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

Recent Submissions

  • 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 ...
  • Regularization via Cheeger deformations 

    Searle, Catherine; Solorzano, Pedro; Wilhelm, Frederick (Springer Netherlands, 2015-12)
    We show that Cheeger deformations regularize G-invariant metrics in a very strong sense.
  • Increasing stability for near field from the scattering amplitude 

    Isakov, Victor, 1947- (American Mathematical Society, 2015)
    We obtain stability estimates for the near field of a radiating solution of the Helmholtz equation from the far field (scattering amplitude). This estimates contain the best possible Lipschitz term, a Holder term, and terms ...
  • How to lift positive Ricci curvature 

    Searle, Catherine; Wilhelm, Frederick (Mathematical Sciences Publishers, 2015-05-21)
    We show how to lift positive Ricci and almost nonnegative curvatures from an orbit space M / G to the corresponding G-manifold, M. We apply the results to get new examples of Riemannian manifolds that satisfy both curvature ...
  • Isotropic covariance matrix functions on all spheres 

    Ma, Chunsheng (Springer International Publishing AG, 2015-08)
    This paper reviews and introduces characterizations of the covariance function on all spheres that is isotropic and continuous, and characterizations of the covariance matrix function on all spheres whose entries are ...
  • Multifractional vector Brownian motions, their decompositions, and generalizations 

    Ma, Chunsheng (Taylor & Francis Group, 2015-05-04)
    This article introduces three types of covariance matrix structures for Gaussian or elliptically contoured vector random fields in space and/or time, which include fractional, bifractional, and trifractional vector Brownian ...
  • Logistic vector random fields with logistic direct and cross covariances 

    Balakrishnan, N.; Ma, Chunsheng; Wang, Renxiang (Elsevier B.V., 2015-06)
    The logistic vector random field is introduced in this paper as a scale mixture of Gaussian vector random fields, and is thus a particular elliptically contoured (spherically invariant) vector random field. Such a logistic ...
  • Increasing stability for the inverse problem of the Schrodinger equation with the partial Cauchy data 

    Liang, Li (American Institute of Mathematical Sciences, 2015-05)
    To show increasing stability in the problem of recovering potential c is an element of C-1 (Omega) in the Schrodinger equation with the given partial Cauchy data when energy frequency k is growing, we will obtain some ...
  • Zeta function of self-adjoint operators on surfaces of revolution 

    Lu, Tianshi; Jeffres, Thalia D.; Kirsten, Klaus (IOP Publishing, 2015-04-10)
    In this article we analyze the zeta function for the Laplace operator on a surface of revolution. A variety of boundary conditions, separated and unseparated, are considered. Formulas for several residues and values of the ...
  • H-spaces, loop spaces and the space of positive scalar curvature metrics on the sphere 

    Walsh, Mark (Mathematical Sciences Publishers, 2014-10-02)
    For dimensions n >= 3, we show that the space Riem(+)(S-n) of metrics of positive scalar curvature on the sphere S-n is homotopy equivalent to a subspace of itself which takes the form of an H-space with a homotopy ...
  • The space of positive scalar curvature metrics on a manifold with boundary 

    Walsh, Mark (2014-11-12)
    We study the space of Riemannian metrics with positive scalar curvature on a compact manifold with boundary. These metrics extend a fixed boundary metric and take a product structure on a collar neighbourhood of the boundary. ...
  • Increasing stability for determining the potential in the Schrodinger equation with attenuation from the Dirichlet-to-Neumann map 

    Isakov, Victor, 1947-; Wang, Jenn-Nan (American Institute of Mathemaical Sciences, 2014-11)
    We derive some bounds which can be viewed as an evidence of increasing stability in the problem of recovering the potential coefficient in the Schrodinger equation from the Dirichlet-to-Neumann map in the presence of ...
  • Recovery of time dependent volatility coefficient by linearization 

    Isakov, Victor, 1947- (American Institute of Mathematical Sciences, 2014-03)
    We study the problem of reconstruction of special time dependent local volatility from market prices of options with different strikes at two expiration times. For a general diffusion process we apply the linearization ...

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