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Background Study on Supernova Relic Neutrinos Search in SuperK-GdOct 29 2016The detection of supernova relic neutrinos could provide precious information on the evolution of the universe, the formation of stars, the mechanism of supernova bursts and the related neutrino physics. Many experiments, such as Kamland, Borexino, Sudbury ... More

On the second fundamental theorem of invariant theory for the orthosymplectic supergroupMar 28 2016Nov 10 2017The first fundamental theorem of invariant theory for the orthosymplectic supergroup ${\rm OSp}(V)$ (where $V$ has superdimension $(m|2n)$) in the endomorphism algebra setting states that there is a surjective algebra homomorphism $F_r^r: B_r(m-2n)\rightarrow ... More

The first and second fundamental theorems of invariant theory for the quantum general linear supergroupMar 06 2017Nov 10 2017We develop the non-commutative polynomial version of the invariant theory for the quantum general linear supergroup ${\rm{ U}}_q(\mathfrak{gl}_{m|n})$. A non-commutative ${\rm{ U}}_q(\mathfrak{gl}_{m|n})$-module superalgebra $\mathcal{P}^{k|l}_{\,r|s}$ ... More

New approach to Monte Carlo calculation of buckling of supercoiled DNA loopsSep 11 2000The short supercoiled circular DNA molecules are shown to be glassy systems and canonical Metropolis Monte Carlo simulations of the systems tend to get stuck in local metastable energy basins. A novel Monte Carlo algorithm is developed to alleviate the ... More

Recovery of singularities for the weighted cone transform appearing in the Compton camera imagingApr 13 2019We study the weighted cone transform $I_\kappa$ of distributions with compact support in a domain $M $ of $\mathbb{R}^3$, over cone surfaces whose vertexes are located on a smooth surface away from $M$ and opening angles are limited to an open interval ... More

Language in Our Time: An Empirical Analysis of HashtagsMay 11 2019Hashtags in online social networks have gained tremendous popularity during the past five years. The resulting large quantity of data has provided a new lens into modern society. Previously, researchers mainly rely on data collected from Twitter to study ... More

Artifacts in the inversion of the broken ray transform in the planeNov 23 2017Mar 01 2018We study the integral transform over a general family of broken rays in $\mathbb{R}^2$. It is natural for broken rays to have conjugate points, for example, when they are reflected from a curved boundary. If there are conjugate points, we show that the ... More

Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic GeometryDec 07 2016These notes are for the author's lectures, "Integral Reduction and Applied Algebraic Geometry Techniques" in the School and Workshop on Amplitudes in Beijing 2016. I introduce the applications of algebraic geometry methods on multi-loop scattering amplitudes, ... More

On the second fundamental theorem of invariant theory for the orthosymplectic supergroupMar 28 2016Jun 15 2016The first fundamental theorem of invariant theory for the orthosymplectic supergroup ${\rm OSp}(V)$ (where $V$ has superdimension $(m|2n)$) in the endomorphism algebra setting states that there is a surjective algebra homomorphism $F_r^r: B_r(m-2n)\rightarrow ... More

A practical attack to Bouftass's cryptosystemMay 03 2016Recently, a new fast public key exchange protocol was presented by S. Bouftass. The protocol is based on the difficulty of inverting the function $F(x)=\lfloor (zx \mod 2^p)/ 2^q \rfloor$. In this paper, we describe a practical attack against this protocol ... More

Brauer-Thrall type theorems for derived categoryOct 10 2013The numerical invariants (global) cohomological length, (global) cohomological width, and (global) cohomological range of complexes (algebras) are introduced. Cohomological range leads to the concepts of derived bounded algebras and strongly derived unbounded ... More

Inverse electromagnetic scattering problems by a doubly periodic structureMay 04 2013Consider the problem of scattering of electromagnetic waves by a doubly periodic structure. The medium above the structure is assumed to be inhomogeneous characterized completely by an index of refraction. Below the structure is a perfect conductor or ... More

