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Hadronic loop contributions to $J/ψ$ and $ψ^\prime$ radiative decays into $γη_c$ or $γη_c^\prime$Sep 28 2007Oct 22 2008Intermediate hadronic meson loop contributions to $J/\psi$, $\psi^\prime \to \gamma\eta_c$ ($\gamma\eta_c^\prime$) are studied apart from the dominant M1 transitions in an effective Lagrangian approach. Due to the property of the unique antisymmetric ... More

The MMP for deformations of Hilbert schemes of points on the projective planeDec 06 2013We study the birational geometry of deformations of Hilbert schemes of points on the projective plane P2. We complete the picture in the paper of Daniele Arcara, Aaron Bertram, Izzet Coskun and Jack Huizenga by giving an explicit correspondence between ... More

Constraint on intermediate-range gravity from earth-satellite and lunar orbiter measurements, and lunar laser rangingMay 18 2005In the experimental tests of gravity, there have been considerable interests in the possibility of intermediate-range gravity. In this paper, we use the earth-satellite measurement of earth gravity, the lunar orbiter measurement of lunar gravity, and ... More

Associated Production of Neutral Higgs Boson with Squark Pair in the Minimal Supersymmetric Standard Model with Explicit CP Violation at the CERN LHCJan 18 2006Apr 09 2006We investigate the associated production of neutral Higgs boson with squark pair in the minimal supersymmetric standard model with and without explicit CP violation, respectively. We show that the dominant productions in both cases are always ones of ... More

Blow-up of solutions to the nonlinear Schr$\bf{\ddot{O}}$dinger equations on standard N-sphere and hyperbolic N-spaceJan 07 2007In this paper, we partially settle down the long standing open problem of the finite time blow-up property about the nonlinear Schr$\ddot{o}$dinger equations on some Riemannian manifolds like the standard 2-sphere $S^2$ and the hyperbolic 2-space $H^{2}(-1)$. ... More

Precise measurement of coupling strength and high temperature quantum effect in a nonlinearly coupled qubit-oscillator systemAug 05 2017Jan 16 2018We study the coherence dynamics of a qubit coupled to a harmonic oscillator with both linear and quadratic interactions. As long as the linear coupling strength is much smaller than the oscillator frequency, the long time behavior of the coherence is ... More

Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problemApr 03 2007In this paper we study the shape of least-energy solutions to a singularly perturbed quasilinear problem with homogeneous Neumann boundary condition. We use an intrinsic variation method to show that at limit, the global maximum point of least-energy ... More

Combinatorial identities and Chern numbers of complex flag manifoldsFeb 06 2017We present in this article a family of new combinatorial identities via purely differential/complex geometry methods, which include as a speical case a unified and explicit formula for Chern numbers of all complex flag manifolds. Our strategy is to construct ... More

On the extremal total reciprocal edge-eccentricity of treesAug 24 2015The total reciprocal edge-eccentricity is a novel graph invariant with vast potential in structure activity/property relationships. This graph invariant displays high discriminating power with respect to both biological activity and physical properties. ... More

Propagation of moments and uniqueness of weak solutions to the Vlasov-Poisson-Fokker-Planck systemMar 15 2015Oct 18 2017In this paper, we prove the uniqueness of weak solutions to the Vlasov-Poisson-Fokker-Planck system in $C([0,T]; L^p)$, by assuming the solution has a local bounded density which tends to infinite with a "reasonable" rate as $t\to 0$. And particularly ... More

Structure Formation by the Fifth Force III: Segregation of Baryons and Dark MatterJan 18 2010May 23 2010In this paper we present the results of $N$-body simulations with a scalar field coupled differently to cold dark matter (CDM) and baryons. The scalar field potential and coupling function are chosen such that the scalar field acquires a heavy mass in ... More

A Realistic Cosmology Without Cold Dark MatterApr 20 2009May 11 2009We propose a new framework unifying cold dark matter (CDM) and Modified Newtonian Dynamics (MOND) to solve their respective problems on galactic scales and large scale structure formation. In our framework the dark matter clusters on large scales but ... More

Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfacesDec 08 2016Let X be a projective smooth holomorphic Poisson surface, in other words, whose anti-canonical divisor is effective. We show that moduli spaces of certain Bridgeland stable objects on X are smooth. Moreover, we construct Poisson structures on these moduli ... More

Dark Fluid: Towards a unification of empirical theories of galaxy rotation, Inflation and Dark EnergyApr 10 2008Empirical theories of Dark Matter like MOND gravity and of Dark Energy like f(R) gravity were motivated by astronomical data. But could these theories be branches rooted from a more general hence natural framework? Here we propose the natural Lagrangian ... More

Structure Formation by Fifth Force I: N-Body vs. Linear SimulationsJun 21 2009We lay out the frameworks to numerically study the structure formation in both linear and nonlinear regimes in general dark-matter-coupled scalar field models, and give an explicit example where the scalar field serves as a dynamical dark energy. Adopting ... More

Detecting relic gravitational waves in the CMB: The contamination caused by the cosmological birefringenceFeb 18 2014Sep 04 2014The B-mode polarization of the cosmic microwave background (CMB) radiation is an excellent information channel for the detection of relic gravitational waves. However, the detection is contaminated by the B-mode polarization generated by some other effects. ... More

Fusion procedure for Degenerate cyclotomic Hecke algebrasDec 13 2013The primitive idempotents of the generic degenerate cycloctomic Hecke algebras are derived by consecutive evaluations of a certain rational function. This rational function depends only on the Specht modules and the normalization factors are the weights ... More

A Kernel Method for Exact Tail Asymptotics --- Random Walks in the Quarter PlaneMay 17 2015In this paper, we propose a kernel method for exact tail asymptotics of a random walk to neighborhoods in the quarter plane. This is a two-dimensional method, which does not require a determination of the unknown generating function(s). Instead, in terms ... More

Fitting to data of superluminal neutrinos with phenomenological scenariosOct 30 2011We test several phenomenological scenarios of faster-than-light neutrinos, by fitting to the experimental data from OPERA, MINOS and Fermilab79. Our purpose is to see, from the perspective of the current data, whether or not the speed of the superluminal ... More

Discovery potential of Higgs boson pair production through 4$\ell$+$E\!\!/$ final states at a 100 TeV colliderApr 15 2016We explore the discovery potential of Higgs pair production at a 100 TeV collider via full leptonic mode. The same mode can be explored at the LHC when Higgs pair production is enhanced by new physics. We examine two types of fully leptonic final states ... More

Probe Higgs boson pair production via the $3 \ell 2 j$ + missing $E_T$ modeMar 26 2015Apr 01 2015We perform a detailed hadron-level study on the sensitivity of Higgs boson pair production via the $WW^{*}WW^{*}$ channel with the final state $3 \ell 2 j$ + missing $E_T$ at the LHC with the collision energy $\sqrt{S} = 14$ TeV and a future 100 TeV collider. ... More

Stability Analysis of Integral Delay Systems with Multiple DelaysJan 27 2015This note is concerned with stability analysis of integral delay systems with multiple delays. To study this problem, the well-known Jensen inequality is generalized to the case of multiple terms by introducing an individual slack weighting matrix for ... More

Fast and Accurate Computation of Exact Nonreflecting Boundary Condition for Maxwell's EquationsFeb 04 2013We report in this paper a fast and accurate algorithm for computing the exact spherical nonreflecting boundary condition (NRBC) for time-dependent Maxwell's equations. It is essentially based on a new formulation of the NRBC, which allows for the use ... More

Probing the Higgs boson-gluon coupling via the jet energy profile at $e^+e^-$ collidersMay 25 2018Nov 20 2018The effective coupling of the Higgs boson to a gluon pair is one of the most important parameters to test the Standard Model and search for the new physics beyond. In this paper, we propose several new observables based on the jet energy profile to extract ... More

Orbital and Mass Ratio Evolution of Protobinaries Driven by Magnetic BrakingOct 08 2012Nov 26 2012The majority of stars reside in multiple systems, especially binaries. The formation and early evolution of binaries is a longstanding problem in star formation that is not fully understood. In particular, how the magnetic field observed in star-forming ... More

