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### Results for "Hong Wang"

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Symmetric Reduction and Hamilton-Jacobi Equation of Rigid Spacecraft with a RotorJul 05 2013Jan 01 2014In this paper, we consider the rigid spacecraft with an internal rotor as a regular point reducible regular controlled Hamiltonian (RCH) system. In the cases of coincident and non-coincident centers of buoyancy and gravity, we give explicitly the motion ... More
Hamilton-Jacobi Theorems for Regular Controlled Hamiltonian System and Its ReductionsMay 15 2013Aug 17 2013In this paper, we first prove a Hamilton-Jacobi theorem for regular controlled Hamiltonian (RCH) system on cotangent bundle of a configuration manifold, by using the symplectic form. This result is an extension of the geometric version of Hamilton-Jacobi ... More
Regular Reduction of Controlled Magnetic Hamiltonian System with Symmetry of the Heisenberg GroupJun 11 2015Jul 08 2018A controlled magnetic Hamiltonian (CMH) system is a regular controlled Hamiltonian (RCH) system with magnetic symplectic form, it is an important special case of RCH system. Note that there is a magnetic term on the cotangent bundle of the Heisenberg ... More
The Geometrical Structure of Phase Space of the Controlled Hamiltonian System with SymmetryFeb 05 2018In this paper, from the viewpoint of completeness of Marsden-Weinstein reduction, we illustrate how to give the definitions of a controlled Hamiltonian (CH) system and a reducible controlled Hamiltonian system with symmetry; and how to describe the dynamics ... More
Partition of a Subset into Two Directed Cycles with Partial DegreesJul 26 2019Let $D=(V,A)$ be a directed graph of order $n\geq 6$. Let $W$ be a subset of $V$ with $|W|\geq 6$. Suppose that every vertex of $W$ has degree at least $(3n-3)/2$ in $D$. Then for any integer partition $|W|=n_1+n_2$ with $n_1\geq 3$ and $n_2\geq 3$, $D$ ... More
Symmetric Reduction and Hamilton-Jacobi Equation of Underwater Vehicle with Internal RotorsOct 11 2013Aug 17 2014In this paper, we first give the regular point reduction by stages and Hamilton-Jacobi theorem of regular controlled Hamiltonian (RCH) system with symmetry on the generalization of a semidirect product Lie group. Next, as an application of the theoretical ... More
Hamilton-Jacobi Theorems for Regular Reducible Hamiltonian Systems on a Cotangent BundleMar 23 2013Apr 06 2017In this paper, some of formulations of Hamilton-Jacobi equations for Hamiltonian system and regular reduced Hamiltonian systems are given. At first, an important lemma is proved, and it is a modification for the corresponding result of Abraham and Marsden ... 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
On The Stability of Video Detection and TrackingNov 20 2016Apr 04 2017In this paper, we study an important yet less explored aspect in video detection and tracking -- stability. Surprisingly, there is no prior work that tried to study it. As a result, we start our work by proposing a novel evaluation metric for video detection ... More
A Systemic Receptor Network Triggered by Human cytomegalovirus EntryAug 06 2010Virus entry is a multistep process that triggers a variety of cellular pathways interconnecting into a complex network, yet the molecular complexity of this network remains largely unsolved. Here, by employing systems biology approach, we reveal a systemic ... More
Wellposedness and regularity of steady-state two-sided variable-coefficient conservative space-fractional diffusion equationsJun 15 2016We study the Dirichlet boundary-value problem of steady-state two-sided variable-coefficient conservative space-fractional diffusion equations. We show that the Galerkin weak formulation, which was proved to be coercive and continuous for a constant-coefficient ... More
Criterion for the integrality of hypergeometric series with parameters from quadratic fieldsSep 29 2016For the hypergeometric series with parameters from the rational fields, there is an effective criterion due to Christol to decide whether the hypergeometric series is N-integral or not. Christol criterion is a basic and vital tool in the recent striking ... More
Quantum Generic Attacks on Feistel SchemesOct 08 2010Oct 12 2010The Feistel scheme is an important structure in the block ciphers. The security of the Feistel scheme is related to distinguishability with a random permutation. In this paper, efficient quantum algorithms for distinguishing classical 3,4-round and unbalanced ... More
