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Lattice-induced photon scattering in an optical lattice clockFeb 08 2018We investigate scattering of lattice laser radiation in a strontium optical lattice clock and its implications for operating clocks at interrogation times up to several ten seconds. Rayleigh scattering does not cause significant decoherence of the atomic ... More

Comparison and evaluation of digital signature schemes employed in ndn networkAug 02 2015Named Data networking ensure data integrity so that every important data has to be signed by its owner in order to send it safely inside the network. Similarly, in NDN we have to assure that none could open the data except authorized users. Since only ... More

Re-thinking Enrolment in Identity Card SchemesMay 31 2011Many countries around the world have initiated national ID card programs in the last decade. These programs are considered of strategic value to governments due to its contribution in enhancing existing identity management systems. Considering the total ... More

Using Periodicity to Obtain Partition CongruencesSep 12 2016Nov 12 2016In this paper, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of calculations. Using periodicity for partition functions, our extended technique ... More

Monte-Carlo simulations of the dissipative random transverse-field Ising chainJul 26 2013We study the influence of Ohmic dissipation on the random transverse-field Ising chain by means of large-scale Monte-Carlo simulations. To this end, we first map the Hamiltonian onto a classical Ising model with long-range $1/\tau^2$ interaction in the ... More

Predictive genomics: A cancer hallmark network framework for predicting tumor clinical phenotypes using genome sequencing dataAug 09 2014We discuss a cancer hallmark network framework for modelling genome-sequencing data to predict cancer clonal evolution and associated clinical phenotypes. Strategies of using this framework in conjunction with genome sequencing data in an attempt to predict ... More

On the Capacity Bounds of Undirected NetworksApr 28 2008In this work we improve on the bounds presented by Li&Li for network coding gain in the undirected case. A tightened bound for the undirected multicast problem with three terminals is derived. An interesting result shows that with fractional routing, ... More

Quantum phase transition of the sub-Ohmic rotor modelOct 11 2011Nov 28 2011We investigate the behavior of an $N$-component quantum rotor coupled to a bosonic dissipative bath having a sub-Ohmic spectral density $J(\omega) \propto \omega^s$ with $s<1$. With increasing dissipation strength, this system undergoes a quantum phase ... More

On the k-pairs problemMay 01 2008We consider network coding rates for directed and undirected $k$-pairs networks. For directed networks, meagerness is known to be an upper bound on network coding rates. We show that network coding rate can be $\Theta(|V|)$ multiplicative factor smaller ... More

Incremental and Decremental Secret Key AgreementMay 06 2016We study the rate of change of the multivariate mutual information among a set of random variables when some common randomness is added to or removed from a subset. This is formulated more precisely as two new multiterminal secret key agreement problems ... More

Robust Lyapunov Functions for Reaction Networks: An Uncertain System FrameworkSep 07 2015We present a framework to transform the problem of finding a Lyapunov function of a Chemical Reaction Network (CRN) in concentration coordinates with arbitrary monotone kinetics into finding a common Lyapunov function for a linear parameter varying system ... More

The $\mathbb{Z}_2$-orbifold of the $\mathcal{W}_3$-algebraAug 22 2016The Zamolodchikov $\mathcal{W}_3$-algebra $\mathcal{W}^c_3$ with central charge $c$ has full automorphism group $\mathbb{Z}_2$. It was conjectured in the physics literature over 20 years ago that the orbifold $(\mathcal{W}^c_3)^{\mathbb{Z}_2}$ is of type ... More

On Holant Theorem and Its ProofMay 08 2010Holographic algorithms are a recent breakthrough in computer science and has found applications in information theory. This paper provides a proof to the central component of holographic algorithms, namely, the Holant theorem. Compared with previous works, ... More

A Note on Rickart ModulesSep 14 2016We study the notion of Rickart property in a general module theoretic setting as a generalization to the concept of Baer modules and right Rickart rings. A module $M_{R}$ is called Rickart if the right annihilator in $M_{R}$ of each left principal ideal ... More

