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Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride: Anomalous Hall Effect and a Lattice ModelJan 24 2019A recent experiment reported a large anomalous Hall effect in Magic Angle Twisted Bilayer Graphene (TBG) aligned with a hexagonal boron nitride(h-BN) substrate at $\frac{3}{4}$ filling of the conduction band. In this paper we study this system theoretically, ... More

On Productions of Net-baryons in Central Au-Au Collisions at RHIC EnergiesSep 29 2015The transverse momentum and rapidity distributions of net-baryons (baryons minus anti-baryons) produced in central gold-gold (Au-Au) collisions at 62.4 and 200 GeV are analyzed in the framework of a multisource thermal model. Each source in the model ... More

Pair density wave, charge density wave and vortex in high Tc cupratesFeb 08 2018A recent scanning tunneling microscopy (STM) experiment reports the observation of charge density wave (CDW) with period of approximately 8a in the halo region surrounding the vortex core, in striking contrast to the approximately period 4a CDW that are ... More

Hydrodynamics of a 5D Einstein-dilaton black hole solution and the corresponding BPS stateNov 06 2011Dec 05 2011We apply the potential reconstruction approach to generate a series of asymptotically AdS (aAdS) black hole solutions, with a self-interacting bulk scalar field. Based on the method, we reproduce the pure AdS solution as a consistency check and we also ... More

Theoretical Derivation of $Σ$-$D$ Relation of Galactic SNRsSep 01 2009Aug 20 2014We derive the $\Sigma$-$D$ relation of Galactic supernova remnants of shell-type separately at adiabatic-phase and at radiative-phase through two sets of different formulas, considering the different physical processes of shell-type remnants at both stages. ... More

Strain driven sequential magnetic transitions in strained GdTiO3 on compressive substrates: a first-principles studyOct 06 2014The compressive strain effects on the magnetic ground state and electronic structure of strained GdTiO 3 have been studied by the first-principles method. Different from the congeneric YTiO3 and LaTiO3 cases both of which becomes the A-type antiferromagnetism ... More

Agglomerative clustering and collectiveness measure via exponent generating functionJul 30 2015Aug 07 2015The key in agglomerative clustering is to define the affinity measure between two sets. A novel agglomerative clustering method is proposed by utilizing the path integral to define the affinity measure. Firstly, the path integral descriptor of an edge, ... More

Network Slicing for Service-Oriented Networks Under Resource ConstraintsAug 24 2017To support multiple on-demand services over fixed communication networks, network operators must allow flexible customization and fast provision of their network resources. One effective approach to this end is network virtualization, whereby each service ... More

A remark on weaken restricted isometry property in compressed sensingApr 01 2015The restricted isometry property (RIP) has become well-known in the compressed sensing community. Recently, a weaken version of RIP was proposed for exact sparse recovery under weak moment assumptions. In this note, we prove that the weaken RIP is also ... More

On the Linear Convergence of the Cauchy Algorithm for a Class of Restricted Strongly Convex FunctionsNov 01 2016In this short note, we extend the linear convergence result of the Cauchy algorithm, derived recently by E. Klerk, F. Glineur, and A. Taylor, from the case of smooth strongly convex functions to the case of restricted strongly convex functions with certain ... More

Isospin splitting of nucleon effective mass and symmetry energy in isotopic nuclear reactionsNov 26 2016Within an isospin and momentum dependent transport model, the dynamics of isospin particles (nucleons and light clusters) in Fermi-energy heavy-ion collisions are investigated for constraining the isospin splitting of nucleon effective mass and the symmetry ... More

Production of proton-rich nuclei around Z=84-90 in fusion-evaporation reactionsNov 30 2016Within the framework of the dinuclear system model, production cross sections of proton-rich nuclei with charged numbers of Z=84-90 are investigated systematically. Possible combinations with the $^{28}$Si, $^{32}$S, $^{40}$Ar bombarding the target nuclides ... More