Gravitational floating orbits around hairy black holesAug 08 2018Mar 10 2019We show that gravitational floating orbits may exist for black holes with rotating hairs. These black hole hairs could originate from the superradiant growth of a light axion field around the rotating black holes. If a test particle rotates around the ... More

Quantifying Location SocialityApr 01 2016Sep 04 2017The emergence of location-based social networks provides an unprecedented chance to study the interaction between human mobility and social relations. This work is a step towards quantifying whether a location is suitable for conducting social activities, ... More

Synthetic direct demodulation method and its applications in Insight-HXMT data analysisSep 06 2018Aims. A modulation equation relates the observed data to the object where the observation is approximated by a linear system. Reconstructing the object from the observed data is therefore is equivalent to solving the modulation equation. In this work ... More

Nonlinear Density Fluctuation Field Theory for Large Scale StructureDec 24 2008We develop the effective field theory of density fluctuations for a Newtonian self-gravitating N-body system in quasi-equilibrium, apply it to a homogeneous universe with small density fluctuations. Keeping the density fluctuation up to the second order, ... More

Second-order cosmological perturbations IV. Produced by scalar-tensor and tensor-tensor couplings during the radiation dominated stageMay 08 2019May 28 2019We continue to study the 2nd-order cosmological perturbations in synchronous coordinates in the framework of the general relativity (GR) during the radiation dominated (RD) stage, and to focus on the scalar-tensor and tensor-tensor couplings. The 1st-order ... More

A construction of dualizing categories by tensor products of categoriesOct 05 2016It is shown that the idempotent completion of the additive hull of the tensor product of the residue category of the category of paths of a locally finite quiver modulo an admissible ideal and a dualizing category is dualizing. Furthermore, the category ... More

Dissociation of O2 molecules on strained Pb(111) surfacesAug 18 2011Oct 27 2011By performing first-principles molecular dynamics calculations, we systematically simulate the adsorption behavior of oxygen molecules on the clean and strained Pb(111) surfaces. The obtained molecular adsorption precursor state, and the activated dissociation ... More

CMB Temperature Anisotropy Quadrupole Generated by Tensor PerturbationOct 12 2005May 21 2010This paper has been withdrawn.

Relic gravitational waves and their detectionApr 21 2006Oct 29 2008As the strong evidence for inflation, the relic gravitational waves (RGW) have been extensively studied. Although, it has not been detected, yet some constraints have been achieved by the observations. Future experiments for the RGW detection are mainly ... More

Separate the Tensor Perturbation From the CMB Temperature Anisotropy Power SpectrumSep 26 2005May 21 2010This paper has been withdrawn.

Analytic Spectra of CMB Anisotropies and Polarization Generated by Scalar Perturbations in Synchronous GaugeApr 30 2012We present a detailed analytical calculation of CMB temperature anisotropies \alpha_k and polarization \beta_k generated by scalar metric perturbations in synchronous gauge, parallel to our previous work with RGW as a generating source. This is realized ... More

Hierarchical Chain Model of Spider Capture Silk ElasticityDec 20 2004Jan 24 2005Spider capture silk is a biomaterial with both high strength and high elasticity, but the structural design principle underlying these remarkable properties is still unknown. It was revealed recently by atomic force microscopy that, an exponential force--extension ... More

Tight Upper Bounds for Streett and Parity ComplementationFeb 15 2011Jun 13 2011Complementation of finite automata on infinite words is not only a fundamental problem in automata theory, but also serves as a cornerstone for solving numerous decision problems in mathematical logic, model-checking, program analysis and verification. ... More

Can Nondeterminism Help Complementation?Oct 26 2011Oct 09 2012Complementation and determinization are two fundamental notions in automata theory. The close relationship between the two has been well observed in the literature. In the case of nondeterministic finite automata on finite words (NFA), complementation ... More

Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schrödinger operatorsApr 28 2018We proved that Schr\"odinger operators with unbounded potentials $(H_{\alpha,\theta}u)_n=u_{n+1}+u_{n-1}+ \frac{g(\theta+n\alpha)}{f(\theta+n\alpha)} u_n$ have purely singular continuous spectrum on the set $\{E: 0<L(E)<\delta{(\alpha,\theta;f,g)}\}$, ... More

Area of the complement of the fast escaping sets of a family of entire functionsJul 02 2017Mar 12 2018Let $f$ be an entire function with the form $f(z)=P(e^z)/e^z$, where $P$ is a polynomial with degree at least $2$ and $P(0)\neq 0$. We prove that the area of the complement of the fast escaping set (hence the Fatou set) of $f$ in a horizontal strip of ... More

Field Equation of Correlation Function of Mass Density Fluctuation for Self-Gravitating SystemsAug 22 2014Nov 03 2014We study the mass density distribution of the Newtonian self-gravitating system. Modeling the system either as a gas in thermal equilibrium, or as a fluid in hydrostatical equilibrium, we obtain the field equation of correlation function $\xi(r)$ of the ... More

Transmission of Video Image in Underwater Acoustic CommunicationFeb 26 2019Acoustic communication is currently considered as the best way to transmit information over long distances under water, since acoustic waves have lower attenuation in water than the other information transmission media. However, current information transmission ... More

Artificial Intelligence in Intelligent Tutoring Robots: A Systematic Review and Design GuidelinesFeb 26 2019This study provides a systematic review of the recent advances in designing the intelligent tutoring robot (ITR), and summarises the status quo of applying artificial intelligence (AI) techniques. We first analyse the environment of the ITR and propose ... More

The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate OperatorApr 23 2018We prove the existence and uniqueness of solution of quasilinear stochastic partial differential equations with obstacle (OSPDEs in short) in degenerate case. Using De Giorgi's iteration, we deduce the $L^p-$estimates for the time-space uniform norm of ... More

The Neumann Boundary Problem for Elliptic Partial Differential Equations with Nonlinear Divergence TermsApr 23 2018We prove the existence and uniqueness of weak solution of a Neumann boundary problem for an elliptic partial differential equation (PDE for short) with a singular divergence term which can only be understood in a weak sense. A probabilistic approach is ... More

Quotients of one-sided trianglated categories by rigid subcategories as module categoriesFeb 08 2013We prove that some subquotient categories of one-sided triangulated categories are abelian. This unifies a result by Iyama-Yoshino in the case of triangulated categories and a result by Demonet-Liu in the case of exact categories.

G-SMOTE: A GMM-based synthetic minority oversampling technique for imbalanced learningOct 24 2018Imbalanced Learning is an important learning algorithm for the classification models, which have enjoyed much popularity on many applications. Typically, imbalanced learning algorithms can be partitioned into two types, i.e., data level approaches and ... More

Application BMO type space to parabolic equations of Navier-Stokes type with the Neumann boundary conditionMar 13 2018Mar 15 2018Let $L$ be a Neumann operator of the form $L=-\Delta_{N}$ acting on $L^2(\mathbb R^n)$. Let ${BMO}_{\Delta_{N}}(\mathbb R^n)$ denote the BMO space on $\mathbb R^n$ associated to the Neumann operator $\L$. In this article we will show that a function $f\in ... More

Quantifying Location SocialityApr 01 2016The emergence of location-based social networks provides an unprecedented chance to study the interaction between human mobility and social relations. In this work, we focus on quantifying whether a location is suitable for conducting social activities, ... More

Properties of Solar Ephemeral Regions at the Emergence StageDec 02 2013For the first time, we statistically study the properties of ephemeral regions (ERs) and quantitatively determine their parameters at the emergence stage based on a sample of 2988 ERs observed by the \emph{Solar Dynamics Observatory}. During the emergence ... More

Quantum tunneling of magnetization in dipolar spin-1 condensates under external fieldsSep 09 2006We study the macroscopic quantum tunneling of magnetization of the F=1 spinor condensate interacting through dipole-dipole interaction with an external magnetic field applied along the longitudinal or transverse direction. We show that the ground state ... More

