AUB ScholarWorks

Browsing Department of Mathematics by Title

Browsing Department of Mathematics by Title

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  • Random matrix products when the top Lyapunov exponent is simple 
    Aoun, Richard; Guivarc'H, Yves (European Mathematical Society Publishing House, 2020)
    In the present paper, we treat random matrix products on the general linear group GL(V ), where V is a vector space over any local field, when the top Lyapunov exponent is simple, without the irreducibility assumption. In ...
  • Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative 
    Aoun, Richard; Sert, Cagri (Springer Science and Business Media Deutschland GmbH, 2022)
    The goal of this article is two-fold: in a first part, we prove Azuma–Hoeffding type concentration inequalities around the drift for the displacement of non-elementary random walks on hyperbolic spaces. For a proper ...
  • Riemann-hilbert problems with constraints 
    Bertrand, Florian; Della Sala, Giuseppe; Bracci, Filippo (American Mathematical Society, 2019)
    This paper is devoted to Riemann-Hilbert problems with constraints. We obtain results characterizing the existence of solutions as well as the dimension of the solution space in terms of certain indices. The results of ...
  • Rigorous computation of the endomorphism ring of a Jacobian 
    Costa, Edgar; Mascot, Nicolas; Sijsling, Jeroen; Voight, John (American Mathematical Society, 2018)
    We describe several improvements and generalizations to algorithms for the rigorous computation of the endomorphism ring of the Jacobian of a curve defined over a number field. © 2018 American Mathematical Society.
  • S-step enlarged Krylov subspace conjugate gradient methods 
    Moufawad, Sophie M. (Society for Industrial and Applied Mathematics Publications, 2020)
    Recently, enlarged Krylov subspace methods, which consist of enlarging the Krylov subspace by a maximum of t vectors per iteration based on the domain decomposition of the graph of A, were introduced with the aim of reducing ...
  • Scattering above energy norm of a focusing size-dependent log energy-supercritical Schrödinger equation with radial data below ground state 
    Roy, Tristan (Birkhauser, 2022)
    Given n∈ { 3 , 4 , 5 } and k> 1 (resp. 43>k>1) if n∈ { 3 , 4 } (resp. n= 5), we prove scattering of the radial H~ k: = H˙ k(Rn) ∩ H˙ 1(Rn) - solutions of the focusing log energy-supercritical Schrödinger equation ...
  • Self-stabilisation of Cellular Automata on Tilings 
    Fatès, Nazim; Marcovici, Irène; Taati, Siamak (IOS Press BV, 2022)
    Given a finite set of local constraints, we seek a cellular automaton (i.e., a local and uniform algorithm) that self-stabilises on the configurations that satisfy these constraints. More precisely, starting from a finite ...
  • Series expansion of the period function and representations of Hecke operators 
    Choi, Dohoon; Lim, Subong; Mühlenbruch, Tobias; Raji, Wissam (Academic Press Inc., 2017)
    The period polynomial of a cusp form of an integral weight plays an important role in the number theory. In this paper, we study the period function of a cusp form of real weight. We obtain a series expansion of the period ...
  • Special values of Hecke L-functions of modular forms of half-integral weight and cohomology 
    Kohnen, Winfried; Raji, Wissam (Springer International Publishing, 2018)
    We start developing a cohomology theory in the case of half-integral weight with an attempt to focus again on the connection to special values of L-functions at half-integral and integral points inside the critical strip. ...
  • Stationary discs and finite jet determination for non-degenerate generic real submanifolds 
    Bertrand, Florian; Blanc-Centi, Léa; Meylan, Francine (Academic Press Inc., 2019)
    Let M⊂CN be a generic real submanifold of class C4. In case M is Levi non-degenerate in the sense Tumanov, we construct stationary discs for M. If furthermore M satisfies an additional non-degeneracy condition, we apply ...
  • Stretching de Bruijn sequences 
    Alhakim, Abbas M.; Nouiehed, Maher (Springer New York LLC, 2017)
    We give a one-step construction of de Bruijn sequences of general alphabet size and with order n+ k, given a de Bruijn sequence of order n and any integer k> 1. This is achieved by using an appropriate class of graph ...
  • Subdivisions of oriented cycles in Hamiltonian digraphs with small chromatic number 
    El Joubbeh, Mouhamad (Elsevier B.V., 2023)
    Cohen et al. conjectured that, for each oriented cycle C, there exists an integer f(C) such that any f(C)-chromatic strong digraph contains a subdivision of C as a subdigraph. In the same paper, Cohen et al. proved this ...
  • Sufficient and necessary conditions for local rigidity of cr mappings and higher order infinitesimal deformations 
    Della Sala, Giuseppe; Lamel, Bernhard; Reiter, Michael (Homology, Homotopy and Applications, 2020)
    In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nonde-generate maps between minimal CR manifolds. ...
  • Tame Sets in Homogeneous Spaces 
    Andrist, Rafael B.; Ugolini, Riccardo (Birkhauser, 2022)
    We prove the existence of strongly tame sets in affine algebraic homogeneous spaces of linear algebraic Lie groups. We also show that (ℂn, A) enjoys the strong relative density property when A is a tame set, and we provide ...
  • The 1-jet determination of stationary discs attached to generic CR submanifolds 
    Bertrand, Florian; Meylan, Francine (Springer International Publishing, 2022)
    The existence of a non-defective stationary disc attached to a non-degenerate model quadric in CN is a necessary condition to ensure the unique 1-jet determination of the lifts of a key family of stationary discs [6]. In ...
  • The Borel map for compact sets in the plane 
    Cordaro, Paulo D.; Della Sala, Giuseppe; Lamel, Bernhard (Academic Press Inc., 2020)
    We discuss the Borel map at a point p∈Kˆ, where Kˆ is the polynomially convex hull of the compact set K⊂C, associating to every function f∈A∞(K) its formal Taylor series at p, and show that it satisfies an alternative ...
  • The Borel map in locally integrable structures 
    Della Sala, Giuseppe; Cordaro, Paulo D.; Lamel, Bernhard (Springer, 2020)
    Given a locally integrable structure V over a smooth manifold Ω and given p∈ Ω we define the Borel map ofV atp as the map which assigns to the germ of a smooth solution of V at p its formal Taylor power series at p. In ...
  • The central limit theorem for eigenvalues 
    Aoun, Richard (American Mathematical Society, 2021)
    We prove that the spectral radius of a strongly irreducible random walk on GLd(R) (or more generally the vector of moduli of eigenvalues of a Zariski-dense random walk on a linear reductive group) satisfies a central limit ...
  • The density property for calogero-moser spaces 
    Andrist, Rafael B. (American Mathematical Society, 2021)
    We prove the algebraic density property for the Calogero-Moser spaces Cn, and give a description of the identity component of the group of holomorphic automorphisms of Cn. © 2021 American Mathematical Society. All rights reserved.
  • The explicit minimal resolution constructed from a Macaulay inverse system 
    El Khoury, Sabine; Kustin, Andrew R. (Academic Press Inc., 2015)
    Let A be a standard-graded Artinian Gorenstein algebra of embedding codimension three over a field k. In the generic case, the minimal homogeneous resolution, G, of A, by free Sym•k(A1) modules, is Gorenstein-linear. Fix ...

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