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Noncommutative Differential Calculus for D-brane in Non-Constant B Field BackgroundMay 19 2001Jun 05 2001In this paper we try to construct noncommutative Yang-Mills theory for generic Poisson manifolds. It turns out that the noncommutative differential calculus defined in an old work is exactly what we need. Using this calculus, we generalize results about ... More

On classical global solutions of nonlinear wave equations with large dataJul 16 2014Dec 29 2015This paper studies the Cauchy problem for systems of semi-linear wave equations on $\mathbb{R}^{3+1}$ with nonlinear terms satisfying the null conditions. We construct future global-in-time classical solutions with arbitrarily large initial energy. The ... More

P-P' Strings in M(atrix) TheoryJun 10 1997Dec 02 1997We study the off-diagonal blocks in the M(atrix) model that are supposed to correspond to open strings stretched between a Dp-brane and a Dp'-brane. It is shown that the spectrum, including the quantum numbers, of the zero modes in the off-diagonal blocks ... More

The Quantum-Corrected Fermion Mode Function during InflationMay 05 2007My project computed the one loop fermion self-energy for massless Dirac + Einstein in the presence of a locally de Sitter background. I employed dimensional regularization and obtain a fully renormalized result by absorbing all divergences with Bogliubov, ... More

Topological Hybrid Silicon MicrolasersSep 08 2017Topological photonics provides a robust framework for strategically controlling light confinement and propagation dynamics. By exploiting the marriage between this notion and symmetry-constrained mode competition in an active setting, we experimentally ... More

Fuzzy Spheres in AdS/CFT Correspondence and Holography from NoncommutativityApr 11 2000Apr 29 2000We show that the existent fuzzy S^2 and S^4 models are natural candidates for the quantum geometry on the corresponding spheres in AdS/CFT correspondence. These models fit nicely the data from the dipole mechanism for the stringy exclusion principle. ... More

Large N Expansion From Fuzzy AdS_2May 29 2000We study the quantum analogue of primary fields and their descendants on fuzzy AdS_2, proposed in hep-th/0004072. Three-point vertices are calculated and shown to exhibit the conventional 1/N expansion as well as nonperturtive effects in large N, thus ... More

The Fermion Self-Energy during InflationNov 26 2005Feb 06 2006We compute the one loop fermion self-energy for massless Dirac + Einstein in the presence of a locally de Sitter background. We employ dimensional regularization and obtain a fully renormalized result by absorbing all divergences with BPHZ counterterms. ... More

Graviton one-loop effective action and inflationary dynamicsJul 02 2008We consider the one-loop effective action due to gravitons in a FLRW background with constant epsilon=-(dH/dt)/H^2. By expanding around epsilon=0 (corresponding to an expansion around de Sitter space), we can study how the deviation from de Sitter space ... More

Gravitons Enhance Fermions during InflationMar 31 2006May 11 2008We solve the effective Dirac equation for massless fermions during inflation in the simplest gauge, including all one loop corrections from quantum gravity. At late times the result for a spatial plane wave behaves as if the classical solution were subjected ... More

Strange Work in Strange Places: Quantum Field Theory in Curved SpaceMay 24 2015Astronomers seem to be observing the fossilized remnants of quantum gravitational processes which took place during the epoch of {\it primordial inflation} that is conjectured to have occurred during the first $10^{-32}$ seconds of cosmic history. We ... More

A Simple Operator Check of the Effective Fermion Mode Function during InflationMar 16 2008Jun 25 2008We present a relatively simple operator formalism which reproduces the leading infrared logarithm of the one loop quantum gravitational correction to the fermion mode function on a locally de Sitter background. This rule may serve as the basis for an ... More

Leading Log Solution for Inflationary YukawaFeb 27 2006May 11 2008We generalize Starobinskii's stochastic technique to the theory of a massless, minimally coupled scalar interacting with a massless fermion in a locally de Sitter geometry. The scalar is an ``active'' field that can engender infrared logarithms. The fermion ... More

