Results for "Soueidy EL Gheteb"
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On the Erdös flat polynomials problemSep 12 2016There are no square $L^2$-flat sequences of polynomials of the type $$\frac{1}{\sqrt q}(\epsilon_0 + \epsilon_1z + \epsilon_2z^2 + \cdots + \epsilon_{q-2}z^{q-2} +\epsilon_q z^{q-1}),$$ where for each $j,~~ 0 \leq j\leq q-1,~\epsilon_j = \pm 1$. It follows ... More Oscillating sequences, Gowers norms and Sarnak's conjectureApr 18 2017Oct 05 2017It is shown that there is an oscillating sequence of higher order which is not orthogonal to the class of dynamical flow with topological entropy zero. We further establish that any oscillating sequence of order $d$ is orthogonal to any $d$-nilsequence ... More On the spectral type of some class of rank one flowsMay 24 2012Aug 10 2012It is shown that a certain class of Riesz product type measure on $\R$ is singular. This proves the singularity of the spectral types of some class of rank one flows. Our method is based on the extension of the Central Limit Theorem approach to the real ... More On the spectrum of $α$-rigid mapsFeb 16 2009Apr 02 2009It is shown that there exists an $\alpha$-rigid transformation with $\alpha$ less or equal to $\frac12$ whose spectrum has Lebesgue component. This answers the question raised by Klemes and Reinhold in \cite{Klemes-Reinhold}. We exhibit also a large class ... More On Veech's proof of Sarnak's theorem on the Möbius flowNov 15 2017Jan 28 2019We present Veech's proof of Sarnak's theorem on the M\"{o}bius flow which say that there is a unique admissible measure on the M\"{o}bius flow. As a consequence, we obtain that Sarnak's conjecture is equivalent to Chowla conjecture with the help of Tao's ... More Generalized Riesz Products on the Bohr compactification of $\R$Jun 03 2012Dec 19 2014We study a class of generalized Riesz products connected to the spectral type of some class of rank one flows on $\R$. Applying a Central Limit Theorem of Kac, we exhibit a large class of singular generalized Riesz products on the Bohr compactification ... More The PAH hypothesis after 25 yearsNov 15 2011The infrared spectra of many galactic and extragalactic objects are dominated by emission features at 3.3, 6.2, 7.7, 8.6 and 11.2 \mu m. The carriers of these features remained a mystery for almost a decade, hence the bands were dubbed the unidentified ... More D-branes on Noncommutative OrbifoldsMay 19 2001We study tachyon condensation on noncommutative toric orbifolds with a $Z_2$ discrete group and explore the various kins of brane bound states arising in the case of irrational values of the B-field. We show that $Z_$ symmetry of the orbifolds incorporates ... More Disjointness of the Möbius Transformation and Möbius FunctionNov 29 2017Apr 05 2018We study the distribution of the sequence of elements of the discrete dynamical system generated by the M\"obius transformation $x \mapsto (ax + b)/(cx + d)$ over a finite field of $p$ elements. Motivated by a recent conjecture of P. Sarnak, we obtain ... More Approximate transitivity property and Lebesgue spectrumMar 03 2009Mar 08 2009Exploiting a spectral criterion for a system not to be AT we give some new examples of zero entropy systems without the AT property. Our examples include those with finite spectral multiplicity -- in particular we show that the system arising from the ... More A note on actions with finite orbits on dendritesFeb 27 2019Apr 12 2019It is shown that the restriction of the action of any group with finite orbit on the minimal sets of dendrites is equicontinuous. Consequently, we obtain that the action of any amenable group and Thompson group on dendrite restricted on minimal sets is ... More Corings over rings with local unitsDec 30 2005Apr 27 2009We show that the category of corings over a fixed base ring with local units is equivalent to the category of comonads in (right) unital modules whose underlying functors preserve inductive limits. Changing base rings, we prove a bi-equivalence of bicategories. ... More On Black Hole Effective Potential in 6D/7D N=2 SupergravityMar 06 2008May 27 2008Using the harmonic superspace method and the duality between real and complex representations of hypermultiplets, we compute the explicit scalar field expression of the quaternionic metric $G_{mn}$ of the moduli space SO(1,1)x[SO(4,k)/(SO(4)xSO(k))] of ... More Tetrahedron in F-theory CompactificationJul 15 2009Complex tetrahedral surface $\mathcal{T}$ is a non planar projective surface that is generated by four intersecting complex projective planes $CP^{2}$. In this paper, we study the family $\{\mathcal{T}_{m}\} $ of blow ups of $\mathcal{T}$ and exhibit ... More Minimax Impulse Control Problems in Finite HorizonMay 04 2013We consider the problem of impulse control minimax in finite horizon, when cost functions $(C(t,x,\xi)>0)$. We show existence of value function of the problem. Moreover, the value function is characterized as the unique viscosity solution of an Isaacs ... More Limit Behaviour of Sequential Empirical Measure ProcessesOct 30 2008In this paper, we obtain some uniform laws of large numbers and functional central limit theorems for sequential empirical measure processes indexed by classes of product functions satisfying appropriate Vapnik-Chervonenkis properties. Network Routing Optimization Using Swarm IntelligenceSep 18 2012Aug 17 2015The aim of this paper is to highlight and explore a traditional problem, which