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Results for "Rong Lü"

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Nucleon resonances in the $γp \to φK^+ Λ$ reaction near thresholdDec 19 2014Nov 26 2015We investigate the $\gamma p \to \phi K^+ \Lambda$ reaction near threshold within an effective Lagrangian approach and the isobar model. Various nucleon resonances caused by the $\pi$ and $\eta$ meson exchanges and background contributions are considered. ... More
2-torus manifolds, cobordism and small coversJan 31 2007Let ${\frak M}_n$ be the set of equivariant unoriented cobordism classes of all $n$-dimensional 2-torus manifolds, where an $n$-dimensional 2-torus manifold $M$ is a smooth closed manifold of dimension $n$ with effective smooth action of a rank $n$ 2-torus ... More
Graphs and $({\Bbb Z}_2)^k$-actionsAug 31 2005May 20 2010Let $\mathcal{A}_n^k$ denote all nonbounding effective smooth $({\Bbb Z}_2)^k$-actions on $n$-dimensional smooth closed connected manifolds, each of which is cobordant to one with finite fixed set. Motivated by GKM theory, one can associate to each action ... More
Well-posedness of Stochastic Riccati Equations and Closed-Loop Solvability for Stochastic Linear Quadratic Optimal Control ProblemsNov 18 2018Jan 18 2019We study the closed-loop solvability of a stochastic linear quadratic optimal control problem for systems governed by stochastic evolution equations. This solvability is established by means of solvability of the corresponding Riccati equation, which ... More
Exact Controllability for Stochastic Transport EquationsMar 30 2013Oct 21 2013This paper is addressed to studying the exact controllability for stochastic transport equations by two controls: one is a boundary control imposed on the drift term and the other is an internal control imposed on the diffusion term. By means of the duality ... More
Generalized Aubry-André-Harper model with p-wave superconducting pairingJul 17 2016Sep 23 2016We investigate a generalized Aubry-Andr\'e-Harper (AAH) model with p-wave superconducting pairing. Both the hopping amplitudes between the nearest neighboring lattice sites and the on-site potentials in this system are modulated by a cosine function with ... More
Interplay between Fano resonance and $\mathcal{PT} $ symmetry in non-Hermitian discrete systemsJan 02 2015Apr 30 2015We study the effect of PT-symmetric complex potentials on the transport properties of non-Hermitian systems, which consist of an infinite linear chain and two side-coupled defect points with PT-symmetric complex on-site potentials. By analytically solving ... More
Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosityJun 10 2019We study the compressible quantum Navier-Stokes (QNS) equations with degenerate viscosity in the three dimensional periodic domains. On the one hand, we consider QNS with additional damping terms. Motivated by the recent works [Li-Xin, arXiv:1504.06826] ... More
Transport through a non-Hermitian Aharonov-Bohm ring with physical gain and lossJul 30 2016Feb 13 2017We investigate a non-Hermitian Aharonov-Bohm (AB) ring system with a quantum dot (QD) embedded in each of its two arms. The energy levels of the QDs are complex in order to take into account the physical gain or loss of the ring system during its interacting ... More
$\mathcal{PT}$ symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice modelOct 23 2015We study the $\mathcal{PT} $-symmetry breaking for the scattering problem in a one-dimensional (1D) non-Hermitian tight-binding lattice model with balanced gain and loss distributed on two adjacent sites. In the scattering process the system undergoes ... More
Transport through a non-Hermitian Aharonov-Bohm ring with physical gain and lossJul 30 2016We investigate a non-Hermitian Aharonov-Bohm (AB) ring system with a quantum dot (QD) embedded in each of its two arms. The energy levels of the QDs are complex in order to take into account the physical gain or loss of the ring system during its interacting ... More
Tunable Fano effect in parallel-coupled double quantum dot systemMar 09 2005Mar 17 2005With the help of the Green function technique and the equation of motion approach, the electronic transport through a parallel-coupled double quantum dot(DQD) is theoretically studied. Owing to the inter-dot coupling, the bonding and antibonding states ... More
