Browsing Mathematics, Statistics, and Physics by Title
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Kcombined random fields: Basic properties and stochastic orderings
(Taylor and Francis, 20210517)This paper introduces the Kcombined vector random field, whose finitedimensional characteristic functions are made up of certain power functions and whose finitedimensional density functions are comprised of the modified ... 
Kdifferenced vector random fields
(SIAM Publ., 2019)A thintailed vector random field, referred to as a Kdifferenced vector random field, is introduced. Its finitedimensional densities are the differences of two Besse! functions of second order, whenever they exist, and ... 
Kdistributed vector random fields in space and time
(Elsevier, 201304)This paper introduces two types of secondorder vector random fields or stochastic processes whose marginals are Kdistributed, through certain mixture procedures. The first type is formulated as an independent product of ... 
KahlerEinstein metrics with edge singularities
(Princeton University, 201601)This article considers the existence and regularity of Kahler Einstein metrics on a compact Kahler manifold M with edge singularities with cone angle 2 pi beta along a smooth divisor D. We prove existence of such metrics ... 
Kähler manifolds and the curvature operator of the second kind
(Springer Link, 20230322)This article aims to investigate the curvature operator of the second kind on Kähler manifolds. The first result states that an mdimensional Kähler manifold with $$\frac{3}{2}(m^21)$$nonnegative (respectively, ... 
Learning quantum annealing
(Rinton Press, Inc., 20170501)We propose and develop a new procedure, whereby a quantum system can learn to anneal to a desired ground state. We demonstrate successful learning to produce an entangled state for a twoqubit system, then demonstrate ... 
Level sets of potential functions bisecting unbounded quadrilaterals
(Birkhauser, 20221110)We study the mixed Dirichlet–Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet/ Neumann conditions at opposite pairs of sides ... 
Linear stability of Hill's vortex to axisymmetric perturbations
(Cambridge University Press, 201607)We consider the linear stability of Hill's vortex with respect to axisymmetric perturbations. Given that Hill's vortex is a solution of a freeboundary problem, this stability analysis is performed by applying methods of ... 
A linearised inverse conductivity problem for the Maxwell system at a high frequency
(Elsevier, 20220415)We consider a linearised inverse conductivity problem for electromagnetic waves in a three dimensional bounded domain at a high timeharmonic frequency. Increasing stability bounds for the conductivity coefficient in the ... 
Linearized inverse Schrödinger potential problem at a large wavenumber
(Society for Industrial and Applied Mathematics Publications, 2020)We investigate recovery of the (Schrodinger) potential function from many boundary measurements at a large wavenumber. By considering such a linearized form, we obtain a Holder type stability which is a big improvement ... 
Lipschitz stability in the lateral Cauchy problem for elasticity system
(Kyoto University, 20030801)We consider the isotropic elasticity system: ρ∂2 t u − μ(Δu + ∇(∇Tu))−∇(λ∇Tu) − 3 X j=1 ∇μ · (∇uj + ∂ju)ej = 0 in Ω× (0, T) for the displacement vector u = (u1, u2, u3) depending on x ∈ Ω and t ∈ (0, T) where Ω ... 
Logistic vector random fields with logistic direct and cross covariances
(Elsevier B.V., 201506)The logistic vector random field is introduced in this paper as a scale mixture of Gaussian vector random fields, and is thus a particular elliptically contoured (spherically invariant) vector random field. Such a logistic ... 
Longbaseline neutrino oscillation physics potential of the DUNE experiment: DUNE Collaboration
(Springer, 20201022)The sensitivity of the Deep Underground Neutrino Experiment (DUNE) to neutrino oscillation is determined, based on a full simulation, reconstruction, and event selection of the far detector and a full simulation and ... 
Low exposure longbaseline neutrino oscillation sensitivity of the DUNE experiment
(American Physical Society, 20220425)The Deep Underground Neutrino Experiment (DUNE) will produce worldleading neutrino oscillation measurements over the lifetime of the experiment. In this work, we explore DUNE’s sensitivity to observe chargeparity violation ... 
Machine learning applied to programming quantum computers
(American Institute of Aeronautics and Astronautics, 20190106)We apply machine learning to “program” quantum computers, both in simulation and in experimental hardware. A major difficulty in quantum computing is developing effective algorithms that can be programmed on a quantum ... 
Machine learning in NO$\nu$A near detector vertexing
(Wichita State University, 202205)This work presents an alternative method for a reconstruction machine learning algorithm in place of the one currently used by the NO$\nu$A (NuMI Offaxis $\nu_e$ Appearance) group for the analysis of neutrino events at ... 
Manifolds with $4\frac{1}{2}$Positive Curvature Operator of the Second Kind
(Springer Nature, 20220804)We show that a closed fourmanifold with $4\frac{1}{2}$positive curvature operator of the second kind is diffeomorphic to a spherical space form. The curvature assumption is sharp as both ${\mathbb{CP}\mathbb{}}^2$and ... 
Manifolds with nonnegative curvature operator of the second kind
(World Scientific Publishing Co., 20230113)We investigate the curvature operator of the second kind on Riemannian manifolds and prove several classification results. The first one asserts that a closed Riemannian manifold with threepositive curvature operator of ... 
Matchedpairs tests of homogeneity with applications to homologous nucleotide sequences
(Oxford University Press, 20060515)Motivation: Most phylogenetic methods assume that the sequences of nucleotides or amino acids have evolved under stationary, reversible and homogeneous conditions. When these assumptions are violated by the data, there ... 
Measurement of charged pion cross section using newly developed reconstruction tool in the NOvA and dune near detector
(Wichita State University, 20230414)The NOvA and DUNE neutrino experiments are designed to study neutrinos and their interaction properties with matter. Neutrinos, the most abundant massive particle in the universe. They are produced inside the sun, supernovae, ...