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Fixed Points and Periodic Points of Orientation Reversing Planar Homeomorphisms
(2010-07-20)
Topological dynamics on surfaces is studied. The primary objects of study are orientation reversing homeomorphisms of the plane, but most of the results apply also to the orientation reversing homeomorphisms of the 2-sphere. ...
Nonparametric Methods for Classification and Related Feature Selection Procedures
(2011-07-18)
One important application of gene expression microarray data is
classification of samples into categories, such as types of tumor.
Gene selection procedures become crucial since gene expression
data from DNA microarrays ...
Efficient Rank Regression with Wavelet Estimated Scores
(2011-07-07)
Wavelets have been widely used lately in many areas such as physics, astronomy, biological
sciences and recently to statistics. The main goal of this dissertation is to provide
a new contribution to an important problem ...
Gradient Flows, Convexity, and Adjoint Orbits
(2012-06-19)
This dissertation studies some matrix results and gives their Generalizations in the context of semisimple Lie groups. The adjoint orbit is the primary object in our study.
The dissertation consists of four chapters. ...
Cycle Systems
(2012-01-18)
In this dissertation the author has found the necessary and sufficient conditions for obtaining a 6-cycle system of the Cartesian product of two complete graphs covering 2-paths in the corresponding bipartite graph. She ...
A Robust Version of Hotelling's T2 Control Chart for Retrospective Location Analysis of Individuals Using BACON Estimators
(2012-02-13)
Hotelling's T2 chart is commonly used for Phase I analysis of individual multivariate normally distributed data. However, the presence of only a few outliers can significantly distort classical estimates of location and ...
Simple Techniques for Detecting Decomposability or Indecomposability of Generalized Inverse Limits
(2012-05-01)
A continuum X is said to be decomposable if it can be written as a union of two proper subcontinua; otherwise, X is said to be indecomposable. For years, topologists have used inverse limits with continuous bonding functions ...
Non-metric Continua that support Whitney maps
(2009-02-23)
An example of a non-metric continuum is constructed, where every non-degenerate subcontinuum is non-metric, that supports a Whitney
map. Additional non-metric examples are given and examinations of conditions under which ...
Stochastic Differential Equations: A Dynamical Systems Approach
(2008-09-09)
The relatively new subject of stochastic differential equations has increasing impor-
tance in both theory and applications. The subject draws upon two main sources, prob-
ability/stochastic processes and differential ...
On the existence of even and k-divisible-matchings
(2008-09-09)
The concept of an an even matching was first introduced by Billington and Hoffman.
They were used to find gregarious 4-cycle decompositions of $K_{8t(a),b}$ with a and b odd.
Their paper contains even matchings of type ...