Anderson localization in the Non-Hermitian Aubry-André-Harper model with physical gain and lossMar 10 2017Jun 23 2017We investigate the Anderson localization in non-Hermitian Aubry-Andr\'e-Harper (AAH) models with imaginary potentials added to lattice sites to represent the physical gain and loss during the interacting processes between the system and environment. By ... More
Graphs of 2-torus actionsNov 23 2007Nov 25 2007It has been known that an effective smooth $({\Bbb Z}_2)^k$-action on a smooth connected closed manifold $M^n$ fixing a finite set can be associated to a $({\Bbb Z}_2)^k$-colored regular graph. In this paper, we consider abstract graphs $(\Gamma,\alpha)$ ... More
$({\Bbb Z}_2)^k$-actions with $w(F)=1$Mar 05 2005Suppose that $(\Phi, M^n)$ is a smooth $({\Bbb Z}_2)^k$-action on a closed smooth $n$-dimensional manifold such that all Stiefel-Whitney classes of the tangent bundle to each connected component of the fixed point set $F$ vanish in positive dimension. ... More
On the conjecture of vertex-transitivity of DcellMay 18 2018Gu et al. in [Inform. Process. Lett. 134 (2018) 52--56] conjectured that the data center network $D_{k,n}$ is vertex-transitive for all $k\geq0$ and $n\geq2$. In this paper, we show that $D_{k,n}$ is vertex-transitive for $k\leq1$ and $n\geq2$, and it ... More
Quench dynamics in the Aubry-André-Harper model with \textit{p}-wave superconductivityOct 15 2017Nov 27 2017The Anderson localization phase transition in the Aubry-Andr\'e-Harper (AAH) model with \textit{p}-wave superconducting (SC) pairing is numerically investigated by suddenly changing the on-site potential from zero to various finite values which fall into ... More
Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger modelJun 11 2019Intriguing issues in one-dimensional non-reciprocal topological systems include the breakdown of usual bulk-edge correspondence and the occurrence of half-integer topological invariants. In order to understand these unusual topological properties, we ... More
Fano Effect through Parallel-coupled Double Coulomb IslandsNov 04 2005By means of the non-equilibrium Green function and equation of motion method, the electronic transport is theoretically studied through a parallel-coupled double quantum dots(DQD) in the presence of the on-dot Coulomb correlation, with an emphasis put ... More
Phonon-assisted Kondo Effect in a Single-Molecule Transistor out of EquilibriumApr 20 2005Jun 08 2006The joint effect of the electron-phonon interaction and Kondo effect on the nonequilibrium transport through the single molecule transistor is investigated by using the improved canonical transformation scheme and extended equation of motion approach. ... More
Macroscopic quantum coherence in antiferromagnetic molecular magnetsJun 20 2000The macroscopic quantum coherence in a biaxial antiferromagnetic molecular magnet in the presence of magnetic field acting parallel to its hard anisotropy axis is studied within the two-sublattice model. On the basis of instanton technique in the spin-coherent-state ... More
Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systemsFeb 12 2018Apr 17 2018We unveil the geometrical meaning of winding number and utilize it to characterize the topological phases in one-dimensional chiral non-Hermitian systems. While chiral symmetry ensures the winding number of Hermitian systems being integers, it can take ... More
On 3-manifolds with locally-standard (Z_2)^3-actionsJul 21 2008Sep 01 2008As a generalization of Davis-Januszkiewicz theory, there is an essential link between locally standard $(\Z_2)^n$-actions (or $T^n$-actions) actions and nice manifolds with corners, so that a class of nicely behaved equivariant cut-and-paste operations ... More
Dynamical Generation of Topological Magnetic Lattices for Ultracold AtomsJun 08 2015Apr 02 2016We propose a scheme to dynamically synthesize a space-periodic effective magnetic field for neutral atoms by time-periodic magnetic field pulses. When atomic spin adiabatically follows the direction of the effective magnetic field, an adiabatic scalar ... More