Duality between Feature Selection and Data ClusteringSep 27 2016The feature-selection problem is formulated from an information-theoretic perspective. We show that the problem can be efficiently solved by a recently proposed info-clustering paradigm. This reveals the fundamental duality between feature selection and ... More

Joint Uplink/Downlink Optimization for Backhaul-Limited Mobile Cloud Computing with User SchedulingJul 21 2016Mobile cloud computing enables the offloading of computationally heavy applications, such as for gaming, object recognition or video processing, from mobile users (MUs) to cloudlet or cloud servers, which are connected to wireless access points, either ... More

Nonlinear Distortion Reduction in OFDM from Reliable Perturbations in Data CarriersJun 30 2015A novel method for correcting the effect of nonlinear distortion in orthogonal frequency division multiplexing signals is proposed. The method depends on adaptively selecting the distortion over a subset of the data carriers, and then using tools from ... More

Receiver-based Recovery of Clipped OFDM Signals for PAPR Reduction: A Bayesian ApproachOct 08 2014Oct 21 2014Clipping is one of the simplest peak-to-average power ratio (PAPR) reduction schemes for orthogonal frequency division multiplexing (OFDM). Deliberately clipping the transmission signal degrades system performance, and clipping mitigation is required ... More

An Overview of Video Allocation Algorithms for Flash-based SSD Storage SystemsApr 11 2012Despite the fact that Solid State Disk (SSD) data storage media had offered a revolutionary property storages community, but the unavailability of a comprehensive allocation strategy in SSDs storage media, leads to consuming the available space, random ... More

Noise and instability of an optical lattice clockJul 17 2015Nov 03 2015We present an analysis of the different types of noise from the detection and interrogation laser in our strontium lattice clock. We develop a noise model showing that in our setup quantum projection noise--limited detection is possible if more than 130~atoms ... More

Info-Clustering: A Mathematical Theory for Data ClusteringMay 04 2016Oct 05 2016We formulate an info-clustering paradigm based on a multivariate mutual information measure that naturally extends Shannon's mutual information between two random variables to the multivariate case involving more than two random variables. With proper ... More

Slow light with electromagnetically induced transparency in cylindrical waveguideDec 18 2014Jan 11 2015Slow light with electromagnetically induced transparency (EIT) in the core of cylindrical waveguide (CW) for an optical fiber system containing three-level atoms is investigated. The CW modes are treated in the weakly guiding approximation which renders ... More

Distributed Channel Estimation and Pilot Contamination Analysis for Massive MIMO-OFDM SystemsJul 29 2015Massive MIMO communication systems, by virtue of utilizing very large number of antennas, have a potential to yield higher spectral and energy efficiency in comparison with the conventional MIMO systems. In this paper, we consider uplink channel estimation ... More

Optimal non-coherent data detection for massive SIMO wireless systems: A polynomial complexity solutionNov 25 2014Massive MIMO systems have made significant progress in increasing spectral and energy efficiency over traditional MIMO systems by exploiting large antenna arrays. In this paper we consider the joint maximum likelihood (ML) channel estimation and data ... More

Modeling and Analysis of Abnormality Detection in Biomolecular Nano-NetworksMay 30 2012Sep 17 2012A scheme for detection of abnormality in molecular nano-networks is proposed. This is motivated by the fact that early diagnosis, classification and detection of diseases such as cancer play a crucial role in their successful treatment. The proposed nano-abnormality ... More

Software Requirements Specification of the IUfA's UUIS -- a Team 4 COMP5541-W10 Project ApproachMay 02 2010May 04 2010This document presents the business requirement of Unified University Inventory System (UUIS) in Technology-independent manner. All attempts have been made in using mostly business terminology and business language while describing the requirements in ... More