The secondary periodic element $β_{p^2/p^2-1}$ and its applicationsFeb 25 2014Jun 26 2014In this paper we prove that $\beta_{p^2/p^2-1}$ survives to $E_\infty$ in the Adams-Novikov spectral sequence for $p\geqslant 5$. As an easy consequence we prove that $\beta_{sp^2/j}$ are perminent cycles for all $s\geqslant 1$, $j\leqslant p^2-1$. From ... More
Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memoryJun 13 2018Dec 31 2018In this paper, several two-grid finite element algorithms for solving parabolic integro-differential equations (PIDEs) with nonlinear memory are presented. Analysis of these algorithms is given assuming a fully implicit time discretization. It is shown ... More
Decoupling and near-optimal restriction estimates for Cantor setsJul 28 2016For any $\alpha\in(0,d)$, we construct Cantor sets in $\mathbb{R}^d$ of Hausdorff dimension $\alpha$ such that the associated natural measure $\mu$ obeys the restriction estimate $\| \widehat{f d\mu} \|_{p} \leq C_p \| f \|_{L^2(\mu)}$ for all $p>2d/\alpha$. ... More
Modified equations for weak stochastic symplectic schemes via their generating functionsNov 09 2014In this paper, a systematic approach of constructing modified equations for weak stochastic symplectic methods of stochastic Hamiltonian systems is given via using the generating functions of the stochastic symplectic methods. This approach is valid for ... More
The elementary symmetric functions of reciprocals of the elements of arithmetic progressionsNov 06 2013Mar 24 2014Let $a$ and $b$ be positive integers. In 1946, Erd\H{o}s and Niven proved that there are only finitely many positive integers $n$ for which one or more of the elementary symmetric functions of $1/b, 1/(a+b),..., 1/(an-a+b)$ are integers. In this paper, ... More
Anisotropic magnetotransport of superconducting and normal state in an electron-doped Nd_{1.85}Ce_{0.15}CuO_{4-δ} single crystalFeb 28 2011The anisotropic properties of an optimally doped Nd_{1.85}Ce_{0.15}CuO_{4-\delta} single crystal have been studied both below and above the critical temperature Tc via the resistivity measurement in magnetic field H up to 12 T. By scaling the conductivity ... More
Microscopic dynamics simulations of multi-nucleon transfer in $^{86}$Kr+$^{64}$Ni at 25 MeV/nucleonJan 09 2017Multi-nucleon transfer in $^{86}$Kr+$^{64}$Ni at an incident energy of 25 MeV/nucleon is for the first time investigated with a microscopic dynamics model: improved quantum molecular dynamics (ImQMD) model. The measured isotope distributions are reasonably ... More
Wellposedness of Neumann boundary-value problems of space-fractional differential equationsDec 07 2016Fractional differential equation (FDE) provides an accurate description of transport processes that exhibit anomalous diffusion but introduces new mathematical difficulties that have not been encountered in the context of integer-order differential equation. ... More
A cone restriction estimate using polynomial partitioningApr 18 2017We obtain improved Fourier restriction estimate for the truncated cone using the method of polynomial partitioning in dimension $n\geq 3$, which in particular solves the cone restriction conjecture for $n=5$, and recovers the sharp range for $3\leq n\leq ... 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 On the integrality of the elementary symmetric functions of$1, 1/3, ..., 1/(2n-1)$Dec 05 2011Erdos and Niven proved that for any positive integers$m$and$d$, there are only finitely many positive integers$n$for which one or more of the elementary symmetric functions of$1/m,1/(m+d), ..., 1/(m+nd)$are integers. Recently, Chen and Tang proved ... More Poisson Reduction of Controlled Hamiltonian System by Controllability DistributionDec 26 2013In this paper, we first study the Poisson reductions of controlled Hamiltonian (CH) system and symmetric CH system by controllability distributions. These reductions are the extension of Poisson reductions by distribution for Poisson manifolds to that ... More Hamilton-Jacobi Theorems for Nonholonomic Reducible Hamiltonian Systems on a Cotangent BundleAug 30 2015Jul 31 2016Hamilton-Jacobi theorem reveals the deeply internal relationship between the generating function and the dynamical vector field of a Hamiltonian system. Because of the restriction given by constraints, in general, the dynamical vector field of nonholonomic ... 