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Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spacesJul 02 2018Oct 16 2018We study the boundedness on the Wiener amalgam spaces $W^{p,q}_s$ of Fourier multipliers with symbols of the type $e^{i\mu(\xi)}$, for some real-valued functions $\mu(\xi)$ whose prototype is $|\xi|^{\beta}$ with $\beta\in (0,2]$. Under some suitable ... More

An improvement on the relatively compactness criteriaApr 06 2019This paper is devoted to the study of the relatively compact sets in Banach function spaces, providing an important improvement of the known results. As an application, we take the final step in establishing a relative compactness criteria for function ... More

Sharp Weighted Convolution Inequalities and Some ApplicationsFeb 09 2016Sep 06 2017In this paper, the index groups for which the weighted Young's inequalities hold in both continuous case and discrete case are characterized. As applications, the index groups for the product inequalities on modulation spaces are characterized, we also ... More

Unimodular multipliers on $α$-modulation spaces: A revisit with new method under weaker conditionsMar 16 2019By a new method derived from Nicola--Primo--Tabacco[24], we study the boundedness on $\alpha$-modulation spaces of unimodular multipliers with symbol $e^{i\mu(\xi)}$. Comparing with the previous results, the boundedness result is established for a larger ... More

Hausdorff operators on the Sobolev spaces $W^{k,1}$Oct 29 2017Mar 07 2018This paper is served as a first contribution regarding the boundedness of Hausdorff operators on function spaces with smoothness. The sharp conditions are established for boundedness of Hausdorff operators on Sobolev spaces $W^{k,1}$. As applications, ... More

Sharp embedding relations between Local Hardy and $α$-Modulation SpacesSep 17 2016We give the optimal embedding relations between local Hardy space and $\alpha$-modulation spaces, which extend the results for the embedding relations between local Hardy and modulation spaces obtained by Kobayashi, Miyachi and Tomita in [Studia Math. ... More

Inclusion relations between Modulation and Triebel-Lizorkin spacesSep 17 2016In this paper, we obtain the sharp conditions of the inclusion relations between modulation spaces $M_{p,q}^s$ and Triebel-Lizorkin spaces $F_{p,r}$ for $p\leq 1$, which greatly improve and extend the results for the embedding relations between local ... More

Hausdorff operators on modulation and Wiener amalgam spacesSep 24 2017We give the sharp conditions for boundedness of Hausdorff operators on certain modulation and Wiener amalgam spaces.

The LAMOST Stellar Parameter Pipeline at Peking University --- LSP3Dec 20 2014We introduce the LAMOST Stellar Parameter Pipeline at Peking University --- LSP3, developed and implemented for the determinations of radial velocity $V_{\rm r}$ and stellar atmospheric parameters (effective temperature $T_{\rm eff}$, surface gravity ... More

Unsupervised Adversarial Attacks on Deep Feature-based Retrieval with GANJul 12 2019Studies show that Deep Neural Network (DNN)-based image classification models are vulnerable to maliciously constructed adversarial examples. However, little effort has been made to investigate how DNN-based image retrieval models are affected by such ... More

Sharp Weighted Convolution Inequalities and Some ApplicationsFeb 09 2016In this paper, the index groups for which the weighted Young's inequalities hold in both continuous case and discrete case are characterized. As applications, the index groups for the product inequalities on modulation spaces are characterized, we also ... More

Full Characterization of embedding relations between alpha modulation spacesJun 04 2016Jul 21 2016In this paper, we consider the embedding relations between any two $\alpha$% -modulation spaces. Based on an observation that the $\alpha$-modulation space with smaller $\alpha$ can be regarded as a corresponding $\alpha$% -modulation space with larger ... More

Characterization of inclusion relations between wiener amalgam and some classical spacesSep 17 2016Sep 27 2016In this paper, we establish the sharp conditions for the inclusion relations between Besov spaces $B_{p,q}$ and Wiener amalgam spaces $W_{p,q}^s$. We also obtain the optimal inclusion relations between local hardy spaces $h^p$ and Wiener amalgam spaces ... More