Software Design Document, Testing, Deployment and Configuration Management, and User Manual of the UUIS -- a Team 4 COMP5541-W10 Project ApproachMay 02 2010This document provides a description of the technical design for Unified University Inventory System - Web Portal. This document's primary purpose is to describe the technical vision for how business requirements will be realized. This document provides ... More

A strontium lattice clock with $3 \times 10^{-17}$ inaccuracy and its frequencyDec 12 2013Aug 15 2014We have measured the absolute frequency of the optical lattice clock based on $^{87}$Sr at PTB with an uncertainty of $3.9\times 10^{-16}$ using two caesium fountain clocks. This is close to the accuracy of today's best realizations of the SI second. ... More

Designing an upgrade of the Medley setup for light-ion production and fission cross-section measurementsJun 23 2015Measurements of neutron-induced fission cross sections and light-ion production are planned in the energy range 1-40 MeV at the upcoming Neutrons For Science (NFS) facility. In order to prepare our detector setup for the neutron beam with continuous energy ... More

Metamagnetic phase transition in the Ising plus Dzyaloshinskii-Moriya modelJun 18 2009We study the 1D ferromagnetic Ising (spin-1/2) model with the Dzyaloshinskii-Moriya (DM) interaction. We analyze the low energy excitation spectrum and the ground state magnetic phase diagram using the Lanczos method. The DM interaction-dependency is ... More

Robustness of a topological phase: Topological color code in parallel magnetic fieldNov 07 2012Apr 01 2013The robustness of the topological color code, which is a class of error correcting quantum codes, is investigated under the influence of an uniform magnetic field on the honeycomb lattice. Our study relies on two high-order series expansions using perturbative ... More

Systems of Cosserat--Zhilin in Newtonian MechanicsFeb 26 2016Mechanical systems of Cosserat--Zhilin are introduced as the main object of Newtonian (non--relativistic) mechanics on the base of new notions of vector calculus - sliders and screw measures (bi-measures). The differential equations of motion are derived ... More

Quantum phase transitions out of a Z2 x Z2 topological phaseAug 06 2013Dec 12 2013We investigate the low-energy spectral properties and robustness of the topological phase of color code, which is a quantum spin model for the aim of fault-tolerant quantum computation, in the presence of a uniform magnetic field or Ising interactions, ... More

Using Periodicity to Obtain Partition CongruencesSep 12 2016Sep 14 2016In this paper, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of calculations. Using periodicity for partition functions, our extended technique ... More

Exact Analysis of Level-Crossing Statistics for (d+1)-Dimensional Fluctuating SurfacesAug 07 2005Nov 13 2006We carry out an exact analysis of the average frequency $\nu_{\alpha x_i}^+$ in the direction $x_i$ of positive-slope crossing of a given level $\alpha$ such that, $h({\bf x},t)-\bar{h}=\alpha$, of growing surfaces in spatial dimension $d$. Here, $h({\bf ... More

Message Passing for Analysis and Resilient Design of Self-Healing Interdependent Cyber-Physical NetworksJun 03 2016Coupling cyber and physical systems gives rise to numerous engineering challenges and opportunities. An important challenge is the contagion of failure from one system to another, that can lead to large scale cascading failures. On the other hand, self-healing ... More

Error Correction Coding Meets Cyber-Physical Systems: Message-Passing Analysis of Self-Healing Interdependent NetworksSep 25 2016Coupling cyber and physical systems gives rise to numerous engineering challenges and opportunities. An important challenge is the contagion of failure from one system to another, which can lead to large-scale cascading failures. However, the \textit{self-healing} ... More

Gold nanoparticles-based brachytherapy enhancement in choroidal melanoma using a full Monte Carlo modelling of human eyeJun 17 2014Jan 13 2015The effects of gold nanoparticles in 125I brachytherapy dose enhancement on choroidal Melanoma are examined using the Monte Carlo simulation technique. Usually, Monte Carlo ophthalmic brachytherapy dosimetry is performed in a water phantom. However, here, ... More

