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Evaluating bird collision risk of a high-speed railway crossing the habitat of the crested ibis (Nipponia nippon) in Qinling Mountains, ChinaJul 10 2019Bird collisions with high-speed transport modes is a vital topic on vehicle safety and wildlife protection, especially when high-speed trains, with an average speed of 250km/h, have to run across the habitat of an endangered bird species. This paper evaluates ... More

Periodic optical rogue wavesDec 11 2013Random excitation of intense periodic highly-localized single-cycle light pulses in a stochastic background by continuous-wave stimulated Brillouin scattering in long optical fibers with weak feedback is found experimentally. Events with low period numbers ... More

Adaptive sampling of time-space signals in a reproducing kernel subspace of mixed Lebesgue spaceApr 01 2019The Mixed Lebesgue space is a suitable tool for modelling and measuring signals living in time-space domains. And sampling in such spaces plays an important role for processing high-dimensional time-varying signals. In this paper, we first define reproducing ... More

Functional data analytic approach of modeling ECG T-wave shape to measure cardiovascular behaviorSep 28 2010The T-wave of an electrocardiogram (ECG) represents the ventricular repolarization that is critical in restoration of the heart muscle to a pre-contractile state prior to the next beat. Alterations in the T-wave reflect various cardiac conditions; and ... More

BestConfig: Tapping the Performance Potential of Systems via Automatic Configuration TuningOct 10 2017An ever increasing number of configuration parameters are provided to system users. But many users have used one configuration setting across different workloads, leaving untapped the performance potential of systems. A good configuration setting can ... More

Spatially Distributed Sampling and ReconstructionNov 27 2015A spatially distributed system contains a large amount of agents with limited sensing, data processing, and communication capabilities. Recent technological advances have opened up possibilities to deploy spatially distributed systems for signal sampling ... More

Sampling and Galerkin reconstruction in reproducing kernel spacesOct 07 2014In this paper, we consider sampling in a reproducing kernel subspace of $L^p$. We introduce a pre-reconstruction operator associated with a sampling scheme and propose a Galerkin reconstruction in general Banach space setting. We show that the proposed ... More

Localized spectrum slicingNov 22 2014Nov 23 2015Given a sparse Hermitian matrix $A$ and a real number $\mu$, we construct a set of sparse vectors, each approximately spanned only by eigenvectors of $A$ corresponding to eigenvalues near $\mu$. This set of vectors spans the column space of a localized ... More

Adaptively Compressed Exchange OperatorJan 26 2016Jan 27 2016The Fock exchange operator plays a central role in modern quantum chemistry. The large computational cost associated with the Fock exchange operator hinders Hartree-Fock calculations and Kohn-Sham density functional theory calculations with hybrid exchange-correlation ... More

Randomized estimation of spectral densities of large matrices made accurateApr 29 2015Nov 23 2015For a large Hermitian matrix $A\in \mathbb{C}^{N\times N}$, it is often the case that the only affordable operation is matrix-vector multiplication. In such case, randomized method is a powerful way to estimate the spectral density (or density of states) ... More

Imaging molecular characterization by high-order above threshold ionization in intense laser fieldMay 27 2009May 28 2009Using the frequency-domain theory, the high-order above threshold ionization (HATI) of a molecule is treated as a two-step transition: an above threshold ionization (ATI) followed by a laser-assisted collision (LAC). It is found that the HATI spectrum ... More

Rotation alignment in neutron-rich Cr isotopes: A probe of deformed single-particle levels across N=40Sep 25 2010Recent experiments have reached the neutron-rich Cr isotope with N=40 and confirmed enhanced collectivity near this sub-shell. The current data focus on low-spin spectroscopy only, with little information on the states where high-j particles align their ... More

Open Gromov-Witten Theory of $K_{\mathbb P^2}, K_{{\mathbb P^1}\times {\mathbb P^1}}, K_{W\mathbb P[1,1,2]}, K_{\mathbb F_1}$ and Jacobi FormsMay 13 2018It was known through the efforts of many works that the generating functions in the closed Gromov-Witten theory of $K_{\mathbb P^2}$ are meromorphic quasi-modular forms basing on the B-model predictions. In this article, we extend the modularity phenomenon ... More

