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Virtual Reality based Learning SystemsMay 28 2016This article is based on studies of the existing literature, focusing on the states-of-the-arts on virtual reality (VR) and its potential uses in learning. Different platforms have been used to improve the learning effects of VR that offers exciting opportunities ... More

Quadratic Discriminant Analysis under Moderate DimensionAug 29 2018Quadratic discriminant analysis (QDA) is a simple method to classify a subject into two populations, and was proven to perform as well as the Bayes rule when the data dimension p is fixed. The main purpose of this paper is to examine the empirical and ... More

Stability and instability of standing waves for a generalized Choquard equation with potentialApr 23 2016Apr 27 2016We are going to study the standing waves for a generalized Choquard equation with potential: $$ -i\partial_t u-\Delta u+V(x)u=(|x|^{-\mu}\ast|u|^p)|u|^{p-2}u, \ \ \hbox{in}\ \ \mathbb{R}\times\mathbb{R}^3, $$ where $V(x)$ is a real function, $0<\mu<3$, ... More

Energy Non-linearity study at Daya BayMar 06 2014Mar 25 2014The Daya Bay Reactor Neutrino Experiment has measured a non-zero value of the neutrino mixing angle $\theta_{13}$ with a significance of 7.7 standard deviations by a rate-only a nalysis. The distortion of neutrino energy spectrum carries additional oscillation ... More

Composite Behavioral Modeling for Identity Theft Detection in Online Social NetworksJan 21 2018In this work, we aim at building a bridge from poor behavioral data to an effective, quick-response, and robust behavior model for online identity theft detection. We concentrate on this issue in online social networks (OSNs) where users usually have ... More

Classification of symmetry fractionalization in gapped $\mathbb Z_2$ spin liquidsJun 14 2016Mar 20 2018In quantum spin liquids, fractional spinon excitations carry half-integer spins and other fractional quantum numbers of lattice and time-reversal symmetries. Different patterns of symmetry fractionalization distinguish different spin liquid phases. In ... More

Spin and helicity of massive particlesJul 19 2016Sep 07 2016It is a well-known fact that helicity is a Lorentz-invariant for massless but not for massive particles. Nevertheless, a satisfactory proof of this fact and a detailed analysis on the relative orientation between spin and the momentum are not readily ... More

New Insight into Electronic Shells of Metal Clusters: Analogues of Simple MoleculesApr 18 2012Using Li clusters, a prototype of simple metals, as a test case, we theoretically find that metal clusters can mimic the behavior of simple molecules in electronic shells. It is found that Li14, Li10, and Li8 clusters are exact analogues of F2, N2, and ... More

Object Recognition by Using Multi-level Feature Point ExtractionOct 28 2017In this paper, we present a novel approach for object recognition in real-time by employing multilevel feature analysis and demonstrate the practicality of adapting feature extraction into a Naive Bayesian classification framework that enables simple, ... More

Quantum Numbers of $Ω_c$ States and Other Charmed BaryonsApr 03 2017May 02 2017Possible spin-parity quantum numbers for excited charmed baryon resonances are discussed in this work. Our main results are: (i) Among the five newly observed $\Omega_c$ states, we have identified $\Omega_c(3090)$ and $\Omega_c(3119)$ with radially excited ... More

Revisiting Scalar and Pseudoscalar Couplings with NucleonsFeb 06 2012Jun 18 2012Certain dark matter interactions with nuclei are mediated possibly by a scalar or pseudoscalar Higgs boson. The estimation of the corresponding cross sections requires a correct evaluation of the couplings between the scalar or pseudoscalar Higgs boson ... More

Revisiting CP violation in $D\to P\!P$ and $V\!P$ decaysSep 06 2019Direct CP violation in the hadronic charm decays provides a good testing ground for the Kobayashi-Maskawa mechanism in the Standard Model. Any significant deviations from the expectation would be indirect evidence of physics beyond the Standard Model. ... More

SU(3) symmetry breaking and CP violation in D -> PP decaysMay 02 2012Jun 23 2012Evidence of CP violation in the charm sector has been observed recently by the LHCb and CDF Collaborations. Adopting the topological diagram approach, we study flavor SU(3) symmetry breaking effects in the weak decay tree amplitudes of singly Cabibbo-suppressed ... More

Reconstruction of sparse wavelet signals from partial Fourier measurementsJun 05 2015In this paper, we show that high-dimensional sparse wavelet signals of finite levels can be constructed from their partial Fourier measurements on a deterministic sampling set with cardinality about a multiple of signal sparsity.

