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$C^*-$crossed product of groupoid actions on categoriesOct 18 2007Suppose that $G$ is a groupoid acting on a small category $H$ in the sense of \cite[Definition 4]{NOT} and $H\times_\alpha G$ is the resulting semi-direct product category (as in \cite[Proposition 8]{NOT}). We show that there exists a subcategory $H_r ... More

Generating Function in Quantum Mechanics: An Application to Counting ProblemsNov 19 2007In this paper we present a generating function approach to two counting problems in elementary quantum mechanics. The first is to find the total ways of distributing identical particles among different states. The second is to find the degeneracies of ... More

Fitting Formulae for the Effects of Binary Interactions on Lick Indices and Colours of Stellar PopulationsDec 12 2007Dec 17 2007More than about 50% stars of galaxies are in binaries, but most stellar population studies take single star-stellar population (ss-SSP) models, which do not take binary interactions into account. In fact, the integrated peculiarities of ss-SSPs are various ... More

Weak Zariski decompositions and log terminal models for generalized polarized pairsJun 04 2018Jan 28 2019We show that the existence of a birational weak Zariski decomposition for a pseudo-effective generalized polarized lc pair is equivalent to the existence of a generalized polarized log terminal model.

Framelet perturbation and application to nouniform sampling approximation for Sobolev spaceJul 05 2017The Sobolev space $H^{s}(\mathbb{R}^{d})$, where $s > d/2$, is an important function space that has many applications in various areas of research. Attributed to the inertia of a measuring instrument, it is desirable in sampling theory to reconstruct ... More

On accumulation points of pseudo-effective thresholdsDec 11 2018We characterize a $k$-th accumulation point of pseudo-effective thresholds of $n$-dimensional varieties as certain invariant associates to a numerically trivial pair of an $(n-k)$-dimensional variety. This characterization is applied towards Fujita's ... More

On Fujita's conjecture for pseudo-effective thresholdsMay 24 2017Jun 20 2017We show Fujita's spectrum conjecture for $\epsilon$-log canonical pairs and Fujita's log spectrum conjecture for log canonical pairs. Then, we generalize the pseudo-effective threshold of a single divisor to multiple divisors and establish the analogous ... More

Genuine CP-odd Observables at the LHCNov 16 2009We discuss how to construct genuine CP-odd observables at the LHC. We classify the observables according to the even and odd properties under the naive T-transformation (\hat{T}). There are two classes of observables of our interests: CP-odd and \hat{T}-even; ... More

Moment bounds for autocovariance matrices under dependenceSep 24 2018The goal of this paper is to obtain expectation bounds for the deviation of large sample autocovariance matrices from their means under weak data dependence. While the accuracy of covariance matrix estimation corresponding to independent data has been ... More

How young stellar populations affect the ages and metallicities of galaxiesFeb 06 2007Aug 30 2007Some studies show that there are recent star formations in galaxies including early type galaxies. This suggests that we possibly did not obtain the accurate ages and metallicities of the dominating stellar populations of galaxies from colors. We study ... More

How binary interactions affect spectral stellar population synthesisNov 15 2007May 20 2008Single-star stellar population (ssSSP) models are usually used for stellar population studies. However, more than 50% of stars are in binaries and evolve differently from single stars. This suggests that the effects of binary interactions should be considered ... More

Two-step PR-scheme for recovering signals in detectable union of cones by magnitude measurementsSep 21 2018Sep 29 2018Motivated by the research on sampling problems for a union of subspaces (UoS), we investigate in this paper the phase-retrieval problem for the signals that are residing in a union of (finitely generated) cones (UoC for short) in $\mathbb{R}^{n}$. We ... More

An Isochrone Database and a Rapid Model for Stellar Population SynthesisAug 09 2007Mar 11 2008We first presented an isochrone database that can be widely used for stellar population synthesis studies and colour-magnitude diagram (CMD) fitting. The database consists of the isochrones of both single star and binary star simple stellar populations ... More

