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Contractible 3-manifold and Positive scalar curvature (II)Jun 10 2019Jul 22 2019In this article, we are interested in the question whether any complete contractible $3$-manifold of positive scalar curvature is homeomorphic to $\mathbb{R}^{3}$. We study the fundamental group at infinity, $\pi_{1}^{\infty}$, and its relationship with ... More

The shifting method and generalized Turán number of matchingsDec 05 2018Jun 01 2019Given two graphs $T$ and $F$, the maximum number of copies of $T$ in an $F$-free graph on $n$ vertices is called the generalized Tur\'{a}n number, denoted by $ex(n,T,F)$. When $T=K_2$, it reduces to the classical Tur\'{a}n number $ex(n,F)$. Let $M_{k}$ ... More

A generalization of classical action of Hamiltonian diffeomorphisms to Hamiltonian homeomorphisms on fixed pointsJun 06 2011Sep 10 2012We define boundedness properties on the contractible fixed points set of the time-one map of an identity isotopy on a closed oriented surface with genus $g\geq1$. In symplectic geometry, a classical object is the notion of action function, defined on ... More

On the exponential ergodicity for Lévy driven Ornstein-Uhlenbeck processesMay 21 2012Based on the explicit coupling property, the ergodicity and the exponential ergodicity of L\'{e}vy driven Ornstein-Uhlenbeck processes are established.

Some properties of Hamiltonian homeomorphisms on closed aspherical surfacesFeb 07 2016Oct 21 2016On closed symplectically aspherical manifolds, Schwarz proved a classical result that the action function of a nontrivial Hamiltonian diffeomorphism is not constant by using Floer homology. In this article, we generalize Schwarz's theorem to the $C^0$-case ... More

A generalization of the line translation theoremApr 27 2011Through the method of brick decomposition and the operations on essential topological lines, we generalize the line translation theorem of Beguin, Crovisier, Le Roux [BCL] in the case where the property of preserving a finite measure with total support ... More

Double Conformal Invariants and the Wodzicki ResidueJan 06 2011For compact real manifolds, a new double conformal invariant is constructed using the Wodzicki residue and the $d$ operator in the framework of Connes. In the flat case, we compute this double conformal invariant, and in some special cases, we also compute ... More

Nonequilibrium Green's function approach to mesoscopic thermal transportMay 01 2006We present a formulation of a nonequilibrium Green's function method for thermal current in nanojunction atomic systems with nonlinear interactions. This first-principle approach is applied to the calculation of the thermal conductance in carbon nanotube ... More

The Mass Distribution of Black Holes in BL Lacertae ObjectsNov 11 2001Dec 28 2001In this {\it Letter}, we make an attempt to estimate the masses of black holes and their distributions in BL Lac objects. We find there is a bimodal population of black hole masses in BL Lacs: the first has a lower-mass peak centred at $\sim 7.0 \times ... More

Spectra of the Dissipative Spin ChainMar 01 2019This paper generalizes the (0+1)-dimensional spin-boson problem to the corresponding (1+1)-dimensional version. Monte Carlo simulation is used to find the phase diagram and imaginary time correlation function. The real frequency spectrum is recovered ... More

The Turán Number for Spanning Linear ForestsJul 05 2018For a set of graphs $\mathcal{F}$, the extremal number $ex(n;\mathcal{F})$ is the maximum number of edges in a graph of order $n$ not containing any subgraph isomorphic to some graph in $\mathcal{F}$. If $\mathcal{F}$ contains a graph on $n$ vertices, ... More

The formula for Turán number of spanning linear forestsDec 03 2018Let $\mathcal{F}$ be a family of graphs. The Tur\'{a}n number $ex(n;\mathcal{F})$ is defined to be the maximum number of edges in a graph of order $n$ that is $\mathcal{F}$-free. In 1959, Erd\H{o}s and Gallai determined the Tur\'an number of $M_{k+1}$ ... More

Statistical properties of electrochemical capacitance in disordered mesoscopic capacitorsJan 06 2017We numerically investigate the statistical properties of electrochemical capacitance in disordered two-dimensional mesoscopic capacitors. Based on the tight-binding Hamiltonian, the Green's function formalism is adopted to study the average electrochemical ... More

A refinement of a theorem by FranksNov 21 2015Jan 18 2016In this paper, we give a refinement of a theorem by Franks, which answers two questions raised by Kang.

