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Characteristics of the curvature effect of uniform jets or spherical fireballsAug 25 2005Aug 28 2005Qin et al. (2004) have derived a formula of count rates based on a model of highly symmetric expanding fireballs, where the Doppler effect is the key factor to be concerned. In this paper, we employ the formula to both the Qin model and the uniform jet ... More

Atomized Spraying of Liquid Metal Droplets on Desired Substrate Surfaces as a Generalized Way for Ubiquitous Printed ElectronicsNov 09 2013A direct electronics printing technique through atomized spraying for patterning room temperature liquid metal droplets on desired substrate surfaces is proposed and experimentally demonstrated for the first time. This method has generalized purpose and ... More

Pervasive liquid metal direct writing electronics with roller-ball penSep 04 2013A roller-ball pen enabled direct writing electronics via room temperature liquid metal ink was proposed. With the rolling to print mechanism, the metallic inks were smoothly written on flexible polymer substrate to form conductive tracks and electronic ... More

Relationship between the rise width and the full width of gamma-ray burst pulses and its implications in terms of the fireball modelAug 28 2005Oct 11 2005Kocevski et al. (2003) found that there is a linear relation between the rise width and the full width of gamma-ray burst pulses detected by the BATSE instrument based on their empirical functions. Motivated by this, we investigate the relationship based ... More

Structure-Aware 3D Hourglass Network for Hand Pose Estimation from Single Depth ImageDec 26 2018In this paper, we propose a novel structure-aware 3D hourglass network for hand pose estimation from a single depth image, which achieves state-of-the-art results on MSRA and NYU datasets. Compared to existing works that perform image-to-coordination ... More

Investigation on the performance of a ducted propeller in oblique flowJan 10 2018In this study, the ducted propeller has been numerically investigated under oblique flow, which is crucial and challenging for the design and safe operation of thruster driven vessel and dynamic positioning (DP) system. A Reynolds-Averaged Navier-Stokes ... More

Granger Causality Analysis Based on Quantized Minimum Error Entropy CriterionAug 07 2018Linear regression model (LRM) based on mean square error (MSE) criterion is widely used in Granger causality analysis (GCA), which is the most commonly used method to detect the causality between a pair of time series. However, when signals are seriously ... More

Robust Learning with Kernel Mean p-Power Error LossDec 21 2016Correntropy is a second order statistical measure in kernel space, which has been successfully applied in robust learning and signal processing. In this paper, we define a nonsecond order statistical measure in kernel space, called the kernel mean-p power ... More

A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-norm FidelityApr 09 2015Feb 12 2016In this paper, we propose a variational multiphase image segmentation model based on fuzzy membership functions and L1-norm fidelity. Then we apply the alternating direction method of multipliers to solve an equivalent problem. All the subproblems can ... More

On $k$-noncrossing partitionsOct 26 2007Nov 15 2007In this paper we prove a duality between $k$-noncrossing partitions over $[n]=\{1,...,n\}$ and $k$-noncrossing braids over $[n-1]$. This duality is derived directly via (generalized) vacillating tableaux which are in correspondence to tangled-diagrams ... More

A Two-Dimensional CA Traffic Model with Dynamic Route Choices Between Residence and WorkplaceJun 12 2012The Biham, Middleton and Levine (BML) model is extended to describe dynamic route choices between the residence and workplace in cities. The traffic dynamic in the city with a single workplace is studied from the velocity diagram, arrival time probability ... More

Crossings and nesting in tangled-diagramsOct 22 2007Oct 26 2007A tangled-diagram over $[n]=\{1,...,n\}$ is a graph of degree less than two whose vertices $1,...,n$ are arranged in a horizontal line and whose arcs are drawn in the upper halfplane with a particular notion of crossings and nestings. Generalizing the ... More

Group sparse optimization via $\ell_{p,q}$ regularizationJan 28 2016In this paper, we investigate a group sparse optimization problem via $\ell_{p,q}$ regularization in three aspects: theory, algorithm and application. In the theoretical aspect, by introducing a notion of group restricted eigenvalue condition, we establish ... More

