total 2922took 0.12s

Identifying Mild Traumatic Brain Injury Patients From MR Images Using Bag of Visual WordsOct 18 2017Feb 14 2018Mild traumatic brain injury (mTBI) is a growing public health problem with an estimated incidence of one million people annually in US. Neurocognitive tests are used to both assess the patient condition and to monitor the patient progress. This work aims ... More

Universal power-law scaling of water diffusion in human brain defines what we see with MRISep 28 2016Development of successful therapies for neurological disorders depends on our ability to diagnose and monitor the progression of underlying pathologies at the cellular level. Physics and physiology limit the resolution of human MRI to millimeters, three ... More

Mapping orientational and microstructural metrics of neuronal integrity with in vivo diffusion MRISep 28 2016Diagnosis of brain disorders is hindered by the lack of an imaging technique that reveals the architecture of neuronal tissue at the cellular level, where the associated pathological processes develop. Accessing tissue integrity at the micrometer scale, ... More

Diffusion distinguishes between structural universality classes of disordered mediaJul 28 2016Identifying relevant parameters is central to understanding complex phenomena. This often evokes the concept of universality, which groups microscopically distinct systems into a handful of universality classes, according to the relevant degrees of freedom ... More

Characterizing microstructure of living tissues with time-dependent diffusionOct 10 2012Molecular diffusion measurements are widely used to probe microstructure in materials and living organisms noninvasively. The precise relation of diffusion metrics to microstructure remains a major challenge: In complex samples, it is often unclear which ... More

Quantifying brain microstructure with diffusion MRI: Theory and parameter estimationDec 06 2016We review, systematize and discuss models of diffusion in neuronal tissue, by putting them into an overarching physical context of coarse-graining over an increasing diffusion length scale. From this perspective, we view research on quantifying brain ... More

Random walk with barriers: Diffusion restricted by permeable membranesApr 15 2010Sep 20 2010Restrictions to molecular motion by barriers (membranes) are ubiquitous in biological tissues, porous media and composite materials. A major challenge is to characterize the microstructure of a material or an organism nondestructively using a bulk transport ... More

MTBI Identification From Diffusion MR Images Using Bag of Adversarial Visual FeaturesJun 27 2018In this work, we propose bag of adversarial features (BAF) for identifying mild traumatic brain injury (MTBI) patients from their diffusion magnetic resonance images (MRI) (obtained within one month of injury) by incorporating unsupervised feature learning ... More

A Deep Unsupervised Learning Approach Toward MTBI Identification Using Diffusion MRIFeb 08 2018Apr 11 2018Mild traumatic brain injury is a growing public health problem with an estimated incidence of over 1.7 million people annually in US. Diagnosis is based on clinical history and symptoms, and accurate, concrete measures of injury are lacking. This work ... More

A Deep Unsupervised Learning Approach Toward MTBI Identification Using Diffusion MRIFeb 08 2018Mild traumatic brain injury (mTBI) is a growing public health problem with an estimated incidence of one million people annually in US. Neurocognitive tests have been used to both assess the patient condition and to monitor the patient progress. This ... 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

Ergodic Banach problem on simple Lebesgue spectrum and flat polynomialsAug 26 2015Aug 07 2018We exhibit a sequence of flat polynomials with coefficients $0,1$. We thus get that there exist a sequences of Newman polynomials that are $L^\alpha$-flat, $0 \leq \alpha <2$. This settles an old question of Littlewood. In the opposite direction, we prove ... More

On the homogeneous ergodic bilinear averages with Möbius and liouville weightsJun 15 2017Aug 15 2018It is shown that the homogeneous ergodic bilinear averages with M\"{o}bius or Liouville weight converge almost surely to zero, that is, if $T$ is a map acting on a probability space $(X,\mathcal{A},\mu)$, and $a,b \in \mathbb{Z}$, then for any $f,g \in ... More

A new class of rank one transformations with singular spectrumApr 18 2007We introduce a new tool to study the spectral type of rank one transformations using the method of central limit theorem for trigonometric sums. We get some new applications.