Heterostructural one-unit-cell FeSe/SrTiO3: from high-temperature superconductivity to topological statesJul 16 2019High temperature superconductivity in one unit cell (1 UC) FeSe on SrTiO3 heterostructure has become a research frontier in condensed matter physics and material science. The superconducting transition temperature (Tc) of ultrathin FeSe film is significantly ... More

A Unified Approach to Holomorphic Anomaly Equations and Quantum Spectral CurvesAug 16 2018Feb 27 2019We present a unified approach to holomorphic anomaly equations and some well-known quantum spectral curves. We develop a formalism of abstract quantum field theory based on the diagrammatics of the Deligne-Mumford moduli spaces $\overline{{\mathcal M}}_{g,n}$ ... More

Orbifold Euler Characteristics of $\overline{\mathcal M}_{g,n}$Dec 27 2018We solve the problem of the computation of the orbifold Euler characteristics of $\overline{\mathcal M}_{g,n}$ using the formalism of abstract quantum field theory we develop in an earlier work.

Rationality problem for transitive subgroups of S_8Feb 07 2014For any field K and any transitive subgroup G of S_8, let G acts naturally on K(x_1, . . ., x_8) by permutations of the variables, we prove that under some minor conditions K(x_1, . . ., x_8)^G is always K-rational except G is A_8 or G is isomorphic to ... More

Binary disorder in quantum Ising chains and induced Majorana zero modesAug 13 2018Aug 15 2018Dynamical structure factor (S(k,$\omega$)) is calculated for the one-dimensional (1D) transverse field Ising model, and its recent extension to include a three spin term, with quenched binary disorder. We study the low energy modes for lattices as large ... More

Heat kernel estimates of fractional Schrödinger operators with negative hardy potentialSep 07 2018Sep 15 2018We obtain two-sided estimates for the heat kernel (or the fundamental function) associated with the following fractional Schr\"odinger operator with negative Hardy potential $$\Delta^{\alpha/2} -\lambda |x|^{-\alpha}$$ on $\RR^d$, where $\alpha\in(0,d\wedge ... More

Exponential Convergence in $L^p$-Wasserstein Distance for Diffusion Processes without Uniformly Dissipative DriftJul 08 2014Feb 18 2016By adopting the coupling by reflection and choosing an auxiliary function which is convex near infinity, we establish the exponential convergence of diffusion semigroups $(P_t)_{t\ge0}$ with respect to the standard $L^p$-Wasserstein distance for all $p\in[1,\infty)$. ... More

Frequency dependent admittance of a two-dimensional quantum wireAug 29 1996The frequency dependent conductance of a two-dimensional quantum wire is computed using a current conserving formalism. The correction to the dc-conductance due to a time-dependent potential is related to the local partial density of states which we compute ... More

Fisher information and spin squeezing in the Lipkin-Meshkov-Glick ModelMay 03 2009Fisher information, lies at the heart of parameter estimation theory, was recently found to have a close relation with multipartite entanglement (Pezz\'{e} and Smerzi, Phys. Rev. Lett. 102, 100401). We use Fisher information to distinguish and characterize ... More

Carbon nanotube-based quantum pump in the presence of superconducting leadJul 19 2002Parametric electron pump through superconductor-carbon-nanotube based molecular devices was investigated. It is found that a dc current, which is assisted by resonant Andreev reflection, can be pumped out from such molecular device by a cyclic variation ... More

Study of a tri-direct littlest seesaw model at MOMENTJul 02 2019The tri-direct littlest seesaw model (TDLS) has been proposed, and succeeds in explaining the current global fit results with only four degrees of freedom. This model can be tested by the future experiments that improve the precision of neutrino mixing ... More

How Close Are We To Detecting Earth-like Planets in the Habitable Zone Using the Radial Velocity Technique?Jul 24 2011Discovering an Earth-like exoplanet in habitable zone is an important milestone for astronomers in search of extra-terrestrial life. While the radial velocity (RV) technique remains one the most powerful tools in detecting and characterizing exo-planetary ... More