Robust Matrix Completion via Maximum Correntropy Criterion and Half Quadratic OptimizationMar 14 2019Robust matrix completion aims to recover a low-rank matrix from a subset of noisy entries perturbed by complex noises, where traditional methods for matrix completion may perform poorly due to utilizing $l_2$ error norm in optimization. In this paper, ... More

Simultaneous Integer Relation Detection and Its an ApplicationJun 26 2009Jan 25 2010Let $\mathbf{x_1}, ..., \mathbf{x_t} \in \mathbb{R}^{n}$. A simultaneous integer relation (SIR) for $\mathbf{x_1}, ..., \mathbf{x_t}$ is a vector $\mathbf{m} \in \mathbb{Z}^{n}\setminus\{\textbf{0}\}$ such that $\mathbf{x_i}^T\mathbf{m} = 0$ for $i = ... More

Direction-aware Spatial Context Features for Shadow DetectionDec 12 2017May 16 2018Shadow detection is a fundamental and challenging task, since it requires an understanding of global image semantics and there are various backgrounds around shadows. This paper presents a novel network for shadow detection by analyzing image context ... More

Direction-aware Spatial Context Features for Shadow Detection and RemovalMay 12 2018Shadow detection and shadow removal are fundamental and challenging tasks, requiring an understanding of the global image semantics. This paper presents a novel deep neural network design for shadow detection and removal by analyzing the image context ... More

Experimental quantum secure direct communication with single photonsMar 02 2015Sep 07 2015Quantum communication holds promise for absolutely security in secret message transmission. Quantum secure direct communication is an important mode of the quantum communication in which secret messages are securely communicated over a quantum channel ... More

Compressed Anomaly Detection with Multiple Mixed ObservationsJan 31 2018Jun 19 2018We consider a collection of independent random variables that are identically distributed, except for a small subset which follows a different, anomalous distribution. We study the problem of detecting which random variables in the collection are governed ... More

Automatic 3D Cardiovascular MR Segmentation with Densely-Connected Volumetric ConvNetsAug 02 2017Automatic and accurate whole-heart and great vessel segmentation from 3D cardiac magnetic resonance (MR) images plays an important role in the computer-assisted diagnosis and treatment of cardiovascular disease. However, this task is very challenging ... More

Modeling Text with Graph Convolutional Network for Cross-Modal Information RetrievalFeb 03 2018Feb 13 2018Cross-modal information retrieval aims to find heterogeneous data of various modalities from a given query of one modality. The main challenge is to map different modalities into a common semantic space, in which distance between concepts in different ... More

The $Z_c(3900)$ peak does not come from the "triangle singularity"Dec 24 2016Aug 06 2017We compare contributions from the triangle diagram and the $D\bar D^*$ bubble chain to the processes of $e^{+}e^{-}\rightarrow J/\psi\pi^{+}\pi^{-}$ and $e^{+}e^{-}\rightarrow (D\bar D^*)^\mp\pi^{\pm}$. By fitting the $J/\psi\pi$ maximum spectrum and ... More

Quintuple-layer epitaxy of high-quality Bi2Se3 thin films for topological insulatorJun 29 2009We report the growth of atomically smooth, single crystalline Bi2Se3 thin films on Si(111) by using molecular beam epitaxy. Scanning tunneling microscopy, low-energy electron diffraction, X-ray photoelectron emission spectroscopy and Raman spectroscopy ... More

Ultra-small phase estimation via weak measurement technique with postselectionSep 14 2015Aug 04 2016Weak measurement is a novel technique for parameter estimation with higher precision. In this paper we develop a general theory for the parameter estimation based on weak measurement technique with arbitrary postselection. The previous weak value amplification ... More

Two-stage Geometric Information Guided Image ReconstructionSep 26 2014In compressive sensing, it is challenging to reconstruct image of high quality from very few noisy linear projections. Existing methods mostly work well on piecewise constant images but not so well on piecewise smooth images such as natural images, medical ... More

