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Minimal $P$-symmetric periodic solutions of nonlinear Hamiltonian systemsJun 14 2016In this paper some existence results for the minimal P-symmetric periodic solutions are proved for first order autonomous Hamiltonian systems when the Hamiltonian function is superquadratic, asymptotically linear and subquadratic. These are done by using ... More

Subharmonic solutions of first order Hamiltonian systems with subquadratic conditionDec 24 2016Using a homologically link theorem in variational theory and iteration inequalities of Maslov-type index, we prove the existences of a sequence of subharmonic solutions for one type of sub-quadratic non-autonomous Hamiltonian systems. Moreover, we also ... More

Application of Bounded Total Variation Denoising in Urban Traffic AnalysisAug 04 2018Feb 25 2019While it is believed that denoising is not always necessary in many big data applications, we show in this paper that denoising is helpful in urban traffic analysis by applying the method of bounded total variation denoising to the urban road traffic ... More

Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power UnitsMar 14 2019Deep neural networks with rectified linear units (ReLU) get very popular recently due to its universal representation power and successful applications. In this paper, we show that deep networks with rectified power units (RePU) can give better approximations ... More

Dual morse index estimates and application to Hamiltonian systems with P-boundary conditionsJun 14 2016In this paper, we study the multiplicity of Hamiltonian systems with P-boundary conditions.

Representations and cohomologies of Hom-pre-Lie algebrasFeb 20 2019In this paper, first we study dual representations and tensor representations of Hom-pre-Lie algebras. Then we develop the cohomology theory of Hom-pre-Lie algebras in term of the cohomology theory of Hom-Lie algebras. As applications, we study linear ... More

Restricted Sumsets in Finite Nilpotent GroupsJun 27 2012Aug 21 2012Suppose that $A,B$ are two non-empty subsets of the finite nilpotent group $G$. If $A\not=B$, then the cardinality of the restricted sumset $$A\dotplus B={a+b: a\in A, b\in B, a\neq b} $$ is at least $$\min{p(G),|A|+|B|-2},$$ where $p(G)$ denotes the ... More

A generalization of Frieman's 3k-3 theoremAug 18 2013Sep 12 2016We prove a generalization of Frieman's $3k-3$ theorem for the sumset $$ \Sigma^{l}(A_1,\ldots,A_k)=\{a_{j_{1}}+\cdots+a_{j_{l}}:\,1\leq j_{1}<\cdots<j_{l}\leq k,\ a_{j_{s}}\in A_{j_{s}}\text{ for all }s\}. $$

Optimize transfer learning for lung diseases in bronchoscopy using a new concept: sequential fine-tuningFeb 10 2018Bronchoscopy inspection as a follow-up procedure from the radiological imaging plays a key role in lung disease diagnosis and determining treatment plans for the patients. Doctors needs to make a decision whether to biopsy the patients timely when performing ... More

A Generalization of Fueter's Theorem in Dunkl-Clifford AnalysisFeb 10 2011In this paper we first offer an alternative approach to extend the original Fueter's Theorem in Dunkl-Clifford analysis to a version of the higher order case. Then this result is used to prove a generlized version of Fueter's Theorem with an extra homogeneous ... More

Local fluctuations of the signed traded volumes and the dependencies of demands: a copula analysisJun 28 2017Apr 03 2018We investigate how the local fluctuations of the signed traded volumes affect the dependence of demands between stocks. We analyze the empirical dependence of demands using copulas and show that they are well described by a bivariate $\mathcal{K}$ copula ... More

On the Near Horizon Canonical Quantum Microstates from $AdS_2/CFT_1$ and Conformal Weyl GravityJul 18 2017We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the Conformal Weyl Gravity formalism. We do this within an $AdS_2/CFT_1$ correspondence and by performing a Robinson-Wilczek two dimensional ... More

Real-Space Renormalization Group for Spectral Properties of Hierarchical NetworksMay 24 2015Oct 07 2015We derive the determinant of the Laplacian for the Hanoi networks and use it to determine their number of spanning trees (or graph complexity) asymptotically. While spanning trees generally proliferate with increasing average degree, the results show ... More

Existence and boundary asymptotic behavior of large solutions of Hessian equationsOct 30 2018Nov 01 2018In this paper, we establish the existence of large solutions of Hessian equations and obtain a new boundary asymptotic behavior of solutions.