Fixed-point Factorized NetworksNov 07 2016Aug 29 2017In recent years, Deep Neural Networks (DNN) based methods have achieved remarkable performance in a wide range of tasks and have been among the most powerful and widely used techniques in computer vision. However, DNN-based methods are both computational-intensive ... More

Functional Inequalities for Stable-Like Dirichlet FormsMay 21 2012May 09 2013Let $V\in C^2(\R^d)$ such that $\mu_V(\d x):= \e^{-V(x)}\,\d x$ is a probability measure, and let $\aa\in (0,2)$. Explicit criteria are presented for the $\aa$-stable-like Dirichlet form $$\E_{\aa,V}(f,f):= \int_{\R^d\times\R^d} \ff{|f(x)-f(y)|^2}{|x-y|^{d+\alpha}}\,\d ... More

Rational function regression method for numerical analytic continuationDec 05 2018A simple method for numerical analytic continuation is developed. It is designed to analytically continue the imaginary time (Matsubara frequency) quantum Monte Carlo simulation results to the real time (real frequency) domain. Such a method is based ... More

Refined basic couplings and Wasserstein-type distances for SDEs with Lévy noisesApr 25 2016May 10 2018We establish the exponential convergence with respect to the $L^1$-Wasserstein distance and the total variation for the semigroup corresponding to the stochastic differential equation (SDE) $$d X_t=d Z_t+b(X_t)\,d t,$$ where $(Z_t)_{t\ge0}$ is a pure ... More

A Note on $*$-Clean RingsJan 13 2015A $*$-ring $R$ is called (strongly) $*$-clean if every element of $R$ is the sum of a projection and a unit (which commute with each other). In this note, some properties of $*$-clean rings are considered. In particular, a new class of $*$-clean rings ... More

The Turán problem for a family of tight linear forestsDec 05 2018Dec 10 2018Let $\mathcal{F}$ be a family of $r$-graphs. The Tur\'an number $ex_r(n;\mathcal{F})$ is defined to be the maximum number of edges in an $r$-graph of order $n$ that is $\mathcal{F}$-free. The famous Erd\H{o}s Matching Conjecture shows that \[ ex_r(n,M_{k+1}^{(r)})= ... More

A question of Norton-Sullivan in the analytic caseSep 19 2018In 1996, A. Norton and D. Sullivan asked the following question: If $f:\mathbb{T}^2\rightarrow\mathbb{T}^2$ is a diffeomorphism, $h:\mathbb{T}^2\rightarrow\mathbb{T}^2$ is a continuous map homotopic to the identity, and $h f=T_{\rho} h$ where $\rho\in\mathbb{R}^2$ ... More

The statistics of Wigner delay time in Anderson disordered systemsJan 17 2011We numerically investigate the statistical properties of Wigner delay time in Anderson disordered 1D, 2D and quantum dot (QD) systems. The distribution of proper delay time for each conducting channel is found to be universal in 2D and QD systems for ... More

Statistical Analysis of Magnetic Field SpectraOct 09 1998We have calculated and statistically analyzed the magnetic-field spectrum (the ``B-spectrum'') at fixed electron Fermi energy for two quantum dot systems with classically chaotic shape. This is a new problem which arises naturally in transport measurements ... More

Uniform Hölder Estimates on Semigroups Generated by Non-Local Operators of Variable OrderMar 13 2014Apr 03 2014We consider the non-local operator of variable order as follows $$Lf(x)= \int_{\R^d\setminus\{0\}}\big(f(x+z)-f(x)-\<\nabla f(x),z\> \I_{\{|z|\le 1\}}\big)\frac{n(x,z)}{|z|^{d+\alpha(x)}}\,dz.$$ Under mild conditions on $\alpha(x)$ and $n(x,z)$, we establish ... More

Vast volatility matrix estimation for high-frequency financial dataFeb 25 2010High-frequency data observed on the prices of financial assets are commonly modeled by diffusion processes with micro-structure noise, and realized volatility-based methods are often used to estimate integrated volatility. For problems involving a large ... More