Probing charged impurities in suspended graphene using Raman spectroscopyDec 22 2008Feb 19 2009Charged impurity (CI) scattering is one of the dominant factors that affect the carrier mobility in graphene. In this paper, we use Raman spectroscopy to probe the charged impurities in suspended graphene. We find that the 2D band intensity is very sensitive ... More

Future Reactor ExperimentsOct 28 2013The measurement of the neutrino mixing angle $\theta_{13}$ opens a gateway for the next generation experiments to measure the neutrino mass hierarchy and the leptonic CP-violating phase. Future reactor experiments will focus on mass hierarchy determination ... More

Kaldi+PDNN: Building DNN-based ASR Systems with Kaldi and PDNNJan 27 2014The Kaldi toolkit is becoming popular for constructing automated speech recognition (ASR) systems. Meanwhile, in recent years, deep neural networks (DNNs) have shown state-of-the-art performance on various ASR tasks. This document describes our open-source ... More

A theory of nonequilibrium steady states in quantum chaotic systemsJul 18 2016Nonequilibrium steady state (NESS) is a quasistationary state, in which exist currents that continuously produce entropy, but the local observables are stationary everywhere. We propose a theory of NESS under the framework of quantum chaos. In an isolated ... More

Exponential decay and symmetry of solitary waves to the Degasperis-Procesi equationJan 20 2019Aug 02 2019We improve the decay argument by [Bona and Li, J. Math. Pures Appl., 1997] for solitary waves of general dispersive equations and illustrate it in the proof for the exponential decay of solitary waves to steady Degasperis-Procesi equation in the nonlocal ... More

Matrix Theory in a Constant C Field BackgroundNov 19 1999Dec 04 1999D0-branes moving in a constant antisymmetric C field are found to be described by quantum mechanics of the supersymmetric matrix model with a similarity transformation. Sometimes this similarity transformation is singular or ill-defined and cannot be ... More

Fractal Dimension Pattern Based Multiresolution Analysis for Rough Estimator of Person-Dependent Audio Emotion RecognitionJul 01 2016As a general means of expression, audio analysis and recognition has attracted much attentions for its wide applications in real-life world. Audio emotion recognition (AER) attempts to understand emotional states of human with the given utterance signals, ... More

Jung's Theorem and fixed points for $p$-uniformly convex spacesMay 07 2013We introduce the classical Jung theorem and fixed point theorems and prove similar ones for $p$-uniformly convex spaces.

The STIRAP-based unitary decelerating and accelerating processes of a single free atomJul 01 2007May 10 2009A STIRAP-based unitary decelerating (accelerating) process consists of a train of the standard three-state STIRAP pulse sequences which may act as the basic unitary decelerating (accelerating) sequences. The present work is focused on investigating analytically ... More

The basic principles to construct a generalized state-locking pulse field and simulate efficiently the reversible and unitary halting protocol of a universal quantum computerJul 20 2006Nov 27 2006It has been shown (Arxiv: quant-ph/0507236) that a universal quantum computer could be powerful enough to solve efficiently the quantum search problem, and the reversible and unitary halting protocol based on the state-locking pulse field is the key component ... More

A Defect in Dempster-Shafer TheoryFeb 27 2013By analyzing the relationships among chance, weight of evidence and degree of beliefwe show that the assertion "probability functions are special cases of belief functions" and the assertion "Dempster's rule can be used to combine belief functions based ... More

The excitation operator method in the spin dynamics of the one-dimensional XXZ modelJul 08 2012Jul 12 2012We develop the excitation operator method, which is designed to solve the Heisenberg equation of motion by constructing the excitation operators. We use it to study the spin dynamics in the one-dimensional XXZ model. We find the diffusive spin transport ... More