Detection of treatment effects by covariate-adjusted expected shortfallJan 07 2011The statistical tests that are commonly used for detecting mean or median treatment effects suffer from low power when the two distribution functions differ only in the upper (or lower) tail, as in the assessment of the Total Sharp Score (TSS) under different ... More

Propagating Terrace and Asymptotic Profile to Time-Periodic Reaction-Diffusion EquationsJan 16 2019This paper is concerned with the asymptotic behavior of solutions of time periodic reaction-diffusion equation \begin{equation*}\label{aaa} \begin{cases} u_{t}(x,t)=u_{xx}(x,t)+f(t,u(x,t)),\quad \,\,\forall x\in\mathbb{R},\,t>0,\\ u(x,0)=u_{0}(x), \quad ... More

The origin of bias independent conductance plateaus and zero bias conductance peaks in Bi2Se3/NbSe2 hybrid structuresJul 26 2016Superconducting proximity effect (SPE) in topological insulator (TI) and superconductor (SC) hybrid structure has attracted intense attention in recent years in an effort to search for mysterious Majorana fermions (MFs) in condensed matter systems. Here ... More

On Random Walks with a General Moving BarrierAug 17 2005Random walks with a general, nonlinear barrier have found recent applications ranging from reionization topology to refinements in the excursion set theory of halos. Here, we derive the first-crossing distribution of random walks with a moving barrier ... More

A Survey on Mobile Affective ComputingOct 07 2014Jul 29 2015This survey presents recent progress on Affective Computing (AC) using mobile devices. AC has been one of the most active research topics for decades. The primary limitation of traditional AC research refers to as impermeable emotions. This criticism ... More

Pairing between Atoms and Molecules in a Boson-Fermion Resonant MixtureApr 24 2005Oct 06 2005We consider a mixture of fermionic and bosonic atoms nearby interspecies Feshbach resonances, which have been observed recently in $^6$Li-$^{23}$Na mixture by MIT group, and in $^{40}$K-$^{87}$Rb mixture by JILA group. We point out that the fermion-boson ... More

Variants of alternating minimization method with sublinear rates of convergence for convex optimizationNov 26 2014Jan 15 2015The alternating minimization (AM) method is a fundamental method for minimizing convex functions whose variable consists of two blocks. How to efficiently solve each subproblems when applying the AM method is the most concerned task. In this paper, we ... More

Semistability-Based Convergence Analysis for Paracontracting Multiagent Coordination OptimizationAug 13 2013Dec 07 2013This sequential technical report extends some of the previous results we posted at arXiv:1306.0225.

Mean-field approximation for the chiral soliton in a chiral phase transitionJan 06 2014Sep 11 2015In the mean-field approximation we study the chiral soliton within the linear sigma model in a thermal vacuum. The chiral soliton equations with different boundary conditions are solved at finite temperatures and densities. The solitons are discussed ... More

Discovery of the correlation between peak episodic jet power and X-ray peak luminosity of the soft state in black hole transientsFeb 12 2015May 14 2015Episodic jets are usually observed in the intermediate state of black hole transients during their X-ray outbursts. Here we report the discovery of a strong positive correlation between the peak radio power of the episodic jet $P_{\rm jet}$ and the corresponding ... More

Projected shrinkage algorithm for box-constrained L1-minimizationAug 22 2014Box-constrained L1-minimization can perform remarkably better than classical L1-minimization when correction box constraints are available. And also many practical L1-minimization models indeed involve box constraints because they take certain values ... More

New bounds for circulant Johnson-Lindenstrauss embeddingsAug 29 2013This paper analyzes circulant Johnson-Lindenstrauss (JL) embeddings which, as an important class of structured random JL embeddings, are formed by randomizing the column signs of a circulant matrix generated by a random vector. With the help of recent ... More

On the number of P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in ${\bf R}^{2n}$Jun 19 2014In this paper, let $n\geq2$ be an integer, $P=diag(-I_{n-\kappa},I_\kappa,-I_{n-\kappa},I_\kappa)$ for some integer $\kappa\in[0, n)$, and $\Sigma \subset {\bf R}^{2n}$ be a partially symmetric compact convex hypersurface, i.e., $x\in \Sigma$ implies ... More

