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A comparison of various influential points diagnostic methods and robust regression approaches: Reanalysis of interstitial lung disease data
robust regression methods local influence likelihood displacement
2010/9/25
In a linear regression model, the estimation of regression parameters by ordinary least squares method is affected by some anomalous points in the data set. Thus, detection of these abnormal points is...
Counting lattice points in compactified moduli spaces of curves
Counting lattice points compactified moduli spaces of curves
2011/3/1
We define and count lattice points in the moduli spaceMg,n of stable genus g curves with n labeled points.
On the $p$-adic closure of a subgroup of rational points on an Abelian variety
$p$-adic closure subgroup of rational points Abelian variety
2011/2/24
In 2007, B. Poonen (unpublished) studied the p{adic closure of a subgroup of rational points on a commutative algebraic group. More recently, J. Bellache asked the same question for the special case...
Approximate tail probabilities of the maximum of a chi-square field on multi-dimensional lattice points and their applications to detection of loci interactions
Approximate tail probabilities a chi-square field multi-dimensional lattice points
2011/1/4
Define a chi-square random field on a multi-dimensional lattice points index set with a direct-product covariance structure, and consider the distribution of the maximum of this random field. We provi...
Pencils of cubics with eight base points lying in convex position in $\mathbb{R}P^2$
Pencils of cubics eight base points convex position
2011/1/21
To a generic con guration of eight points in convex position in the plane, we associate a list consisting of the following information: for all of the 56 conics determined by ve of the points, we spe...
Categories of partial algebras for critical points between varieties of algebras
Partial algebra congruence relation gamp pregamp variety of algebras
2011/1/19
We denote by Conc A the (∨, 0)-semilattice of all finitely generated congruences of an algebra A. A lifting of a (∨, 0)-semilattice S is an algebra A such that S ∼=Conc A.
An automorphism of a Riemann surface will preserve its set of Weierstrass points. In this paper, we search for Riemann surfaces whose automorphism groups act transitively on the Weierstrass points. On...
The classes of the quasihomogeneous Hilbert schemes of points on the plane
the quasihomogeneous Hilbert schemes math
2010/11/23
In this paper we give a formula for the classes (in the Grothendieck ring of complex quasi-projective varieties) of irreducible components of $(1,k)$-quasi-homogeneous Hilbert schemes of points on th...
We obtain an upper bound for the derivative of a Blaschke product, whose zeros lie in a certain Stolz-type region. We show that the derivative belongs to the space of analytic functions in the unit di...
Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values
Bell polynomials Euler's constant zeta values
2010/11/22
In this paper, we present new explicit simultaneous rational approximations converging sub-exponentially to the values of Bell polynomials at the points of the form $(\gamma, 1! (2a+1)\zeta(2), 2!\zet...
Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization
Charged polymers attractive regime Brownian scaling four points localization
2010/11/11
We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperatu...
Density of rational points on elliptic curves and small transcendence degree
rational points elliptic curves
2010/11/19
In this paper we pursue two goals: (I) We show how Weil restrictions to real subfields can be fruitfully applied to improve transcendence results. (II) We elaborate (I) in the context of algebraic in...
On the number of Galois points for a plane curve in positive characteristic, IV
Galois points positive characteristic
2010/11/22
Let $C$ be a smooth plane curve of degree $d$. A point $P$ in the projective plane is said to be Galois with respect to $C$ if the function field extension induced from the point projection from $P$ ...
P. Kirchberger proved that, for a finite subset $X$ of $\mathbb{R}^{d}$ such that each point in $X$ is painted with one of two colors, if every $d+2$ or fewer points in $X$ can be separated along the...
Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
Inhomogeneous cubic congruences rational points del Pezzo surfaces
2010/11/22
For given non-zero integers a,b,q we investigate the density of integer solutions (x,y) to the binary cubic congruence ax^2+by^3=0 (mod q) and use it to establish the Manin conjecture for a singular d...