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Landau-Zener-Stuckelberg interferometry of a single electron spin in a noisy environmentJun 08 2011We demonstrate quantum coherent control of a single electron spin in a NV center in diamond using the Landau-Zener-Stuckelberg interferometry at room temperature. Interference pattern is observed oscillating as a function of microwave frequency. The decays ... More

Observation of dynamical phase transitions in a topological nanomechanical systemJul 12 2018Aug 26 2018Dynamical phase transitions, characterized by non-analytic behaviors in time domain, extend the equilibrium phase transitions to far-from-equilibrium situations. Furthermore, it's predicted that the dynamical phase transitions can be precisely identified ... More

Observation of Time-domain Rabi Oscillations in the Landau-Zener Regime with a Single Electronic SpinMay 01 2013Under resonant conditions, a long sequence of landau-zener transitions can lead to Rabi oscillations. Using a nitrogen-vacancy (NV) center spin in diamond, we investigated the interference between more than 100 Landau-Zener processes. We observed the ... More

Improving the Flux Calibration in Reverberation Mapping by Spectral Fitting: Application to the Seyfert Galaxy MCG--6-30-15Aug 24 2016We propose a method for the flux calibration of reverberation mapping spectra based on accurate measurement of [O III] $\lambda 5007$ emission by spectral fitting. The method can achieve better accuracy than the traditional method of van Groningen & Wanders ... More

Observation of Non-Markovianity at Room Temperature by Prolonging Entanglement in SolidsJan 15 2018The non-Markovia dynamics of quantum evolution plays an important role in open quantum sytem. However, how to quantify non-Markovian behavior and what can be obtained from non- Markovianity are still open questions, especially in complex solid systems. ... More

Demonstration of Motion Transduction Based on Parametrically Coupled Mechanical ResonatorsMay 11 2013Universal sensing the motion of mechanical resonators with high precision and low back-action is of paramount importance in ultra-weak signal detection which plays a fundamental role in modern physics. Here we present a universal scheme that transfer ... More

Symmetric recollements induced by bimodule extensionsJan 20 2011nspired by the work of J$\o$rgensen [J], we define a (upper-, lower-) symmetric recollements; and give a one-one correspondence between the equivalent classes of the upper-symmetric recollements and one of the lower-symmetric recollements, of a triangulated ... More

Categorical resolutions of a class of derived categoriesFeb 06 2016Using the relative derived categories, we prove that if an Artin algebra $A$ has a module $T$ with ${\rm inj.dim}T<\infty$ such that $^\perp T$ is finite, then the bounded derived category $D^b({\rm mod}A)$ admits a categorical resolution; and that for ... More

Characterization of Lipschitz functions in terms of variable exponent Lebesgue spacesApr 03 2017Our aim is to characterize the Lipschitz functions by variable exponent Lebesgue spaces. We give some characterizations of the boundedness of the maximal or nonlinear commutators of the Hardy-Littlewood maximal function and sharp maximal function in variable ... More

Monomorphism categories, cotilting theory, and Gorenstein-projective modulesJan 20 2011The monomorphism category $\mathcal S_n(\mathcal X)$ is introduced, where $\mathcal X$ is a full subcategory of the module category $A$-mod of Artin algebra $A$. The key result is a reciprocity of the monomorphism operator $\mathcal S_n$ and the left ... More

Coherence-protected Quantum Gate by Continuous Dynamical Decoupling in DiamondMay 07 2012To implement reliable quantum information processing, quantum gates have to be protected together with the qubits from decoherence. Here we demonstrate experimentally on nitrogen-vacancy system that by using continuous wave dynamical decoupling method, ... More

Direct measurement of topological numbers with spins in diamondApr 16 2016Topological numbers can characterize the transition between different topological phases, which are not described by Landau's paradigm of symmetry breaking. Since the discovery of quantum Hall effect, more topological phases have been theoretically predicted ... More

Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. III. Detection of Fe II Reverberation in Nine Narrow-Line Seyfert 1 GalaxiesMar 12 2015This is the third in a series of papers reporting on a large reverberation-mapping campaign aimed to study the properties of active galactic nuclei (AGNs) with high accretion rates. We present new results on the variability of the optical Fe II emission ... More