Descent and Galois theory for Hopf categoriesFeb 04 2017Descent theory for linear categories is developed. Given a linear category as an extension of a diagonal category, we introduce descent data, and the category of descent data is isomorphic to the category of representations of the diagonal category, if ... More

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

Ergodic Banach problem, flat polynomials and Mahler's measures with combinatoricsAug 26 2015Jan 06 2016We construct a sequence of polynomials that are flat in the almost everywhere sense. The construction is done by appealing to the nice combinatorial properties of the Singer's sets and Sidon sets. As a consequence, we get a positive answer to Littlewood's ... 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

A simple proof of Bourgain's theorem on the singularity of the spectrum of Ornstein's mapsAug 26 2015Aug 30 2015We give a simple proof of Bourgain's theorem on the singularity of Ornstein's maps.

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 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

On the Erdös flat polynomials problem, Chowla conjecture and Riemann HypothesisSep 12 2016Jan 11 2017There 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

The Rudin-Shapiro polynomials and The Fekete polynomials are not $L^α$-flatMar 13 2016Apr 15 2016We establish that the Rudin-Shapiro polynomials are not $L^\alpha$-flat, for any $\alpha \geq 0$. We further prove that the "truncated" Rudin-Shapiro sequence cannot generate a sequence of $L^\alpha$-flat polynomials, for any $\alpha \geq 0$. In the appendix, ... 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

Resonant final-state interactions in D^0 -> \bar{K}^{0} η, \bar{K}^{0} η' DecayOct 13 1999We have investimated the effect of the isospin 1/2, J^P = 0^+ resonant state K^*_0(1950) on the decays D^0 ->\bar{K}^{0}\eta and D^0 ->\bar{K}^0 \eta' as a function of the branching ratio sum r =Br(K^*_0(1950)->\bar{K}^0\eta)+ Br(K^*_0(1950)->\bar{K}^0 ... 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

An Accurate Arabic Root-Based Lemmatizer for Information Retrieval PurposesMar 15 2012In spite of its robust syntax, semantic cohesion, and less ambiguity, lemma level analysis and generation does not yet focused in Arabic NLP literatures. In the current research, we propose the first non-statistical accurate Arabic lemmatizer algorithm ... 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

A cubic nonconventional ergodic average with Möbius and Liouville weightApr 03 2015May 16 2015It is shown that the cubic nonconventional ergodic average of order 2 with M\"obius and Liouville weight converge almost surely to zero. As a consequence, we obtain that the Ces\`aro mean of the self-correlations and some moving average of the self-correlations ... More

A cubic nonconventional ergodic average with multiplicative or Mangoldt weightsJun 17 2016We show that the cubic nonconventional ergodic averages of any order with a bounded multiplicative function weight converge almost surely to zero provided that the multiplicative function satisfies a strong Daboussi-Delange condition. We further obtain ... 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

A Combinatorial Interpretation of the LDU Decomposition of Totally Positive MatricesOct 26 2015We study the combinatorial description of the LDU decomposition of totally positive matrices. We give a description of the lower triangular L, the diagonal D, and the upper triangular U matrices of the LDU decomposition of totally positive matrices in ... More

On the pointwise convergence of the cubic average with multiplicative or von Mangoldt weightsJul 02 2018It is shown that the cubic nonconventional ergodic averages of any order with a bounded aperiodic multiplicative function or von Mangoldt weights converge almost surely.

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

Solitons on compact and noncompact spaces in large noncommutativityDec 28 2000Jan 06 2001We study solutions at the minima of scalar field potentials for Moyal spaces and torii in the large non-commutativity and interprete these solitons in terms of non-BPS D-branes of string theory. We derive a mass spectrum formula linking different D-branes ... More

Spin-Magnetic Field Interaction and Realization of Fractional SupersymmetryAug 06 2001The fractional supersymmetry in the case of the non-relativistic motion of one anyon with fractional spin is realized. Thus the associated Hamiltonian is discussed.