SINet: A Scale-insensitive Convolutional Neural Network for Fast Vehicle DetectionApr 02 2018May 16 2018Vision-based vehicle detection approaches achieve incredible success in recent years with the development of deep convolutional neural network (CNN). However, existing CNN based algorithms suffer from the problem that the convolutional features are scale-sensitive ... More

Sparse Randomized Kaczmarz for Support Recovery of Jointly Sparse Corrupted Multiple Measurement VectorsNov 07 2017Jun 14 2018While single measurement vector (SMV) models have been widely studied in signal processing, there is a surging interest in addressing the multiple measurement vectors (MMV) problem. In the MMV setting, more than one measurement vector is available and ... More

Stochastic Greedy Algorithms For Multiple Measurement VectorsNov 05 2017Sparse representation of a single measurement vector (SMV) has been explored in a variety of compressive sensing applications. Recently, SMV models have been extended to solve multiple measurement vectors (MMV) problems, where the underlying signal is ... More

Maximal violation of Bell inequalities under local filteringApr 26 2017We investigate the behavior of the maximal violations of the CHSH inequality and V$\grave{e}$rtesi's inequality under the local filtering operations. An analytical method has been presented for general two-qubit systems to compute the maximal violation ... More

SFCN-OPI: Detection and Fine-grained Classification of Nuclei Using Sibling FCN with Objectness Prior InteractionDec 22 2017Cell nuclei detection and fine-grained classification have been fundamental yet challenging problems in histopathology image analysis. Due to the nuclei tiny size, significant inter-/intra-class variances, as well as the inferior image quality, previous ... More

Automated Pulmonary Nodule Detection via 3D ConvNets with Online Sample Filtering and Hybrid-Loss Residual LearningAug 13 2017In this paper, we propose a novel framework with 3D convolutional networks (ConvNets) for automated detection of pulmonary nodules from low-dose CT scans, which is a challenging yet crucial task for lung cancer early diagnosis and treatment. Different ... More

Fine-grained Recurrent Neural Networks for Automatic Prostate Segmentation in Ultrasound ImagesDec 06 2016Boundary incompleteness raises great challenges to automatic prostate segmentation in ultrasound images. Shape prior can provide strong guidance in estimating the missing boundary, but traditional shape models often suffer from hand-crafted descriptors ... More

Flagellar Kinematics and Swimming of Algal Cells in Viscoelastic FluidsNov 02 2015The motility of microorganisms is influenced greatly by their hydrodynamic interactions with the fluidic environment they inhabit. We show by direct experimental observation of the bi-flagellated alga Chlamydomonas reinhardtii that fluid elasticity and ... More

Towards Differentially Private Truth Discovery for Crowd Sensing SystemsOct 10 2018Nowadays, crowd sensing becomes increasingly more popular due to the ubiquitous usage of mobile devices. However, the quality of such human-generated sensory data varies significantly among different users. To better utilize sensory data, the problem ... More

RNA-RNA interaction prediction: partition function and base pair pairing probabilitiesMar 19 2009In this paper, we study the interaction of an antisense RNA and its target mRNA, based on the model introduced by Alkan {\it et al.} (Alkan {\it et al.}, J. Comput. Biol., Vol:267--282, 2006). Our main results are the derivation of the partition function ... More

Entanglement of pair cat states and teleportationJun 27 2005The entanglement of pair cat states in the phase damping channel is studied by employing the relative entropy of entanglement. It is shown that the pair cat states can always be distillable in the phase damping channel. Furthermore, we analyze the fidelity ... More

3D Deeply Supervised Network for Automatic Liver Segmentation from CT VolumesJul 03 2016Automatic liver segmentation from CT volumes is a crucial prerequisite yet challenging task for computer-aided hepatic disease diagnosis and treatment. In this paper, we present a novel 3D deeply supervised network (3D DSN) to address this challenging ... More