Colour pairs for constraining the age and metallicity of stellar populationsApr 10 2007Nov 12 2007Using a widely used stellar population synthesis model, we study the ability of using pairs of AB system colours to break the well-known stellar age--metallicity degeneracy and give constraints on the two stellar-population parameters (age and metallicity). ... More

Fitting Formulae for the Effects of Binary Interactions on Lick Indices and Colours of Stellar PopulationsJun 30 2013More than about 50% stars are in binaries, but most stellar population studies take single star stellar population (ssSSP) models, which do not take binary interactions into account. In fact, the integrated peculiarities of ssSSPs are various from those ... More

Small generators of cocompact arithmetic Fuchsian groupsMar 02 2016Jul 22 2017In the study of Fuchsian groups, it is a nontrivial problem to determine a set of generators. Using a dynamical approach we construct for any cocompact arithmetic Fuchsian group a fundamental region in $\mathbf{SL}_2(\mathbb{R})$ from which we determine ... More

Topological invariants in terms of Green's function for the interacting Kitaev chainMay 07 2018May 09 2018The one dimensional closed interacting Kitaev chain and the dimerized version are studied. The topological invariants in terms of Green's function are calculated by the density matrix renormalization group method and the exact diagonalization method. ... More

Comment on "Berry Phase in a Composite System"Sep 17 2007Oct 05 2007We show in this comment that the results obtained in a recent work by Yi et al. [Phys. Rev. Lett. 92, 150406 (2004)] are quantitatively not correct and the proposed subsystem Berry phase is not well-defined.

Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energyMar 27 2017In this paper we will apply the modified potential well method and variational method to the study of the long time behaviors of solutions to a class of parabolic equation of Kirchhoff type. Global existence and blow up in finite time of solutions will ... More

Geometric characterizations of embedding theoremsDec 15 2015The embedding theorem arises in several problems from analysis and geometry. The purpose of this paper is to provide a deeper understanding of analysis and geometry with a particular focus on embedding theorems on spaces of homogeneous type in the sense ... More

Criterion of the boundedness of singular integrals on spaces of homogeneous typeDec 15 2015It was well known that geometric considerations enter in a decisive way in many questions of harmonic analysis. The main purpose of this paper is to provide the criterion of the boundedness for singular integrals on the Hardy spaces and as well as on ... More

Nonequilibrium Excitations and Transport of Dirac Electrons in Electric-Field-Driven GrapheneJan 31 2018May 20 2018We investigate nonequilibrium excitations and charge transport in charge-neutral graphene driven with DC electric field by using the nonequilibrium Green's function technique. Due to the vanishing Fermi surface, electrons are subject to non-trivial nonequilibrium ... More

Remarks on CLEO New Measurements for Upsilon(1S) Decays to Charmonium Final States and Investigations on Associate Strange Particle Enhancement in Upsilon to J/Psi +XJul 22 2006Dec 17 2006The recent measurements by CLEO Collaboration for the inclusive J/Psi and Psi(2S) production in Upsilon(1S) decay and our previous calculation are analyzed. The J/Psi momentum spectrum and the production ratio of Psi(2S) versus J/Psi favour Upsilon to ... More

Applications of Perron-Frobenius Theory to Population DynamicsSep 02 2001By the use of Perron-Frobenius theory, simple proofs are given of the Fundamental Theorem of Demography and of a theorem of Cushing and Yicang on the net reproductive rate occurring in matrix models of population dynamics. The latter result is further ... More

Spectral gap actions and invariant statesApr 26 2013We define spectral gap actions of discrete groups on von Neumann algebras and study their relations with invariant states. We will show that a finitely generated ICC group $\Gamma$ is inner amenable if and only if there exist more than one inner invariant ... More

Spiral wave chimeras in locally coupled oscillator systemsAug 14 2015The recently discovered chimera state involves the coexistence of synchronized and desynchronized states for a group of identical oscillators. This fascinating chimera state has until now been found only in non-local or globally coupled oscillator systems. ... More