Direct Evidence of Metallic Bands in a Monolayer Boron SheetDec 16 2015Jul 22 2016The search for metallic boron allotropes has attracted great attention in the past decades and recent theoretical works predict the existence of metallicity in monolayer boron. Here, we synthesize the \b{eta}12-sheet monolayer boron on a Ag(111) surface ... More

A General Framework of Dual Certificate Analysis for Structured Sparse Recovery ProblemsJan 16 2012Apr 04 2012This paper develops a general theoretical framework to analyze structured sparse recovery problems using the notation of dual certificate. Although certain aspects of the dual certificate idea have already been used in some previous work, due to the lack ... More

Estimation of sums of random variables: Examples and information boundsFeb 10 2006This paper concerns the estimation of sums of functions of observable and unobservable variables. Lower bounds for the asymptotic variance and a convolution theorem are derived in general finite- and infinite-dimensional models. An explicit relationship ... More

Gradient methods for convex minimization: better rates under weaker conditionsMar 19 2013Sep 08 2013The convergence behavior of gradient methods for minimizing convex differentiable functions is one of the core questions in convex optimization. This paper shows that their well-known complexities can be achieved under conditions weaker than the commonly ... More

Bounds for Batch Codes with Restricted Query SizeOct 29 2015Feb 09 2016We present new upper bounds on the parameters of batch codes with restricted query size. These bounds are an improvement on the Singleton bound. The techniques for derivations of these bounds are based on the ideas in the literature for codes with locality. ... More

Stable P-symmetric closed characteristics on partially symmetric compact convex hypersurfacesApr 30 2015In this paper, let $n\geq2$ be an integer, $P=diag(-I_{n-\kappa},I_\kappa,-I_{n-\kappa},I_\kappa)$ for some integer $\kappa\in[0, n-1)$, and $\Sigma \subset {\bf R}^{2n}$ be a partially symmetric compact convex hypersurface, i.e., $x\in \Sigma$ implies ... More

Convergence Analysis and Parallel Computing Implementation for the Multiagent Coordination Optimization AlgorithmJun 02 2013Nov 29 2014In this report, a novel variation of Particle Swarm Optimization (PSO) algorithm, called Multiagent Coordination Optimization (MCO), is implemented in a parallel computing way for practical use by introducing MATLAB built-in function "parfor" into MCO. ... More

ZZ Brane Decay in D DimensionsJul 25 2006Nov 11 2006In this paper we consider the ZZ brane decay in a D-dimensional background with a linear dilaton and a Liouville potential switched on. We mainly calculate the closed string emission rate during the decay process. For the case of a spacelike dilaton we ... More

SUSY SU(5) $\times S_{4}$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large $θ^{PMNS}_{13}$Feb 24 2014Apr 26 2016We propose an $S_{4}$ flavor model based on supersymmetric (SUSY) SU(5) GUT. The first and third generations of \textbf{10} dimensional representations in SU(5) are all assigned to be $1_{1}$ of $S_{4}$. The second generation of \textbf{10} is to be $1_{2}$ ... More

Advances and Outlooks of Heat Transfer Enhancement by Longitudinal Vortex GeneratorsJan 31 2016Mar 05 2016In the last several decades, heat transfer enhancements using extended surface (fins) has received considerable attentions. A new heat transfer enhancement technique, longitudinal vortex generators (LVG), has received significant attention since the 1990s. ... More

Constraining the Infrared Behavior of the Soft-Wall AdS/QCD ModelMay 31 2011Sep 14 2013By requiring the correct Regge behavior in both meson and nucleon sectors, we determine the infrared asymptotic behavior of various background fields in the soft-wall AdS/QCD model, including the dilaton, the warp factor, and the scalar VEV. We then use ... More

Vortex Lattice in the Planar Bose-Einstein Condensates with Dipolar InteractionsJun 05 2005Dec 14 2005In this letter we investigate the effects of dipole-dipole interactions on the vortex lattices in fast rotating Bose-Einstein condensates. For single planar condensate, we show that the triangular lattice structure will be unfavorable when the s-wave ... More