Theoretical Models of the Galactic BulgeApr 20 2015Near infrared images from the COBE satellite presented the first clear evidence that our Milky Way galaxy contains a boxy shaped bulge. Recent years have witnessed a gradual paradigm shift in the formation and evolution of the Galactic bulge. Bulges were ... More

Additivity of entanglement of formation via entanglement-breaking spaceJan 14 2019We study the entanglement-breaking (EB) space, such that the entanglement of formation (EOF) of a bipartite quantum state is additive when its range is an EB subspace. We systematically construct the EB spaces in the Hilbert space $\bbC^m\otimes\bbC^3$, ... More

Graph homomorphisms on rectangular matrices over division rings IJan 25 2017May 19 2017Let $\mathbb{D}$ be a division ring, and let ${\mathbb{D}}^{m\times n}$ be the set of $m\times n$ matrices over $\mathbb{D}$. Two matrices $A,B\in {\mathbb{D}}^{m\times n}$ are adjacent if ${\rm rank}(A-B)=1$. By the adjacency, ${\mathbb{D}}^{m\times ... More

Mapping the Three-Dimensional "X-Shaped Structure" in Models of the Galactic BulgeNov 30 2015Numerical simulations have shown that the X-shaped structure in the Milky Way bulge can naturally arise from the bar instability and buckling instability. To understand the influence of the buckling amplitude on the morphology of the X-shape, we analyze ... More

The upstream magnetic field of collisionless GRB shocks: constraint by Fermi-LAT observationsApr 06 2010Apr 28 2011Long-lived >100 MeV emission has been a common feature of most Fermi-LAT detected gamma-ray bursts (GRBs), e.g., detected up to ~10^3s in long GRBs 080916C and 090902B and ~10^2s in short GRB 090510. This emission is consistent with being produced by ... More

Some Estimates for a Generalized Abreu's EquationMar 10 2016We study a generalized Abreu equation and derive some estimates.

Next-to-leading order QCD effects in associated charged Higgs and W boson production in the MSSM at the CERN Large Hadron ColliderOct 03 2007Dec 21 2007We present the calculations of the next-to-leading order (NLO) QCD corrections to the inclusive total cross sections for the associated production of the $W^{\pm}H^{\mp}$ through $b\bar{b}$ annihilation in the Minimal Supersymmetric Standard Model at ... More

Synthesizing Filamentary Structured Images with GANsJun 07 2017This paper aims at synthesizing filamentary structured images such as retinal fundus images and neuronal images, as follows: Given a ground-truth, to generate multiple realistic looking phantoms. A ground-truth could be a binary segmentation map containing ... More

Graph homomorphisms on rectangular matrices over division rings IIFeb 19 2017Let ${\mathbb{D}}^{m\times n}$ be the set of $m\times n$ matrices over a division ring $\mathbb{D}$. Two matrices $A,B\in {\mathbb{D}}^{m\times n}$ are adjacent if ${\rm rank}(A-B)=1$. By the adjacency, ${\mathbb{D}}^{m\times n}$ is a connected graph. ... More

Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equationApr 03 2017Modulational instability has been used to explain the formation of breather and rogue waves qualitatively. In this paper, we show modulational instability can be used to explain the structure of them in a quantitative way. We develop a method to derive ... More

Full One-Loop Electroweak Corrections to the Charged Higgs Decays into a Chargino and Neutralino in the MSSMApr 21 2005Sep 08 2005We calculate the full one-loop electroweak (FEW) corrections to $H^-\to\widetilde{\chi}^-_1\widetilde{\chi}^0_i$ in the minimal supersymmetric standard model (MSSM), and compare with the leading order (LO) corrections including the loops of the (s)quarks ... More

Pumping Current in a Quantum Dot by an Oscillating Magnetic FieldOct 31 2006Apr 18 2007We investigate spin and charge current through a quantum dot pumped by a time-varying magnetic field. Using the density matrix method, quantum rate equations for the electronic occupation numbers in the quantum dot are obtained and solved in the stationary ... More