Relativistic fluid dynamics in heavy ion collisionsAug 30 2011This dissertation is about the study of three important issues in the theory of relativistic fluid dynamics: the stability of dissipative fluid dynamics, the shear viscosity, and fluid dynamics with triangle anomaly.(1)The second order theory of fluid ... More

Generating Giant and Tunable Nonlinearity in a Macroscopic Mechanical Resonator from Chemical Bonding ForceJun 24 2015Nonlinearity in macroscopic mechanical system plays a crucial role in a wide variety of applications, including signal transduction and processing, synchronization, and building logical devices. However, it is difficult to generate nonlinearity due to ... More

Experimental Test of Born's Rule by Inspecting Third-Order Quantum Interference on a Single Spin in SolidsDec 27 2016As a fundamental postulate of quantum mechanics, Born's rule assigns probabilities to the measurement outcomes of quantum systems and excludes multi-order quantum interference. Here we report an experiment on a single spin in diamond to test Born's rule ... More

Hidden Broad-line Regions in Seyfert 2 Galaxies: from the spectropolarimetric perspectiveApr 14 2017Apr 22 2017The hidden broad-line regions (BLRs) in Seyfert 2 galaxies, which display broad emission lines (BELs) in their polarized spectra, are a key piece of evidence in support of the unified model for active galactic nuclei (AGNs). However, the detailed kinematics ... More

Test of the Formation mechanism of the Broad Line Region in Active Galactic NucleiOct 03 2016The origin of the Broad Line Region (BLR) in active galaxies remains unknown. It seems to be related to the underlying accretion disk but an efficient mechanism is required to rise the material from the disk surface without giving too strong signatures ... More

Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. VI. Velocity-resolved Reverberation Mapping of H$β$ LineFeb 05 2016In the sixth of the series of papers reporting on a large reverberation mapping (RM) campaign of active galactic nuclei (AGNs) with high accretion rates, we present velocity-resolved time lags of H$\beta$ emission lines for nine objects observed in the ... More

A High-Quality velocity-delay map of the broad-line region in NGC 5548Sep 15 2018Sep 18 2018NGC 5548 has been well spectroscopically monitored for reverberation mapping of the central kinematics by 19 campaigns. Using the maximum entropy method in this Letter, we build up a high-quality velocity-delay map of the H$\beta$ emission line in the ... More

Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. IX 10 New Observations of Reverberation Mapping and Shortened H$β$ LagsFeb 08 2018As one of the series of papers reporting on a large reverberation mapping campaign of super-Eddington accreting massive black holes (SEAMBHs) in active galactic nuclei (AGNs), we present the results of 10 SEAMBHs monitored spectroscopically during 2015-2017. ... More

Monitoring AGNs with Hβ Asymmetry. I. First Results: Velocity-resolved Reverberation MappingOct 29 2018We have started a long-term reverberation mapping project using the Wyoming Infrared Observatory 2.3 meter telescope titled "Monitoring AGNs with H\beta\ Asymmetry" (MAHA). The motivations of the project are to explore the geometry and kinematics of the ... More

Supermassive black holes with high accretion rates in active galactic nuclei: X. Optical variability characteristicsApr 06 2019We compiled a sample of 73 active galactic nuclei (AGNs) with reverberation mapping (RM) observations from RM campaigns including our ongoing campaign of monitoring super-Eddington accreting massive black holes (SEAMBHs). This sample covers a large range ... More

Reverberation mapping of narrow-line Seyfert 1 galaxy I Zwicky 1: black hole massApr 12 2019We report results of the first reverberation mapping campaign of I Zwicky 1 during $2014$-$2016$, which showed unambiguous reverberations of the broad H$\beta$ line emission to the varying optical continuum. From analysis using several methods, we obtain ... More

Hiding Planets Behind a Big Friend: Mutual Inclinations of Multi-Planet Systems with External CompanionsJun 28 2016Jul 14 2016The {\it Kepler} mission has detected thousands of planetary systems with 1-7 transiting planets packed within 0.7~au from their host stars. There is an apparent excess of single-transit planet systems that cannot be explained by transit geometries alone, ... More

