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On Isomorphism Classes and Invariants of Low Dimensional Complex Filiform Leibniz Algebras (PART 1)Oct 01 2007The paper aims to investigate the classification problem of low dimensional complex none Lie filiform Leibniz algebras. There are two sources to get classification of filiform Leibniz algebras. The first of them is the naturally graded none Lie filiform ... More

Future Large-Scale Memristive Device Crossbar Arrays: Limits Imposed by Sneak-Path Currents on Read OperationsJul 08 2015Passive crossbar arrays based upon memristive devices, at crosspoints, hold great promise for the future high-density and non-volatile memories. The most significant challenge facing memristive device based crossbars today is the problem of sneak-path ... More

Non-volatile Complementary Resistive Switch-based Content Addressable MemoryAug 18 2011Oct 16 2011This paper presents a novel resistive-only Binary and Ternary Content Addressable Memory (B/TCAM) cell that consists of two Complementary Resistive Switches (CRSs). The operation of such a cell relies on a logic$\rightarrow$ON state transition that enables ... More

An Analytical Approach for Memristive NanoarchitecturesJun 15 2011Dec 13 2011As conventional memory technologies are challenged by their technological physical limits, emerging technologies driven by novel materials are becoming an attractive option for future memory architectures. Among these technologies, Resistive Memories ... More

Supervised Texture Segmentation: A Comparative StudyJan 02 2016This paper aims to compare between four different types of feature extraction approaches in terms of texture segmentation. The feature extraction methods that were used for segmentation are Gabor filters (GF), Gaussian Markov random fields (GMRF), run-length ... More

Memristor-based Synaptic Networks and Logical Operations Using In-Situ ComputingAug 21 2011We present new computational building blocks based on memristive devices. These blocks, can be used to implement either supervised or unsupervised learning modules. This is achieved using a crosspoint architecture which is an efficient array implementation ... More

Superconducting energy gap of $2H$-NbSe$_2$ in phonon spectroscopyOct 01 2016We present a high energy-resolution inelastic x-ray scattering data investigation of the charge-density-wave (CDW) soft phonon mode upon entering the superconducting state in $2H$-NbSe$_2$. Measurements were done close to the CDW ordering wavevector $\mathbf{q}_{CDW}$ ... More

Analytical Model of the Time Developing Turbulent Boundary LayerJun 04 2007We present an analytical model for the time-developing turbulent boundary layer (TD-TBL) over a flat plate. The model provides explicit formulae for the temporal behavior of the wall-shear stress and both the temporal and spatial distributions of the ... More

Embedded Bandits for Large-Scale Black-Box OptimizationNov 27 2016Random embedding has been applied with empirical success to large-scale black-box optimization problems with low effective dimensions. This paper proposes the EmbeddedHunter algorithm, which incorporates the technique in a hierarchical stochastic bandit ... More

BMOBench: Black-Box Multi-Objective Optimization Benchmarking PlatformMay 23 2016This document briefly describes the Black-Box Multi-Objective Optimization Benchmarking (BMOBench) platform. It presents the test problems, evaluation procedure, and experimental setup. To this end, the BMOBench is demonstrated by comparing recent multi-objective ... More

Arithmetic differential equations and $E$-functionsNov 12 2005Let $K$ be a number field. We give an arithmetic characterization at infinity of the differential operator of $K[x,d/dx]$ with minimal degree in $x$ annihilating a given $E$-function.