Constraints on anomalous $tcZ$ coupling from $\bar B \to \bar K^* μ^+ μ^-$ and $B_s \to μ^+ μ^-$ decaysJan 31 2013Jun 05 2013In this paper, we analyze the possible anomalous $tcZ$ coupling effects in the $b \to s $ mediated decays $\bar B \to \bar K^* \mu^+ \mu^-$ and $B_s \to \mu^+ \mu^-$. After exploiting the available experimental data, the combined constraints on the anomalous ... More

Event patterns extracted from top quark-related spectra in proton-proton collisions at 8 TeVNov 30 2016We analyze the transverse momentum ($p_T$) and rapidity ($y$) spectra of top quark pairs, hadronic top quarks, and top quarks produced in proton-proton ($pp$) collisions at center-of-mass energy $\sqrt{s}=8$ TeV. For $p_T$ spectra, we use the superposition ... More

Prediction for $5^{++}$ mesonsOct 04 2018Jan 23 2019In this paper, we study the spectrum and decay behavior of $5^{++}$ meson family which is still missing in experiment. By the modified Godfrey-Isgur model with a color screening effect, we obtain the mass spectrum of $a_5$, $f_5$ and $f_5^\prime$ mesons. ... More

Candidate members of the Pal 5, GD-1, Cetus Polar, and Orphan tidal stellar halo streams from Sdss DR9, Lamost DR3 and APOGEE cataloguesMar 21 2017We present candidate members of the Pal 5, GD-1, Cetus Polar, and Orphan tidal stellar streams found in LAMOST DR3, SDSS DR9 and APOGEE catalogs. In LAMOST DR3, we find 20, 4, 24 high confidence candidates of tidal streams GD-1, Cetus Polar and Orphan ... More

Calibrated Elastic Regularization in Matrix CompletionNov 09 2012This paper concerns the problem of matrix completion, which is to estimate a matrix from observations in a small subset of indices. We propose a calibrated spectrum elastic net method with a sum of the nuclear and Frobenius penalties and develop an iterative ... More

Sparse Matrix Inversion with Scaled LassoFeb 13 2012Oct 14 2013We propose a new method of learning a sparse nonnegative-definite target matrix. Our primary example of the target matrix is the inverse of a population covariance or correlation matrix. The algorithm first estimates each column of the target matrix by ... More

Scaled Sparse Linear RegressionApr 24 2011Jun 21 2012Scaled sparse linear regression jointly estimates the regression coefficients and noise level in a linear model. It chooses an equilibrium with a sparse regression method by iteratively estimating the noise level via the mean residual square and scaling ... More

General maximum likelihood empirical Bayes estimation of normal meansAug 12 2009We propose a general maximum likelihood empirical Bayes (GMLEB) method for the estimation of a mean vector based on observations with i.i.d. normal errors. We prove that under mild moment conditions on the unknown means, the average mean squared error ... More

Exact Sparse Recovery with L0 ProjectionsFeb 04 2013Many applications concern sparse signals, for example, detecting anomalies from the differences between consecutive images taken by surveillance cameras. This paper focuses on the problem of recovering a K-sparse signal x in N dimensions. In the mainstream ... More

Nonlinear renewal theorems for random walks with perturbations of intermediate orderNov 22 2006We develop nonlinear renewal theorems for a perturbed random walk without assuming stochastic boundedness of centered perturbation terms. A second order expansion of the expected stopping time is obtained via the uniform integrability of the difference ... More

Adaptive Threshold Estimation by FDRDec 30 2013This paper addresses the following simple question about sparsity. For the estimation of an $n$-dimensional mean vector $\boldsymbol{\theta}$ in the Gaussian sequence model, is it possible to find an adaptive optimal threshold estimator in a full range ... More

One-loop matching for transversity generalized parton distributionSep 26 2015Recent developments showed that light cone parton distributions can be studied by investigating the large momentum limit of the so-called quasiparton distributions, which are defined in terms of spacelike correlators, and therefore can be readily computed ... More