The rigidity of pseudo-rotations on the two-torus and a question of Norton-SullivanAug 08 2017We show that under certain boundedness condition, a $C^{r}$ conservative irrational pseudo-rotations on $\mathbb{T}^2$ with a generic rotation vector is $C^{r-1}$-rigid. We also obtain $C^0$-rigidity for H\"older pseudo-rotations with similar properties. ... More

Universal Conductance Fluctuations in Mesoscopic Systems with Superconducting Leads: Beyond the Andreev ApproximationNov 11 2010We report our investigation of the sample to sample fluctuation in transport properties of phase coherent normal metal-superconductor hybrid systems. Extensive numerical simulations were carried out for quasi-one dimensional and two dimensional systems ... More

Fourier-Like Transforms of Stable Graphs and Holomorphic Anomaly EquationsMay 09 2019In this paper we develop a theory of Fourier-like transforms on the space of stable graphs. In particular, we introduce a duality theory of stable graphs. As an application, we derive the holomorphic anomaly equations for general propagators in the work ... More

Isoperimetric Inequalities for Non-Local Dirichlet FormsJun 13 2017Jul 15 2017Let $(E,\F,\mu)$ be a $\si$-finite measure space. For a non-negative symmetric measure $J(\d x, \d y):=J(x,y) \,\mu(\d x)\,\mu(\d y)$ on $E\times E,$ consider the quadratic form $$\E(f,f):= \frac{1}{2}\int_{E\times E} (f(x)-f(y))^2 \, J(\d x,\d y)$$ in ... More

Harnack Inequalities for Stochastic Equations Driven by Lévy NoiseDec 03 2012Aug 07 2013By using coupling argument and regularization approximations of the underlying subordinator, dimension-free Harnack inequalities are established for a class of stochastic equations driven by a L\'evy noise containing a subordinate Brownian motion. The ... More

Functional Inequalities for Convolution Probability MeasuresAug 07 2013Jan 25 2015Let $\mu$ and $\nu$ be two probability measures on $\R^d$, where $\mu(\d x)= \e^{-V(x)}\d x$ for some $V\in C^1(\R^d)$. Explicit sufficient conditions on $V$ and $\nu$ are presented such that $\mu*\nu$ satisfies the log-Sobolev, Poincar\'e and super Poincar\'e ... More

Many-body reduced fidelity susceptibility in Lipkin-Meshkov-Glick modelJul 01 2009We study the reduced fidelity susceptibility $\chi_{r}$ for an $M$-body subsystem of an $N$-body Lipkin-Meshkov-Glick model with $\tau=M/N$ fixed. The reduced fidelity susceptibility can be viewed as the response of subsystem to a certain parameter. In ... More

Bosonic Haldane insulator in the presence of local disorder: A quantum Monte Carlo studyMar 20 2018The Haldane phase (HP) is a paradigmatic example of symmetry protected topological phase. We explore how the bosonic HP behaves in the presence of local disorder, employing quantum Monte Carlo simulations of an extended Bose-Hubbard model subject to uncorrelated, ... More

Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron CollidersNov 08 2016The $N$-jettiness subtraction has proven to be an efficient method to perform differential QCD next-to-next-to-leading order (NNLO) calculations in the last few years. One important ingredient of this method is the NNLO soft function. We calculate this ... More

A note on the third invariant factor of the Laplacian matrix of a graphDec 18 2009Let $G$ be a simple connected graph with $n\geq 5$ vertices. In this note, we will prove that $s_3(G)\leq n$, and characterize the graphs which satisfy that $s_3(G)=n, n-1, n-2, $ or $n-3$, where $s_3(G)$ is the third invariant factor of the Laplacian ... More

QCD corrections to polarization of J/ψand Υat Fermilab Tevatron and CERN LHCMay 16 2008Sep 29 2008In this work, we present more detail of the calculation on the NLO QCD corrections to polarization of direct J/psi production via color singlet at Tevatron and LHC, as well as the results for Upsilon for the first time. Our results show that the J/psi ... More

QCD corrections to J/psi polarization of hadronproduction at Tevatron and LHCFeb 26 2008The next to leading order (NLO) QCD corrections to J/psi polarization of hadronproduction at Tevatron and LHC are calculated. The results show that the J/psi polarization is extremely changed from more transversal polarization at leading order (LO) into ... More