A random string with reflection in a convex domainApr 07 2010Apr 12 2010We study the motion of a random string in a convex domain $O$ in $\R^d$, namely the solution of a vector-valued stochastic heat equation, confined in the closure of $O$ and reflected at the boundary of $O$. We study the structure of the reflection measure ... More

Exemples de composantes irréductibles et non réduites du schéma de Hilbert des courbes lisses et connexes de ${\bf P}^3$ (II)Jan 29 1997Soit $H_{d,g}$ le sch\'ema de Hilbert des courbes lisses et connexes de degr\'e $d$ et genre $g$ de l'espace projectif ${\bf P}^3$ sur un corps $k$ alg\'ebriquement clos de caract\'eristique nulle. Le but principal de cet article est d'exhiber des composantes ... More

An arithmetic study of the formal Laplace transform in several variablesMar 24 2011Let $K$ be a number field, and let $K(x_1,...,x_d)$ be the field of rational fractions in the variables $x_1,...,x_d$. In this paper, we introduce two kinds of Laplace transform adapted to solutions of the differential $K(x_1,...,x_d)$-modules with regular ... More

TopCom: Index for Shortest Distance Query in Directed GraphFeb 04 2016Dec 05 2016Finding shortest distance between two vertices in a graph is an important problem due to its numerous applications in diverse domains, including geo-spatial databases, social network analysis, and information retrieval. Classical algorithms (such as, ... 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

Witten-Hodge theory on manifolds with boundary and equivariant cohomologyApr 15 2010May 06 2011We consider a compact, oriented, smooth Riemannian manifold $M$ (with or without boundary) and we suppose $G$ is a torus acting by isometries on $M$. Given $X$ in the Lie algebra and corresponding vector field $X_M$ on $M$, one defines Witten's inhomogeneous ... More

Double polarization asymmetry as a possible filter for $Θ^+$'s parityDec 25 2003Mar 07 2004We present an analysis of the Beam-Target double polarization asymmetry for the photoproduction of $\Theta^+$ in $\gamma n\to \Theta^+ K^-$. We show that this quantity can serve as a filter for the determination of the $\Theta^+$'s spin-parity assignment ... More

An Efficient Framework for Floor-plan Prediction of Dynamic Runtime Reconfigurable SystemsSep 29 2016Several embedded application domains for reconfigurable systems tend to combine frequent changes with high performance demands of their workloads such as image processing, wearable computing and network processors. Time multiplexing of reconfigurable ... More

Generalized Dirichlet to Neumann operator on invariant differential forms and equivariant cohomologyOct 03 2010In a recent paper, Belishev and Sharafutdinov consider a compact Riemannian manifold $M$ with boundary $\partial M$. They define a generalized Dirichlet to Neumann (DN) operator $\Lambda$ on all forms on the boundary and they prove that the real additive ... More

Cr doped III-V nitrides: potential candidates for spintronicsJan 21 2011Studies of Cr-doped III-V nitrides, dilute magnetic alloys, in the zinc-blende crystal structure are presented. The objective of the work is to investigate half-metallicity in Al(0.75)Cr(0.25)N, Ga(0.75)Cr(0.25)N and In(0.75)Cr(0.25)N for their possible ... More

Optimal control and zero-sum stochastic differential game problems of mean-field typeMar 19 2016We show existence of an optimal control and a saddle-point for respectively a control problem and zero-sum differential game associated with payoff functionals of mean field type, under dynamics driven by weak solutions of stochastic differential equations ... More

Pseudo-euclidean Jordan algebrasNov 22 2008A Jordan algebra J is said to be pseudo-euclidean if J is endowed with an associative non-degenerate symmetric bilinear form B. B is said an associative scalar product on J. First, we provide a description of the pseudo-euclidean Jordan K-algebras in ... More

Lp-Solutions for Reected Backward Stochastic Differential EquationsJul 11 2008This paper deals with the problem of existence and uniqueness of a solution for a backward stochastic differential equation (BSDE for short) with one reflecting barrier in the case when the terminal value, the generator and the obstacle process are Lp-integrable ... More

Functionally recursive rings of matrices-Two examplesDec 21 2008Oct 22 2009We define the notions of finite-state and functionally recursive matrices and their growth. We also introduce two rings generated by functionally recursive matrices. The first is isomorphic to the 2-generated free ring. The second is a 2-generated monomial ... More

Virtual Endomorphisms of Nilpotent GroupsFeb 07 2006Oct 12 2006A virtual endomorphism of a group G is a homomorphism f from H into G where H is a subgroup of G of finite index m. The triple (G,H,f) produces a state-closed (or, self-similar) representation t of G on the 1-rooted m-ary tree. This paper is a study of ... More

Condensation of DeterminantsDec 05 2007In this paper we tried to condense the determinant of n square matrix to the determinant of (n - 1) square matrix with the mathematical proof.

