The collection of peer-reviewed research articles (co)authored by faculty of the Department of Mathematics and Statistics.

Recent Submissions

  • Machine learning applied to programming quantum computers 

    Steck, James E.; Behrman, Elizabeth C.; Thompson, Nathan (American Institute of Aeronautics and Astronautics, 2019-01-06)
    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 two-point homogeneous spaces 

    Lu, Tianshi; Ma, Chunsheng (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 two-point homogeneous ...
  • Preface 

    Solomey, Nickolas (Institute of Physics Publishing, 2019-02)
    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 sea-side of Peniche, Portugal. It was quite ...
  • Blocking duality for p-modulus on networks and applications 

    Albin, Nathan; Clemens, Jason R.; Fernando, Nethali; Poggi-Corradini, Pietro (Springer, 2019-06)
    This paper explores the implications of blocking dualitypioneered by Fulkerson et al.in the context of p-modulus on networks. Fulkerson blocking duality is an analog on networks to the method of conjugate families of curves ...
  • Conformally variational riemannian invariants 

    Case, Jeffrey S.; Lin, Yueh-Ju; Yuan, Wei (American Mathematical Society, 2019-06-01)
    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 

    Barmi E. Hammou; Johnson, Matthew; Mukerjee, Hari (Academic Press, 2010-05-5)
    In competing risks studies, the Kaplan-Meier 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 

    Ma, Chunsheng (Academic Press, 2004-07-15)
    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 

    Hu, Xiaomi (Academic Press Inc., 2002-05-25)
    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 

    Mukerjee, Hari (Academic Press, 1989-07-1)
    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 mean-zero ...
  • Singularity among selfsimilar Gaussian random fields with different scaling parameters and others 

    Ma, Chunsheng (Taylor & Francis, 2018-11-02)
    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 ...
  • K-differenced vector random fields 

    Alsultan, Rehab; Ma, Chunsheng (SIAM Publ., 2019)
    A thin-tailed vector random field, referred to as a K-differenced vector random field, is introduced. Its finite-dimensional densities are the differences of two Besse! functions of second order, whenever they exist, and ...
  • Inverse problem for one-dimensional wave equation with matrix potential 

    Khanfer, Ammar; Bukhgeim, Alexander L. (De Gruyter, 2019-01-20)
    We prove a global uniqueness theorem of reconstruction of a matrix-potential a (x, t) {a(x,t)} of one-dimensional 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 

    Hamdan, Mustafa; Hu, Xiaomi (Elsevier, 2019-05)
    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 ...
  • Non-negatively curved 6-manifolds with almost maximal symmetry rank 

    Escher, Christine; Searle, Catherine (Springer Nature, 2019-01)
    We classify closed, simply connected, non-negatively curved 6-manifolds of almost maximal symmetry rank up to equivariant diffeomorphism.
  • Time-varying isotropic vector random fields on compact two-point homogeneous spaces 

    Ma, Chunsheng; Malyarenko, Anatoliy A. (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 two-point homogeneous space and stationary on a temporal ...
  • A pseudo restricted MLE under multivariate order restrictions and its algorithm 

    Hu, Xiaomi (Taylor & Francis, 2018-12-21)
    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 non-negative coefficients. For the mean vectors ...
  • A forward branching phase space generator for hadron colliders 

    Figy, Terrance M.; Giele, Walter T. (Springer Berlin Heidelberg, 2018-10)
    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 

    Badreddine, Mohamed; DeLillo, Thomas K.; Sahraei, Saman (American Institute of Mathematical Sciences, 2019-01)
    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 

    Isakov, Victor, 1947-; Lu, Shuai (American Institute of Mathematical Sciences, 2018-08)
    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 vector-boson-fusion approximation in multijet final states 

    Campanario, Francisco; Figy, Terrance M.; Plaetzer, Simon; Rauch, Michael; Schichtel, Peter; Sjodahl, Malin (American Physical Society, 2018-08-22)
    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 ...

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