Hadronic D decays involving even-parity light mesonsFeb 12 2010Mar 26 2010We study the hadronic D meson decays into a pseudoscalar meson $P$ and an even-parity meson $M$, where $M$ represents a scalar meson $S$, an axial-vector meson $A$, or a tensor meson $T$. These decays are first analyzed in the flavor-diagram approach. ... More

Direct CP violation in two-body hadronic charmed meson decaysJan 03 2012Feb 22 2012Motivated by the recent observation of CP violation in the charm sector by LHCb, we study direct CP asymmetries in the standard model (SM) for the singly Cabibbo-suppressed two-body hadronic decays of charmed mesons using the topological-diagram approach. ... More

Long-Distance Contributions to D^0-D^0bar Mixing ParametersMay 06 2010May 25 2010Long-distance contributions to the $D^0$-$\bar D^0$ mixing parameters $x$ and $y$ are evaluated using latest data on hadronic $D^0$ decays. In particular, we take on two-body $D \to PP$ and $VP$ decays to evaluate the contributions of two-body intermediate ... More

Phase retrieval of complex and vector-valued functionsSep 04 2019The phase retrieval problem in the classical setting is to reconstruct real/complex functions from the magnitudes of their Fourier/frame measurements. In this paper, we consider a new phase retrieval paradigm in the complex/quaternion/vector-valued setting, ... More

$B\to f_0(980)K$ Decays and Subleading CorrectionsJan 27 2005Feb 22 2005The decay $B\to f_0(980)K is studied within the framework of QCD factorization and the two-quark scenario for $f_0(980)$. There are two distinct penguin contributions and their interference depends on the unknown mixing angle $\theta$ of strange and nonstrange ... More

Analysis of B-> φK Decays in QCD FactorizationDec 13 2000May 09 2001We analyze the decay $B\to \phi K$ within the framework of QCD-improved factorization. We found that although the twist-3 kaon distribution amplitude dominates the spectator interactions, it will suppress the decay rates slightly. The weak annihilation ... More

Implications of Recent Measurements of Hadronic Charmless B DecaysOct 11 1999Mar 01 2000Implications of recent CLEO measurements of hadronic charmless B decays are discussed. (i) Employing the Bauer-Stech-Wirbel (BSW) model for form factors as a benchmark, the $B\to\pi^+\pi^-$ data indicate that the form factor $F_0^{B\pi}(0)$ is smaller ... More

Charmful Baryonic B Decays $\bar B^0\toΛ_c\bar p$ and $\bar B\toΛ_c\bar pπ(ρ)$Oct 19 2001Jan 16 2002We study the two-body and three-body charmful baryonic B decays: $\bar B^0\to \Lambda_c\bar p$ and $\bar B\to \Lambda_c \bar p\pi(\rho)$. The factorizable W-exchange contribution to $\bar B^0\to\Lambda_c\bar p$ is negligible. Applying the bag model to ... More

Charmless B -> VV Decays in QCD Factorization: Implications of Recent $B\to φK^*$ MeasurementApr 09 2001May 11 2001In the heavy quark limit, both vector mesons in the charmless B -> VV decay should have zero helicity and the corresponding amplitude is proportional to the form factor difference $(A_1-A_2)$. The first observed charmless $B\to VV$ mode, $B\to\phi K^*$, ... More

A cost-effective shuffling method against DDoS attacks using Moving Target DefenseMar 25 2019Apr 01 2019Moving Target Defense(MTD) has emerged as a good solution to alter the asymmetric situation of attacks and defenses, shuffling-based moving target defense has been regarded as one of the most effective ways to mitigate DDoS attacks. However, previous ... More

