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Electronic structure properties in the nematic phases of FeSeOct 14 2015We investigate the electronic structures of FeSe in the presence of different possible orders. We find that only ferro-orbital order (FO) and collinear antiferro-magnetism (C-AFM) can simultaneously induce splittings at $\Gamma$ and M. Bicollinear antiferro-magnetism ... More

Mechanism for Odd Parity Superconductivity in Iron-Based SuperconductorsMar 11 2013Mar 15 2013Under the assumption that superconducting pairing is driven by local d-p hybridization, we show that the superconducting state in iron-based superconductors is classified as an odd parity s-wave spin-singlet pairing state in a single trilayer FeAs/Se, ... More

Distinct surface and bulk charge density waves in ultrathin 1T-TaS2Mar 07 2016Nov 14 2016We employ low-frequency Raman spectroscopy to study the nearly commensurate (NC) to commensurate (C) charge density wave (CDW) transition in 1T-TaS2 ultrathin flakes protected from oxidation. We identify new modes originating from C phase CDW phonons ... More

Correlation between non-centrosymmetry and superconductivity in quasi-one-dimensional compounds A2Cr3As3 (A=K, Rb)Mar 05 2016Nov 07 2016Non-centrosymmetric superconductors, whose crystal structure is absent of inversion symmetry, have recently received special attentions due to the expectation of unconventional pairings and exotic physics associated with such pairings. The newly discovered ... More

Loop Current and Orbital Magnetism in Pyrite-Type $Ir_{3}Ch_{8}$ ($Ch=Se,Te$)Aug 21 2013Aug 23 2013We study the parent compound of the pyrite-type $Ir_{x}Ch_{2}$ iridium chalcogenide superconductors, $Ir_{0.75}Ch_{2}$ (or $Ir_{3}Ch_{8}$). While the lattice structure of the material is rather complicated, we show that the electron physics near the Fermi ... More

Pairing Symmetry in Layered BiS$_2$ Compounds Driven by Electron-Electron CorrelationNov 23 2012Apr 17 2014We investigate the pairing symmetry of layered BiS$_2$ compounds by assuming that electron-electron correlation is still important so that the pairing is rather short range. We find that the extended s-wave pairing symmetry always wins over d-wave when ... More

Triplet $p_z$-wave pairing in quasi one dimensional A$_2$Cr$_3$As$_3$ superconductorsMar 23 2015Sep 19 2015We construct minimum effective models to investigate the pairing symmetry in the newly discovered quasi-one-dimensional superconductor K$_2$Cr$_3$As$_3$. We show that a minimum three-band model based on the $d_{z^2}$, $d_{xy}$ and $d_{x^2-y^2}$ orbitals ... More

Nematic orders and nematicity-driven topological phase transition in FeSeMar 07 2016We investigate nematic states in both bulk FeSe and FeSe thin films. It is found that their band structures and signature features that were observed in a variety of experiments can be perfectly explained by introducing the $d$-wave nematic orders that ... More

$g$-wave Pairing in BiS$_2$ SuperconductorsMar 24 2014Nov 03 2014Recent angle resolved photoemission spectroscopy(ARPES) experiments have suggested that BiS$_2$ based superconductors are at very low electron doping. Using random phase approximation(RPA) and functional renormalization group(FRG) methods, we find that ... More

Bell inequality of frequency-bin entangled photon pairs with time-resolved detectionSep 08 2016Entanglement, describing the inseparability of a quantum multiparty system, is one of the most intriguing features of quantum mechanics. Violation of Bell inequality, for ruling out the possibility of local hidden variable theories, is commonly used as ... More

Hybrid Crystals of Cuprates and Iron-Based SuperconductorsJan 13 2016We propose two possible new compounds, Ba$_2$CuO$_2$Fe$_2$As$_2$ and K$_2$CuO$_2$Fe$_2$Se$_2$, which hybridize the building blocks of two high temperature superconductors, cuprates and iron-based superconductors. These compounds consist of square CuO$_2$ ... More