Experimental observation of spatial jitters of a triple-pulse x-ray source based on the pinhole imaging techniqueDec 18 2015In high-energy flash radiography, scattered photons will degrade the acquiring image, which limits the resolving power of the interface and density of the dense object. The application of large anti-scatter grid is capable of remarkably decreasing scattered ... More

A Descriptive Model of Robot Team and the Dynamic Evolution of Robot Team CooperationJan 14 2006At present, the research on robot team cooperation is still in qualitative analysis phase and lacks the description model that can quantitatively describe the dynamical evolution of team cooperative relationships with constantly changeable task demand ... More

Otem&Utem: Over- and Under-Translation Evaluation Metric for NMTJul 24 2018Although neural machine translation(NMT) yields promising translation performance, it unfortunately suffers from over- and under-translation is- sues [Tu et al., 2016], of which studies have become research hotspots in NMT. At present, these studies mainly ... More

Automatic multi-objective based feature selection for classificationJul 09 2018Feb 13 2019Objective: Accurately classifying the malignancy of lesions detected in a screening scan is critical for reducing false positives. Radiomics holds great potential to differentiate malignant from benign tumors by extracting and analyzing a large number ... More

A combinatorial framework for RNA tertiary interactionOct 18 2007Dec 08 2007In this paper we show how to express RNA tertiary interactions via the concepts of tangled diagrams. Tangled diagrams allow to formulate RNA base triples and pseudoknot-interactions and to control the maximum number of mutually crossing arcs. In particular ... More

Random 3-noncrossing partitionsOct 14 2009In this paper, we introduce polynomial time algorithms that generate random 3-noncrossing partitions and 2-regular, 3-noncrossing partitions with uniform probability. A 3-noncrossing partition does not contain any three mutually crossing arcs in its canonical ... More

Preliminary study on CAD-based method of characteristics for neutron transport calculationJun 21 2013The method of characteristics (MOC) is widely used for neutron transport calculation in recent decades. However, the key problem determining whether MOC can be applied in highly heterogeneous geometry is how to combine an effective geometry modeling method ... More

Extending Counter-Streaming Motion from an Active Region Filament to Sunspot Light BridgeDec 19 2017We analyze the high-resolution observations from the 1.6m telescope at Big Bear Solar Observatory that cover an active region filament. Counter-streaming motions are clearly observed in the filament. The northern end of the counter-streaming motions extends ... More

FRETtranslator: translating FRET traces into RNA structural pathwaysOct 02 2016Recent genome and transcriptome sequencing projects have unveiled a plethora of highly structured RNA molecules as central mediators of cellular function. Single molecule Forster Resonance Energy Transfer (smFRET) is a powerful tool for analyzing the ... More

Random $k$-noncrossing partitionsNov 16 2009In this paper, we introduce polynomial time algorithms that generate random $k$-noncrossing partitions and 2-regular, $k$-noncrossing partitions with uniform probability. A $k$-noncrossing partition does not contain any $k$ mutually crossing arcs in its ... More

Maximum Smoothed Likelihood Component Density Estimation in Mixture Models with Known Mixing ProportionsJul 11 2014In this paper, we propose a maximum smoothed likelihood method to estimate the component density functions of mixture models, in which the mixing proportions are known and may differ among observations. The proposed estimates maximize a smoothed log likelihood ... More

Nonparametric Inference for Distributional Treatment Effects in Instrumental Variable ModelsMay 12 2016In observational studies, the causal effect of a treatment on the distribution of outcomes is of interest beyond the average treatment effect. Instrumental variable methods allow for causal inference controlling for unmeasured confounding in observational ... More

Study on the magnetic measurement results of the injection system for CSNS/RCSJul 18 2016A combination of the H- stripping and phase space painting method is used to accumulate a high intensity beam in the Rapid Cycling Synchrotron (RCS) of the China Spallation Neutron Source (CSNS). The injection system for CSNS/RCS consists of three kinds ... More