Effects of electron-phonon interaction on non-equilibrium transport through single-molecule transistorOct 26 2004May 11 2005On the basis of the nonequilibrium Green's function and nonperturbative canonical transformation for the local electron-phonon interaction (EPI), the quantum transport through a single-molecule transistor(SMT) has been investigated with a particular attention ... More
Quantum coherence of double-well BEC: a SU(2)-coherent-state path-integral approachApr 19 2001Feb 21 2003Macroscopic quantum coherence of Bose gas in a double-well potential is studied based on SU(2)-coherent-state path-integral. The ground state and fluctuations around it can be obtained by this method. In this picture, one can obtain macroscopic quantum ... More
Macroscopic quantum coherence in spinor condensates confined in an anisotropic potentialJun 08 2012We investigate the macroscopic quantum coherence of a spin-1 Rb condensate confined in an anisotropic potential. Under the single-mode approximation, we show that the system can be modeled as a biaxial quantum magnet due to the interplay between the magnetic ... More
Geometrical Convergence Rate for Distributed Optimization with Time-Varying Directed Graphs and Uncoordinated Step-SizesNov 03 2016This paper studies a class of distributed optimization algorithms by a set of agents, where each agent has only access to its own local convex objective function, and jointly minimizes the sum of the functions. The communications among agents are described ... More
Examples of quasitoric manifolds as special unitary manifoldsOct 15 2013Mar 03 2015This note shows that for each $n\geq 5$ with only $n\not= 6$, there exists a $2n$-dimensional specially omnioriented quasitoric manifold $M^{2n}$ which represents a nonzero element in $\Omega_*^U$. This provides the counterexamples of Buchstaber--Panov--Ray ... More
Non-Markovian dynamical effects and time evolution of entanglement entropy of a dissipative two-state systemApr 10 2011We investigate the dynamical information exchange between a two-state system and its environment which is measured by von Neumann entropy. It is found that in the underdamping regime, the entropy dynamics exhibits an extremely non-Markovian oscillation-hump ... More
Equivariant cohomology and analytic descriptions of ring isomorphismsMar 05 2007Mar 24 2008In this paper we consider a class of connected closed $G$-manifolds with a non-empty finite fixed point set, each $M$ of which is totally non-homologous to zero in $M_G$ (or $G$-equivariantly formal), where $G={\Bbb Z}_2$. With the help of the equivariant ... More
Quantum dynamics of the dissipative two-state system coupled with a sub-Ohmic bathDec 06 2006The decoherence of a two-state system coupled with a sub-Ohmic bath is investigated theoretically by means of the perturbation approach based on a unitary transformation. It is shown that the decoherence depends strongly and sensitively on the structure ... More
On the conjecture of bijection between perfect matching and sub-hypercube in folded hypercubesMay 11 2019Dong and Wang in [Theor. Comput. Sci. 771 (2019) 93--98] conjectured that the resulting graph of the $n$-dimensional folded hypercube $FQ_n$ by deleting any perfect matching is isomorphic to the hypercube $Q_n$. In this paper, we show that the conjecture ... More
Structure and substructure connectivity of balanced hypercubesAug 06 2018The connectivity of a network directly signifies its reliability and fault-tolerance. Structure and substructure connectivity are two novel generalizations of the connectivity. Let $H$ be a subgraph of a connected graph $G$. The structure connectivity ... More
Carleman Estimates for Parabolic Operators with Discontinuous and Anisotropic Diffusion Coefficients, an Elementary ApproachJan 03 2013By using some deep tools from microlocal analysis, J. Le Rousseau and L. Robbiano (Invent. Math., 183 (2011), 245--336) established several Carleman estimates for parabolic operators with isotropic diffusion coefficients which have jumps at interfaces. ... More
