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

Recent Submissions

  • Radial limits of capillary surfaces at corners 

    Entekhabi, Mozhgan (Nora); Lancaster, Kirk E. (Pacific Journal of Mathematics, 2017-05)
    Consider a solution f is an element of C-2(Omega) of a prescribed mean curvature equation div del f/root 1+vertical bar del f vertical bar(2) = 2H (x, f) in Omega subset of R-2, where Omega is a domain whose boundary ...
  • On cusp solutions to a prescribed mean curvature equation 

    Echart, Alexandra K.; Lancaster, Kirk E. (Pacific Journal of Mathematics, 2017-05)
    The nonexistence of "cusp solutions" of prescribed mean curvature boundary value problems in Omega x R when Omega is a domain in R-2 is proven in certain cases and an application to radial limits at a corner is mentioned.
  • Estimation of a star-shaped distribution function 

    El Barmi, Hammou; Malla, Ganesh B.; Mukerjee, Hari (Taylor & Francis LTD, 2017)
    A life distribution function (DF) F is said to be star-shaped if F(x)/x is nondecreasing on its support. This generalises the model of a convex DF, even allowing for jumps. The nonparametric maximum likelihood estimation ...
  • Ages of 70 dwarfs of three populations in the solar neighborhood: considering O and C abundances in stellar models 

    Ge, Z. S.; Bi, S. L.; Chen, Y. Q.; Li, T. D.; Zhao, J. K.; Liu, K.; Ferguson, Jason W.; Wu, Y. Q. (IOP Publishing Ltd, 2016-12-15)
    Oxygen and carbon are important elements in stellar populations. Their behavior refers to the formation history of the stellar populations. C and O abundances would also obviously influence stellar opacities and the overall ...
  • Recovery of time-dependent volatility in option pricing model 

    Deng, Zui-Cha; Hon, Y. C.; Isakov, Victor, 1947- (IOP Publishing Ltd, 2016-09-29)
    In this paper we investigate an inverse problem of determining the time-dependent volatility from observed market prices of options with different strikes. Due to the non linearity and sparsity of observations, an analytical ...
  • Radial limits of bounded nonparametric prescribed mean curvature surfaces 

    Entekhabi, Mozhgan (Nora); Lancaster, Kirk E. (Pacific Journal of Mathematics, 2016-06-22)
    Consider a solution f is an element of C-2 (Omega)of a prescribed mean curvature equation div del f/root 1+vertical bar del f vertical bar(2) = 2H(x, f) in Omega, where Omega subset of R-2 is a domain whose boundary ...
  • Linear stability of Hill's vortex to axisymmetric perturbations 

    Protas, Bartosz; Elcrat, Alan R. (Cambridge University Press, 2016-07)
    We consider the linear stability of Hill's vortex with respect to axisymmetric perturbations. Given that Hill's vortex is a solution of a free-boundary problem, this stability analysis is performed by applying methods of ...
  • Numerical methods for Riemann-Hilbert problems in multiply connected circle domains 

    Balu, Raja; DeLillo, Thomas K. (Elsevier Science Inc., 2016-12-01)
    Riemann-Hilbert problems in multiply connected domains arise in a number of applications, such as the computation of conformal maps. As an example here, we consider a linear problem for computing the conformal map from the ...
  • Isotropic covariance matrix polynomials on spheres 

    Ma, Chunsheng (Taylor & Francis Group, 2016)
    This article characterizes the covariance matrix function of a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the sphere. By applying the characterization ...
  • Stochastic representations of isotropic vector random fields on spheres 

    Ma, Chunsheng (Taylor & Francis Group, 2016)
    A stochastic representation is derived for a vector random field that is stationary, isotropic, and mean square continuous on a sphere or unit circle. The established stochastic representation is an infinite series involving ...
  • Nilsolitons of H-type in the Lorentzian setting 