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 cubic nonconventional ergodic average with multiplicative or Mangoldt weightsJun 17 2016Nov 04 2016We show that the cubic nonconventional ergodic averages of any order with a bounded multiplicative function weight converge almost surely to zero provided that the multiplicative function satisfies a strong Daboussi-Delange condition. We further obtain ... 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

Propagation of initial errors on the parameters for linear and Gaussian state space modelsMar 14 2013For linear and Gaussian state space models parametrized by $\theta_0 \in \Theta \subset \R^{r}, r \geq 1$ corresponding to the vector of parameters of the model, the Kalman filter gives exactly the solution for the optimal filtering under weak assumptions. ... More

Resolution of a shock in hyperbolic systems modified by weak dispersionMar 07 2005Feb 06 2006We present a way to deal with dispersion-dominated ``shock-type'' transition in the absence of completely integrable structure for the systems that one may characterize as strictly hyperbolic regularized by a small amount of dispersion. The analysis is ... More

The thermodynamic limit of the Whitham equationsOct 13 2003The infinite-genus limit of the KdV-Whitham equations is derived. The limit involves special scaling for the associated spectral surface such that the integrated density of states remains finite as $N \to \infty$ (the thermodynamic type limit). The limiting ... More

Multipliers of uniform topological algebrasAug 19 2016Let $E$ 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

A real p-homogeneous seminorm with square property is submultiplicativeJan 09 2013Nov 27 2013We give a functional representation theorem for a class of real p-Banach algebras. This theorem is used to show that every p-homogeneous seminorm with square property on a real associative algebra is submultiplicative.

A remark on continuity of positive linear functionals on separable Banach *-algebrasJan 07 2013Apr 29 2014Using a variation of the Murphy-Varopoulos Theorem, we give a new proof of the following R.J.Loy Theorem: Let A be a separable Banach*-algebra with center Z such that ZA has at most countable codimension, then every positive linear functional on A is ... More

Controllability of fractional stochastic neutral functional differential equations driven by fractional Brownian motion with infinite delayApr 14 2016In this paper we study the controllability of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion in a real separable Hilbert space. The controllability results are obtained by using ... More

The Onsager AlgebraMay 27 2012In this thesis, four realizations of the Onsager algebra are explored. We begin with its original definition as introduced by Lars Onsager. We then examine how the Onsager algebra can be presented as a Lie algebra with two generators and two relations. ... More

Vers une interface pour l enrichissement des requetes en arabe dans un systeme de recherche d informationFeb 06 2014This presentation focuses on the automatic expansion of Arabic request using morphological analyzer and Arabic Wordnet. The expanded request is sent to Google.

1.5 billion words Arabic CorpusNov 12 2016This study is an attempt to build a contemporary linguistic corpus for Arabic language. The corpus produced, is a text corpus includes more than five million newspaper articles. It contains over a billion and a half words in total, out of which, there ... More

Hardy and Hardy-Sobolev inequalities on Riemannian manifoldsApr 04 2015Nov 13 2015Let $ (M,g) $ be a smooth compact Riemannian manifold of dimension $ N \geq 3 $. Given $p_0 \in M$, $\lambda \in \mathcal{R}$ and $\sigma \in (0,2]$, we study existence and non existence of minimizers of the following quotient: \begin{equation}\label{Paper ... More

$D_s^+ \to φρ^+$ DecayJan 08 1998Motivated by the experimental measurement of the decay rate, $\Gamma$, and the longitudinal polarization, $P_L$, in the Cabibbo favored decay $D_s^+\to \phi {\rho}^{+}$, we have studied theoretical prediction within the context of factorization approximation ... More

Kinetic models of immediate exchangeMay 06 2015We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or uni-directional ... More

Plancherel Theorem on the Symplectic Group SP(4,R)Aug 17 2016Let H be the 15- dimensional connected semisimple Lie group with its Iwasawa decomposition of H. Let G be the group of the semi direct product of H and the four dimensional real vector group . The goal of this paper is to define the Fourier transform ... More

Abstract Harmonic Analysis on the General Linear Group GL(n,R)Apr 20 2014Consider the general linear group, which is not connected but rather has two connected components, the matrices with positive determinant and the ones with negative determinant. Consider the Iwasawa decomposition of its special linear group. We adopt ... More

Stochastic Optimal Multi-Modes Switching with a Viscosity Solution ApproachFeb 07 2011We consider the problem of optimal multi-modes switching in finite horizon, when the state of the system, including the switching cost functions are arbitrary ($g_{ij}(t,x)\geq 0$). We show existence of the optimal strategy, and give when the optimal ... More

