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Decomposition of Quantum Markov Chains and Zero-error CapacityAug 22 2016Markov chains have been widely applied in information theory and various areas of its applications. Quantum Markov chains are a natural quantum extension of Markov chains. This paper studies irreducibility and periodicity of (discrete time) quantum Markov ... More

A Product Line Systems Engineering Process for Variability Identification and ReductionJun 12 2018Software Product Line Engineering has attracted attention in the last two decades due to its promising capabilities to reduce costs and time to market through reuse of requirements and components. In practice, developing system level product lines in ... More

Individual departure time decision considering departure scheduling utilityApr 24 2013Mar 09 2015The scheduling utility plays a fundamental role in addressing the commuting travel behaviours. In this paper, a new scheduling utility, termed as DMRD-SU, was suggested based on some recent research findings in behavioural economics. DMRD-SU admitted ... More

A Nonlinear Pairwise Swapping Dynamics to Model the Selfish Rerouting Evolutionary GameMay 22 2013Mar 11 2015In this paper, a nonlinear revision protocol is proposed and embedded into the traffic evolution equation of the classical proportional-switch adjustment process (PAP), developing the present nonlinear pairwise swapping dynamics (NPSD) to describe the ... More

$Q|SI\rangle$: A Quantum Programming EnvironmentOct 26 2017This paper describes a quantum programming environment, named $Q|SI\rangle$. It is a platform embedded in the .Net language that supports quantum programming using a quantum extension of the $\mathbf{while}$-language. The framework of the platform includes ... More

Equations for secant varieties of Chow varietiesFeb 13 2016Apr 24 2016The Chow variety of polynomials that decompose as a product of linear forms has been studied for more than 100 years. Finding equations in the ideal of secant varieties of Chow varieties would enable one to measure the complexity the permanent to prove ... More

The Gaussian Correlation Inequality for Symmetric Convex SetsDec 03 2010Mar 02 2013The paper is to prove the Gaussian correlation conjecture stating that, under the standard Gaussian measure, the measure of the intersection of any two symmetric convex sets is greater than or equal to the product of their measures. Characterization of ... More

An Averaging Theorem for Perturbed KdV EquationJan 08 2013We consider a perturbed KdV equation: [\dot{u}+u_{xxx} - 6uu_x = \epsilon f(x,u(\cdot)), \quad x\in \mathbb{T}, \quad\int_\mathbb{T} u dx=0.] For any periodic function $u(x)$, let $I(u)=(I_1(u),I_2(u),...)\in\mathbb{R}_+^{\infty}$ be the vector, formed ... More

The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifoldsMar 10 2014Aug 29 2018We solve the Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds under essentially optimal structure conditions, especially with no restrictions to the curvature of the underlying manifold and the second fundamental form of ... More

Efficient and Robust Density Estimation Using Bernstein Type PolynomialsApr 28 2014Jun 21 2015Method of parameterizing and smoothing the unknown underling distributions using Bernstein polynomials is proposed, verified and investigated. Any distribution with bounded and smooth enough density can be approximated by the proposed model. The approximating ... More

Important Notes on Lyapunov ExponentsJan 14 2014It is shown that the famous Lyapunov exponents cannot be used as the numerical characteristic for distinguishing different kinds of attractors, such as the equilibrium point, the limit closed curve, the stable torus and the strange attractor.

Brill's equations as a GL(V)-moduleAug 10 2015Apr 17 2016The Chow variety of polynomials that decompose as a product of linear forms has been studied for more than 100 years. Brill, Gordon and others obtained set-theoretical equations for the Chow variety. In this article, I compute Brill's equations as a GL(V)-module. ... More

Generalized Floquet Exponent, Attractiveness Portrait and Structure Hidden in an AttractorMar 06 2014The generalized Floquet exponent and the attractiveness portrait (or A-portrait for short) of the attractor and of the smallest invariant closed set are suggested to be used for the study of dynamical systems. Based on the A-portrait, some simple structures ... More

Second Order Estimates and Regularity for Fully Nonlinear Elliptic Equations on Riemannian ManifoldsNov 01 2012We derive a priori second order estimates for solutions of a class of fully nonlinear elliptic equations on Riemannian manifolds under some very general structure conditions. We treat both equations on closed manifolds, and the Dirichlet problem on manifolds ... More