Analysis of N-qubit perfectly controlled teleportation schemes from the controller's point of viewOct 07 2014Dec 30 2014We quantitatively analyze and evaluate the controller's power in $N$-qubit controlled teleportation schemes. We calculate the minimum control power required to ensure the controller's authority such that the teleportation fidelity without the controller's ... More

Zero-one law of Hausdorff dimensions of the recurrent setsOct 02 2015Apr 04 2016Let $(\Sigma, \sigma)$ be the one-sided shift space with $m$ symbols and $R_n(x)$ be the first return time of $x\in\Sigma$ to the $n$-th cylinder containing $x$. Denote $$E^\varphi_{\alpha,\beta}=\left\{x\in\Sigma: \liminf_{n\to\infty}\frac{\log R_n(x)}{\varphi(n)}=\alpha,\ ... More

A comparison theorem for the law of large numbers in Banach spacesJun 25 2015Let $(\mathbf{B}, \|\cdot\|)$ be a real separable Banach space. Let $\{X, X_{n}; n \geq 1\}$ be a sequence of i.i.d. {\bf B}-valued random variables and set $S_{n} = \sum_{i=1}^{n}X_{i},~n \geq 1$. Let $\{a_{n}; n \geq 1\}$ and $\{b_{n}; n \geq 1\}$ be ... More

Marcinkiewicz multipliers and Lipschitz spaces on Heisenberg groupsNov 15 2016The Marcinkiewicz multipliers are $L^{p}$ bounded for $1<p<\infty $ on the Heisenberg group $\mathbb{H}^{n}\simeq \mathbb{C}^{n}\times \mathbb{R}$ (M\"uller, Ricci and Stein \cite{MRS}). This is surprising in the sense that these multipliers are invariant ... More

Learning Tree-based Deep Model for Recommender SystemsJan 08 2018Dec 21 2018Model-based methods for recommender systems have been studied extensively in recent years. In systems with large corpus, however, the calculation cost for the learnt model to predict all user-item preferences is tremendous, which makes full corpus retrieval ... More

Lie bialgebra structures on the Schrödinger-Virasoro Lie algebraJan 10 2009Mar 18 2009In this paper we investigate Lie bialgebra structures on the Schr\"odinger-Virasoro algebra $\LL$. Surprisingly, we find out an interesting fact that not all Lie bialgebra structures on the Schr\"odinger-Virasoro algebra are triangular coboundary, which ... More

Comparison of OFDM and Single-Carrier for Large-Scale Antenna SystemsJun 28 2016Large-scale antenna (LSA) or massive multiple-input multiple-output (MIMO) has gained a lot of attention due to its potential to significantly improve system throughput. As a natural evolution from traditional MIMO-orthogonal frequency division multiplexing ... More

Monte Carlo study of thermal fluctuations and Fermi-arc formation in d-wave superconductorsAug 25 2010Mar 27 2011From the perspective of thermal fluctuations, we investigate the pseudogap phenomena in underdoped high-temperature curpate superconductors. We present a local update Monte Carlo procedure based on the Green's function method to sample the fluctuating ... More

Spin-orbit-angular-momentum coupling in a spin-1 Bose-Einstein condensateDec 19 2015We propose a simple model with spin and orbit angular momentum coupling in a spin-1 Bose- Einstein condensate, where three internal atomic states are Raman coupled by a pair of co- propagating Laguerre-Gaussian beams. The resulting Raman transition imposes ... More

T1 theorem on product Carnot-Caratheodory spacesSep 27 2012Nagel and Stein established $L^p$-boundedness for a class of singular integrals of NIS type, that is, non-isotropic smoothing operators of order 0, on spaces $\widetilde{M}=M_1\times...\times M_n,$ where each factor space $M_i, 1\leq i\leq n,$ is a smooth ... More

Complete moment and integral convergence for sums of negatively associated random variablesFeb 19 2008For a sequence of identically distributed negatively associated random variables $\{X_n; n\geq 1\}$ with partial sums $S_n=\sum_{i=1}^nX_i, n\geq 1$, refinements are presented of the classical Baum-Katz and Lai complete convergence theorems. More specifically, ... More