Deterministic Minimax Impulse Control in Finite Horizon: the Viscosity Solution ApproachMar 17 2010We study here the impulse control minimax problem. We allow the cost functionals and dynamics to be unbounded and hence the value functions can possibly be unbounded. We prove that the value function of the problem is continuous. Moreover, the value function ... More

On alternating sums of binomial coefficients and $q$-binomial coefficientsMar 12 2016Jun 04 2016In this paper we shall evaluate two alternating sums of binomial coefficients by a combinatorial argument. Moreover, by combining the same combinatorial idea with partition theoretic techniques, we provide $q$-analogues involving the $q$-binomial coefficients. ... More

Distributed Data and Programs SlicingFeb 24 2014This paper presents a new technique for data slicing of distributed programs running on a hierarchy of machines. Data slicing can be realized as a program transformation that partitions heaps of machines in a hierarchy into independent regions. Inside ... More

Ghost cohomologies and new discrete states in supersymmetric c=1 modelMay 09 2014As of today, string theory appears to be one of the most promising physical models unifying the fundamental interactions in nature, such as electromagnetic (gauge) interactions and the gravity. While the perturbative theory of strings appears to be well ... More

Lee-Yang Model in Presence of DefectsFeb 13 2015Feb 16 2015I choose the Lee-Yang model and go through different approaches to analyze it using the form factor approach and the bootstrap program, the lattice description and the lattice TBA equations for a full understanding of the model. The bootstrap program ... More

Multi-agents Architecture for Semantic Retrieving Video in Distributed EnvironmentJul 30 2014Jul 31 2014This paper presents an integrated multi-agents architecture for indexing and retrieving video information.The focus of our work is to elaborate an extensible approach that gathers a priori almost of the mandatory tools which palliate to the major intertwining ... More

A stochastic volatility model with jumpsMar 22 2006Oct 28 2011We consider a stochastic volatility model with jumps where the underlying asset price is driven by the process sum of a 2-dimensional Brownian motion and a 2-dimensional compensated Poisson process. The market is incomplete, resulting in infinitely many ... More

Combinatorial Identities Involving Mertens Function Through Relatively Prime SubsetsDec 08 2009In this note we give some identities which involve the Mertens function M(n). Our proofs are combinatorial with relatively prime subsets as a main tool.

An analogue of the Erdős-Kac theorem for the special linear group over the integersNov 05 2018Nov 06 2018We investigate the number of prime factors of individual entries for matrices in the special linear group over the integers. We show that, when properly normalised, it satisfies a central limit theorem of Erd\H{o}s-Kac-type. To do so, we employ a sieve-theoretic ... More

Proving some identities of Gosper on $q$-trigonometric functionsJan 11 2018Gosper introduced the functions $\sin_q z$ and $\cos_q z$ as $q$-analogues for the trigonometric functions $\sin z$ and $\cos z$ respectively. He stated but did not prove a variety of identities involving these two $q$-trigonometric functions. In this ... More

A note on maximal plurifinely plurisubharmonic functionsNov 02 2017In this note we study the plurifinely locally maximal plurifinely plurisubharmonic functions and improve some known results on these functions. We prove in particular that any locally bounded plurifinely locally maximal plurifinely plurisubharmonic function ... More

Optimal Multi-Modes Switching Problem in Infinite HorizonApr 04 2009This paper studies the problem of the deterministic version of the Verification Theorem for the optimal m-states switching in infinite horizon under Markovian framework with arbitrary switching cost functions. The problem is formulated as an extended ... More

A rate of convergence result for the largest eigenvalue of complex white Wishart matricesSep 30 2004Feb 28 2007It has been recently shown that if $X$ is an $n\times N$ matrix whose entries are i.i.d. standard complex Gaussian and $l_1$ is the largest eigenvalue of $X^*X$, there exist sequences $m_{n,N}$ and $s_{n,N}$ such that $(l_1-m_{n,N})/s_{n,N}$ converges ... More

Plancherel Theorem and the Left Ideals of the Group Algebra for the Jacobi GroupJan 11 2016Let G be the three dimensional connected real semisimple Lie group and let KAN be the Iwasawa decomposition of G.Let J be the Jacobi group, which is the semidirect product of the two groups Heisenberg group with G. The Jacobi group plays an important ... More