Topological Characters in Fe(Te$_{1-x}$Se$_x$) thin filmsDec 10 2014We investigate topological properties in the Fe(Te,Se) thin films. We find that the single layer FeTe$_{1-x}$Se$_x$ has nontrivial $Z_2$ topological invariance which originates from the parity exchange at $\Gamma$ point of Brillouin zone. The nontrivial ... More

Magnetism in Quasi-One-Dimensional A$_2$Cr$_3$As$_3$ (A=K,Rb) superconductorsJan 02 2015Apr 21 2015We predict that the recently discovered quasi-one dimensional superconductors, A$_2$Cr$_3$As$_3$(A=K,Rb), possess strong frustrated magnetic fluctuations and are nearby a novel in-out co-planar magnetic ground state. The frustrated magnetism is very sensitive ... More

Experimental consequences of $p_z$-wave spin triplet superconductivity in A$_2$Cr$_3$As$_3$Jul 27 2015Aug 03 2015The experimental observable properties of the triplet $p_z$-wave pairing state, proposed by Wu {\em et al.} [arXiv:1503.06707] in quasi-one dimensional A$_2$Cr$_3$As$_3$ materials, are theoretically investigated. This pairing state is characterized by ... More

Magnetic ordering and multiferroicity in MnI$_2$Feb 09 2012Nov 24 2012Density-functional calculations are carried out to investigate incommensurate magnetic structures and ferroelectric polarization in newly discovered multiferroic material MnI$_2$. The exchange interactions among local moments on Mn are parameterized by ... More

Staggered FeSe Monolayer on SrTiO$_3$ (110) surfaceJan 15 2016We investigate the electronic and magnetic properties of FeSe monolayer on the anisotropic SrTiO$_3$ (110) surface. With compressive strain along $[1\bar{1}0]$ direction from the substrate, the monolayer FeSe possesses a staggered bipartite iron lattice ... More

Topological phase in non-centrosymmetric material NaSnBiNov 05 2016We predict that a non-centrosymmetric material NaSnBi locates in a three-dimensional non-trivial topological phase under ambient pressure based on first-principle calculations. By deriving the effective model around $\Gamma$ point, we find that the topological ... More

Revisitation of superconductivity in K$_2$Cr$_3$As$_3$ based on the six-band modelDec 01 2015We investigate the pairing symmetry of the newly synthesized quasi-one-dimension K$_2$Cr$_3$As$_3$ superconductor based on the six-band model. We adopt standard random-phase-approximation to study the Hubbard-Hund model of the system. Our results confirm ... More

Three-dimensional Critical Dirac semimetal in KMgBiJun 16 2016We predicted that AMgBi (A=K,Rb Cs), which have the same lattice structures as the 111 family of iron-based superconductors (Na/LiFeAs), are symmetry-protected Dirac semimetals located near the boundary of type-I and type-II Dirac semimetal phases. Doping ... More

The effect of As-Chain layers in CaFeAs$_2$Feb 19 2014The new discovered iron-based superconductors have chain-like As layers. These layers generate an additional 3-dimensional hole pocket and cone-like electron pockets. The former is attributed to the Ca $d$ and As1 $p_z$ orbitals and the latter are attributed ... More

CaFeAs$_2$: a Staggered Intercalation of Quantum Spin Hall and High Temperature SuperconductivityMay 25 2014Mar 03 2015We predict that CaFeAs$_2$, a newly discovered iron-based high temperature (T$_c$) superconductor, is a staggered intercalation compound that integrates topological quantum spin hall (QSH) and superconductivity (SC). CaFeAs$_2$ has a structure with staggered ... More

Visualizing Band Offsets and Edge States in Bilayer-Monolayer Transition Metal Dichalcogenides Lateral HeterojunctionDec 05 2015Semiconductor heterostructures are fundamental building blocks for many important device applications. The emergence of two-dimensional semiconductors opens up a new realm for creating heterostructures. As the bandgaps of transition metal dichalcogenides ... More

Orbital Origin of Extremely Anisotropic Superconducting Gap in Nematic Phase of FeSe SuperconductorFeb 08 2018The iron-based superconductors are characterized by multiple-orbital physics where all the five Fe 3$d$ orbitals get involved. The multiple-orbital nature gives rise to various novel phenomena like orbital-selective Mott transition, nematicity and orbital ... More