Two Roads Diverged: A Semantic Network Analysis of Guanxi on TwitterMay 17 2016Guanxi, roughly translated as "social connection", is a term commonly used in the Chinese language. In this research, we employed a linguistic approach to explore popular discourses on Guanxi. Although sharing the same Confucian roots, Chinese communities ... More

Portfolio choice under drift uncertainty: a Bayesian learning and stochastic optimal control approachNov 23 2016Dec 05 2016This paper presents several models addressing optimal portfolio choice and optimal portfolio transition issues, in which the expected returns of risky assets are unknown. Our approach is based on a coupling between Bayesian learning and dynamic programming ... More

Option pricing and hedging with execution costs and market impactNov 18 2013Apr 03 2015This article considers the pricing and hedging of a call option when liquidity matters, that is, either for a large nominal or for an illiquid underlying asset. In practice, as opposed to the classical assumptions of a price-taking agent in a frictionless ... More

Angular spin-orbit coupling in cold atomsNov 25 2014We propose coupling two internal atomic states using a pair of Raman beams operated in Laguerre-Gaussian laser modes with unequal phase windings. This generates a coupling between the atom's pseudo-spin and its orbital angular momentum. We analyze the ... More

Creating macroscopic atomic EPR states from Bose condensatesJul 05 2000We present a scheme for creating quantum entangled atomic states through the coherent spin-exchange collision of a spinor Bose-Einstein condensate. The state generated possesses macroscopic Einstein-Podolsky-Roson correlation and the fluctuation in one ... More

Emergent Universality in a Quantum Tricritical Dicke ModelApr 24 2019We propose a generalized Dicke model which supports a quantum tricritical point. We map out the phase diagram and investigate the critical behaviors of the model through exact low-energy effective Hamiltonian in the thermodynamic limit. As predicted by ... More

Portfolio choice under drift uncertainty: a Bayesian learning and stochastic optimal control approachNov 23 2016This paper presents several models addressing optimal portfolio choice and optimal portfolio transition issues, in which the expected returns of risky assets are unknown. Our approach is based on a coupling between Bayesian learning and dynamic programming ... More

Types of Serre subcategories of Grothendieck categoriesMay 09 2017Every Serre subcategory of an abelian category is assigned a unique type. The type of a Serre subcategory of a Grothendieck category is in the list: $$(0, 0), \ (0, -1), \ (1, -1), \ (0, -2), \ (1, -2), \ (2, -1), \ (+\infty, -\infty);$$ and for each ... More

Quasineutral limit of the Euler-Poisson equation for a cold, ion-acoustic plasmaMar 31 2013In this paper, we consider the quasineutral limit of the Euler-Poisson equation for a clod, ion-acoustic plasma when the Debye length tends to zero. When the ion-acoustic plasma is cold, the Euler-Poisson equation is pressureless and hence fails to be ... More

Justification of the NLS approximation for ion Euler-Poisson equationJan 22 2018The nonlinear Schr\"{o}dinger (NLS) equation can be derived as a formal approximation equation describing the envelopes of slowly modulated spatially and temporarily oscillating wave packet-like solutions to the ion Euler-Poisson equation. In this paper, ... More

Long wavelength limit for the quantum Euler-Poisson equationNov 02 2015In this paper, we consider the long wavelength limit for the quantum Euler-Poisson equation. Under the Gardner-Morikawa transform, we derive the quantum Korteweg-de Vries (KdV) equation by a singular perturbation method. We show that the KdV dynamics ... More

Low-Eccentricity Formation of Ultra-Short Period Planets in Multi-Planet SystemsJan 24 2019Recent studies suggest that ultra-short period planets (USPs), Earth-sized planets with sub-day periods, constitute a statistically distinct sub-sample of {\it Kepler} planets: USPs have smaller radii ($1-1.4R_\oplus$) and larger mutual inclinations with ... More