Q-A: Towards the Solution of Usability-Security Tension in User AuthenticationJul 27 2014Users often choose passwords that are easy to remember but also easy to guess by attackers. Recent studies have revealed the vulnerability of textual passwords to shoulder surfing and keystroke loggers. It remains a critical challenge in password research ... More

Expectation values of local fields in Bullough-Dodd model and integrable perturbed conformal field theoriesSep 03 1997Exact expectation values of the fields e^{a\phi} in the Bullough-Dodd model are derived by adopting the ``reflection relations'' which involve the reflection S-matrix of the Liouville theory, as well as special analyticity assumption. Using this result ... More

Expectation values of boundary fields in the boundary sine-Gordon modelFeb 26 1997We propose an explicit expression for vacuum expectation values of the boundary field e^{ia\phi_{B}} in the boundary sine-Gordon model with zero bulk mass. This expression agrees with known exact results for the boundary free energy and with perturbative ... More

A Survey on Hardware Implementations of Visual Object TrackersNov 07 2017Visual object tracking is an active topic in the computer vision domain with applications extending over numerous fields. The main sub-tasks required to build an object tracker (e.g. object detection, feature extraction and object tracking) are computation-intensive. ... More

Viscosity solution of system of variational inequalities with interconnected bilateral obstacles and connections to multiple modes switching game of jump-diffusion processesJul 17 2015In this paper, we study a general class of nonlinear second-order variational inequalities with interconnected bilateral obstacles with non-local term, related to a multiple modes switching game with jumps. Using systems of penalized unilateral backward ... More

Autonomous Calibration of Single Spin Qubit OperationsApr 21 2017Fully autonomous precise control of qubits is crucial for quantum information processing, quantum communication, and quantum sensing applications. It requires minimal human intervention on the ability to model, to predict and to anticipate the quantum ... More

A Measurement of the W Boson MassDec 22 1997We report a measurement of the W boson mass based on an integrated luminosity of 82 pb$^{-1}$ from \ppbar collisions at $\sqrt{s}=1.8$ TeV recorded in 1994--1995 by the \Dzero detector at the Fermilab Tevatron. We identify W bosons by their decays to ... More

stdchk: A Checkpoint Storage System for Desktop Grid ComputingJun 25 2007Nov 23 2007Checkpointing is an indispensable technique to provide fault tolerance for long-running high-throughput applications like those running on desktop grids. This paper argues that a dedicated checkpoint storage system, optimized to operate in these environments, ... More

Electronic-government in Saudi Arabia: A positive revolution in the peninsulaMay 17 2012The informatization practice of countries all over the world has shown that the level of a government's informatization is one main factor that can affect its international competitive power. At present, e-government construction is regarded as one of ... More

Sampling in de Branges Spaces and Naimark DilationFeb 04 2016We consider the problem of sampling in de Branges spaces and develop some necessary conditions and some sufficient conditions for sampling sequences, which generalize some well-known sampling results in the Paley-Wiener space. These conditions are obtained ... More

Neutrosophic soft sets and neutrosophic soft matrices based on decision makingApr 02 2014Maji\cite{maj-13}, firstly proposed neutrosophic soft sets can handle the indeterminate information and inconsistent information which exists commonly in belief systems. In this paper, we have firstly redefined complement, union and compared our definitions ... More

On Classification of Finite-Dimensional Superbialgebras and Hopf SuperalgebrasJan 04 2013Jan 02 2014The purpose of this paper is to investigate finite-dimensional superbialgebras and Hopf superalgebras. We study connected superbialgebras and provide a classification of non-trivial superbialgebras and Hopf superalgebras in dimension $n$ with $n\leq 4$. ... More