Segmentation of Drosophila Heart in Optical Coherence Microscopy Images Using Convolutional Neural NetworksMar 05 2018Jul 21 2018Convolutional neural networks are powerful tools for image segmentation and classification. Here, we use this method to identify and mark the heart region of Drosophila at different developmental stages in the cross-sectional images acquired by a custom ... More

The local spiral arm in the LAMOST-Gaia common stars?Jan 10 2017Using the LAMOST-Gaia common stars, we demonstrate that the in-plane velocity field for the nearby young stars are significantly different from that for the old ones. For the young stars, the probably perturbed velocities similar to the old population ... More

Recollements and homological dimensionsJun 21 2016We investigate the behavior of the homological dimensions under recollements of derived categories of algebras. In particular, we establish a series of new bounds among the selfinjective dimension or $\phi$-dimension of the algebras linked by recollements ... More

Faster Treasure Hunt and Better Strongly Universal Exploration SequencesApr 24 2012In this paper, we investigate the explicit deterministic treasure hunt problem in a $n$-vertex network. This problem was firstly introduced by Ta-Shma and Zwick in \cite{TZ07} [SODA'07]. Note also it is a variant of the well known rendezvous problem in ... More

Farrell cohomology of low genus pure mapping class groups with puncturesJul 22 2002In this paper, we calculate the p-torsion of the Farrell cohomology for low genus pure mapping class groups with punctures, where p is an odd prime. Here, `low genus' means g=1,2,3; and `pure mapping class groups with punctures' means the mapping class ... More

Joint Target Detection, Tracking and Classification with Forward-Backward PHD SmoothingDec 06 2018Forward-backward Probability Hypothesis Density (PHD) smoothing is an efficient way for target tracking in dense clutter environment. Although the target class has been widely viewed as useful information to enhance the target tracking, there is no existing ... More

Eventually homological isomorphisms in recollements of derived categoriesJul 01 2018For a recollement $(\mathcal{D}B,\mathcal{D}A,\mathcal{D}C)$ of derived categories of algebras, we investigate when the functor $j^*:\mathcal{D}A\rightarrow\mathcal{D}C$ is an eventually homological isomorphism. In this context, we compare the algebras ... More

Strong screening effects on resonant nuclear reaction $^{23}$Mg $(p,γ)$ $^{24}$Al in the surface of magnetarsFeb 15 2016Based on the theory of relativistic superstrong magnetic fields(SMFs), by using the method of the Thomas-Fermi-Dirac approximations, we investigate the problem of strong electron screening(SES) in SMFs, and the influence of SES on the nuclear reaction ... More

Hausdorff theory of dual approximation on planar curvesMar 31 2014Aug 19 2015Ten years ago, Beresnevich-Dickinson-Velani initiated a project that develops the general Hausdorff measure theory of dual approximation on non-degenerate manifolds. In particular, they established the divergence part of the theory based on their general ... More

Rational points near planar curves and Diophantine approximationMar 28 2014Feb 09 2015In this paper, we establish asymptotic formulae with optimal errors for the number of rational points that are close to a planar curve, which unify and extend the results of Beresnevich-Dickinson-Velani and Vaughan-Velani. Furthermore, we complete the ... More

Jordan-Hölder theorems for derived categories of derived discrete algebrasJun 27 2015For any positive integer $n$, $n$-derived-simple derived discrete algebras are classified up to derived equivalence. Furthermore, the Jordan-H\"older theorems for all kinds of derived categories of derived discrete algebras are obtained.

Empirical likelihood for linear models with spatial errorsAug 27 2018For linear models with spatial errors, the empirical likelihood ratio statistics are constructed for the parameters of the models. It is shown that the limiting distributions of the empirical likelihood ratio statistics are chi-squared distributions, ... More

On the Communication Complexity of Distributed ClusteringJun 30 2015Feb 02 2017In this paper we give a first set of communication lower bounds for distributed clustering problems, in particular, for k-center, k-median and k-means. When the input is distributed across a large number of machines and the number of clusters k is small, ... More

