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Kolmogorov's law of the iterated logarithm for noncommutative martingalesDec 06 2012Jan 20 2014We prove Kolmogorov's law of the iterated logarithm for noncommutative martingales. The commutative case was due to Stout. The key ingredient is an exponential inequality proved recently by Junge and the author.

Existence of two-step replica symmetry breaking for the spherical mixed p-spin glass at zero temperatureFeb 08 2018We provide the first examples of two-step replica symmetry breaking (2-RSB) models for the spherical mixed p-spin glass at zero temperature. Precisely, we show that for a certain class of mixtures, the Parisi measure at zero temperature is purely atomic ... More

Mixed $q$-Gaussian algebrasMay 28 2015We provide a unified approach for constructing Wick words in mixed $q$-Gaussian algebras, which are generated by $s_j=a_j+a_j^*$, $j=1,\cdots,N$, where $a_ia^*_j - q_{ij}a^*_ja_i =\delta_{ij}$. Here we also allow equality in $-1\le q_{ij}=q_{ji}\le 1$. ... More

Noncommutative martingale deviation and Poincaré type inequalities with applicationsNov 14 2012Dec 28 2013We prove a deviation inequality for noncommutative martingales by extending Oliveira's argument for random matrices. By integration we obtain a Burkholder type inequality with satisfactory constant. Using continuous time, we establish noncommutative Poincar\'e ... More

Subgaussian 1-cocycles on discrete groupsNov 20 2013Jun 12 2015We prove the $L_p$ Poincar\'e inequalities with constant $C\sqrt{p}$ for $1$-cocycles on countable discrete groups under Bakry--Emery's $\Gamma_2$-criterion. These inequalities determine an analogue of subgaussian behavior for 1-cocycles. Our theorem ... More

Ground-state phase diagram and critical temperature of two-component Bose gases with Rashba spin-orbit couplingApr 09 2013May 23 2013Ground-state phase diagram of two-component Bose gases with Rashba spin-orbit coupling is determined via a variational approach. A phase in which the fully polarized condensate occupies zero momentum is identified. This zero-momentum phase competes with ... More

Equation of state and phase transition in spin-orbit-coupled Bose gases at finite temperature: A perturbation approachJul 03 2014Nov 13 2014We study two-component Bose gases with Raman induced spin-orbit coupling via a perturbation approach at finite temperature. For weak coupling, free energy is expanded in terms of Raman coupling strength up to the second order, where the coefficient (referred ... More

Spin-Orbit Coupled Fermi Gases across a Feshbach ResonanceMay 11 2011May 28 2011In this letter we study both ground state properties and the superfluid transition temperature of a spin-1/2 Fermi gas across a Feshbach resonance with a synthetic spin-orbit coupling, using mean-field theory and exact solution of two-body problem. We ... More

Harmonic analysis approach to Gromov--Hausdorff convergence for noncommutative toriDec 08 2016We show that the rotation algebras are limit of matrix algebras in a very strong sense of convergence for algebras with additional Lipschitz structure. Our results generalize to higher dimensional noncommutative tori and operator valued coefficients. ... More

Systematic search for low-enthalpy sp3 carbon using evolutionary metadynamicsMar 04 2012May 21 2012We present a systematic search for low-energy metastable superhard carbon allotropes by using the recently developed evolutionary metadynamics technique. It is known that cold compression of graphite produces an allotrope at 15-20 GPa. Here we look for ... More

Poincaré type inequalities for group measure spaces and related transportation cost inequalitiesJun 25 2013Nov 15 2013Let $G$ be a countable discrete group with an orthogonal representation $\alpha$ on a real Hilbert space $H$. We prove $L_p$ Poincar\'e inequalities for the group measure space $L_\infty(\Omega_H,\gamma)\rtimes G$, where both the group action and the ... More

Memory-Efficient Topic ModelingJun 06 2012Jun 08 2012As one of the simplest probabilistic topic modeling techniques, latent Dirichlet allocation (LDA) has found many important applications in text mining, computer vision and computational biology. Recent training algorithms for LDA can be interpreted within ... More

