physics
General Relativity and Quantum Cosmology
The quasi-metric manifold N is equipped with two one-parameter
families of metric tensors gˉt and gt, each
parametrized by the global time function t. Moreover, in (N,gˉt) one must defi...
Lattice structure for orientations of graphs
September 1, 2002
Mathematics
Combinatorics
Earlier researchers have studied the set of orientations of a connected
finite graph G, and have shown that any two such orientations having the same
flow-difference around all closed loops can be obtained from one another by a
succession...
Spherically Symmetric, Metrically Static, Isolated Systems in
Quasi-Metric Gravity
January 31, 2002
Physics
General Relativity and Quantum Cosmology
The gravitational field exterior respectively interior to a spherically
symmetric, isolated body made of perfect fluid is examined within the
quasi-metric framework (QMF). It is required that the gravitational field is
"metrically static", ...
Bosonisation as the Hubbard-Stratonovich Transformation
December 14, 2001
Physics
Strongly Correlated Electrons
The purpose of this Lecture is to demonstrate how the well-known results on
Luttinger Liquid can be obtained with the use of the coherent state integral....
Quasi-Metric Relativity
December 11, 2001
Physics
General Relativity and Quantum Cosmology
This is a survey of a new type of relativistic space-time framework; the
so-called quasi-metric framework. The basic geometric structure underlying
quasi-metric relativity is quasi-metric space-time; this is defined as a
4-dimensional diffe...
A Non-Metric Approach to Space, Time and Gravitation
November 29, 2001
Physics
General Relativity and Quantum Cosmology
In this thesis, a non-standard geometric framework, the "quasi-metric"
framework (QMF), is used to define relativistic space-time. The QMF consists of
a 4-dimensional space-time manifold equipped with two one-parameter families of
Lorentzia...