Customers perception of mbanking adoption in Kingdom of Bahrain: an empirical assessment of an extended tam modelMar 12 2014Mar 25 2014Mobile applications have been rapidly changing the way business organizations deliver their services to their customers and how customers can interact with their service providers in order to satisfy their needs. The use of mobile applications increases ... More

Optimal Resource Allocation for Mobile Edge Computing-Based Augmented Reality ApplicationsNov 28 2016Mobile edge computing enables the provision of computationally demanding Augmented Reality (AR) applications on mobile devices. AR mobile applications have inherent collaborative properties in terms of data collection in the uplink, computing at the edge, ... More

Automatic Reference Models Development: A FrameworkJan 29 2014Software reuse allows the software industry to simultaneously reduce development cost and improve product quality. Reuse of early-stage artifacts has been acknowledged to be more beneficial than reuse of later-stage artifacts. In this regard, early-stage ... More

IRS for Computer Character Sequences Filtration: a new software tool and algorithm to support the IRS at tokenization processMar 02 2013Tokenization is the task of chopping it up into pieces, called tokens, perhaps at the same time throwing away certain characters, such as punctuation. A token is an instance of token a sequence of characters in some particular document that are grouped ... More

Multiple Window Moving Horizon EstimationFeb 13 2014Long horizon lengths in Moving Horizon Estimation are desirable to reach the performance limits of the full information estimator. However, the conventional MHE technique suffers from a number of deficiencies in this respect. First, the problem complexity ... More

A transportable optical lattice clock with $7\times10^{-17}$ uncertaintySep 20 2016We present a transportable optical clock (TOC) with $^{87}$Sr. Its complete characterization against a stationary lattice clock resulted in a systematic uncertainty of ${7.4 \times 10^{-17}}$ which is currently limited by the statistics of the determination ... More

Observation of VHE Gamma Radiation from HESS J1834-087/W41 with the MAGIC TelescopeApr 10 2006Recently, the HESS array has reported the detection of gamma-ray emission above a few hundred GeV from eight new sources located close to the Galactic Plane. The source HESS J1834-087 is spatially coincident with SNR G23.3-0.3 (W41). Here we present MAGIC ... More

Limits on diffuse fluxes of high energy extraterrestrial neutrinos with the AMANDA-B10 detectorMar 11 2003Data from the AMANDA-B10 detector taken during the austral winter of 1997 have been searched for a diffuse flux of high energy extraterrestrial muon-neutrinos, as predicted from, e.g., the sum of all active galaxies in the universe. This search yielded ... More

Distinguishing derived equivalence classes using the second Hochschild cohomology groupDec 15 2009Jan 20 2010In this paper we study the second Hochschild cohomology group of the preprojective algebra of type $D_4$ over an algebraically closed field $K$ of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which ... More

Non-nesting actions of Polish groups on pretreesJul 14 2006We study non-nesting actions of groups on real trees. We prove some fixed point theorems for such actions under the assumption that groups are Polish and have comeagre conjugacy classes.

On the fully commutative elements of type $\tilde C$ and faithfulness of related towersSep 03 2015Jul 15 2016We define a tower of injections of $\tilde{C}$-type Coxeter groups $W(\tilde C_{n})$ for $n\geq 1$. We define a tower of Hecke algebras and we use the faithfulness at the Coxeter level to show that this last tower is a tower of injections. Let $W^c(\tilde ... More

On Certain Projections of $C^*$-Matrix AlgebrasMay 05 2011H. Dye defined the projections $P_{i,j}(a)$ of a $C^*$-matrix algebra by {eqnarray*} P_{i,j}(a) &=& (1+aa^*)^{-1}\otimes E_{i,i} + (1+aa^*)^{-1}a \otimes E_{i,j} + a^*(1+aa^*)^{-1} \otimes E_{j,i} + a^*(1+aa^*)^{-1}a\otimes E_{j,j}, {eqnarray*} and he ... More