Super edge-connectivity and matching preclusion of data center networksJul 13 2018Feb 21 2019Edge-connectivity is a classic measure for reliability of a network in the presence of edge failures. $k$-restricted edge-connectivity is one of the refined indicators for fault tolerance of large networks. Matching preclusion and conditional matching ... More
On the value distribution of a Differential Monomial and some normality criteriaMar 24 2019Let $f$ be a transcendental meromorphic function defined in the complex plane $\mathbb{C}$, and $\varphi(\not\equiv 0,\infty)$ be a small function of $f$. In this paper, We give a quantitative estimation of the characteristic function $T(r, f)$ in terms ... More
First and Second Order Necessary Optimality Conditions for Controlled Stochastic Evolution Equations with Control and State ConstraintsJan 19 2019The purpose of this paper is to establish first and second order necessary optimality conditions for optimal control problems of stochastic evolution equations with control and state constraints. The control acts both in the drift and diffusion terms ... More
Hadronic molecular states from the $K\bar{K}^*$ interactionMar 14 2016Oct 22 2016In this work, the $K\bar{K}^*$ interaction is studied in a quasipotential Bethe-Salpeter equation approach combined with the one-boson-exchange model. With the help of the hidden-guage Lagrangian, the exchanges of pseudoscalar mesons ($\pi$ and $\eta$) ... More
Quantum Digital Signature based on Quantum One-way FunctionsMar 05 2004Jun 24 2004A quantum digital signature protocol based on quantum mechanics is proposed in this paper. The security of the protocol relies on the existence of quantum one-way functions by quantum information theorem. This protocol involves a so-called arbitrator ... More
Dynamics of two qubits in a spin-bath of Quantum anisotropic Heisenberg XY coupling typeDec 25 2006Oct 15 2007The dynamics of two 1/2-spin qubits under the influence of a quantum Heisenberg XY type spin-bath is studied. After the Holstein-Primakoff transformation, a novel numerical polynomial scheme is used to give the time-evolution calculation of the center ... More
A New Proof of the Gromov's Theorem on Almost Flat ManifoldsJun 08 2019We will present a new proof for the Gromov's theorem on almost flat manifolds ([Gr], [Ru]).
word2vec Parameter Learning ExplainedNov 11 2014Jun 05 2016The word2vec model and application by Mikolov et al. have attracted a great amount of attention in recent two years. The vector representations of words learned by word2vec models have been shown to carry semantic meanings and are useful in various NLP ... More
A brief survey on local holomorphic dynamics in higher dimensionsJan 26 2015We give a brief survey on local holomorphic dynamics in higher dimensions. The main novelty of this note is that we will organize the material by the "level" of local invariants rather than the type of maps.
Local algebras with radical cubic zero are PCM-freeAug 28 2013Sep 01 2013An artin algebra is said to be PCM-free if every finitely generated Gorenstein projective module with a projective submodule is projective. In this paper, we show that artin local algebras with radical cubic zero are PCM-free.
The Briot-Bouquet systems and the center families for holomorphic dynamical systemsJul 15 2013We give a complete solution to the existence of isochronous center families for holomorphic dynamical systems. The study of center families for n-dimensional holomorphic dynamical systems naturally leads to the study of (n-1)-dimensional Briot-Bouquet ... More
Dynamics of bilayer membranes. 1. Isolated membraneOct 24 1997By adopting the approximations suggested in the theory of thin shells, the hydrodynamic theory of liquid crystals established by Eriksen [Arch. Rational Mech. Anal. 4 (1960) 231; Trans. Soc. Rheol. 4 (1960) 29] and Leslie [Adv. Liq. Cryst. 4 (1979) 1] ... More
Hadronic molecular states from the $K\bar{K}^*$ interactionMar 14 2016Dec 10 2016In this work, the $K\bar{K}^*$ interaction is studied in a quasipotential Bethe-Salpeter equation approach combined with the one-boson-exchange model. With the help of the hidden-gauge Lagrangian, the exchanges of pseudoscalar mesons ($\pi$ and $\eta$) ... More