Model Checking Applied to Quantum PhysicsFeb 08 2019Model checking has been successfully applied to verification of computer hardware and software, communication systems and even biological systems. In this paper, we further push the boundary of its applications and show that it can be adapted for applications ... More

Visualizing the elongated vortices in $γ$-Ga nanostripsJan 21 2015Apr 03 2016We study the magnetic response of superconducting $\gamma$-Ga via low temperature scanning tunneling microscopy and spectroscopy. The magnetic vortex cores rely substantially on the Ga geometry, and exhibit an unexpectedly-large axial elongation with ... More

Nonexistence of decreasing equisingular approximations with logarithmic polesJun 15 2015Jun 21 2015In this article, we present that for any complex manifold whose dimension is bigger than one, there exists a multiplier ideal sheaf such that there don't exist equisingular weights with logarithmic poles, which are not smaller than the orginal weight. ... More

Improvement of a Theorem of Lorentz (1963) and its Generalization to the Multivariate CaseSep 27 2016Nov 29 2016In this short note we have proved an enhanced version of a theorem of Lorentz [1] and its generalization to the multivariate case which gives a non- uniform estimate of degree of approximation by a polynomial with positive coefficients. The performance ... More

Improved Channel Estimation with Partial Sparse Constraint for AF Cooperative Communication SystemsJul 30 2012Accurate channel state information (CSI) is necessary for coherent detection in amplify and forward (AF) broadband cooperative communication systems. Based on the assumption of ordinary sparse channel, efficient sparse channel estimation methods have ... More

Polaron, molecule and pairing in one-dimensional spin-1/2 Fermi gas with an attractive Delta-function interactionFeb 14 2012Using solutions of the discrete Bethe ansatz equations, we study in detail the quantum impurity problem of a spin-down fermion immersed into a fully ploarized spin-up Fermi sea with weak attraction. We prove that this impurity fermion in the one-dimensional ... More

Algebraic Bethe ansatz for the one-dimensional Hubbard model with open boundariesAug 03 1999The one-dimensional Hubbard model with open boundary conditions is exactly solved by means of algebraic Bethe ansatz. The eigenvalue of the transfer matrix, the energy spectrum as well as the Bethe ansatz equations are obtained.

Distributing points uniformly on the unit sphere under a mirror reflection symmetry constraintMar 15 2014Apr 15 2014Uniformly distributed point sets on the unit sphere with and without symmetry constraints have been found useful in many scientific and engineering applications. Here, a novel variant of the Thomson problem is proposed and formulated as an unconstrained ... More

Hypersurfaces of Constant Curvature in Hyperbolic Space IIOct 09 2008Dec 14 2008We find complete hypersurfaces of constant curvature in hyperbolic space with a prescribed asymptotic boundary at infinity for a general class of (elliptic) curvature functions which includes the higher order mean curvatures and their curvature quotients. ... More

Complete break-up of the helium atom by proton and antiproton impactJun 10 2009We present a fully {\it ab initio}, non-perturbative, time-dependent approach to describe single and double ionization of helium by proton and antiproton impact. A flexible and accurate finite-element discrete-variable-representation is applied to discretize ... More

A mean curvature type flow in space formsSep 19 2013In this article, we introduce a new type of mean curvature flow for bounded star-shaped domains in space forms and prove its longtime existence, exponential convergence without any curvature assumption. Along this flow, the enclosed volume is a constant ... More

Period-doubling cascades of a Silnikov equationDec 07 2013Dec 15 2013Based on numerical results of a Silnikov equation, three period-doubling cascades, corresponding respectively to three different characters of the rotation number of a limit closed orbit, are studied, and the Feigenbaum constant is used successfully in ... More

On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian ManifoldsNov 29 2018We derive gradient and second order {\em a priori} estimates for solutions of the Neumann problem for a general class of fully nonlinear elliptic equations on compact Riemannian manifolds with boundary. These estimates yield regularity and existence results. ... More

Restricted hom-Lie algebrasOct 06 2015The paper studies the structure of restricted hom-Lie algebras. More specifically speaking, we first give the equivalent definition of restricted hom-Lie algebras. Second, we obtain some properties of $p$-mappings and restrictable hom-Lie algebras. Finally, ... More

Sampling algebraic sets in local intrinsic coordinatesDec 14 2009Numerical data structures for positive dimensional solution sets of polynomial systems are sets of generic points cut out by random planes of complimentary dimension. We may represent the linear spaces defined by those planes either by explicit linear ... More

Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifoldsJan 29 2014We derive a priori estimates for second order derivatives of solutions to a wide calss of fully nonlinear elliptic equations on Riemannian manifolds. The equations we consider naturally appear in geometric problems and other applications such as optimal ... More

Entropy and a convergence theorem for Gauss curvature flow in high dimensionJun 04 2013In this paper we prove uniform regularity estimates for the normalized Gauss curvature flow in higher dimensions. The convergence of solutions in $C^\infty$-topology to a smooth strictly convex soliton as $t$ approaches to infinity is obtained as a consequence ... More

The quermassintegral inequalities for starshaped domainsOct 23 2007Oct 17 2008We give a simple proof of the insoperimetric inequality for quermassintegrals of non-convex starshaped domains, using a reslut of Gerhardt \cite{G} and Urbas \cite{U} on an expanding geometric curvature flow.

Geometric inequalities on locally conformally flat manifoldsFeb 27 2003Oct 02 2003Through the study of some elliptic and parabolic fully nonlinear PDEs, we establish conformal versions of quermassintegral inequality, the Sobolev inequality and the Moser-Trudinger inequality for the geometric quantities associated to the Schouten tensor ... More

Many-body properties of quasi-one dimensional Boson gas across a narrow CIROct 09 2012Feb 05 2013We study strong interaction effects in a one-dimensional (1D) Boson gas across a narrow confinement induced resonance (CIR). In contrast to the zero range potential, the 1D two-body interaction in the narrow CIR can be written as a polynomial of derivative ... More

Continuity in Information AlgebrasJan 02 2012In this paper, the continuity and strong continuity in domain-free information algebras and labeled information algebras are introduced respectively. A more general concept of continuous function which is defined between two domain-free continuous information ... More

Clarkson-Erdös-Schwartz Theorem on a SectorSep 08 2011We prove a Clarkson-Erd\"os-Schwartz type theorem for the case of a closed sector in the plane. Concretely, we get some sufficient conditions for the incompleteness and minimality of a M\"untz system $E(\Lambda)={z^{\lambda_n}:n=0,1,...}$ in the space ... More

On a class of fully nonlinear elliptic equations on Hermitian manifoldsJan 24 2013We derive a priori $C^2$ estimates for a class of complex Monge-Ampere type equations on Hermitian manifolds. As an application we solve the Dirichlet problem for these equations under the assumption of existence of a subsolution; the existence result, ... More

Complex Monge-Ampere equations and totally real submanifoldsOct 09 2009We study the Dirichlet problem for complex Monge-Ampere equations in Hermitian manifolds with general (non-pseudoconvex) boundary. Our main result extends the classical theorem of Caffarelli, Kohn, Nirenberg and Spruck in the flat case. We also consider ... More

Complex Monge-Ampere equations on Hermitian manifoldsJun 18 2009We study complex Monge-Ampere equations on Hermitian manifolds, extending classical existence results of Yau and Aubin in the Kahler case, and those of Caffarelli, Kohn, Nirenberg and Spruck for the Dirichlet problem in $C^n$. As an application we generalize ... More

Proton Tomography Through Deeply Virtual Compton ScatteringMay 03 2016In this prize talk, I recall some of the history surrounding the discovery of deeply virtual Compton scattering, and explain why it is an exciting experimental tool to obtain novel tomographic pictures of the nucleons at Jefferson Lab 12 GeV facility ... More

Comment on "Spin and Orbital Angular Momentum in Gauge Theories" by X. S. Chen et. al. (PRL100, 232002 (2008))Oct 27 2008The individual parts of the total angular momentum operator in interacting theories cannot satisfy the canonical angular momentum commutation rule, including those proposed in the above paper. Furthermore, the operators in the new proposal a) are non-local ... More

Generalized Parton Distributions and the Spin Structure of the NucleonNov 09 2002Generalized parton distributions are a new type of hadronic observables which has recently stimulated great interest among theorists and experimentalists alike. Introduced to delineate the spin structure of the nucleon, the orbital angular momentum of ... More

Deeply Virtual Compton ScatteringSep 17 1996Apr 10 1997We study in QCD the physics of deeply-virtual Compton scattering (DVCS)---the virtual Compton process in the large s and small t kinematic region. We show that DVCS can probe a new type of off-forward parton distributions. We derive an Altarelli-Parisi ... More