Dense network of one-dimensional mid-gap metallic modes in monolayer MoSe2 and their spatial undulationsJul 22 2014We report the observation of a dense triangular network of one-dimensional (1D) metallic modes in a continuous and uniform monolayer of MoSe2 grown by molecular-beam epitaxy. High-resolution transmission electron microscopy and scanning tunneling microscopy ... More

Distinct surface and bulk charge density waves in ultrathin 1T-TaS2Mar 07 2016We employ low-frequency Raman spectroscopy to study the nearly commensurate (NC) to commensurate (C) charge density wave (CDW) transition in 1T-TaS2 ultrathin flakes protected from oxidation. We identify new modes that originate from C phase CDW phonons ... More

Positive correlation between non-centrosymmetry and superconductivity in quasi-one-dimensional compounds A2Cr3As3 (A=K, Rb)Mar 05 2016Non-centrosymmetric superconductors, whose crystal structure is absent of inversion symmetry, have recently received special research attentions due to the expectation of unconventional pairings and exotic physics associated with such pairings. However, ... More

Bell inequality of frequency-bin entangled photon pairs with time-resolved detectionSep 08 2016Oct 12 2016Entanglement, describing the inseparability of a quantum multiparty system, is one of the most intriguing features of quantum mechanics. Violation of Bell inequality, for ruling out the possibility of local hidden variable theories, is commonly used as ... More

Designing optimal quantum cloning machine for qubit systemApr 29 2010Following the work of Niu and Griffiths, in \emph{Phys.Rev.A 58, 4377(1998)}, we shall investigate the problem, how to design the optimal quantum cloning machines (QCMs) for qubit system, with the help of Bloch-sphere representation. In stead of the quality ... More

Modelling Data Dispersion Degree in Automatic Robust Estimation for Multivariate Gaussian Mixture Models with an Application to Noisy Speech ProcessingMay 19 2014The trimming scheme with a prefixed cutoff portion is known as a method of improving the robustness of statistical models such as multivariate Gaussian mixture models (MG- MMs) in small scale tests by alleviating the impacts of outliers. However, when ... More

Quantum Criticality of the Two-dimensional Bose Gas with the Lifshitz dispersionSep 14 2015Bosonic systems with the synthetic spin-orbit coupling and Zeeman field can be tuned into a quantum Lifshitz point exhibiting the $q^4$-dispersion. They are fundamentally different from the conventional ones with the $q^2$-dispersion, and are also connected ... More

Response of initial field to stiffness perturbationMar 18 2014Mar 19 2014Response of initial elastic field to stiffness perturbation and its possible application is investigated. Virtual thermal softening is used to produce the stiffness reduction for demonstration. It is interpreted that the redistribution of the initial ... More

On Solutions of Three Quasi-Geostrophic ModelsDec 10 2000Dec 12 2000We consider the 2D quasi-geostrophic model and its two different regularizations. Global regularity results are established for the regularized models with subcritical or critical indices. The proof of Onsager's conjecture concerning weak solutions of ... More

The selforganization phenomenon in Rayleigh-Benard convection: a hydrodynamics analysisNov 19 2010The evolution of three-dimensional, cellular convective flows in a plane horizontal layer of a Boussinesq fluid heated from below is well studied. Here we review results from the investigation of this system as well as a number of related and novel numerical ... More

Efficient algortihms for the two dimensional Ising model with a surface fieldApr 18 2014Bond propagation and site propagation algorithm are extended to the two dimensional Ising model with a surface field. With these algorithms we can calculate the free energy, internal energy, specific heat, magnetization, correlation function, surface ... More

Equilibrium Value Method for the Proof of QIP=PSPACEApr 02 2010Mar 12 2011We provide an alternative proof of \class{QIP}=\class{PSPACE} to the recent breakthrough result. Unlike solving some semidefinite programs that captures the computational power of quantum interactive proofs, our method starts with one \class{QIP}-Complete ... More