Stably ergodic diffeomorphisms which are not partially hyperbolicJun 08 2002We show stable ergodicity of a class of conservative diffeomorphisms which do not have any hyperbolic invariant subbundle. Moreover the uniqueness of SRB measures for non-conservative $C^1$ perturbations of such diffeomorphisms. This class contains strictly ... More

Plane Symmetric, Cylindrically Symmetric and Spherically Symmetric Black Holes Solutions of Einstein Field EquationsOct 19 2014Dec 30 2014In this paper we present Plane symmetric, Cylindrically Symmetric and Spherically Symmetric Black hole or Vacuum solutions of Einstein Field Equations(EFEs). Some of these solutions are new which we have not seen in the literature. This calculation will ... More

Formules explicites du noyau de la chaleur sur l'espace projectif quaternioniqueMar 25 2011In this note we give an explicit integral representation and an expanssion for the heat kernel $ H_n(t;x,y)$ associated to Fubini-Study Laplacians on quaternionic projective spaces $\mathbb{P}^n(\mathbb H)$, $n \geq 1$. This was possible by establishing ... More

The Effects of Cultural dimensions and Demographic Characteristics on E-learning AcceptanceJul 06 2016This study aims to develop and test an amalgamated conceptual framework based on Technology Acceptance Model (TAM) and other models from social psychology, such as theory of reasoned action and TAM2 that captures the salient factors influencing the user ... More

D-instantons in Klebanov-Witten modelMar 01 2016May 03 2016We study D-instanton solutions in type IIB supergravity on $AdS_5\times T^{1,1}$, which has a dual ${\cal N}=1$ $SU(N)\times SU(N)$ super Yang-Mills theory. Apart from ordinary D(-1)-brane instantons, we discuss wrapped D1-branes over minimal 2-cycles ... More

A Characterization of Modules with Cyclic SocleMay 03 2015In 2009, J. Wood [15] proved that Frobenius bimodules have the extension property for symmetrized weight compositions. Later, in [9], it was proved that having a cyclic socle is sufficient for satisfying the property, while the necessity remained an open ... More

Moser functions and fractional Moser-Trudinger type inequalitiesOct 22 2015We improve the sharpness of some fractional Moser-Trudinger type inequalities, particularly those studied by Lam-Lu and Martinazzi. As an application, improving upon works of Adimurthi and Lakkis, we prove the existence of weak solutions to the problem ... More

Structure of conformal metrics on $\mathbb{R}^n$ with constant $Q$-curvatureApr 27 2015In this article we study the nonlocal equation \begin{align} (-\Delta)^{\frac{n}{2}}u=(n-1)!e^{nu}\quad \text{in $\mathbb{R}^n$}, \quad\int_{\mathbb{R}^n}e^{nu}dx<\infty, \notag \end{align} which arises in the conformal geometry. Inspired by the previous ... More

Noncritical Holographic QCD in External Electric FieldFeb 22 2011Mar 07 2011We investigate behavior of a noncritical model in external electric field and explore its phase structure in the quenched approximation N_f>> N_c. We compute the conductivity of QCD plasma in this model and compare it with the predictions of Sakai-Sugimoto ... More

Efficient hierarchical analysis of the stability of a network through dimensional reduction of its influence topologyAug 20 2013Sep 25 2013The connection between network topology and stability remains unclear. General approaches that clarify this relationship and allow for more efficient stability analysis would be desirable. Inspired by chemical reaction networks, I demonstrate the utility ... More

Maximum FidelityJan 22 2013The most fundamental problem in statistics is the inference of an unknown probability distribution from a finite number of samples. For a specific observed data set, answers to the following questions would be desirable: (1) Estimation: Which candidate ... More

Sequential Consistency and Concurrent Data StructuresJun 16 2015Linearizability, the de facto correctness condition for concurrent data structure implementations, despite its intuitive appeal is known to lead to poor scalability. This disadvantage has led researchers to design scalable data structures satisfying consistency ... More