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 Regularity and relaxed problems of minimizing biharmonic maps into spheresMay 04 2004For$n\ge 5$and$k\ge 4$, we show that any minimizing biharmonic map from$\Omega\subset R^n$to$S^k$is smooth off a closed set whose Hausdorff dimension is at most$n-5$. When$n=5$and$k=4$, for a parameter$\lambda\in [0,1]$we introduce a$\lambda$-relaxed ... More Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functionsOct 07 2012Oct 12 2012In the paper, the authors verify the complete monotonicity of the difference$e^{1/t}-\psi'(t)$on$(0,\infty)$, compute the completely monotonic degree and establish integral representations of the remainder of the Laurent series expansion of$e^{1/z}$, ... 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 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 POD/DEIM Reduced-Order Modeling of Time-Fractional Partial Differential Equations with Applications in Parameter IdentificationJun 22 2016Mar 07 2017In this paper, a reduced-order model (ROM) based on the proper orthogonal decomposition and the discrete empirical interpolation method is proposed for efficiently simulating time-fractional partial differential equations (TFPDEs). Both linear and nonlinear ... 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 A cellular automaton traffic flow model between the Fukui-Ishibashi and Nagel-Schreckenberg modelsFeb 07 2001We propose and study a new one-dimensional traffic flow cellular automaton (CA) model of high speed vehicles with the Fukui-Ishibashi-type acceleration for all cars and the Nagel-Schreckenberg-type (NS) stochastic delay only for the cars following the ... More Radiative E1 decays of X(3872)Jun 17 2010Feb 07 2011Radiative E1 decay widths of$\rm X(3872)$are calculated through the relativistic Salpeter method, with the assumption that$\rm X(3872)$is the$\chi_{c1}$(2P) state, which is the radial excited state of$\chi_{c1}$(1P). We firstly calculated the E1 ... More Pointwise convergence of noncommutative Fourier seriesAug 01 2019This paper is devoted to the study of convergence of Fourier series for non-abelian groups and quantum groups. It is well-known that a number of approximation properties of groups can be interpreted as some summation methods and mean convergence of associated ... 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 Fresnel operator, squeezed state and Wigner function for Caldirola-Kanai HamiltonianDec 03 2010Based on the technique of integration within an ordered product (IWOP) of operators we introduce the Fresnel operator for converting Caldirola-Kanai Hamiltonian into time-independent harmonic oscillator Hamiltonian. The Fresnel operator with the parameters ... More Curvatures at the singular points of algebraic curves and surfacesMay 18 2014In this paper, we study the computation of curvatures at the singular points of algebraic curves and surfaces. The idea is to convert the problem to compute the curvatures of the corresponding regular parametric curves and surfaces, which have intersections ... More Quantum transport theory for nanostructures with Rashba spin-orbital interactionNov 18 2004We report on a general theory for analyzing quantum transport through devices in the Metal-QD-Metal configuration where QD is a quantum dot or the device scattering region which contains Rashba spin-orbital and electron-electron interactions. The metal ... More Note on holographic entanglement entropy and complexity in St$\ddot{u}$ckelberg superconductorFeb 21 2019The holographic superconductors, as one of the most important application of gauge/gravity duality, promote the study of strongly coupled superconductors via classical general relativity living in one higher dimension. One of the interesting properties ... More Theory of Phase Transition in the Evolutionary Minority GameMay 29 2003We discover the mechanism for the transition from self-segregation (into opposing groups) to clustering (towards cautious behaviors) in the evolutionary minority game (EMG). The mechanism is illustrated with a statistical mechanics analysis of a simplified ... More Impact of Edge States on Device Performance of Phosphorene Heterojunction Tunneling Field Effect TransistorsJul 18 2016Black phosphorus (BP) tunneling transistors (TFETs) using heterojunction (He) are investigated by atomistic quantum transport simulations. It is observed that edge states have a great impact on transport characteristics of BP He-TFETs, which result in ... More Weakly Nonlinear AC Response: Theory and ApplicationDec 05 1997We report a microscopic and general theoretical formalism for electrical response which is appropriate for both DC and AC weakly nonlinear quantum transport. The formalism emphasizes the electron-electron interaction and maintains current conservation ... More A local approach for global partial density