    Onda, Kensuke (Houston Journal of Mathematics, 2015)
    It is known that all left-invariant pseudo-Riemannian metrics on the three-dimensional Heisenberg group H-3 are algebraic Ricci solitons. We consider generalizations of Riemannian H-type, namely pseudoH-type and pH-type. ...
  • On the relationship of continuity and boundary regularity in prescribed mean curvature dirichlet problems 

    Lancaster, Kirk E.; Melin, Jaron Patric (Pacific Journal of Mathematics, 2016-03-03)
    In 1976, Leon Simon showed that if a compact subset of the boundary of a domain is smooth and has negative mean curvature, then the nonparametric least area problem with Lipschitz continuous Dirichlet boundary data has a ...
  • Hybrid basis scheme for computing electrostatic fields exterior to close-to-touching discs 

    Crowdy, D. G.; Tanveer, S.; DeLillo, Thomas K. (Oxford University Press, 2016-04)
    This paper presents a simple and effective new numerical scheme for the computation of electrostatic fields exterior to a collection of close-to-touching discs. The method is presented in detail for the two-disc case. The ...
  • Protostellar collapse using multigroup radiation hydrodynamics 

    Vaytet, Neil; Chabrier, Gilles; Audit, Edouard; Commercon, Benoit; Masson, Jacques; Gonzalez, Matthias; Ferguson, Jason W.; Delahaye, Franck (Astronomical Society of the Pacific, 2015)
    Many simulations of protostellar collapse make use of a grey treatment of radiative transfer coupled to the hydrodynamics. However, interstellar gas and dust opacities present large variations as a function of frequency. ...
  • Increasing stability for the conductivity and attenuation coefficients 

    Isakov, Victor, 1947-; Lai, Ru-Yu; Wang, Jenn-Nan (Society for Industrial and Applied Mathematics, 2016)
    In this work we consider stability of recovery of the conductivity and attenuation coefficients of the stationary Maxwell and Schrodinger equations from a complete set of (Cauchy) boundary data. By using complex geometrical ...
  • On an ad hoc test for order restricted multivariate normal means 

    Hu, Xiaomi (Taylor & Francis Group, 2016)
    For several normal mean vectors restricted by a simple ordering with respect to a multivariate order, this article derives sufficient and necessary conditions for the restricted MLEs for both mean vectors and covariance ...
  • Increasing stability in the inverse source problem with many frequencies 

    Cheng, Jin; Isakov, Victor, 1947-; Lu, Shuai (Elsevier B.V., 2016-03-05)
    We study increasing stability in the interior inverse source problem for the Helmholtz equation from boundary Cauchy data for multiple wave numbers. By using the Fourier transform with respect to the wave number, explicit ...
  • Consistent estimation of survival functions under uniform stochastic ordering; the k-sample case 

    El Barmi, Hammou; Mukerjee, Hari (Elsevier B.V., 2016-02)
    Let S-1, S-2, ... , S-k be survival functions of life distributions. They are said to be uniformly stochastically ordered, S-1 <=(uso) S-2 <=(uso) ... <=(uso) S-k, if S-i/Si+1 is a survival function for 1 <= i <= k - 1. ...
  • Kahler-Einstein metrics with edge singularities 

    Jeffres, Thalia D.; Mazzeo, Rafe; Rubinstein, Yanir A. (Princeton University, 2016-01)
    This article considers the existence and regularity of Kahler Einstein metrics on a compact Kahler manifold M with edge singularities with cone angle 2 pi beta along a smooth divisor D. We prove existence of such metrics ...
  • A new test for new better than used in expectation lifetimes 

    Lorenzo, Edgardo; Malla, Ganesh B.; Mukerjee, Hari (Taylor & Francis Group, 2015)
    The mean residual life of a non negative random variable X with a finite mean is defined by M(t) = E[X - t | X > t] for t >= 0. A popular nonparametric model of aging is new better than used in expectation (NBUE), when ...

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