Q^2 Dependence of the S_{11}(1535) Photocoupling and Evidence for a P-wave resonance in eta electroproductionApr 19 2007New cross sections for the reaction $ep \to e'\eta p$ are reported for total center of mass energy $W$=1.5--2.3 GeV and invariant squared momentum transfer $Q^2$=0.13--3.3 GeV$^2$. This large kinematic range allows extraction of new information about ... More

Ultracold atoms in an optical lattice with dynamically variable periodicityMay 26 2010Aug 12 2010The use of a dynamic "accordion" lattice with ultracold atoms is demonstrated. Ultracold atoms of $^{87}$Rb are trapped in a two-dimensional optical lattice, and the spacing of the lattice is then increased in both directions from 2.2 to 5.5 microns. ... More

Vector meson photoproduction studied in its radiative decay channelFeb 02 2005Apr 22 2005We provide an analysis of vector meson photoproduction in the channel of the vector meson decaying into a pseudoscalar meson plus a photon, i.e. $V\to P\gamma$. It is shown that non-trivial kinematic correlations arise from the measurement of the $P\gamma$ ... More

Evidence for Exotic J^{PC}=1^{-+} Meson Production in the Reaction pi- p --> eta pi- p at 18 GeV/cFeb 02 1999Jul 19 1999Details of the analysis of the eta pi- system studied in the reaction pi^{-} p --> eta pi^{-} p at 18 GeV/c are given. Separate analyses for the 2 gamma and pi+ pi- pi0 decay modes of the eta are presented. An amplitude analysis of the data indicates ... More

Damping of longitudinal magneto-acoustic oscillations in slowly varying coronal plasmaNov 11 2010We investigate the propagation of MHD waves in a homogenous, magnetized plasma in a weakly stratified atmosphere, representing hot coronal loops. In most of earlier studies a time-independent equilibrium is considered. Here we abandon this restriction ... More

Expectation values of descendent fields in the sine-Gordon modelJul 30 1998We obtain exactly the vacuum expectation values $<(\partial\phi)^2 ({\bar\partial}\phi) e^{i\alpha\phi}>$ in the sine-Gordon model and $<L_{-2}{\bar L}_{-2} \Phi_{l,k}>$ in $\Phi_{1,3}$ perturbed minimal CFT. We discuss applications of these results to ... More

Wave vector dependent electron-phonon coupling drives charge-density-wave formation in TbTe3Oct 28 2014Jun 29 2015We present a high energy-resolution inelastic x-ray scattering investigation of the soft phonon mode in the charge-density-wave system TbTe$_3$. We analyze our data based on lattice dynamical calculations using density-functional-perturbation-theory and ... More

Equations différentielles $p$-adiques et Séries Gevrey arithmétiquesNov 12 2005Let $K$ be a number field. This paper is devoted to a $p$-adic study of the algebraic differential equation of $K[x,d/dx]$ with minimal degree in $x$ annihilating a given $E$-function. Precisely, we prove a conjecture of yves Andr\'e (conjecture 4.7 of ... More

Growth factor in $f(T,\mathcal{T})$ gravityDec 03 2016We investigate the growth factor for sub-horizon modes during late times in $f(T,\mathcal{T})$ gravity, where $T$ is the torsion scalar and $\mathcal{T}$ is the trace of the stress-energy tensor. This is achieved by obtaining the modified M\'{e}sz\'{a}ros ... More

Effect of Mobility and Traffic Models on the Energy Consumption in MANET Routing ProtocolsApr 11 2013A Mobile Ad hoc Network (MANET) is a group of mobile nodes that can be set up randomly and formed without the need of any existing network infrastructure or centralized administration. In this network the mobile devices are dependent on battery power, ... More