Generating functions from the viewpoint of Rota-Baxter algebrasJan 15 2013We study generating functions in the context of Rota-Baxter algebras. We show that exponential generating functions can be naturally viewed in a very special case of complete free commutative Rota-Baxter algebras. This allows us to use free Rota-Baxter ... More

Physical properties of KMgBi single crystalOct 09 2016KMgBi single crystals are successfully grown using Bi flux. Transport measurements show that KMgBi exhibits semiconducting behavior with resistivity plateau at low temperature, suggesting KMgBi could be a topological insulator with a very small band gap. ... More

Filtered Channel Features for Pedestrian DetectionJan 23 2015This paper starts from the observation that multiple top performing pedestrian detectors can be modelled by using an intermediate layer filtering low-level features in combination with a boosted decision forest. Based on this observation we propose a ... More

Type-I superconductivity in KBi2 single crystalsNov 10 2015We report the detailed transport, magnetic, thermodynamic properties and theoretical calculation of KBi2 single crystals in superconducting and normal states. KBi2 shows metallic behavior at normal state and enters superconducting state below Tc = 3.573 ... More

A Flexible Spatial Autoregressive Modelling Framework for Mixed Covariates of Multiple Data TypesNov 07 2018Mixed spatial autoregressive (SAR) models with numerical covariates have been well studied. However, as non-numerical data, such as functional data and compositional data, receive substantial amounts of attention and are applied to economics, medicine ... More

Critical current density and vortex pinning mechanism of Lix(NH3)yFe2Te1.2Se0.8 single crystalsJun 07 2017Sep 19 2017We grew Lix(NH3)yFe2Te1.2Se0.8 single crystals successfully using the low-temperature ammonothermal method and the onset superconducting transition temperature Tc,onset is increased to 21 K when compared to 14 K in the parent compound FeTe0.6Se0.4. The ... More

Feature Affinity based Pseudo Labeling for Semi-supervised Person Re-identificationMay 16 2018Person re-identification aims to match a person's identity across multiple camera streams. Deep neural networks have been successfully applied to the challenging person re-identification task. One remarkable bottleneck is that the existing deep models ... More

Does Quantum Interference exist in Twitter?Jul 04 2011It becomes more difficult to explain the social information transfer phenomena using the classic models based merely on Shannon Information Theory (SIT) and Classic Probability Theory (CPT), because the transfer process in the social world is rich of ... More

Natural Scene Recognition Based on Superpixels and Deep Boltzmann MachinesJun 24 2015The Deep Boltzmann Machines (DBM) is a state-of-the-art unsupervised learning model, which has been successfully applied to handwritten digit recognition and, as well as object recognition. However, the DBM is limited in scene recognition due to the fact ... More

Electric-triple-layer model based AC electroosmosis flowJun 21 2010Feb 02 2012The paper presents an novel electric triple layer(ETL) model as an improved model of electrical double layer(EDL) to predict electroosmosis flow rate on the electrode surface at low frequency. The predicted slip velocity based on classical EDL theory ... More

Tensor Powers of the Defining Representation of $S_n$Aug 21 2015Feb 05 2016We give a decomposition formula for tensor powers of the defining representation of $S_n$ and apply it to bound the mixing time of a Markov chain on $S_n$.