Probing Hot and Dense Nuclear Matter with Particle Correlations and Jets at RHICOct 07 2011The hot and dense medium created at RHIC, called Quark and Gluon Plasma (QGP) has been a hot topic in the last ten years. Due to the high multiplicities in such heavy-ion collision events, particle correlations using either trigger particles, or fully-reconstructed ... More

A symmetry property for q-weighted Robinson-Schensted algorithms and other branching insertion algorithmsJun 10 2013Jun 11 2013In O'Connell-Pei(2013) a q-weighted version of the Robinson-Schensted algorithm was introduced. In this paper we show that this algorithm has a symmetry property analogous to the well known symmetry property of the normal Robinson-Schensted algorithm. ... More

A New Model of Holographic Dark Energy with Action PrincipleOct 03 2012Nov 23 2012We propose a new model of holographic dark energy with an action. It is the first time that one can derive a HDE model from the action principle. The puzzles of causality and circular logic about HDE have been completely solved in this model. The evolution ... More

Explicit expressions for a family of Bell polynomials and derivatives of some functionsApr 27 2014May 11 2014In the paper, the authors first inductively establish explicit formulas for derivatives of the arc sine function, then derive from these explicit formulas explicit expressions for a family of Bell polynomials related to the square function, and finally ... More

Pulsar Candidate Selection Using Ensemble Networks for FAST Drift-Scan SurveyMar 15 2019The Commensal Radio Astronomy Five-hundred-meter Aperture Spherical radio Telescope (FAST) Survey (CRAFTS) utilizes the novel drift-scan commensal survey mode of FAST and can generate billions of pulsar candidate signals. The human experts are not likely ... More

A Class of Cosmological Matrix ModelsJun 30 2005Oct 24 2005We discuss a class of matrix models describing cosmology with a light-like singularity, generalizing the model proposed by Craps et al. in hep-th/0506180.

Extended Bose-Hubbard model in a shaken optical latticeJun 15 2015Sep 03 2015We study an extended Bose-Hubbard model with next-nearest-neighbor (NNN) hopping in a shaken optical lattice. We show how mean-field phase diagram evolves with the change of NNN hopping amplitude $t_{2}$, which can be easily tuned via shaking amplitude. ... More

Quantum search processes in the cyclic group state spacesJul 25 2005Sep 21 2005The hardness to solve an unstructured quantum search problem by a standard quantum search algorithm mainly originates from the low efficiency to amplify the amplitude of the marked state by the oracle unitary operation associated with other known quantum ... More

Universal construction for the unsorted quantum search algorithmsJan 26 2001Jun 20 2001The multiple-quantum operator algebra formalism has been exploited to construct generally an unsorted quantum search algorithm. The exponential propagator and its corresponding effective Hamiltonian are constructed explicitly that describe in quantum ... More

A convenient method to prepare the effective pure state in a quantum ensembleAug 23 2000A simple method is proposed to prepare conveniently the effective pure state |00...0><0...00| with any number of qubits in a quantum ensemble. The preparation is based on the temporal averaging (Knill, Chuang, and Laflamme, Phys.Rev.A 57, 3348(1998)). ... More

A prime factorization based on quantum dynamics on a spin ensemble (I)Feb 20 2003In this paper it has been described how to use the unitary dynamics of quantum mechanics to solve the prime factorization problem on a spin ensemble without any quantum entanglement. The ensemble quantum computation for the prime factorization is based ... More

Jet Studies in STAR via 2+1 CorrelationsOct 07 2011This paper reports analysis on jet-medium interactions and di-jet surface emission bias at RHIC, based on a new multi-hadron correlation technique called \texttt{2+1} where back-to-back high $p_{T}$ hadron triggers work as proxy of di-jets. In contrast ... More

A counterexample to Las Vergnas' strong map conjecture on realizable oriented matroidsMar 19 2018Apr 22 2019The Las Vergnas' strong map conjecture, states that any strong map of oriented matroids $f:\mathcal{M}_1\rightarrow\mathcal{M}_2$ can be factored into extensions and contractions. The conjecture is known to be false due to a construction by Richter-Gebert, ... More