Efficient laser noise reduction by locking to an actively stabilized fiber interferometer with 10 km arm imbalanceMay 23 2016We report a laser noise reduction method by locking it to an actively stabilized fiber-based Mach Zehnder interferometer with 10 km optical fiber to achieve large arm imbalance. An acousto optic modulator is used for interferometer stabilization and heterodyne ... More

A Semi-analytic Ray-tracing Algorithm for Weak LensingDec 07 2010We propose a new ray-tracing algorithm to measure the weak lensing shear and convergence fields directly from N-body simulations. We calculate the deflection of the light rays lensed by the 3-D mass density field or gravitational potential along the line ... More

ASCNet: Adaptive-Scale Convolutional Neural Networks for Multi-Scale Feature LearningJul 07 2019Extracting multi-scale information is key to semantic segmentation. However, the classic convolutional neural networks (CNNs) encounter difficulties in achieving multi-scale information extraction: expanding convolutional kernel incurs the high computational ... More

Object Relation Detection Based on One-shot LearningJul 16 2018Detecting the relations among objects, such as "cat on sofa" and "person ride horse", is a crucial task in image understanding, and beneficial to bridging the semantic gap between images and natural language. Despite the remarkable progress of deep learning ... More

Isospin violation in $φ, J/ψ, ψ^\prime \to ωπ^0$ via hadronic loopsJun 04 2007Oct 26 2007In this work, we study the isospin-violating decay of $\phi\to \omega\pi^0$ and quantify the electromagnetic (EM) transitions and intermediate meson exchanges as two major sources of the decay mechanisms. In the EM decays, the present datum status allows ... More

$ω$ and $ρ$ Photoproduction with an Effective Quark Model LagrangianMar 05 1998An unified approach for vector meson photoproduction is presented in the constit quark model. The s- and u-channel resonance contributions are generated using an effective quark vector-meson Lagrangian. In addition, taking into account $\pi^0$ and $\sigma$ ... More

Quark model approach to the $η$ meson electroproduction on the protonNov 19 2000Mar 26 2002A recently developed quark model approach to pseudoscalar meson photoproduction is extended to electroproduction process for the $\eta$ meson in the kinematics of momentum transfer $Q^2 \leq$ 4 (GeV/c)$^2$ and total center of mass energy $W \leq$ 1.6 ... More

Mixed-Resolution Image Representation and Compression with Convolutional Neural NetworksFeb 02 2018Aug 01 2018In this paper, we propose an end-to-end mixed-resolution image compression framework with convolutional neural networks. Firstly, given one input image, feature description neural network (FDNN) is used to generate a new representation of this image, ... More

Inverse Doppler Effects in Pipe InstrumentsFeb 23 2018Music is older than language, and for most of human history music holds our culture together. The pipe instrument is one of the most popular musical instruments of all time. Built on the foundation of previous flute and flute-like acoustic metamaterial ... More

Two-phase equilibrium properties in charged topological dilaton AdS black holesNov 26 2014Dec 29 2015In this paper we discuss phase transition of the charged topological dilaton AdS black holes by Maxwell equal area law. The two phases involved in the phase transition could be coexist and we depict the coexistence region in $P-v$ diagrams. The two-phase ... More

Thermodynamics and critical behaviors of topological dS black holes with nonlinear sourceApr 18 2017Aug 20 2017We discuss black hole solutions of Einstein gravity in presence of nonlinear electrodynamics in dS spacetime. Considering prescribed entropy, thermodynamic volume of dS spacetime, We investigate properties of the effective thermodynamic quantities under ... More

Correlations of spin-polarized and entangled electrons with Berry phaseSep 06 2005The correlation and fluctuation of both entangled electrons and spin-polarized pairs affected by two rotating magnetic fields in a setup proposed by J. Carlos Egues etc. (Phys. Rev. Lett. {\bf 89}(2002) 176401) are studied theoretically by using scattering ... More

Efficient Numerical Evaluation of Feynman IntegralAug 11 2015Jan 10 2016Feynman loop integrals are a key ingredient for the calculation of higher order radiation effects, and are responsible for reliable and accurate theoretical prediction. We improve the efficiency of numerical integration in sector decomposition by implementing ... More