Characterization of Some Properties on Weighted Modulation SpacesFeb 09 2016In this paper, some properties on weighted modulation and Wiener amalgam spaces are characterized by the corresponding properties on weighted Lebesgue spaces. As applications, sharp conditions for product inequalities, convolution inequalities and embedding ... More

LAMOST Spectroscopic Survey of the Galactic Anti-centre (LSS-GAC): target selection and the first release of value-added cataloguesDec 20 2014As a major component of the LAMOST Galactic surveys, the LAMOST Spectroscopic Survey of the Galactic Anti-centre (LSS-GAC) aims to survey a significant volume of the Galactic thin/thick discs and halo for a contiguous sky area of over 3,400 deg$^2$ centred ... More

A New Splitting Method for Time-dependent Convection-dominated Diffusion ProblemsFeb 17 2013We present a new splitting method for time-dependent convection-dominated diffusion problems. The original convection diffusion system is split into two sub-systems: a pure convection system and a diffusion system. At each time step, a convection problem ... More

Relative Flux Calibration of the LAMOST Spectroscopic Survey of the Galactic Anti-centerDec 20 2014We have developed and implemented an iterative algorithm of flux calibration for the LAMOST Spectroscopic Survey of the Galactic anti-center (LSS-GAC). For a given LSS-GAC plate, the spectra are first processed with a set of nominal spectral response ... More

LAMOST Spectroscopic Survey of the Galactic Anticentre (LSS-GAC): the second release of value-added cataloguesJan 19 2017We present the second release of value-added catalogues of the LAMOST Spectroscopic Survey of the Galactic Anticentre (LSS-GAC DR2). The catalogues present values of radial velocity $V_{\rm r}$, atmospheric parameters --- effective temperature $T_{\rm ... More

RUM: network Representation learning throUgh Multi-level structural information preservationOct 08 2017We have witnessed the discovery of many techniques for network representation learning in recent years, ranging from encoding the context in random walks to embedding the lower order connections, to finding latent space representations with auto-encoders. ... More

A Conditional Variational Framework for Dialog GenerationApr 30 2017Jul 06 2017Deep latent variable models have been shown to facilitate the response generation for open-domain dialog systems. However, these latent variables are highly randomized, leading to uncontrollable generated responses. In this paper, we propose a framework ... More

The Navier-Stokes-$α$ equation via forward-backward stochastic differential systemsOct 28 2016In this paper, we use forward-backward stochastic differential systems to study the solution of two and d dimensional ($d\geq 3$) Navier-Stokes-$\alpha$ equation. For the two dimensional Navier-Stokes-$\alpha$ equation with space periodic boundary conditions, ... More

Spin torque nano-oscillators based on antiferromagnetic skyrmionsNov 07 2018Skyrmion-based spin torque nano-oscillators are potential next-generation microwave signal generators. However, ferromagnetic skyrmion-based spin torque nano-oscillators cannot reach high oscillation frequencies. In this work, we propose to use the circular ... More

Dynamics of the antiferromagnetic skyrmion induced by a magnetic anisotropy gradientAug 27 2018Oct 09 2018The dynamics of antiferromagnets is a current hot topic in condensed matter physics and spintronics. However, the dynamics of insulating antiferromagnets cannot be excited by an electric current, which is a method usually used to manipulate ferromagnetic ... More

Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutritNov 15 2018Nonadiabatic holonomic quantum computation has received increasing attention due to its robustness against control errors as well as high-speed realization. The original protocol of nonadiabatic holonomic one-qubit gates has been experimentally demonstrated ... More

Current-Induced Dynamics and Chaos of an Antiferromagnetic BimeronMay 22 2019Magnetic bimeron is a topologically non-trivial spin texture carrying an integer topological charge, which can be regarded as the counterpart of skyrmion in easy-plane magnets. The controllable creation and manipulation of bimerons are crucial for practical ... More

A decade of skyrmionics: Writing, deleting, reading and processing magnetic skyrmions toward spintronic applicationsJun 11 2019Jun 12 2019The field of skyrmionics has been actively investigated across a wide range of topics during the last decade. In this topical review, we review and discuss key results and findings in skyrmionics since the first experimental observation of magnetic skyrmions ... More

