Browsing Publications  Mathematics, Statistics, and Computer Science by Title
Now showing items 1736 of 163

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 ... 
Constructing many atomic models in ℵ1
(Association for Symbolic Logic, 201609)We introduce the notion of pseudoalgebraicity to study atomic models of first order theories (equivalently models of a complete sentence of Lω1,ω). Theorem: Let T be any complete firstorder theory in a countable language ... 
Control Aspects of Quantum Computing Using Pure and Mixed States
(The Royal Society, 201210)Steering quantum dynamics such that the target states solve classically hard problems is tan tamount to quantum simulation and computation. And beyond, quantum control is also essential to pave the way to quantum ... 
Convex Integration for A Class of Active Scalar Equations
(American Mathematical Society, 201110) 
Counting substructures I: Color critical graphs
(Elsevier, 20101201)Let F be a graph which contains an edge whose deletion reduces its chromatic number. We prove tight bounds on the number of copies of F in a graph with a prescribed number of vertices and edges. Our results extend those ... 
DOPTIMAL DESIGNS WITH ORDERED CATEGORICAL DATA
(STATISTICA SINICA, 201710)Cumulative link models have been widely used for ordered categorical responses. Uniform allocation of experimental units is commonly used in practice, but often suffers from a lack of efficiency. We consider Doptimal ... 
Decoupling Of Deficiency Indices And Applications To SchrodingerType Operators With Possibly Strongly Singular Potentisld.
(Elsevier Inc., 201610)We investigate closed, symmetric L2 (Rn)realizations H of Schr¨odingertype operators (−∆ + V ) C∞0 (Rn\Σ) whose potential coefficient V has a countable number of wellseparated singularities on compact sets Σj , j ... 
Definable Operators on Hilbert Spaces
(University of Notre Dame, 2012)Let H be an infinitedimensional (real or complex) Hilbert space, viewed as a metric structure in its natural signature. We characterize the definable linear operators on H as exactly the “scalar plus compact” operators 
Dense PGLORBITS In Products Of Grassmannians
(Elsevier Inc., 20150119)In this paper, we find some necessary and sufficient conditions on the dimension vector d = (d1, . . . , dk; n) so that the diagonal action of PGL(n) on Qk i=1 Gr(di; n) has a dense orbit. Consequently, we obtain some ... 
Depth of cohomology support loci for quasiprojective varieties via orbifold pencils.
(European Mathematical Society, 2014)We describe several relations between homological invariant of characters of fundamental groups of smooth projective varieties called depth and maps onto orbicurves. This extends previously studied relations between families ... 
Derived Invariance of the Number of Holomorphic 1Forms and Vector Fields
(Elsevier Masson, 201105) 
Determinants of HIVinduced brain changes in three different periods of the early clinical course: A data mining analysis.
(Elsevier Inc., 20150801)To inform an understanding of brain status in HIV infection, quantitative imaging measurements were derived at structural, microstructural and macromolecular levels in three different periods of early infection and then ...