Study of isospin violating $φ$ excitation in $e^+e^- \to ωπ^0$Mar 24 2008Jun 30 2009We study the reaction $e^+ e^-\to \omega\pi^0$ in the vicinity of $\phi$ mass region. The isospin-violating $\phi$ excitation is accounted for by two major mechanisms. One is electromagnetic (EM) transition and the other is strong isospin violations. ... More

Vector Meson Photoproduction with an Effective Lagrangian in the Quark Model II: $ω$ PhotoproductionMar 07 1998An investigation of $\gamma p\to \omega p$ is presented in a constituent quark model approach. The sparse data in the large $t$ region where the resonances dominate is well described within the model, while the diffractive behavior in the small $t$ region ... More

Towards a dynamical understanding of the non-$D \bar D$ decay of $ψ(3770)$Feb 08 2009Apr 20 2009We investigate the $\psi(3770)$ non-$D\bar{D}$ decays into $VP$, where $V$ and $P$ denote vector and pseudoscalar mesons, respectively, via OZI-rule-evading intermediate meson rescatterings in an effective Lagrangian theory. By identifying the leading ... More

Capacity Factors of a Point-to-point NetworkJan 02 2012Jan 13 2012In this paper, we investigate some properties on capacity factors, which were proposed to investigate the link failure problem from network coding. A capacity factor (CF) of a network is an edge set, deleting which will cause the maximum flow to decrease ... More

First- and Second-order Fermi Acceleration at Parallel ShocksAug 12 2014We report on a new Monte Carlo method for simulating diffusive shock acceleration (DSA) of solar energetic particles at upstream and downstream regions of quasi-parallel collisionless shock waves under the influence of self-generated turbulence. By way ... More

Thomsen-Li's Theorem RevisitedAug 31 2018Sep 14 2018In this paper, we prove a general version of Thomsen-Li's Theorem--a Krein-Milman type theorem for C*-algebras. To be precise, for a Markov operator on $C[0,1]$ which preserves certain subspace of $C[0,1]$, we approximate it by an average of homomorphisms ... More

The Freiheitssatz and automorphisms for free brace algebrasOct 01 2018Over a field of characteristic zero, we prove that the Freiheitssatz holds for brace algebras, the word problem for the brace algebras with a single defining relation is decidable, two generated subalgebras of free brace algebras are free, and that automorphisms ... More

Groebner-Shirshov bases for brace algebrasSep 03 2017Oct 03 2017Let $A$ be a brace algebra. This structure implies that $A$ is also a pre-Lie algebra. In this paper, we establish Composition-Diamond lemma for brace algebras. Using this Composition-Diamond lemma we prove that each pre-Lie algebra $L$ can be embedded ... More

Sharp error bounds for Jacobi expansions and Gengenbauer-Gauss quadrature of analytic functionsOct 08 2012This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expansions of analytic functions associated with the Bernstein ellipse. Using an argument that can recover the best estimate for the Chebyshev expansion, we ... More

Local discontinuous Galerkin methods for the time tempered fractional diffusion equationApr 26 2017In this article, we consider discrete schemes for a fractional diffusion equation involving a tempered fractional derivative in time. We present a semi-discrete scheme by using the local discontinuous Galerkin (LDG) discretization in the spatial variables. ... More

Really should we pruning after model be totally trained? Pruning based on a small amount of trainingJan 24 2019Pre-training of models in pruning algorithms plays an important role in pruning decision-making. We find that excessive pre-training is not necessary for pruning algorithms. According to this idea, we propose a pruning algorithm---Incremental pruning ... More

A rigorous proof of non-existence of edge state in the semi-infinite armchair edged grapheneFeb 26 2011With the help of transfer matrix method, the conditions for the existence of the edge states in the semi-infinite armchair edged graphene is given. We discuss zero-energy and non-zero-energy edge states separately, and show the nonexistence of the edge ... More

Linear extension of the Erdos-Heilbronn conjectureOct 02 2008Oct 12 2011The famous Erdos-Heilbronn conjecture plays an important role in the development of additive combinatorics. In 2007 Z. W. Sun made the following further conjecture (which is the linear extension of the Erdos-Heilbronn conjecture): For any finite subset ... More