Smooth free involution of $H{\Bbb C}P^3$ and Smith conjecture for imbeddings of $S^3$ in $S^6$Nov 09 2002Jun 26 2007This paper establishes an equivalence between existence of free involutions on $H{\Bbb C}P^3$ and existence of involutions on $S^6$ with fixed point set an imbedded $S^3$, then a family of counterexamples of the Smith conjecture for imbeddings of $S^3$ ... More
Strong and radiative decays of DΞmolecular state and newly observed $Ω_c$ statesJan 11 2018Apr 13 2018In this work, we study strong and radiative decays of S-wave D\Xi molecular state, which is related to the \Omega^*_c states newly observed at LHCb. The coupling between the D\Xi molecular state and its constituents D and \Xi is calculated by using the ... More
Nucleon resonances in the $π^- p \to K^0 Λ$ reaction near thresholdSep 25 2014Nov 26 2015We investigate the two-body reaction $\pi^- p \to K^{0} \Lambda$ within the effective Lagrangian approach and the isobar model. In addition to the "background" contributions from $t$-channel $K^*$ exchange, $u$-channel $\Sigma(1192)$ and $\Sigma^*(1385)$ ... More
Review and Report on Results of Leptonic Decays of $D^+$ and $D^+_s$ MesonsSep 01 2012In the last 25 years, many $e^+e^-$ experiments and fixed-target experiments performed to search for and study the leptonic decays of the $D^+$ and $D^+_s$ mesons. By 2012, more than 530 signal events of the $D^+$ leptonic decays and about $4\times10^3$ ... More
Motivic cohomology of quaternionic Shimura varieties and level raisingJan 07 2019Jan 29 2019We study the motivic cohomology of the special fiber of quaternionic Shimura varieties at a prime of good reduction. We exhibit classes in these motivic cohomology groups and use this to give an explicit geometric realization of level raising between ... More
Expressing Sparse Matrix Computations for Productive Performance on Spatial ArchitecturesOct 12 2018This paper addresses spatial programming of sparse matrix computations for productive performance. The challenge is how to express an irregular computation and its optimizations in a regular way. A sparse matrix has (non-zero) values and a structure. ... More
Productively Expressing High-performance Spatial Designs of Givens Rotation-based QR Decomposition AlgorithmMay 19 2018QR decomposition is used prevalently in wireless communication. In this paper, we express the Givens-rotation-based QR decomposition algorithm on a spatial architecture using T2S (Temporal To Spatial), a high-productivity spatial programming methodology ... More
Recent Experimental Results on Leptonic $D^+_{(s)}$ Decays, Semileptonic $D$ Decays and Extraction of $|V_{cd(s)}|$Nov 14 2014The recent experimental results on leptonic $D^+_{(s)}$ decays, semileptonic $D$ decays, determinations of decay constants and form factors, as well as extractions of $|V_{cd}|$ and $|V_{cs}|$ are briefly reviewed. Global analysis of all existing measurements ... More
Introduction to the iDianOct 15 2010The iDian (previously named as the Operation Agent System) is a framework designed to enable computer users to operate software in natural language. Distinct from current speech-recognition systems, our solution supports format-free combinations of orders, ... More
Collapsed Riemannian manifolds with bounded sectional curvatureApr 18 2003In the last two decades, one of the most important developments in Riemannian geometry is the collapsing theory of Cheeger-Fukaya-Gromov. A Riemannian manifold is called (sufficiently) collapsed if its dimension looks smaller than its actual dimension ... More
Mod-$p$ isogeny classes on Shimura varieties with parahoric level structureJul 31 2017Feb 15 2018We study the special fiber of the integral models for Shimura varieties of Hodge type with parahoric level structure constructed by Kisin and Pappas in [KP]. We show that when the group is residually split, the points in the mod $p$ isogeny classes have ... More
On the degree of automorphisms of quasi-circular domains fixing the originMar 20 2017By using the Bergman representative coordinates, we give the necessary and sufficient condition for the degree of automorphisms of quasi-circular domains fixing the origin to be equal to the resonance order, thus solving a conjecture of the author.