Influence of thermal and resonance neutron on fast neutron flux measurement by Pu-239 fission chamberMar 19 2014The Pu-239 fission chambers are widely used to measure fission spectrum neutron flux due to a flat response to fast neutrons. However, in the mean time the resonance and thermal neutrons can cause a significant influence on the measurement if they are ... More

Properties of Bose Gases with Raman-Induced Spin-Orbit CouplingDec 31 2012In this paper we investigate the properties of Bose gases with Raman-induced spin-orbit(SO) coupling. It is found that the SO coupling can greatly modify the single particle density-of-state, and thus lead to non-monotonic behavior of the condensate depletion, ... More

Hybrid Ant Colony Algorithm Clonal Selection in the Application of the Cloud's Resource SchedulingNov 10 2014In this paper, thinking over characteristics of ant colony optimization Algorithm, taking into account the characteristics of cloud computing, combined with clonal selection algorithm (CSA) global optimum advantage of the convergence of the clonal selection ... More

Residual Belief Propagation for Topic ModelingApr 30 2012Fast convergence speed is a desired property for training latent Dirichlet allocation (LDA), especially in online and parallel topic modeling for massive data sets. This paper presents a novel residual belief propagation (RBP) algorithm to accelerate ... More

A New Approach to Speeding Up Topic ModelingApr 01 2012Apr 08 2014Latent Dirichlet allocation (LDA) is a widely-used probabilistic topic modeling paradigm, and recently finds many applications in computer vision and computational biology. In this paper, we propose a fast and accurate batch algorithm, active belief propagation ... More

Towards Big Topic ModelingNov 17 2013To solve the big topic modeling problem, we need to reduce both time and space complexities of batch latent Dirichlet allocation (LDA) algorithms. Although parallel LDA algorithms on the multi-processor architecture have low time and space complexities, ... More

Study on contributions of hadronic loops to decays of $J/ψ\to$ vector $+$ pseudoscalar mesonsJun 19 2006Sep 22 2006In this work, we evaluate the contributions of the hadronic loops to the amplitudes of $J/\psi\to PV$ where $P$ and $V$ denote light pseudoscalar and vector mesons respectively. By fitting data of two well measured channels of $J/\psi\to PV$, we obtain ... More

Communication-Efficient Parallel Belief Propagation for Latent Dirichlet AllocationJun 11 2012This paper presents a novel communication-efficient parallel belief propagation (CE-PBP) algorithm for training latent Dirichlet allocation (LDA). Based on the synchronous belief propagation (BP) algorithm, we first develop a parallel belief propagation ... More

Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentialsFeb 06 2015We are interested in the attractive Gross-Pitaevskii (GP) equation in $\R^2$, where the external potential $V(x)$ vanishes on $m$ disjoint bounded domains $\Omega_i\subset \R^2\ (i=1,2,\cdots,m)$ and $V(x)\to\infty$ as $|x|\to\infty$, that is, the union ... More

Comments on "Stack-based Algorithms for Pattern Matching on DAGs"Sep 01 2011Mar 29 2012The paper "Stack-based Algorithms for Pattern Matching on DAGs" generalizes the classical holistic twig join algorithms and proposes PathStackD, TwigStackD and DagStackD to respectively evaluate path, twig and DAG pattern queries on directed acyclic graphs. ... More

Phase transitions and elementary excitations in spin-1 Bose gases with Raman-induced spin-orbit couplingDec 13 2015Mar 30 2016We study the ground state phase diagram and the quantum phase transitions in spin-1 Bose gases with Raman induced spin-orbit coupling. In addition to the Bose-Einstein condensates with uniform density, three types of stripe condensation phases that simultaneously ... More

$Λ_{c}^{+}(2940)$: A Possible Molecular State?Jun 01 2006Jun 13 2007A new baryonic state $\Lambda_{c}(2940)^{+}$ has recently been discovered by the Babar collaboration in the $D^{0}p$ channel. Later Belle collaboration also observed this state in the $\Sigma_c(2455)^{0,++} \pi^{\pm}\to \Lambda_{c}^{+}\pi^{+}\pi^{-}$ ... More