Binary interactions as a possible scenario for the formation of multiple stellar populations in globular clustersMay 26 2014Observations revealed the presence of multiple stellar populations in globular clusters (GCs) that exhibit wide abundance variations and multiple sequences in Hertzsprung-Russell (HR) diagram. We present a scenario for the formation of multiple stellar ... More

The detached-binary channel for the formation of contact binariesNov 24 2013The detached-binary channel is an important channel for the formation of contact binaries, according to which a detached binary might evolve into contact by evolutionary expansion of the components, or angular momentum loss through the effect of magnetic ... More

Continuous User Authentication by Contactless Wireless SensingDec 04 2018This paper presents BodyPIN, which is a continuous user authentication system by contactless wireless sensing using commodity Wi-Fi. BodyPIN can track the current user's legal identity throughout a computer system's execution. In case the authentication ... More

Gaussian Beam Collimation via Transformation MediaMar 27 2013Conventional method for Gaussian beam collimation is to expand the beam waist to achieve a smaller divergence angle. Recent transformation optics offers an unconventional path to control the electromagnetic field. In this paper we show that a Gaussian ... More

The convergence guarantee of the iterative thresholding algorithm with suboptimal feedbacks for large systemsNov 07 2017Thresholding based iterative algorithms have the trade-off between effectiveness and optimality. Some are effective but involving sub-matrix inversions in every step of iterations. For systems of large sizes, such algorithms can be computationally expensive ... More

Fundamental Cycles and Graph EmbeddingsJul 10 2008In this paper we present a new Good Characterization of maximum genus of a graph which makes a common generalization of the works of Xuong, Liu, and Fu et al. Based on this, we find a new polynomially bounded algorithm to find the maximum genus of a graph. ... More

A probability inequality for sums of independent Banach space valued random variablesMar 22 2017Let $(\mathbf{B}, \|\cdot\|)$ be a real separable Banach space. Let $\varphi(\cdot)$ and $\psi(\cdot)$ be two continuous and increasing functions defined on $[0, \infty)$ such that $\varphi(0) = \psi(0) = 0$, $\lim_{t \rightarrow \infty} \varphi(t) = ... More

Nowhere-zero $3$-flow and $\mathbb{Z}_3$-connectedness in Graphs with Four Edge-disjoint Spanning TreesOct 14 2016Given a zero-sum function $\beta : V(G) \rightarrow \mathbb{Z}_3$ with $\sum_{v\in V(G)}\beta(v)=0$, an orientation $D$ of $G$ with $d^+_D(v)-d^-_D(v)= \beta(v)$ in $\mathbb{Z}_3$ for every vertex $v\in V(G)$ is called a $\beta$-orientation. A graph $G$ ... More

The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-Euclidean PlanesMay 09 2018We propose a geometric explanation for the observation that generic quadratic polynomials over split quaternions may have up to six different factorizations while generic polynomials over Hamiltonian quaternions only have two. Split quaternion polynomials ... More

Testability of Type I Seesaw at the CERN LHC: Revealing the Existence of the B-L SymmetryJul 23 2009Oct 14 2009We study the possibility to test the Type I seesaw mechanism for neutrino masses at the CERN Large Hadron Collider. The inclusion of three generations of right-handed neutrinos (N_i) provides an attractive option of gauging the B-L accidental symmetry ... More

Modified dispersion relations and (A)dS Schwarzschild Black holesJul 27 2008Sep 10 2008In this paper we investigate the impact of modified dispersion relations (MDR) on (Anti)de Sitter-Schwarzschild black holes. In this context we find the temperature of black holes can be derived with important corrections. In particular given a specific ... More

PDA: Semantically Secure Time-Series Data Analytics with Dynamic SubgroupsAug 28 2013Sep 25 2015Third-party analysis on private records is becoming increasingly important due to the widespread data collection for various analysis purposes. However, the data in its original form often contains sensitive information about individuals, and its publication ... More