of statesMar 15 1997To apply the scattering approach for the problem of AC transport through coherent quantum conductors, various partial density of states must be evaluated. If the global partial density of states (GPDOS) is calculated externally using the energy derivatives ... More On exotic modular tensor categoriesOct 30 2007Jun 10 2008It has been conjectured that every$(2+1)$-TQFT is a Chern-Simons-Witten (CSW) theory labelled by a pair$(G,\lambda)$, where$G$is a compact Lie group, and$\lambda \in H^4(BG;Z)$a cohomology class. We study two TQFTs constructed from Jones' subfactor ... More Spectral approximation of a variable coefficient fractional diffusion equation in one space dimensionOct 29 2018In this article we consider the approximation of a variable coefficient (two-sided) fractional diffusion equation (FDE), having unknown$u$. By introducing an intermediate unknown,$q$, the variable coefficient FDE is rewritten as a lower order, constant ... More Incidence estimates for well spaced tubesApr 10 2019We prove analogues of the Szemer\'edi-Trotter theorem and other incidence theorems using$\delta$-tubes in place of straight lines, assuming that the$\delta$-tubes are well-spaced in a strong sense. Quantile-adaptive model-free variable screening for high-dimensional heterogeneous dataApr 08 2013Dec 11 2013We introduce a quantile-adaptive framework for nonlinear variable screening with high-dimensional heterogeneous data. This framework has two distinctive features: (1) it allows the set of active variables to vary across quantiles, thus making it more ... More Chinese-Portuguese Machine Translation: A Study on Building Parallel Corpora from Comparable TextsApr 05 2018Although there are increasing and significant ties between China and Portuguese-speaking countries, there is not much parallel corpora in the Chinese-Portuguese language pair. Both languages are very populous, with 1.2 billion native Chinese speakers ... More Excited Binomial States and Excited Negative Binomial States of the Radiation Field and Some of their Statistical PropertiesMar 16 1999Apr 09 1999We introduce excited binomial states and excited negative binomial states of the radiation field by repeated application of the photon creation operator on binomial states and negative binomial states. They reduce to Fock states and excited coherent states ... More Convergence Analysis of a Finite Difference Scheme for the Gradient Flow associated with the ROF ModelFeb 21 2013We present a convergence analysis of a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fatemi model. We devise an iterative algorithm to compute the solution of the finite ... More The Effects on$S$,$T$, and$U$from Higher-Dimensional Fermion RepresentationsOct 09 2006Inspired by a new class of walking technicolor models recently proposed using higher-dimensional technifermions, we consider the oblique corrections from heavy non-degenerate fermions with two classes of higher-dimensional representations of the electroweak ... More A Solvable High-Dimensional Model of GANMay 22 2018Despite the remarkable successes of generative adversarial networks (GANs) in many applications, theoretical understandings of their performance is still limited. In this paper, we present a simple shallow GAN model fed by high-dimensional input data. ... More Determination of the intrinsic velocity field in the M87 jetApr 12 2009A new method to estimate the Doppler beaming factor of relativistic large-scale jet regions is presented. It is based on multiwaveband fitting to radio-to-X-ray continua with synchrotron spectrum models. Combining our method with available observational ... More An extension of Stern's congruenceDec 18 2010Aug 03 2012Let$\{E_n\}$be the Euler numbers. In the paper we determine$E_{2^mk+b}-E_b$modulo$2^{m+7}$, where$k$and$m$are positive integers and$b\in{0,2,4,...}$. Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surfaceFeb 07 2015Oct 28 2015We clearly refine the fundamental framework of the thin-layer quantization procedure, and further develop the procedure by taking the proper terms of degree one in$q_3$($q_3$denotes the curvilinear coordinate variable perpendicular to curved surface) ... 