Transport Theory of Heavy Flavor in Relativistic Nuclear CollisionsNov 13 2015A short overview is presented for the recent progress in the theory of heavy flavor transport in ultra-relativistic nuclear collisions, including a summary of different transport models, their phenomenological results of heavy meson quenching and flow ... More

Two Propositions Involving the Standard Representation of $S_n$Feb 10 2013We present here two standalone results from a forthcoming work on the analysis of Markov chains using the representation theory of $S_n$. First, we give explicit formulas for the decompositions of tensor powers of the defining and standard representations ... More

Trading strategies for stock pairs regarding to the cross-impact costJan 11 2017Jul 06 2017We extend the framework of trading strategies of Gatheral [2010] from single stocks to a pair of stocks. Our trading strategy with the executions of two round-trip trades can be described by the trading rates of the paired stocks and the ratio of their ... More

On Spectrum and Infrastructure Sharing in Multi-Operator Cellular NetworksAug 22 2016In this paper, we introduce a mathematical framework for analyzing and optimizing multi-operator cellular networks that are allowed to share spectrum licenses and infrastructure elements. The proposed approach exploits stochastic geometry for modeling ... More

Enhanced superconductivity and anisotropy of FeTe0.6Se0.4 single crystals with Li-NH3 intercalationAug 17 2017Dec 09 2017We report a systematic study of anisotropy resistivity, magnetoresistance and Hall effect of Li0.32(NH3)yFe2Te1.2Se0.8 single crystals. When compared to the parent compound FeTe0.6Se0.4, the Li-NH3 intercalation not only increases the superconducting ... More

DCLab: A Web-based System for Digital Logic Experiment TeachingOct 23 2018This Research-to-Practice Work in Progress paper presents DCLab, a web-based system for conducting digital logic experiments online, to improve both the effectiveness and the efficiency of digital logic experiment teaching. DCLab covers all experimental ... More

ReS2-based field-effect transistors and photodetectorsMar 06 2015Atomically-thin two-dimensional (2D) layered transition metal dichalcogenides (TMDs) have been extensively studied in recent years because of their appealing electrical and optical properties. Here, we report on the fabrication of ReS2 field-effect transistors ... More

The Griffiths Phase on Hierarchical Modular Networks with Small-world EdgesAug 25 2016Sep 04 2016The Griffiths phase has been proposed to induce a stretched critical regime that facilitates self-organizing of brain networks for optimal function. This phase stems from the intrinsic structural heterogeneity of brain networks, such as the hierarchical ... More

Smallest Irreducible of the Form $x^2-dy^2$Mar 01 2016It is a classical result that prime numbers of the form $x^2+ny^2$ can be characterized via class field theory for an infinite set of $n$. In this paper we derive the function field analogue of the classical result. Then we apply an effective version ... More

Simple Models of the Protein Folding ProblemDec 26 1999The protein folding problem has attracted an increasing attention from physicists. The problem has a flavor of statistical mechanics, but possesses the most common feature of most biological problems -- the profound effects of evolution. I will give an ... More

Derivations of the two-parameter quantized enveloping algebra $\U$Jun 09 2011Let $r,s$ be two parameters chosen from $\C^{\ast}$ such that $r^{m}s^{n}=1$ implies $m=n=0$. We compute the derivations of the two-parameter quantized enveloping algebra $\U$ and calculate its first degree Hochschild cohomology group. We further determine ... More

A Counter Example of Invariant Deformation QuantizationNov 29 2004In this note, we will show one example of hamiltonian Lie algebra action which has no invariant star product.

Constructing irreducible representations of quantum groups $U_{q}(f_{m}(K))$Oct 29 2006Mar 26 2008In this paper, we construct families of irreducible representations for a class of quantum groups $U_{q}(f_{m}(K))$. First, we give a natural construction of irreducible weight representations for $U_{q}(f_{m}(K))$ using methods in spectral theory developed ... More

Weighted local Hardy spaces and their applicationsApr 29 2010In this paper, we study weighted local Hardy spaces $h^p_\wz(\rz)$ associated with local weights which include the classical Muckenhoupt weights. This setting includes the classical local Hardy space theory of Goldberg \cite{g}, and the weighted Hardy ... More