Strong Feller Continuity of Feller Processes and SemigroupsJun 28 2010May 17 2011We study two equivalent characterizations of the strong Feller property for a Markov process and of the associated sub-Markovian semigroup. One is described in terms of locally uniform absolute continuity, whereas the other uses local Orlicz-ultracontractivity. ... More

Nonequilibrium Green's function method for thermal transport in junctionsJan 09 2007We present a detailed treatment of the nonequilibrium Green's function method for thermal transport due to atomic vibrations in nanostructures. Some of the key equations, such as self-energy and conductance with nonlinear effect, are derived. A self-consistent ... More

Virtual contributions from $D^{\ast}(2007)^0$ and $D^{\ast}(2010)^{\pm}$ in the $B\to Dπh$ decaysDec 20 2018Mar 14 2019We study the quasi-two-body decays $B\to D^*h \to D\pi h$ with $h=(\pi, K)$ in the perturbative QCD approach and focus on the virtual contributions from the off-shell $D^{\ast}(2007)^0$ and $D^{\ast}(2010)^{\pm}$ in the four measured decays $\bar B^0 ... More

Fractional-order Backpropagation Neural Networks: Modified Fractional-order Steepest Descent Method for Family of Backpropagation Neural NetworksJun 23 2019Jul 10 2019This paper offers a novel mathematical approach, the modified Fractional-order Steepest Descent Method (FSDM) for training BackPropagation Neural Networks (BPNNs); this differs from the majority of the previous approaches and as such. A promising mathematical ... More

The critical group of $C_4\times C_n$Dec 16 2009In this paper, the critical group structure of the Cartesian product graph $C_4\times C_n$ is determined, where $n\ge 3$.

A case concerning the improved transition probabilityNov 18 2006Nov 21 2006As is well known, the existed perturbation theory can be applied to calculations of energy, state and transition probability in many quantum systems. However, there are different paths and methods to improve its calculation precision and efficiency in ... More

Generalized Gaussian Process Regression Model for Non-Gaussian Functional DataJan 31 2014In this paper we propose a generalized Gaussian process concurrent regression model for functional data where the functional response variable has a binomial, Poisson or other non-Gaussian distribution from an exponential family while the covariates are ... More

The complete study on the inclusive production of Υ + γ at the LHCJan 08 2019In this paper we investigate the inclusive associated production of {\Upsilon} + {\gamma} at the hadron collider. We calculate the color-singlet sub-processes and all three color-octet sub-processes at the next-to-leading order. Seven sets of long distance ... More

Some Theorems on Feller Processes: Transience, Local Times and UltracontractivityAug 16 2011We present sufficient conditions for the transience and the existence of local times of a Feller process, and the ultracontractivity of the associated Feller semigroup; these conditions are sharp for L\'{e}vy processes. The proof uses a local symmetrization ... More

On the Coupling Property of Lévy ProcessesJun 28 2010May 15 2011We give necessary and sufficient conditions guaranteeing that the coupling for L\'evy processes (with non-degenerate jump part) is successful. Our method relies on explicit formulae for the transition semigroup of a compound Poisson process and earlier ... More

Three-loop planar master integrals for heavy-to-light form factorsOct 10 2018We calculate analytically the three-loop planar master integrals relevant for heavy-to-light form factors using the method of differential equations. After choosing a proper canonical basis, the boundary conditions are easy to be determined, and the solution ... More

Master integrals of a planar double-box family for top-quark pair productionMar 11 2019We calculate analytically the master integrals of a planar double-box family for top-quark pair production using the method of differential equations. With a proper choice of the bases, the differential equations can be transformed to the $d$-log form. ... More

Full-counting statistics of charge and spin transport in the transient regime: A nonequilibrium Green's function approachJul 28 2014Dec 12 2014We report the investigation of full-counting statistics (FCS) of transferred charge and spin in the transient regime where the connection between central scattering region (quantum dot) and leads are turned on at $t=0$. A general theoretical formulation ... More

Quantized Scalar Fields in Curved Spacetime Background of Thick BraneDec 26 2018In this paper, we adopt the method of quantum fields in curved spacetime to quantize a free scalar matter field in the braneworld background whose warped factor is of the form that could generate P\"{o}schl-Teller potential. Then we consider the interaction ... More