Frame Dependence of Parton Cascade ResultsNov 06 1996Frame dependence of parton cascade results is studied for different schemes of doing cascade simulations. We show that different schemes do not always agree and results may have strong frame dependence. When the interaction range is on the order of mean ... More

Deciphering Interactions in Causal Networks without Parametric AssumptionsNov 12 2013Dec 06 2013With the assumption that the effect is a mathematical function of the cause in a causal relationship, FunChisq, a chi-square test defined on a non-parametric representation of interactions, infers network topology considering both interaction directionality ... More

On the finiteness of uniform sinksMar 10 2013We study the finiteness of uniform sinks for flow. Precisely, we prove that, for $\alpha>0$ $T>0$, if a vector field $X$ has only hyperbolic singularities or sectionally dissipative singularities, then $X$ can have only finitely many $(\alpha,T)$-uniform ... More

Second-order cosmological perturbations. III. Produced by scalar-scalar coupling during radiation-dominated stageNov 15 2018Feb 03 2019We study the 2nd-order scalar, vector and tensor metric perturbations in Robertson-Walker (RW) spacetime in synchronous coordinates during the radiation dominated (RD) stage. The dominant radiation is modeled by a relativistic fluid described by a stress ... More

Quintom models with an equation of state crossing -1Apr 21 2006Oct 29 2008In this paper, we investigate a kind of special quintom model, which is made of a quintessence field $\phi_1$ and a phantom field $\phi_2$, and the potential function has the form of $V(\phi_1^2-\phi_2^2)$. This kind of quintom fields can be separated ... More

Motion of grain boundaries incorporating dislocation structureOct 05 2017May 08 2018In this paper, we present a continuum model for the dynamics of low angle grain boundaries in two dimensions based on the motion of constituent dislocations of the grain boundaries. The continuum model consists of an equation for the motion of grain boundaries ... More

Mini-filament Eruptions Triggering Confined Solar Flares Observed by ONSET and SDOJun 05 2018Using the observations from the Optical and Near-infrared Solar Eruption Tracer and the Solar Dynamics Observatory, we study an M5.7 flare in AR 11476 on 2012 May 10 and a micro-flare in the quiet Sun on 2017 March 23. Before the onset of each flare, ... More

On the existence of specified cycles in bipartite tournamentsJun 20 2017For two integers $n\geq 3$ and $2\leq p\leq n$, we denote $D(n,p)$ the digraph obtained from a directed $n$-cycle by changing the orientations of $p-1$ consecutive arcs. In this paper, we show that a family of $k$-regular $(k\geq 3)$ bipartite tournament ... More

Two-Dimensional Boron Oxides with Dirac Loop and Strongly anisotropic Carrier MobilityJul 28 2016Recently, two-dimensional boron sheets have attracted a lot of attentions owing to their structural polymorphs and outstanding properties. And, due to chemical complexity and electron deficiency of B atoms, the 2D boron sheets are easy affected by the ... More

Algebraic geometry and Bethe ansatz (I) the quotient ring for BAEOct 12 2017Dec 26 2017In this paper and upcoming ones, we initiate a systematic study of Bethe ansatz equations for integrable models by modern computational algebraic geometry. We show that algebraic geometry provides a natural mathematical language and powerful tools for ... More

Weighted $L^p$ Estimates of Kato Square Roots Associated to Degenerate Elliptic OperatorsSep 18 2015Let $w$ be a Muckenhoupt $A_2(\mathbb{R}^n)$ weight and $L_w:=-w^{-1}\mathop\mathrm{div}(A\nabla)$ the degenerate elliptic operator on the Euclidean space $\mathbb{R}^n$, $n\geq 2$. In this article, the authors establish some weighted $L^p$ estimates ... More