Open Gromov-Witten Theory of $K_{\mathbb P^2}, K_{{\mathbb P^1}\times {\mathbb P^1}}, K_{W\mathbb P[1,1,2]}, K_{\mathbb F_1}$ and Jacobi FormsMay 13 2018Jun 10 2019It was known through the efforts of many works that the generating functions in the closed Gromov-Witten theory of $K_{\mathbb P^2}$ are meromorphic quasi-modular forms basing on the B-model predictions. In this article, we extend the modularity phenomenon ... More

Modeling the Spatial Distribution of Neutron Stars in the GalaxyMay 19 2012In this paper we investigate the space and velocity distributions of old neutron stars (aged 109 to 1010 yr) in our Galaxy. Galactic old Neutron Stars (NSs) population fills a torus-like area extending to a few tens kiloparsecs above the galactic plane. ... More

Information MechanicsMay 03 2016Jul 30 2016Despite the wide usage of the concept of information, we have yet to develop a unified scientific definition. Inspired by Shannon's and Boltzmann's work, by investigating information's role in various working processes, we recognised that information's ... More

Strong-Field QED and the Inverse Mellin TransformFeb 10 2002We introduce the technique of inverse Mellin transform in a problem of strong-field QED. We show that the {\it moments} of pair production width in a uniform background magnetic field are proportional to the derivatives of photon polarization function ... More

Decay estimates of discretized Green's functions for Schrödinger type operatorsNov 25 2015Jun 15 2016For a sparse non-singular matrix $A$, generally $A^{-1}$ is a dense matrix. However, for a class of matrices, $A^{-1}$ can be a matrix with off-diagonal decay properties, i.e. $\lvert A^{-1}_{ij}\rvert$ decays fast to $0$ with respect to the increase ... More

Bold Feynman diagrams and the Luttinger-Ward formalism via Gibbs measures. Part II: Non-perturbative analysisSep 09 2018Many-body perturbation theory (MBPT) is widely used in quantum physics, chemistry, and materials science. At the heart of MBPT is the Feynman diagrammatic expansion, which is, simply speaking, an elegant way of organizing the combinatorially growing number ... More

Variational structure of Luttinger-Ward formalism and bold diagrammatic expansion for Euclidean lattice field theoryNov 20 2017The Luttinger-Ward functional was proposed more than five decades ago to provide a link between static and dynamic quantities in a quantum many-body system. Despite its widespread usage, the derivation of the Luttinger-Ward functional remains valid only ... More

Sparsity pattern of the self-energy for classical and quantum impurity problemsFeb 13 2019We prove that for various impurity models, in both classical and quantum settings, the self-energy matrix is a sparse matrix with a sparsity pattern determined by the impurity sites. In the quantum setting, such a sparsity pattern has been known since ... More

Globally Constructed Adaptive Local Basis Set for Spectral Projectors of Second Order Differential OperatorsJul 23 2017Jun 01 2018Spectral projectors of second order differential operators play an important role in quantum physics and other scientific and engineering applications. In order to resolve local features and to obtain converged results, typically the number of degrees ... More

Sequence-covering maps on generalized metric spacesJun 20 2011Let $f:X\rightarrow Y$ be a map. $f$ is a {\it sequence-covering map}\cite{Si1} if whenever $\{y_{n}\}$ is a convergent sequence in $Y$ there is a convergent sequence $\{x_{n}\}$ in $X$ with each $x_{n}\in f^{-1}(y_{n})$; $f$ is an {\it 1-sequence-covering ... More

An Item Recommendation Approach by Fusing Images based on Neural NetworksJul 04 2019There are rich formats of information in the network, such as rating, text, image, and so on, which represent different aspects of user preferences. In the field of recommendation, how to use those data effectively has become a difficult subject. With ... More