Van der Waals like behavior and equal area law of two point correlation function of f(R) AdS black holesApr 28 2016May 04 2016To gain holographic insight into critical phenomena of $f(R)$ AdS black holes, we investigate their two point correlation function, which are dual to the geodesic length in the bulk. We solve the equation of motion constrained by the boundary condition ... More

Measurement of the $^{232}$Th (n, $γ$ )/$^{58}$Ni (n, p) reaction rate ratio in the leakage neutron field of CFBR-II fast burst reactorNov 09 2016Nov 17 2016A ThO$_{2}$ sample and a nickel activation foil were irradiated in the leakage neutron field of CFBR-II reactor. The activities of the activation products were measured after irradiation to obtain the reaction rates. The normalized reaction rates were ... More

Noncommutative Bennett and Rosenthal inequalitiesNov 04 2011Dec 16 2013In this paper we extend the Bernstein, Prohorov and Bennett inequalities to the noncommutative setting. In addition we provide an improved version of the noncommutative Rosenthal inequality, essentially due to Nagaev, Pinelis and Pinelis, Utev for commutative ... More

An application of free transport to mixed $q$-Gaussian algebrasJul 17 2015Nov 04 2015We consider the mixed $q$-Gaussian algebras introduced by Speicher which are generated by the variables $X_i=l_i+l_i^*,i=1,\ldots,N$, where $l_i^* l_j-q_{ij}l_j l_i^*=\delta_{i,j}$ and $-1<q_{ij}=q_{ji}<1$. Using the free monotone transport theorem of ... More

Symmetries of Codeword Stabilized Quantum CodesMar 28 2013Apr 08 2013Symmetry is at the heart of coding theory. Codes with symmetry, especially cyclic codes, play an essential role in both theory and practical applications of classical error-correcting codes. Here we examine symmetry properties for codeword stabilized ... More

Free monotone transport for infinite variablesNov 19 2015We extend the free monotone transport theorem of Guionnet and Shlyakhtenko to the case of infinite variables. As a first application, we provide a criterion for when mixed $q$-Gaussian algebras are isomorphic to $L(\mathbb{F}_\infty)$; namely, when the ... More

Deterministic and Efficient Quantum Cryptography Based on Bell's TheoremJan 28 2005May 05 2006We propose a novel double-entanglement-based quantum cryptography protocol that is both efficient and deterministic. The proposal uses photon pairs with entanglement both in polarization and in time degrees of freedom; each measurement in which both of ... More

All-Versus-Nothing Violation of Local Realism by Two-Photon, Four-Dimensional EntanglementFeb 14 2005Sep 21 2005We develop and exploit a source of two-photon four-dimensional entanglement to report the first two-particle all-versus-nothing test of local realism with a linear optics setup, but without resorting to a non-contextuality ssumption. Our experimental ... More

Evolutionary search for new high-k dielectric materials: methodology and applications to hafnia-based oxidesJul 24 2013Jul 26 2013High-k dielectric materials are important as gate oxides in microelectronics and as potential dielectrics for capacitors. In order to enable computational discovery of novel high-k dielectric materials, we propose a fitness model (energy storage density) ... More

Context-aware System Service Call-oriented Symbolic Execution of Android Framework with Application to Exploit GenerationNov 02 2016Android Framework is a layer of software that exists in every Android system managing resources of all Android apps. A vulnerability in Android Framework can lead to severe hacks, such as destroying user data and leaking private information. With tens ... More

Induced interaction in a spin-polarized Fermi gasJul 09 2010We study the effect of the induced interaction on the superfluidtransition temperature of a spin-polarized Fermi gas. In the BCS limit, the polarization is very small in the superfluid state, and the effect of the induced interaction is almost the same ... More

Collinear antiferromagnetic state in a two-dimensional Hubbard model at half fillingFeb 11 2010Jun 02 2010In a half-filled Hubbard model on a square lattice, the next-nearest-neighbor hopping causes spin frustration, and the collinear antiferromagnetic (CAF) state appears as the ground state with suitable parameters. We find that there is a metal-insulator ... More