The Automorphism Tower of Groups acting on Rooted TreesAug 13 2003Mar 14 2006The group of isometries W of a regular rooted tree, and many of its subgroups with branching structure, have groups of automorphisms induced by conjugation in W. This fact has stimulated the computation of the group of automorphisms of such well-known ... More

Laplacian eigenvalues functionals and metric deformations on compact manifoldsJan 26 2007In this paper, we investigate critical points of the Laplacian's eigenvalues considered as functionals on the space of Riemmannian metrics or a conformal class of metrics on a compact manifold. We obtain necessary and sufficient conditions for a metric ... More

The Finite Horizon Optimal Multi-Modes Switching Problem: the Viscosity Solution ApproachMay 09 2008In this paper we show existence and uniqueness of a solution for a system of m variational partial differential inequalities with inter-connected obstacles. This system is the deterministic version of the Verification Theorem of the Markovian optimal ... More

LISA-2020: An Intermediate Scale Space Gravitational Wave Observatory for This DecadeFeb 10 2013Over the last three decades, an exceptionally good science case has been made for pursuing gravitational wave (GW) astronomy. This has engendered a worldwide effort to detect the extremely weak signals generated by expected sources. With the next round ... More

A skew stochastic heat equationMay 13 2011Oct 21 2011We consider a stochastic heat equation driven by a space-time white noise and with a singular drift, where a local-time in space appears. The process we study has an explicit invariant measure of Gibbs type, with a non-convex potential. We obtain existence ... More

Viscosity solutions of systems of PDEs with interconnected obstacles and Multi modes switching problemsApr 14 2011Dec 09 2011This paper deals with existence and uniqueness, in viscosity sense, of a solution for a system of m variational partial differential inequalities with inter-connected obstacles. A particular case of this system is the deterministic version of the Verification ... More

Lattice dynamics and the nature of structural transitions in organolead halide perovskitesAug 18 2016Organolead halide perovskites are a family of hybrid organic-inorganic compounds whose remarkable optoelectronic properties have been under intensive scrutiny in recent years. Here we use inelastic X-ray scattering to study low-energy lattice excitations ... More

Straintronic magneto-tunneling-junction based ternary content addressable memoryOct 13 2016Oct 21 2016Straintronic magneto-tunneling junction (s-MTJ) switches, whose resistances are controlled with voltage-generated strain in the magnetostrictive free layer of the MTJ, are extremely energy-efficient switches that would dissipate a few aJ of energy during ... 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

Optic phonons and the soft mode in 2H-NbSe2Mar 26 2013May 23 2013We present an investigation of the lattice dynamics of the charge-density-wave compound 2H-NbSe2. We analyze the precise nature of the wave vector dependent electron-phonon coupling (EPC) and derive the bare dispersion of the charge-density-wave (CDW) ... More

Superconductivity and hybrid soft modes in TiSe$_2$Oct 04 2016The competition between superconductivity and other ground states of solids is one of the challenging topics in condensed matter physics. Apart from high-temperature superconductors [1,2] this interplay also plays a central role in the layered transition-metal ... More

Spin-Split Conduction band in \eb\ and Tuning of Half-Metallicity with External StimuliJul 06 2011We report Eu L3-edge resonant inelastic x-ray scattering (RIXS) investigation of the electronic structure of EuB6. We observe that the RIXS spectral weight around 1.1 eV increases dramatically when the system is cooled below the ferromagnetic ordering ... More

Observation of $X(3872)\to J/ψγ$ and search for $X(3872)\toψ'γ$ in B decaysMay 01 2011We report a study of $B\to (J/\psi \gamma) K$ and $B\to (\psi' \gamma)K$ decay modes using $772\times 10^{6}$ $B\bar{B}$ events collected at the \Upsilon(4S)$ resonance with the Belle detector at the KEKB energy-asymmetric $e^+ e^-$ collider. We observe ... More