The $D\to ρ$ transition form factors within the QCD light-cone sum rules and the $D$-meson semileptonic decays $D^0 \to ρ^- e^+ ν_e$ and $D^+ \to ρ^0 e^+ ν_e$Aug 20 2018Sep 17 2018The branching ratio of the $D$-meson semileptonic decay $D \to \rho e^+ \nu_e$ measured at the CLEO-c detector based on $0.82~{\rm fb^{-1}}$ data taken at the peak of the $\psi(3770)$ resonance disagrees with the traditional SVZ QCD sum rules analysis ... More
Neutral hidden charm pentaquark states $P_c^0(4380)$ and $P_c^0(4450)$ in $π^-p \to J/ψn$ reactionOct 21 2015Dec 26 2015We investigate the neutral hidden charm pentaquark states $P_c^0(4380)$ and $P_c^0(4450)$ in $\pi^-p \to J/\psi n$ reaction within an effective Lagrangian approach. The background contributions for the process mainly come from $t$-channel $\pi$ and $\rho$ ... More
Recent Bes Results on psi(3770) and D Meson Production and DecayJun 10 2004Using a data sample of 17.7 $\rm pb^{-1}$ collected at 3.773 GeV with the BES-II detector at the BEPC, the cross sections for $D^0 \bar D^{0}$ and $D^+D^-$ productions at 3.773 GeV have been measured. From the data sample about 33 $\rm pb^{-1}$ taken ... More
The Fatou Set for Critically Finite MapsAug 19 2006It is a classical result in complex dynamics of one variable that the Fatou set for a critically finite map on $\mathbf{P}^1$ consists of only basins of attraction for superattracting periodic points. In this paper we deal with critically finite maps ... More
Attractors on $\mathbf{P}^k$Oct 29 2005Aug 21 2006We show that special perturbations of a particular holomorphic map on $\mathbf{P}^k$ give us examples of maps that possess chaotic nonalgebraic attractors. Furthermore, we study the dynamics of the maps on the attractors. In particular, we construct invariant ... More
Supervisor Synthesis to Thwart Cyber Attack with Bounded Sensor Reading AlterationsAug 14 2016Aug 24 2016One of the major challenges about cyber physical systems is how to prevent cyber attacks to ensure system integrity. There has been a large number of different types of attacks discussed in the modern control and computer science communities. In this ... More
Bloch-Siegert shift of the Rabi modelJun 12 2015We apply a simple analytical method based on a unitary transformation to calculate the Bloch-Siegert (BS) shift over the entire driving-strength range. In quantitative comparison with the numerically exact BS shift obtained by Floquet formalism as well ... More
Fast influencers in complex networksMar 15 2019Influential nodes in complex networks are typically defined as those nodes that maximize the asymptotic reach of a spreading process of interest. However, for practical applications such as viral marketing and online information spreading, one is often ... More
Universal enveloping algebras of Poisson Ore extensionsMar 24 2014We prove that the universal enveloping algebra of a Poisson-Ore extension is a length two iterated Ore extension of the original universal enveloping algebra. As consequences, we observe certain ring-theoretic invariants of the universal enveloping algebras ... More
A Comparative Study of Long and Short GRBs. I. Overlapping PropertiesAug 11 2016Gamma ray bursts (GRBs) are classified into long and short categories based on their durations. Broad band studies suggest that these two categories of objects roughly correspond to two different classes of progenitor systems, i.e. compact star mergers ... More
Cryptanalyzing an Image-Scrambling Encryption Algorithm of Pixel BitsJul 06 2016Aug 06 2017Position scrambling (permutation) is widely used in multimedia encryption schemes and some international encryption standards, such as the Data Encryption Standard and the Advanced Encryption Standard. In this article, the authors re-evaluate the security ... More
An Unconditionally Secure Quantum Bit Commitment SchemeMar 04 2004May 10 2004This paper has been withdrawn by the authors,because the proposed protocol is still coverd by the no-go theorem of Mayers, Lo and Chau. We thank H-K. Lo and HF Chau for helpful correspondences.
The Hausdorff dimension of multiply Xiong chaotic setsApr 01 2019We construct a multiply Xiong chaotic set with full Hausdorff dimension everywhere that is contained in some multiply proximal cell for the full shift over finite symbols and the Gauss system respectively.