Molecular Bose-Einstein condensation in a Bose gas with a wide Feshbach resonance at finite temperaturesFeb 08 2010Feb 21 2010Bose-Einstein condensation (BEC) of Feshbach molecules in a homogeneous Bose gas is studied at finite temperatures in a single-channel mean-field approach where the Hartree-Fock energy and pairing gap are determined self-consistently. In the molecular-BEC ... More

Band gap renormalization and work function tuning in MoSe2/hBN/Ru(0001) heterostructuresSep 06 2016Here we report the successful growth of MoSe2 on single layer hexagonal boron nitride (hBN) on Ru(0001) substrate by using molecular beam epitaxy. We investigated the electronic structures of MoSe2 using scanning tunneling microscopy and spectroscopy. ... More

Prediction of stable hafnium carbides: their stoichiometries, mechanical properties, and electronic structureSep 25 2013Hafnium carbides are studied by a systematic search for possible stable stoichiometric compounds in the Hf-C system at ambient pressure using variable-composition ab initio evolutionary algorithm implemented in the USPEX code. In addition to well-known ... More

Observation of Lattice and Andreev Bound States of Vortices in Ba0.6K0.4Fe2As2 Single Crystals with Scanning Tunneling Microscopy/SpectroscopyMay 21 2010For a type-II superconductor, when the applied magnetic field is higher than the lower critical value Hc1, the magnetic flux will penetrate into the superconductor and form quantized vortices, which usually are arranged in an Abrikosov lattice. For the ... More

Recalculation of Pion Compton Scattering in Perturbative QCDFeb 24 2002Jul 09 2002We recalculated pion virtual Compton scattering in perturbative QCD in this paper. Our calculation avoids some deficiencies in existing literatures, and treats real Compton scattering as a limit case in which the mass of the virtual photon equals to zero. ... More

The induced interaction in a Fermi gas with a BEC-BCS crossoverMay 07 2009We study the effect of the induced interaction on the superfluid transition temperature of a Fermi gas with a BEC-BCS crossover. The Gorkov-Melik-Barkhudarov theory about the induced interaction is extended from the BCS side to the entire crossover, and ... More

Adding Logical Operators to Tree Pattern Queries on Graph-Structured DataSep 20 2011Apr 16 2012As data are increasingly modeled as graphs for expressing complex relationships, the tree pattern query on graph-structured data becomes an important type of queries in real-world applications. Most practical query languages, such as XQuery and SPARQL, ... More

Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossoverApr 17 2009The Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover is derived by the path-integral method. In addition to the standard Ginzburg-Landau equation, a second equation describing the total atom density is obtained. These two coupled ... More

Estimating Mass of Sigma-Meson and Study on Application of the Linear Sigma-ModelFeb 10 2004Whether the $\sigma-meson$ ($f_0(600)$) exists as a real particle is a long-standing problem in both particle physics and nuclear physics. In this work, we analyze the deuteron binding energy in the linear $\sigma$ model and by fitting the data, we are ... More

Formation of Stoichiometric CsF$_n$ CompoundsAug 24 2014Alkali halides $MX$, have been viewed as typical ionic compounds, characterized by 1:1 ratio necessary for charge balance between M$^+$ and X$^-$. It was proposed that group I elements like Cs can be oxidized further under high pressure. Here we perform ... More

Stability Condition of a Strongly Interacting Boson-Fermion Mixture across an Inter-Species Feshbach ResonanceJan 13 2011Apr 23 2011We study the properties of dilute bosons immersed in a single component Fermi sea across a broad boson-fermion Feshbach resonance. The stability of the mixture requires that the bare interaction between bosons exceeds a critical value, which is a universal ... More

Trapped Bose-Einstein condensates in synthetic magnetic fieldAug 25 2015Rotating properties of Bose-Einstein condensates in synthetic magnetic field are studied by numerically solving the Gross-Pitaevskii equation and compared with condensates confined in the rotating trap. It seems that it is more difficult to add large ... More

Understanding the radiative decays of vector charmonia to light pseudoscalar mesonsDec 06 2010Jan 24 2011We show that the newly measured branching ratios of vector charmonia ($J/\psi$, $\psi^\prime$ and $\psi(3770))$ into $\gamma P$, where $P$ stands for light pseudoscalar mesons $\pi^0$, $\eta$, and $\eta^\prime$, can be well understood in the framework ... More