Hiding Planets Behind a Big Friend: Mutual Inclinations of Multi-Planet Systems with External CompanionsJun 28 2016Nov 03 2016The {\it Kepler} mission has detected thousands of planetary systems with 1-7 transiting planets packed within 0.7~au from their host stars. There is an apparent excess of single-transit planet systems that cannot be explained by transit geometries alone, ... More

Optimal lower bounds on hitting probabilities for stochastic heat equations in spatial dimension $k \geq 1$Nov 30 2018We establish a sharp estimate on the negative moments of the smallest eigenvalue of the Malliavin matrix $\gamma_Z$ of $Z := (u(s, y), u(t, x) - u(s, y))$, where $u$ is the solution to system of $d$ non-linear stochastic heat equations in spatial dimension ... More

Exceptional cycles for perfect complexes over gentle algebrasApr 09 2019Let $A$ be an indecomposable gentle algebra over an algebraically closed field $k$ with $A\ne k$. An component of the Auslander-Reiten quiver of $K^b(A\mbox{-}{\rm proj})$ is a characteristic component, if it contains a string complex at the mouth. Thus ... More

Iterative Mechanisms for Electricity MarketsAug 31 2016We consider the problem of designing the rules by which market dispatch and payment to participants are gradually adjusted while taking into account network and reliability constraints so as to ensure the market clears with an efficient outcome. Small ... More

Iterative Mechanisms for Electricity MarketsAug 31 2016Nov 26 2016In order to deal with market power that sporadically results from contingencies (e.g., severe weather, plant outages) most electricity markets have institutions in charge of monitoring market performance and mitigating market power. The latter task is ... More

Longest-path attacks on complex networksMay 28 2014We investigate the longest-path attacks on complex networks. Specifically, we remove approximately the longest simple path from a network iteratively until there are no paths left in the network. We propose two algorithms, the random augmenting approach ... More

Calabi-Yau objects in triangulated categoriesDec 22 2006We introduce the Calabi-Yau (CY) objects in a Hom-finite Krull-Schmidt triangulated $k$-category, and notice that the structure of the minimal, consequently all the CY objects, can be described. The relation between indecomposable CY objects and Auslander-Reiten ... More

There is at least one pair of double primes for any even numberOct 16 2005We proved that any even number not less than 6 can be expressed as the sum of two old primes, $2n=p_i+p_j$

Energetic Gamma Radiation from Rapidly Rotating Black HolesDec 16 2015Supermassive black holes are believed to be the central power house of active galactic nuclei. Applying the pulsar outer-magnetospheric particle accelerator theory to black-hole magnetospheres, we demonstrate that an electric field is exerted along the ... More

Dissociation dynamics of a Bose-Einstein condensate of moleculesOct 21 2005An unstable condensate of diatomic molecules will coherently disassociate into correlated pairs of atoms. This dissociation process exhibits very rich quantum dynamics depending on the quantum statistics of the constituent atoms. We show that in the case ... More

Phase Separation in Bose-Fermi-Fermi Mixtures as a Probe of Fermi SuperfluidityApr 17 2008Jun 19 2008We study the phase diagram of a mixture of Bose-Einstein condensate and a two-component Fermi gas. In particular, we identify the regime where the homogeneous system becomes unstable against phase separation. We show that, under proper conditions, the ... More

Separated monic representations II: Frobenius subcategories and RSS equivalencesJul 16 2017This paper aims at looking for Frobenius subcategories, via the separated monomorphism category ${\rm smon}(Q, I, \x)$, and on the other hand, to establish an {\rm RSS} equivalence from ${\rm smon}(Q, I, \x)$ to its dual ${\rm sepi}(Q, I, \x)$. For a ... More

Stellar kinematics and populations out to 1.5 effective radius in the elliptical galaxy NGC4636Apr 26 2011We present high quality long slit spectra along the major and minor axes out to 1.5 effective radius ($R_e$) of the massive galaxy NGC4636 taken by Hobby-Eberly Telescope (HET). Using Fourier Correlation Quotient (FCQ) method, we measured the stellar ... More

Monic monomial representations I Gorenstein-projective modulesOct 17 2015Feb 20 2016For a $k$-algebra $A$, a quiver $Q$, and an ideal $I$ of $kQ$ generated by monomial relations, let $\Lambda: = A\otimes_k kQ/I$. We introduce the monic representations of $(Q, I)$ over $A$. We give properties of the structural maps of monic representations, ... More