To Sense or Not To SenseJun 27 2012A longer sensing time improves the sensing performance; however, with a fixed frame size, the longer sensing time will reduce the allowable data transmission time of the secondary user (SU). In this paper, we try to address the tradeoff between sensing ... More

Compatibility Condition between ring and coringJan 23 2007We introduce the notion of bi-monoid in general monoidal category generalizing by this the notion of bialgebra. In the case of bimodules over a noncommutative algebra, we obtain a compatibility condition between ring and coring whenever both structures ... More

Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfacesFeb 12 2009This paper deals with eigenvalue optimization problems for a family of natural Schr\"odinger operators arising in some geometrical or physical contexts. These operators, whose potentials are quadratic in curvature, are considered on closed surfaces immersed ... More

Second Eigenvalue of the Yamabe Operator and ApplicationsApr 05 2012Let $(M, g)$ be a compact Riemannian manifold of dimension $n \geq 3$. In this paper, we give various properties of the eigenvalues of the Yamabe operator $L_g$. In particular, we show how the second eigenvalue of $L_g$ is related to the existence of ... More

Are Stock Markets Integrated? Evidence from a Partially Segmented ICAPM with Asymmetric EffectsMay 24 2009In this paper, we test a partially segmented ICAPM for two developed markets, two emerging markets and World market, using an asymmetric extension of the multivariate GARCH process of De Santis and Gerard (1997,1998). We find that this asymmetric process ... More

On geometrically transitive Hopf algebroidsAug 24 2015Dec 29 2017This paper contributes to the characterization of a certain class of commutative Hopf algebroids. It is shown that a commutative flat Hopf algebroid with a non zero base ring and a nonempty character groupoid is geometrically transitive if and only if ... More

Measuring and hedging financial risks in dynamical worldMay 01 2003Financial markets have developed a lot of strategies to control risks induced by market fluctuations. Mathematics has emerged as the leading discipline to address fundamental questions in finance as asset pricing model and hedging strategies. History ... More

Ample tangent bundle on smooth projective stacksNov 06 2016We study ample vector bundles on smooth projective stacks. In particular, we prove that the tangent bundle for the weighted projective stack $\mathbb{P}(a_0,...,a_n)$ is ample. A result of Mori shows that the only smooth projective varieties with ample ... 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

The Best Templates Match Technique For Example Based Machine TranslationJun 04 2014It has been proved that large scale realistic Knowledge Based Machine Translation applications require acquisition of huge knowledge about language and about the world. This knowledge is encoded in computational grammars, lexicons and domain models. Another ... More

A Lemma Based Evaluator for Semitic Language Text Summarization SystemsMar 22 2014Matching texts in highly inflected languages such as Arabic by simple stemming strategy is unlikely to perform well. In this paper, we present a strategy for automatic text matching technique for for inflectional languages, using Arabic as the test case. ... 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

Complexity of simple modules over the Lie superalgebra $\mathfrak{osp}(k|2)$Feb 03 2016The complexity of a module is the rate of growth of the minimal projective resolution of the module while the $z$-complexity is the rate of growth of the number of indecomposable summands at each step in the resolution. Let $\mathfrak{g}=\mathfrak{osp}(k|2)$ ... More

On the paper: Numerical radius preserving linear maps on Banach algebrasDec 20 2015In this note, we give a counterexample disproving two results in the above paper.

The singular values of the logarithmic potential transform on bound states spaces of Landau HamiltonianMar 01 2016The singular values of the logarithmic potential transform on the generalized Bergmann space is calculated explicitly, too behavior in infinity

Between Quantum Virasoro Algebra \cal{L}_c and Generalized Clifford AlgebrasOct 22 2003In this paper we construct the quantum Virasoro algebra ${\mathcal{L}}_{c}$ generators in terms of operators of the generalized Clifford algebras $C_{n}^{k}$. Precisely, we show that ${\mathcal{L}}_{c}$ can be embedded into generalized Clifford algebras. ... More

A Hybrid Algorithm for Matching Arabic NamesSep 22 2013In this paper, a new hybrid algorithm which combines both of token-based and character-based approaches is presented. The basic Levenshtein approach has been extended to token-based distance metric. The distance metric is enhanced to set the proper granularity ... More