Electron-elastic-wave interaction in a two-dimensional topological insulatorDec 11 2015The interaction between an electron and an elastic wave is investigated for HgTe and InAs-GaSb quantum wells. The well-known Bernevig-Hughes-Zhang model, i.e., the $4\times 4$ model for a two-dimensional (2D) topological insulator (TI), is extended to ... More

Notes on holographic Schwinger effectJul 12 2015Aug 25 2015We use the method of evaluating the decay rate in terms of the imaginary part of a probe brane action to study the holographic Schwinger effect. In the confining D3-branes case, we find that the Schwinger effect occurs at energy scales higher than the ... More

Gravitational Shielding Effects in Gauge Theory of GravityJul 23 2003In 1992, E.E.Podkletnov and R.Nieminen find that, under certain conditions, ceramic superconductor with composite structure has revealed weak shielding properties against gravitational force. In classical Newton's theory of gravity and even in Einstein's ... More

A New Electroweak Model Without Higgs BosonFeb 04 1998Jul 02 1998In this paper, we try to construct an electroweak model which avoids using Higgs mechanism. We simultaneously introduce two sets of gauge bosons so as to keep the masses of gauge bosons $W^{\pm}$ and $Z$ non-zero without using Higgs mechanism. In order ... More

Renormalizable Quantum Gauge General RelativitySep 08 2003The quantum gauge general relativity is proposed in the framework of quantum gauge theory of gravity. It is formulated based on gauge principle which states that the correct symmetry for gravitational interactions should be gravitational gauge symmetry. ... More

Unification of Non-Abelian SU(N) Gauge Theory and Gravitational Gauge TheoryFeb 03 2003In this paper, a general theory on unification of non-Abelian SU(N) gauge interactions and gravitational gauge interactions is discussed. SU(N) gauge interactions and gravitational gauge interactions are formulated on the similar basis and are unified ... More

Equivariant Holomorphic Morse Inequalities II: Torus and Non-Abelian Group ActionsFeb 15 1996Jun 22 1998We extend the equivariant holomorphic Morse inequalities of circle actions to cases with torus and non-Abelian group actions on holomorphic vector bundles over Kahler manifolds and show the necessity of the Kahler condition. For torus actions, there is ... More

Convergences and the Intermediate Value Property in Fermat RealsMar 30 2016This paper contains two topics of Fermat reals, as suggested by the title. In the first part, we study the \omega-topology, the order topology and the Euclidean topology on Fermat reals, and their convergence properties, with emphasis on the relationship ... More

Blow-up criterion of classical solutions for the incompressible nematic liquid crystal flowsOct 15 2012Jun 08 2016In this paper, we consider the short time classical solution to a simplified hydrodynamic flow modeling incompressible, nematic liquid crystal materials in dimension three. We establish a criterion for possible breakdown of such solutions at a finite ... More

Farrell-Jones Conjecture for fundamental groups of graphs of virtually cyclic groupsNov 06 2015Feb 22 2016In this note, we prove the K- and L-theoretic Farrell-Jones Conjecture with coefficients in an additive category for fundamental groups of graphs of virtually cyclic groups.

Higher rank rigidity for Berwald spacesOct 15 2015Oct 16 2015We generalize the higher rank rigidity theorem to a class of Finsler spaces, i.e. Berwald spaces. More precisely, we prove that a complete connected reversible Berwald space of finite volume and bounded nonpositive flag curvature with rank at least 2 ... More

On non-dense orbits of certain non-algebraic dynamical systemsJul 29 2015Dec 27 2015In this paper, we manage to apply Schmidt games to certain non-algebraic dynamical systems. More precisely, we show that the set of points with non-dense forward orbit under a $C^2$-Anosov diffeomorphism with conformality on unstable manifolds is a winning ... More

Electronic structure and magnetic properties of $\mathrm{CaCr}\mathrm{O}_3$: The interplay between spin- and orbital-orderingsJan 01 2015May 11 2015The electronic structure and magnetic properties of CaCr$\mathrm{O}_3$ have been calculated by two methods, including hybrid-exchange density-function theory and density-functional theory + $U$. The computed densities of states from both of these methods ... More