HADRON SUBSTRUCTURE PROBED WITH HADRON BEAMSFeb 09 1995In this talk, I focus on the quark-gluon structure of hadrons probed using high-energy hadron beams. I start with a brief review on recent major achievements in measuring parton distributions of the nucleon, pion, and kaon, with hadron facilities at CERN ... More

Parton Physics on Euclidean LatticeMay 07 2013I show that the parton physics related to correlations of quarks and gluons on the light-cone can be studied through the matrix elements of frame-dependent, equal-time correlators in the large momentum limit. This observation allows practical calculations ... More

Viewing the Proton Through "Color"-FiltersApr 04 2003Jun 18 2003While the form factors and parton distributions provide separately the shape of the proton in coordinate and momentum spaces, a more powerful imaging of the proton structure can be obtained through phase-space distributions. Here we introduce the Wigner-type ... More

Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-OffMar 08 1996I introduce a gauge invariant decomposition of the nucleon spin into quark helicity, quark orbital, and gluon contributions. The total quark (and hence the quark orbital) contribution is shown to be measurable through virtual Compton scattering in a special ... More

Interpolating the Nucleon's Spin-Dependent Sum Rules at High and Low EnergiesJul 20 1993I discuss a few interpolating sum rules for spin structure functions of the nucleon. Using the concept of duality, I argue that the $G_1$ sum rule, including the elastic contribution, is useful for learning higher twist matrix elements of the nucleon. ... More

Chiral-Odd and Spin-Dependent Quark Fragmentation Functions and their ApplicationsJul 08 1993We define a number of quark fragmentation functions for spin-0, -1/2 and -1 hadrons, and classify them according to their twist, spin and chirality. As an example of their applications, we use them to analyze semi-inclusive deep-inelastic scattering on ... More

Prime Graphs and Exponential Composition of SpeciesMay 01 2007Nov 10 2009In this paper, we enumerate prime graphs with respect to the Cartesian multiplication of graphs. We use the unique factorization of a connected graph into the product of prime graphs given by Sabidussi to find explicit formulas for labeled and unlabeled ... More

Enumerative Properties of Posets Corresponding to a Certain Class of No Strategy GamesAug 22 2016In this paper, we consider a game beginning with a multiset of elements from a group. On a move, two elements are replaced by their sum. This is a no strategy game, and can be modeled as a graded poset with the rank of a node equal to the cardinality ... More

Comment on "Laser refrigeration of hydrothermal nanocrystals in physiological media"Jan 06 2016The recent report on laser cooling of liquid may contradict the law of energy conservation.

Higher Moments of Net-Kaon Multiplicity Distributions at STARNov 22 2016Fluctuations of conserved quantities such as baryon number (B), electric charge number (Q), and strangeness number (S), are sensitive to the correlation length and can be used to probe non-gaussian fluctuations near the critical point. Experimentally, ... More

Classical Verification of Quantum ProofsMay 27 2015We present a classical interactive protocol that verifies the validity of a quantum witness state for the local Hamiltonian problem. It follows from this protocol that approximating the non-local value of a multi-player one-round game to inverse polynomial ... More

Curvature formulas of holomorphic curves on $C^*$-algebras and Cowen-Douglas OperatorsFeb 22 2014Jan 05 2018For $\Omega\subseteq \mathbb{C}$ a connected open set, and ${\mathcal U}$ a unital $C^*$-algebra, let ${\mathcal I} ({\mathcal U})$ and ${\mathcal P}({\mathcal U})$ denote the sets of all idempotents and projections in ${\mathcal U}$ respectively. ${\mathcal ... More

On Credit-based Incentive Mechanisms of Voluntary User Comment Reviewing in Social NetworksAug 14 2016With the recent advance of micro-blogs and social networks, people can view and post comments on the websites in a very convenient way. However, it is also a big concern that the malicious users keep polluting the cyber environment by scamming, spamming ... More

Dual method for continuous-time Markowitz's Problems with nonlinear wealth equationsJun 30 2008Continuous-time mean-variance portfolio selection model with nonlinear wealth equations and bankruptcy prohibition is investigated by the dual method. A necessary and sufficient condition which the optimal terminal wealth satisfies is obtained through ... More

Simultaneous Deformations of Lie Algebroids and Lie SubalgebroidsJul 18 2012Feb 28 2013The $L_\infty$-algebra is an algebraic structure suitable for describing deformation problems. In this paper we construct one $L_\infty$-algebra, which turns out to be a differential graded Lie algebra, to control the deformations of Lie algebroids and ... More

