Browsing Mathematics, Statistics, and Physics by Title
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Isotonic regression through the Merge and Chop Algorithm for application in statistical inference
(Wichita State University, 201605)In this paper, the theory for the application of the Merge and Chop Algorithm are defined and proven. The algorithm is used to find isotonic regressions in more situations than comparable methods. A program is included ... 
Isotropic covariance matrix functions on all spheres
(Springer International Publishing AG, 201508)This paper reviews and introduces characterizations of the covariance function on all spheres that is isotropic and continuous, and characterizations of the covariance matrix function on all spheres whose entries are ... 
Isotropic covariance matrix functions on compact twopoint homogeneous spaces
(Springer, 2019)The covariance matrix function is characterized in this paper for a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the compact twopoint homogeneous ... 
Isotropic covariance matrix polynomials on spheres
(Taylor & Francis Group, 2016)This article characterizes the covariance matrix function of a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the sphere. By applying the characterization ... 
Isotropic positive definite functions on spheres generated from those in Euclidean spaces
(Wichita State University, 201905)In this thesis, author have reviewed the classical characterizations of isotropic positive definite functions on Euclidean spaces and spheres, and had applied them to develop a construction of isotropic positive de nite ... 
Isotropic random fields with infinitely divisible marginal distributions
(Taylor & Francis, 2018)A simple but efficient approach is proposed in this paper to construct the isotropic random field in (d 2), whose univariate marginal distributions may be taken as any infinitely divisible distribution with finite variance. ... 
Isotropic twodimensional pseudoRiemannian metrics uniquely constructed by a given curvature
(Elsevier, 201801)We prove a global uniqueness theorem of reconstruction of a twodimensional pseudo metric by a given Gaussian curvature. 
Isotropic variogram matrix functions on spheres
(SPRINGER, 201304)This paper is concerned with vector random fields on spheres with secondorder increments, which are intrinsically stationary and mean square continuous and have isotropic variogram matrix functions. A characterization of ... 
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 ... 
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 ...