Biderivations and commutative post-Lie algebra structure on the Schrödinger-Virasoro Lie algebraNov 13 2016Dec 19 2016In this paper, we characterize the biderivations of Schr\"odinger-Virasoro Lie algebra. We get a classes of non-inner and non-skewsymmetric biderivations. As application, we characterize the commutative post-Lie algebra structures on Schr\"odinger-Virasoro ... More

Congruences modulo powers of 5 for $k$-colored partitionsNov 07 2017Let $p_{-k}(n)$ enumerate the number of $k$-colored partitions of $n$. In this paper, we establish some infinite families of congruences modulo 25 for $k$-colored partitions. Furthermore, we prove some infinite families of Ramanujan-type congruences modulo ... More

Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometryFeb 09 2010Feb 22 2011In this paper we prove a concentration theorem for arithmetic $K_0$-theory, this theorem can be viewed as an analog of R. Thomason's result in the arithmetic case. We will use this arithmetic concentration theorem to prove a relative fixed point formula ... More

Stochastic Coupon Probing in Social NetworksJul 07 2018In this paper, we study stochastic coupon probing problem in social networks. Assume there is a social network and a set of coupons. We can offer coupons to some users adaptively and those users who accept the offer will act as seeds and influence their ... More

Towards Robust Monitoring of Stealthy DiffusionApr 16 2018In this work, we introduce and study the \emph{$(\alpha, \beta)$-Monitoring} game on networks. Our game is composed of two parties an attacker and a defender. The attacker can launch an attack by distributing a limited number of seeds (i.e., virus) to ... More

Algebraic monodromy groups of $l$-adic representations of $\mathrm{Gal}({\overline{\mathbb Q}}/{\mathbb Q})$Apr 07 2018Nov 26 2018In this paper we prove that for any connected reductive algebraic group G and a large enough prime $l$, there are continuous homomorphisms $$\mathrm{Gal}(\bar\mathbb Q/\mathbb Q) \to G(\bar\mathbb Q_l)$$ with Zariski-dense image, in particular we produce ... More

Order and Chaos: Collective Behavior of Crowded Drops in Microfluidic SystemsJan 10 2018Sindy Tang is assistant professor at in the Department of Mechanical Engineering at Stanford University. In this contribution she describes how her team uses droplet microfluidics to identify bacteria that could increase the efficiency of generation of ... More

Impurities and Defects in Mott SystemsAug 14 2018Disorder has intriguing consequences for correlated electronic materials, which include several families of high-temperature superconductors and resistive switching systems. We address the question of why strongly correlated d-wave superconductors, such ... More

Localization theorem for higher arithmetic K-theoryNov 23 2014Jul 02 2015Quillen's localization theorem is well known as a fundamental theorem in the study of algebraic K-theory. In this paper, we present its arithmetic analogue for the equivariant K-theory of arithmetic schemes, which are endowed with an action of certain ... More

New super-quadratic conditions for asymptotically periodic Schrödinger equationJul 10 2015This paper is dedicated to studying the semilinear Schr\"odinger equation $\left\{\begin{array}{ll}-\Nabla u+V(x)u=f(x, u), \ \ \ \ x\in {\R}^{N},u\in H^{1}({\R}^{N}),\end{array}\right.$ where $f$ is a superlinear, subcritical nonlinearity. It focuses ... More

Two-Hop Walks Indicate PageRank OrderMar 09 2019This paper shows that pairwise PageRank orders emerge from two-hop walks. The main tool used here refers to a specially designed sign-mirror function and a parameter curve, whose low-order derivative information implies pairwise PageRank orders with high ... More

Biderivations of finite dimensional complex simple Lie algebrasOct 12 2016Oct 13 2016In this paper, we prove that the biderivation of finite dimensional complex simple Lie algebra without the restriction of skew-symmetric is inner. As applications, we characterize the biderivation of general linear Lie algebra, it is a non-inner and non-skew-symmetric ... More

Elliptic Flow From Au+Au Collisions at 200 GeVAug 19 2003This paper presents results of elliptic flow measurements at moderate high transverse momentum in Au+Au collisions using the STAR detector at RHIC. Sizable $v_{2}$ is found up to 7 GeV/c in transverse momentum. Non-flow effects are discussed comparing ... More