Induction and restriction functors for cellular categoriesJan 23 2017Jan 25 2017Cellular categories are a generalization of cellular algebras, which include a number of important categories such as (affine)Temperley-Lieb categories, Brauer diagram categories, partition categories, the categories of invariant tensors for certain quantised ... More

Continuous data assimilation for the 3D primitive equations of the oceanMay 13 2018In this article, we show that the continuous data assimilation algorithm is valid for the 3D primitive equations of the ocean. Namely, the $L^2$ norm of the assimilated solution converge to that of the reference solution at an exponential rate in time. ... More

Violation of the first law of black hole thermodynamics in $f(T)$ gravityJul 04 2011Nov 17 2011We prove that, in general, the first law of black hole thermodynamics, $\delta Q=T\delta S$, is violated in $f(T)$ gravity. As a result, it is possible that there exists entropy production, which implies that the black hole thermodynamics can be in non-equilibrium ... More

Degrees of freedom of $f(T)$ gravityMay 30 2011Jul 29 2011We investigate the Hamiltonian formulation of $f(T)$ gravity and find that there are five degrees of freedom. The six first class constraints corresponding to the local Lorentz transformation in Teleparallel gravity become second class constraints in ... More

Einstein Equations From Holographic Thermodynamics and Holographic EntropyJul 03 2012Jul 08 2012We derive the Einstein field equations and black hole entropy from the first law of thermodynamics on a holographic time-like screen. Because of the universality of gravity, the stress tensor on the screen must be independent of the details of matter ... More

f(R) Gravity and Maxwell Equations from the Holographic PrincipleFeb 06 2011Feb 21 2011Extending the holographic program of [1], we derive f(R) gravity and the Maxwell equations from the holographic principle, using time-like holographic screen. We find that to derive the Einstein equations and f(R) gravity in a natural holographic approach, ... More

A New Entropic Force Scenario and Holographic ThermodynamicsNov 15 2010Nov 25 2010We propose a new holographic program of gravity in which we introduce a surface stress tensor. Our proposal differs from Verlinde's in several aspects. First, we use an open or a closed screen, a temperature is not necessary but a surface energy density ... More

Metamaterials Mimicking Dynamic Spacetime, D-brane and Noncommutativity in String TheoryMay 31 2010Feb 03 2011We propose an executable scheme to mimic the expanding cosmos in 1+2 dimensions in laboratory. Furthermore, we develop a general procedure to use nonlinear metamaterials to mimic D-brane and noncommutativity in string theory.

Cosmology with Coupled Gravity and Dark EnergySep 01 2014Jan 13 2015Dark energy is a fundamental constituent of our universe, its status in the cosmological field equation should be equivalent to that of gravity. Here we construct a dark energy and matter gravity coupling (DEMC) model of cosmology in a way that dark energy ... More

Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian systemNov 14 2013Jul 20 2017This paper contains two parts. In the first part, we shall study the Abelian integrals for Zoladek's example [13], in which it is claimed the existence integrals of 11 small-amplitude limit cycles around a singular point in a particular cubic vector filed. ... More

Four limit cycles from perturbing quadratic integrable systems by quadratic polynomialsFeb 04 2010In this paper, we give a positive answer to the open question: Can there exist 4 limit cycles in quadratic near-integrable polynomial systems? It is shown that when a quadratic integrable system has two centers and is perturbed by quadratic polynomials, ... More

Total mean curvature, scalar curvature, and a variational analog of Brown-York massApr 04 2016May 05 2016We study the supremum of the total mean curvature on the boundary of compact, mean-convex 3-manifolds with nonnegative scalar curvature, and a prescribed boundary metric. We establish an additivity property for this supremum and exhibit rigidity for maximizers ... More