Monic representations and Gorenstein-projective modulesOct 27 2011Let $\Lambda$ be the path algebra of a finite quiver $Q$ over a finite-dimensional algebra $A$. Then $\Lambda$-modules are identified with representations of $Q$ over $A$. This yields the notion of monic representations of $Q$ over $A$. If $Q$ is acyclic, ... More

Band Gap Formation and Tunability in Stretchable Serpentine InterconnectsMay 18 2017Jul 17 2017Serpentine interconnects are highly stretchable and frequently used in flexible electronic systems. In this work, we show that the undulating geometry of the serpentine interconnects will generate phononic band gaps to manipulate elastic wave propagation. ... More

The rank of random matrices over finite fieldsOct 17 2018We determine the rank of a random matrix A over a finite field with prescribed numbers of non-zero entries in each row and column. As an application we obtain a formula for the rate of low-density parity check codes. This formula verifies a conjecture ... More

Representations of quivers over the algebra of dual numbersDec 08 2011Dec 28 2013The representations of a quiver Q over a field k have been studied for a long time. It seems to be worthwhile to consider also representations of Q over arbitrary finite-dimensional k-algebras A. Here we draw the attention to the case when A = k[\epsilon] ... More

Objective triangle functorsMay 08 2014An (additive) functor F from an additive category A to an additive category B is said to be objective, provided any morphism f in A with F(f) = 0 factors through an object K with F(K) = 0. In this paper we concentrate on triangle functors between triangulated ... More

UDFNet: Unsupervised Disparity Fusion with Adversarial NetworksApr 22 2019Existing disparity fusion methods based on deep learning achieve state-of-the-art performance, but they require ground truth disparity data to train. As far as I know, this is the first time an unsupervised disparity fusion not using ground truth disparity ... More

The Fundamental Plane of the Broad-line Region in Active Galactic NucleiJan 07 2016Jan 08 2016Broad emission lines in active galactic nuclei (AGNs) mainly arise from gas photoionized by continuum radiation from an accretion disk around a central black hole. The shape of the broad-line profile, described by ${\cal D}_{_{\rm H\beta}}={\rm FWHM}/\sigma_{_{\rm ... More

Non-reciprocal Radio Frequency Transduction in a Parametric Mechanical Artificial LatticeFeb 21 2016Generating non-reciprocal radio frequency transduction plays important roles in a wide range of research and applications, and an aspiration is to integrate this functionality into micro-circuit without introducing magnetic field, which, however, remains ... More

Cooling a Mechanical Resonator to Quantum Regime by heating itMar 18 2016Nov 04 2016We consider a mechanical resonator made of diamond, which contains a nitrogen-vacancy center (NV center) locating at the end of the oscillator. A second order magnetic gradient is applied and inducing coupling between mechanical modes and the NV center. ... More

Any admissible harmonic Ritz value set is possible for prescribed GMRES residual normsApr 23 2016We show that any admissible harmonic Ritz value set is possible for prescribed GMRES residual norms, which is a complement for the results in [Duintjer Tebbens and Meurant, {\it SIAM J. Matrix Anal. Appl.}, 33 (2012), no. 3, pp. 958--978].

Robust Mechanisms Under Common ValuationMar 20 2016Aug 29 2016We study robust mechanisms to sell a common-value good. We assume that the mechanism designer knows the prior distribution of the buyers' common value but is unsure of the buyers' information structure about the common value. We use linear programming ... More

Generating the mapping class groups by torsionsJun 14 2015Feb 26 2018Let $S_g$ be the closed oriented surface of genus g and let $\text{Mod}(S_g)$ be the mapping class group. When the genus is at least 3, $\text{Mod}(S_g)$ can be generated by torsion elements. We prove the follow results. For $g \geq 4$, $\text{Mod}(S_g)$ ... More