The heat equation for the Dirichlet fractional Laplacian with Hardy's potentials: properties of minimal solutions and blow-upJun 06 2016Local and global properties of minimal solutions for the heat equation generated by the Dirichlet fractional Laplacian negatively perturbed by Hardy's potentials on open subsets of $\R^d$ are analyzed. As a byproduct we obtain instantaneous blow-up of ... More

A Note on Positive Zero Divisors in C* AlgebrasJan 13 2013May 15 2013In this paper we concern with positive zero divisors in $C^{*}$ algebras. By means of zero divisors, we introduce a hereditary invariant for $C^{*}$ algebras. Using this invariant, we give an example of a $C^{*}$ algebra $A$ and a $C^{*}$ sub algebra ... More

On a critical Leray$-α$ model of turbulenceMar 03 2011This paper aims to study a family of Leray-$\alpha$ models with periodic bounbary conditions. These models are good approximations for the Navier-Stokes equations. We focus our attention on the critical value of regularization "$\theta$" that garantees ... More

Large Eddy Simulation for Turbulent Flows with Critical RegularizationJul 07 2011In this paper, we establish the existence of a unique "regular" weak solution to the Large Eddy Simulation (LES) models of turbulence with critical regularization. We first consider the critical LES for the Navier-Stokes equations and we show that its ... More

Wavelet analysis on symbolic sequences and two-fold de Bruijn sequencesJan 09 2016The concept of symbolic sequences play important role in study of complex systems. In the work we are interested in ultrametric structure of the set of cyclic sequences naturally arising in theory of dynamical systems. Aimed at construction of analytic ... More

Markov trace on a tower of affine Temperley-Lieb algebras of type $\tilde{A_{n}}$Nov 27 2013Jul 07 2015We define a tower of affine Temperley-Lieb algebras of type $\tilde{A_{n}}$. We prove that there exists a unique Markov trace on this tower, this trace comes from the Markov-Ocneanu-Jones trace on the tower of Temperley-Lieb algebras of type $A_{n}$.

Stochastic $φ^4-$Theory in the Strong Coupling LimitNov 15 2006The stochastic $\phi^4$-theory in $d-$dimensions dynamically develops domain wall structures within which the order parameter is not continuous. We develop a statistical theory for the $\phi^4$-theory driven with a random forcing which is white in time ... More

Multipole charge conservation and implications on electromagnetic radiationOct 10 2016It is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric multipole moments. The symmetries are residual gauge transformations surviving after fixing ... More

Generalized Fractional Order Derivatives, Its Properties and ApplicationsJun 20 2013The concept of fractional order derivative can be found in extensive range of many different subject areas. For this reason, the concept of fractional order derivative should be examined. After giving different methods mostly used in engineering and scientific ... More

Violation of Invariance of Measurement for GDP Growth Rate and its ConsequencesJul 17 2015Aug 04 2016The aim here is to address the origins of sustainability for the real growth rate in the United States. For over a century of observations on the real GDP per capita of the United States a sustainable two percent growth rate has been observed. To find ... More

Does Spin-Orbit Coupling Effect Favor Planar Structures for Small Platinum Clusters?Mar 26 2008We have performed full-relativistic density functional theory calculations to study the geometry and binding energy of different isomers of free platinum clusters Pt$_{n}$ ($n=4-6$) within the spin multiplicities from singlet to nonet. The spin-orbit ... More

Existence of entire solutions to a fractional Liouville equation in $\mathbb{R}^n$Feb 09 2015We study the existence of solutions to the problem $$ (-\Delta)^{\frac{n}{2}}u = Qe^{nu}\quad\text{in }\mathbb{R}^n, \quad V := \int_{\mathbb{R}^n}e^{nu}dx < \infty,$$ where $Q=(n-1)!$ or $Q=-(n-1)!$. Extending the works of Wei-Ye and Hyder-Martinazzi ... More