Biderivations of finite dimensional complex simple Lie algebrasOct 12 2016Oct 15 2016In this paper, we prove that the biderivation of finite dimensional complex simple Lie algebra without the restriction of skewsymmetric is inner. As applications, we characterize the biderivation of general linear Lie algebra, it is a non-inner and non-skewsymmetric ... More

Closed-form REML estimators and sample size determination for mixed effects models for repeated measures under monotone missingnessNov 01 2016We derive the closed-form restricted maximum likelihood (REML) estimator and Kenward-Roger's variance estimator for fixed effects in the mixed effects model for repeated measures (MMRM) when the missing data pattern is monotone. As an important application ... More

Automorphisms for Some "symmetric" Multiparameter Quantized Weyl Algebras and Their LocalizationsOct 06 2016In this paper, we study the algebra automorphisms and isomorphisms for a family of "symmetric" multiparameter quantized Weyl algebras $\A$ and some related algebras in the generic case. First, we compute the Nakayama automorphism for $\A$ and give a necessary ... More

Down-up algebras defined over a polynomial base ring $\K[t_{1}, \cdots, t_{n}]$Mar 26 2014In this paper, we study a class of down-up algebras $\A$ defined over a polynomial base ring $\K[t_{1}, \cdots, t_{n}]$ and establish several analogous results. We first construct a $\K-$basis for the algebra $\A$. As a result, we prove that the Gelfand-Kirillov ... More

Effect of histamine on the electric activities of cerebellar Purkinje cellJan 31 1999The effect of histamine (HA) on the electric activities of Purkinje cell (PC) is studied on the cerebellum slice. We find that: (1) HA's main effect on PC is excitative (72.9%); there are also a small amount of PC showing inhibitive (10.2%) or no (16.9%) ... More

Continuous-stage Runge-Kutta-NystrÖm methodsJul 09 2018Jul 25 2018We develop continuous-stage Runge-Kutta-Nystr\"Om (csRKN) methods in this paper. By leading weight function into the formalism of csRKN methods and modifying the original pattern of continuous-stage methods, we establish a new and larger framework for ... More

Biderivations and commutative post-Lie algebra structures on the Lie algebra W(a,b)Dec 26 2017Jan 02 2018For $a,b\in \mathbb{C}$, the Lie algebra $\mathcal{W}(a,b)$ is the semidirect product of the Witt algebra and a module of the intermediate series. In this paper, all biderivations of $\mathcal{W}(a,b)$ are determined. Surprisingly, these Lie algebras ... More

Removing a ray from a noncompact symplectic manifoldDec 02 2018Mar 10 2019We prove that any noncompact symplectic manifold which admits a properly embedded ray with a wide neighborhood is symplectomorphic to the complement of the ray by constructing an explicit symplectomorphism in the case of the standard Euclidean space. ... More

Robust Consensus Tracking of Heterogeneous Multi-Agent Systems under Switching TopologiesAug 13 2015In this paper, we consider a robust consensus tracking problem of heterogeneous multi-agent systems with time-varying interconnection topologies. Based on common Lyapunov function and internal model techniques, both state and output feedback control laws ... More

The Non-uniform Fast Fourier Transform in Computed TomographyMay 17 2016This project is aimed at designing the fast forward projection algorithm and also the backprojection algorithm for cone beam CT imaging systems with circular X-ray source trajectory. The principle of the designs is based on utilizing the potential computational ... More

Post-Lie algebra structures on the Witt algebraJan 01 2017Aug 19 2017In this paper, we characterize the graded post-Lie algebra structures and a class of shifting post-Lie algebra structures on the Witt algebra. We obtain some new Lie algebras and give a class of their modules. As an application, the homogeneous Rota-Baxter ... More

Automorphisms of the two-parameter Hopf algebra $\V$Jun 09 2011We determine the group of algebra automorphisms for the two-parameter quantized enveloping algebra $\V$. As an application, we prove that the group of Hopf algebra automorphisms for $\V$ is isomorphic to a torus of rank two.