Expected Sarsa($λ$) with Control Variate for Variance ReductionJun 25 2019Off-policy learning is powerful for reinforcement learning. However, the high variance of off-policy evaluation is a critical challenge, which causes off-policy learning with function approximation falls into an uncontrolled instability. In this paper, ... More

NCRF++: An Open-source Neural Sequence Labeling ToolkitJun 14 2018Jun 17 2018This paper describes NCRF++, a toolkit for neural sequence labeling. NCRF++ is designed for quick implementation of different neural sequence labeling models with a CRF inference layer. It provides users with an inference for building the custom model ... More

Weak lensing reconstruction through cosmic magnification I: a minimal variance map reconstructionMay 12 2011Feb 15 2012We present a concept study on weak lensing map reconstruction through the cosmic magnification effect in galaxy number density distribution. We propose a minimal variance linear estimator to minimize both the dominant systematical and statistical errors ... More

DeepCity: A Feature Learning Framework for Mining Location Check-insOct 12 2016Online social networks being extended to geographical space has resulted in large amount of user check-in data. Understanding check-ins can help to build appealing applications, such as location recommendation. In this paper, we propose DeepCity, a feature ... More

Reconstruct the Directories for In-Memory File SystemsApr 24 2019Existing path lookup routines in file systems need to construct an auxiliary index in memory or traverse the dentries of the directory file sequentially, which brings either heavy writes or large timing cost. This paper designs a novel path lookup mechanism, ... More

Energy Momentum Pseudo-Tensor of Relic Gravitational Wave in Expanding UniverseMar 31 2012Apr 04 2012We study the energy-momentum pseudo-tensor of gravitational wave, and examine the one introduced by Landau-Lifshitz for a general gravitational field and the effective one recently used in literature. In short wavelength limit after Brill-Hartle average, ... More

Brauer-Thrall type theorems for derived module categoriesOct 10 2013May 16 2017The numerical invariants (global) cohomological length, (global) cohomological width, and (global) cohomological range of complexes (algebras) are introduced. Cohomological range leads to the concepts of derived bounded algebras and strongly derived unbounded ... More

Second-order cosmological perturbations. IV. Produced by scalar-tensor and tensor-tensor couplings during the radiation dominated stageMay 08 2019Jun 26 2019We continue to study the 2nd-order cosmological perturbations in synchronous coordinates in the framework of the general relativity (GR) during the radiation dominated (RD) stage, and to focus on the scalar-tensor and tensor-tensor couplings. The 1st-order ... More

Pulling hairpinned polynucleotide chains: Does base-pair stacking interaction matter?Jan 18 2001Force-induced structural transitions both in relatively random and in designed single-stranded DNA (ssDNA) chains are studied theoretically. At high salt conditions, ssDNA forms compacted hairpin patterns stabilized by base-pairing and base-pair stacking ... More

Coincidence Problem in YM Field Dark Energy ModelApr 21 2006Oct 29 2008The coincidence problem is studied in the effective Yang-Mills condensate dark energy model. As the effective YM Lagrangian is completely determined by quantum field theory, there is no adjustable parameter in this model except the energy scale, and the ... More

The State Equation of the Yang-Mills field Dark Energy ModelsOct 12 2005Nov 28 2008In this paper, we study the possibility of building Yang-Mills(YM) field dark energy models with equation of state (EoS) crossing -1, and find that it can not be realized by the single YM field models, no matter what kind of lagrangian or initial condition. ... More

Analytic approach to the CMB polarizations generated by relic gravitational wavesAug 16 2005Oct 29 2008By Polnarev's method we analytically calculate the polarization spectra of the cosmic microwave background radiation (CMB) generated by cosmic relic gravitational waves (RGW). In this analytic approach the physics involved in this generating process is ... More

Activated O2 dissociation and formation of oxide islands on the Be(0001) surface: Another atomistic model for metal oxidationFeb 04 2010Oct 27 2011By simulating the dissociation of O2 molecules on the Be(0001) surface using the first-principles molecular dynamics approach, we propose a new atomistic model for the surface oxidation of sp metals. In our model, only the dissociation of the first oxygen ... More