A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part I: Second order linear PDEFeb 05 2015Jun 17 2015We present the first systematic work for deriving a posteriori error estimates for general non-polynomial basis functions in an interior penalty discontinuous Galerkin (DG) formulation for solving second order linear PDEs. Our residual type upper and ... More

About remainders in compactifications of paratopological groupsJun 20 2011In this paper, we prove a dichotomy theorem for remainders in compactifications of paratopological groups: every remainder of a paratopological group $G$ is either Lindel\"{o}f and meager or Baire. Moreover, we give a negative answer for a question posed ... More

Open uniform (G) at non-isolated points and mapsJun 21 2011In this paper, we mainly introduce the notion of an open uniform (G) at non-isolated points, and show that a space $X$ has an open uniform (G) at non-isolated points if and only if $X$ is the open boundary-compact image of metric spaces. Moreover, we ... More

An Approach to the High-level Maintenance Planning for EMU Trains Based on Simulated AnnealingApr 10 2017A high-speed train needs high-level maintenance when its accumulated running mileage or time reaches predefined threshold. The date of delivering an Electric Multiple Unit (EMU) train to maintenance ranges within a time window rather than be a fixed date. ... More

Elliptic preconditioner for accelerating the self consistent field iteration in Kohn-Sham density functional theoryJun 11 2012May 09 2013We discuss techniques for accelerating the self consistent field (SCF) iteration for solving the Kohn-Sham equations. These techniques are all based on constructing approximations to the inverse of the Jacobian associated with a fixed point map satisfied ... More

Quantum Dynamics with the Parallel Transport GaugeApr 06 2018The dynamics of a closed quantum system is often studied with the direct evolution of the Schrodinger equation. In this paper, we propose that the gauge choice (i.e. degrees of freedom irrelevant to physical observables) of the Schrodinger equation can ... More

The technique of inverse Mellin transform for processes occurring in a background magnetic fieldOct 25 2002We develop the technique of inverse Mellin transform for processes occurring in a background magnetic field. We show by analyticity that the energy (momentum) derivatives of a field theory amplitude at the zero energy (momentum) is equal to the Mellin ... More

The inclusive B->eta' X_s decay and b-> sg* form factorsOct 25 1999We compute the branching ratio of inclusive $B \to \eta' X_s$ decay based upon the QCD anomaly mechanism: $b\to s+g^*\to s+g+\eta'$. To obtain a reliable $B \to \eta' X_s$ branching ratio, we calculate the $b\to s+g^*$ form factors up to the next-to-leading-logarithmic(NLL) ... More

A New Currency of the Future: The Novel Commodity Money with Attenuation Coefficient Based on the Logistics Cost of AnchorJun 22 2016In this paper, we reveal the attenuation mechanism of anchor of the commodity money from the perspective of logistics warehousing costs, and propose a novel Decayed Commodity Money (DCM) for the store of value across time and space. Considering the logistics ... More

Some weak versions of the $M_{1}$-spacesFeb 18 2013We mainly introduce some weak versions of the $M_{1}$-spaces, and study some properties about these spaces. The mainly results are that: (1) If $X$ is a compact scattered space and $i(X)\leq 3$, then $X$ is an $s$-$m_{1}$-space; (2) If $X$ is a strongly ... More

Hidden Markov Models on Variable Blocks with a Modal Clustering Algorithm and ApplicationsJun 28 2016Motivated by high-throughput single-cell cytometry data with applications to vaccine development and immunological research, we consider statistical clustering in large-scale data that contain multiple rare clusters. We propose a new hierarchical mixture ... More

Robust Determination of the Chemical Potential in the Pole Expansion and Selected Inversion Method for Solving Kohn-Sham density functional theoryAug 14 2017Fermi operator expansion (FOE) methods are powerful alternatives to diagonalization type methods for solving Kohn-Sham density functional theory (KSDFT). One example is the pole expansion and selected inversion (PEXSI) method, which approximates the Fermi ... More