Effective Representation for Easy-First Dependency ParsingNov 08 2018Jun 11 2019Easy-first parsing relies on subtree re-ranking to build the complete parse tree. Whereas the intermediate state of parsing processing is represented by various subtrees, whose internal structural information is the key lead for later parsing action decisions, ... More

Gravity theories, Transverse Doppler and Gravitational Redshifts in Galaxy ClustersJun 21 2012Jul 22 2013There is growing interest in testing alternative gravity theories using the subtle gravitational redshifts in clusters of galaxies. However, current models all neglect a transverse Doppler redshift of similar magnitude, and some models are not self-consistent. ... More

Effect of node deleting on network structureApr 03 2007The ever-increasing knowledge of the structure of various real-world networks has uncovered their complex multi-mechanism-governed evolution processes. Therefore, a better understanding of the structure and evolution of these networked complex systems ... More

Acoustic guiding and subwavelength imaging with sharp bending by sonic crystalAug 03 2011Aug 04 2011A sharp bending scheme for the self-collimation of acoustic waves is proposed by simply truncating the sonic crystals. An all-angle and wide-band 90{\deg}-bending wave guide is demonstrated with nearly perfect transmissions for Gaussian beams at a wide ... More

Perturbations In A Non-Uniform Dark Energy Fluid: Equations Reveal Effects of Modified Gravity and Dark MatterNov 06 2007Feb 25 2008We propose a unified single-field description of the galactic Dark Matter and various uniform scalar fields for the inflation and cosmological constant. The two types of effects could originate from a fluid of both spatially and temporally varying Vacuum ... More

Mode-locking of incommensurate phase by quantum zero point energy in the Frenkel-Kontorova modelJun 21 2001In this paper, it is shown that a configuration modulated system described by the Frenkel-Kontorova model can be locked at an incommensurate phase when the quantum zero point energy is taken into account. It is also found that the specific heat for an ... More

Heat conduction in one dimensional chainsDec 05 1997We study numerically the thermal conductivity in several different one dimensional chains. We show that the phonon-lattice interaction is the main ingredient of the Fourier heat law. Our argument provides a rather satisfactory explanation to all existing ... More

Diffusive versus displacive contact plasticity of nanoscale asperities: Temperature- and velocity-dependent strongest sizeNov 03 2016We predict a strongest size for the contact strength when asperity radii of curvature decrease below ten nanometers. The reason for such strongest size is found to be correlated with the competition between the dislocation plasticity and surface diffusional ... More

Convergence Error Estimates of the Crank-Nicolson Scheme for Solving Decoupled FBSDEsJun 21 2016The Crank-Nicolson (short for C-N) scheme for solving {\it backward stochastic differential equation} (BSDE), driven by Brownian motions, was first developed by the authors W. Zhao, L. Chen and S. Peng [SIAM J. Sci. Comput., 28 (2006), 1563--1581], and ... More

Concentration Behavior of Nonlinear Hartree-type Equation with almost Mass Critical ExponentNov 28 2018We study the following nonlinear Hartree-type equation \begin{equation*} -\Delta u+V(x)u-a(\frac{1}{|x|^\gamma}\ast |u|^2)u=\lambda u,~\text{in}~\mathbb{R}^N, \end{equation*} where $a>0$, $N\geq3$, $\gamma\in(0,2)$ and $V(x)$ is an external potential. ... More

Factorization for substructures of boosted Higgs jetsMay 23 2015Jan 04 2016We present a perturbative QCD factorization formula for substructures of an energetic Higgs jet, taking the energy profile resulting from the $H\to b\bar b$ decay as an example. The formula is written as a convolution of a hard Higgs decay kernel with ... More

Convolution and correlation theorems for the windowed offset linear canonical transformMay 06 2019In this paper, some important properties of the windowed offset linear canonical transform (WOLCT) such as shift, modulation and orthogonality relation are introduced. Based on these properties we derive the convolution and correlation theorems for the ... More