Language as a Latent Variable: Discrete Generative Models for Sentence CompressionSep 23 2016In this work we explore deep generative models of text in which the latent representation of a document is itself drawn from a discrete language model distribution. We formulate a variational auto-encoder for inference in this model and apply it to the ... More

A Note on Holographic Weyl Anomaly and Entanglement EntropySep 01 2013Feb 06 2014We develop a general approach to simplify the derivation of the holographic Weyl anomaly. As an application, we derive the holographic Weyl anomaly from general higher derivative gravity in asymptotically $AdS_{5}$ and $AdS_{7}$. Interestingly, to derive ... More

Universal Terms of Entanglement Entropy for 6d CFTsMar 18 2015Sep 21 2015We derive the universal terms of entanglement entropy for 6d CFTs by applying the holographic and the field theoretical approaches, respectively. Our formulas are conformal invariant and agree with the results of [34,35]. Remarkably, we find that the ... More

On optimal weak algebraic manipulation detection codes and weighted external difference familiesMay 04 2019Jun 13 2019This paper provides a combinatorial characterization of weak algebraic manipulation detection (AMD) codes via a kind of generalized external difference families called bounded standard weighted external difference families (BSWEDFs). By means of this ... More

Spectra of the subdivision-vertex and subdivision-edge coronaeFeb 03 2013Jul 27 2013The subdivision graph $\mathcal{S}(G)$ of a graph $G$ is the graph obtained by inserting a new vertex into every edge of $G$. Let $G_1$ and $G_2$ be two vertex disjoint graphs. The \emph{subdivision-vertex corona} of $G_1$ and $G_2$, denoted by $G_1\odot ... More

Satellite capture mechanism in a sun-planet-binary four-body systemApr 27 2018This paper studies the binary disruption problem and asteroid capture mechanism in a sun-planet-binary four-body system. Firstly, the binary disruption condition is studied and the result shows that the binary is always disrupted at the perigee of their ... More

Mass-dependent Lorentz Violation and Neutrino VelocitySep 27 2011Feb 21 2012Motivated by a recent and several earlier measurement results of the neutrino velocity, we attempt to resolve the apparent discrepancies between them from the viewpoint of mass-energy relation in special relativity. It is argued that a complicated tachyonic ... More

Global well-posedness of the critical Burgers equation in critical Besov spacesMay 22 2008Oct 24 2008We make use of the method of modulus of continuity \cite{K-N-S} and Fourier localization technique \cite{A-H} to prove the global well-posedness of the critical Burgers equation $\partial_{t}u+u\partial_{x}u+\Lambda u=0$ in critical Besov spaces $\dot{B}^{\frac{1}{p}}_{p,1}(\mathbb{R})$ ... More

A simple approach to describe hadron production rates in inelastic pp and p$\bar{p}$ collisionsMar 05 1997We show that the production rates of light-flavoured mesons and baryons in inelastic pp and p$\bar{p}$ collisions can be described by a simple approach used to describe data obtained in $e^{+}e^{-}$ annihilation. Based on the idea of string fragmentation, ... More

Double type-II Dirac seesaw accompanied by Dirac fermionic dark matterJul 25 2019A TeV-scale Higgs doublet with a small mixing to the standard model Higgs doublet can have the sizable Yukawa couplings to several right-handed neutrinos and the standard model lepton doublets. This provides a testable Dirac neutrino mass generation. ... More

Nonlinear Continuous Data AssimilationMar 10 2017We introduce three new nonlinear continuous data assimilation algorithms. These models are compared with the linear continuous data assimilation algorithm introduced by Azouani, Olson, and Titi (AOT). As a proof-of-concept for these models, we computationally ... More

Thermal evolution of rotating hybrid starsSep 23 2006Feb 28 2007As a neutron star spins down, the nuclear matter continuously is converted into quark matter due to the core density increase and then latent heat is released. We have investigated the thermal evolution of neutron stars undergoing such deconfinement phase ... More

Language as a Latent Variable: Discrete Generative Models for Sentence CompressionSep 23 2016Oct 14 2016In this work we explore deep generative models of text in which the latent representation of a document is itself drawn from a discrete language model distribution. We formulate a variational auto-encoder for inference in this model and apply it to the ... More

Effective Framework of kappa-Minkowski Spacetime and Its ApplicationMar 25 2009Aug 07 2009This paper has been withdrawn by the author because it needs to be rewritten completely.