The Effect of Scattering on Pulsar Polarization AngleAug 06 2003The low-frequency profiles of some pulsars manifest temporal broadening due to scattering, usually accompanied by flat polarization position angle (PA) curves. Assuming that the scattering works on the 4 Stokes parameters in the same way, we have simulated ... More

Complementarity between micro-micro and micro-macro entanglement in a Bose-Einstein condensate with two Rydberg impuritiesMar 08 2019We theoretically study complementarity between micro-micro and micro-macro entanglement in a Bose-Einstein condensate with two Rydberg impurities. We investigate quantum dynamics of micro-micro and micro-macro entanglement in the micro-macro system. It ... More

Potential of colors for determining age and metallicity of stellar populationsNov 06 2006Jan 08 2007Colors are usually not used for constraining stellar populations because they are thought to have the well-known agemetallicity degeneracy, but some recent works show that colors can also be used. A simple stellar population synthesis model is widely ... More

The Influence of Binary Interactions in Infrared passbands of populationsJun 21 2010Jun 23 2010In our evolutionary population synthesis models, the samples of binaries are reproduced by the 'patched' Monte Carlo simulation and the stellar masses, integrated J, H, K, L, L2 and M magnitudes, mass-to-light ratios and broad colours involving infrared ... More

Online ICA: Understanding Global Dynamics of Nonconvex Optimization via Diffusion ProcessesAug 29 2018Solving statistical learning problems often involves nonconvex optimization. Despite the empirical success of nonconvex statistical optimization methods, their global dynamics, especially convergence to the desirable local minima, remain less well understood ... More

State transfer in intrinsic decoherence spin channelsOct 07 2011By analytically solving the master equation, we investigate quantum state transfer, creation and distribution of entanglement in the model of Milburn's intrinsic decoherence. Our results reveal that the ideal spin channels will be destroyed by the intrinsic ... More

Stabilization for Networked Control Systems with Simultaneous Input Delay and Markovian Packet LossesAug 21 2018The mean square stabilization problem for discrete-time networked control systems (NCSs) is investigated in this article. What the difference from most previous works is that input delay and packet losses occur simultaneously in the communication channel, ... More

Efficient verification of bipartite pure statesJan 28 2019We propose practical and efficient protocols for verifying bipartite pure states for any finite dimension, which can also be applied to fidelity estimation. Our protocols are based on adaptive local projective measurements with either one-way or two-way ... More

Generalized Fisher Score for Feature SelectionFeb 14 2012Fisher score is one of the most widely used supervised feature selection methods. However, it selects each feature independently according to their scores under the Fisher criterion, which leads to a suboptimal subset of features. In this paper, we present ... More

Relative contravariantly finite subcategories and relative tilting modulesDec 26 2016Let $A$ be a finite dimensional algebra over an algebraically closed field $k$. Let $T$ be a tilting $A$-module and $B={\rm End}_A\ T$ be the endomorphism algebra of $T$. In this paper, we consider the correspondence between the tilting $A$-modules and ... More

Analytical result on the supercurrent through a superconductor/quantum-dot/superconductor junctionNov 26 2001Nov 30 2001We present an analytical result for the supercurrent across a superconductor/quantum-dot/superconductor junction. By converting the current integration into a special contour integral, we can express the current as a sum of the residues of poles. These ... More

A High Throughput Pilot Allocation for M2M Communication in Crowded Massive MIMO SystemsNov 02 2016A new scheme to resolve the intra-cell pilot collision for M2M communication in crowded massive multiple-input multiple-output (MIMO) systems is proposed. The proposed scheme permits those failed user equipments (UEs), judged by a strongest-user collision ... More

Resource Allocation in Full-Duplex Communications for Future Wireless NetworksMay 12 2015The recent significant progress in realizing full-duplex~(FD) systems has opened up a promising avenue for improving quality of service (QoS) and quality of experience (QoE) in future wireless networks. There is an urgent need to address the diverse set ... More