Continuous phase transition from Néel state to Z_2 spin liquid state on a square latticeAug 13 2013Jun 20 2014Recent numerical studies of the $J_1$-$J_2$ model on a square lattice suggest a possible continuous phase transition between the N\'eel state and a gapped spin-liquid state with Z$_2$ topological order. We show that such a phase transition can be realized ... More

Branching Ratios and Polarization in B-> VV,VA,AA DecaysMay 04 2008Oct 09 2008We present a detailed study of charmless two-body B decays into final states involving two vector mesons (VV) or two axial-vector mesons (AA) or one vector and one axial-vector meson (VA), within the framework of QCD factorization, where $A$ is either ... More

Hadronic charmless B decays B-> APSep 03 2007Nov 18 2007The two-body hadronic decays of B mesons into pseudoscalar and axial vector mesons are studied within the framework of QCD factorization. The light-cone distribution amplitudes (LCDAs) for $^3P_1$ and $^1P_1$ axial-vector mesons have been evaluated using ... More

Phenomenological Analysis of D Meson LifetimesMay 12 1999The QCD-based operator-product-expansion technique is systematically applied to the study of charmed meson lifetimes. We stress that it is crucial to take into account the momentum of the spectator light quark of charmed mesons, otherwise the destructive ... More

Updated Analysis of a_1 and a_2 in Hadronic Two-body Decays of B MesonsNov 05 1998Feb 04 1999Using the recent experimental data of $B\to D^{(*)}(\pi,\rho)$, $B\to D^{(*)} D_s^{(*)}$, $B\to J/\psi K^{(*)}$ and various model calculations on form factors, we re-analyze the effective coefficients a_1 and a_2 and their ratio. QCD and electroweak penguin ... More

Updated Analysis of $a_2/a_1$ in Exclusive B DecaysSep 25 1998Using recent experimental data and various theoretical calculations on form factors, we reanalyze the effective parameters $a_1$ and $a_2$ and their ratio.

Hadronic B Decays to Charmed BaryonsOct 21 2002We study exclusive B decays to final states containing a charmed baryon within the pole model framework. Since the strong coupling for $\Lambda_b\bar B N$ is larger than that for $\Sigma_b \bar BN$, the two-body charmful decay $B^-\to\Sigma_c^0\bar p$ ... More

Penguin-Induced Radiative Baryonic B DecaysJan 04 2002Jan 21 2002Weak radiative baryonic B decays $B\to\B_1\ov \B_2\gamma$ mediated by the electromagnetic penguin process $b\to s\gamma$ have appreciable rates larger than their two-body counterparts $B\to\B_1\ov \B_2$. The branching ratios for $B^-\to\Lambda\bar p\gamma$ ... More

Charmless Exclusive Baryonic B DecaysDec 18 2001Jun 17 2002We present a systematical study of two-body and three-body charmless baryonic B decays. Branching ratios for two-body modes are in general very small, typically less than $10^{-6}$, except that $\B(B^-\to p \bar\Delta^{--})\sim 1\times 10^{-6}$. In general, ... More

Frame Transformations of Gravitational TheoriesNov 18 2012May 09 2013We show how to map gravitational theories formulated in the Jordan frame to the Einstein frame at the quantum field theoretical level considering quantum fields in curved space-time. As an example, we consider gravitational theories in the Jordan frame ... More

Zee model and Neutrinoless double beta decayMar 05 2002Apr 02 2002The original Zee model can easily accommodate a bi-maximal mixing solution for the atmospheric and solar neutrino problems. From the most recent fit to the data we obtain a set of parameters for the Zee model. However, the recent claim on a positive signal ... More

Long-Bone Fracture Detection using Artificial Neural Networks based on Line Features of X-ray ImagesFeb 20 2019Two line-based fracture detection scheme are developed and discussed, namely Standard line-based fracture detection and Adaptive Differential Parameter Optimized (ADPO) line-based fracture detection. The purpose for the two line-based fracture detection ... More

Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decayApr 30 2016Motivated by the paper by D. Gerard-Varet and E. Dormy [JAMS, 2010] about the linear ill-posedness for the Prandtl equations around a shear flow with exponential decay in normal variable, and the recent study of well-posedness on the Prandtl equations ... More

A Holographic Model of Heavy-light MesonsJun 12 2013We construct a holographic model of heavy-light mesons by extending the AdS/QCD to incorporate the behavior of the heavy quark limit. In that limit, the QCD dynamics is governed by the light quark and the heavy quark simply plays the role of a static ... More

$B \to J/ψK$ Decays in QCD FactorizationNov 14 2000Aug 29 2016The hadronic decays $B\to J/\psi K(K^*)$ are interesting because experimentally they are the only color-suppressed modes which have been measured, and theoretically they are calculable by QCD factorization even the emitted meson $J\psi$ is heavy. We analyze ... More

Three-Body Charmful Baryonic B Decays $\bar B\to D(D^*)N\bar N$Aug 21 2002We study the charmful three-body baryonic B decays $\bar B\to D^{(*)}N\bar N$: the color-allowed modes $\bar B^0\to D^{(*)+}n\bar p$ and the color-suppressed ones $\bar B^0\to D^{(*)0}p\bar p$. While the $D^{*+}/D^+$ production ratio is predicted to be ... More

Charmless Hadronic B Decays into a Tensor MesonOct 16 2010Feb 16 2011Two-body charmless hadronic B decays involving a tensor meson in the final state are studied within the framework of QCD factorization (QCDF). Due to the G-parity of the tensor meson, both the chiral-even and chiral-odd two-parton light-cone distribution ... More

Penguin-induced Radiative Baryonic B Decays RevisitedNov 28 2005Weak radiative baryonic B decays $\bar B\to B_1\bar B_2\gamma$ mediated by the electromagnetic penguin process $b\to s\gamma$ are re-examined within the framework of the pole model. The meson pole contribution that has been neglected before is taken into ... More

Nonspectator Effects and B Meson Lifetimes from a Field-theoretic CalculationMay 05 1998Jul 09 1998The B meson lifetime ratios are calculated to the order of $1/m_b^3$ in the heavy quark expansion. The predictions of those ratios are dependent on four unknown hadronic parameters $B_1$, $B_2$, $\epsilon_1$ and $\epsilon_2$, where $B_1$ and $B_2$ parametrize ... More

Beltrami system and 1-quasiconformal embeddings in higher dimensionsSep 21 2017Jan 02 2018In this paper we derive necessary and sufficient conditions for a smooth surface in Rn+1 to admit a local 1-quasiconformal parameterization by a domain in Rn (n >= 3). We then apply these conditions to specific hypersurfaces such as cylinders, paraboloids, ... More

Nonresonant Three-body Decays of D and B MesonsMay 14 2002Aug 16 2002Nonresonant three-body decays of D and B mesons are studied. It is pointed out that if heavy meson chiral perturbation theory (HMChPT) is applied to the heavy-light strong and weak vertices and assumed to be valid over the whole kinematic region, then ... More

Gravitational Corrections to Fermion Masses in Grand Unified TheoriesMay 02 2011We reconsider quantum gravitational threshold effects to the unification of fermion masses in Grand Unified Theories. We show that the running of the Planck mass can have a sizable effect on these thresholds which are thus much more important than naively ... More

Multi-Shell Shell Model for Heavy NucleiJun 19 2003Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the Projected Shell Model ... More

An Efficient Network Intrusion Detection System Based on Feature Selection and Ensemble ClassifierApr 02 2019Since Internet is so popular and prevailing in human life, countering cyber threats, especially attack detection, is a challenging area of research in the field of cyber security. Intrusion detection systems (IDSs) are essential entities in a network ... More

A Likelihood Ratio Approach for Precise Discovery of Truly Relevant Protein MarkersApr 11 2018The process of biomarker discovery is typically lengthy and costly, involving the phases of discovery, qualification, verification, and validation before clinical evaluation. Being able to efficiently identify the truly relevant markers in discovery studies ... More