is the minimum spanning tree, and finding the shortest-path in network routing, by using Swarm Intelligence. This work to be considered as an investigation topic with combination ... More Efficient techniques for mining spatial databasesJun 01 2012Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic information systems ... More A non-unital algebra has UUNP iff its unitization has UUNPDec 10 2015Let $A$ be a non-unital Banach algebra, S. J. Bhatt and H. V. Dedania showed that $A$ has the unique uniform norm property (UUNP) if and only if its unitization has UUNP. Here we prove this result for any non-unital algebra. On saturated uniformly A-convex algebrasJan 07 2013Aug 11 2014Following ideas of A.C.Cochran, we give a suitable definition of a saturated uniformly A-convex algebra. In the m-convex case, such algebra is a uniform topological one. Positive linear functionals on BP*-algebrasMay 07 2013Apr 12 2015Let A be a BP*-algebra with identity e, P_{1}(A) be the set of all positive linear functionals f on A such that f(e) = 1, and let M_{s}(A) be the set of all nonzero hermitian multiplicative linear functionals on A. We prove that M_{s}(A) is the set of ... More The (> Half) Empty UniverseApr 02 1997Voids are the most prominent feature of the large-scale structure of the universe. Still, they have been generally ignored in quantitative analysis of it, essentially due to the lack of an objective tool to identify the voids and to quantify them. To ... More Search for sharp neutrino features from dark matter decayJun 02 2016The discovery of a neutrino line or, more broadly, a sharp feature in neutrino data could provide a striking hint for the existence of the dark matter particle. We review here a search for sharp spectral features using neutrino data from IceCube. No significant ... More Weighted Hardy inequality on Riemannian manifoldsApr 04 2015Nov 13 2015Let $(M,g)$ be a smooth compact Riemannian manifold of dimension $N\geq 3$ and we let $\Sigma$ to be a closed submanifold of dimension $1 \leq k \leq N-2. $ In this paper we study existence and non-existence of minimizers of Hardy inequality with weight ... More Probabilistic pointer analysis for multithreaded programsDec 16 2011The use of pointers and data-structures based on pointers results in circular memory references that are interpreted by a vital compiler analysis, namely pointer analysis. For a pair of memory references at a program point, a typical pointer analysis ... More On a conjecture concerning some automatic continuity theoremsJan 12 2013Let A and B be commutative locally convex algebras with unit. A is assumed to be a uniform topological algebra. Let h be an injective homomorphism from A to B. Under additional assumptions, we characterize the continuity of the homomorphism h^(-1) / Im(h) ... More Intersection Theorems for Closed Convex Sets and ApplicationsJan 23 2015A number of landmark existence theorems of nonlinear functional analysis follow in a simple and direct way from the basic separation of convex closed sets in finite dimension via elementary versions of the Knaster-Kuratowski-Mazurkiewicz principle - which ... More On Relatively Prime Subsets and SupersetsOct 24 2009A nonempty finite set of positive integers A is relatively prime if gcd(A) = 1 and it is relatively prime to n if gcd(A [ fng) = 1. The number of nonempty subsets of A which are relatively prime to n is \Phi(A, n) and the number of such subsets of cardinality ... More NC Effective Gauge Model for Multilayer FQH StatesAug 20 2002We develop an effective field model for describing FQH states with rational filling factors that are not of Laughlin type. These kinds of systems, which concern single layer hierarchical states and multilayer ones, were observed experimentally; but have ... More Keyphrase Based Arabic Summarizer (KPAS)Jun 23 2012This paper describes a computationally inexpensive and efficient generic summarization algorithm for Arabic texts. The algorithm belongs to extractive summarization family, which reduces the problem into representative sentences identification and extraction ... More A note on actions with finite orbits on dendritesFeb 27 2019It is shown that the restriction of the action of any group with finite orbit on the minimal sets of dendrites is equicontinuous. Consequently, we obtain that the action of any amenable group and Thompson group on dendrite restricted on minimal sets is ... More Helicity and partial wave amplitude analysis of D -> K^* ρdecayOct 14 1999We have carried out an analysis of helicity and partial-wave amplitudes for the process D -> K^* \rho in the factorization approximation using several models for the form factors. All the models, with the exception of one, generate partial-wave amplitudes ... More Multi-Topic Multi-Document SummarizerJan 03 2014Current multi-document summarization systems can successfully extract summary sentences, however with many limitations including: low coverage, inaccurate extraction to important sentences, redundancy and poor coherence among the selected sentences. The ... More A Blockchain Example for Cooperative Interference ManagementAug 04 2018We present an example where a distributed coordinated protocol supported by a blockchain-enabled monetary mechanism leads to achieving optimal information theoretic degrees of freedom gains. The considered setting is that of a linear interference network, ... More Graded q-pseudo-differential Operators and Supersymmetric