In-in formalism, pseudo-instantons and rethinking quantum cosmologyJun 27 2013Unlike flat space quantum field theories that focus on scattering amplitudes, the main observables in quantum cosmology are correlation functions. The systematic way of calculating correlators is called in-in formalism, which requires only a single asymptotic ... More

Cosmological Evolution of Vacuum and Cosmic AccelerationJun 03 2010Nov 18 2010It is known that the unregularized expressions for the stress-energy tensor components corresponding to subhorizon and superhorizon vacuum fluctuations of a massless scalar field in a Friedmann-Robertson-Walker background are characterized by the equation ... More

Cosmological particle creation: Fluctuations and an ensemble pictureOct 17 2008We point out that in the context of quantum fields in time dependent classical backgrounds, the number of created particles with a given momentum largely deviates about its mean value. Since the corresponding Fourier modes are nonlocal, this deviation ... More

A note on a relation between the Killing spinor and Einstein equationsFeb 01 1999It is shown that, under certain conditions, the existence of a Killing spinor on a bosonic background of a supergravity theory implies that the Einstein equations are also satisfied. As an application of the theorem, we obtain a new black fivebrane solution ... More

Comments on the Canonical Measure in CosmologyMar 13 2012May 14 2012In the mini-superspace approximation to cosmology, the canonical measure can be used to compute probabilities when a cutoff is introduced in the phase space to regularize the divergent measure. However, the region initially constrained by a simple cutoff ... More

Open Cosmic Strings in Black Hole Space-TimesOct 29 2002Nov 14 2002We construct open cosmic string solutions in Schwarzschild black hole and non-dilatonic black p-brane backgrounds. These strings can be thought to stretch between two D-branes or between a D-brane and the horizon in curved space-time. We study small fluctuations ... More

On some Frobenius groups with the same prime graph as the almost simple group PGL(2,49)Jan 02 2016The prime graph of a finite group $G$ is denoted by $\ga(G)$ whose vertex set is $\pi(G)$ and two distinct primes $p$ and $q$ are adjacent in $\ga(G)$, whenever $G$ contains an element with order $pq$. We say that $G$ is unrecognizable by prime graph ... More

Brane Cosmology with Non-Static BulkNov 22 2000We study the brane world motion in non-static bulk by generalizing the second Randall-Sundrum scenario Explicitly, we take the bulk to be a Vaidya-AdS metric, which describes the gravitational collapse of a spherically symmetric null dust fluid in Anti-de ... More

Level-Rank Duality in Kazama-Suzuki ModelsJan 28 2002Feb 13 2002We give a path-integral proof of level-rank duality in Kazama-Suzuki models for world-sheets of spherical topology.

M-Theory on Seven Manifolds with G-fluxesNov 23 2001We compactify M-theory on seven-manifolds with a warp-factor and G-fluxes on the internal space. Because of non-zero G-fluxes, we are forced to adopt a Majorana supersymmetry spinor ansatz which does not have the usual direct product structure of two ... More

Photonic and Leptonic Rare B DecaysJan 15 2001Some selected topics involving photonic and leptonic rare B decays are reviewed. The interest in their measurement for the CKM phenomenology is underlined. They are also potentially interesting in searching for physics beyond the standard model. This ... More

Classification of Two Dimensional N=4 Superconformal SymmetriesJun 14 1999Classification of N=4 superconformal symmetries in two dimensions is re-examined. It is proposed that apart from SU(2) and $SU(2)\times SU(2)\times U(1)$ their Kac-Moody symmetry can also be $SU(2)\times(U(1))^4$. These superconformal symmetries and corresponding ... More

Flavour Changing Neutral Current Processes in B DecaysFeb 12 1997We review the theory and experimental measurements in the flavour changing neutral current (FCNC) processes involving B decays in the context of the standard model (SM). The role of these processes in determining the weak mixing matrix elements is stressed. ... More