An Overview of Mobile Capacitive Touch Technologies TrendsDec 25 2016Touch sensing, as a major human/machine interface, is widely used in various commercial products such as smart watches, mobile phones, tablets and TVs. State-of-the-art touch detections are mainly based on mutual capacitive sensing, which requires necessary ... More

A Polynomial time Algorithm for Hamilton Cycle and Its detailed proofApr 12 2010Aug 29 2016Popular algorithms to find a Hamilton circle in an undirected graph are generally based on the Rotation-Extension method developed by Posa. However, due to the deficiencies of Posa's method, such algorithms are only efficient for graphs that are either ... More

Higher Groupoid Actions, Bibundles, and DifferentiationDec 14 2015In this thesis, we employ simplicial methods to study actions, principal bundles, and bibundles of higher groupoids. Roughly, we use Kan fibrations to model actions of higher groupoids, we use pairs of a Kan fibration and a special acyclic fibration to ... More

Random Walks on Dicyclic GroupMar 16 2009This paper works out the rate of convergence of two "natural" random walks on the dicyclic group.

Quantum-State Purity of Heralded Single Photons Produced from Frequency-Anti-Correlated BiphotonsJul 13 2015Sep 15 2015We analyze the quantum-state purity of heralded single photons produced from frequency-anti-correlated biphotons. We find that the quantum-state purity in time-frequency domain depends strongly on the response time uncertainty of the trigger-photon detector ... More

CP violation for neutral charmed meson decays to CP eigenstatesAug 30 2006Nov 06 2006CP asymmetries for neutral charmed meson decays to CP eigenstates are carefully studied. The formulas and numerical results are presented. The impact on experiments is briefly discussed.

On the Automorphism Group of a GraphJul 02 2016An automorphism of a graph $G$ with $n$ vertices is a bijective map $\phi$ from $V(G)$ to itself such that $\phi(v_i)\phi(v_j)\in E(G)$ $\Leftrightarrow$ $v_i v_j\in E(G)$ for any two vertices $v_i$ and $v_j$ of $G$. Denote by $\mathfrak{G}$ the group ... More

On Graph Isomorphism ProblemOct 26 2017Let $G$ and $H$ be two simple graphs. A bijection $\phi:V(G)\rightarrow V(H)$ is called an isomorphism between $G$ and $H$ if $(\phi v_i)(\phi v_j)\in E(H)$ $\Leftrightarrow$ $v_i v_j\in E(G)$, $\forall v_i,v_j \in V(G)$. In the case that $G = H$, we ... More

A Polynomial time Algorithm for Hamilton Cycle and its detailed proofApr 12 2010Mar 21 2019Based on the famous Rotation-Extension technique, by creating the new concepts and methods: broad cycle, main segment, useful cut and insert, destroying edges for a main segment, main goal Hamilton cycle, depth-first search tree, we develop a polynomial ... More

A New Approach to Constrain Black Hole Spins in Active Galaxies Using Optical Reverberation MappingAug 11 2014A tight relation between the size of the broad-line region (BLR) and optical luminosity has been established in about 50 active galactic nuclei studied through reverberation mapping of the broad Hbeta emission line. The R_blr-L relation arises from simple ... More

A Bayesian Approach to Estimate the Size and Structure of the Broad-line Region in Active Galactic Nuclei Using Reverberation Mapping DataOct 15 2013Jan 06 2014This is the first paper in a series devoted to systematic study of the size and structure of the broad-line region (BLR) in active galactic nuclei (AGNs) using reverberation mapping (RM) data. We employ a recently developed Bayesian approach that statistically ... More

Large Spin Pumping from Epitaxial Y3Fe5O12 Thin Films to Pt and W LayersJul 03 2013Epitaxial Y3Fe5O12 thin films have been deposited by off-axis sputtering, which exhibit excellent crystalline quality, enabling observation of large spin pumping signals in Pt/Y3Fe5O12 and W/Y3Fe5O12 bilayers driven by cavity ferromagnetic resonance. ... More

Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. V. A New Size-Luminosity Scaling Relation for the Broad-Line RegionApr 21 2016This paper reports results of the third-year campaign of monitoring super-Eddington accreting massive black holes (SEAMBHs) in active galactic nuclei (AGNs) between 2014-2015. Ten new targets were selected from quasar sample of Sloan Digital Sky Survey ... More