Bold Feynman diagrams and the Luttinger-Ward formalism via Gibbs measures. Part I: Perturbative approachSep 09 2018Many-body perturbation theory (MBPT) is widely used in quantum physics, chemistry, and materials science. At the heart of MBPT is the Feynman diagrammatic expansion, which is, simply speaking, an elegant way of organizing the combinatorially growing number ... More

Information MechanicsMay 03 2016Nov 10 2016Despite the wide usage of information as a concept in science, we have yet to develop a clear & concise scientific definition. This paper is aimed at laying the foundations for a new theory concerning the mechanics of information alongside its intimate ... More

A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problemsMar 14 2016We present the first systematic work for deriving a posteriori error estimates for general non-polynomial basis functions in an interior penalty discontinuous Galerkin (DG) formulation for solving eigenvalue problems associated with second order linear ... More

Uniform bases at non-isolated points and mapsJun 21 2011In this paper, the authors mainly discuss the images of spaces with an uniform base at non-isolated points, and obtain the following main results: (1)\ Perfect maps preserve spaces with an uniform base at non-isolated points; (2)\ Open and closed maps ... More

Like Sign Top Pair Production at LHCMay 26 1997Having a mass comparable to the weak scale, the top quark may have a sizable flavor changing couplings to Higgs bosons. We show that such couplings can be probed at the LHC through the parton subprocess $c(\bar c)g \to t (\bar t)A^0$, where the pseudoscalar ... More

The Dispersive Approach to Electroweak Processes in the Background Magnetic FieldNov 07 2000We propose a new method to compute amplitudes of electroweak processes in the strong background magnetic field, using $\gamma\to e^+e^-$ as an example. We show that the {\it moments} of $\gamma\to e^+e^-$ width are proportional to the derivatives of photon ... More

Large-time rescaling behaviors of Stokes and Hele-Shaw flows driven by injectionJun 04 2009In this paper, we give a precise description of the rescaling behaviors of global strong polynomial solutions to the reformulation of zero surface tension Hele-Shaw problem driven by injection, the Polubarinova-Galin equation, in terms of Richardson complex ... More

Classification of degree three polynomial solutions to the Polubarinova-Galin equationSep 19 2013The Polubarinova-Galin equation is derived from zero-surface-tension Hele-Shaw flow driven by injection. In this paper, we classify degree three polynomial solutions to the Polubarinova-Galin equation into three categories: global solutions, solutions ... More

Minimum tree-stretch of Hamming graphs and higher-dimensional gridsJul 22 2018The minimum stretch spaning tree problem for a grah G is to find a spaning tree T of G such as that the maximum distance in T between two adjacent vertices is minimized. The minimum value of this optimization problem gives rise to a grpah invariant {\sigma} ... More

$π$-metrizable spaces and strongly $π$-metrizable spacesFeb 18 2013A space $X$ is said to be $\pi$-metrizable if it has a $\sigma$-discrete $\pi$-base. In this paper, we mainly give affirmative answers for two questions about $\pi$-metrizable spaces. The main results are that: (1) A space $X$ is $\pi$-metrizable if and ... More

Perturbation theorems for Hele-Shaw flows and their applicationsMay 21 2010In this work, we give a perturbation theorem for strong polynomial solutions to the zero surface tension Hele-Shaw equation driven by injection or suction, so called the Polubarinova-Galin equation. This theorem enables us to explore properties of solutions ... More

Element orbitals for Kohn-Sham density functional theoryJan 27 2012May 01 2012We present a method to discretize the Kohn-Sham Hamiltonian matrix in the pseudopotential framework by a small set of basis functions automatically contracted from a uniform basis set such as planewaves. Each basis function is localized around an element, ... More

Fast real-time time-dependent hybrid functional calculations with the parallel transport gauge and the adaptively compressed exchange formulationSep 25 2018Feb 04 2019We present a new method to accelerate real time-time dependent density functional theory (rt-TDDFT) calculations with hybrid exchange-correlation functionals. For large basis set, the computational bottleneck for large scale calculations is the application ... More