Convergence rates and $W^{1,p}$ estimates in homogenization theory of Stokes systems in Lipschitz domainsSep 01 2016Concerned with the Stokes systems with rapidly oscillating periodic coefficients, we mainly extend the recent works in \cite{SGZWS,G} to those in term of Lipschitz domains. The arguments employed here are quite different from theirs, and the basic idea ... More

A note on inverses of cyclotomic mapping permutation polynomials over finite fieldsJan 16 2016In this note, we give a shorter proof of a result of Zheng, Yu, and Pei on the explicit formula of inverses of generalized cyclotomic permutation polynomials over finite fields. Moreover, we characterize all these cyclotomic permutation polynomials that ... More

Affine quantum Schur algebras at roots of unityMay 14 2012Aug 06 2012We will classify finite dimensional irreducible modules for affine quantum Schur algebras at roots of unity and generalize \cite[(6.5f) and (6.5g)]{Gr80} to the affine case in this paper.

The w-index: A significant improvement of the h-indexMay 30 2008Jun 13 2008I propose a new measure, the w-index, as a particularly simple and useful way to assess the integrated impact of a researcher's work, especially his or her excellent papers. The w-index can be defined as follows: If w of a researcher's papers have at ... More

A Topic Modeling Toolbox Using Belief PropagationJan 04 2012Apr 05 2012Latent Dirichlet allocation (LDA) is an important hierarchical Bayesian model for probabilistic topic modeling, which attracts worldwide interests and touches on many important applications in text mining, computer vision and computational biology. This ... More

Computing points on modular curves over finite fieldsMay 20 2013In this paper, we present a probabilistic algorithm to compute the number of $\mathbb{F}_p$-points of modular curve $X_1(n)$. Under the Generalized Riemann Hypothesis(GRH), the algorithm takes $\textrm{O}(n^{56+\delta+\epsilon}\log^{9+\epsilon} p)$ bit ... More

The Gap of the Consecutive Eigenvalues of the Drifting Laplacian on Metric Measure SpacesJun 21 2016In this paper, we investigate eigenvalues of the Dirichlet problem and the closed eigenvalue problem of drifting Laplacian on the complete metric measure spaces and establish the corresponding general formulas. By using those general formulas, we give ... More

Artificial Persuasion in Pedagogical GamesJan 23 2016A Persuasive Teachable Agent (PTA) is a special type of Teachable Agent which incorporates a persuasion theory in order to provide persuasive and more personalized feedback to the student. By employing the persuasion techniques, the PTA seeks to maintain ... More

Unitary representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$Jan 18 2006We present modules for the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$ by using the idea of free fields. A necessary and sufficient condition for the modules being unitary is given.

Criterion for rays landing togetherMar 19 2015Let $f$ be a polynomial with degree $\geq 2$ and the Julia set $J_f$ locally connected. We give a partition of complex plane $\mathbb{C}$ and show that, if $z$, $z'$ in $J_f$ have the same itineriary respect to the partition, then either $z=z'$ or both ... More

A hybrid FD-FV method for first-order hyperbolic conservation laws on Cartesian grids: The smooth problem caseDec 21 2012Nov 28 2016We present a class of hybrid FD-FV (finite difference and finite volume) methods for solving general hyperbolic conservation laws written in first-order form. The presentation focuses on one- and two-dimensional Cartesian grids; however, the generalization ... More

Cylindrically Symmetric Ground State Solutions for Curl-Curl Equations with Critical ExponentSep 30 2016We study the following nonlinear critical curl-curl equation \begin{equation}\label{eq0.1}\nabla\times \nabla\times U +V(x)U=|U|^{p-2}U+ |U|^4U,\quad x\in \mathbb{R}^3,\end{equation} where $V(x)=V(r, x_3)$ with $r=\sqrt{x_1^2+x_2^2}$ is 1-periodic in ... More

A simple eavesdropping strategy of BB84 protocolDec 22 1998A simplified eavesdropping-strategy for BB84 protocol in quantum cryptography (refer to quant-ph/9812022) is proposed. This scheme implements by the `indirect copying' technology. Under this scheme, eavesdropper can exactly obtain the exchanged information ... More

