Browsing Publications  Mathematics, Statistics, and Computer Science by Title
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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 ... 
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 ... 
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 ... 
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 ... 
Classification based on a permanental process with cyclic approximation
(Oxford University Press, 201211)We introduce a doubly stochastic marked point process model for supervised classification problems. Regardless of the number of classes or the dimension of the feature space, the model requires only 2–3 parameters for ... 
Classification of δInvariant Amalgamation Classes
(Journal of Symbolic Logic, 199912)Hrushovski's generalization of the Fraisse construction has provided a rich source of examples in model theory, model theoretic algebra and random graph theory. The construction assigns to a dimension function s and a class ... 
Coarse differentiation of quasiisometries II: Rigidity for Sol and lamplighter groups
(Princeton University, Department of Mathematics, 201305)In this paper we prove quasiisometric rigidity results concerning lattices in Sol and lamplighter groups. The paper builds in a substantial way on our earlier paper Coarse di erentiation of quasiisometries I: spaces ... 
A Comparison of Lower Genital Tract Glycogen and Lactic Acid Levels in Women and Macaques: Implications for HIV and SIV Susceptibility
(Mary Ann Liebert, 201201)Understanding factors that affect eterosexual transmission of HIV in women is of great importance. Lactobacilli in the lower genital tract of women utilize glycogen in vaginal epithelial cells as an energy source and ... 
Complete reducibility theorems for modules over pointed Hopf algebras
(Elsevier, 20101201)We investigate the representation theory of a large class of pointed Hopf algebras, extending results of Lusztig and others. We classify all simple modules in a suitable category and determine the weight multiplicities; ... 
Completeness And Categoricity (In Power): Formalization Without Foundationalism.
(Association for Symbolic Logic (Cambridge University Press), 201403)Abstract. We propose a criterion to regard a property of a theory (in first or second order logic) as virtuous: the property must have significant mathematical consequences for the theory (or its models). We then rehearse ... 
Complex analytic Néron models for arbitrary families of intermediate Jacobians
(Springer Verlag, 20110701)Given a family of intermediate Jacobians (for a polarizable variation of integral Hodge structure of odd weight) on a Zariskiopen subset of a complex manifold, we construct an analytic space that naturally extends the ... 
The conformal geometry of billiards
(American Mathematical Society, 201101)This article provides an introduction to some recent results in billiard dynamics. We present results that follow from a study of compact Riemann surfaces (equipped with a holomorphic 1form) and an SL2R action on the ...