Next-to-Leading-Order QCD Corrections to e+ e- --> J/psi c c_bar at the B FactoriesApr 07 2009Oct 02 2009We calculate the next-to-leading-order (NLO) QCD correction to $e^+e^-\to J/\psi c \bar{c}$ at the B factories, and present theoretical predictions on the momentum and production angular distribution for $J/\psi$ production, and momentum distribution ... More

QCD corrections to J/psi plus eta_c production in e+e- annihilation at sqrt{s}=10.6 GeVDec 27 2007Apr 01 2008Next-to-Leading-Order(NLO) QCD corrections to J/jpsi plus eta_c production in e+e- annihilation at sqrt{s}=10.6 GeV is calculated in this paper, and an analytic result is obtained. By choosing proper physical parameters, a K factor (ratio of NLO to LO) ... More

Next-to-Leading-Order study on the associate production of $J/ψ+γ$ at the LHCJan 27 2014The associate $J/\psi+\gamma$ production at the LHC is studied completely at next-to-leading-order (NLO) within the framework of nonrelativistic QCD. By using three sets of color-octet long-distance matrix elements (LDMEs) obtained in previous prompt ... More

Next-to-Leading-Order QCD corrections to J/ψ(Υ)+γ production at the LHCNov 06 2008Jan 12 2009In this work, we calculate the next-to-leading-order (NLO) QCD corrections to the process $p+p \to J/\psi + \gamma$ via the color-singlet mechanism at the LHC. The results show that the partial cross section ($p_t^{J/\psi}>$3GeV and $|y^{J/\psi,\gamma}|<$3) ... More

Magnetic moment, vorticity-spin coupling and parity-odd conductivity of chiral fermions in 4-dimensional Wigner functionsApr 28 2015Aug 26 2015We demonstrate the emergence of the magnetic moment and spin-vorticity coupling of chiral fermions in 4-dimensional Wigner functions. In linear response theory with space-time varying electromagnetic fields, the parity-odd part of the electric conductivity ... More

Heat transfer statistics in extreme-near-field radiationJun 12 2018Aug 02 2018We investigate the full counting statistics of extreme-near-field radiative heat transfer using nonequilibrium Green's function formalism. In the extreme near field, the electron-electron interactions between two metallic bodies dominate the heat transfer ... More

On the Coupling Property and the Liouville Theorem for Ornstein-Uhlenbeck ProcessesApr 12 2011May 17 2011Using a coupling for the weighted sum of independent random variables and the explicit expression of the transition semigroup of Ornstein-Uhlenbeck processes driven by compound Poisson processes, we establish the existence of a successful coupling and ... More

FDCSUSYDecay: A MSSM Decay packageNov 10 2006Dec 01 2006FDCSUSYDecay is a FORTRAN program package generated by FDC (Feynman Diagram Calculation) system fully automatically. It is dedicated to calculate at tree-level all the possible 2-body decays of SUSY and Higgs particles in the Minimal Supersymmetric extension ... More

Next-to-Leading-Order QCD Corrections to e^ + e^- -> J/ψ+gg at the B FactoriesDec 31 2008Apr 27 2009We calculate the next-to-leading-order (NLO) QCD corrections to $e^+e^-\to J/\psi g g$ via color singlet $J/\psi(^3{-0.8mm}S_1)$ at the B factories. The result shows that the cross section is enhanced to $0.373\pb$ by a K factor (NLO/LO) of about 1.21. ... More

QCD corrections to double J/ψproduction in e+e- annihilation at \sqrt{s}=10.6 GeVJan 04 2008May 08 2008Next-to-Leading-Order(NLO) QCD corrections to double J/psi production in e^+e^- annihilation at sqrt{s}=10.6 GeV are calculated. We find that they greatly decrease the cross section, with a K factor (NLO/LO) ranging from -0.31 to 0.25 depending on the ... More

Elastic higher-order topological insulators with quantization of the quadrupole momentsSep 09 2019Higher-order topological insulators (HOTIs), labeling a new family of topological phases, has attracted enormous attention because of its potential as a new type of information carrier with quantized multipole polarization. Here we demonstrate that HOTIs ... More

