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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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 ... 
Machine learning applied to programming quantum computers
(American Institute of Aeronautics and Astronautics, 20190106)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 ... 
Isotropic covariance matrix functions on compact twopoint homogeneous spaces
(Springer, 2019)The covariance matrix function is characterized in this paper for a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the compact twopoint homogeneous ... 
Preface
(Institute of Physics Publishing, 201902)This is the 13th conference on Beauty, Charm and Hyperon hadrons since the start back in 1995 at Strasbourg. This edition of the series has taken place in the warm and welcoming seaside of Peniche, Portugal. It was quite ... 
Blocking duality for pmodulus on networks and applications
(Springer, 201906)This paper explores the implications of blocking dualitypioneered by Fulkerson et al.in the context of pmodulus on networks. Fulkerson blocking duality is an analog on networks to the method of conjugate families of curves ... 
Conformally variational riemannian invariants
(American Mathematical Society, 20190601)Conformally variational Riemannian invariants (CVIs), such as the scalar curvature, are homogeneous scalar invariants which arise as the gradient of a Riemannian functional. We establish a wide range of stability and ... 
Estimating cumulative incidence functions when the life distributions are constrained
(Academic Press, 2010055)In competing risks studies, the KaplanMeier estimators of the distribution functions (DFs) of lifetimes and the corresponding estimators of cumulative incidence functions (CIFs) are used widely when no prior information ... 
A class of stationary random fields with a simple correlation structure
(Academic Press, 20040715)A stationary random field is often more complicated than a univariate stationary time series, since dependence for a random field extends in all directions, while there is only the natural distinction of past and future ... 
Application of the limit of truncated isotonic regression in optimization subject to isotonic and bounding constraints
(Academic Press Inc., 20020525)An isotonic regression truncated by confining its domain to a union of its level sets is the isotonic regression in the reduced function space. When some of the weights with which the inner product system is defined go to ... 
A strong law of large numbers for nonparametric regression
(Academic Press, 1989071)Suppose (i1,n, ..., in,n) is permutation of (1, ..., n) for each positive integer n such that the order of the indices {1, h., n  1} in the permutation corresponding to n  1 is preserved. If {Zn} is a sequence of meanzero ... 
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 ... 
Kdifferenced vector random fields
(SIAM Publ., 2019)A thintailed vector random field, referred to as a Kdifferenced vector random field, is introduced. Its finitedimensional densities are the differences of two Besse! functions of second order, whenever they exist, and ... 
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 ...