The minimum stretch spanning tree problem for typical graphsDec 10 2017With applications in distribution systems and communication networks, the minimum stretch spanning tree problem is to find a spanning tree T of a graph G such that the maximum distance in T between two adjacent vertices is minimized. The problem has been ... More

Disentanglement via entanglement: A unified method for Wannier localizationMar 20 2017Jun 05 2018The Wannier localization problem in quantum physics is mathematically analogous to finding a localized representation of a subspace corresponding to a nonlinear eigenvalue problem. While Wannier localization is well understood for insulating materials ... More

Uniform covers at non-isolated pointsJun 21 2011In this paper,\ the authors define a space with an uniform base at non-isolated points, give some characterizations of images of metric spaces by boundary-compact maps, and study certain relationship among spaces with special base properties.\ The main ... More

Convergence of adaptive compression methods for Hartree-Fock-like equationsMar 16 2017Nov 20 2017The adaptively compressed exchange (ACE) method provides an efficient way for solving Hartree-Fock-like equations in quantum physics, chemistry, and materials science. The key step of the ACE method is to adaptively compress an operator that is possibly ... More

Probing the coupling of heavy dark matter to nucleons by detecting neutrino signature from the Earth coreApr 02 2014We argue that the detection of neutrino signature from the Earth core is an ideal approach for probing the coupling of heavy dark matter ($m_{\chi}>10^{4}$ GeV) to nucleons. We first note that direct searches for dark matter (DM) in such a mass range ... More

Parallel Transport Time-Dependent Density Functional Theory Calculations with Hybrid Functional on SummitMay 03 2019Real-time time-dependent density functional theory (rt-TDDFT) with hybrid exchange-correlation functional has wide-ranging applications in chemistry and material science simulations. However, it can be thousands of times more expensive than a conventional ... More

Unitary equivalences for essential extensions of $C^*$-algebrasMar 15 2004Let $A$ be a unital separable \CA and $B=C\otimes {\cal K},$ where $C$ is a unital \CA. Let $\tau: A\to M(B)/B$ be a weakly unital full essential extensions of $A$ by $B.$ We show that there is a bijection between a quotient group of $K_0(B)$ onto the ... More

Index computations on FJRW theoryOct 23 2012Nov 29 2012We compute the index of the real Cauchy-Riemann operator defined in FJRW theory in case of the smooth metric. For the cylindrical metric, we study the relation between the index of the linearized operator of Witten map and weights in weighted Sobolev ... More

On the Regularity of the Solutions for Cauchy Problem of Incompressible 3D Navier-Stokes EquationOct 14 2013Jan 26 2016In this paper we will prove that the vorticity belongs to $L^{\infty}(0, T; L^2(R^3))$ for the Cauchy problem of 3D incompressible Navier-Stokes equation, then the existence of a global smooth solution is obtained. Our approach is to construct a set of ... More

Type-IV Two-Higgs-Doublet Models And Their CP-ViolationAug 28 2013Several new two-Higgs-doublet models which are naturally free of FCNC will be presented in this manuscript. These models solved the FCNC problem in a way quite different to the previous three types of 2HDMs. In these models, the mass matrices corresponding ... More

Regularity Normalization: Constraining Implicit Space with Minimum Description LengthFeb 27 2019Inspired by the adaptation phenomenon of biological neuronal firing rate, we propose regularity normalization: a reparametrization of the activation in the neural network that take into account the statistical regularity in the implicit space. The implicit ... More

Note on equivalence of cutpoint languages recognized by measure many quantum finite automataAug 15 2013Jun 17 2014This note revisits the equivalence of languages recognized by measure many one way quantum finite automata with non/strict cutpoint. The main contributions are as follows: \begin{enumerate}[(1)] \item {We provide an additional proof of the undecidability ... More

Non-Abelian Class Field Theory for Riemann SurfacesNov 22 2001In this paper, using what we call a micro reciprocity law, we complete Weil's program for non-abelian class field theory of Riemann surfaces.