A decade of skyrmionics: Writing, deleting, reading and processing magnetic skyrmions roward spintronic applicationsJun 11 2019The field of skyrmionics has been actively investigated across a wide range of topics during the last decade. In this topical review, we review and discuss key results and findings in skyrmionics since the first experimental observation of magnetic skyrmions ... More

Comparisons of Some Iterative Algorithms for Biot EquationsAug 29 2017In this paper, we aim at solving the Biot model under stabilized finite element discretizations. To solve the resulting generalized saddle point linear systems, some iterative methods are proposed and compared. In the first method, we apply the GMRES ... More

Interference of surface plasmon polaritons from a "point" sourceDec 30 2010The interference patterns of the surface plasmon polaritons(SPPs) on the metal surface from a "point" source are observed. These interference patterns come from the forward SPPs and the reflected one from the obstacles, such as straightedge,corner, and ... More

Random Forest for Label RankingAug 27 2016Label ranking aims to learn a mapping from instances to rankings over a finite number of predefined labels. Random forest is a powerful and one of the most successfully general-purpose machine learning algorithms of modern times. In the literature, there ... More

The least signless Laplacian eigenvalue of the complements of bicyclic graphsJul 10 2019Suppose that $G$ is a connected simple graph with the vertex set $V(G)=\{v_1, v_2,\cdots,v_n\}$. Then the adjacency matrix of $G$ is $A(G)=(a_{ij})_{n\times n}$, where $a_{ij}=1$ if $v_i$ is adjacent to $v_j$, and otherwise $a_{ij}=0$. The degree matrix ... More

Dataset for the First Evaluation on Chinese Machine Reading ComprehensionSep 25 2017Mar 15 2018Machine Reading Comprehension (MRC) has become enormously popular recently and has attracted a lot of attention. However, existing reading comprehension datasets are mostly in English. To add diversity in reading comprehension datasets, in this paper ... More

Attention-over-Attention Neural Networks for Reading ComprehensionJul 15 2016Jun 06 2017Cloze-style queries are representative problems in reading comprehension. Over the past few months, we have seen much progress that utilizing neural network approach to solve Cloze-style questions. In this paper, we present a novel model called attention-over-attention ... More

A Span-Extraction Dataset for Chinese Machine Reading ComprehensionOct 17 2018Aug 29 2019Machine Reading Comprehension (MRC) has become enormously popular recently and has attracted a lot of attention. However, the existing reading comprehension datasets are mostly in English. In this paper, we introduce a Span-Extraction dataset for Chinese ... More

Some graft transformations and their applications on distance (signless) Laplacian spectra of graphsJul 04 2019Suppose that the vertex set of a connected graph $G$ is $V(G)=\{v_1,\cdots,v_n\}$. Then we denote by $Tr_{G}(v_i)$ the sum of distances between $v_i$ and all other vertices of $G$. Let $Tr(G)$ be the $n\times n$ diagonal matrix with its $(i,i)$-entry ... More

Lower Bound Approximation to Basket Option Values for Local Volatility Jump-Diffusion ModelsDec 13 2012Oct 12 2013In this paper we derive an easily computed approximation to European basket call prices for a local volatility jump-diffusion model. We apply the asymptotic expansion method to find the approximate value of the lower bound of European basket call prices. ... More

Enhancing Remote Sensing Image Retrieval with Triplet Deep Metric Learning NetworkFeb 15 2019With the rapid growing of remotely sensed imagery data, there is a high demand for effective and efficient image retrieval tools to manage and exploit such data. In this letter, we present a novel content-based remote sensing image retrieval method based ... More

University-Industry-Government Relations in China: An emergent national system of innovationsDec 14 2010Since 1992, a new Chinese innovation system has been emerging in terms of university-industry-government relations. In recent years, science parks, incubators, and high-tech development zones have been provided with strong incentives. The commitment of ... More