New Born-Infeld and $Dp$-Brane Actions under 2-Metric and 3-Metric PrescriptionsDec 28 2006Mar 14 2007The parent action method is utilized to the Born-Infeld and $Dp$-brane theories. Various new forms of Born-Infeld and $Dp$-brane actions are derived by using this systematic approach, in which both the already known 2-metric and newly proposed 3-metric ... More

Simulations on the Heavy Hadron Transport at RHICJun 22 2007Based on the hadron transport frames, detailed simulations are carried out to discuss $\phi$, $\Omega$ productions and the significant enhancements in the very low $p_T$ region for some of the soft spectra in RHIC. Elastic interactions are introduced ... More

On reconstruction of dynamic permeability and tortuosity from data at distinct frequenciesNov 13 2013May 28 2014This article focuses on the mathematical problem of reconstructing dynamic permeability $K(\omega)$ of two-phase composites from data at different frequencies, utilizing the analytic structure of the Stieltjes function representation of $K(\omega)$ derived ... More

The Evolution of Natural Cities from the Perspective of Location-Based Social MediaJan 27 2014Mar 22 2014This paper examines the former location-based social medium Brightkite, over its three-year life span, based on the concept of natural cities. The term 'natural cities' refers to spatially clustered geographic events, such as the agglomerated patches ... More

On the global well-posedness for the Boussinesq system with horizontal dissipationMar 07 2012In this paper, we investigate the Cauchy problem for the tridimensional Boussinesq equations with horizontal dissipation. Under the assumption that the initial data is an axisymmetric without swirl, we prove the global well-posedness for this system. ... More

On the regularity of a class of generalized quasi-geostrophic equationsNov 29 2010In this article we consider the following generalized quasi-geostrophic equation \partial_t\theta + u\cdot\nabla \theta + \nu \Lambda^\beta \theta =0, \quad u= \Lambda^\alpha \mathcal{R}^\bot\theta, \quad x\in\mathbb{R}^2, where $\nu>0$, $\Lambda:=\sqrt{-\Delta}$, ... More

Global Wellposedness for a Modified Critical Dissipative Quasi-Geostrophic EquationJan 10 2009Jan 11 2011In this paper we consider the following modified quasi-geostrophic equation \partial_{t}\theta+u\cdot\nabla\theta+\nu |D|^{\alpha}\theta=0, \quad u=|D|^{\alpha-1}\mathcal{R}^{\bot}\theta,\quad x\in\mathbb{R}^2 with $\nu>0$ and $\alpha\in ]0,1[\,\cup \,]1,2[$. ... More

Observational evidence for AGNs feedback at parsec scaleMay 24 2011In a hot accretion flow, the radiation from the innermost region of the flow propagates outward and heats the electrons at large radii via Compton scattering. It has been shown in previous works that if the radiation is strong enough, $L\ga 2%L_{\rm Edd}$, ... More

Holographic de Sitter UniverseApr 30 2011May 13 2011We propose to embed de Sitter space into five dimensional anti-de Sitter space to compute some physical quantities of interest, using the AdS/CFT correspondence. The static de Sitter can be considered as the conformal structure of the boundary of the ... More

Inequalities on the boundary of bodies surrounding horizonsOct 24 2016Inspired by the method of Mantoulidis-Schoen \cite{schoen-mant}, we apply the Riemannian Penrose inequality to derive inequalities on the boundary of compact Riemannian $3$-manifolds with nonnegative scalar curvature, whose boundary consists of minimal ... More