Observation of "broad" d-wave Feshbach resonances with a triplet structureSep 26 2017Nov 16 2017High partial-wave ($l\ge2$) Feshbach resonance (FR) in an ultracold mixture of $^{85}$Rb-$^{87}$Rb atoms is investigated experimentally aided by a partial-wave insensitive analytic multichannel quantum-defect theory (MQDT). Two "broad" resonances from ... More
Meromorphic functions share three values with their difference operatorsApr 13 2015In the work, we focus on a conjecture due to Z.X. Chen and H.X. Yi[1] which is concerning the uniqueness problem of meromorphic functions share three distinct values with their difference operators. We prove that the conjecture is right for meromorphic ... More
Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimesSep 26 2015Oct 22 2015The vacuum Einstein equations in 5+1 dimensions are shown to admit solutions describing naked singularity formation in gravitational collapse from nonsingular asymptotically locally flat initial data. We present a class of specific examples with spherical ... More
A note on the duality between Poisson homology and cohomologyApr 18 2014For a Poisson algebra $A$, by studying its universal enveloping algebra $A^{pe}$, we prove a duality theorem between Poisson homology and cohomology of $A$.
Properties of white dwarfs in Einstein-$Λ$ gravityApr 25 2018Dec 09 2018In this paper, we explore the properties of white dwarfs with the modified TOV equation in Einstein-$\Lambda$ gravity, the equilibrium configurations predict a maximum mass limit for white dwarfs same as the Chandrasekhar limit when we consider $\Lambda$ ... More
Coded Distributed Computing with Heterogeneous Function AssignmentsFeb 27 2019Coded distributed computing (CDC) introduced by Li et. al. is an effective technique to trade computation load for communication load in a MapReduce framework. CDC achieves an optimal trade-off by duplicating map computations at $r$ computing nodes to ... More
Coded Distributed Computing with Heterogeneous Function AssignmentsFeb 27 2019Mar 01 2019Coded distributed computing (CDC) introduced by Li et. al. is an effective technique to trade computation load for communication load in a MapReduce framework. CDC achieves an optimal trade-off by duplicating map computations at $r$ computing nodes to ... More
Towards Practical File Packetizations in Wireless Device-to-Device Caching NetworksDec 19 2017We consider wireless device-to-device (D2D) caching networks with single-hop transmissions. Previous work has demonstrated that caching and coded multicasting can significantly increase per user throughput. However, the state-of-the-art coded caching ... More
A New Design of Private Information Retrieval for Storage Constrained DatabasesJan 22 2019Private information retrieval (PIR) allows a user to download one of $K$ messages from $N$ databases without revealing to any database which of the $K$ messages is being downloaded. In general, the databases can be storage constrained where each database ... More
Exclusive event generator for $e^+e^-$ scan experimentsSep 16 2013Mar 26 2014An exclusive event generator is designed for the $e^+e^-$ scan experiments with the initial state radiation effects up to the second order correction included. There are seventy hadronic decay modes available with the effective center-of-mass energy coverage ... More
A positivity-preserving scheme for the simulation of streamer discharges in non-attaching and attaching gasesJun 04 2013Assumed having axial symmetry, the streamer discharge is often described by a fluid model in cylindrical coordinate system, which consists of convection dominated (diffusion) equations with source terms, coupled with a Poisson's equation. Without additional ... More
A definite recursive relation and some statistical properties for Möbius functionAug 15 2016Aug 22 2016An elementary recursive relation for M$\ddot{\mathrm{o}}$bius function $\mu (n)$ is introduced by two simple ways. With this recursive relation, $\mu (n)$ can be calculated without directly knowing the factorization of the $n$. $\mu (1) \sim \mu (2 \times ... More
Large-scale structure in superfluid Chaplygin gas cosmologyDec 09 2013Apr 07 2014We investigate the growth of large-scale structure in the superfluid Chaplygin gas (SCG) model. Both linear and non-linear growth, such as $\sigma_8$ and the skewness $S_3$, are discussed. We find the growth factor of SCG reduces to the EdS case at early ... More
Deterministic scale-free networks created in a recursive mannerDec 07 2005In a recursive way and by including a parameter, we introduce a family of deterministic scale-free networks. The resulting networks exhibit small-world effects. We calculate the exact results for the degree exponent, the clustering coefficient and the ... More