Two Kazdan-Warner type identities for the renormalized volume coefficients and the Gauss-Bonnet curvatures of a Riemannian metricNov 24 2009In this note, we prove two Kazdan-Warner type identities involving $v^{(2k)}$, the renormalized volume coefficients of a Riemannian manifold $(M^n,g)$, and $G_{2r}$, the so-called Gauss-Bonnet curvature, and a conformal Killing vector field on $(M^n,g)$. ... More

Asymptotic joint distribution of extreme eigenvalues and trace of large sample covariance matrix in a generalized spiked population modelJun 23 2019This paper studies the joint limiting behavior of extreme eigenvalues and trace of large sample covariance matrix in a generalized spiked population model, where the asymptotic regime is such that the dimension and sample size grow proportionally. The ... More

A Survey on the Theory of BondsJul 30 2018Many researchers tried to understand/explain the geometric reasons for paradoxical mobility of a mechanical linkage, i.e. the situation when a linkage allows more motions than expected from counting parameters and constraints. Bond theory is a method ... More

Spatial Straight Line Linkages by Factorization of Motion PolynomialsOct 10 2014Oct 13 2014We use the recently introduced factorization of motion polynomials for constructing overconstrained spatial linkages with a straight line trajectory. Unlike previous examples, the end-effector motion is not translational and the link graph is a cycle. ... More

An Extension of Feller's Strong Law of Large NumbersMar 24 2017~This paper presents a general result that allows for establishing a link between the Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers and Feller's strong law of large numbers in a Banach space setting. Let $\{X, X_{n}; n \geq 1\}$ be a sequence ... More

Hardy space theory on spaces of homogeneous type via orthonormal wavelet basesJul 26 2015In this paper, using the remarkable orthonormal wavelet basis constructed recently by Auscher and Hyt\"onen, we establish the theory of product Hardy spaces on spaces ${\widetilde X} = X_1\times X_2\times\cdot \cdot\cdot\times X_n$, where each factor ... More

Higgs production at future $e^+e^-$ colliders in the Georgi-Machacek modelSep 30 2017Feb 02 2018We study how the dominant single and double SM-like Higgs ($h$) production at future $e^+e^-$ colliders is modified in the Georgi-Machacek (GM) model. On imposing theoretical, indirect and direct constraints, significant deviations of $h$-couplings from ... More

Spectrum Quantization and Feedback for Downlink Massive MIMO Systems With Cascaded PrecodingAug 22 2016In this paper, we investigate the quantization and the feedback of downlink statistical channel information for massive multiple-input multiple-output (MIMO) systems with cascaded precoding. Massive MIMO has gained a lot of attention recently because ... More

Binary Stellar Population Synthesis Study of Elliptical GalaxiesMay 24 2006We determine relative stellar ages and metallicities mainly for about 80 elliptical galaxies in low and high density environments via the latest binary stellar population (BSP) synthesis model and test a latest hierarchical formation model of elliptical ... More

Binary Stellar Population Synthesis ModelJun 18 2010Jun 23 2010Using Yunnan evolutionary population synthesis (EPS) models, we present integrated colours, integrated spectral energy distributions (ISEDs) and absorption-line indices defined by the Lick Observatory image dissector scanner (Lick/IDS) system, for an ... More

The Effect of Binary Interactions in Infrared PassbandsJun 18 2010Jun 23 2010We present the integrated J, H, K, L, M and N magnitudes and the colours involving infrared bands, for an extensive set of instantaneous-burst binary stellar populations (BSPs) by using evolutionary population synthesis (EPS). By comparing the results ... More

Strongly Interacting Quantum Gases in One-Dimensional TrapsFeb 05 2015Apr 29 2015Under the second-order degenerate perturbation theory, we show that the physics of $N$ particles with arbitrary spin confined in a one dimensional trap in the strongly interacting regime can be described by super-exchange interaction. An effective spin-chain ... More

A Mean-Field Optimal Control Formulation of Deep LearningJul 03 2018Recent work linking deep neural networks and dynamical systems opened up new avenues to analyze deep learning. In particular, it is observed that new insights can be obtained by recasting deep learning as an optimal control problem on difference or differential ... More

