Mathematics Scholarly Works: Recent submissions
Now showing items 261-280 of 283
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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) -
Using temporal averaging to decouple annual and nonannual information in AVHRR NDVI time series
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2003-11)As regularly spaced time series imagery becomes more prevalent in the remote sensing community, monitoring these data for temporal consistency will become an increasingly important problem. Long-term trends must be identified, ... -
An Exact Line Search method for solving generalized continuous-time algebraic Riccati equations
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1998-01)We present a Newton-like method for solving algebraic Riccati equations that uses Exact Line Search to improve the sometimes erratic convergence behavior of Newton's method. It avoids the problem of a disastrously large ... -
A Kiefer-Wolfowitz algorithm with randomized differences
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 1999-03)A Kiefer-Wolfowitz or simultaneous perturbation algorithm that uses either one-sided or two-sided randomized differences and truncations at randomly varying bounds is given in this paper. At each iteration of the algorithm ... -
The toric h-vectors of partially ordered sets
(AMER MATHEMATICAL SOC, 2000)An explicit formula for the toric h-vector of an Eulerian poset in terms of the cd-index is developed using coalgebra techniques. The same techniques produce a formula in terms of the ag h-vector. For this, another proof ... -
Existence, uniqueness, and parametrization of Lagrangian invariant subspaces
(SIAM PUBLICATIONS, 2002-05-10)The existence, uniqueness, and parametrization of Lagrangian invariant subspaces for Hamiltonian matrices is studied. Necessary and sufficient conditions and a complete parametrization are given. Some necessary and sufficient ... -
On doubly structured matrices and pencils that arise in linear response theory
(ELSEVIER SCIENCE INC, 2004-03-15)We discuss matrix pencils with a double symmetry structure that arise in the Hartree-Fock model in quantum chemistry. We derive anti-triangular condensed forms from which the eigenvalues can be read off. Ideally these would ... -
An SVD-like matrix decomposition and its applications
(ELSEVIER SCIENCE INC, 2003-07-15)A matrix S is an element of C-2m x 2m is symplectic if S J S* = J, where J= [(0)(-Im) (Im)(0)]. Symplectic matrices play an important role in the analysis and numerical solution of matrix problems involving the indefinite ... -
Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils
(SIAM PUBLICATIONS, 2002-07-09)We discuss the numerical solution of structured generalized eigenvalue problems that arise from linear- quadratic optimal control problems, H infinity optimization, multibody systems, and many other areas of applied ... -
Chaos expansion of heat equations with white noise potentials
(KLUWER ACADEMIC PUBL, 2002-02)The asymptotic behavior as t --> infinity of the solution to the following stochastic heat equations [GRAPHICS] is investigated, where w is a space-time white noise or a space white noise. The use of lozenge means that the ... -
General fractional multiparameter white noise theory and stochastic partial differential equations
(MARCEL DEKKER INC, 2004)We present a white noise calculus for d-parameter fractional Brownian motion B-H (x, omega); x is an element of R-d, omega is an element of Omega with general d-dimensional Hurst parameter H = (H-l,..., H-d) is an element ...