Image Companding and Inverse Halftoning using Deep Convolutional Neural NetworksJul 01 2017Jul 21 2017In this paper, we introduce deep learning technology to tackle two traditional low-level image processing problems, companding and inverse halftoning. We make two main contributions. First, to the best knowledge of the authors, this is the first work ... More

Random Forest for Label RankingAug 27 2016Jun 16 2018Label ranking aims to learn a mapping from instances to rankings over a finite number of predefined labels. Random forest is a powerful and one of the most successful general-purpose machine learning algorithms of modern times. In this paper, we present ... More

Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion MethodMar 09 2010In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We derive a forward partial integral differential equation ... More

KCAT: A Knowledge-Constraint Typing Annotation ToolJun 13 2019Fine-grained Entity Typing is a tough task which suffers from noise samples extracted from distant supervision. Thousands of manually annotated samples can achieve greater performance than millions of samples generated by the previous distant supervision ... More

A stochastic variational approach to the viscous Camassa-Holm and Leray-alpha equationsAug 17 2015May 04 2016We derive the (d-dimensional) periodic incompressible and viscous Camassa-Holm equation as well as the Leray-alpha equations via a stochastic variational principle. We discuss the existence of solution for this equation in the space H1 using the probabilistic ... More

On the dispersion management of fluorite whispering-gallery mode resonators for Kerr optical frequency comb generation in the telecom and mid-infrared rangeJan 10 2015Optical whispering gallery mode (WGM) resonators have been very attracting platforms for versatile Kerr frequency comb generations. We report a systematic study on the material dispersion of various optical materials that are capable of supporting quality ... More

Existence and Stability of Coexistence States for a Nonlocal Evolution SystemMay 20 2011Mar 05 2012In this paper, we study a nonlocal evolution system. We apply abstract results from the bifurcation theory to obtain the existence of coexistence states. Their stability are investigated as well.

A Clustering Based Approach for Realistic and Efficient Data-Driven Crowd SimulationJun 15 2015Oct 29 2015In this paper, we present a data-driven approach to generate realistic steering behaviors for virtual crowds in crowd simulation. We take advantage of both rule-based models and data-driven models by applying the interaction patterns discovered from crowd ... More

Extremal regular graphs: independent sets and graph homomorphismsOct 28 2016This survey concerns regular graphs that are extremal with respect to the number of independent sets, and more generally, graph homomorphisms. The main motivating problem is the following: in the family of $d$-regular graphs, which graph $G$ maximize/minimize ... More

A Spectral Analysis of Subspace Enchanced PreconditionersApr 07 2013It is well-known that the convergence of Krylov subspace methods to solve linear system depends on the spectrum of the coefficient matrix, moreover, it is widely accepted that for both symmetric and unsymmetric systems Krylov subspace methods will converge ... More

A Study on Perturbation Analysis of Spectral PreconditionersOct 10 2011Dec 10 2011It is well-known that the convergence of Krylov subspace methods to solve linear system depends on the spectrum of the coefficient matrix, moreover, it is widely accepted that for both symmetric and unsymmetric systems Krylov subspace methods will converge ... More

Remarks on PBW bases of Ringel-Hall algebras of cyclic quiversAug 22 2016In this paper, we give a recursive formula for the interesting PBW basis $E_{A}$ of composition subalgebras of Ringel-Hall algebras $\fkH_\vartri(n)$ of cyclic quivers after \cite{DengDuXiao2007generic}, and another construction of canonical bases of ... More

Ballistic Motion in One-Dimensional Quasi-Periodic Discrete Schrödinger EquationJul 31 2015Feb 10 2016For the solution $q(t)=(q_n(t))_{n\in\mathbb Z}$ to one-dimensional discrete Schr\"odinger equation $${\rm i}\dot{q}_n=-(q_{n+1}+q_{n-1})+ V(\theta+n\omega) q_n, \quad n\in\mathbb Z,$$ with $\omega\in\mathbb R^d$ Diophantine, and $V$ a small real-analytic ... More