Anisotropic behaviors of long-range RKKY interaction in 8-\textit{Pmmn} boropheneFeb 07 2019The 8-\textit{Pmmn} borophene as a novel two-dimensional Dirac material host novel anisotropic and tilted massless Dirac fermions (MDFs) and has attracted wide interest. However, the potential application of 8-\textit{Pmmn} borophene in spin fields has ... More

Theory of the GMM KernelAug 01 2016We develop some theoretical results for a robust similarity measure named "generalized min-max" (GMM). This similarity has direct applications in machine learning as a positive definite kernel and can be efficiently computed via probabilistic hashing. ... More

Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz MethodsOct 07 2016Solving time harmonic wave propagation problems by iterative methods is a difficult task, and over the last two decades, an important research effort has gone into developing preconditioners for the simplest representative of such wave propagation problems, ... More

Representations of Finite Dimensional Pointed Hopf Algebras over $\mathbb{z}_n$Jun 21 2011In this paper, we study the representations of the new finite-dimensional pointed Hopf algebras in positive characteristic given in \cite{Cib09}. We find that these Hopf algebras are symmetric algebras. We determine the simple modules and their projective ... More

On Tensor Completion via Nuclear Norm MinimizationMay 07 2014Many problems can be formulated as recovering a low-rank tensor. Although an increasingly common task, tensor recovery remains a challenging problem because of the delicacy associated with the decomposition of higher order tensors. To overcome these difficulties, ... More

The sparsity and bias of the Lasso selection in high-dimensional linear regressionAug 07 2008Meinshausen and Buhlmann [Ann. Statist. 34 (2006) 1436--1462] showed that, for neighborhood selection in Gaussian graphical models, under a neighborhood stability condition, the LASSO is consistent, even when the number of variables is of greater order ... More

Empirical Bayes methods for controlling the false discovery rate with dependent dataAug 07 2007False discovery rate (FDR) has been widely used as an error measure in large scale multiple testing problems, but most research in the area has been focused on procedures for controlling the FDR based on independent test statistics or the properties of ... More

Compressed Sensing with Very Sparse Gaussian Random ProjectionsAug 11 2014We study the use of very sparse random projections for compressed sensing (sparse signal recovery) when the signal entries can be either positive or negative. In our setting, the entries of a Gaussian design matrix are randomly sparsified so that only ... More

On the orbital evolution of a giant planet pair embedded in a gaseous disk. II. A Saturn-Jupiter configurationJul 26 2010We carry out a series of high-resolution (1024 X 1024) hydrodynamic simulations to investigate the orbital evolution of a Saturn-Jupiter pair embedded in a gaseous disk. This work extends the results of our previous work by exploring a different orbital ... More

On the orbital evolution of a giant planet pair embedded in a gaseous disk. I: Jupiter-Saturn configurationFeb 10 2010Mar 15 2010We carry out a series of high resolution ($1024\times 1024$) hydrodynamical simulations to investigate the orbital evolution of Jupiter and Saturn embedded in a gaseous protostellar disk. Our work extends the results in the classical papers of Masset ... More

Penalized Estimation in Additive Regression with High-Dimensional DataApr 24 2017Additive regression provides an extension of linear regression by modeling the signal of a response as a sum of functions of covariates of relatively low complexity. We study penalized estimation in high-dimensional nonparametric additive regression where ... More

Space-filling curves of self-similar sets (I): Iterated function systems with order structureSep 21 2015This paper is the first paper of three papers in a series, which intend to provide a systematic treatment for the space-filling curves of self-similar sets. In the present paper, we introduce a notion of \emph{linear graph-directed IFS} (linear GIFS in ... More

A Conversation with Yuan Shih ChowJun 22 2006Yuan Shih Chow was born in Hubei province in China, on September 1, 1924. The eldest child of a local militia and political leader, he grew up in war and turmoil. His hometown was on the front line during most of the Japanese invasion and occupation of ... More