Rare B Decays in the Standard ModelOct 11 1996We discuss the electromagnetic-penguin-dominated radiative B decays $B \to X_s + \gamma, ~B^{\pm (0)} \to K^{*\pm (0)} + \gamma$, and $B_s \to \phi + \gamma$ in the context of the standard model (SM) and their Cabibbo-Kobayashi-Maskawa (CKM)-suppressed ... More

Structure evolution in atoms having phenomenon of electronic transitionsNov 04 2016In non-equilibrium processes, growing evidences indicate that atoms having outer shell of valence electrons not to be full execute electronic transitions while being heated locally. When one atom de-excites and emits a photon, it is absorbed by an adjacent ... More

Robustness of genuine tripartite entanglement under collective dephasingMay 26 2015We study robustness of genuine multipartite entanglement for a system of three qubits under collective dephasing. Using a computable entanglement monotone for multipartite systems, we found that almost every state is quite robust under this type of decoherence. ... More

Isomorphism classes for higher order tangent bundlesDec 23 2014Aug 10 2015The tangent bundle $T^kM$ of order $k$, of a smooth Banach manifold $M$ consists of all equivalent classes of curves that agree up to their accelerations of order $k$. In the previous work of the author he proved that $T^kM$, $1\leq k\leq \infty$, admits ... More

Semiparametric two-component mixture models under L-moments constraintsJun 28 2016We propose a structure of a semiparametric two-component mixture model when one component is parametric and the other is defined through L-moments conditions. Estimation of a two-component mixture model with an unknown component is very difficult when ... More

On the Boundaries of Trust and Security in Computing and Communications SystemsMar 20 2012This article analyzes trust and security in computing and communications systems. While in human-life, trust usually has some kind of commonly understood meaning, in the realm of computing and communications systems, it could be interpreted differently ... More

Necessary conditions for optimality for stochastic evolution equationsOct 24 2012Aug 27 2013This paper is concerned with providing the maximum principle for a control problem governed by a stochastic evolution system on a separable Hilbert space. In particular, necessary conditions for optimality for this stochastic optimal control problem are ... More

Self-injective algebras and the second Hochschild cohomology groupSep 07 2007Aug 22 2008In this paper we study the second Hochschild cohomology group ${HH}^2(\Lambda)$ of a finite dimensional algebra $\Lambda$. In particular, we determine ${HH}^2(\Lambda)$ where $\Lambda$ is a finite dimensional self-injective algebra of finite representation ... More

Measurement of the Reaction $^{12}C(ν_μ,μ^-) X$ Near ThresholdOct 21 1994Oct 25 1994The reaction $^{12}C(\nu_\mu,\mu^-) X$ has been measured near threshold using a $\pi ^+$ decay-in-flight $\nu_\mu$ beam from the Los Alamos Meson Physics Facility and a massive liquid scintillator neutrino detector (LSND). In the energy region $123.7 ... More

Towards a better understanding of the dual representation of phi divergencesJun 06 2015Oct 10 2015The aim of this paper is to study different estimation procedures based on $\varphi-$divergences. The dual representation of $\varphi-$divergences based on the Fenchel-Legendre duality is the main interest of this study. It provides a way to estimate ... More

Maximal $L^p-L^q$ regularity to the Stokes Problem with Navier boundary conditionsMay 17 2016We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor. This is fundamental and plays an important role in the associated parabolic problem ... More

An Intelligent Fire Alert System using Wireless Mobile CommunicationAug 01 2013The system has come to light through the way of inspiration to develop a compact system, based on the fundamental ideas of safety, security and control. Once this system is installed to operation specifying temperature and smoke threshold, in case of ... More

A Class of Strongly Homotopy Lie Algebras with Simplified sh-Lie StructuresAug 17 2003It is known that a single mapping defined on one term of a differential graded vector space extends to a strongly homotopy Lie algebra structure on the graded space when that mapping satisfies two conditions. This strongly homotopy Lie algebra is nontrivial ... More