QED Test at LEP200 Energies in the Reaction $\rm e^+ e^-\to γγ (γ)$Dec 08 2000Apr 06 2002The measurements of the QED reaction $ \EEGG $ performed with the L3 detector are used to search for new physics phenomena beyond the Standard Model. No evidence for these phenomena is found and new limits on their parameters are set. First the reaction ... More

Note on a class of anisotropic Einstein metricsJun 24 2011A class of anisotropic Einstein metrics is presented. These metrics are axial symmetric and contains an anisotropy parameter $\alpha$, which is identified as the amplitude of the proper acceleration of the origin, thus explaining the ellipsoid shape of ... More

Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes over $\mathbb{F}_q[[t]]$Nov 26 2016We study duality theorems for the relative logarithmic de Rham-Witt sheaves on semi-stable schemes $X$ over a local ring $\mathbb{F}_q[[t]]$, where $\mathbb{F}_q$ is a finite field. As an application, we obtain a new filtration on the maximal abelian ... More

Numerical Implementation of Gauge-Fixed Fourier AccelerationDec 14 2018In hybrid Monte Carlo evolution, by imposing a physical gauge condition, simple Fourier acceleration can be used to generate conjugate momenta and potentially reduce critical slowing down. This modified gauge evolution algorithm does not change the gauge-independent ... More

Irregular Channel Polarization and Its Applications to Static Adversarial Wiretap ChannelDec 01 2018The problem of achieving the secrecy capacity of static adversarial wiretap channel with discrete memoryless channels is studied in this paper. To construct the explicit secure coding scheme, an irregular channel polarization operation is proposed which ... More

Deep Multimodal Learning: An Effective Method for Video ClassificationNov 30 2018Videos have become ubiquitous on the Internet. And video analysis can provide lots of information for detecting and recognizing objects as well as help people understand human actions and interactions with the real world. However, facing data as huge ... More

Quantum Statistical InferenceDec 12 2018In this thesis, I present several results on quantum statistical inference in the following two directions. Firstly, I demonstrate that quantum algorithms can be applied to enhance the computing and training of Gaussian processes (GPs), a powerful model ... More

Topological circuits of inductors and capacitorsOct 09 2018Dec 11 2018Alternating current (ac) circuits can have electromagnetic edge modes protected by symmetries, analogous to topological band insulators or semimetals. How to make such a topological circuit? This paper illustrates a particular design idea by analyzing ... More

Are Children Well-Supported by Their Parents Concerning Online Privacy Risks, and Who Supports the Parents?Sep 28 2018Tablet computers are becoming ubiquitously available at home or school for young children to complement education or entertainment. However, parents of children aged 6-11 often believe that children are too young to face or comprehend online privacy issues, ... More

Measurements of the chiral magnetic effect with background isolation in 200 GeV Au+Au collisions at STARJul 26 2018Using two novel methods, pair invariant mass ($m_{inv}$) and comparative measurements with respect to reaction plane ($\Psi_{\rm RP}$) and participant plane ($\Psi_{\rm PP}$), we isolate the possible chiral magnetic effect (CME) from backgrounds in 200 ... More

Optimizations with Intelligent Reflecting Surfaces (IRSs) in 6G Wireless Networks: Power Control, Quality of Service, Max-Min Fair Beamforming for Unicast, Broadcast, and Multicast with Multi-antenna Mobile Users and Multiple IRSsAug 11 2019Aug 13 2019Intelligent reflecting surfaces (IRSs) have received much attention recently and are envisioned to promote 6G communication networks. In this paper, for wireless communications aided by IRS units, we formulate optimization problems for power control under ... More

On $L_p$ Affine Surface Area and Curvature MeasuresSep 18 2015The relationship between $L_p$ affine surface area and curvature measures is investigated. As a result, a new representation of the existing notion of $L_p$ affine surface area depending only on curvature measures is derived. Direct proofs of the equivalence ... More

Left-App rings of skew generalized power seriesMay 14 2010A ring $R$ is called a left APP-ring if the left annihilator $l_{R}(Ra)$ is right $s$-unital as an ideal of $R$ for any $a\in R$. Let $R$ be a ring, $(S,\leq)$ a strictly ordered monoid and $\omega:S\longrightarrow {\rm End}(R)$ a monoid homomorphism. ... More

Degenerating abelian varieties via log abelian varietiesDec 17 2014Dec 04 2015For any split totally degenerate abelian variety over a complete discrete valuation field, we construct a log abelian variety over the discrete valuation ring extending the given abelian variety. This generalises Kato's Tate curve.

