Browsing Mathematics, Statistics, and Physics by Title
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Scalar and vector tomography for the weighed transport equation
(Wichita State University, 201805)Beginning with the weighted transport equation, P u(x, ω) = hω, ∇xu(x, ω)i + µ(x)u(x, ω) = ρ(x, ω)a(x), x ∈ ω ⊂ R 2 , we examine the properties of acoustic waves that travel below the surface of a solid, such as the ... 
Scalar and vector tomography for the weighted transport equation with application to helioseismology
(De Gruyter Open Ltd, 20220408)Motivated by the application to helioseismology, we demonstrate uniqueness and stability for a class of inverse problems of the weighted transport equation. Using Aanalytic functions, this inverse problem is expressed as ... 
Scattering problems and stationary waves
(Springer, 2017)The stationary incoming wave u with the wave number k is a solution to the perturbed Helmholtz equation (scattering by medium) Au−k2u=0 in R3 
The SchoenbergLevy kernel and relationships among fractional Brownian motion, bifractional Brownian motion, and others
(Society for Industrial and Applied Mathematics, 2013)Starting with a discussion about the relationship between the fractional Brownian motion and the bifractional Brownian motion on the real line, we find that a fractional Brownian motion can be decomposed as an independent ... 
SchwarzChristoffel mapping of multiply connected domains
(Springer Verlag, 20041201)A SchwarzChristoffel mapping formula is established for polygonal domains of finite connectivity m _> 2 thereby extending the results of Christoffel (1867) and Schwarz (1869) for m = 1 and Komatu (1945), m = 2. A ... 
Scintillation light detection in the 6m driftlength ProtoDUNE Dual Phase liquid argon TPC
(Springer, 20220624)DUNE is a dualsite experiment for longbaseline neutrino oscillation studies, neutrino astrophysics and nucleon decay searches. ProtoDUNE Dual Phase (DP) is a 6 × 6 × 6 m3 liquid argon timeprojectionchamber (LArTPC) ... 
Search for activesterile antineutrino mixing using neutralcurrent interactions with the NOvA experiment
(American Physical Society, 20211111)This Letter reports results from the first longbaseline search for sterile antineutrinos mixing in an acceleratorbased antineutrinodominated beam. The rate of neutralcurrent interactions in the two NOvA detectors, at ... 
Search for activesterile neutrino mixing using neutralcurrent interactions in NOvA
(American Physical Society, 20171030)We report results from the first search for sterile neutrinos mixing with active neutrinos through a reduction in the rate of neutralcurrent interactions over a baseline of 810\,km between the NOvA detectors. Analyzing a ... 
Search for multimessenger signals in NOvA coincident with LIGO/Virgo detections
(American Physical Society, 20200622)Using the NOvA neutrino detectors, a broad search has been performed for any signal coincident with 28 gravitational wave events detected by the LIGO/Virgo Collaboration between September 2015 and July 2019. For all of ... 
Search for slow magnetic monopoles with the NOvA detector on the surface
(American Physical Society, 20210111)We report a search for a magnetic monopole component of the cosmicray flux in a 95day exposure of the NOvA experiment's Far Detector, a 14 kt segmented liquid scintillator detector designed primarily to observe GeVscale ... 
Searching for solar KDAR with DUNE
(IOP Publishing, 20211022)The observation of 236 MeV muon neutrinos from kaondecayatrest (KDAR) originating in the core of the Sun would provide a unique signature of dark matter annihilation. Since excellent angle and energy reconstruction are ... 
Seasonal variation of multiplemuon cosmic ray air showers observed in the NOvA detector on the surface
(American Physical Society, 20210730)We report the rate of cosmic ray air showers with multiplicities exceeding 15 muon tracks recorded in the NOvA Far Detector between May 2016 and May 2018. The detector is located on the surface under an overburden of 3.6 ... 
Selected methods of matrix inversion
(Wichita State University, 195605)Matrix theory is concerned with the study of rectangular arrays of elements called matrices . In this paper, except for one example, no attempt will be made to describe how these arrays are obtained originally nor to ... 
Selection optimization of neutral current π⁰ production from an antineutrino interaction in the NOvA near detector
(Wichita State University, 201907)The NOvA experiment (NuMI OffAxis e Appearance) is a particle physics experiment that is designed to measure neutrino oscillation parameters of muon neutrino (ν μ) to electron neutrino (ν e), or muon antineutrino ( ... 
Semiinclusive neutral current neutral pion production selection at the NOvA (numi offaxis electron neutrino appearance) near detector using prong level convolutional neural networks
(Wichita State University, 201805)The NOνA neutrino experiment based in Fermilab is designed to measure νµ→νe neutrino oscillations. This experiment will give us insight into the properties of massive neutrinos. Neutral current (NC) νµ,e neutral pion ... 
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 expansions of fractional Brownian motions and strong local nondeterminism of bifractional Brownian motions on balls and spheres
(Society for Industrial and Applied Mathematics Publications, 20230523)This paper provides series expansions for fractional Brownian motions on the unit ball and the unit sphere by means of ultraspherical polynomials and spherical harmonics. It establishes the property of strong local ... 
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 ...