Edge spin excitations and reconstructions of integer quantum Hall liquidsDec 30 2012Mar 27 2013We study the effect of electron-electron interaction on the charge and spin structures at the edge of integer quantum Hall liquids, under three different kinds of confining potentials. Our exact diagonalization calculation for small systems indicates ... More

2-Resonant fullerenesNov 24 2012A fullerene graph $F$ is a planar cubic graph with exactly 12 pentagonal faces and other hexagonal faces. A set $\mathcal{H}$ of disjoint hexagons of $F$ is called a resonant pattern (or sextet pattern) if $F$ has a perfect matching $M$ such that every ... More

On the classification of four-dimensional gradient Ricci solitonsJul 16 2017Apr 11 2019In this paper, we prove some classification results for four-dimensional gradient Ricci solitons. For a four-dimensional gradient shrinking Ricci soliton with $div^4Rm^\pm=0$, we show that it is either Einstein or a finite quotient of $\mathbb{R}^4$, ... More

On the Upper Bounds of MDS CodesApr 27 2009Let $M_{q}(k)$ be the maximum length of MDS codes with parameters $q,k$. In this paper, the properties of $M_{q}(k)$ are studied, and some new upper bounds of $M_{q}(k)$ are obtained. Especially we obtain that $M_{q}(q-1)\leq q+2(q\equiv4(mod 6)), M_{q}(q-2)\leq ... More

Dynamics for a diffusive prey-predator model with different free boundariesNov 20 2015Sep 29 2017To understand the spreading and interaction of prey and predator, in this paper we study the dynamics of the diffusive Lotka-Volterra type prey-predator model with different free boundaries. These two free boundaries, which may intersect each other as ... More

The optimal weighting function for cosmic magnification measurement through foreground galaxy-background galaxy (quasar) cross correlationApr 13 2011May 09 2011Cosmic magnification has been detected through cross correlation between foreground and background populations (galaxies or quasars). It has been shown that weighing each background object by its $\alpha-1$ can significantly improve the cosmic magnification ... More

Mixed Boundary Value Problems of Semilinear Elliptic PDEs and BSDEs with Singular CoefficientsDec 14 2011In this paper, we prove that there exists a unique weak solution to the mixed boundary value problem for a general class of semilinear second order elliptic partial differential equations with singular coefficients. Our approach is probabilistic. The ... More

Two-loop Integral Reduction from Elliptic and Hyperelliptic CurvesJul 22 2015Aug 26 2015We show that for a class of two-loop diagrams, the on-shell part of the integration-by-parts (IBP) relations correspond to exact meromorphic one-forms on algebraic curves. Since it is easy to find such exact meromorphic one-forms from algebraic geometry, ... More

Optimizing I/O for Big Array AnalyticsApr 26 2012Big array analytics is becoming indispensable in answering important scientific and business questions. Most analysis tasks consist of multiple steps, each making one or multiple passes over the arrays to be analyzed and generating intermediate results. ... More

Finding best possible constant for a polynomial inequalityMar 04 2016Given a multi-variant polynomial inequality with a parameter, how to find the best possible value of this parameter that satisfies the inequality? For instance, find the greatest number $k$ that satisfies $ a^3+b^3+c^3+ k(a^2b+b^2c+c^2a)-(k+1)(ab^2+bc^2+ca^2)\geq ... More

SymBuild: a package for the computation of integrable symbols in scattering amplitudesSep 13 2018Oct 30 2018The article presents and documents the Mathematica package SymBuild. This package implements the computation and manipulation of integrable symbols appearing in various calculations in high-energy scattering amplitudes. By using Gr\"obner bases, implementing ... More

A New Access Control Scheme for Facebook-style Social NetworksApr 09 2013Apr 01 2016The popularity of online social networks (OSNs) makes the protection of users' private information an important but scientifically challenging problem. In the literature, relationship-based access control schemes have been proposed to address this problem. ... More