Lorentz Symmetry and the Internal Structure of the NucleonOct 08 1997To investigate the internal structure of the nucleon, it is useful to introduce quantities that do not transform properly under Lorentz symmetry, such as the four-momentum of the quarks in the nucleon, the amount of the nucleon spin contributed by quark ... More

Spin Structure Functions of the NucleonOct 20 1995I begin with a general discussion about importance of constructing a picture of the nucleon in terms of QCD degrees of freedom, emphasizing the role of spin structure functions. I then give a short overview on the theoretical and experimental status of ... More

$Q^2$-Dependence of Deep Inelastic Sum RulesMar 09 1994In this talk, I will concentrate on $Q^2$-dependence of deep inelastic sum rules. I will first give a modern definition of deep-inelastic sum rules and then discuss physical origins of their scaling violation at finite $Q^2$. Following this, I discuss ... More

Gluon Condensate from Lattice QCDJun 23 1995Jun 29 1995After making some critical comments about the traditional method of extracting the gluon condensate from lattice QCD data, I present an alternative analysis. The result is more than a factor of five larger than the phenomenological value. Two closely ... More

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

HG-Caffe: Mobile and Embedded Neural Network GPU (OpenCL) Inference Engine with FP16 SupportingJan 03 2019Breakthroughs in the fields of deep learning and mobile system-on-chips are radically changing the way we use our smartphones. However, deep neural networks inference is still a challenging task for edge AI devices due to the computational overhead on ... More

Compression of Quantum Multi-Prover Interactive ProofsOct 10 2016We present a protocol that transforms any quantum multi-prover interactive proof into a nonlocal game in which questions consist of logarithmic number of bits and answers of constant number of bits. As a corollary, this proves that the promise problem ... More

On the Correctness of Inverted Index Based Public-Key Searchable Encryption Scheme for Multi-time SearchAug 24 2016In this short note we argue that the state-of-art inverted index based public key searchable encryption scheme proposed by Wang et al may not be completely correct by giving a counterexample.

Spatially Differential Forms of Lenz LawSep 15 2003Two sets of spatially differential formulas of Lenz law on electromagnetic inductance are presented. They are a cut-magnetic flux induced voltage, which instantaneously results from cutting magnetic flux as a conductor moving with respect to an external ... More

Phase Difference Function in Coherent Temporal-spatial Region and Unified Equations of Steady, Non-steady InterferenceApr 08 2003Phase difference function is established by means of phase transfer function between time domains of source and interference point. The function reveals a necessary interrelation between outcome of two-beam interference, source's frequency and measured ... More

Binary Constraint System Games and Locally Commutative ReductionsOct 14 2013Nov 04 2013A binary constraint system game is a two-player one-round non-local game defined by a system of Boolean constraints. The game has a perfect quantum strategy if and only if the constraint system has a quantum satisfying assignment [R. Cleve and R. Mittal, ... More

Non-wandering Fatou components for strongly attracting polynomial skew productsFeb 16 2018Dec 12 2018We show a partial generalization of Sullivan's non-wandering domain theorem in complex dimension two. More precisely, we show the non-existence of wandering Fatou components for polynomial skew products of $ \mathbb{C}^2$ with an invariant attracting ... More

An Efficient Triplet-based Algorithm for Evidential ReasoningJun 27 2012Linear-time computational techniques have been developed for combining evidence which is available on a number of contending hypotheses. They offer a means of making the computation-intensive calculations involved more efficient in certain circumstances. ... More

Localization Trajectory and Chern-Simons axion coupling for Bilayer Quantum Anomalous Hall SystemsDec 07 2018Quantum anomalous Hall (QAH) multilayers provide a platform of topological materials with high Chern numbers. We investigate the localization routes of bilayer QAH systems with Chern number C = 2 under strong disorder, by numerical simulations on their ... More

Detection of a superconducting phase in a two-atom layer of hexagonal Ga film grown on semiconducting GaN(0001)Mar 24 2014Jan 17 2015The recent observation of superconducting state at atomic scale has motivated the pursuit of exotic condensed phases in two-dimensional (2D) systems. Here we report on a superconducting phase in two-monolayer crystalline Ga films epitaxially grown on ... More