Near horizon symmetry and entropy of black holes in $f(R)$ gravity and conformal gravitySep 01 2015We generalize the Noether current method proposed by Majhi and Padmanabhan recently to $f(R)$ gravity and conformal gravity and analyze the near horizon symmetry of black holes in these models. It is shown that the entropy obtained with Cardy's formula ... More

Highly Efficient Forward and Backward Propagation of Convolutional Neural Networks for Pixelwise ClassificationDec 15 2014Dec 16 2014We present highly efficient algorithms for performing forward and backward propagation of Convolutional Neural Network (CNN) for pixelwise classification on images. For pixelwise classification tasks, such as image segmentation and object detection, surrounding ... More

Darboux transformation and multi-dark soliton for N-component coupled nonlinear Schrödinger equationsSep 04 2013In this paper, we obtain a uniform Darboux transformation for multi-component coupled NLS equations, which can be reduced to all previous presented Darboux transformation. As a direct application, we derive the single dark soliton and multi-dark soliton ... More

OMG: How Much Should I Pay Bob in Truthful Online Mobile Crowdsourced Sensing?Jun 24 2013Mobile crowdsourced sensing (MCS) is a new paradigm which takes advantage of the pervasive smartphones to efficiently collect data, enabling numerous novel applications. To achieve good service quality for a MCS application, incentive mechanisms are necessary ... More

A novel invariant mass method to isolate resonance backgrounds from the chiral magnetic effectAug 09 2018The Chiral Magnetic Effect (CME) refers to charge separation along a strong magnetic field, due to topological charge fluctuations in QCD. Charge correlation ($\Delta\gamma$) signals consistent with CME have been first observed almost a decade ago. It ... More

The Ages of M31 Star Clusters: Spectral Energy Distribution Versus Color-Magnitude DiagramSep 17 2018It is well-known that fitting the Color Magnitude Diagrams (CMDs) to the theoretical isochrones is the main method to determine star cluster ages. However, when the CMDs are not available, the Spectral Energy Distribution (SED)-fitting technique is the ... More

Modelling the Astronomical Silicate Features: I. On the Spectrum Subtraction MethodApr 23 2002The {\it assumption of additive absorptivity} by different components in compound particles is a widely used method applied in the literature to the analysis of the chemical and structural properties of astronomical (circumstellar, interstellar, protostellar, ... More

Closed-Form Error Analysis on RSS-based Indoor Localization MethodFeb 07 2017Dec 13 2017Received Signal Strength (RSS) is considered as a promising measurement for indoor positioning. Lots of RSS-based localization methods have been proposed by its convenience and low cost. This paper focuses on two challenging issues in RSS-based localization ... More

Systematic study of 16O-induced fusions with the improved quantum molecular dynamics modelNov 12 2014The heavy-ion fusion reactions with 16O bombarding on 62Ni, 65Cu, 74Ge, 148Nd, 180Hf, 186W, 208Pb, 238U are systematically investigated with the improved quantum molecular dynamics (ImQMD) model. The fusion cross sections at energies near and above the ... More

Time evolutions of scalar field perturbations in $D$-dimensional Reissner-Nordström Anti-de Sitter black holesApr 05 2016Reissner-Nordstr\"om Anti-de Sitter (RNAdS) black holes are unstable against the charged scalar field perturbations due to the well-known superradiance phenomenon. We present the time domain analysis of charged scalar field perturbations in the RNAdS ... More

Rota--Baxter algebras and left weak composition quasi-symmetric functionsJan 22 2016Motivated by a question of Rota, this paper studies the relationship between Rota--Baxter algebras and symmetric related functions. The starting point is the fact that the space of quasi-symmetric functions is spanned by monomial quasi-symmetric functions ... More

Effect of Grain Size on Differential Desorption of Volatile Species and on Non-ideal MHD DiffusivityMar 08 2018We developed a chemical network for modeling the chemistry and non-ideal MHD effects from the collapsing dense molecular clouds to protostellar disks. First, we re-formulated the cosmic-ray desorption rate by considering the variations of desorption rate ... More

Distributed average tracking for multiple reference signals with general linear dynamicsDec 28 2013This technical note studies the distributed average tracking problem for multiple time-varying signals with general linear dynamics, whose reference inputs are nonzero and not available to any agent in the network. In distributed fashion, a pair of continuous ... More