Extended Phonon Collapse and the Origin of the Charge-Density-Wave in NbSe$_2$Mar 29 2011We report inelastic x-ray scattering measurements of the temperature dependence of phonon dispersion in the prototypical charge-density-wave (CDW) compound NbSe2. Surprisingly, acoustic phonons soften to zero frequency and become overdamped over an extended ... More

Finite-Temperature Properties of Ba(Zr,Ti)O$_3$ Relaxors From First PrinciplesJun 04 2012A first-principles-based technique is developed to investigate properties of Ba(Zr,Ti)O$_3$ relaxor ferroelectrics as a function of temperature. The use of this scheme provides answers to important, unresolved and/or controversial questions, such as: ... More

Water on hexagonal boron nitride from diffusion Monte CarloMay 13 2015Despite a recent flurry of experimental and simulation studies, an accurate estimate of the interaction strength of water molecules with hexagonal boron nitride is lacking. Here we report quantum Monte Carlo results for the adsorption of a water monomer ... More

Comparing Selected Criteria of Programming Languages Java, PHP, C++, Perl, Haskell, AspectJ, Ruby, COBOL, Bash Scripts and Scheme Revision 1.0 - a Team CPLgroup COMP6411-S10 Term ReportAug 20 2010Comparison of programming languages is a common topic of discussion among software engineers. Few languages ever become sufficiently popular that they are used by more than a few people or find their niche in research or education; but professional programmers ... More

Resonant Inelastic X-ray Scattering (RIXS) Spectra for Ladder CupratesJan 03 2008The ladder compound Sr$_{14}$Cu$_{24}$O$_{41}$ is of interest both as a quasi-one-dimensional analog of the superconducting cuprates and as a superconductor in its own right when Sr is substituted by Ca. In order to model resonant inelastic x-ray scattering ... More

Water on BN doped benzene: A hard test for exchange-correlation functionals and the impact of exact exchange on weak bindingNov 17 2016Density functional theory (DFT) studies of weakly interacting complexes have recently focused on the importance of van der Waals dispersion forces whereas, the role of exchange has received far less attention. Here, by exploiting the subtle binding between ... More

Generalized relativistic anisotropic models for compact starsNov 05 2015Nov 25 2015We present new anisotropic generalization of Buchdahl [1] type perfect fluid solution by using the method of earlier work [2]. In similar approach we have constructed the new pressure anisotropy factor ${\Delta}$ by the help both the metric potential ... More

Discovery of 6.035GHz Hydroxyl Maser Flares in IRAS18566+0408Apr 03 2012We report the discovery of 6.035GHz hydroxyl (OH) maser flares toward the massive star forming region IRAS18566+0408 (G37.55+0.20), which is the only region known to show periodic formaldehyde (4.8 GHz H2CO) and methanol (6.7 GHz CH3OH) maser flares. ... More

ExoMol molecular line lists - XVII The rotation-vibration spectrum of hot SO$_3$Jul 05 2016Sulphur trioxide (SO$_3$) is a trace species in the atmospheres of the Earth and Venus, as well as well as being an industrial product and an environmental pollutant. A variational line list for $^{32}$S$^{16}$O$_{3}$, named UYT2, is presented containing ... More

Optimized long-range corrected density functionals for electronic and optical properties of bare and ligated CdSe quantum dotsOct 25 2016The reliable prediction of optical and fundamental gaps of finite size systems using density functional theory requires to account for the potential self-interaction error, which is notorious for degrading the description of charge transfer transitions. ... More

Engineering One-Dimensional Quantum Stripes from Superlattices of Two-Dimensional Layered MaterialsOct 24 2016One-dimensional (1D) quantum systems, which are predicted to exhibit novel states of matter in theory, have been elusive in experiment. Here we report a superlattice method of creating artificial 1D quantum stripes, which offers dimensional tunability ... More

Description de la structure de certaines superalgèbres de Lie quadratiques via la notion de $T^*$-extensionFeb 17 2000In this note we introduce the notion of $T^*-$extension $T^*{\mathfrak g}$ of a Lie superalgebra ${\mathfrak g}$, i.e. an extension of ${\mathfrak g}$ by its dual space ${\mathfrak g}^*$. The natural pairing induces on $T^*{\mathfrak g}$ an even supersymmetric ... More