Radially Extended, Stratified, Local Models of Isothermal DisksDec 17 2010We consider local, stratified, numerical models of isothermal accretion disks. The novel feature of our treatment is that radial extent L_x and azimuthal extent L_y satisfy H << L_x, L_y << R, where H is the scale height and R is the local radius. This ... More

A Rigidity Theorem for Hypersurfaces in Higher Dimensional Space FormsJun 07 2013The classical Cohn-Vossen theorem states that two isometric compact convex surfaces in $\mathbb{R}^{3}$ are congruent. In this short note, we generalize the classical Cohn-Vossen Theorem to higher dimensional surfaces in space form $N^{n+1}(K)$ for $n\ge ... More

SLE and alpha-SLE driven by Levy processesJun 27 2006Stochastic Loewner Evolutions (SLE) with a multiple sqrt(kappa)B of Brownian motion B as driving process are random planar curves (if kappa<=4) or growing compact sets generated by a curve (if kappa>4). We consider here more general Levy processes as ... More

Quantum Criticality of 1D Attractive Fermi GasOct 06 2010Aug 10 2011We obtain an analytical equation of state for one-dimensional strongly attractive Fermi gas for all parameter regime in current experiments. From the equation of state we derive universal scaling functions that control whole thermodynamical properties ... More

Hey, you, keep away from my device: remotely implanting a virus expeller to defeat Mirai on IoT devicesJun 19 2017Mirai is botnet which targets out-of-date Internet-of-Things (IoT) devices. The disruptive Distributed Denial of Service (DDoS) attack last year has hit major Internet companies, causing intermittent service for millions of Internet users. Since the affected ... More

Bileptons from Muon Collider Backward ScatteringMay 20 1998There are serious discussions for building a muon collider with $\mu^{+}\mu^{-}$ collisions at c.o.m. energies up to 4 TeV. We point out that the bileptonic gauge bosons predicted in some extensions of the Standard Model would be readily discernable from ... More

Dynamics of Massive Scalar Fields in dS Space and the dS/CFT CorrespondenceApr 02 2002Global geometric properties of dS space are presented explicitly in various coordinates. A Robertson-Walker like metric is deduced, which is convenient to be used in study of dynamics in dS space. Singularities of wavefunctions of massive scalar fields ... More

Cutoffs for product chainsJan 23 2017Feb 09 2017In this article, we consider products of ergodic Markov chains and discuss their cutoffs in the total variation. Through a new inequality relating the total variation and the Hellinger distance, we may identify the total variation cutoffs with cutoffs ... More

On the periodicity of some Farhi arithmetical functionsMar 06 2009May 03 2009Let $k\in\mathbb{N}$. Let $f(x)\in \Bbb{Z}[x]$ be any polynomial such that $f(x)$ and $f(x+1)f(x+2)... f(x+k)$ are coprime in $\mathbb{Q}[x]$. We call $$g_{k,f}(n):=\frac{|f(n)f(n+1)... f(n+k)|}{\text{lcm}(f(n),f(n+1),...,f(n+k))}$$ a Farhi arithmetic ... More

Estimation of weighted $L^2$ norm related to Demailly's Strong Openness ConjectureMar 18 2016In the present article, we obtain an estimation of the weighted $L^2$ norm near the singularities of plurisubharmonic weight related to Demailly's strong openness conjecture, which implies the convergence of the weighted $L^2$ norm.

Spontaneous Formation of Dynamical Groups in an Adaptive Networked SystemNov 01 2010In this work, we investigate a model of an adaptive networked dynamical system, where the coupling strengths among phase oscillators coevolve with the phase states. It is shown that in this model the oscillators can spontaneously differentiate into two ... More

Planetesimal Accretion in Binary Systems: Role of the Companion's Orbital InclinationApr 06 2009Jun 09 2009Recent observations show that planet can reside in close binary systems with stellar separation of only about 20 AU. However, planet formation in such close binary systems is a challenge to current theory. One of the major theoretical problems occurs ... More

Predicting the Configuration of Planetary System: KOI-152 Observed by KeplerMay 11 2012The recent Kepler discovery of KOI-152 reveals a system of three hot super-Earth candidates that are in or near a 4:2:1 mean motion resonance. It is unlikely that they formed in situ, the planets probably underwent orbital migration during the formation ... More

CP violation in neutrino mixing with $δ= -π/2$ in $A_4$ Type-II seesaw modelMay 08 2015Nov 25 2015We study a class of models for neutrino mass matrix in Type-II seesaw with $A_4$ family symmetry. The resulting neutrino mass matrix can be naturally made to respect a $\mu-\tau$ exchange plus CP conjugate symmetry (GLS) with the CP violating phase $\delta$ ... More

The cutoff phenomenon for randomized riffle shufflesJan 29 2007We study the cutoff phenomenon for generalized riffle shuffles where, at each step, the deck of cards is cut into a random number of packs of multinomial sizes which are then riffled together.