The Radius-Luminosity Relationship Depends on Optical Spectra in Active Galactic NucleiSep 15 2019The radius-luminosity (R-L) relationship of active galactic nuclei (AGNs) established by the reverberation mapping (RM) observations has been widely used as a single-epoch black hole mass estimator in the research of large AGN samples. However, the recent ... More

The next-to-leading-order QCD correction to inclusive J/ψ(Υ) production in Z^0 decayJul 14 2010In this paper, we study the $J/\psi(\Upsilon)$ production in Z boson decay in color-singlet model(CSM). We calculate the next-to-leading-order (NLO) QCD correction to $Z \to Quarkonium+Q\bar{Q}$, the dominant contribution in the CSM, with the vector and ... More

Data-Driven CFD Modeling of Turbulent Flows Through Complex StructuresMar 29 2016The growth of computational resources in the past decades has expanded the application of Computational Fluid Dynamics (CFD) from the traditional fields of aerodynamics and hydrodynamics to a number of new areas. Examples range from the heat and fluid ... More

Lower bounded semi-Dirichlet forms associated with Lévy type operatorsAug 17 2011Aug 29 2012Let $k:E\times E\to [0,\infty)$ be a non-negative measurable function on some locally compact separable metric space $E$. We provide some simple conditions such that the quadratic form with jump kernel $k$ becomes a regular lower bounded (non-local, non-symmetric) ... More

The leptophilic dark matter with $Z'$ interaction: from indirect searches to future $e^+ e^-$ collider searchesJan 19 2015Feb 04 2015We investigate the scenario where the dark matter only interacts with the charged leptons in the standard model via a neutral vector mediator $Z'$. Such a scenario with a 430 GeV dark matter can fit the recent positron fluxes observed by the AMS-02 Collaborations, ... More

Non-adiabatic charge pump: an exact solutionNov 24 2002We derived a general and exact expression of current for quantum parametric charge pumps in the non-adiabatic regime at finite pumping frequency and finite driving amplitude. The non-perturbative theory predicts a remarkable plateau structure in the pumped ... More

Parametric pumping at finite frequencyJul 04 2001We report on a first principles theory for analyzing the parametric electron pump at a finite frequency. The pump is controlled by two pumping parameters with phase difference $\phi$. In the zero frequency limit, our theory predicts the well known result ... More

Current partition: Nonequilibrium Green's function ApproachJul 22 1998We present a solution to the problem of AC current partition in a multi-probe mesoscopic conductor within the nonequilibrium Green's function formalism. This allows the derivation of dynamic conductance which is appropriate for nonequilibrium situations ... More

First-principles investigation of dynamical properties of molecular devices under a steplike pulseNov 11 2010We report a computationally tractable approach to first principles investigation of time-dependent current of molecular devices under a step-like pulse. For molecular devices, all the resonant states below Fermi level contribute to the time-dependent ... More

Free-Space Data-Carrying Bendable Light CommunicationsJan 24 2018Bendable light beams have recently seen tremendous applications in optical manipulation, optical imaging, optical routing, micromachining, plasma generation and nonlinear optics. By exploiting curved light beams instead of traditional Gaussian beam for ... More

Phase space and quark mass effects in neutrino emissions in a color superconductorMay 09 2006Jun 30 2006We study the phase space for neutrino emissions with massive quarks in direct Urca processes in normal and color superconducting quark matter. We derive in QCD and the NJL model the Fermi momentum reduction resulting from Fermi liquid properties which ... More

Nonlinear I-V Characteristics of a Mesoscopic ConductorFeb 23 1999We present a general theoretical formulation, based on nonequilibrium Green's functions, for nonlinear DC transport in multi-probe mesoscopic conductors. The theory is gauge invariant and is useful for the predictions of current-voltage characteristics ... More

Shot noise of spin currentMay 05 2003We report an exact solution for the noise spectrum of spin-current without charge-current in a spin field effect transistor (SFET). For the SFET with two leads, it is found that both auto- and cross-correlation functions are needed to characterize the ... More

Quantum spin field effect transistorAug 26 2002We propose, theoretically, a new type of quantum field effect transistor that operates purely on the flow of spin current in the absence of charge current. This spin field effect transistor (SFET) is constructed without any magnetic material, but with ... More

