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Some Real and Unreal Enumerative Geometry for Flag Manifolds
Build geometric shape numerical homotopy continuation algorithm
2014/12/29
We present a general method for constructing real solutions to some problems in enumerative geometry which gives lower bounds on the maximum number of real solutions. We apply this method to show that...
Enumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations, when the structure comes from geometry. Enumerative real algebraic geometry studies real ...
Toric Ideals, Real Toric Varieties, and the Algebraic Moment Map
Geometric modeling projective after surface after surface linear projection
2014/12/29
This is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling. We discuss projective toric varieties and their ideals, as well as real toric varieties. In ...
Maximally Inflected Real Rational Curves
Topology research plane curve schubert calculus curve the curve
2014/12/29
We introduce and begin the topological study of real rational plane curves, all of whose inflection points are real. The existence of such curves is a corollary of results in the real Schubert calculu...
Let dk,n and #k,n denote the dimension and the degree of the Grassmannian Gk,n, respectively. For each 1 ≤ k ≤ n−2 there are 2dk,n ·#k,n (a priori complex) k-planes in Pn tangent to dk,n general...
PERFECT FORMS OVER TOTALLY REAL NUMBER FIELDS
Quadratic minimum non-zero value integral vector the change of variables
2014/12/24
A rational positive-definite quadratic form is perfect if it can be reconstructed from the knowledge of its minimal nonzero value m and the finite set of integral vectors v such that f(v) = m. This co...
Relative Age Effect in Elite Sports:Methodological Bias or Real Discrimination?
Relative Age Effect Soccer Discrimination Bias
2010/3/9
Sport sciences researchers talk about a relative age effect when they observe a biased
distribution of elite athletes’ birthdates, with an over-representation of those born at the
beginning of the c...
STABILITY OF TWO FAMILIES OF REAL-TIME QUEUEING NETWORKS
Multiclass queueing networks deadlines,reneging stability fluid models fluid limits
2009/9/18
We study open multiclass queueing networks with renewal
arrival streams and general service time distributions. Upon arrival to the
network, customers from each class are assigned a random deadline...
On the Second-Order Correlation Function of the Characteristic Polynomial of a Real Symmetric Wigner Matrix
asymptotic behaviour Second-Order Correlation Function Symmetric Matrix
2009/3/20
We consider the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a real symmetric random matrix. Our main result is that the existing result for a rand...
Real time estimation in local polynomial regression，with application to trend-cycle analysis
Henderson filter trend estimation Musgrave asymmetric filters
2010/3/17
The paper focuses on the adaptation of local polynomial filters at
the end of the sample period.We show that for real time estimation of
signals (i.e., exactly at the boundary of the time support) w...
