MATH Research Publications
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The collection of peerreviewed research articles (co)authored by faculty of the Department of Mathematics and Statistics.
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Inverse problem for onedimensional wave equation with matrix potential
(De Gruyter, 20190120)We prove a global uniqueness theorem of reconstruction of a matrixpotential a (x, t) {a(x,t)} of onedimensional wave equation □ u + a u = 0 {\square u+au=0}, x > 0, t > 0 {x>0,t>0}, □ = t 2  x 2 {\square=\partial{t}^ ... 
Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions
(Elsevier, 201905)In this paper a likelihood ratio test is developed through matrix projections for the hypothesis on the homogeneity of mean vectors in MANOVA. It is assumed that the mean vectors are under a general multivariate order ... 
Nonnegatively curved 6manifolds with almost maximal symmetry rank
(Springer Nature, 201901)We classify closed, simply connected, nonnegatively curved 6manifolds of almost maximal symmetry rank up to equivariant diffeomorphism. 
Timevarying isotropic vector random fields on compact twopoint homogeneous spaces
(Springer, 2018)A general form of the covariance matrix function is derived in this paper for a vector random field that is isotropic and mean square continuous on a compact connected twopoint homogeneous space and stationary on a temporal ... 
A pseudo restricted MLE under multivariate order restrictions and its algorithm
(Taylor & Francis, 20181221)It is shown in this paper that a quasi order for the vectors in Rp is a cone induced if and only if the order is preservable under limits and under linear combinations with nonnegative coefficients. For the mean vectors ... 
A forward branching phase space generator for hadron colliders
(Springer Berlin Heidelberg, 201810)In this paper we develop a projective phase space generator appropriate for hadron collider geometry. The generator integrates over bremsstrahlung events which project back to a single, fixed Born event. The projection is ... 
A comparison of some numerical conformal mapping methods for simply and multiply connected domains
(American Institute of Mathematical Sciences, 201901)This paper compares some methods for computing conformal maps from simply and multiply connected domains bounded by circles to target domains bounded by smooth curves and curves with corners. We discuss the use of explicit ... 
Inverse source problems without (pseudo) convexity assumptions
(American Institute of Mathematical Sciences, 201808)We study the inverse source problem for the Helmholtz equation from boundary Cauchy data with multiple wave numbers. The main goal of this paper is to study the uniqueness and increasing stability when the (pseudo)convexity ... 
Stress testing the vectorbosonfusion approximation in multijet final states
(American Physical Society, 20180822)We consider electroweak Higgs plus three jets production at NLO QCD beyond strict VBF acceptance cuts. We investigate, for the first time, how accurate the VBF approximation is in these regions and within perturbative ... 
Increasing stability in the two dimensional inverse source scattering problem with attenuation and many frequencies
(IOP Publishing, 20180822)In this paper, we investigate the interior inverse source problem for the Helmholtz equation with attenuation in the plane from boundary Cauchy data of multiple frequencies when the source term is assumed to be compactly ... 
Peakedness and convex ordering for elliptically contoured random fields
(Elsevier, 201812)For the peakedness comparison between two Gaussian random fields about their mean functions, a necessary and sufficient condition is derived in this paper in terms of their covariance functions. interestingly, such a ... 
Optically thin core accretion: how planets get their gas in nearly gasfree discs
(Oxford University Press, 20180511)Models of core accretion assume that in the radiative zones of accreting gas envelopes, radiation diffuses. But superEarths/subNeptunes (14 Rcircle plus, 220M(circle plus)) point to formation conditions that are ... 
On increasing stability in the two dimensional inverse source scattering problem with many frequencies
(IOP Publishing, 20180329)In this paper, we will study the increasing stability in the inverse source problem for the Helmholtz equation in the plane when the source term is assumed to be compactly supported in a bounded domain O with a sufficiently ... 
Programming quantum annealing computers using machine learning
(IEEE, 2017)Commercial quantum annealing (QA) machines are now being built with hundreds of quantum bits (qubits). These are used as analog computers, to solve optimization problems by annealing to an unknown ground state (the solution), ... 
A new test for decreasing mean residual lifetimes
(Taylor & Francis, 20180302)The mean residual life of a non negative random variable X with a finite mean is defined by M(t) = E[X  tX > t] for t 0. One model of aging is the decreasing mean residual life (DMRL): M is decreasing (non increasing) ... 
Increasing stability in the inverse source problem with attenuation and many frequencies
(SIAM Publ., 2018)We study the interior inverse source problem for the Helmholtz equation from boundary Cauchy data of multiple wave numbers. The main goal of this paper is to understand the dependence of increasing stability on the ... 
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. ... 
A generalization of ''Existence and behavior of the radial limits of a bounded capillary surface at a corner''
(Pacific Journal of Mathematics, 201802)The principal existence theorem (i.e., Theorem 1) of "Existence and behavior of the radial limits of a bounded capillary surface at a corner" (Pacific J. Math. 176:1 (1996), 165194) is extended to the case of a contact ... 
A capillary surface with no radial limits
(Pacific Journal of Mathematics, 2018)In 1996, Kirk Lancaster and David Siegel investigated the existence and behavior of radial limits at a corner of the boundary of the domain of solutions of capillary and other prescribed mean curvature problems with contact ... 
Preface  Inverse Problems for Partial Differential Equations First Edition Preface
(Springer, 2017)This book describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. The topic is of substantial and growing interest for many scientists and engineers ...