Lifetimes of Doubly Heavy Baryons ${\cal B}_{bb}$ and ${\cal B}_{bc}$Mar 18 2019Lifetimes of the doubly heavy baryons ${\cal B}_{bb}$ and ${\cal B}_{bc}$ are analyzed within the framework of the heavy quark expansion (HQE). Lifetime differences arise from the spectator effects such as $W$-exchange and Pauli interference. For doubly ... More

Long-Bone Fracture Detection using Artificial Neural Networks based on Contour Features of X-ray ImagesFeb 21 2019The following paper proposes two contour-based fracture detection schemes. The development of the contour-based fracture is based on the line-based fracture detection schemes proposed in arXiv:1902.07458. Existing Computer Aided Diagnosis (CAD) systems ... More

Identifying Dark Matter Event Topologies at the LHCDec 08 2010Assuming dark matter particles can be pair-produced at the LHC from cascade decays of heavy particles, we investigate strategies to identify the event topologies based on the kinematic information of final state visible particles. This should be the first ... More

Semi-inclusive B Decays and Direct CP Violation in QCD FactorizationMay 23 2001We have systematically investigated the semi-inclusive B decays B->MX, which are manifestations of the quark decay b->Mq, within the framework of QCD-improved factorization. These decays are theoretically clean and have distinctive experimental signatures. ... More

Universal bounds for eigenvalues of a buckling problem IIAug 26 2009Jul 11 2011In this paper, we investigate universal estimates for eigenvalues of a buckling problem. For a bounded domain in a Euclidean space, we give a positive contribution for obtaining a sharp universal inequality for eigenvalues of the buckling problem. For ... More

What Makes a Good Team? A Large-scale Study on the Effect of Team Composition in Honor of KingsFeb 18 2019Team composition is a central factor in determining the effectiveness of a team. In this paper, we present a large-scale study on the effect of team composition on multiple measures of team effectiveness. We use a dataset from the largest multiplayer ... More

Exactly Solvable Models for Symmetry-Enriched Topological PhasesJun 27 2016We construct fixed-point wave functions and exactly solvable commuting-projector Hamiltonians for a large class of bosonic symmetry-enriched topological (SET) phases, based on the concept of equivalent classes of symmetric local unitary transformations. ... More

A global analysis of two-body D to VP decays within the framework of flavor symmetryApr 13 2016Apr 28 2016Two-body charmed meson decays $D\to VP$ are studied within the framework of the diagrammatic approach. Under flavor SU(3) symmetry, all the flavor amplitude sizes and their associated strong phases are extracted by performing a $\chi^2$ fit. Thanks to ... More

Phase Retrieval of Real-Valued Signals in a Shift-Invariant SpaceMar 04 2016Phase retrieval arises in various fields of science and engineering and it is well studied in a finite-dimensional setting. In this paper, we consider an infinite-dimensional phase retrieval problem to reconstruct real-valued signals living in a shift-invariant ... More

Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classesJul 29 2015We prove that, for $C^1$-generic diffeomorphisms, if a homoclinic class is not hyperbolic, then there is a non-hyperbolic ergodic measure supported on it. This proves a conjecture by D\'iaz and Gorodetski [28]. We also discuss the conjectured existence ... More

Updating B --> PP, VP decays in the framework of flavor symmetrySep 17 2014Sep 23 2014Current data of charmless B meson decays to two pseudoscalar mesons (PP) and one vector and one pseudoscalar mesons (VP) are analyzed within the framework of flavor SU(3) symmetry, a working principle that we have tested by allowing symmetry breaking ... More

Exactly Solvable Models for Symmetry-Enriched Topological PhasesJun 27 2016Sep 07 2017We construct fixed-point wave functions and exactly solvable commuting-projector Hamiltonians for a large class of bosonic symmetry-enriched topological (SET) phases, based on the concept of equivalent classes of symmetric local unitary transformations. ... More

Asymptotic quasinormal modes of scalar field in a gravity's rainbowMar 08 2007In the context of a gravity's rainbow, the asymptotic quasinormal modes of the scalar perturbation in the quantum modified Schwarzschild black holes are investigated. By using the monodromy method, we calculated and obtained the asymptotic quasinormal ... More

Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-CategoriesOct 15 2015Jan 12 2016By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Clifford algebras and to generalize them. Along the same line, Bulacu observed ... More

Temperature-dependent gap equations and their solutions in the SU(4) model of high-temperature superconductivityAug 03 2005Temperature-dependent gap equations in the SU(4) model of high-Tc superconductivity are derived and analytical solutions are obtained. Based on these solutions, a generic gap diagram describing the features of energy gaps as functions of doping P is presented ... More

Efficient and accurate numerical schemes for a hydrodynamically coupled phase field diblock copolymer modelJan 20 2017In this paper, we consider numerical approximations of a hydrodynamically coupled phase field diblock copolymer model, in which the free energy contains a kinetic potential, a gradient entropy, a Ginzburg-Landau double well potential, and a long range ... More

MHD boundary layers theory in Sobolev spaces without monotonicity. I. well-posedness theoryNov 17 2016Jan 16 2017We study the well-posedness theory for the MHD boundary layer. The boundary layer equations are governed by the Prandtl type equations that are derived from the incompressible MHD system with non-slip boundary condition on the velocity and perfectly conducting ... More

A positive mass theorem in three dimensional Cauchy-Riemann geometryDec 30 2013We define an ADM-like mass, called p-mass, for an asymptotically flat pseudohermitian manifold. The p-mass for the blow-up of a compact pseudohermitian manifold (with no boundary) is identified with the first nontrivial coefficient in the expansion of ... More

Lightweight Fault Tolerance in Large-Scale Distributed Graph ProcessingJan 25 2016The success of Google's Pregel framework in distributed graph processing has inspired a surging interest in developing Pregel-like platforms featuring a user-friendly "think like a vertex" programming model. Existing Pregel-like systems support a fault ... More

Semiparametric Bernstein-von Mises Theorem: Second Order StudiesMar 16 2015The major goal of this paper is to study the second order frequentist properties of the marginal posterior distribution of the parametric component in semiparametric Bayesian models, in particular, a second order semiparametric Bernstein-von Mises (BvM) ... More

Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B^*_{(s)0}$ and $B'_{(s)1}$ MesonsApr 14 2014Jun 10 2014The empirical observation of near degeneracy of scalar mesons above 1 GeV, namely, the mass of the strange-flavor scalar meson is similar to that of the non-strange one, is at variance with the naive expectation of the quark model. Qualitatively, the ... More

SilentSense: Silent User Identification via Dynamics of Touch and Movement Behavioral BiometricsAug 31 2013With the increased popularity of smartphones, various security threats and privacy leakages targeting them are discovered and investigated. In this work, we present \ourprotocoltight, a framework to authenticate users silently and transparently by exploiting ... More

How to emulate quantum spin liquids and build topological qubits with available quantum hardwareAug 13 2019We show how to construct fully quantum multi-spin interactions using only two-body Ising interactions plus a uniform transverse field. We then provide an explicit embedding of simple gauge models, such as the surface code, into the D-Wave chimera architecture. ... More

Origin and Structures of Solar Eruptions II: Magnetic Modeling (Invited Review)Jun 19 2017The topology and dynamics of the three-dimensional magnetic field in the solar atmosphere govern various solar eruptive phenomena and activities, such as flares, coronal mass ejections, and filaments/prominences. We have to observe and model the vector ... More

Hawking Radiation of Vector Particles via Tunneling From 4-Dimensional And 5-Dimensional Black HolesAug 23 2016Sep 19 2016Using Proca equation and WKB approximation, we investigate Hawking radiation of vector particles via tunneling from 4-dimensional Kerr-de Sitter black hole and 5-dimensional Schwarzschild-Tangherlini black hole. The results show that the tunneling rates ... More

Accelerating Mini-batch SARAH by Step Size RulesJun 20 2019StochAstic Recursive grAdient algoritHm (SARAH), originally proposed for convex optimization and also proven to be effective for general nonconvex optimization, has received great attention due to its simple recursive framework for updating stochastic ... More