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 Maximal planar networks with large clustering coefficient and power-law degree distributionDec 16 2004In this article, we propose a simple rule that generates scale-free networks with very large clustering coefficient and very small average distance. These networks are called {\bf Random Apollonian Networks}(RAN) as they can be considered as a variation ... More Spin-current induced electric fieldJan 21 2003We theoretically predict that a pure steady state spin-current without charge-current can induce an electric field. A formula for the induced electric field is derived and we investigate its characteristics. Conversely, a moving spin is affected by an ... More Weakly nonlinear quantum transport: an exactly solvable modelOct 25 1996We have studied the weakly non-linear quantum transport properties of a two-dimensional quantum wire which can be solved exactly. The non-linear transport coefficients have been calculated and interesting physical properties revealed. In particular we ... More Low Frequency Quantum Transport in a Three-probe Mesoscopic ConductorJan 25 1997The low frequency quantum transport properties of a three-probe mesoscopic conductor are studied using B\"uttiker's AC transport formalism. The static transmission coefficients and emittance matrix of the system were computed by explicitly evaluating ... More Evolutionary Dynamics in Complex Networks of Competing Boolean AgentsNov 26 2004We investigate the dynamics of network minority games on Kauffman's NK networks (Kauffman nets), growing directed networks (GDNets), as well as growing directed networks with a small fraction of link reversals (GDRNets). We show that the dynamics and ... More Peculiar$P-V$criticality of topological Hořava-Lifshitz black holesJul 28 2017Aug 08 2017We demonstrate the existence of$P-V$criticality of the topological Ho\v{r}ava-Lifshitz(HL) black holes with a spherical horizon$(k=1)$in the extended phase space. With the electric charge, we find that the critical behaviors of the HL black hole are ... More$γγ\rightarrow M^{+}M^{-}(M=π, K)$processes with twist-3 corrections in QCDDec 14 2015Jun 12 2016We study the$\gamma\gamma\rightarrow M^{+}M^{-}(M=\pi, K)$processes with the contributions from the two-particle twist-2 and twist-3 distribution amplitudes of pion and kaon mesons on BHL prescription in the standard hard-scattering approach. The results ... More Turán's Problem for TreesOct 27 2014For a forbidden graph$L$, let$ex(p;L)$denote the maximal number of edges in a simple graph of order$p$not containing$L$. Let$T_n$denote the unique tree on$n$vertices with maximal degree$n-2$, and let$T_n^*=(V,E)$be the tree on$n$vertices ... More Strong convergence rate of Runge--Kutta methods and simplified step-$N$Euler schemes for SDEs driven by fractional Brownian motionsNov 08 2017Mar 18 2018This paper focuses on the strong convergence rate of both Runge--Kutta methods and simplified step-$N$Euler schemes for stochastic differential equations driven by multi-dimensional fractional Brownian motions with$H\in(\frac12,1)$. Based on the continuous ... More Optimal order finite element approximations for variable-order time-fractional diffusion equationsMay 14 2019We study a fully discrete finite element method for variable-order time-fractional diffusion equations with a time-dependent variable order. Optimal convergence estimates are proved with the first-order accuracy in time (and second order accuracy in space) ... More Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth dataFeb 26 2019In this article we study the numerical approximation of a variable coefficient fractional diffusion equation. Using a change of variable, the variable coefficient fractional diffusion equation is transformed into a constant coefficient fractional diffusion ... More Temporal effects in trend prediction: identifying the most popular nodes in the futureDec 21 2014Prediction is an important problem in different science domains. In this paper, we focus on trend prediction in complex networks, i.e. to identify the most popular nodes in the future. Due to the preferential attachment mechanism in real systems, nodes' ... More Modularity-like objective function in annotated networksJan 16 2017We ascertain the modularity-like objective function whose optimization is equivalent to the maximum likelihood in annotated networks. We demonstrate that the modularity-like objective function is a linear combination of modularity and conditional entropy. ... More Distributed Output Regulation for a Class of Nonlinear Multi-Agent Systems with Unknown-Input LeadersAug 02 2015Oct 26 2015In this paper, a distributed output regulation problem is formulated for a class of uncertain nonlinear multi-agent systems subject to local disturbances. The formulation is given to study a leader-following problem when the leader contains unknown inputs ... More Convergence in probability of an ergodic and conformal