An exact formalism for the quench dynamics of integrable modelsApr 02 2013Jun 11 2013We describe a formulation for studying the quench dynamics of integrable systems generalizing an approach by Yudson. We study the evolution of the Lieb-Liniger model, a gas of interacting bosons moving on the continuous infinite line and interacting via ... More

Sparse Multipath Channel Estimation using DS Algorithm in Wideband Communication SystemsMay 13 2010Wideband wireless channel is a time dispersive channel and becomes strongly frequency-selective. However, in most cases, the channel is composed of a few dominant taps and a large part of taps is approximately zero or zero. They are often called sparse ... More

RF study and simulations of a C-band Barrel Open Cavity (BOC) pulse compressorJul 15 2014This paper focuses on the RF study of a C-band(5712MHz) BOC pulse compressor. The operating principle of BOC is presented and the technical specifications are determined. The main components of BOC such as the cavity, the matching waveguide, the coupling ... More

Adaptive Sparse Channel Estimation for Time-Variant MIMO-OFDM SystemsFeb 06 2013Accurate channel state information (CSI) is required for coherent detection in time-variant multiple-input multipleoutput (MIMO) communication systems using orthogonal frequency division multiplexing (OFDM) modulation. One of low-complexity and stable ... More

Non-Fragility and Partial Controllability of Multi-Agent SystemsJul 25 2016Controllability of multi-agent systems is determined by the interconnection topologies. In practice, losing agents can change the topologies of multi-agent systems, which may affect the controllability. This paper studies non-fragility of controllability ... More

Leader selection and weight adjustment problems for multi-agent systemsMar 18 2015Jun 15 2015For an uncontrollable system, adding leaders and adjusting edge weights are two methods to improve controllability. In this paper, controllability of multi-agent systems under directed topologies is studied, especially on leader selection problem and ... More

Discounting and Combination Operations in Evidential ReasoningMar 06 2013Evidential reasoning is now a leading topic in Artificial Intelligence. Evidence is represented by a variety of evidential functions. Evidential reasoning is carried out by certain kinds of fundamental operation on these functions. This paper discusses ... More

Measuring Two-Event Structural Correlations on GraphsAug 01 2012Real-life graphs usually have various kinds of events happening on them, e.g., product purchases in online social networks and intrusion alerts in computer networks. The occurrences of events on the same graph could be correlated, exhibiting either attraction ... More

Relativistic MHD Simulations of Poynting Flux-Driven JetsDec 02 2013Relativistic, magnetized jets are observed to propagate to very large distances in many Active Galactic Nuclei (AGN). We use 3D relativistic MHD (RMHD) simulations to study the propagation of Poynting flux-driven jets in AGN. These jets are assumed already ... More

Interior curvature estimates and the asymptotic plateau problem in hyperbolic spaceSep 20 2012We show that for a very general class of curvature functions defined in the positive cone, the problem of finding a complete strictly locally convex hypersurface in $H^n+1$ satisfying $f(\kappa)=\sigma\in(0, 1)$ with a prescribed asymptotic boundary $\Gamma$ ... More

Exact Divisibility of Exponential Sums Associated to Binomials over finite fieldsJan 17 2014Dec 02 2015In this paper we compute the exact divisibility of exponential sums associated to binomials $F(X)=aX^{d_1} +b X^{d_2}$. In particular, for the case where $\max\{d_1,d_2\}\leq\sqrt{p-1}$, the exact divisibility is computed. As a byproduct of our results, ... More

On linear instability of solitary waves for the nonlinear Dirac equationSep 05 2012Jun 14 2013We consider the nonlinear Dirac equation, also known as the Soler model: $i\p\sb t\psi=-i\alpha \cdot \nabla \psi+m \beta \psi-f(\psi\sp\ast \beta \psi) \beta \psi$, $\psi(x,t)\in\mathbb{C}^{N}$, $x\in\mathbb{R}^n$, $n\le 3$, $f\in C\sp 2(\R)$, where ... More