Large time behavior for the fast diffusion equation with critical absorptionSep 07 2014We study the large time behavior of nonnegative solutions to the Cauchy problem for a fast diffusion equation with critical zero order absorption $$ \partial_{t}u-\Delta u^m+u^q=0 \quad \quad \hbox{in} \ (0,\infty)\times\real^N\, $$ with $m_c:=(N-2)_{+}/N ... More

Mixture of neutral and dipolar-hard spheres confined in a slit pore: field-induced population inversion and demixingSep 01 2011We study by Monte Carlo simulation a binary mixture of neutral and dipolar hard-spheres with non-additive diameters. With a view to understanding the interplay between population inversion for an open pore and the demixing phase transitions, the mixture ... More

Decay Estimates for a Viscous Hamilton-Jacobi Equation with Homogenious Dirichet Boundary ConditionsSep 12 2006Global classical solutions to the viscous Hamilton-Jacobi equation with homogenious Dirichlet boundary conditions are shown to converge to zero at the same speed as the linear heat semigroup when p > 1. For p = 1, an exponential decay to zero is also ... More

Affine Automorphisms of Rooted TreesOct 28 2015We introduce a class of automorphisms of rooted $d$-regular trees arising from affine actions on their boundaries viewed as infinite dimensional vector spaces. This class includes, in particular, many examples of self-similar realizations of lamplighter ... More

Abelian state-closed subgroups of automorphisms of m-ary treesJun 18 2009Oct 22 2009The group A_{m} of automophisms of a one-rooted m-ary tree admits a diagonal monomorphism which we denote by x. Let A be an abelian state-closed (or self-similar) subgroup of A_{m}. We prove that the combined diagonal and tree-topological closure A* of ... More

On self-similarity of wreath products of abelian groupsOct 27 2016We prove that a self-similar free abelian group has finite rank. We apply the result to self-similar wreath products of abelian groups $G=BwrX$. We show that if $X$ is torsion-free, then $B$ is torsion of finite exponent. Furthemore, we construct a self-similar ... More

Sharp Decay Estimates and Vanishing Viscosity for Diffusive Hamilton-Jacobi EquationsNov 10 2008Sharp temporal decay estimates are established for the gradient and time derivative of solutions to a viscous Hamilton-Jacobi equation as well the associated Hamilton-Jacobi equation. Special care is given to the dependence of the estimates on the viscosity. ... More

Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifoldsJul 19 2011Mar 22 2012This is a revised version (minor changes and a deeper insight in the positive curvature case). We prove some Caccioppoli's inequalities for the traceless part of the second fundamental form of a complete, noncompact, finite index, constant mean curvature ... More

On Commutativity and Finiteness in GroupsNov 29 2007Jun 28 2009The second author introduced notions of weak permutability and commutativity between groups and proved the finiteness of a group generated by two weakly permutable finite groups. Two groups H,K weakly commute provided there exists a bijection f: H -> ... More

Relations on neutrosophic multi sets with propertiesJun 11 2015In this paper, we first give the cartesian product of two neutrosophic multi sets(NMS). Then, we define relations on neutrosophic multi sets to extend the intuitionistic fuzzy multi relations to neutrosophic multi relations. The relations allows to compose ... More

Universal inequalities for the eigenvalues of Schrodinger operators on submanifoldsFeb 11 2009We establish inequalities for the eigenvalues of Schr\"odinger operators on compact submanifolds (possibly with nonempty boundary) of Euclidean spaces, of spheres, and of real, complex and quaternionic projective spaces, which are related to inequalities ... More