Second-order cosmological perturbations IV. Produced by scalar-tensor and tensor-tensor couplings during the radiation dominated stageMay 08 2019We continue to study the 2nd-order cosmological perturbations in synchronous coordinates in the framework of the general relativity (GR) during the radiation dominated (RD) stage, and focus on the scalar-tensor and tensor-tensor couplings. The 1st-order ... More

Reconstruct the Directories for In-Memory File SystemsApr 24 2019May 06 2019Existing path lookup routines in file systems need to construct an auxiliary index in memory or traverse the dentries of the directory file sequentially, which brings either heavy writes or large timing cost. This paper designs a novel path lookup mechanism, ... More

Few-Layer C2N: A Promising Metal-free Photocatalyst for Water SplittingMay 11 2015Jun 16 2015Successful synthesis of the nitrogenated holey two-dimensional structures C2N (Nat. Commun. 2015, 6, 6486) using simply wet-chemical reaction offer a cost-effective way to generate other 2D materials with novel optical and electronic properties. On basis ... More

Existence of Optical VorticesSep 07 2012Sep 21 2012Optical vortices arise as phase singularities of the light fields and are of central interest in modern optical physics. In this paper, some existence theorems are established for stationary vortex wave solutions of a general class of nonlinear Schr\"{o}dinger ... More

The Largest Scale We Can Detect in the Universe and the InflationJul 30 2005Oct 02 2005From the damping of the Cosmic Microwave Background Radiation (CMB) anisotropy power spectrum at large scale and the recent accelerating expansion of the Universe, we find that, there may be a largest scale which we can detect in the Universe. From this, ... More

Structures and magnetic properties of ZnO nanoislandsJun 04 2009Oct 27 2011Using first-principles calculations, we systematically study the atomic structures and electronic properties for two dimensional triangular ZnO nanoislands that are graphite-like with monolayer and bilayer thickness. We find that the monolayer ZnO nanoisland ... More

Dissociation of H2 molecule on the β-Ga2O3 (100)B surface: The critical role of oxygen vacancyAug 17 2011We systematically study the dissociation of H2 molecules on the {\beta}-Ga2O3 (100)B surface, with the influences of surface oxygen vacancy being considered. After introducing the surface oxygen vacancy, the nearest topmost O(I) atom becomes very active, ... More

Gelfand-Kirillov dimension of differential difference algebrasOct 09 2013Dec 07 2013Differential difference algebras were introduced by Mansfield and Szanto, which arose naturally from differential difference equations. In this paper, we investigate the Gelfand-Kirillov dimension of differential difference algebras. We give a lower bound ... More

Based on Graph-VAE Model to Predict Student's ScoreMar 08 2019The OECD pointed out that the best way to keep students up to school is to intervene as early as possible [1]. Using education big data and deep learning to predict student's score provides new resources and perspectives for early intervention. Previous ... More

Rigidity of Gradient Shrinking Ricci SolitonsMay 27 2017We prove that a gradient shrinking Ricci soliton with fourth order divergence-free Riemannian tensor is rigid. For the $4$-dimensional case, we show that any gradient shrinking Ricci soliton with fourth order divergence-free Riemannian tensor is either ... More

Community Detection for Multilayer Heterogeneous NetworkMay 17 2017Sep 16 2017Many real world networks consist of multiple types of nodes with edges that are heterogeneous in nature. However, most of the existing work for community detection only focused on homogeneous network consisting of a single layer. In this paper, we propose ... More

Multiplicities of Character Values of Binary Sidel'nikov-Lempel-Cohn-Eastman SequencesFeb 20 2017Binary Sidel'nikov-Lempel-Cohn-Eastman sequences (or SLCE sequences) over F 2 have even period and almost perfect autocorrelation. However, the evaluation of the linear complexity of these sequences is really difficult. In this paper, we continue the ... More