A Bayesian Method for the Intercalibration of Spectra in Reverberation MappingApr 09 2014Flux calibration of spectra in reverberation mapping (RM) is most often performed by assuming the flux constancy of some specified narrow emission lines, which stem from an extended region that is sometimes partially spatially resolved, in contrast to ... More

Cooling a Mechanical Resonator to Quantum Regime by heating itMar 18 2016Apr 18 2016We consider a mechanical resonator made of diamond, which contains a nitrogen-vacancy center (NV center) locating at the end of the oscillator. A second order magnetic gradient is applied and inducing coupling between mechanical modes and the NV center. ... More

Narrow-line Seyfert 1 galaxies in the context of the Quasar Main SequenceJun 18 2018Narrow-line Seyfert 1 galaxies are defined on the basis of their line widths, and they are generally considered to be high Eddington ratio sources. But in the context of the Quasar Main Sequence, high Eddington rate sources are those which have weak [O ... More

The Very Large Telescope Interferometric Signals of Close Binaries of Supermassive Black Holes in Active Galactic NucleiMar 19 2019Mar 28 2019In the present paper, we explore to apply the GRAVITY at The Very Large Telescope Interferometry (VLTI) with unprecedented spatial resolution to identify close binaries of supermassive black holes (CB-SMBHs) in active galactic nuclei (AGNs). Each SMBH ... More

Intervening BLR Clouds' Effects on Optical/UV SpectrumMay 25 2012Recent x-ray observations of Mrk 766 suggest that broad emission line region clouds cross our line of sight and produce variable x-ray absorption. Here we investigate what optical/ultraviolet spectroscopic features would be produced by such "Intervening ... More

The Very Large Telescope Interferometric Signals of Close Binaries of Supermassive Black Holes in Active Galactic NucleiMar 19 2019In the present paper, we explore to apply the GRAVITY at The Very Large Telescope Interferometry (VLTI) with unprecedented spatial resolution to identify close binaries of supermassive black holes (CB-SMBHs) in active galactic nuclei (AGNs). Each SMBH ... More

Higher order Poisson Kernels and $L^p$ polyharmonic boundary value problems in Lipschitz domainsMar 04 2015Mar 21 2015In this article, we introduce higher order conjugate Poisson and Poisson kernels, which are higher order analogues of the classical conjugate Poisson and Poisson kernels, as well as the polyharmonic fundamental solutions, and define multi-layer potentials ... More

A Polynomial time Algorithm for Hamilton Cycle and Its detailed proofApr 12 2010Nov 10 2016Popular algorithms to find a Hamilton circle in an undirected graph are generally based on the Rotation-Extension method developed by Posa. However, due to the deficiencies of Posa's method, such algorithms are only efficient for graphs that are either ... More

Opaque Response Generation Enabling Automatic Creation of Virtual Services for Service VirtualisationAug 17 2016Service virtualisation is a method to create virtual service models that can mimic interaction behaviors between a system under test and the target system. With service virtualisation, the development team can get access to the production-like conditions ... More

Finite dimensional algebras and cellular systemsDec 08 1999We introduce the notion of a cellular system in order to deal with quasi-hereditary algebras. We shall prove that a necessary and sufficient condition for an algebra to be quasi-hereditary is the existence of a full divisible cellular system. As a further ... More

Asymptotic behavior of positive solutions to a degenerate elliptic equation in the upper half space with a nonlinear boundary conditionApr 16 2015We consider positive solutions of the problem \begin{equation} \left\{\begin{array}{l}-\mbox{div}(x_{n}^{a}\nabla u)=0\qquad \mbox{in}\;\;\mathbb{R}_+^n,\\ \frac{\partial u}{\partial \nu^a}=u^{q} \qquad \mbox{on}\;\;\partial \mathbb{R}_+^n,\\ \end{array} ... More

Metal-Silicene Interaction Studied by Scanning Tunneling MicroscopyJul 08 2015Ag atoms have been deposited on 3x3 silicene and R3xR3 silicene films by molecular beam epitaxy method in ultrahigh vacuum. Using scanning tunneling microscopy and Raman spectroscopy, we found that Ag atoms do not form chemical bonds with both 3x3 silicene ... More