Sharp Spectral Gaps on Metric Measure SpacesMar 01 2015In this paper, we extend the sharp lower bounds of spectal gap, due to Chen- Wang [10, 11], Bakry-Qian [6] and Andrews-Clutterbuck [5], from smooth Riemaniannian manifolds to general metric measure spaces with Riemannian curvature-dimension condition ... More

P-T phase diagram of a holographic s+p model from Gauss-Bonnet gravityMay 09 2015Oct 19 2015In this paper, we study the holographic s+p model in 5-dimensional bulk gravity with the Gauss-Bonnet term. We work in the probe limit and give the $\Delta$-T phase diagrams at three different values of the Gauss-Bonnet coefficient to show the effect ... More

Infinite Families of Optimal Splitting Authentication Codes Secure Against Spoofing Attacks of Higher OrderOct 02 2010We consider the problem of constructing optimal authentication codes with splitting. New infinite families of such codes are obtained. In particular, we establish the first known infinite family of optimal authentication codes with splitting that are ... More

A Nonconvex Approach for Structured Sparse LearningMar 07 2015Sparse learning is an important topic in many areas such as machine learning, statistical estimation, signal processing, etc. Recently, there emerges a growing interest on structured sparse learning. In this paper we focus on the $\ell_q$-analysis optimization ... More

Optimality of Graphlet Screening in High Dimensional Variable SelectionApr 29 2012Jun 13 2014Consider a linear regression model where the design matrix X has n rows and p columns. We assume (a) p is much large than n, (b) the coefficient vector beta is sparse in the sense that only a small fraction of its coordinates is nonzero, and (c) the Gram ... More

Faster Information Propagation on Highways: a Virtual MIMO ApproachSep 02 2014In vehicular communications, traffic-related information should be spread over the network as quickly as possible to maintain a safe and reliable transportation system. This motivates us to develop more efficient information propagation schemes. In this ... More

Sparse Recovery with Very Sparse Compressed CountingDec 31 2013Compressed sensing (sparse signal recovery) often encounters nonnegative data (e.g., images). Recently we developed the methodology of using (dense) Compressed Counting for recovering nonnegative K-sparse signals. In this paper, we adopt very sparse Compressed ... More

On the spectral radius of simple digraphs with prescribed number of arcsSep 24 2015This paper presents a sharp upper bound for the spectral radius of simple digraphs with described number of arcs. Further, the extremal graphs which attain the maximum spectral radius among all simple digraphs with fixed arcs are investigated. In particular, ... More

Complete multipartite graphs are determined by their distance spectraJul 23 2013It is well known that the complete multipartite graphs can not be determined by their adjacency spectra. But in this paper, we prove that they can be determined by their distance spectra, which confirms the conjecture proposed by Lin, Hong, Wang and Shu. ... More

The Terminal Wiener Index of Trees with Diameter or Maximum DegreeOct 12 2015The terminal Wiener index of a tree is the sum of distances for all pairs of pendent vertices, which recently arises in the study of phylogenetic tree reconstruction and the neighborhood of trees. This paper presents a sharp upper and lower bounds for ... More

The Wiener Index of Unicyclic Graphs with Girth and the Matching NumberFeb 26 2011In this paper, we investigate how the Wiener index of unicyclic graphs varies with graph operations. These results are used to present a sharp lower bound for the Wiener index of unicyclic graphs of order $n$ with girth and the matching number $\beta\ge ... More

The Wiener and Terminal Wiener indices of treesMay 27 2013Heydari \cite{heydari2013} presented very nice formulae for the Wiener and terminal Wiener indices of generalized Bethe trees. It is pity that there are some errors for the formulae. In this paper, we correct these errors and characterize all trees with ... More

The Minimum Spectral Radius of Graphs with the Independence NumberAug 09 2013In this paper, we investigate some properties of the Perron vector of connected graphs. These results are used to characterize that all extremal connected graphs with having the minimum (maximum) spectra radius among all connected graphs of order $n=k\alpha$ ... More