The log-Brunn-Minkowski inequality in $\mathbb{R}^3$Oct 13 2018B\"or\"oczky, Lutwak, Yang and Zhang recently proved the log-Brunn-Minkowski inequality which is stronger than the classical Brunn-Minkowski inequality for two origin-symmetric convex bodies in the plane. This paper establishes the log-Brunn-Minkowski, ... More

A Survey on Multi-Task LearningJul 25 2017Jul 27 2018Multi-Task Learning (MTL) is a learning paradigm in machine learning and its aim is to leverage useful information contained in multiple related tasks to help improve the generalization performance of all the tasks. In this paper, we give a survey for ... More

Gelfand-Kirillov Dimensions of Modules over Differential Difference AlgebrasDec 07 2013Jan 03 2014Differential difference algebras are generalizations of polynomial algebras, quantum planes, and Ore extensions of automorphism type and of derivation type. In this paper, we investigate the Gelfand-Kirillov dimension of a finitely generated module over ... More

Riesz Transform Characterizations of Hardy Spaces Associated to Degenerate Elliptic OperatorsSep 18 2015Let $w$ be a Muckenhoupt $A_2(\mathbb{R}^n)$ weight and $L_w:=-w^{-1}\mathop\mathrm{div}(A\nabla)$ the degenerate elliptic operator on the Euclidean space $\mathbb{R}^n$. In this article, the authors establish the Riesz transform characterization of the ... More

Dirichlet boundary value problems for elliptic operators with measure data: a probabilistic approachApr 05 2018In this paper, we use probabilistic approach to prove that there exists a unique weak solution to the Dirichlet boundary value problem for second order elliptic equations whose coefficients are signed measures, and we will give a probabilistic representation ... More

The relativistic corrections to the fragmentation functions for a heavy quark to $B_c$ and $B_c^{*}$May 08 2019In this paper, we compute the relativistic corrections to the fragmentation functions (FFs) of a heavy quark to $B_c$ and $B_c^*$ within the framework of non-relativistic QCD (NRQCD) factorization. The non-singlet and singlet DGLAP evolution are also ... More

Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classesMar 17 2018Mar 20 2018We study a rich family of robustly non-hyperbolic transitive diffeomorphisms and we show that each ergodic measure is approached by hyperbolic sets in weak$*$-topology and in entropy. For hyperbolic ergodic measures, it is a classical result of A. Katok. ... More

A Tight Lower Bound for Streett ComplementationFeb 15 2011Sep 18 2011Finite automata on infinite words ($\omega$-automata) proved to be a powerful weapon for modeling and reasoning infinite behaviors of reactive systems. Complementation of $\omega$-automata is crucial in many of these applications. But the problem is non-trivial; ... More

On the hopping pattern design for D2D discovery with invariantAug 06 2014In this paper, we focus on the hopping pattern design for device-to-device (D2D) discovery. The requirements of hopping pattern is discussed, where the impact of specific system constraints, e.g., frequency hopping, is also taken into consideration. Specifically ... More

Adaptive Model Predictive Control for A Class of Constrained Linear Systems with Parametric UncertaintiesJan 13 2019This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We first propose ... More

Existence and uniqueness of invariant measures for SPDEs with two reflecting wallsMar 30 2012In this article, we study stochastic partial differential equations with two reflecting walls, driven by space-time white noise with non-constant diffusion coefficients under periodic boundary conditions. The existence and uniqueness of invariant measures ... More

Policy Optimization with Stochastic Mirror DescentJun 25 2019Stochastic mirror descent (SMD) keeps the advantages of simplicity of implementation, low memory requirement, and low computational complexity. However, the non-convexity of objective function with its non-stationary sampling process is the main bottleneck ... More

Hydrodynamical response of plane correlation in Pb+Pb collisions at $\sqrt{s_\text{NN}}$=2.76 TeVJun 18 2019In high energy heavy-ion collisions, the final anisotropic flow coefficients and their corresponding event-plane correlations are considered as the medium evolutional response to the initial geometrical eccentricities and their corresponding participant-plane ... More