Representations of Lie superalgebras in prime characteristic IIIOct 12 2009For a restricted Lie superalgebra g over an algebraically closed field of characteristic p > 2, we generalize the deformation method of Premet and Skryabin to obtain results on the p-power and 2-power divisibility of dimensions of g-modules. In particular, ... More

The Radical of the Kernel of a Certain Differential Operator and Applications to Locally Algebraic DerivationsJan 22 2017Let $R$ be a commutative ring, $\mathcal A$ an $R$-algebra (not necessary commutative) and $V$ an $R$-subspace or $R$-submodule of $\mathcal A$. By the radical of $V$ we mean the set of all elements $a\in \mathcal A$ such that $a^m\in V$ for all $m\gg ... More

Renormalization of Multiple $q$-Zeta ValuesDec 04 2006May 26 2007In this paper we shall define the renormalization of the multiple $q$-zeta values (M$q$ZV) which are special values of multiple $q$-zeta functions $\zeta_q(s_1,...,s_d)$ when the arguments are all positive integers or all non-positive integers. This generalizes ... More

Multiple Harmonic Series I: Generalizations of Wolstenholme's TheoremJan 22 2003Feb 15 2006In this paper we will study the p-divisibility of partial sums of multiple zeta value series. In particular we provide some generalizations of the classical Wolstenholme's Theorem.

A super Frobenius formula for the characters of cyclotomic Hecke algebrasSep 05 2018Sep 21 2018We prove a super Frobenius formula for the characters of the cyclotomic Hecke algebras by applying the super Schur-Weyl reciprocity between the quantum superalgebras and cyclotomic Hecke algebras, which is a super analogue of the Frobenius formula in ... More

Constraint on the early Universe by relic gravitational waves: From pulsar timing observationsMar 21 2011May 06 2011Recent pulsar timing observations by the Parkers Pulsar Timing Array and European Pulsar Timing Array teams obtained the constraint on the relic gravitational waves at the frequency $f_*=1/{\rm yr}$, which provides the opportunity to constrain $H_*$, ... More

Attractor Solution in Coupled Yang-Mills Field Dark Energy ModelsOct 30 2008Sep 09 2009We investigate the attractor solution in the coupled Yang-Mills field dark energy models with the general interaction term, and obtain the constraint equations for the interaction if the attractor solution exists. The research also shows that, if the ... More

Improved calculation of relic gravitational wavesDec 07 2006May 29 2010In this paper, we improve the calculation of the relic gravitational waves (RGW) in two aspects: First, we investigate the transfer function after considering the redshift-suppression effect, the accelerating expansion effect, the damping effect of free-streaming ... More

Deformations and Inversion Formulas For Formal Automorphisms in Noncommutative VariablesSep 06 2005Mar 15 2007Let $z=(z_1, z_2, ..., z_n)$ be noncommutative free variables and $t$ a formal parameter which commutes with $z$. Let $k$ be any unital integral domain of any characteristic and $F_t(z)=z-H_t(z)$ with $H_t(z)\in {k[[t]]< < z >>}^{\times n}$ and the order ... More

An Exact Solution to O(26) Sigma Model coupled to 2-D GravityJan 10 1994By a mapping to the bosonic string theory, we present an exact solution to the O(26) sigma model coupled to 2-D quantum gravity. In particular, we obtain the exact gravitational dressing to the various matter operators classified by the irreducible representations ... More

The LFED and LNED Conjectures for Laurent Polynomial AlgebrasJan 21 2017Let $R$ be an integral domain of characteristic zero, $x=(x_1, x_2, ..., x_n)$ $n$ commutative free variables, and ${\mathcal A}_n:=R[x^{-1}, x]$, i.e., the Laurent polynomial algebra in $x$ over $R$. In this paper we first classify all locally finite ... More

