AUB ScholarWorks

Browsing Department of Mathematics - Faculty Publications by Issue Date

Browsing Department of Mathematics - Faculty Publications by Issue Date

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  • Concerning continua that contain no metric subcontinua 
    Daniel D.; Nikiel J.; Treybig L.B.; Tuncali M.; Tymchatyn E.D. (HOUSTONDEPT MATH, HOUSTON, TX 77204 USA, 2004)
    In earlier work the authors raised the following question. Let X denote a locally connected continuum such that X is rim-metric and such that X contains no nondegenerate metric subcontinuum. Is X rim-finite and therefore ...
  • Adjoint restriction estimates and scaling on spheres 
    Shayya B. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2004)
    We test the restriction conjecture, in its adjoint form, against a class of measures φδdσ on the sphere Sn-1. The densities φδ are smoothed out characteristic functions of δa2 × δa3 × ⋯ × δan rectangular caps on Sn-1, where ...
  • On the closed form of the covariance matrix and its inverse of the causal arma process 
    Haddad J.N. (OXFORD108 COWLEY RD, OXFORD OX4 1JF, OXON, ENGLAND, 2004)
    Derivation of the theoretical autocovariance function of a causal autoregressive moving-average process of order (p, q), ARMA(p, q), when q ≥ 1 is considered. A recursive relationship is established between the covariance ...
  • Linear algebra algorithms for divisors on an algebraic curve 
    Khuri-Makdisi K. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2004)
    We use an embedding of the symmetric dth power of any algebraic curve C of genus g into a Grassmannian space to give algorithms for working with divisors on C, using only linear algebra in vector spaces of dimension O(g), ...
  • On a Lie-theoretic Approach to Generalized Doubly Stochastic Matrices and Applications 
    Mourad B. (ABINGDON4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND, 2004)
    In this article, we study generalized doubly stochastic matrices using the theory of Lie groups and Lie algebras. Applications to the inverse eigenvalue problem for symmetric doubly stochastic matrices are presented.
  • Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent 
    Rao B.; Wehbe A. (BASELVIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND, 2005)
    Using a direct approach, we establish the polynomial energy decay rate for smooth solutions of the equation of Kirchhoff plate. Consequently, we obtain the strong stability in the absence of compactness of the resolvent ...
  • A weak periodicity condition for rings 
    Abu-Khuzam H.; Bell H.E.; Yaqub A. (, 2005)
    A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element. After discussing some basic properties of such ...
  • On a conjecture of D. Styer regarding univalent geometric and annular starlike functions 
    Bshouty D.; Lyzzaik A. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2005)
    The aim of this paper is two-fold. First, to give a direct proof for the already established result of Styer which states that a univalent geometrically starlike function f is a univalent annular starlike function if f is ...
  • On suslinian continua 
    Daniel D.; Nikiel J.; Treybig L.B.; Tuncali H.M.; Tymchatyn E.D. (, 2005)
    A continuum is said to be Suslinian if it does not contain uncountably many mutually exclusive nondegenerate subcontinua. We prove that Suslinian continua are perfectly normal and rim-metrizable. Locally connected Suslinian ...
  • A new approach for solving evolution problems in time-parallel way 
    Nassif N.R.; Karam N.M.; Soukiassian Y. (, 2006)
    With the advent of massively parallel computers with thousands of processors, a large amount of work has been done during the last decades in order to enable a more effective use of a higher number of processors, by ...
  • Fourier restriction to convex surfaces of revolution in ℝ3 
    Abi-Khuzam F.; Shayya B. (, 2006)
    If F is a C3 hypersurface in ℝn and dσ is induced Lebesgue measure on Γ, then it is well known that a Tomas-Stein Fourier restriction estimate on Γ implies that Γ has a nowhere vanishing Gaussian curvature. In a recent ...
  • An affine restriction estimate in R3 
    Shayya B. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2007)
    We prove that the Fourier transform of an L4-3 function can be restricted to any compact convex C2 surface of revolution in R 3. © 2006 American Mathematical Society.
  • Superconducting quantum point contacts and Maxwell potential 
    Aly A.H.; Douari J. (SINGAPORE5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE, 2007)
    The quantization of the current in a superconducting quantum point contact is reviewed and the critical current is discussed at different temperatures depending on the carrier concentration as well by suggesting a constant ...
  • Electrified higher-dimensional brane intersections 
    Douari J. (AMSTERDAMPO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2007)
    We discuss the duality of intersecting D1-D5 branes in the low energy effective theory in the presence of electric field. This duality is found to be unbroken. We also deal with the solutions corresponding to two and three ...
  • Neumann boundary conditions from D1-brane description at the presence of electric field 
    Douari J. (AMSTERDAMPO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2007)
    We study the fluctuations of D 1 ⊥ D 3 branes from D1-brane description in the presence of world volume electric field. The fluctuations are found to obey Neumann boundary conditions separating the system into two regions ...
  • Uniqueness of harmonic mappings with Blaschke dilatations 
    Bshouty D.; Lyzzaik A.; Weitsman A. (WASHINGTON UNIVBOX 1146, WASHINGTON UNIV, MO 63130 USA, 2007)
    Let Ω be a bounded convex domain and let ω be a finite Blaschke product of order N = 1, 2,⋯ It is known that the elliptic differential equation f̄ z-f z = ω admits a one-to-one solution normalized by f(O) = O, f z(O) andgt; ...
  • Asymptotically fast group operations on Jacobians of general curves 
    Khuri-Makdisi K. (PROVIDENCE201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA, 2007)
    Let C be a curve of genus g over a field k. We describe probabilistic algorithms for addition and inversion of the classes of rational divisors in the Jacobian of C. After a precomputation, which is done only once for the ...
  • Modeling annual rainfall: A robust maximum likelihood approach 
    Haddad J.N.; Nimah M.N.; Farajallah N. (CHICHESTERTHE ATRIUM, SOUTHERN GATE, CHICHESTER PO19 8SQ, W SUSSEX, ENGLAND, 2007)
    Let [Xt] be a zero mean, Gaussian, autoregressive process of order one with parameter α. For a realization (X1, X 2, . . . , Xn)′ of [Xt], we consider the transformation Yt = Xt-Xt-1, for t = 2, . . . , n. Then the likelihood ...
  • The Monge-Ampère equation and warped products of higher rank 
    Bechtluft-Sachs S.; Samiou E. (, 2007)
    We show that a warped product Mf = ℝ × f ℝ has higher rank and nonpositive curvature if and only if f is a convex solution of the Monge-Ampère equation. In this case we show that M contains a Euclidean factor. © 2007 ...
  • Determination of the mechanical properties of a solid elastic medium from a seismic wave propagation using two statistical estimators 
    Zein S.; Canot E.; Erhel J.; Nassif N. (LONDON1 OLIVERS YARD, 55 CITY ROAD, LONDON EC1Y 1SP, ENGLAND, 2008)
    In this paper, we study an inverse problem consisting in the determination of the mechanical properties of a layered solid elastic medium in contact with a fluid medium by measuring the variation of the pressure in the ...

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