Maximum Lifetime for Data Regeneration in Wireless Sensor NetworksDec 28 2010Jun 15 2011Robust distributed storage systems dedicated to wireless sensor networks utilize several nodes to redundantly store sensed data so that when some storage nodes fail, the sensed data can still be reconstructed. For the same level of redundancy, erasure ... More
Lepton mixing patterns from the group $Σ(36\times3)$ with a generalized CP transformationApr 19 2016Apr 23 2017The group $\Sigma(36\times3)$ with the generalized CP transformation is introduced to predict the mixing pattern of leptons. Various combinations of abelian residual flavor symmetries with CP transformations are surveyed. Six mixing patterns could accommodate ... More
Propose economical and stable lepton mass matrices with texture zerosMar 04 2016There are many viable combinations of texture zeros in lepton mass matrices. We propose an economical and stable mass texture. Analytical and numerical results on mixing parameters and the effective mass of neutrinos are obtained. These results satisfy ... More
Lepton mixing patterns from combinations of elementary correlationsJan 16 2016Recent data of reactor neutrino experiments set more stringent constraint on leptonic mixing patterns. We examine all possible patterns on the basis of combinations of elementary correlations of elements of leptonic mixing matrix. we obtain 62 viable ... More
An empirical partition function for two-dimensional Ising Model in an external magnetic fieldMay 10 2019There is no an accepted exact partition function (PF) for the two-dimensional (2D) Ising model with a non-zero external magnetic field to our knowledge. Here we infer an empirical PF for such an Ising model. We compare the PFs for two finite-size Ising ... More
An empirical partition function for the simple cubic Ising Model with a zero external magnetic fieldMay 08 2019There is no an accepted exact partition function (PF) for the three dimensional (3D) Ising model to our knowledge. Mainly based on the connection between the lattice Green function (LGF) for the simple cubic lattice and that for the honeycomb lattice, ... More
Orbital-selective Mott Phase in Multiorbital Models for Alkaline Iron Selenides K(1-x)Fe(2-y)Se2Aug 28 2012We study a multiorbital model for the alkaline iron selenides K(1-x)Fe(2-y)Se2 using a slave-spin method. With or without ordered vacancies, we identify a metal-to-Mott-insulator transition at the commensurate filling of six 3d electrons per iron ion. ... More
U(1) Slave-spin theory and its application to Mott transition in a multi-orbital model for iron pnictidesFeb 28 2012A U(1) slave-spin representation is introduced for multi-orbital Hubbard models. As with the $Z_2$ form of L. de'Medici et al. (Phys. Rev. B 72, 205124 (2005)), this approach represents a physical electron operator as the product of a slave spin and an ... More
Derivation Hom-Lie 2-algebras and non-abelian extensions of Hom-Lie algebrasNov 04 2016In this paper, we introduce the notion of a derivation of a Hom-Lie algebra and construct the corresponding strict Hom-Lie 2-algebra, which is called the derivation Hom-Lie 2-algebra. As applications, we study non-abelian extensions of Hom-Lie algebras. ... More
Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varietiesNov 27 2018Nov 28 2018We analyze the asymptotic behavior of certain twisted orbital integrals arising from the study of affine Deligne-Lusztig varieties. The main tools include the Base Change Fundamental Lemma and $q$-analogues of the Kostant partition functions. As an application ... More
$ΔΔ$ dibaryon structure in extended chiral SU(3) quark modelJul 17 2005The structure of $\Delta\Delta$ dibaryon is studied in the extended chiral SU(3) quark model in which vector meson exchanges are included. The effect from the vector meson fields is very similar to that from the one-gluon exchange (OGE) interaction. Both ... More
Quark-antiquark and diquark condensates in vacuum in two-flavor four-fermion interaction models with any color number $N_c$Apr 29 2009The color number $N_c$-dependence of the interplay between quark-antiquark condensates $<\bar{q}q>$ and diquark condensates $<qq>$ in vacuum in two-flavor four-fermion interaction models is researched. The results show that the $G_S$-$H_S$ (the coupling ... More
Effective potential for composite operators and for an auxiliary scalar field in a Nambu-Jona-Lasinio modelDec 12 2003We derive the effective potentials for composite operators in a Nambu-Jona-Lasinio (NJL) model at zero and finite temperature and show that in each case they are equivalent to the corresponding effective potentials based on an auxiliary scalar field. ... More