A Method to Search for Black Hole Candidates with Giant Companions by LAMOSTFeb 07 2019We propose a method to search for stellar-mass black hole (BH) candidates with giant companions from spectroscopic observations. Based on the stellar spectra of LAMOST Data Release 6, we obtain a sample of seven giants in binaries with large radial velocity ... More

Gate-tunable Phase Transitions in 1T-TaS$_2$Jul 13 2014The ability to tune material properties using gate electric field is at the heart of modern electronic technology. It is also a driving force behind recent advances in two-dimensional systems, such as gate-electric-field induced superconductivity and ... More

Compressed Counting Meets Compressed SensingOct 03 2013Compressed sensing (sparse signal recovery) has been a popular and important research topic in recent years. By observing that natural signals are often nonnegative, we propose a new framework for nonnegative signal recovery using Compressed Counting ... More

On the Two Conjectures of the Wiener IndexApr 03 2013The Wiener index of a graph, which is the sum of the distances between all pairs of vertices, has been well studied. Recently, Sills and Wang in 2012 proposed two conjectures on the maximal Wiener index of trees with a given degree sequence. This note ... More

A density problem for Sobolev spaces on planar domainsAug 06 2015We prove that for a bounded simply connected domain $\Omega\subset \mathbb R^2$, the Sobolev space $W^{1,\,\infty}(\Omega)$ is dense in $W^{1,\,p}(\Omega)$ for any $1\le p<\infty$. Moreover, we show that if $\Omega$ is Jordan, then $C^{\infty}(\mathbb ... More

Exactly Solvable Model of Superstring in Plane-wave Background with Linear Null DilatonSep 15 2005Feb 17 2006In this paper, we study an exactly solvable model of IIB superstring in a time-dependent plane-wave backgound with a constant self-dual Ramond-Ramond 5-form field strength and a linear dilaton in the light-like direction. This background keeps sixteen ... More

Beam test of a one-dimensional position sensitive chamber on synchrotron radiationMay 25 2013One-dimensional single-wire chamber was developed to provide high position resolution for powder diffraction experiments with synchrotron radiation. A diffraction test using the sample of SiO2 has been accomplished at 1W2B laboratory of Beijing Synchrotron ... More

The Algebraic Connectivity and the Clique Number of GraphsJun 30 2013This paper investigates some relationship between the algebraic connectivity and the clique number of graphs. We characterize all extremal graphs which have the maximum and minimum the algebraic connectivity among all graphs of order $n$ with the clique ... More

Dirac fermions in boropheneFeb 02 2017Honeycomb structures of group IV elements can host massless Dirac fermions with non-trivial Berry phases. Their potential for electronic applications has attracted great interest and spurred a broad search for new Dirac materials especially in monolayer ... More

Holographic paramagnetism-ferromagnetism phase transition with the nonlinear electrodynamicsSep 29 2016In the probe limit, we investigate the nonlinear electrodynamical effects of the both exponential form and the logarithmic form on the holographic paramagnetism-ferromagnetism phase transition in the background of a Schwarzschild-AdS black hole spacetime. ... More

Transparency and amplification in a hybrid system of mechanical resonator and circuit QEDMay 23 2014We theoretically study the transparency and amplification of a weak probe field applied to the cavity in hy- brid systems formed by a driven superconducting circuit QED system and a mechanical resonator, or a driven optomechanical system and a superconducting ... More

Eight Planets in Four Multi-planet Systems via Transit Timing Variations in 1350 DaysAug 05 2013Jan 04 2015Analysis of the transit timing variations (TTVs) of candidate pairs near mean-motion resonances (MMRs) is an effective method to confirm planets. Hitherto, 68 planets in 34 multi-planet systems have been confirmed via TTVs. We analyze the TTVs of all ... More

Configurations of Bounded and Free-floating Planets in Very Young Open ClustersJul 15 2013Open clusters(OCs) are usually young and suitable for studying the formation and evolution of planetary systems. Hitherto, only four planets have been found with radial velocity measurements in OCs. Meanwhile, a lot of free-floating planets(FFPs) have ... More