AlgebrasNov 08 2000Dec 06 2000We give a supersymmetric generalization of the sine algebra and the quantum algebra $U_{t}(sl(2))$. Making use of the $q$-pseudo-differential operators graded with a fermionic algebra, we obtain a supersymmetric extension of sine algebra. With this scheme ... More Topological SL(2) Gauge Theory on ConifoldJan 04 2006Using a two component $SL(2) $ isospinor formalism, we study the link between conifold $T^{\ast}\mathbb{S}^{3}$ and q-deformed non commutative holomorphic geometry in complex four dimensions. Then, thinking about conifold as a projective complex three ... More Hyperbolic Invariance in Type II SuperstringsFeb 20 2005We first review aspects of Kac Moody indefinite algebras with particular focus on their hyperbolic subset. Then we present two field theoretical systems where these structures appear as symmetries. The first deals with complete classification of $\mathcal{N}=2$ ... More Critical density of a soliton gasDec 08 2015Feb 15 2016We quantify the notion of a dense soliton gas by establishing an upper bound for the integrated density of states of the quantum-mechanical Schr\"odinger operator associated with the KdV soliton gas dynamics. As a by-product of our derivation we find ... More On uniform topological algebrasJan 20 2013Oct 18 2013The uniform norm on a uniform normed Q-algebra is the only uniform Q-algebra norm on it. The uniform norm on a regular uniform normed Q-algebra with unit is the only uniform norm on it. Let A be a uniform topological algebra whose spectrum M (A) is equicontinuous, ... More On geometrically transitive Hopf algebroidsAug 24 2015Oct 26 2015This paper contributes in the characterization of a certain class of commutative Hopf algebroids. It is shown that a given commutative flat Hopf algebroid with a non trivial base ring and a non empty characters groupoid, is geometrically transitive if ... More Optimal Spectrum Access for Cognitive RadiosAug 22 2012Mar 24 2013In this paper, we investigate a time-slotted cognitive setting with buffered primary and secondary users. In order to alleviate the negative effects of misdetection and false alarm probabilities, a novel design of spectrum access mechanism is proposed. ... More Multipliers of uniform topological algebrasAug 19 2016Jan 22 2017Let $E$ be a complete uniform topological algebra with Arens-Michael normed factors $\left(E_{\alpha}\right)_{\alpha\in\Lambda}.$ Then $M\left(E\right) \cong \varprojlim M\left(E_{\alpha}\right)$ within an algebra isomorphism $\varphi$. If each factor ... More The spectrum of kernel random matricesJan 04 2010We place ourselves in the setting of high-dimensional statistical inference where the number of variables $p$ in a dataset of interest is of the same order of magnitude as the number of observations $n$. We consider the spectrum of certain kernel random ... More Extended Distributive Law: Co-wreath over co-ringsDec 28 2006A basic theory of cowreath or extended distributive laws in the bicategory of unital bimodules, is deciphered. Precisely, we give in terms of tensor product over a scalar base ring, a simplest and equivalent definition for cowreath over coring and for ... More A gamma function in two variablesMay 09 2013We introduce a gamma function $\Ga(x,z)$ in two complex variables which extends the classical gamma function $\Ga(z)$ in the sense that $\lim_{x\to 1}\Ga(x,z)=\Ga(z)$. We will show that many properties which $\Ga(z)$ enjoys extend in a natural way to ... More On the pointwise convergence of multiple ergodic averagesJun 10 2014Apr 26 2017It is shown that there exist a subsequence for which the multiple ergodic averages of commuting invertible measure preserving transformations of a Lebesgue probability space converge almost everywhere provided that the maps are weakly mixing with an ergodic ... More Graded Brauer groups of a groupoid with involutionFeb 09 2012Feb 23 2014We define a group $RBr(\mathcal{G})$ containing, in a sense, the graded complex and orthogonal Brauer groups of a locally compact groupoid $\mathcal{G}$ equipped with an involution. When the involution is trivial, we show that the new group naturally ... More On groupoids with involutions and their cohomologyFeb 01 2012Feb 06 2012We extend the definitions and main properties of graded extensions to the category of locally compact groupoids endowed with involutions. We introduce Real \v{C}ech cohomology, which is an equivariant-like cohomology theory suitable for the context of ... More Crossed extensions and equivalences of topological 2-groupoidsFeb 06 2018We provide concrete models for generalized morphisms and Morita equivalences of topological 2-groupoids by introducing the notions of crossings and crossed extensions of groupoid crossed modules. A systematic study of these objects is elaborated and an ... More On the Construction of Generalized Grassmann Coherent StatesNov 07 2005A generalized definition of a deformation of the fermionic oscillator (k-fermionic oscillators) is proposed. Two prescriptions for the construction of generalized Grassmann coherent states for this kind of oscillators are derived. The two prescriptions ... More Quark Flavor Physics ReviewMar 20 2014I review the status of lattice-QCD calculations relevant to quark flavor physics. The recent availability of physical-mass ensembles with large physical volumes generated by a growing number of lattice collaborations is an exciting development and I discuss ... More