Multi-resolution community detection in massive networksDec 14 2016Dec 17 2016Aiming at improving the efficiency and accuracy of community detection in complex networks, we proposed a new algorithm, which is based on the idea that communities could be detected from subnetworks by comparing the internal and external cohesion of ... More

Two-Layer Mixture Network Ensemble for Apparel Attributes ClassificationJul 11 2018Recognizing apparel attributes has recently drawn great interest in the computer vision community. Methods based on various deep neural networks have been proposed for image classification, which could be applied to apparel attributes recognition. An ... More

Sum Secrecy Rate Maximization for Full-Duplex Two-Way Relay Networks Using Alamouti-based Rank-Two BeamformingAug 28 2016Consider a two-way communication scenario where two single-antenna nodes, operating under full-duplex mode, exchange information to one another through the aid of a (full-duplex) multi-antenna relay, and there is another single-antenna node who intends ... More

Sampling and Representation Complexity of Revenue MaximizationFeb 19 2014Apr 03 2014We consider (approximate) revenue maximization in auctions where the distribution on input valuations is given via "black box" access to samples from the distribution. We observe that the number of samples required -- the sample complexity -- is tightly ... More

Irreducible weight modules with a finite-dimensional weight space over the twisted N=1 Schrödinger-Neveu-Schwarz algebraMar 15 2017It is shown that there are no simple mixed modules over the twisted N=1 Schr\"{o}dinger-Neveu-Schwarz algebra, which implies that every irreducible weight module over it with a nontrivial finite-dimensional weight space, is a Harish-Chandra module.

Assembly and Phase Transitions within Colloidal CrystalsMar 16 2016Nov 09 2017Micrometre sized colloidal particles can be viewed as large atoms with tailorable size, shape and interactions. These building blocks can assemble into extremely rich structures and phases, in which the thermal motions of particles can be directly imaged ... More

Optimal Control for Discrete-time Markov Jump Linear System with Control Input DelayAug 19 2018This paper deals with the finite horizon optimal control problem for discrete-time Markov jump linear system with input delay. The correlation among the jumping parameters and the input delay are considered simultaneously, which forms the basic difficulty ... More

Optimal Control and Stabilization Problem for Discrete-time Markov Jump Systems with Indefinite Weight CostsMar 20 2018It is well known that stability is the most fundamental nature with regard to a control system, in view of this, the stabilization becomes an inevitable control problem. This article mainly discusses the optimal control and stabilization problem for discrete-time ... More

Optimal Stabilization Control for Discrete-time Markov Jump Linear System with Control Input DelayFeb 17 2019This paper will investigate the infinite horizon optimal control and stabilization problems for the Markov jump linear system (MJLS) subject to control input delay. Different from previous works, for the first time, the necessary and sufficient stabilization ... More

Factorization of Motion PolynomialsFeb 26 2015In this paper, we consider the existence of a factorization of a monic, bounded motion polynomial. We prove existence of factorizations, possibly after multiplication with a real polynomial and provide algorithms for computing polynomial factor and factorizations. ... More

Kempe's Universality Theorem for Rational Space CurvesSep 29 2015Feb 11 2017We prove that every bounded rational space curve of degree d and circularity c can be drawn by a linkage with 9/2 d - 6c + 1 revolute joints. Our proof is based on two ingredients. The first one is the factorization theory of motion polynomials. The second ... More

Dynamic Pricing in Shared Mobility on Demand ServiceFeb 10 2018We consider a profit maximization problem in an urban mobility on-demand service, of which the operator owns a fleet, provides both exclusive and shared trip services, and dynamically determines prices of offers. With knowledge of the traveler preference ... More

Directional Compactly supported Box Spline Tight Framelets with Simple StructureAug 28 2017To effectively capture singularities in high-dimensional data and functions, multivariate compactly supported tight framelets, having directionality and derived from refinable box splines, are of particular interest in both theory and applications. The ... More