General Uniformity of Zeta FunctionsSep 20 2012Using analytic torsion associated to stable bundles, we introduce zeta functions for compact Riemann surfaces. To justify the well-definedness, we analyze the degenerations of analytic torsions at the boundaries of the moduli spaces, the singularities ... More

A Program For Geometric ArithmeticNov 22 2001Proposed is a program for what we call Geometric Arithmetic, based on our works on non-abelian zeta functions and non-abelian class field theory. Key words are stability and adelic intersection-cohomology theory.

Refined Brill-Noether Locus and Non-Abelian Zeta Functions for Elliptic CurvesJan 23 2001New local and global non-abelian zeta functions for elliptic curves are studied using certain refined Brill-Noether loci in moduli spaces of semi-stable bundles. Examples of these zeta functions and a justification of using only semi-stable bundles are ... More

New Non-Abelian Zeta Functions for Curves over Finite FieldsJul 25 2000In this paper, we introduce and study two new types of non-abelian zeta functions for curves over finite fields, which are defined by using (moduli spaces of) semi-stable vector bundles and non-stable bundles. A Riemann-Weil type hypothesis is formulated ... More

Ionization potential depression and ionization balance in dense plasmasApr 09 2019Theoretical modelling of ionization potential depression and the related ionization equilibrium in dense plasmas, in particular in warm/hot dense matter, represents a significant challenge due to ionic coupling and electronic degeneracy effects. We present ... More

Finite dimensional approximation on manifold with codimension-$4$ foliationMar 06 2019For closed manifolds endowed with a Riemannian foliation of codimension $4$, one can define a transversal Seiberg-Witten map. We show that there is a finite dimensional approximation for such a map. By such a method and under the condition that $H^1_b(M)\cap ... More

A Simple Gap-producing Reduction for the Parameterized Set Cover ProblemFeb 11 2019Given an $n$-vertex bipartite graph $I=(S,U,E)$, the goal of set cover problem is to find a minimum sized subset of $S$ such that every vertex in $U$ is adjacent to some vertex of this subset. It is NP-hard to approximate set cover to within a $(1-o(1))\ln ... More

Characterizations of the exceptional vertex operator algebras of central charge $1$: IINov 09 2013Nov 15 2013It is the second paper in a series devoted to the investigation of characterizations of the exceptional vertex operator algebras of central charge 1. In this paper, we give a characterization of the rational vertex operator algebra VOL, where L is the ... More

Prediction of Electric Multiple Unit Fleet Size Based on Convolutional Neural NetworkSep 03 2018With the expansion of high-speed railway network and growth of passenger transportation demands, the fleet size of electric multiple unit (EMU) in China needs to be adjusted accordingly. Generally, an EMU train costs tens of millions of dollars which ... More

The design of courier transportation networks with a nonlinear zero-one programming modelMay 02 2018The courier industry is one of the most essential parts of the modern logistics. Meanwhile, the courier transportation network is one of the most important infrastructures of courier enterprises to take participate into operation. This paper presents ... More

Regularity Normalization: Constraining Implicit Space with Minimum Description LengthFeb 27 2019May 01 2019Inspired by the adaptation phenomenon of biological neuronal firing, we propose regularity normalization: a reparameterization of the activation in the neural network that take into account the statistical regularity in the implicit space. By considering ... More

Modified-Bloch Equation Based on Fractal Derivative for Analyzing PFG Anomalous DiffusionSep 16 2017A modified-Bloch equation based on the fractal derivative is proposed to analyze pulsed field gradient (PFG) anomalous diffusion. Anomalous diffusion exists in many systems such as in polymer or biological systems. PFG anomalous diffusion could be analyzed ... More

General pulsed-field gradient signal attenuation expression based on a fractional integral modified-Bloch equationJun 07 2017Feb 27 2018Anomalous diffusion has been investigated in many polymer and biological systems. The analysis of PFG anomalous diffusion relies on the ability to obtain the signal attenuation expression. However, the general analytical PFG signal attenuation expression ... More