Collective Dynamics at RHICJan 23 2007The property of the ``perfect liquid'' created at RHIC is probed with anisotropic flow measurements. Different initial conditions and their consequences on flow measurements are discussed. The collectivity is shown to be achieved fast and early. The thermalization ... More

Topics in Hadronic PhysicsSep 15 2002This work is a pedagogical introduction to the Lund string fragmentation model and the Feynman-Field hadron production model. Derivations of important formulas are worked out in details whenever possible. An example is given to show how to evaluate the ... More

Beam Energy Dependence of Clan Multiplicity at RHICJul 10 2014In this paper, STAR's measurement of clan multiplicity is presented for AuAu collisions at $\sqrt{s_\mathrm{NN}}$ = 7.7, 11.5, 19.6, 27, 39, 62.4 and 200 GeV, for a variety of centrality classes. The mean number of particles per clan is found to decrease ... More

Footprints of the (Nearly) Perfect LiquidJul 26 2009Sep 24 2009In relativistic heavy-ion collisions, the system has gone through a series of evolution, almost at every stage of its evolution it leaves behind footprints in flow observable. Those footprints contain valuable information of the bulk property of the (nearly) ... More

Flow Results and Hints of Incomplete ThermalizationAug 15 2008Aug 18 2008We classified $v_2$ measurements according to their sensitivities w.r.t. to two planes, namely, reaction plane and participant plane. Likewise, in $v_2/\epsilon$ scaling, we showed that one needs to choose a $\epsilon$ that is sensitive to the same plane ... More

Chiral Perturbation on the LightfrontAug 25 2003A new geometrical interpretation of chiral perturbation theory based on topological QCD is presented in picture format. This work is a written summary of a talk given at NAPP 2003 in Dubrovnik, Croatia.

Biderivations and commutative post-Lie algebra structure on the Schrödinger-Virasoro Lie algebraNov 13 2016In this paper, we characterize the biderivations of Schr\"{o}dinger-Virasoro Lie algebra. We get a classes of non-inner and non-skewsymmetric biderivations. As application, we characterize the commutative post-Lie algebra structures on Schr\"{o}dinger-Virasoro ... More

Biderivations of W-algebra $W(2,2)$ and Virasoro algebra without skewsymmetric conditionOct 26 2016In this paper, we characterize the biderivations of W-algebra $W(2,2)$ and Virasoro algebra $Vir$ without skewsymmetric condition. We get two classes of non-inner biderivations. As applications, we also get the forms of linear commuting maps on W-algebra ... More

Biderivations of W-algebra $W(2,2)$ and Virasoro algebra without skewsymmetric conditionOct 26 2016Oct 29 2016In this paper, we characterize the biderivations of W-algebra $W(2,2)$ and Virasoro algebra $Vir$ without skewsymmetric condition. We get two classes of non-inner biderivations. As applications, we also get the forms of linear commuting maps on W-algebra ... More

A note on Q-algebra and quantizationAug 17 2005Nov 06 2005In this note, we study Schwarz's conjecture on application of Q-algebras to strict quantization. We prove that in the case of a torus with a constant Poisson structure, Schwarz's formalism gives the same star product as Rieffel \cite{rif:quantization}. ... More

Local Homology and Local CohomologyNov 20 2004Let $(R, {\frak m})$ be a local ring, $I$ a proper ideal of $R$ and $M$ a finitely generated $R$-module of dimension $d$. We discuss the local homology modules of $H^d_I(M)$. When $M$ is Cohen-Macaulay, it is proved that $H^d_{{\frak m}}(M)$ is co-Cohen-Macaulay ... More

Weighted norm inequalities, spectral multipliers and Littlewood-Paley operators in the Schrödinger settingsMar 02 2012In this paper, we establish a good-$\lz$ inequality with two parameters in the Schr\"odinger settings. As it's applications, we obtain weighted estimates for spectral multipliers and Littlewood-Paley operators and their commutators in the Schr\"odinger ... More