The LNED and LFED Conjectures for Algebraic AlgebrasJan 21 2017Let $K$ be a field of characteristic zero and $\mathcal A$ a $K$-algebra such that all the $K$-subalgebras generated by finitely many elements of $\mathcal A$ are finite dimensional over $K$. A $K$-$\mathcal E$-derivation of $\mathcal A$ is a $K$-linear ... More

Images of Ideals under Derivations and $\mathcal E$-Derivations of Univariate Polynomial Algebras over a Field of Characteristic ZeroJan 22 2017Let $K$ be a field of characteristic zero and $x$ a free variable. A $K$-$\mathcal E$-derivation of $K[x]$ is a $K$-linear map of the form $\operatorname{I}-\phi$ for some $K$-algebra endomorphism $\phi$ of $K[x]$, where $\operatorname{I}$ denotes the ... More

Perturbations of the Yang-Mills field in the universeJul 30 2005Jul 15 2009It has been suggested that the Yang-Mills (YM) field can be a kind of candidate for the inflationary field at high energy scales or the dark energy at very low energy scales, which can naturally give the equation of state $-1<\omega<0$ or $\omega<-1$. ... More

Hardy inequalities with best constants on Finsler metric measure manifoldsJun 16 2019Jul 07 2019The paper is devoted to weighted $L^p$-Hardy inequalities with best constants on Finsler metric measure manifolds. There are two major ingredients. The first, which is the main part of this paper, is the Hardy inequalities concerned with distance functions ... More

Local Indecomposability of Hilbert Modular Galois RepresentationsApr 18 2012We prove the indecomposability of Galois representation restricted to the p-decomposition group attached to a non CM nearly p-ordinary weight two Hilbert modular form under mild conditions.

Network Analysis of Urban Traffic with Big Bus DataJun 21 2016Urban traffic analysis is crucial for traffic forecasting systems, urban planning and, more recently, various mobile and network applications. In this paper, we analyse urban traffic with network and statistical methods. Our analysis is based on one big ... More

Inversion Problem, Legendre Transform and Inviscid Burgers' EquationsMar 01 2004Sep 27 2004Let $F(z)=z-H(z)$ with order $o(H(z))\geq 1$ be a formal map from $\bC^n$ to $\bC^n$ and $G(z)$ the formal inverse map of $F(z)$. We first study the deformation $F_t(z)=z-tH(z)$ of $F(z)$ and its formal inverse $G_t(z)=z+tN_t(z)$. (Note that $G_{t=1}(z)=G(z)$ ... More

Exponential Formulas for the Jacobians and Jacobian Matrices of Analytic MapsSep 23 2002Let $F=(F_1, F_2, ... F_n)$ be an $n$-tuple of formal power series in $n$ variables of the form $F(z)=z+ O(|z|^2)$. It is known that there exists a unique formal differential operator $A=\sum_{i=1}^n a_i(z)\frac {\p}{\p z_i}$ such that $F(z)=exp (A)z$ ... More

Some Reductions on Jacobian Problem in Two VariablesSep 19 2002Let $f=(f_1, f_2)$ be a regular sequence of affine curves in $\bC^2$. Under some reduction conditions achieved by composing with some polynomial automorphisms of $\bC^2$, we show that the intersection number of curves $(f_i)$ in $\bC^2$ equals to the ... More

Graded Morita equivalence of Clifford superalgebrasOct 08 2011Apr 19 2012This note uses a variation of graded Morita theory for finite dimensional superalgebras to determine explicitly the graded basic superalgebras for all real and complex Clifford superalgebras. As an application, the Grothendieck groups of the category ... More

Charmonium in Hot MediumMar 12 2012We investigate charmonium production in the hot medium created by heavy-ion collisions by setting up a framework in which in-medium charmonium properties are constrained by thermal lattice QCD (lQCD) and subsequently implemented into kinetic approaches. ... More

An Improvement of a Large Sieve Inequality in High DimensionsDec 13 2005In this paper, we present an improvement of a large sieve type inequality in high dimensions and discuss its implications on a related problem.