Optoelectromechanical transducer: reversible conversion between microwave and optical photonsJul 11 2014Quantum states encoded in microwave photons or qubits can be effectively manipulated, whereas optical photons can be coherently transferred via optical fibre and waveguide. The reversible conversion of quantum states between microwave and optical photons ... More

The A-polynomial And Holonomy PerturbationsApr 26 2013Mar 22 2015Dunfield-Garoufalidis and Boyer-Zhang proved that the A-polynomial of a nontrivial knot in $S^{3}$ is nontrivial. In this paper, we use holonomy perturbations to prove the non-triviality of the A-polynomial for a nontrivial, null-homotopic knot in an ... More

Period relations for automorphic induction and applications, INov 11 2015Let $K$ be a quadratic imaginary field. Let $\Pi$ (resp. $\Pi'$) be a regular algebraic cuspidal representation of $GL_{n}(K)$ (resp. $GL_{n-1}(K)$) which is moreover cohomological and conjugate self-dual. In \cite{harris97}, M. Harris has defined automorphic ... More

A Negative Answer to a Problem of Aldous on Determination of Exchangeable SequencesJul 02 2015We present results concerning when the joint distribution of an exchangeable sequence is determined by the marginal distributions of its partial sums. The question of whether or not this determination occurs was posed by David Aldous. We then consider ... More

Natural Frobenius SubmanifoldsAug 23 2007I.A.B. Strachan introduced the notion of a natural Frobenius submanifold of a Frobenius manifold and gave a sufficient but not necessary condition for a submanifold to be a natural Frobenius submanifold. This paper will give a necessary and sufficient ... More

A Statistical Treatment to the Evolution Equation for Quark DistributionsJun 11 2001The evolution of polarized quark distribution functions is taken into account the gluon emission and absorption, quark pair production and annihilation processes and treated by a statistical method which provides quark distribution functions at small ... More

The Supergravity Dual of the BMN Matrix ModelJul 29 2004Oct 11 2004We propose type IIA supergravity solutions dual to the 1/2 BPS vacua of the BMN matrix model. These dual solutions are analyzed using the Polchinski-Strassler method and have brane configurations of concentric shells of D2 branes (or NS5 branes) with ... More

A Proposed Absolute Entropy of Near Extremal Kerr-Newman Black HoleApr 29 2001May 06 2001Some problems have been found as to the definition of entropy of black hole being applied to the extremal Kerr-Newman case, which has conflicts with the third law of thermodynamics. We have proposed a new modification for the near extremal one, which ... More

On Drury's solution of Bhatia \& Kittaneh's questionJan 21 2016Let $A, B$ be $n\times n$ positive semidefinite matrices. Bhatia and Kittaneh asked whether it is true $$ \sqrt{\sigma_j(AB)}\le \frac{1}{2} \lambda_j(A+B), \qquad j=1, \ldots, n$$ where $\sigma_j(\cdot)$, $\lambda_j(\cdot)$, are the $j$-th largest singular ... More

Full extensions and approximate unitary equivalencesJan 19 2004Let $A$ be a unital separable amenable \CA and $C$ be a unital \CA with certain infinite property. We show that two full monomorphisms $h_1, h_2: A\to C$ are approximately unitarily equivalent if and only if $[h_1]=[h_2]$ in $KL(A,C).$ Let $B$ be a non-unital ... More

Exploration of object recognition from 3D point cloudJul 05 2017We present our latest experiment results of object recognition from 3D point cloud data collected through moving car.