Common Decomposition of Correlated Brownian Motions and its Financial ApplicationsJul 07 2019In this paper, we develop a theory of common decomposition for two correlated Brownian motions, in which, by using change of time method, the correlated Brownian motions are represented by a triple of processes, $(X,Y,T)$, where $X$ and $Y$ are independent ... More

Real-time Topic-aware Influence Maximization Using PreprocessingMar 01 2014Nov 21 2014Influence maximization is the task of finding a set of seed nodes in a social network such that the influence spread of these seed nodes based on certain influence diffusion model is maximized. Topic-aware influence diffusion models have been recently ... More

Justification of Prandtl Ansatz for MHD boundary layerApr 03 2017Jul 07 2018As a continuation of \cite{LXY}, the paper aims to justify the high Reynolds numbers limit for the MHD system with Prandtl boundary layer expansion when no-slip boundary condition is imposed on velocity field and perfect conducting boundary condition ... More

Local-in-time well-posedness for Compressible MHD boundary layerMar 18 2018In this paper, we are concerned with the motion of electrically conducting fluid governed by the two-dimensional non-isentropic viscous compressible MHD system on the half plane, with no-slip condition for velocity field, perfect conducting condition ... More

The Origin of Fermi Arcs in Cuprate Pseudogap States and Strong Constraints on Viable Theories of High-Temperature SuperconductivityMay 06 2007Oct 01 2007A full Fermi surface exists in underdoped high-temperature superconductors if the temperature T lies above the pseudogap temperature T*. Below T* only arcs of Fermi surface survive, scaling with T/T* as T -> 0, with T* displaying strong doping dependence. ... More

Double-semion topological order from exactly solvable quantum dimer modelsJun 24 2014Oct 08 2015We construct a generalized quantum dimer model on two-dimensional nonbipartite lattices including the triangular lattice, the star lattice and the kagome lattice. At the Rokhsar-Kivelson (RK) point, we obtain its exact ground states that are shown to ... More

Invariant surface area functionals and singular Yamabe problem in 3-dimensional CR geometryNov 11 2017We express two CR invariant surface area elements in terms of quantities in pseudohermitian geometry. We deduce the Euler-Lagrange equations of the associated energy functionals. Many solutions are given and discussed. In relation to the singular CR Yamabe ... More

Isoperimetric domains in homogeneous three-manifolds and the isoperimetric constant of the Heisenberg group $\mathsf{H}^1$Jan 29 2015Feb 16 2015In this paper we prove that isoperimetric sets in three-dimensional homogeneous spaces diffeomorphic to $\mathbb{R}^3$ are topological balls. We also prove that in three-dimensional homogeneous spheres isopermetric sets are either two-spheres or symmetric ... More

Deep ColorizationApr 30 2016This paper investigates into the colorization problem which converts a grayscale image to a colorful version. This is a very difficult problem and normally requires manual adjustment to achieve artifact-free quality. For instance, it normally requires ... More

Exotic orbits due to spin-spin coupling around Kerr black holesOct 05 2016Sep 06 2017We report exotic orbital phenomena of spinning test particles orbiting around a Kerr black hole, i.e., some orbits of spinning particles are asymmetrical about the equatorial plane. When a nonspinning test particle orbits around a Kerr black hole in a ... More

Learning Depth with Convolutional Spatial Propagation NetworkOct 04 2018Oct 13 2018Depth prediction is one of the fundamental problems in computer vision. In this paper, we propose a simple yet effective convolutional spatial propagation network (CSPN) to learn the affinity matrix for various depth estimation tasks. Specifically, it ... More

Piecewise Linear Activation Functions For More Efficient Deep NetworksNov 11 2015Dec 07 2015This submission has been withdrawn by arXiv administrators because it is intentionally incomplete, which is in violation of our policies.