On state-closed representations of restricted wreath product of groups of type G_{p,d}=C_{p}wrC^{d}May 19 2015Let $G_{p,d}$ be the restricted wreath product $C_{p} wr C^{d}$ where $C_{p}$ is a cyclic group of order a prime $p$ and $C^{d}$ a free abelian group of finite rank $d$. We study the existence of faithful state-closed (fsc) representations of $G_{p,d}$ ... More

Magnetism dependent phonon anomaly in LaFeAsO observed via inelastic x-ray scatteringJun 06 2012The phonon dispersion was measured at room temperature along (0,0,L) in the tetragonal phase of LaFeAsO using inelastic x-ray scattering. Spin-polarized first-principles calculations imposing various types of antiferromagnetic order are in better agreement ... 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

Design and Implementation of BCM Rule Based on Spike-Timing Dependent PlasticityApr 09 2012The Bienenstock-Cooper-Munro (BCM) and Spike Timing-Dependent Plasticity (STDP) rules are two experimentally verified form of synaptic plasticity where the alteration of synaptic weight depends upon the rate and the timing of pre- and post-synaptic firing ... More

Search for the decay $B^+\rightarrow\overline{K}{}^{*0}K^{*+}$ at BelleFeb 02 2015We report a search for the rare charmless decay $B^+\rightarrow\overline{K}{}^{*0}K^{*+}$ using a data sample of $772\times10^6$ $B\bar{B}$ pairs collected at the $\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ ... More

Measurement of $e^+e^- \to γχ_{cJ}$ via initial state radiation at BelleJun 17 2015Jul 07 2015The process $e^+e^- \to \gamma\chi_{cJ}$ ($J$=1, 2) is studied via initial state radiation using 980 fb$^{-1}$ of data at and around the $\Upsilon(nS)$ ($n$=1, 2, 3, 4, 5) resonances collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ ... More

A Neuromorphic VLSI Design for Spike Timing and Rate Based Synaptic PlasticityMar 30 2013Triplet-based Spike Timing Dependent Plasticity (TSTDP) is a powerful synaptic plasticity rule that acts beyond conventional pair-based STDP (PSTDP). Here, the TSTDP is capable of reproducing the outcomes from a variety of biological experiments, while ... More

Quark-Hadron Duality in Spin Structure Functions g1p and g1dJul 25 2006New measurements of the spin structure functions of the proton and deuteron g1p(x,Q2) and g1d(x,Q2) in the nucleon resonance region are compared with extrapolations of target-mass-corrected next-to-leading-order (NLO) QCD fits to higher energy data. Averaged ... More

Efficient Design of Triplet Based Spike-Timing Dependent PlasticityApr 08 2012Spike-Timing Dependent Plasticity (STDP) is believed to play an important role in learning and the formation of computational function in the brain. The classical model of STDP which considers the timing between pairs of pre-synaptic and post-synaptic ... More

Resonance fluorescence and laser spectroscopy of three-dimensionally confined excitons in monolayer WSe$_2$Apr 19 2016Resonant optical excitation of few-level quantum systems enables coherent quantum control, resonance fluorescence, and direct characterization of dephasing mechanisms. Experimental demonstrations have been achieved in a variety of atomic and solid-state ... 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 $A_{n}$.

Measurement of the Decays $\boldsymbol{B\toη\ellν_\ell}$ and $\boldsymbol{B\toη^\prime\ellν_\ell}$ in Fully Reconstructed Events at BelleMar 29 2017Nov 30 2017We report branching fraction measurements of the decays $B^+\to\eta\ell^+\nu_\ell$ and $B^+\to\eta^\prime\ell^+\nu_\ell$ based on 711~fb$^{-1}$ of data collected near the $\Upsilon(4S)$ resonance with the Belle experiment at the KEKB asymmetric-energy ... More

(10, k) Reversible MultiplesMar 21 2015Apr 20 2015We consider the integers having the property of reversing when multiplied by a specific integer k. First, we proved that k should be either 1, 4 or 9. Second, we classify these integers as (10, 1)- reverse multiples, (10, 4)- reverse multiples and (10, ... More