ATTENTION: The software behind KU ScholarWorks is being upgraded to a new version. Starting July 15th, users will not be able to log in to the system, add items, nor make any changes until the new version is in place at the end of July. Searching for articles and opening files will continue to work while the system is being updated.
If you have any questions, please contact Marianne Reed at mreed@ku.edu .
Mathematics: Recent submissions
Now showing items 421-440 of 462
-
Classification of Ding's Schubert Varieties: Finer Rook Equivalence
(Canadian Mathematical Society, 2007-02)K.~Ding studied a class of Schubert varieties in type A partial flag manifolds, indexed by integer partitions \lambda and in bijection with dominant permutations. He observed that the Schubert cell structure of X_\lambda ... -
Some topics on the fractional Brownian motion and stochastic partial differential equations
(University of Kansas, 2010-04-25)In this dissertation, we investigate some problems in fractional Brownian motion and stochastic partial differential partial differential equations driven by fractional Brownian motion and Hilbert space valued Wiener ... -
The Mathieu group M12 and the M13 game
(A.K. Peters, Ltd., 2006) -
Ruling out (160,54,18) difference sets in some nonabelian groups
(John Wiley & Sons, 2000-07) -
Rigidity theory for matroids
(European Mathematical Society, 2007)Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint frameworks in Rd in terms of the structure of the underlying graph G. The goal of this article is to broaden the foundations of ... -
Random geometric graph diameter in the unit ball
(Springer Verlag, 2007-04) -
On the topology of graph picture spaces
(Elsevier, 2005-03) -
Harmonic algebraic curves and noncrossing partitions
(Springer Verlag, 2007-02)Motivated by Gauss’s first proof of the fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bounded components; its topology is determined ... -
Factorizations of some weighted spanning tree enumerators
(Elsevier, 2003-11)We give factorizations for weighted spanning tree enumerators of Cartesian products of complete graphs, keeping track of fine weights related to degree sequences and edge directions. Our methods combine Kirchhoff's Matrix-Tree ... -
Cyclotomic and simplicial matroids
(Springer Verlag, 2005-12)We show that two naturally occurring matroids representable over ℚ are equal: thecyclotomic matroid µn represented by then th roots of unity 1, ζ, ζ2, …, ζn-1 inside the cyclotomic extension ℚ(ζ), and a direct sum of copies ... -
On distinguishing trees by their chromatic symmetric functions
(Elsevier, 2008-02) -
Geometry of graph varieties
(American Mathematical Society, 2003)A picture P of a graph G = (V,E) consists of a point P(v) for each vertex v ∈ V and a line P(e) for each edge e ∈ E, all lying in the projective plane over a field k and subject to containment conditions corresponding ... -
The slopes determined by n points in the plane
(Duke University Press, 2006) -
Simplicial matrix-tree theorems
(American Mathematical Society, 2009)We generalize the definition and enumeration of spanning trees from the setting of graphs to that of arbitrary-dimensional simplicial complexes Δ, extending an idea due to G. Kalai. We prove a simplicial version of the ... -
Updown numbers and the initial monomials of the slope variety
(International Press, 2009) -
A Central Limit Theorem for Functionals of Gaussian Processes
(University of Kansas, 2009-12-10)The aim of this thesis is to study and show, as described in the works of Nualart, that a sequence of functionals of Gaussian processes that belongs to a Wiener chaos of fixed order converges in distribution to a standard ... -
Approximating Artinian Rings by Gorenstein Rings and 3-Standardness of the Maximal Ideal
(University of Kansas, 2009-07-23)We study two different problems in this dissertation. In the first part, we wish to understand how one can approximate an Artinian local ring by a Gorenstein Artin local ring. We make this notion precise in Chapter 2, by ... -
A Study of Vandermonde-like Matrix Systems With Emphasis on Preconditioning and Krylov Matrix Connection.
(University of Kansas, 2009-06-11)The study focuses primarily on Vandermonde-like matrix systems. The idea is to express Vandermonde and Vandermonde-like matrix systems as the problems related to Krylov Matrices. The connection provides a different angle ... -
Linear and multilinear fractional operators: weighted inequalities, sharp bounds, and other properties
(University of Kansas, 2009-04-27)In this work we consider various fractional operators, including the classical fractional integral operators, related fractional maximal functions, multilinear fractional integral operators, and multisublinear fractional ... -
SOME NEW DEVELOPMENTS ON TWO SEPARATE TOPICS: STATISTICAL CROSS VALIDATION AND FLOODPLAIN MAPPING
(University of Kansas, 2008-08-06)This dissertation describes two unrelated threads of research. The first is a study of cross validation (CV), which is a data resampling method. CV is used for model ranking in model selection and for estimating expected ...