On TDMA Optimality in Locally Connected Networks with no CSITNov 04 2016In this work, we study scenarios of wireless networks where using simple Time-Division-Multiple-Access (TDMA) is optimal if no channel state information is available at the transmitters (no CSIT). We consider single-hop locally connected interference ... More

On Black Attractors in 8D and Heterotic/Type IIA DualityNov 23 2010Jan 10 2011Motivated by the study of black attractors in 8D supergravity with 16 supersymmetries, we use the field theory approach and 8D supersymmetry with non trivial central charges to shed light on the exact duality between heterotic string on T^2 and type IIA ... More

NC Geometry and Fractional BranesNov 25 2003Considering complex $n$-dimension Calabi-Yau homogeneous hyper-surfaces $% \mathcal{H}_{n}$ with discrete torsion and using Berenstein and Leigh algebraic geometry method, we study Fractional D-branes that result from stringy resolution of singularities. ... More

On Flavor Symmetry in Lattice Quantum ChromodynamicsMar 27 2012Using a well established method to engineer non abelian symmetries in superstring compactifications, we study the link between the point splitting method of Creutz et al of refs [1,2] for implementing flavor symmetry in lattice QCD; and singularity theory ... More

Computing the Scalar Field Couplings in 6D SupergravityJun 19 2008Using non chiral supersymmetry in 6D space time, we compute the explicit expression of the metric the scalar manifold $SO(1,1) \times \frac{SO(4,20) }{SO(4) \times SO(20)}$ of the 10D type IIA superstring on generic K3. We consider as well the scalar ... More

Abstract Harmonic Analysis on SpacetimeApr 06 2014In this paper, we consider the Poincare group (space time). In mathematics, the Poincar\'e group of spacetime, named after Henri Poincar\'e, is the group of isometries of Minkowski spacetime, introduced by Hermann Minkowski. It is a non-abelian Lie group ... More

On the critical boundary RSOS \mathcal{M}(3,5) modelDec 07 2015Feb 16 2016We consider the critical non-unitary minimal model {\cal M}(3,5) with integrable boundaries. We analyze the patterns of zeros of the eigenvalues of the transfer matrix and then determine the spectrum of the critical theory through the Thermodynamic Bethe ... More

Solving MaxSAT by Successive Calls to a SAT SolverMar 11 2016The Maximum Satisfiability (MaxSAT) problem is the problem of finding a truth assignment that maximizes the number of satisfied clauses of a given Boolean formula in Conjunctive Normal Form (CNF). Many exact solvers for MaxSAT have been developed during ... More

Towards characterising polynomiality of $\frac{1-q^b}{1-q^a}{n\brack m}$ and applicationsApr 08 2016In this note we shall give conditions which guarantee that $\frac{1-q^b}{1-q^a}{n\brack m}\in\mathbb{Z}[q]$ holds. We shall provide a full characterisation for $\frac{1-q^b}{1-q^a}{ka\brack m}\in\mathbb{Z}[q]$. This unifies a variety of results already ... More

Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densitiesMar 09 2009In this paper, we study the model of Groma and Balogh describing the dynamics of dislocation densities. This is a two-dimensional model where the dislocation densities satisfy a system of two transport equations. The velocity vector field is the shear ... More

Travaux de Husain et al. sur la continuité automatique des caractèresJun 25 2015We give a survey of Husain, Ng and Liang's results concerning the automatic continuity of algebra homomorphisms. We also give the improvements obtained by Joseph, Akkar, Oudadess, Zelazko and ourselves.

On some automatic continuity theoremsJan 28 2013We give characterizations of unital uniform topological algebras and saturated locally multiplicatively convex algebras by means of multiplicative linear functionals. Some automatic continuity theorems in advertibly complete uniform topological algebras ... More

On the univalence of polyharmonic mappingsOct 04 2016A 2p-times continuously differentiable complex valued function $f = u + iv$ in a simply connected domain is polyharmonic (or p-harmonic) if it satisfies the polyharmonic equation $\Delta^pF = 0$ . Every polyharmonic mapping f can be written as $f(z) =\sum_{k}^{p} ... More