MATH Research Publications
The collection of peerreviewed research articles (co)authored by faculty of the Department of Mathematics and Statistics.
All items in SOAR are protected by copyright, with all rights reserved, unless otherwise indicated
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Bifractional Brownian Motions on Metric Spaces
(Springer, 202308)Fractional and bifractional Brownian motions can be defined on a metric space if the associated metric or distance function is conditionally negative definite (or of negative type). This paper introduces several forms of ... 
Cohomogeneity one central Kähler metrics in dimension four
(Walter de Gruyter GmbH, 202308)A Kähler metric is called central if the determinant of its Ricci endomorphism is constant; see [12]. For the case in which this constant is zero, we study on 4manifolds the existence of complete metrics of this type which ... 
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 ... 
An algorithm for a pseudo RMLE under simple tree multivariate order restriction
(Elsevier Ltd, 202307)For simple tree multivariate order restriction, this paper defines a closed convex set inside the order restricted cone, and develops an algorithm for matrix projections onto this set. For the mean matrix in oneway MANOVA, ... 
Coefficients and Fekete–Szegö Functional Estimations of BiUnivalent Subclasses Based on Gegenbauer Polynomials
(Multidisciplinary Digital Publishing Institute (MDPI), 20230625)Subclasses of analytic and biunivalent functions have been extensively improved and utilized for estimating the TaylorMaclaurin coefficients and the Fekete–Szegö functional. In this paper, we consider a certain subclass ... 
Identification and reconstruction of lowenergy electrons in the ProtoDUNESP detector
(American Physical Society, 20230530)Measurements of electrons from ?e interactions are crucial for the Deep Underground Neutrino Experiment (DUNE) neutrino oscillation program, as well as searches for physics beyond the standard model, supernova neutrino ... 
Highlyparallelized simulation of a pixelated LArTPC on a GPU
(IOP Publishing, 20230426)The rapid development of generalpurpose computing on graphics processing units (GPGPU) is allowing the implementation of highlyparallelized Monte Carlo simulation chains for particle physics experiments. This technique ... 
Computation of plane potential flow around multielement airfoils using the SchottkyKlein prime function
(Elsevier, 20230801)Potential flow is computed around multielement airfoils in two dimensions using numerical conformal mapping combined with the calculus of the SchottkyKlein prime function. The corners at the trailing edges of the airfoils ... 
RamondRamond fields and twisted differential Ktheory
(International Press of Boston, Inc., 20230330)We provide a systematic approach to describing the RamondRamond (RR) fields as elements in twisted differential Ktheory. This builds on a series of constructions by the authors on geometric and computational aspects of ... 
Multivariate exponential power Lévy processes and random fields
(Elsevier Ltd, 20230601)Two multivariate exponential power Lévy processes are introduced in this paper via compound Poisson representations, which are so termed because their characteristic exponents are the linear combination of certain positive ... 
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, ... 
Symmetries of spaces with lower curvature bounds
(American Mathematical Society, 4/1/2023)[No abstract available] 
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 ... 
Modeling the spread of the Coronavirus
(Wichita State University, 20200503)This talk will introduce statistical modeling concepts relating to prediction of COVID rates at a county level and specifically introduce the notion of spatial correlation, which recognizes that there is a connection between ... 
Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method
(Springer Link, 20230228)We apply the charge simulation method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many “small” components. This application allows to use just a single charge point for ... 
Concept for a spacebased nearsolar neutrino detector
(Elsevier B.V., 20230401)The concept of putting a neutrino detector in close orbit of the Sun has been unexplored until very recently. The primary scientific return is to vastly enhance our understanding of the solar interior, which is a major ... 
Eigenvalue estimates on QuaternionKähler manifolds
(Springer, 20230109)We prove lower bound estimates for the first nonzero eigenvalue of the Laplacian on a compact quaternionKähler manifold. For the closed or Neumann case, the lower bounds depend on dimension, diameter, and lower bound of ... 
Numerical computation of a preimage domain for an infinite strip with rectilinear slits
(Springer Link, 20230116)Let Ω be the multiply connected domain in the extended complex plane $\overline {\mathbb {C}}$obtained by removing m nonoverlapping rectilinear segments from the infinite strip $S=\{z : \left \text {Im} z\right <\pi ... 
Development of a neutrino detector capable of operating in space
(Elsevier B.V., 20230201)The vSOL experiment to operate a neutrino detector close to the Sun is building a small test detector to orbit the Earth to test the concept in space. This detector concept is to provide a new way to detect neutrinos ... 
Strong local nondeterminism and exact modulus of continuity for isotropic Gaussian random fields on compact twopoint homogeneous spaces
(Springer International Publishing, 20230103)This paper is concerned with sample path properties of realvalued isotropic Gaussian fields on compact twopoint homogeneous spaces. In particular, we establish the property of strong local nondeterminism of an isotropic ...