On the ergodicity of geodesic flows on surfaces of nonpositive curvatureSep 25 2013Mar 31 2015Let $M$ be a smooth compact surface of nonpositive curvature, with genus $\geq 2$. We prove the ergodicity of the geodesic flow on the unit tangent bundle of $M$ with respect to the Liouville measure under the condition that the set of points with negative ... More

Non-Commutative Metrics on Matrix State SpacesNov 22 2004Mar 28 2005We use the theory of quantization to introduce non-commutative versions of metric on state space and Lipschitz seminorm. We show that a lower semicontinuous matrix Lipschitz seminorm is determined by their matrix metrics on the matrix state spaces. A ... More

A Scheme to Classify Topological Property of Band Insulator Based On One-band U(1) Chern NumberFeb 28 2011Topological insulator(TI) is a phase of matter discovered recently. Kane and Mele proposed this phase is distinguished from the ordinary band insulator by a Z2 topological invariant.2 Several authors have try to related this Z2 invariant to Chern numbers. ... More

On regular configurations and disjoint cycles in shift graphsSep 30 2007Configurations are necklaces with prescribed numbers of red and black beads. Among all possible configurations, the regular one plays an important role in many applications. In this paper, several aspects of regular configurations are discussed, including ... More

Simplified Khovanov-Rozansky Chain Complexes of Open 2-braidsNov 15 2011Jun 25 2012Motivated by the works of Krasner [arXiv:0801.4018] and Lobb [arXiv:1103.1412], we simplify the Khovanov-Rozansky chain complexes of open 2-braids. As an application, we show that, for a knot containing a "long" 2-braid, the sl(N) Rasmussen invariant ... More

Long-time Behavior for Nonlinear Hydrodynamic System Modeling the Nematic Liquid Crystal FlowsApr 02 2009We study a simplified system of the original Ericksen--Leslie equations for the flow of nematic liquid crystals. This is a coupled non-parabolic dissipative dynamic system. We show the convergence of global classical solutions to single steady states ... More

Additivity of Jordan Elementary Maps on RingsJun 04 2007Jun 07 2007We prove that Jordan elementary surjective maps on rings are automatically additive.

Radiative energy loss and radiative p_T-broadening of high-energy partons in QCD matterSep 24 2015I give a self-contained review on radiative p_T-broadening and radiative energy loss of high-energy partons in QCD matter. The typical p_T^2 of high-energy partons receives a double logarithmic correction due to the recoiling effect of medium-induced ... More

The compositional inverses of linearized permutation binomials over finite fieldsNov 09 2013Let $q$ be a prime power and $n$ and $r$ be positive integers. It is well known that the linearized binomial $L_r(x)=x^{q^r}+ax\in\mathbb{F}_{q^n}[x]$ is a permutation polynomial if and only if $(-1)^{n/d}a^{{(q^n-1)}/{(q^{d}-1)}}\neq 1$ where $d=(n,r)$. ... More

The compositional inverse of a class of linearized permutation polynomials over $\mathbb{F}_{2^n}$, $n$ oddMay 07 2013Jul 01 2013In this paper, the compositional inverses of a class of linearized permutation polynomials of the form $P(x)=x+x^2+\tr(\frac{x}{a})$ over the finite field $\mathbb{F}_{2^n}$ for an odd positive integer $n$ are explicitly determined.

Interacting Agent Feedback Finance ModelMar 28 2007We consider a financial market model which consists of a financial asset and a large number of interacting agents classified into many types. Different types of agents are heterogeneous in their price expectations. Each agent can change its type based ... More

Multiagent models in time-varying and random environmentAug 14 2006In this paper we study multiagent models with time-varying type change. Assume that there exist a closed system of $N$ agents classified into $r$ types according to their states of an internal system; each agent changes its type by an internal dynamics ... More

Angular Momentum Generation from Holographic Chern-Simons ModelsNov 25 2013Dec 22 2014We study parity-violating effects, particularly the generation of angular momentum density and its relation to the parity-odd and dissipationless transport coefficient Hall viscosity, in strongly-coupled quantum fluid systems in 2+1 dimensions using holographic ... More

Unconventional Bose-Einstein Condensations Beyond the "No-node" TheoremJan 11 2009Jun 11 2009Feynman's "no-node" theorem states that the conventional many-body ground-state wavefunctions of bosons in the coordinate representation is positive-definite. This implies that time-reversal symmetry cannot be spontaneously broken. In this article, we ... More

The relative cohomology of abelian covers of the flat pillowcaseFeb 26 2014Nov 02 2014We calculate the action of the group of affine diffeomorphisms on the relative cohomology of square-tiled surfaces that are normal abelian covers of the flat pillowcase, and as an application, answer a question raised by Smillie and Weiss.