multi-symplectic numerical scheme for a damped stochastic NLS equationNov 27 2016In this paper, we investigate the convergence order in probability of a novel ergodic numerical scheme for damped stochastic nonlinear Schr\"{o}dinger equation with an additive noise. Theoretical analysis shows that our scheme is of order one in probability ... More A fast method for variable-order space-fractional diffusion equationsJul 05 2019Jul 08 2019We develop a fast divided-and-conquer indirect collocation method for the homogeneous Dirichlet boundary value problem of variable-order space-fractional diffusion equations. Due to the impact of the space-dependent variable order, the resulting stiffness ... More Partially separable convexly-constrained optimization with non-Lipschitzian singularities and its complexityApr 23 2017An adaptive regularization algorithm using high-order models is proposed for partially separable convexly constrained nonlinear optimization problems whose objective function contains non-Lipschitzian$\ell_q$-norm regularization terms for$q\in (0,1)$. ... More Clique percolation in random graphsAug 08 2015Oct 01 2015As a generation of the classical percolation, clique percolation focuses on the connection of cliques in a graph, where the connection of two$k$-cliques means that they share at least$l<k$vertices. In this paper, we develop a theoretical approach to ... More Nonequilibrium current driven by a step voltage pulse: an exact solutionMar 09 2006One of the most important problems in nanoelectronic device theory is to estimate how fast or how slow a quantum device can turn on/off a current. For an arbitrary noninteracting phase-coherent device scattering region connected to the outside world by ... More Hamiltonian approach to the ac Josephson effect in superconducting-normal hybrid systemsAug 09 2001The ac Josephson effect in hybrid systems of a normal mesoscopic conductor coupled to two superconducting (S) leads is investigated theoretically. A general formula of the ac components of time-dependent current is derived which is valid for arbitrary ... More Anomalous Kondo effect of indirectly coupled double quantum dotsJul 11 2003Nov 04 2003We report theoretical investigations of indirectly coupled double quantum dots (QD) side connected to an one-dimensional quantum wire. Due to quantum interference controlled by the parameter$k_F L$, with$k_F$the Fermi wave number of the wire and$L... More Electrochemical capacitance of a leaky nano-capacitorOct 22 1999We report a detailed theoretical investigation on electrochemical capacitance of a nanoscale capacitor where there is a DC coupling between the two conductors. For this leaky'' quantum capacitor, we have derived general analytic expressions of the linear ... More Robustness of the helical edge states in topological insulatorsNov 22 2012Topological insulators (TI) are materials having an energy band gap in the bulk and conducting helical electronic states on the surface. The helical states are protected by time reversal symmetry thus are expected to be robust against static disorder ... More C3N: a Two Dimensional Semiconductor Material with High stiffness,Superior Stability and Bending Poisson's EffectMar 26 2017Recently, a new type of two-dimensional layered material, i.e. C3N, has been fabricated by polymerization of 2,3-diaminophenazine and used to fabricate a field-effect transistor device with an on/off current ratio reaching 5.5E10 (Adv. Mater. 2017, 1605625). ... More Adversarial Structured Prediction for Multivariate MeasuresDec 20 2017Dec 21 2017Many predicted structured objects (e.g., sequences, matchings, trees) are evaluated using the F-score, alignment error rate (AER), or other multivariate performance measures. Since inductively optimizing these measures using training data is typically ... More Productivity of Solar Flares and Magnetic Helicity Injection in Active RegionsMay 19 2010Jun 22 2010The main objective of this study is to better understand how magnetic helicity injection in an active region is related to the occurrence and intensity of solar flares. We therefore investigate magnetic helicity injection rate and unsigned magnetic flux, ... More Entropy fluctuations for directed polymers in 2+1 dimensionsOct 19 2000We find numerically that the sample to sample fluctuation of the entropy,\Delta S$, is a tool more sensitive in distinguishing how from high temperature behaviors, than the corresponding fluctuation in the free energy. In 1+1 dimensions we find a single ... More Negative Binomial States of the Radiation Field and their Excitations