Continued fraction expansions of algebraic numbersFeb 07 2017Feb 09 2017In this paper we establish properties of independence for the continued fraction expansions of two algebraic numbers. Roughly speaking, if the continued fraction expansions of two irrational algebraic numbers have the same long sub-word, then the two ... More

Studies on 1/4 BPS and 1/8 BPS geometriesAug 31 2010Sep 23 2010We analyze more explicitly four sectors of 1/4 BPS geometries and 1/8 BPS geometries, corresponding to BPS states in N=4 SYM, constructed previously. These include the states with several SO(6) angular momenta as well as those with SO(4) AdS spins. We ... More

T-bulge single photon quantum router with three level systemFeb 26 2017This paper considers the transmission characteristics of incidenting from an infinte coupled-resonator waveguide (CRW) or a semi-infinite CRW, respectively. The Nth cavity of a semi-infinite CRW intersecting with an infinite CRW and a cascade three level ... More

Efficient Collection of Connected Vehicle Data based on Compressive SensingJun 06 2018Connected vehicles (CVs) can capture and transmit detailed data like vehicle position, speed and so on through vehicle-to-vehicle and vehicle-to-infrastructure communications. The wealth of CV data provides new opportunities to improve the safety, mobility, ... More

Nondecoupling of Heavy Mirror-FermionMar 11 1994According to one-loop perturbation theory, fermions whose masses are totally generated from Yukawa couplings do not decouple in the heavy mass limit. We investigate this issue nonperturbatively in the strong coupling regime of the chiral $U(1)$ mirror-fermion ... More

An Optimal Convergence Rate for the Gaussian Regularized Shannon Sampling SeriesNov 14 2017Nov 06 2018We consider the reconstruction of a bandlimited function from its finite localized sample data. Truncating the classical Shannon sampling series results in an unsatisfactory convergence rate due to the slow decay of the sinc function. To overcome this ... More

Hodge theory on transversely symplectic foliationsSep 03 2016In this paper, we develop symplectic Hodge theory on transversely symplectic foliations. In particular, we establish the symplectic $d\delta$-lemma for any such foliations with the (transverse) $s$-Lefschetz property. As transversely symplectic foliations ... More

New properties for certain positive semidefinite matricesSep 27 2016We bring in some new notions associated with $2\times 2$ block positive semidefinite matrices. These notions concern the inequalities between the singular values of the off diagonal blocks and the eigenvalues of the arithmetic mean or geometric mean of ... More

Harmonic measure for biased random walk in a supercritical Galton-Watson treeJul 06 2017Jan 14 2019We consider random walks $\lambda$-biased towards the root on a Galton-Watson tree, whose offspring distribution $(p_k)_{k\geq 1}$ is non-degenerate and has finite mean $m>1$. In the transient regime $0<\lambda<m$, the loop-erased trajectory of the biased ... More

Symplectic Harmonic theory and the Federer-Fleming deformation theoremDec 12 2011Sep 29 2013In this article, we initiate a geometric measure theoretic approach to symplectic Hodge theory. In particular, we apply one of the central results in geometric measure theory, the Federer-Fleming deformation theorem, together with the cohomology theory ... More

Approximate Unitary Equivalence in Simple C^*-algebras of Tracial Rank OneJan 18 2008May 11 2010Let $C$ be a unital AH-algebra and let $A$ be a unital separable simple C*-algebra with tracial rank no more than one. Suppose that $\phi, \psi: C\to A$ are two unital monomorphisms. With some restriction on $C,$ we show that $\phi$ and $\psi$ are approximately ... More

Monopole Floer homology and the spectral geometry of three-manifoldsMay 24 2017We refine some classical estimates in Seiberg-Witten theory, and discuss an application to the spectral geometry of three-manifolds. In particular, we show that on a rational homology three-sphere $Y$, for any Riemannian metric the first eigenvalue of ... More

Monopole Floer homology and SOLV geometryDec 28 2018We study the monopole Floer homology of a SOLV rational homology sphere Y from the point of view of spectral theory. Applying ideas of Fourier analysis on solvable groups, we show that for suitable SOLV metrics on Y, small regular perturbations of the ... More

Scattering of quasiparticle of spin-triplet pairs in diffusive superconductor-ferromagnetic nanowire-superconductor junctionMar 11 2011We analyze the proximity effect of superconductor/ferromagnet nanostructures and point out that the scattering of quasiparticle of spin-triplet pairs by local magnetic moments leads to large resistance peak slightly below the superconducting transition ... More