Nonlinear Spin Polarized Transport Through a Quantum DotOct 21 1999We present a theoretical analysis of the nonlinear bias and temperature dependence of current-voltage characteristics of a spin-valve device which is formed by connecting a quantum dot to two ferromagnetic electrodes whose magnetic moments orient at an ... More

Perturbations of Functional Inequalities for Lévy Type Dirichlet FormsMar 29 2013Jan 25 2015Perturbations of super Poincar\'e and weak Poincar\'e inequalities for L\'evy type Dirichlet forms are studied. When the range of jumps is finite our results are natural extensions to the corresponding ones derived earlier for diffusion processes; and ... More

Enhancement of Secrecy of Block Ciphered Systems by Deliberate NoiseApr 01 2012This paper considers the problem of end-end security enhancement by resorting to deliberate noise injected in ciphertexts. The main goal is to generate a degraded wiretap channel in application layer over which Wyner-type secrecy encoding is invoked to ... More

A Multi-Interference-Channel Matrix Pair Beamformer for CDMA SystemsSep 30 2010Oct 01 2010Matrix pair beamformer (MPB) is a promising blind beamformer which exploits the temporal signature of the signal of interest (SOI) to acquire its spatial statistical information. It does not need any knowledge of directional information or training sequences. ... More

A general derivation of differential cross section in quark-quark scatterings at fixed impact parameterJan 15 2008We propose a general derivation of differential cross section in quark-quark scatterings at fixed impact parameters. The derivation is well defined and free of ambiguity in the conventional one. The approach can be applied to a variety of partonic and ... More

Exact solution to an interacting dimerized Kitaev model at symmetric pointJul 26 2017Jul 27 2017We study the interacting dimerized Kitaev chain at the symmetry point $\Delta=t$ and the chemical potential $\mu=0$ under open boundary conditions, which can be exactly solved by applying two Jordan-Wigner transformations and a spin rotation. By using ... More

Spin Fluctuations, Interband Coupling, and Unconventional Pairing in Iron-based SuperconductorsApr 25 2008Dec 13 2008Based on an effective two-band model and using the fluctuation-exchange (FLEX) approach, we explore spin fluctuations and unconventional superconducting pairing in Fe-based layer superconductors. It is elaborated that one type of interband antiferromagnetic ... More

The Additional Line Component within the Iron KαProfile in MCG-6-30-15: Evidence for Blob Ejection?Jul 07 2004The EPIC data of MCG -6-30-15 observed by XMM-Newton were analyzed for the complexities of the iron K-alpha line. Here we report that the additional line component (ALC) at 6.9 keV undoubtedly appears within the broad iron Kalpha; line profile at the ... More

Colocated MIMO Radar Waveform Design for Transmit Beampattern FormationMay 05 2015In this paper, colocated MIMO radar waveform design is considered by minimizing the integrated side-lobe level to obtain beam patterns with lower side-lobe levels than competing methods. First, a quadratic programming problem is formulated to design beam ... More

Band structure renormalization and weak pseudogap behavior in Na_{0.33}CoO_2: Fluctuation exchange study based on a single band modelAug 19 2007Mar 16 2008Based on a single band Hubbard model and the fluctuation exchange approximation, the effective mass and the energy band renormalization in Na$_{0.33}$CoO$_2$ is elaborated. The renormalization is observed to exhibit certain kind of anisotropy, which agrees ... More

Performance Analysis of l_0 Norm Constraint Least Mean Square AlgorithmMar 07 2012Mar 09 2013As one of the recently proposed algorithms for sparse system identification, $l_0$ norm constraint Least Mean Square ($l_0$-LMS) algorithm modifies the cost function of the traditional method with a penalty of tap-weight sparsity. The performance of $l_0$-LMS ... More

Access Strategy in Super WiFi Network Powered by Solar Energy Harvesting: A POMDP MethodJan 01 2017Jan 23 2019The recently announced Super Wi-Fi Network proposal in United States is aiming to enable Internet access in a nation-wide area. As traditional cable-connected power supply system becomes impractical or costly for a wide range wireless network, new infrastructure ... More