Scalar field quasinormal frequencies of Reissner-Nordström black hole surrounded by quintessence by using he continued fraction methodMay 27 2016Nov 12 2016We evaluate the quasinormal modes of massless scalar field around Reissner-Nordstr$\ddot{\text{o}}$m black hole surrounded by a static and spherically symmetric quintessence by using the continued fraction method. The appropriate Frobenius series for ... More

Competing orders in one dimensional spin 3/2 fermionic systemsSep 09 2004Nov 09 2005Novel competing orders are found in spin 3/2 cold atomic systems in one-dimensional optical traps and lattices. In particular, the quartetting phase, a four-fermion counterpart of Cooper pairing, exists in a large portion of the phase diagram. The transition ... More

Boundary Arm Exponents for SLENov 27 2015Jul 19 2016We derive boundary arm exponents and interior arm exponents for SLE$(\kappa)$. Combining with the possible convergence of critical lattice models to SLE, these exponents would give the corresponding alternating half-plane arm exponents and alternating ... More

Maximum Margin Clustering for State Decomposition of Metastable SystemsDec 31 2014When studying a metastable dynamical system, a prime concern is how to decompose the phase space into a set of metastable states. Unfortunately, the metastable state decomposition based on simulation or experimental data is still a challenge. The most ... More

Optimal stopping under g_ΓexpectationMay 11 2011In this paper, we solve the existence problem of optimal stopping problem under some kind of nonlinear expectation named g_\Gamma expectation which was recently introduced in Peng, S.G. and Xu, M.Y. [8]. Our method based on our preceding work on the continuous ... More

A Family of Transverse Link HomologiesAug 14 2013Apr 07 2014We define a homology $\mathcal{H}_N$ for closed braids by applying Khovanov and Rozansky's matrix factorization construction with potential $ax^{N+1}$. Up to a grading shift, $\mathcal{H}_0$ is the HOMFLYPT homology defined in arXiv:math/0505056. We demonstrate ... More

On the justification of applying quantum strategies to the Prisoners' Dilemma and mechanism designJul 08 2010The Prisoners' Dilemma is perhaps the most famous model in the field of game theory. Consequently, it is natural to investigate its quantum version when one considers to apply quantum strategies to game theory. There are two main results in this paper: ... More

On amending the Maskin's sufficiency theorem by using complex numbersApr 29 2010Apr 17 2012The Maskin's theorem is a fundamental work in the theory of mechanism design. In this paper, we will propose a self-enforcing agreement by which agents can fight a bad social choice rule which satisfies monotonicity and no-veto if an additional condition ... More

Equivariant colored sl(N)-homology for linksFeb 15 2010Feb 28 2011We construct an equivariant colored sl(N)-homology for links, which generalizes both the colored sl(N)-homology defined by the author and the equivariant sl(N)-homology defined by Krasner. The construction is a straightforward generalization of that of ... More

Electronic structure study of double perovskites $A_{2}$FeReO$_{6}$ (A=Ba,Sr,Ca) and Sr$_{2}M$MoO$_{6}$ (M=Cr,Mn,Fe,Co) by LSDA and LSDA+UJul 23 2001We have implemented a systematic LSDA and LSDA+U study of the double perovskites $A_{2}$FeReO$_{6}$ (A=Ba,Sr,Ca) and Sr$_{2}$$M$MoO$_{6}$ (M=Cr,Mn,Fe,Co) for understanding of their intriguing electronic and magnetic properties. The results suggest a ferrimagnetic ... More