Large Sieve Inequalities for Special Characters to Prime Square ModuliAug 07 2005In this paper, we develop a large sieve type inequality for some special characters whose moduli are squares of primes. Our result gives non-trivial estimate in certain ranges.

Recent advances on Dirac-type problems for hypergraphsAug 25 2015A fundamental question in graph theory is to establish conditions that ensure a graph contains certain spanning subgraphs. Two well-known examples are Tutte's theorem on perfect matchings and Dirac's theorem on Hamilton cycles. Generalizations of Dirac's ... More

A Noncommutative Symmetric System over the Grossman-Larson Hopf Algebra of Labeled Rooted TreesSep 07 2005Oct 28 2007In this paper, we construct explicitly a noncommutative symmetric (${\mathcal N}$CS) system over the Grossman-Larson Hopf algebra of labeled rooted trees. By the universal property of the ${\mathcal N}$CS system formed by the generating functions of certain ... More

NCS Systems over Differential Operator Algebras and the Grossman-Larson Hopf Algebras of Labeled Rooted TreesSep 07 2005Sep 09 2005Let $K$ be any unital commutative $\bQ$-algebra and $W$ any non-empty subset of $\bN^+$. Let $z=(z_1, ..., z_n)$ be commutative or noncommutative free variables and $t$ a formal central parameter. % Denote uniformly by $\kzz$ and $\kttzz$ the formal power ... More

A new $Z$-eigenvalue inclusion theorem for tensorsMay 15 2017A new $Z$-eigenvalue inclusion theorem for tensors is given and proved to be tighter than those in [G. Wang, G.L. Zhou, L. Caccetta, $Z$-eigenvalue inclusion theorems for tensors, Discrete and Continuous Dynamical Systems Series B,22(1) (2017) 187--198]. ... More

Extending finite subgroup schemes of semi-stable abelian varieties via log abelian varietiesSep 03 2019For a semi-stable abelian variety A_K over a complete discrete valuation field K, we show that every finite subgroup scheme of A_K extends to a log finite flat group scheme over the valuation ring of K endowed with the canonical log structure. To achieve ... More

Side Window FilteringMay 17 2019Local windows are routinely used in computer vision and almost without exception the center of the window is aligned with the pixels being processed. We show that this conventional wisdom is not universally applicable. When a pixel is on an edge, placing ... More

Mixed tensor susceptibility of the QCD vacuum from effective quark-quark interactionsSep 09 2004We calculate the mixed tensor susceptibility of QCD vacuum in the framework of the global color symmetry model. In our calculation, the functional integration over gluon fields can be performed and the gluonic vacuum observable can be expressed in terms ... More

Generalized Pontryagin Maximum Principle in port-Hamiltonian Systems and ApplicationNov 18 2015Dec 31 2015Based on Pontryagin Maximum Principle (PMP), this paper establishes a generalized PMP aiming at control system with with extra input/output terms. The paper details the adaptive target and gives a proof of the generalized theorem. Transformation and application ... More

RSP-Based Analysis for Sparsest and Least $\ell_1$-Norm Solutions to Underdetermined Linear SystemsJul 17 2013Recently, the worse-case analysis, probabilistic analysis and empirical justification have been employed to address the fundamental question: When does $\ell_1$-minimization find the sparsest solution to an underdetermined linear system? In this paper, ... More

An arithmetic transference proof of a relative Szemerédi theoremJul 18 2013Oct 30 2013Recently Conlon, Fox, and the author gave a new proof of a relative Szemer\'edi theorem, which was the main novel ingredient in the proof of the celebrated Green-Tao theorem that the primes contain arbitrarily long arithmetic progressions. Roughly speaking, ... More

Puzzles in charmonium decaysDec 13 2010The open charm effects via intermediate hadron loop transitions seem to play a crucial role in the understanding of several existing "puzzles" in charmonium exclusive decays, such as the $\psi(3770)$ non-$D\bar{D}$ decays, and "$\rho\pi$ puzzle" etc. ... More