Some curious congruences modulo primesApr 07 2009Feb 25 2010Let n be a positive odd integer and let p>n+1 be a prime. We mainly derive the following congruence: $$\sum_{0<i_1<...<i_n<p}(i_1/3)(-1)^{i_1}/(i_1...i_n)=0 (mod p).$$

Quaternion Windowed Linear Canonical Transform of Two-Dimensional Quaternionic SignalsMar 27 2019Jul 18 2019We investigate the 2D quaternion windowed linear canonical transform(QWLCT) in this paper. Firstly, we propose the new definition of the QWLCT, and then several important properties of newly defined QWLCT, such as bounded, shift, modulation, orthogonality ... More

Arithmetic theory of harmonic numbers (II)Nov 23 2009Oct 30 2013For $k=1,2,\ldots$ let $H_k$ denote the harmonic number $\sum_{j=1}^k 1/j$. In this paper we establish some new congruences involving harmonic numbers. For example, we show that for any prime $p>3$ we have $$\sum_{k=1}^{p-1}\frac{H_k}{k2^k}\equiv\frac7{24}pB_{p-3}\pmod{p^2},\ ... More

Graphs with 3-rainbow index $n-1$ and $n-2$Aug 20 2013Let $G$ be a nontrivial connected graph with an edge-coloring $c:E(G)\rightarrow \{1,2,\ldots,q\},$ $q\in \mathbb{N}$, where adjacent edges may be colored the same. A tree $T$ in $G$ is a $rainbow tree$ if no two edges of $T$ receive the same color. For ... More

Implications of Fermi-LAT observations on the origin of IceCube neutrinosJul 09 2014Nov 07 2014The IceCube (IC) collaboration recently reported the detection of TeV-PeV extraterrestrial neutrinos whose origin is yet unknown. By the photon-neutrino connection in $pp$ and $p\gamma$ interactions, we use the \fermi-LAT observations to constrain the ... More

4-Dimensional Geometry Lens: A Novel Volumetric Magnification ApproachJun 29 2013Nov 03 2013We present a novel methodology that utilizes 4-Dimensional (4D) space deformation to simulate a magnification lens on versatile volume datasets and textured solid models. Compared with other magnification methods (e.g., geometric optics, mesh editing), ... More

The bulk Lorentz factors of Fermi-LAT GRBsMay 28 2010Nov 06 2010The Lorentz factor (LF) of gamma-ray burst (GRB) ejecta may be constrained by observations of high-energy (HE) spectral attenuation. The recent Fermi-LAT observations of prompt GeV emission from several bright GRBs have leaded to conclusions of unexpectedly ... More

Phylogeny-based tumor subclone identification using a Bayesian feature allocation modelMar 16 2018Tumor cells acquire different genetic alterations during the course of evolution in cancer patients. As a result of competition and selection, only a few subgroups of cells with distinct genotypes survive. These subgroups of cells are often referred to ... More

Fast Neural Chinese Word Segmentation for Long SentencesNov 06 2018Jan 29 2019Rapidly developed neural models have achieved competitive performance in Chinese word segmentation (CWS) as their traditional counterparts. However, most of methods encounter the computational inefficiency especially for long sentences because of the ... More

A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reductionJul 01 2019We propose a data-driven approach to solve multiscale elliptic PDEs with random coefficients based on the intrinsic low dimension structure of the underlying elliptic differential operators. Our method consists of offline and online stages. At the offline ... More

Connections between Mean-Field Game and Social Welfare OptimizationMar 29 2017Feb 14 2018This paper studies the connection between a class of mean-field games and a social welfare optimization problem. We consider a mean-field game in function spaces with a large population of agents, and each agent seeks to minimize an individual cost function. ... More

Local well-posedness of semilinear space-time fractional Schrödinger equationJan 02 2019The semilinear space-time fractional Schr\"odinger equation is considered. First, we give the explicit form for the fundamental solutions by using the Fox $H$-functions in order to to establish some $L^s$ decay estimates. After that, we give some space-time ... More