Notes On Hilbert's 12th ProblemMay 03 2006In this note we will study the Hilbert 12th problem for a primitive CM field, and the corresponding Stark conjectures. Using the idea of Mirror Symmetry, we will show how to generate all the class fields of a given primitive CM field, thus complete the ... More

The First Eigenvalue for the Bi-Beltrami-Laplacian on Minimal Isoparametric Hypersurfaces of $\mathbb{S}^{n+1}(1)$Dec 05 2016In this paper, we investigate the first eigenvalues of two closed eigenvalue problems of the bi-Beltrami-Laplacian on minimal embedded isoparametric hypersurface in the unit sphere $\mathbb{S}^{n+1}(1)$. Although many mathematicians want to derive the ... More

An expansion formula for the inversions and excedances in the symmetric groupJun 15 2012We prove a recent conjecture of Blanco and Petersen (arXiv:1206.0803v2) about an expansion formula for inversions and excedances in the symmetric group.

Measurement of the $^{232}$Th (n, $γ$ )/$^{58}$Ni (n, p) reaction rate ratio in the leakage neutron field of CFBR-II fast burst reactorNov 09 2016A ThO$_{2}$ sample with a nickel activation foil attached was irradiated in the leakage neutron field of CFBR-II reactor. The activities of the active products were measured after irradiation to obtain the reaction rates. The normalized reaction rates ... More

Fast Online EM for Big Topic ModelingOct 08 2012Dec 07 2015The expectation-maximization (EM) algorithm can compute the maximum-likelihood (ML) or maximum a posterior (MAP) point estimate of the mixture models or latent variable models such as latent Dirichlet allocation (LDA), which has been one of the most popular ... More

Teleportation-based realization of an optical quantum two-qubit entangling gateNov 02 2010In recent years, there has been heightened interest in quantum teleportation, which allows for the transfer of unknown quantum states over arbitrary distances. Quantum teleportation not only serves as an essential ingredient in long-distance quantum communication, ... More

Experimental Quantum Digital Signature over 102 kmAug 03 2016Quantum digital signature (QDS) is an approach to guarantee the nonrepudiation, unforgeability and transferability of a signature with the information-theoretical security. All previous experimental realizations of QDS relied on an unrealistic assumption ... More

A Symplectic Multi-Particle Tracking Model for Self-Consistent Space-Charge SimulationOct 15 2016Symplectic tracking is important in accelerator beam dynamics simulation. So far, to the best of our knowledge, there is no self-consistent symplectic space-charge tracking model available in the accelerator community. In this paper, we present a two-dimensional ... More

Method of studying the Bogoliubov-de Gennes equations for the superconducting vortex lattice stateAug 26 2009In this paper, we present a method to construct the eigenspace of the normal-state electrons moving in a 2D square lattice in presence of a perpendicular uniform magnetic field which imposes (quasi)-periodic boundary conditions for the wave functions ... More

Affine quantum Schur algebras and affine Hecke algebrasMay 03 2012Let ${\mathsf F}$ be the Schur functor from the category of finite dimensional ${\mathcal H}_{\vartriangle}(r)_\mathbb C$-modules to the category of finite dimensional ${\mathcal S}_{\vartriangle}(n,r)_{\mathbb{C}}$-modules, where ${\mathcal H}_{\vartriangle}(r)_\mathbb ... More

Integral affine Schur-Weyl reciprocityMay 09 2012Let ${\boldsymbol{\mathfrak D}_{\vartriangle}}(n)$ be the double Ringel--Hall algebra of the cyclic quiver $\triangle(n)$ and let $\dot{\boldsymbol{\mathfrak D}_{\vartriangle}}(n)$ be the modified quantum affine algebra of ${\boldsymbol{\mathfrak D}_{\vartriangle}}(n)$. ... More

Local vibrational mode of impurity in a monatomic linear chain under open and periodic boundary conditionsJul 23 2016In this paper, we revisit the lattice vibration of one-dimensional monatomic linear chain under open and periodic boundary conditions, and give the exact conditions for the emergence of the local vibration mode when one of the atoms is replaced by an ... More

