Browsing Mathematics, Statistics, and Physics by Title
Now showing items 191-210 of 431
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Isotropic positive definite functions on spheres generated from those in Euclidean spaces
(Wichita State University, 2019-05)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 two-dimensional pseudo-Riemannian metrics uniquely constructed by a given curvature
(Elsevier, 2018-01)We prove a global uniqueness theorem of reconstruction of a two-dimensional pseudo metric by a given Gaussian curvature. -
Isotropic variogram matrix functions on spheres
(SPRINGER, 2013-04)This paper is concerned with vector random fields on spheres with second-order increments, which are intrinsically stationary and mean square continuous and have isotropic variogram matrix functions. A characterization of ... -
K-combined random fields: Basic properties and stochastic orderings
(Taylor and Francis, 2021-05-17)This paper introduces the K-combined vector random field, whose finite-dimensional characteristic functions are made up of certain power functions and whose finite-dimensional density functions are comprised of the modified ... -
K-differenced vector random fields
(SIAM Publ., 2019)A thin-tailed vector random field, referred to as a K-differenced vector random field, is introduced. Its finite-dimensional densities are the differences of two Besse! functions of second order, whenever they exist, and ... -
K-distributed vector random fields in space and time
(Elsevier, 2013-04)This paper introduces two types of second-order vector random fields or stochastic processes whose marginals are K-distributed, through certain mixture procedures. The first type is formulated as an independent product of ... -
Kahler-Einstein metrics with edge singularities
(Princeton University, 2016-01)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., 2017-05-01)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 two-qubit system, then demonstrate ... -
Level sets of potential functions bisecting unbounded quadrilaterals
(Birkhauser, 2022-11-10)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, 2016-07)We consider the linear stability of Hill's vortex with respect to axisymmetric perturbations. Given that Hill's vortex is a solution of a free-boundary problem, this stability analysis is performed by applying methods of ... -
A linearised inverse conductivity problem for the Maxwell system at a high frequency
(Elsevier, 2022-04-15)We consider a linearised inverse conductivity problem for electromagnetic waves in a three dimensional bounded domain at a high time-harmonic 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, 2003-08-01)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., 2015-06)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 ... -
Long-baseline neutrino oscillation physics potential of the DUNE experiment: DUNE Collaboration
(Springer, 2020-10-22)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 long-baseline neutrino oscillation sensitivity of the DUNE experiment
(American Physical Society, 2022-04-25)The Deep Underground Neutrino Experiment (DUNE) will produce world-leading neutrino oscillation measurements over the lifetime of the experiment. In this work, we explore DUNE’s sensitivity to observe charge-parity violation ... -
Machine learning applied to programming quantum computers
(American Institute of Aeronautics and Astronautics, 2019-01-06)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, 2022-05)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 Off-axis $\nu_e$ Appearance) group for the analysis of neutrino events at ... -
Manifolds with $4\frac{1}{2}$-Positive Curvature Operator of the Second Kind
(Springer Nature, 2022-08-04)We show that a closed four-manifold 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 ...