An unconventional geometric phase gate with two nonresonant quantum dots trapped in a photonic crystal cavityNov 28 2010Jun 23 2011We propose a scheme for realizing a two-qubit controlled phase gate via an unconventional geometric phase with two nonresonant quantum dots trapped in a photonic crystal cavity. In this system, the quantum dots simultaneously interact with a large detuned ... More

Deep Collaborative Learning for Visual RecognitionMar 03 2017Deep neural networks are playing an important role in state-of-the-art visual recognition. To represent high-level visual concepts, modern networks are equipped with large convolutional layers, which use a large number of filters and contribute significantly ... More

Two-qubit controlled phase gate based on two nonresonant quantum dots trapped in a coupled-cavity arrayApr 13 2011We propose a scheme for realizing quantum controlled phase gates with two nonidentical quantum dots trapped in two coupled photonic crystal cavities and driven by classical laser fields under the condition of non-small hopping limit. During the gate operation, ... More

Conserving and Gapless Hartree-Fock-Bogoliubov theory for 3D dilute Bose gas at finite temperatureJul 22 2013Sep 03 2013The energy spectrum for the three dimensional Bose gas in Bose-Einstein Condensation phase is calculated with Modified Hartree-Fock-Bogoliubov theory, which is both conserving and gapless. From Improved $\Phi -$% derivable theory, the diagrams needed ... More

Calibration of Interaction Energy between Bose and Fermi SuperfluidsSep 01 2014Dec 17 2014In this letter we study the interaction energy in a mixture of Bose and Fermi superfluids realized in recent cold atom experiment. On the Bose-Einstein-condensate (BEC) side of a Feshbach resonance between fermionic atoms, this interaction energy can ... More

Physics of Gluon Helicity Contribution to Proton SpinApr 24 2013The total gluon helicity in a polarized proton, measurable in high-energy scattering, is shown to be the large momentum limit of a gauge-invariant but non-local, frame-dependent gluon spin $\vec{E}\times \vec{A}_\perp$ in QCD. This opens a door for a ... More

The Statistics of Density Peaks and the Column Density Distribution of the Lyman-Alpha ForestAug 24 1996Jun 23 1997We develop a method to calculate the column density distribution of the Lyman-alpha forest for column densities in the range $10^{12.5} - 10^{14.5} cm^{-2}$. The Zel'dovich approximation, with appropriate smoothing, is used to compute the density and ... More

Blind Known Interference CancellationOct 14 2011This paper investigates interference-cancellation schemes at the receiver, in which the original data of the interference is known a priori. Such a priori knowledge is common in wireless relay networks. For example, a transmitting relay could be relaying ... More

Synchronization Analysis in Physical Layer Network CodingDec 31 2009Physical-layer Network Coding (PNC) makes use of the additive nature of the electromagnetic (EM) waves to apply network coding arithmetic at the physical layer. With PNC,the destructive effect of interference in wireless networks is eliminated and the ... More

Evolution of Higgs mode in a Fermion Superfluid with Tunable InteractionsFeb 02 2015In this letter we present a coherent picture for the evolution of Higgs mode in both neutral and charged $s$-wave fermion superfluids, as the strength of attractive interaction between fermions increases from the BCS to the BEC regime. In the case of ... More

Mesoscopic Kondo screening effect in a single-electron transistor embedded in a metallic ringMay 22 2001Jun 05 2001We study the Kondo screening effect generated by a single-electron transistor or quantum dot embedded in a small metallic ring. When the ring circumference $L$ becomes comparable to the fundamental length scale $\xi_K^0=\hbar \upsilon _F/T_K^0$ associated ... More

Marginal Fermi liquid resonance induced by a quantum magnetic impurity in d-wave superconductorsNov 17 2000We consider a model of an Anderson impurity embedded in a $d_{x^2-y^2}$-wave superconducting state to describe the low-energy excitations of cuprate superconductors doped with a small amount of magnetic impurities. Due to the Dirac-like energy dispersion, ... More