On the Bott-Chern characteristic classes for coherent sheavesNov 14 2016Using the concept of a cohesive module defined by Block, we use the theory of superconnections in the sense of Quillen to construct natural superconnections on Hermitian cohesive modules. By the Chern-Weil construction, we obtain characteristic classes ... More

Cyclotomy and permutation polynomials of large indicesSep 18 2012We use cyclotomy to design new classes of permutation polynomials over finite fields. This allows us to generate many classes of permutation polynomials in an algorithmic way. Many of them are permutation polynomials of large indices.

The Non-integrable Mass and the Scalar ChargeMar 20 2015Nov 20 2015The non-integrable mass is studied explicitly in this paper. We study Einstein-scalar gravities with weakened boundary conditions, and calculate the mass with the Hamiltonian formula and Wald's formula respectively. We find the masses calculated by these ... More

Global Solutions to the Gas-Vacuum Interface Problem of Isentropic Compressible Inviscid Flows with Damping in Spherically Symmetric Motions and Physical VacuumOct 30 2014For the physical vacuum free boundary problem with the sound speed being $C^{{1}/{2}}$-H$\ddot{\rm o}$lder continuous near vacuum boundaries of the three-dimensional compressible Euler equations with damping, the global existence of spherically symmetric ... More

Superconducting properties of nanocrystalline MgB$_2$ thin films made by an in situ annealing processMay 03 2001We have studied the structural and superconducting properties of MgB$_2$ thin films made by pulsed laser deposition followed by in situ annealing. The cross-sectional transmission electron microscopy reveals a nanocrystalline mixture of textured MgO and ... More

Emitting electrons spectra and acceleration processes in the jet of Mrk 421: from low state to giant flare stateJan 28 2013We investigate the electron energy distributions (EEDs) and the acceleration processes in the jet of Mrk 421 through fitting the spectral energy distributions (SEDs) in different active states in the frame of a one-zone synchrotron self-Compton (SSC) ... More

BLM realization for ${\mathcal U}_{\mathbb Z}(\hat{\frak{gl}}_n)$Apr 14 2012In 1990, Beilinson-Lusztig-MacPherson (BLM) discovered a realization \cite[5.7]{BLM} for quantum $\frak{gl}_n$ via a geometric setting of quantum Schur algebras. We will generailze their result to the classical affine case. More precisely, we first use ... 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

χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structuresMay 01 2007Oct 31 2007In light of the recent data from BES collaboration for $\chi_{c0}\to VV$, $PP$ and $SS$, and from CLEO-c for $\eta\eta$, $\eta^\prime\eta^\prime$ and $\eta\eta^\prime$, we present a detailed analysis of the decays of heavy quarkonia into light meson pairs ... More

A coherent study of $χ_{c0,2}\to VV$, $PP$ and $SS$Aug 07 2005Sep 21 2005We investigate the decays of $\chi_{c0,2}$ into vector meson pairs ($VV$), pseudoscalar pairs ($PP$), and scalar pairs ($SS$) in a general factorization scheme. The purpose is to clarify the role played by the OZI-rule violations and SU(3) flavour breakings ... More

Strategy to Construct Exact Solutions in Einstein-Scalar GravitiesJan 12 2015Nov 06 2015In this article we propose a new efficient strategy to construct exact solutions of Einstein gravities with a minimally coupled self-interacting scalar field. The strategy is to use the symmetry of the equations of motion (EOMs) to give a proper ansatz ... More

On Gorenstein log del Pezzo SurfacesSep 28 2001Dec 22 2001In this paper, we first present the complete list of the singularity types of the Picard number one Gorenstein log del Pezzo surface and the number of the isomorphism classes with the given singularity type. Then we give out a method to find out all singularity ... More

Phenomenological theory of spinor Bose-Einstein condensatesDec 05 2002May 13 2003A phenomenological model is proposed to describe the behavior of spinor Bose-Einstein condensates. In the absence of hyperfine spin-spin interactions, Bose-Einstein condensation leads to a spontaneous magnetization at the same transition temperature. ... More