A Note on Spectral Analysis for ${\rm GL}_2$: IIOct 02 2016Oct 17 2016We generalize Zagier's work on regularized integral to the adelic setting and to smooth Eisenstein series, guided by a spectral analytic viewpoint. We prove a singular case of the triple product formula for non rapidly decreasing functions constructed ... More

The Functor $A^{\min}$ for $(p-1)$-cell Complexes and $\EHP$ SequencesFeb 04 2010Let $X$ be a co-$H$-space of $(p-1)$-cell complex with all cells in even dimensions. Then the loop space $\Omega X$ admits a retract $\bar A^{\min}(X)$ that is the evaluation of the functor $\bar A^{\min}$ on $X$. In this paper, we determine the homology ... More

Power sums of Hecke's eigenvalues and applicationJun 28 2008We sharpen some estimates of Rankin on power sums of Hecke eigenvalues, by using Kim & Shahidi's recent results on higher order symmetric powers. As an application, we improve Kohnen, Lau & Shparlinski's lower bound for the number of Hecke eigenvalues ... More

The average exponent of elliptic curves modulo $p$Jun 26 2012Let $E$ be an elliptic curve defined over ${\mathbb Q}$. For a prime $p$ of good reduction for $E$, denote by $e_p$ the exponent of the reduction of $E$ modulo $p$. Under GRH, we prove that there is a constant $C_E\in (0, 1)$ such that $$ \frac{1}{\pi(x)} ... More

Regularity Structure, Vorticity Layer and Convergence Rates of Inviscid Limit of Free Surface Navier-Stokes Equations with or without Surface TensionAug 25 2016In this paper, we study the inviscid limit of the free surface incompressible Navier-Stokes equations with or without surface tension. By delicate estimates, we prove the weak boundary layer of the velocity of the free surface Navier-Stokes equations ... More

Non-local correction to the energy-momentum tensor for $φ^{3}$ theory in six dimensionsMay 07 2015Oct 05 2015Applying the background field method, we construct by explicit computation the leading-order non-local quantum correction to the on-shell effective action for $\phi^3$ theory in six dimensions. We then use the resulting action to obtain the non-local ... More

Physical foundation of the mathematical concepts in the nonstandard analysis theory of turbulenceJan 18 2006The physical foundation of the main mathematical concepts in the nonstandard analysis theory of turbulence are presented and discussed. The basic fact is that there does not exist the absolute zero fluid-volume. Therefore, the corresponding physical object ... More

Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearityOct 15 2012Nov 21 2012In this paper, we consider the nonlinear fractional Schr\"odinger equations with Hartree type nonlinearity. We obtain the existence of standing waves by studying the related constrained minimization problems by applying the concentration-compactness principle. ... More

The Cauchy problem for the Pavlov equation with large dataJan 23 2015The Pavlov equation is one of the simplest integrable systems of vector fields arising from various problems of mathematical physics and differential geometry which are intensively studied in recent literature. In this report, solving a nonlinear Riemann-Hilbert ... More

Biologically Inspired Hierarchical Model for Feature Extraction and LocalizationApr 14 2006Feature extraction and matching are among central problems of computer vision. It is inefficent to search features over all locations and scales. Neurophysiological evidence shows that to locate objects in a digital image the human visual system employs ... More

Hydrodynamic Limit with Geometric Correction of Stationary Boltzmann EquationSep 13 2014Oct 16 2015We consider the hydrodynamic limit of a stationary Boltzmann equation in a unit plate with in-flow boundary. We prove the solution can be approximated in $L^{\infty}$ by the sum of interior solution which satisfies steady incompressible Navier-Stokes-Fourier ... More

Local Wellposedness of Viscous Surface Wave without Surface TensionJun 10 2012Dec 06 2014We consider an incompressible viscous flow without surface tension in a finite- depth domain of three dimension, with free top boundary. This system is governed by a Naiver-Stokes equation in a moving domain and a transport equation for the top boundary. ... More

Hermitian u-invariants over function fields of p-adic curvesDec 22 2015Apr 08 2016Let $p$ be an odd prime. Let $F$ be the function field of a $p$-adic curve. Let $A$ be a central simple algebra of period 2 over $F$ with an involution $\sigma$. There are known upper bounds for the $u$-invariant of hermitian forms over $(A, \sigma)$. ... More