are Nonlinear Coherent StatesMar 03 1999Nov 29 1999We show that the well-known negative binomial states of the radiation field and their excitations are nonlinear coherent states. Excited nonlinear coherent state are still nonlinear coherent states with different nonlinear functions. We finally give exponential ... More Canonical Form and Separability of PPT States on Multiple Quantum SpacesApr 20 2005By using the "subtracting projectors" method in proving the separability of PPT states on multiple quantum spaces, we derive a canonical form of PPT states in${\Cb}^{K_1} \otimes {\Cb}^{K_2} \otimes ... \otimes {\Cb}^{K_m} \otimes {\Cb}^N$composite ... More Distributed Continuous-time Approximate Projection Protocols for Shortest Distance Optimization ProblemsMar 17 2015Feb 03 2016In this paper, we investigate the distributed shortest distance optimization problem for a multi-agent network to cooperatively minimize the sum of the quadratic distances from some convex sets, where each set is only associated with one agent. To deal ... More Degree-layer theory of network topologySep 18 2014The network topology can be described by the number of nodes and the interconnections among them. The degree of a node in a network is the number of connections it has to other nodes and the degree distribution is the probability distribution of these ... More Approach to Chandrasekhar-Kendall-Woltjer State in a Chiral PlasmaJul 05 2016Nov 15 2016We study the time evolution of the magnetic field in a plasma with a chiral magnetic current. The Vector Spherical Harmonic functions (VSH) are used to expand all fields. We define a measure for the Chandrasekhar-Kendall-Woltjer (CKW) state, which has ... More Nonadiabatic approach to dimerization gap and optical absorption coefficient of the Su-Schrieffer-Heeger modelSep 30 2002An analytical nonadiabatic approach has been developed to study the dimerization gap and the optical absorption coefficient of the Su-Schrieffer-Heeger model where the electrons interact with dispersive quantum phonons. By investigating quantitatively ... More Noncommutative maximal ergodic inequalities associated with doubling conditionsMay 13 2017Feb 01 2018This paper is devoted to the study of noncommutative maximal inequalities and ergodic theorems for group actions on von Neumann algebras. Consider a locally compact group$G$of polynomial growth with a symmetric compact subset$V$. Let$\alpha$be a ... More Growing Directed Networks: Organization and DynamicsAug 18 2004Oct 03 2005We study the organization and dynamics of growing directed networks. These networks are built by adding nodes successively in such a way that each new node has$K$directed links to the existing ones. The organization of a growing directed network is ... More Theory of the Three-Group Evolutionary Minority GameFeb 11 2004Based on the adiabatic theory for the evolutionary minority game (EMG) that we proposed earlier[1], we perform a detail analysis of the EMG limited to three groups of agents. We derive a formula for the critical point of the transition from segregation ... More Quantum Perfect-Fluid Kaluza-Klein CosmologySep 08 2003Sep 03 2007The perfect fluid cosmology in the 1+d+D dimensional Kaluza-Klein spacetimes for an arbitrary barotropic equation of state$p= n \rho$is quantized by using the Schutz's variational formalism. We make efforts in the mathematics to solve the problems in ... More Stable Lévy diffusion and related model fittingFeb 05 2019A fractional advection-dispersion equation (fADE) has been advocated for heavy-tailed flows where the usual Brownian diffusion models fail. A stochastic differential equation (SDE) driven by a stable L\'{e}vy process gives a forward equation that matches ... More A comparative study on nonlocal diffusion operators related to the fractional LaplacianNov 18 2017In this paper, we study four nonlocal diffusion operators, including the fractional Laplacian, spectral fractional Laplacian, regional fractional Laplacian, and peridynamic operator. These operators represent the infinitesimal generators of different ... More Correlating off-stoichiometric doping with nanoscale electronic disorder and quasiparticle interference pattern in high-$T_c$superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$Apr 18 2006Jan 15 2007A microscopic theory is presented for the observed electronic disorder in superconducting Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}\$. The essential phenomenology is shown to be consistent with the existence of two types of interstitial oxygen dopants: those serving ... More