Dual condensates at finite isospin chemical potentialJul 26 2015The dual observables as order parameters for center symmetry are tested at finite isospin chemical potential $\mu_I$ in a Polyakov-loop enhanced chiral model of QCD with physical quark masses. As a counterpart of the dressed Polyakov-loop, the first Fourier ... More

Bulk thermodynamics and charge fluctuations at non-vanishing baryon densityOct 23 2007We present results on bulk thermodynamic quantities as well as net baryon number, strangeness and electric charge fluctuations in QCD at non-zero density and temperature obtained from lattice calculations with almost physical quark masses for two values ... More

The Measure for the Multiverse and the Probability for InflationApr 09 2007We investigate the measure problem in the framework of inflationary cosmology. The measure of the history space is constructed and applied to inflation models. Using this measure, it is shown that the probability for the generalized single field slow ... More

Typicality, Freak Observers and the Anthropic Principle of ExistenceAug 30 2007We propose an alternative anthropic probability for calculating the probabilities in eternal inflation. This anthropic probability follows naturally from the weak anthropic principle, and does not suffer the freak observer or the typicality problems. ... More

Noncommutative Extension of Minkowski Spacetime and Its Primary ApplicationDec 27 2009Apr 29 2010We propose a noncommutative extension of the Minkowski spacetime by introducing a well-defined proper time from the kappa-deformed Minkowski spacetime related to the standard basis. The extended Minkowski spacetime is commutative, i.e. it is based on ... More

M2-branes Coupled to Antisymmetric FluxesMay 22 2008Jul 21 2008By turning on antisymmetric background fluxes, we study how multiple M2-branes are coupled to them. Our investigation concentrates on the gauge invariance conditions for the Myers-Chern-Simons action. Furthermore, the dimensional reduction of M2-branes ... More

Cs in high oxidation states and as a p-block elementDec 27 2012The major chemical feature of an element is the number of electrons available for forming chemical bonds. A doctrine rooted in the atomic shell model states that the atoms will maintain a complete inner shell while interacting with other atoms. Therefore, ... More

Bounds on Traceability SchemesSep 27 2016The Stinson-Wei traceability scheme (known as traceability scheme) was proposed for broadcast encryption as a generalization of the Chor-Fiat-Naor traceability scheme (known as traceability code). Cover-free family was introduced by Kautz and Singleton ... More

Quantification of propidium iodide delivery with millisecond electric pulses: A model studyJan 27 2014A model study of propidium iodide delivery with millisecond electric pulses is presented; this work is a companion of the experimental efforts by Sadik et al. [1]. Both membrane permeabilization and delivery are examined with respect to six extra-cellular ... More

Existence theorem and blow-up criterion of strong solutions to the two-fluid MHD equation in ${\mathbb R}^3$Nov 07 2006Mar 13 2007We first give the local well-posedness of strong solutions to the Cauchy problem of the 3D two-fluid MHD equations, then study the blow-up criterion of the strong solutions. By means of the Fourier frequency localization and Bony's paraproduct decomposition, ... More

A Flat Strip Theorem for Ptolemaic SpacesMay 04 2012We prove a flat strip theorem for 2-dimensional ptolemaic spaces.

On the local base set of primitive and nonpowerful signed digraphsJul 03 2014In this paper, we consider the local bases of primitive nonpowerful sign pattern matrices, show that there are "gaps" in the local base set and characterize some sign pattern matrices with given local bases.