Scaling of spin Hall angle in 3d, 4d and 5d metals from Y3Fe5O12/metal spin pumpingJul 10 2013Jan 16 2014Pure spin currents generated by spin pumping in ferromagnet/nonmagnet (FM/NM) bilayers produce inverse spin Hall effect (ISHE) voltages in the NM, from which spin pumping and transport characteristics of the NM can be extracted. Due to its exceptionally ... More

On well-conditioned spectral collocation and spectral methods by the integral reformulationNov 04 2015Well-conditioned spectral collocation and spectral methods have recently been proposed to solve differential equations. In this paper, we revisit the well-conditioned spectral collocation methods proposed in [T.~A. Driscoll, {\it J. Comput. Phys.}, 229 ... More

Preconditioning rectangular spectral collocationOct 01 2015Oct 21 2015Rectangular spectral collocation (RSC) methods have recently been proposed to solve linear and nonlinear differential equations with general boundary conditions and/or other constraints. The involved linear systems in RSC become extremely ill-conditioned ... More

Solvability conditions for indefinite linear quadratic optimal stochastic control problems and associated stochastic Riccati equationsFeb 06 2014Dec 18 2015A linear quadratic optimal stochastic control problem with random coefficients and indefinite state/control weight costs is usually linked to an indefinite stochastic Riccati equation (SRE) which is a matrix-valued quadratic backward stochastic differential ... More

$W^{2,p}$-solutions of parabolic SPDEs in general domainsMay 17 2018The Dirichlet problem for a class of stochastic partial differential equations is studied in Sobolev spaces. The existence and uniqueness result is proved under certain compatibility conditions that ensure the finiteness of $L^{p}(\Omega\times(0,T),W^{2,p}(G))$-norms ... More

Method Study on the 3x+1 ProblemMay 04 2012The 3x+1 problem is one of the most classical problems in computer science, related to many fields. As it is thought by scientists a highly hard problem, resolving it successfully not only can improve the research in many relating fields, but also be ... More

Serious Game for Human Environmental Consciousness Education in Residents Daily LifeMar 20 2015It has been challenging to find ways to educate people to have better environmental consciousness. In some cases, people do not know what the right behaviors are to protect the environment. Game engine has been used in the AEC industry for visualization. ... More

Weak Siegel-Weil formula for M_2(Q) and arithmetic on quaternionsApr 14 2018May 17 2018In this paper, we prove the weak Siegel-Weil formula for the space M_2(Q) . We study the Hecke correspondence and representation numbers associated to Eichler orders, and give the explicit formula for degree of Hecke correspondence and average representation ... More

How do External Companions Affect Spin-Orbit Misalignment of Hot Jupiters?Oct 30 2017Consider a planet with its orbital angular momentum axis aligned with the spin axis of its host star. To what extent does an inclined distant companion (giant planet or binary star) affect this alignment? We provide an analytic, quantitative answer and ... More

The behavior of dealers and clients on the European corporate bond market: the case of Multi-Dealer-to-Client platformsNov 24 2015Mar 22 2017For the last two decades, most financial markets have undergone an evolution toward electronification. The market for corporate bonds is one of the last major financial markets to follow this unavoidable path. Traditionally quote-driven i.e., dealer-driven) ... More

H-loop Histidine Catalyzes ATP Hydrolysis in the E. coli ABC-Transporter HlyBMar 30 2013Adenosine triphosphate (ATP)-binding cassette (ABC) transporters form a family of molecular motor proteins that couple ATP hydrolysis to substrate translocation across cell membranes. Each nucleotide binding domain of ABC-transporters contains a highly ... More

On the calculation of diffusion coefficients in confined fluids and interfaces with an application to the liquid-vapor interface of waterNov 17 2003We propose a general methodology for calculating the self-diffusion tensor from molecular dynamics for a liquid with a liquid-gas or liquid-solid interface. The standard method used in bulk fluids, based on computing the mean square displacement as a ... More