Effective equidistribution of translates of maximal horospherical measures in the space of latticesApr 15 2016Recently Mohammadi and Salehi-Golsefidy gave necessary and sufficient conditions under which certain translates of homogeneous measures converge, and they determined the limiting measures in the cases of convergence. The class of measures they considered ... More

Depletion interaction between two ellipsoidsDec 22 2013Dec 31 2013The depletion interactions between two ellipsoids in three configurations were studied by both Monte Carlo simulation with the Wang-Landau algorithm and the density functional theory in the curvature expansion approximation. Common features of the depletion ... More

Machine Translation Evaluation: A SurveyMay 15 2016Jun 19 2016This paper introduces the state-of-the-art machine translation (MT) evaluation survey that contains both manual and automatic evaluation methods. The traditional human evaluation criteria mainly include the intelligibility, fidelity, fluency, adequacy, ... More

A Graph Theoretical Approach to Network Encoding ComplexityFeb 03 2012Jan 09 2013Consider an acyclic directed network $G$ with sources $S_1, S_2,..., S_l$ and distinct sinks $R_1, R_2,..., R_l$. For $i=1, 2,..., l$, let $c_i$ denote the min-cut between $S_i$ and $R_i$. Then, by Menger's theorem, there exists a group of $c_i$ edge-disjoint ... More

Pulsars in FIRST ObservationsOct 15 2001We identified 16 pulsars from the Faint Images of the Radio Sky at Twenty-cm (FIRST) at 1.4 GHz. Their positions and total flux densities are extracted from the FIRST catalog. Comparing the source positions with those in the PSRcatalog, we obtained better ... More

Creation of Tunable Homogeneous Thermal Cloak with Constant ConductivityFeb 01 2013Invisible cloak has long captivated the popular conjecture and attracted intensive research in various communities of wave dynamics, e.g., optics, electromagnetics, acoustics, etc. However, their inhomogeneous and extreme parameters imposed by transformation-optic ... More

Evolutionary Population Synthesis for Binary Stellar Population at High Spectral Resolution: Integrated Spectral Energy Distributions and Absorption-feature IndicesAug 30 2005Using EPS we present high resolution (0.3 \AA, HRes) ISEDs from 3000 to 7000 \AA and Lick/IDS absorption-line indices, for an extensive set of instantaneous burst binary stellar populations (BSPs) with binary interactions. The ages of the BSPs are in ... More

Structure and evolution of low mass W UMa type systemsMar 15 2004The structure and evolution of low mass W UMa type contact binaries are discussed by employing Eggleton's stellar evolution code. Assuming that these systems completely satisfy Roche geometry, we calculate the relative radii of both components of contact ... More

Binary interactions and UV photometry on photometric redshiftJun 18 2010Jun 23 2010Using the Hyperz code (Bolzonella et al. 2000) we present photometric redshift estimates for a random sample of galaxies selected from the SDSS/DR7 and GALEX/DR4, for which spectroscopic redshifts are also available. We confirm that the inclusion of ultraviolet ... More

Structure and evolution of low-mass W UMa type systems -- II. with angular momentum lossDec 03 2004In a preceding paper, using Eggleton's evolution code we have discussed the structure and evolution of low-mass W UMa type contact binaries without angular momentum loss (AML). The models exhibit cyclic behavior about a state of marginal contact on a ... More

Permissive Barrier Certificates for Safe Stabilization Using Sum-of-squaresFeb 24 2018Motivated by the need to simultaneously guarantee safety and stability of safety-critical dynamical systems, we construct permissive barrier certificates in this paper that explicitly maximize the region where the system can be stabilized without violating ... More

Spectral shift and dephasing of electromagnetically induced transparency in an interacting Rydberg gasMar 02 2016Oct 14 2016We perform spectroscopic measurements of electromagnetically induced transparency (EIT) in a strongly interacting Rydberg gas, and observe a significant spectral shift of the transparency from the single-atom EIT resonance as well as a spectral dephasing ... More