Browsing Mathematics, Statistics, and Physics by Title
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Separation of track and showerlike energy deposits in ProtoDUNESP using a convolutional neural network
(Springer Link, 20221012)Liquid argon time projection chamber detector technology provides high spatial and calorimetric resolutions on the charged particles traversing liquid argon. As a result, the technology has been used in a number of recent ... 
Series representations and simulations of isotropic random fields in the Euclidean space
(American Mathematical Society, 20211207)This paper introduces the series expansion for homogeneous, isotropic and mean square continuous random fields in the Euclidean space, which involves the Bessel function and the ultraspherical polynomial, but differs from ... 
Series representations of isotropic vector random fields on balls
(Elsevier, 202001)This paper deals with a class of secondorder vector random fields in the unit ball of Rd, whose direct/cross covariances are invariant or isotropic with respect to a distance defined on the ball, and gives a series ... 
Simulations of protostellar collapse using multigroup radiation hydrodynamics II. The second collapse
(EDP Sciences S A, 201309)Context. Star formation begins with the gravitational collapse of a dense core inside a molecular cloud. As the collapse progresses, the centre of the core begins to heat up as it becomes optically thick. The temperature ... 
Singularity among selfsimilar Gaussian random fields with different scaling parameters and others
(Taylor & Francis, 20181102)It is shown in this paper that the probability measures generated by selfsimilar Gaussian random fields are mutually singular, whenever they have different scaling parameters. So are those generated from a selfsimilar ... 
The size of the divergence points for rational maps
(Wichita State University. Graduate School., 20050422) 
Some constructions of formally selfadjoint conformally covariant polydifferential operators
(Elsevier, 20220310)We introduce the notion of formally selfadjoint conformally covariant polydifferential operators and give some constructions of families of such operators. In one direction, we show that any homogeneous conformally ... 
Some numerical methods
(Springer, 2017)In this chapter, we will briefly review some popular numerical methods widely used in practice. Of course it is not a comprehensive collection. We will demonstrate certain methods that are simple and widely used or, in our ... 
Some observations regarding steady laminar flows past bluff bodies
(Royal Society, 20140728)Steady laminar flows past simple objects, such as a cylinder or a sphere, have been studied for well over a century. Theoretical, experimental and numerical methods have all contributed fundamentally towards our understanding ... 
Some remarks on constructive Yukawa theory in four dimensions
(Wichita State University, 200805)We have found an exact solution to the nonlinear Yukawa system in four dimensions, and used it to derive the time development of the system. Theorems are stated and proved regarding the essential selfadjointness of the ... 
The space of positive scalar curvature metrics on a manifold with boundary
(20141112)We study the space of Riemannian metrics with positive scalar curvature on a compact manifold with boundary. These metrics extend a fixed boundary metric and take a product structure on a collar neighbourhood of the boundary. ... 
Spatial autoregression and related spatiotemporal models
(Elsevier Inc., 200401)We propose a spatial autoregressive randomfield of order p on the spatial domain Rd for pX2 in this paper, whose univariate margins are the continuoustime autoregression of order p on the real line, and introduce a class ... 
Spectra of unitary integral operators on L2 (R) with kernels k(xy)
(World Scientific, 2013)Unitary integral transforms play an important role in mathematical physics. A primary example is the Fourier transform whose kernel is of the form k(x, y) = k(xy), i.e., of the product type. Here we consider the determination ... 
Spectral methods solution of the NavierStokes equations for steady viscous flows
(Wichita State University, 200905)A combination of Spectral Methods and Finite Differences will be used to solve the NavierStokes equations for a viscous flow past a circular cylinder and past symmetric Joukowski airfoils. Different discretizations of ... 
Spherically invariant vector random fields in space and time
(IEEE, 201112)This paper is concerned with spherically invariant or elliptically contoured vector random fields in space and/or time, which are formulated as scale mixtures of vector Gaussian random fields. While a spherically invariant ... 
A stability analysis of the harmonic continuation
(IOP PUBLISHING LTD, 201207)We consider the Cauchy problem for harmonic functions outside some disc in the plane with the Cauchy data on an interval. We obtain simple formulae for singular values of the operator solving this Cauchy problem and ... 
Stability and the inverse gravimetry problem with minimal data
(e Gruyter Open Ltd, 20201011)The inverse problem in gravimetry is to find a domain ð • inside the reference domain ω from boundary measurements of gravitational force outside ω. We found that about five parameters of the unknown ð • can be stably ... 
Stability estimates and explicit formulas for the inverse problem of determining the boundary condition from discrete data
(Wichita State University. Graduate School, 20110504) 
Stability estimates for inverse problems of some elliptic equations
(Wichita State University, 201112)In this dissertation we obtain new Carleman formulas for the solution of the Cauchy problem for equations P u = h, in Ω, uE = f , where E ⊂ ∂Ω and  E  > 0. Our elliptic operator is of the form P = [ [2∂¯ 0 ; ... 
Stability of continuation and obstacle problems in acoustic and electromagnetic scattering
(Wichita State University, 201012)Study of the Cauchy problem for Helmholtz equation is motivated by the inverse scattering theory and more generally by remote sensing. In this dissertation the increased stability of the Cauchy problem for Helmholtz ...