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Browsing Department of Mathematics by Title

Browsing Department of Mathematics by Title

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  • Big free groups are almost free 
    Tlas, Tamer (World Scientific, 2015)
    It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism. ...
  • Bounds for the multiplicity of gorenstein algebras 
    El Khoury, Sabine; Kummini, Manoj; Srinivasan, Hema (American Mathematical Society, 2015)
    We prove upper bounds for the Hilbert-Samuel multiplicity of standard graded Gorenstein algebras. The main tool that we use is Boij-Söderberg theory to obtain a decomposition of the Betti table of a Gorenstein algebra as ...
  • Bump functions with monotone Fourier transforms satisfying decay bounds 
    Tlas, Tamer (Academic Press Inc., 2022)
    The existence of a smooth, nonnegative, compactly supported function with monotone (on the half-line) Fourier transform satisfying two-sided decay bounds is demonstrated. © 2022 Elsevier Inc.
  • Class numbers and self-conjugate 7-cores 
    Ono, Ken; Raji, Wissam (Academic Press Inc., 2021)
    We investigate sc7(n), the number of self-conjugate 7-core partitions of size n. It turns out that sc7(n)=0 for n≡7(mod8). For n≡1,3,5(mod8), with n≢5(mod7), we find that sc7(n) is essentially a Hurwitz class number. Using ...
  • Conformal patterson-walker metrics 
    Hammerl, Matthias; Sagerschnig, Katja; Šilhan, Josef; Taghavi-Chabert, Arman; Žádník, Vojtěch (International Press of Boston, Inc., 2019)
    The classical Patterson-Walker construction of a split-signature (pseudo-)Riemannian structure from a given torsion-free affine connection is generalized to a construction of a splitsignature conformal structure from a ...
  • Construction of vector-valued modular integrals and vector-valued mock modular forms 
    Giménez, José; Mühlenbruch, Tobias; Raji, Wissam (Springer New York LLC, 2016)
    It is known that, given a vector-valued modular form of negative weight, its Fourier coefficients can be calculated based on the principal part of the form. In this paper we start with an arbitrary principal part and ...
  • Convergence of two-dimensional staggered central schemes on unstructured triangular grids 
    Jannoun, Ghina; Touma, Rony; Brock, Friedemann (Elsevier, 2015)
    In this paper, we present a convergence analysis of a two-dimensional central finite volume scheme on unstructured triangular grids for hyperbolic systems of conservation laws. More precisely, we show that the solution ...
  • Decay estimates for the arithmetic means of coefficients connected with composition operators 
    Abi-Khuzam, Faruk F. (Birkhauser, 2019)
    Let f∈ L∞(T) with ‖ f‖ ∞≤ 1. If f(0) ≠ 0 , n, k∈ Z, and bn , n - k= ∫ Ef(x) ne- 2 π i ( n - k ) xdx, E= { x∈ T: | f(x) | = 1 } , we prove that the arithmetic means 1N∑n=MM+N|bn,n-k|2 decay like {logNlog2N···logqN}-1 as N→ ...
  • Decomposable (4, 7) solutions in eleven-dimensional supergravity 
    Alekseevsky, Dmitri V.; Chrysikos, Ioannis; Taghavi-Chabert, Arman (Institute of Physics Publishing, 2019)
    We describe a class of decomposable eleven-dimensional supergravity backgrounds (M 10,1 = M∼ 3,1 × M 7 , gM = g∼ + g) which are products of a four-dimensional Lorentzian manifold and a seven-dimensional Riemannian manifold, ...
  • DEFORMATIONS OF CR MAPS AND APPLICATIONS 
    Della Sala, Giuseppe; Lamel, Bernhard; Reiter, Michael (International Press, Inc., 2021)
    We study the deformation theory of CR maps in the positive codimensional case. In particular, we study structural properties of the mapping locus E of (germs of nondegenerate) holomorphic maps H: (M, p) → M' between generic ...
  • Designing preference functions for de Bruijn sequences with forbidden words 
    Alhakim, Abbas M. (Springer, 2022)
    A preference function provides a method to build periodic sequences by specifying a set of rules that determine which symbols are to be attempted before others, when the sequence is constructed one symbol at a time. The ...
  • Discrete spread model for COVID-19: the case of Lebanon 
    Mourad, Ayman; Mroué, Fatima (Higher Education Press Limited Company, 2022)
    Background: Mathematical models are essential to predict the likely outcome of an epidemic. Various models have been proposed in the literature for disease spreads. Some are individual based models and others are compartmental ...
  • Distinguished curves and integrability in Riemannian, conformal, and projective geometry 
    Gover, A. Rod; Snell, Daniel; Taghavi-Chabert, Arman (International Press, Inc., 2022)
    We give a new characterisation of the unparametrised geodesics, or distinguished curves, for affine, pseudo-Riemannian, conformal, and projective geometry. This is a type of moving incidence relation. The characterisation ...
  • Explicit Computation of a Galois Representation Attached to an Eigenform Over SL 3 from the He´t2 of a Surface 
    Mascot, Nicolas (Springer, 2023)
    We describe a method to compute mod ℓ Galois representations contained in the He´t2 of surfaces. We apply this method to the case of a representation with values in GL 3(F9) attached to an eigenform over a congruence ...
  • Explicit construction of stationary discs and its consequences for nondegenerate quadrics 
    Bertrand, Florian; Meylan, Francine (Scuola Normale Superiore, 2023)
    We give an explicit construction of a key family of stationary discs attached to a nondegenerate model quadric in CN and derive a necessary condition for which (each lift) of those stationary discs is uniquely determined ...
  • Extremal and stationary discs for the kobayashi k-metric 
    Bertrand, Florian; Della Sala, Giuseppe; Joo, Jae-cheon (University of Michigan, 2020)
    We generalize Lempert's and Poletsky's works [11; 14] on the description of extremal discs for the Kobayashi metric to a higher order setting with k-stationarity condition introduced in [1]. © 2020 University of Michigan. ...
  • Fourier restriction in low fractal dimensions 
    Shayya, Bassam (Cambridge University Press, 2021)
    Let be a smooth compact hypersurface with a strictly positive second fundamental form, be the Fourier extension operator on, and be a Lebesgue measurable subset of. If contains a ball of each radius, then the problem of ...
  • Geometry of the weighted Fermat–Torricelli problem 
    Abi-Khuzam, Faruk F. (Birkhauser Verlag AG, 2014)
    Given a triangle A1A2A3 and weights m1, m2, m3, a geometric proof is given of (a) the existence of a point F whose weighted distance sum (Formula presented.)has the smallest possible value, (b) the value of this minimum, ...
  • Gibbsian Representations of Continuous Specifications: The Theorems of Kozlov and Sullivan Revisited 
    Barbieri, Sebastián; Gómez, Ricardo; Marcus, Brian H.; Meyerovitch, Tom; Taati, Siamak (Springer Science and Business Media Deutschland GmbH, 2021)
    The theorems of Kozlov and Sullivan characterize Gibbs measures as measures with positive continuous specifications. More precisely, Kozlov showed that every positive continuous specification on symbolic configurations of ...
  • Gromov hyperbolicity of strongly pseudoconvex almost complex manifolds 
    Bertrand, Florian; Gaussier, Hervé (American Mathematical Society, 2015)
    Let D = {ρ & 0} be a smooth relatively compact domain in an almost complex manifold (M,J), where ρ is a smooth defining function of D, strictly J-plurisubharmonic in a neighborhood of the closure D of D. We prove that D ...

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