The fixed subgroups of homeomorphisms of Seifert manifoldsJan 30 2015Let $M$ be a compact connected orientable Seifert manifold with hyperbolic orbifold $B_M$, and $f_{\pi}: \pi_1(M)\rightarrow\pi_1(M)$ be an automorphism induced by an orientation-reversing homeomorphism $f$ of $M$. We give a bound on the rank of the fixed ... More

Possible Molecular Structure of the Newly Observed Y(4260)Jul 14 2005Sep 14 2005We suggest that the newly observed resonance Y(4260) is a $\chi_{c}-\rho^0$ molecule, which is an isovector. In this picture, we can easily interpret why $Y(4260)\to \pi^+\pi^-J/\psi$ has a larger rate than $Y(4260)\to D\bar D$ which has not been observed, ... More

Infinite solutions having a prescribed number of nodes for a p-Laplacian problemNov 28 2014In this paper, we are concern with the multiplicity of solutions for a p-Laplacian problem. A weaker super-quadratic assumptions is required on the nonlinearity. Under the weaker condition we give a new proof for the infinite solutions having a prescribed ... More

On some $q$-identities related to divisor functionsJun 16 2004We give generalizations and simple proofs of some $q$-identities of Dilcher, Fu and Lascoux related to divisor functions.

A Class of Irreducible Modules for the Extended Affine Lie Algebra $\widetilde{\frak{gl}_l({\mathbb{C}_q})}$Apr 07 2009We construct a class of modules for extended affine Lie algebra $\widetilde{\frak{gl}_l({\bc_q})}$ by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.

Fermion Families from Two Layer Warped Extra DimensionsAug 15 2008Aug 19 2008In extra dimensions, the quark and lepton mass hierarchy can be reproduced from the same order bulk mass parameters, and standard model fermion families can be generated from one generation in the high dimensional space. We try to explain the origin of ... More

Simulation of beam-beam induced emittance growth in the HL-LHC with crab cavitiesOct 22 2014The emittance growth in the HL-LHC due to beam-beam effects is examined by virtue of strong-strong computer simulations. A model of the transverse damper and the noise level have been tuned to simulate the emittance growth in the present LHC. Simulations ... More

Inhomogeneous spin diffusion of transversely polarized fermions at a high temperature limitJul 10 2016Aug 17 2016We study the transverse spin diffusion of trapped polarized Fermi gases based on the quantum Boltzmann equation. The inhomogeneous dephasing can not completely removed by the echo pulse and might have significant correction to the demagnetization dynamics. ... More

Decipher the short-distance component of $X(3872)$ in $B_c$ decaysDec 10 2015A foremost task in understanding the nature of the $X(3872)$ involves the discrimination of the two-quark and multiquark configurations. In this work, we propose a method to probe the short-distance component of the $X(3872)$ by measuring the ratio between ... More

Error Bounds for the Krylov Subspace Methods for Computations of Matrix ExponentialsMar 23 2016In this paper, we present new a posteriori and a priori error bounds for the Krylov subspace methods for computing $e^{-\tau A}v$ for a given $\tau>0$ and $v \in C^n$, where $A$ is a large sparse non-Hermitian matrix. The {\em a priori} error bounds relate ... More

Learning Transformations for Classification ForestsDec 19 2013Feb 06 2014This work introduces a transformation-based learner model for classification forests. The weak learner at each split node plays a crucial role in a classification tree. We propose to optimize the splitting objective by learning a linear transformation ... More

Testing the 130 GeV gamma-ray line with high energy resolution detectorsJun 11 2012Jul 31 2012Recently some hints of the existence of $\gamma$-ray line around 130 GeV are reported according to the analysis of Fermi-LAT data. If confirmed it would be the first direct evidence to show the existence of new physics beyond the standard model. Here ... More

Unified Microscopic-Macroscopic Monte Carlo Simulations of Complex Organic Molecule Chemistry in Cold CoresMar 13 2016The recent discovery of methyl formate and dimethyl ether in the gas phase of cold cores with temperatures as cold as 10 K challenges our previous astrochemical models concerning the formation of complex organic molecules. The strong correlation between ... More