Extrapolation from $A_\fz^{ρ,\fz}$, vector-valued inequalities and applications in the Schrödinger settingsSep 01 2011In this paper, we generalize the $A_\fz$ extrapolation theorem in \cite{cmp} and the $A_p$ extrapolation theorem of Rubio de Francia to Schr\"odinger settings. In addition, we also establish the weighted vector-valued inequalities for Schr\"odinger type ... More

Weighted norm inequalities for commutators of Littlewood-Paley functions related to Schrödinger operatorsSep 01 2011Let $L=-\Delta+V$ be a Schr\"{o}dinger operator, where $\Delta $ is the Laplacian operator on $\rz$, while the nonnegative potential $V$ belongs to certain reverse H\"{o}lder class. In this paper, we establish some weighted norm inequalities for commutators ... More

First-principles calculations of spin-triplet andreev reflection spectra at half-metallic ferromagnet/superconductor interfaceJun 12 2013Combining the first-principles noncollinear calculations of scattering matrices with Andreev approximation, we investigated the spin-triplet Andreev reflection (AR) spectra for the interface between half-metallic ferromagnet Co$_{2}$MnSi and \emph{s}-wave ... More

A characterization of weighted local Hardy spacesMay 06 2010In this paper, we give a characterization of weighted local Hardy spaces $h^1_\wz(\rz)$ associated with local weights by using the truncated Reisz transforms, which generalizes the corresponding result of Bui in \cite{b}.

Search for Massive Bosons Decaying to Wg and Zg Using the ATLAS DetectorOct 01 2017The Standard Model is by far the most encompassing physics theory. With the recent discovery of the Higgs Boson, the Standard Model has performed extremely well against experimental data. However, the theory is intrinsically not complete, it does not ... More

Energy-preserving integration of non-canonical Hamiltonian systems by continuous-stage methodsSep 06 2018As is well known, energy is generally deemed as one of the most important physical invariants in many conservative problems and hence it is of remarkable interest to consider numerical methods which are able to preserve it. In this paper, we are concerned ... More

Recent Results from the Daya Bay Neutrino ExperimentDec 01 2015The Daya Bay neutrino experiment has recently updated the oscillation analysis results with 621 days of data in 2015, which has 3.6 times more statistics than the previous publication in 2014. The relative $\bar{\nu}_{e}$ rate and spectrum measurement ... More

Probing the Nucleon's Transversity Via Two-Meson Production in Polarized Nucleon-Nucleon CollisionsJul 30 1998We explore the possibility of probing the nucleon's transversity distribution $\delta q(x)$ through the final state interaction between two mesons ($\pi^+\pi^-$, $\pi K$, or $K\bar K$) produced in transversely polarized nucleon-nucleon collisions. We ... More

Weighted norm inequalities for pseudo-differential operators with smooth symbols and their commutatorsJun 24 2010We obtain weighted $L^p$ inequalities for pseudo-differential operators with smooth symbols and their commutators by using a class of new weight functions which include Muckenhoupt weight functions. Our results improve essentially some well-known results. ... More

Principal series representations of metaplectic groupsJun 16 2017Nov 23 2017We study the principal series representations of central extensions of a split reductive algebraic group by a cyclic group of order $n$. We compute the Plancherel measure of the representation using Eisenstein series and a comparison method. In addition, ... More

Action of Intertwining operators on pseudospherical K-typesOct 07 2015In this paper, we give a concrete description of the two-fold cover of a simply connected, split real reductive group and its maximal compact subgroup as Chevalley groups. We define a representation of the maximal compact subgroup called pseudospherical ... More

Novel Features of Gamma Ray from Dark MatterDec 10 2015In this study, we present some general and novel features of gamma ray from dark matter. We find that gamma-ray spectra with sharp features exist in a wide class of dark matter models and mimic the gamma line signals. The generated gamma rays would generally ... More