On a Critical Case of Rallis Inner Product FormulaMar 14 2016Let $\pi$ be a genuine cuspidal representation of the metaplectic group of rank $n$. We consider the theta lifts to the orthogonal group associated to a quadratic space of dimension $2n+1$. We show a case of regularised Rallis inner product formula that ... More

Single Top Production at the TevatronMay 16 2012We present recent results of single top quark production in the lepton plus jet final state, performed by the CDF and D0 collaborations based on 7.5 and 5.4/fb of ppbar collision data collected at sqrt(s) = 1.96 TeV from the Fermilab Tevatron collider. ... More

Regular path queries on graphs with data: A rigid approachFeb 25 2014Regular path queries (RPQ) is a classical navigational query formalism for graph databases to specify constraints on labeled paths. Recently, RPQs have been extended by Libkin and Vrgo$\rm \check{c}$ to incorporate data value comparisons among different ... More

Shear softening of Earth's inner core indicated by its high Poisson's ratio and elastic anisotropyNov 01 2016Earth's inner core exhibits an unusually high Poisson's ratio and noticeable elastic anisotropy. The mechanisms responsible for these features are critical for understanding the evolution of the Earth but remain unclear. This study indicates that once ... More

A costly Bayesian implementable social choice function may not be truthfully implementableSep 13 2016Oct 12 2016The revelation principle is a fundamental theorem in many economics fields. In this paper, we construct a simple labor model to show that a social choice function which can be implemented costly in Bayesian Nash equilibrium may not be truthfully implementable. ... More

Path Integral Quantization of Quantum Gauge General RelativityDec 16 2008Path integral quantization of quantum gauge general relativity is discussed in this paper. First, we deduce the generating functional of green function with external fields. Based on this generating functional, the propagators of gravitational gauge field ... More

Equation of Motion of a Spinning Test Particle in Gravitational FieldAug 08 2006Based on the coupling between the spin of a particle and gravitoelectromagnetic field, the equation of motion of a spinning test particle in gravitational field is deduced. From this equation of motion, it is found that the motion of a spinning particle ... More

Gauge Model With Massive GravitonsJul 01 2003Gauge theory of gravity is formulated based on principle of local gauge invariance. Because the model has strict local gravitational gauge symmetry, gauge theory of gravity is a perturbatively renormalizable quantum model. However, in the original model, ... More

Gauge Theory of GravitySep 19 2001Oct 30 2001The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field appears as gauge field. The problems on quantization and renormalization of ... More

BES R measurements and $J/ψ$ decaysApr 28 2001R measurement results in 2--5 GeV region by BESII is reported in this talk. The study on $\sigma$ particle in $J/\psi \to \omega \pi^+ \pi^-$, based on $7.8 \times 10^6$ BESI $J/\psi$ data, is also reported.

General Gauge Field Theory And Its ApplicationJul 19 1998A gauge field model, which simultaneously has strict local gauge symmetry and contains massive general gauge bosons, is discussed in this paper. The model has SU(N) gauge symmetry. In order to introduce the mass term of gauge fields directly without violating ... More

An electroweak model without Higgs particleJun 23 1998In this paper, applying general gauge field theory, we will construct an electroweak model. In this new electroweak model, Higgs mechanism is not used, so no Higgs particle exists in the model. In order to keep the masses of intermediate gauge bosons ... More

General Gauge Field TheoryMay 26 1998Jun 03 1998In this paper, we will construct a gauge field model, in which the masses of gauge fields are non-zero and the local gauge symmetry is strictly preserved. A SU(N) gauge field model is discussed in details in this paper. In the limit $\alpha \longrightarrow ... More

A Note on Higher Cohomology Groups of Kähler QuotientsSep 30 1998Consider a holomorphic torus action on a possibly non-compact K\"ahler manifold. We show that the higher cohomology groups appearing in the geometric quantization of the symplectic quotient are isomorphic to the invariant parts of the corresponding cohomology ... More