2010 Publications

Technical Report 2010-1 [ PDF file ]

CURVES, KNOTS, AND TOTAL CURVATURE
CHARLES M. EVANS
Master’s Thesis under the driection of Dr. Jason Parsley

Technical Report 2010-2 [ Request file ]

CHOICE FUNCTIONS, DYNAMICS, AND EQUAL REPRESENTATION
KATHERINE M. DONADIO
Master’s Thesis under the driection of Dr. Kenneth S. Berenhaut

Technical Report 2010-3 [ Request file ]

A NEW ASYMPTOTIC EXPANSION FOR DISTRIBUTION OF SUMS OF RANDOM VARIABLES
JAMES CHERNESKY, JR.
Master’s Thesis under the driection of Dr. Kenneth S. Berenhaut

Technical Report 2010-4 [ PDF file ]

COMMUTATIVITY DEGREE OF FINITE GROUPS
Anna Castelaz
Master’s Thesis under the direction of Dr. James Kuzmanovich

Technical Report 2010-5 [ PDF file ]

A CAMPANOLOGICAL LOOK AT GROUPS, GRAPHS AND GENERATING SETS
MEGAN CREAM & DR. JIM KUZMANOVICH
(Senior Honors Thesis)

Technical Report 2010-6 [ PDF file ]

Schwarzschild Geometry of a Black Hole (The Schwarzschild Metric )
Louis Wonnell
(Senior Honors Thesis)

Technical Report 2010-7 [ PDF file ]

Computational Modeling of the Effects of Oxidative Stress on the IGF-1 Signaling Pathway in Human Articular Chondrocytes
Pamela F. Marcot, Jacquelyn S. Fetrow, Richard F. Loeser, Edward E. Allen
(Senior Honors Thesis)

Technical Report 2010-8 [ Request file ]

Global asymptotic stability for minimum difference equations
Berenhaut, K. S., Guy, R. T. and Barrett, C. L.
In press, Journal of Difference Equations and Applications

Technical Report 2010-9 [ Request file ]

An Optimal Bound for Inverses of Triangular Matrices with Monotone Entries
Berenhaut, K. S., Guy, R. T. and Vish, N. G.
In press, Linear and Multilinear Algebra

Technical Report 2010-10 [ Request file ]

Fibonacci-type piecewise linear recurrences and generalized Ramanujan-Nagell equations
Berenhaut, K. S., Magargee, E. M. and Stancil, B. J.
submitted

Technical Report 2010-11 [ Request file ]

Deviations of discrete distributions and a question of Mori
Berenhaut, K. S., Baxley, J. V. and Lyday, R. G.
submitted

Technical Report 2010-12 [ Request file ]

Stochastic orderings, folded beta distributions and fairness in coin flips
Berenhaut, K. S. and Bergen, L. D.
submitted

Technical Report 2010-13 [ Request file ]

Asymptotic behavior of solutions to difference equations involving ratios of elementary symmetric polynomials
Berenhaut, K. S. and Jones, A. H.
submitted

Technical Report 2010-14 [ Request file ]

Asymptotic behavior of solutions to minimum-maximum delay recurrences of higher-order
Berenhaut, K. S., Magargee, E. M. and Rabidoux, S. M.
submitted

Technical Report 2010-15 [ Link ]

Intrinsic symmetry groups of links with 8 and fewer crossings
Michael Berglund, Jason Cantarella, Meredith Perrie Casey, Ellie Dannenberg, Whitney George, Aja Johnson, Amelia Kelly, Al LaPointe, Matt Mastin, Jason Parsley, Jacob Rooney, Rachel Whitaker
submitted.

Technical Report 2010-16 [ Link ]

A student-run exit poll successfully predicts 2008 election results
Annalaissa Johnson, Andrew McCarty, Jason Parsley, and Robert Reinhard
submitted

Technical Report 2010-17 [ Request file ]

Stochastic orderings and folded beta distributions
Berenhaut, K. S. and Bergen, L. D.
Statistics and Probability Letters, In press.

Technical Report 2010-18 [ Request file ]

Fibonacci-type piecewise linear recurrences and generalized Ramanujan-Nagell equations
Berenhaut, K. S., Magargee, E. M. and Stancil, B. J.
Proceedings of The Fourteenth International Conference on Fibonacci Numbers and Their Applications, Accepted.

Technical Report 2010-19 [ Request file ]

A part-metric variant of Newton’s inequalities
Berenhaut, K. S., Jones, A. H.
Mathematical Inequalities and Applications, Accepted.

Technical Report 2010-20 [ Request file ]

Asymptotic behavior of solutions to minimum-maximum delay recurrences of higher order
Berenhaut, K. S., Magargee, E. M. and Rabidoux, S. M.
Proceedings of The Fourteenth International Conference on Fibonacci Numbers and Their Applications, Accepted.

Technical Report 2010-21 [ Request file ]

Asymptotic behavior of solutions to rational difference equations involving elementary symmetric polynomials
Berenhaut, K. S., Jones, A. H.
In press, Journal of Difference Equations and Applications.

Technical Report 2010-22 [ PDF file ]

Public Avoidance and Epidemics: Insights from an Economic Model
Frederick Chen, Miaohua Jiang, Scott Rabidoux, Stephen Robinson
submitted, Journal of Theoretical Biology

Technical Report 2010-23 [ Link ]

VARIATIONAL METHODS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
Carlos Tello
Master’s Thesis under the direction of Dr. Sarah Raynor