Cycles in the de Rham cohomology of abelian varieties over number fieldsOct 05 2015Jan 03 2016In his 1982 paper, Ogus defined a class of cycles in the de Rham cohomology of smooth proper varieties over number fields. This notion is a crystalline analogue of $\ell$-adic Tate cycles. In the case of abelian varieties, this class includes all the ... More

No Time to Observe: Adaptive Influence Maximization with Partial FeedbackSep 01 2016In this paper, we investigate the adaptive influence maximization problem in social networks with partial feedback. Although the influence maximization problem problem has been extensively studies over the past ten years, majority of existing work fall ... More

MKN Theory of Bound StatesMar 02 2001Mar 19 2001This paper derives most of the formulas in the MKN (Maung-Kahana-Norbury) Theory of bound states which incorporates the Lande Subtraction method to remove the singularities of the Cornell potential.

Directed and Elliptic Flow at RHICSep 28 2004Nov 15 2004We present the directed flow measurement ($v_1$) from Au+Au collisions at $\sqrtsNN = 62$ GeV. Over the pseudorapidity range we have studied, which covers $\eta$ from -1.2 to 1.2 and $2.4 < |\eta| < 4$, the magnitude of $v_1$ for charged particles is ... More

Topological QCD with a TwistSep 22 2003Oct 02 2003Non-supersymmetric Yang-Mill gauge theory in 4-dimension is shown to be dual to 4-dimensional non-supersymmetric string theory in a twisted AdS2(n)xT2 spacetime background. The partition function of a generic hadron is calculated to illustrate the mathematical ... More

Algebra endomorphisms and Derivations of Some Localized Down-Up AlgebrasMar 26 2014We study algebra endomorphisms and derivations of some localized down-up algebras $\A$. First, we determine all the algebra endomorphisms of $\A$ under some conditions on $r$ and $s$. We show that each algebra endomorphism of $\A$ is an algebra automorphism ... More

Two-Parameter Quantum Groups and Ringel-Hall algebras of $A_{\infty}-$typeJun 09 2011Jul 04 2011In this paper, we study the two-parameter quantum group $U_{r,s}(\mathfrak sl_{\infty})$ associated to the Lie algebra $\mathfrak sl_{\infty}$ of infinite rank. We shall prove that the two-parameter quantum group $U_{r,s}(\mathfrak sl_{\infty})$ admits ... More

Fractal Dimension of Julia Set for Non-analytic MapsFeb 27 1998Apr 17 1998The Hausdorff dimensions of the Julia sets for non-analytic maps: f(z) = z^2 + epsilon z^* and f(z) = {z^*}^2 + epsilon are calculated perturbatively for small epsilon. It is shown that Ruelle's formula for Hausdorff dimensions of analytic maps can not ... More

J/psi production at high pT at STARDec 01 2010We report results on J/psi-hadron azimuthal angular correlations in 200 GeV p+p collision in the STAR experiment at RHIC. The extracted B-hadron feed-down contribution to inclusive J/psi yield is found to be 10-25% in 4<p_T<12 GeV/c and has no significant ... More

The eigenvalues of stochastic blockmodel graphsMar 30 2018We derive the limiting distribution for the largest eigenvalues of the adjacency matrix for a stochastic blockmodel graph when the number of vertices tends to infinity. We show that, in the limit, these eigenvalues are jointly multivariate normal with ... More

Finite and infinite Mallows ranking models, maximum likelihood estimator, and regenerationAug 26 2018In this paper we are concerned with various Mallows ranking models. First we study the statistical properties of the MLE of Mallows' $\phi$ model: $\mathbb{P}_{\theta, \pi_0}(\pi) \propto \exp(-\theta \, inv(\pi \circ \pi_0^{-1}))$, where $\theta$ is ... More

Energy-preserving continuous-stage Runge-Kutta-Nyström methodsAug 25 2018Many practical problems can be described by second-order system $\ddot{q}=-M\nabla U(q)$, in which people give special emphasis to some invariants with explicit physical meaning, such as energy, momentum, angular momentum, etc. However, conventional numerical ... More