Browsing Publications  Mathematics, Statistics, and Computer Science by Title
Now showing items 120 of 190

4free groups and hyperbolic geometry
(Oxford University Press, 201202)We give new information about the geometry of closed, orientable hyperbolic 3manifolds with 4free fundamental group. As an application we show that such a manifold has volume greater than 3.44. This is in turn used to ... 
An Algebraic Model For Free Rational GSpectra for Connected Compact Lie Groups G.
(Springer Verlag, 201110)We show that the category of free rational Gspectra for a connected compact Lie group G is Quillen equivalent to the category of torsion differential graded modules over the polynomial ring H∗(BG). The ingredients are ... 
ALMOST GALOIS omegaSTABLE CLASSES
(Association for Symbolic Logic, 2015)Theorem. Suppose that an @0presentable Abstract Elementary Class (AEC),K, has the joint embedding and amalgamation properties in @0 and < 2@1 models in @1. If K has only countably many models in @1, then all are small. ... 
Almost galois ωstable classes
(Association for Symbolic Logic [Society Publisher], 20150722) 
An Alternate Proof Of Wise's Malnormal Special Quotient Theorem.
(Cambridge University Press, 2016)We give an alternate proof of Wise's Malnormal Special Quotient Theorem (MSQT), avoiding cubical small cancellation theory. We also show how to deduce Wise's Quasiconvex Hierarchy Theorem from the MSQT and theorems of ... 
The Amalgamation Spectrum
(Association for Symbolic Logic, 200909)We study when classes can have the disjoint amalgamation property for a proper initial segment of cardinals. Theorem A For every natural number k, there is a class Kk defined by a sentence in Lω₁,ω that has no models ... 
Analysis of presenceonly data via semisupervised learning approaches
(Elsevier, 201303)Presenceonly data occur in classification, which consist of a sample of observations from presence class and a large number of background observations with unknown presence/absence. Since absence data are generally ... 
An approximate Bayesian marginal likelihood approach for estimating nite mixtures
(Taylor & Francis, 201308)Estimation of nite mixture models when the mixing distribution support is unknown is an important problem. This paper gives a new approach based on a marginal likelihood for the unknown support. Motivated by a Bayesian ... 
Arithmetic Properties of the Frobenius Traces Defined by a Rational Abelian Variety (with two appendices by JP. Serre)
(Oxford University Press, 201706)Let A be an abelian variety over Q of dimension g such that the image of its associated absolute Galois representation rho(A) is open in GSp(2g)((Z) over cap). We investigate the arithmetic of the traces a(1,p) of the ... 
Asymptotic Analysis of a Family of Polynomials Associated with the Inverse Error Function
(Rocky Mountain Mathematics Consortium, 2012)We analyze the sequence of polynomials defined by the differentialdifference equation Pn+1(x) = P'(n)(x)+x(n+1)Pn(x) asymptotically as n > infinity. The polynomials Pn(x) arise in the computation of higher derivatives ... 
An Asymptotic Expansion and Recursive Inequalities for the MonomerDimer Problem
(Springer Verlag, 201104)Let lambda(d)(p) be the p monomerdimer entropy on the ddimensional integer lattice Z(d), where p is an element of [0, 1] is the dimer density. We give upper and lower bounds for lambda(d)(p) in terms of expressions ... 
An Asymptotic Form for the Stieltjes Constants (Gamma K)(A) and for A Sum S(Gamma)(N) Appearing Under the Li Criterion
(American Mathematical Society, 201110)We present several asymptotic analyses for quantities associated with the Riemann and Hurwitz zeta functions. We first determine the leading asymptotic behavior of the Stieltjes constants γk(a). These constants appear in ... 
ASYMPTOTICS OF HITCHIN’S METRIC ON THE HITCHIN SECTION
(Springer, 201901)We consider Hitchin’s hyperk ̈ahler metric g on the moduli space M of degree zero SL(2)Higgs bundles over a compact Riemann surface. It has been conjectured that, when one goes to infinity along a generic ray in M, g ... 
AVERAGING OF NONLINEAR SCHRODINGER EQUATIONS ¨ WITH STRONG MAGNETIC CONFINEMENT
(International Press, 201611)We consider the dynamics of nonlinear Schrödinger equations with strong constant magnetic fields. In an asymptotic scaling limit the system exhibits a purely magnetic confinement, based on the spectral properties of the ... 
Axiomatizing changing conceptions of the geometric continuum I: EuclidHilbert
(Oxford University Press, 20171120)We begin with a general account of the goals of axiomatization, introducing a variant (modest) on Detlefsen’s notion of ‘complete descriptive axiomatization’. We examine the distinctions between the Greek and modern view ... 
Banach Spaces Without Minimal Subspaces Examples
(Association des Annales de l'Institut Fourier, 2012)We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in [11], by classifying them according to which side of the dichotomies they fall. 
Bessel models for GSp(4)
(Walter de Gruyter, 2011)Methods of theta correspondence are used to analyze local and global Bessel models for GSp4 proving a conjecture of Gross and Prasad which describes these models in terms of local epsilon factors in the local case, and ... 
Best rank one approximation of real symmetric tensors can be chosen symmetric
(Springer Verlag, 201302)We show that a best rank one approximation to a real symmetric tensor, which in principle can be nonsymmetric, can be chosen symmetric. Further more, a symmetric best rank one approximation to a symmetric tensor is ... 
Boundaries, Weyl groups, and Superrigidity
(American Institute of Mathematical Sciences, 201203)This note describes a unified approach to several superrigidity results, old and new, concerning representations of lattices into simple algebraic groups over local fields. For an arbitrary group Γ and a boundary action Γ ... 
Categoricity, Amalgamation, and Tameness
(Springer Verlag, 2007)Theorem: For each 2 ≤ k < ω there is an Lω1,ω sentence ϕk such that (1) ϕk is categorical in μ if μ≤ℵk−2; (2) ϕk is not ℵk−2Galois stable (3) ϕk is not categorical in any μ with μ>ℵk−2; (4) ϕk has the disjoint ...