Factorization tests and algorithms arising from counting modular forms and automorphic representationsSep 07 2017Jun 21 2018A theorem of Gekeler compares the number of non-isomorphic automorphic representations associated with the space of cusp forms of weight $k$ on $\Gamma_0(N)$ to a simpler function of $k$ and $N$, showing that the two are equal whenever $N$ is squarefree. ... More

On the formation of shocks for quasilinear wave equationsDec 09 2014Oct 12 2016The paper is devoted to the study of shock formation of the 3-dimensional quasilinear wave equation \begin{equation}\label{Main Equation} - \big(1+3G^{\prime\prime}(0) (\partial_t\phi)^2\big)\partial^2_t \phi +\Delta\phi=0,\tag{\textbf{$\star$}} \end{equation} ... More

The Defocusing Energy-critical Klein-Gordon-Hartree EquationAug 16 2019In this paper, we study the scattering theory for the defocusing energy-critical Klein-Gordon equation with a cubic convolution $u_{tt}-\Delta u+u+(|x|^{-4}\ast|u|^2)u=0$ in the spatial dimension $d \geq 5$. We utilize the strategy in [S. Ibrahim, N. ... More

Axino dark matter in light of an anomalous X-ray lineMar 26 2014May 30 2014Axino as the superpartner of axion that solves the strong CP problem can be a good candidate of dark matter. Inspired by the 3.5 keV X-ray line signal found to be originated from galaxy clusters and Andromeda galaxy, we study axino models with R-parity ... More

Existence and Stability of Solutions to Non-Lipschitz Stochastic Differential Equations Driven by Lévy NoiseMay 14 2014In this paper, the successive approximation method is applied to investigate the existence and uniqueness of solutions to the stochastic differential equations (SDEs) driven by L\'evy noise under non-Lipschitz condition which is a much weaker condition ... More

Submodular Function Maximization over Distributive and Integer LatticesMay 20 2015Nov 27 2016The problem of maximizing non-negative submodular functions has been studied extensively in the last few years. However, most papers consider submodular set functions. Recently, several advances have been made for the more general case of submodular functions ... More

Comparing neutron star predictions by various microscopic modelsJun 01 2009We calculate several neutron star properties, for static and/or rotating stars, using equations of state based on different microscopic models. These include our Dirac-Brueckner-Hartree-Fock model and others derived from the non-relativistic Brueckner-Hartree-Fock ... More

The neutron skin of $^{208}$Pb and the density dependence of the symmetry energyDec 29 2008Jan 19 2009We explore neutron skin predictions for $^{208}$Pb in relation to the symmetry pressure in various microscopic models based on realistic nucleon-nucleon potentials and either the Dirac-Brueckner-Hartree-Fock approach or the conventional Brueckner-Hartree-Fock ... More

On Distributed Storage Allocations of Large Files for Maximum Service RateAug 08 2018Allocation of (redundant) file chunks throughout a distributed storage system affects important performance metrics such as the probability of file recovery, data download time, or the service rate of the system under a given data access model. This paper ... More

Nambu Bracket for M TheoryDec 01 2009Jan 19 2010In this article we give a concise review of recent progress in our understanding of the Lie 3-algebra and their application to the Bagger-Lambert-Gustavsson model describing multiple M2-branes in M theory.

Thermal fission rates with temperature dependent fission barriersMay 15 2016Aug 19 2016The fission processes of thermal excited nuclei are conventionally studied by statistical models which rely on inputs of phenomenological level densities and potential barriers. Therefore the microscopic descriptions of spontaneous fission and induced ... More

In-Network Neighborhood-Based Node Similarity Measure: A Unified Parametric ModelOct 13 2015Oct 17 2015In many applications, we need to measure similarity between nodes in a large network based on features of their neighborhoods. Although in-network node similarity based on proximity has been well investigated, surprisingly, measuring in-network node similarity ... More

Microscopic description of neutron emission rates in compound nucleiSep 13 2014Nov 02 2014The neutron emission rates in thermal excited nuclei are conventionally described by statistical models with a phenomenological level density parameter that depends on excitation energies, deformations and mass regions. In the microscopic view of hot ... More

Could a Classical Probability Theory Describe Quantum Systems?Mar 09 2005Sep 12 2008Quantum Mechanics (QM) is a quantum probability theory based on the density matrix. The possibility of applying classical probability theory, which is based on the probability distribution function(PDF), to describe quantum systems is investigated in ... More