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Equivariant Piecewise-Linear Topology and Combinatorial Applications
(2011)
For G a finite group, we develop some theory of G-equivariant piecewise-linear topology and prove characterization theorems for G-equivariant regular neighborhoods. We use these results to prove a conjecture of Csorba ...
Irreducible non-cuspidal characters of GSp(4,Fq)
(2011)
Admissible non--supercuspidal representations of GSp(4,F), where F is a local field of characteristic zero with an odd-ordered residue field Fq, have finite dimensional spaces of fixed vectors under the action of principal ...
Generating Simulation Relations for Certain Nonlinear Control Systems
(2011)
In this dissertation, we introduce a new algorithm for generating simulation relations between nonlinear control systems that are affine in inputs and disturbances and provide precise mathematical conditions ensuring that ...
HOLONOMY DISPLACEMENT OF CURVES IN BUNDLE SO(N)->SO_0(1,N)->H^n
(2011)
The Riemannian submersion π : SO_0(1,n) ->H^n is a principal bundle and its fiber at π (e) is the imbedding of SO(n) into SO_0(1,n) , where e is the identity of both SO_0(1,n) and SO(n). In this study, we associate ...
Snowflake Groups with Super-Exponential 2-dimensional Dehn Functions
(2011)
The objective of this paper is to combine the results of two papers to get a new result. The first paper is called \textit{Super-Exponential 2-Dimensional Dehn Functions} by Josh Barnard, Noel Brady and Pallavi Dani. In ...
An Exploration of the Transition to Graduate School in Mathematics
(2011)
This purpose of this research was to explore the transition to graduate school in mathematics--the struggles students face, the expectations they must meet, and the strategies they use to deal with this new chapter in their ...
SEPARATION AND FENCHEL-TYPE DUALITY THEOREMS FOR FUNCTIONS WITH INTEGER AND REAL VARIABLES
(2011)
The concepts of convex and concave functions are of critical importance in optimization theory. These concepts arise for both functions of real (that is, continuous) variables and functions of integer variables (that is, ...
Differences in Beliefs and Teaching Practices between International and U.S. Domestic Mathematics Teaching Assistants
(2011)
International Mathematics Teaching Assistants (MTAs) and U.S. domestic MTAs are an indispensable part of mathematics departments regarding teaching a substantial portion of undergraduate students. Because MTAs' beliefs are ...
ROOTS OF DEHN TWISTS
(2011)
Let C be a curve in a closed orientable surface F of genus g &ge 2 that separates F of genera gi, for i = 1,2. We study the set of roots in Mod(F) of the Dehn twist tC about C. All roots arise from pairs of Cni actions on ...
Estimation of Near Surface Tornadic Wind Speeds
(2011)
Modeling studies consistently demonstrate that the most violent winds in a tornadic vortex occur in the lowest tens of meters above the surface. These velocities are unobservable by radar platforms due to line of sight ...