Non-asymptotic theory for nonparametric testingFeb 04 2017We consider nonparametric testing in a non-asymptotic framework. Our statistical guarantees are exact in the sense that Type I and II errors are controlled for any finite sample size. Meanwhile, one proposed test is shown to achieve minimax optimality ... More

Characterization and control of linear coupling using turn-by-turn beam position monitor data in storage ringsJun 19 2017We introduce a new application of measuring symplectic generators to characterize and control the linear betatron coupling in storage rings. From synchronized and consecutive BPM (Beam Position Monitor) turn-by-turn (TbT) readings, symplectic Lie generators ... More

iZone: A Location-Based Mobile Social Networking SystemNov 13 2010The rapid development of wireless technology, the extensive use of mobile phones and the availability of location information are facilitating personalized location-based applications. Easy to carry, easy to use and easy to buy, smart phones with certain ... More

Inhomogeneity, Dynamical Symmetry, and Complexity in High-Temperature Superconductors: Reconciling a Universal Phase Diagram with Rich Local DisorderOct 31 2008A model for high-temperature superconductors incorporating antiferromagnetism, d-wave superconductivity, and no double lattice-site occupancy can give energy surfaces exquisitely balanced between antiferromagnetic and superconducting order for specific ... More

Generalizing the Cooper-Pair Instability to Doped Mott InsulatorsOct 21 2008Copper oxides become superconductors rapidly upon doping with electron holes, suggesting a fundamental pairing instability. The Cooper mechanism explains normal superconductivity as an instability of a fermi-liquid state, but high-temperature superconductors ... More

SU(4) Model of High-Temperature Superconductivity: Manifestation of Dynamical Symmetry in CupratesFeb 02 2005The mechanism that leads to high-temperature superconductivity in cuprates remains an open question despite intense study for nearly two decades. Here, we introduce an SU(4) model for cuprate systems having many similarities to dynamical symmetries known ... More

Lifetimes of Doubly Charmed BaryonsSep 19 2018Nov 27 2018The lifetimes of doubly charmed hadrons are analyzed within the framework of the heavy quark expansion (HQE). Lifetime differences arise from spectator effects such as $W$-exchange and Pauli interference. The $\Xi_{cc}^{++}$ baryon is longest-lived in ... More

A Unified Description of Cuprate and Iron Arsenide SuperconductorsAug 08 2009We propose a unified description of cuprate and iron-based superconductivity. Consistency with magnetic structure inferred from neutron scattering implies significant constraints on the symmetry of the pairing gap for the iron-based superconductors. We ... More

Deep Hierarchical Machine: a Flexible Divide-and-Conquer ArchitectureDec 03 2018We propose Deep Hierarchical Machine (DHM), a model inspired from the divide-and-conquer strategy while emphasizing representation learning ability and flexibility. A stochastic routing framework as used by recent deep neural decision/regression forests ... More

Masses of Scalar and Axial-Vector B Mesons RevisitedApr 04 2017Oct 08 2017The SU(3) quark model encounters a great challenge in describing even-parity mesons. Specifically, the $q\bar q$ quark model has difficulties in understanding the light scalar mesons below 1 GeV, scalar and axial-vector charmed mesons and $1^+$ charmonium-like ... More

Beyond Classification: Latent User Interests Profiling from Visual Contents AnalysisDec 21 2015User preference profiling is an important task in modern online social networks (OSN). With the proliferation of image-centric social platforms, such as Pinterest, visual contents have become one of the most informative data streams for understanding ... More

Mott Insulators, No-Double-Occupancy, and Non-Abelian SuperconductivitySep 09 2003SU(4) dynamical symmetry is shown to imply a no-double-occupancy constraint on the minimal symmetry description of antiferromagnetism and d-wave superconductivity. This implies a maximum doping fraction of 1/4 for cuprates and provides a microscopic critique ... More

A Model for AR~Scorpii: Emission from Relativistic Electrons Trapped by Closed Magnetic Field Lines of Magnetic White DwarfsDec 10 2017AR~Scorpii is an intermediate polar system composed of a magnetic white dwarf (WD) and an M-type star, and shows non-thermal, pulsed, and highly linearly polarized emission. The radio/optical emission modulates with the WD's spin and show the double peak ... More