RNA-RNA interaction prediction based on multiple sequence alignmentsMar 21 2010Jul 14 2010Many computerized methods for RNA-RNA interaction structure prediction have been developed. Recently, $O(N^6)$ time and $O(N^4)$ space dynamic programming algorithms have become available that compute the partition function of RNA-RNA interaction complexes. ... More

Evidence for photoionization-driven variability in narrow absorption linesJun 02 2017In this Letter, we report the discovery of a strong correlation between the variability of narrow absorption lines (NALs) and the ionizing continuum from a two-epoch spectra sample of 40 quasars containing 52 variable C iv {\lambda}{\lambda}1548; 1551 ... More

Method of determining cosmological parameter ranges with samples of candles with an intrinsic distributionFeb 18 2005Nov 27 2005In this paper, the effect of the intrinsic distribution of cosmological candles is investigated. We find that, in the case of a narrow distribution, the deviation of the observed modulus of sources from the expected central value could be estimated within ... More

Neutral Networks of Sequence to Shape MapsJun 06 2007Aug 04 2007In this paper we present a novel framework for sequence to shape maps. These combinatorial maps realize exponentially many shapes, and have preimages which contain extended connected subgraphs of diameter n (neutral networks). We prove that all basic ... More

Combinatorics Of RNA Structures With PseudoknotsApr 19 2007In this paper we derive the generating function of RNA structures with pseudoknots. We enumerate all $k$-noncrossing RNA pseudoknot structures categorized by their maximal sets of mutually intersecting arcs. In addition we enumerate pseudoknot structures ... More

Optimal Power Allocation for OFDM-Based Wire-Tap Channels with Arbitrarily Distributed InputsAug 14 2011In this paper, we investigate power allocation that maximizes the secrecy rate of orthogonal frequency division multiplexing (OFDM) systems under arbitrarily distributed inputs. Considering commonly assumed Gaussian inputs are unrealistic, we focus on ... More

Strength and Stability Analysis of a Single Walled Black Phosphorus Tube under Axial CompressionMar 28 2016Few-layered black phosphorus materials recently attract much attention due to its special electronic properties. As a Consequence, the nano-tube from a single-layer black phosphorus has been theoretically built. The corresponding electronic properties ... More

Multi-modal Learning with Prior Visual Relation ReasoningDec 23 2018Visual relation reasoning is a central component in recent cross-modal analysis tasks, which aims at reasoning about the visual relationships between objects and their properties. These relationships convey rich semantics and help to enhance the visual ... More

Perturbation Biology: inferring signaling networks in cellular systemsAug 23 2013We present a new experimental-computational technology of inferring network models that predict the response of cells to perturbations and that may be useful in the design of combinatorial therapy against cancer. The experiments are systematic series ... More

Mimicing the Kane-Mele type spin orbit interaction by spin-flexual phonon coupling in graphene devicesMar 28 2015Jun 08 2017On the efforts of enhancing the spin orbit interaction (SOI) of graphene for seeking the dissipationless quantum spin Hall devices, unique Kane-Mele type SOI and high mobility samples are desired. However, common external decoration often introduces extrinsic ... More

New twisted quantum current algebrasJan 16 1999Jul 27 1999We introduce a twisted quantum affine algebra associated to each simply laced finite dimensional simple Lie algebra. This new algebra is a Hopf algebra with a Drinfeld-type comultiplication. We obtain this algebra by considering its vertex representation. ... More

Quantum Z-algebras and representations of quantum affine algebrasJun 08 1998Generalizing our earlier work, we introduce the homogeneous quantum $Z$-algebras for all quantum affine algebras $\alg$ of type one. With the new algebras we unite previously scattered realizations of quantum affine algebras in various cases. As a result ... More

Level one representations of $U_q(G_2^{(1)})$Oct 17 1997We construct level one representations of the quantum affine algebra $U_q(G_2^{(1)})$ by vertex operators from bosonic fields.

Eigenvalue inequalities for the p-Laplacian on a Riemannian manifold and estimates for the heat kernelNov 27 2012Apr 04 2013In this paper, we successfully generalize the eigenvalue comparison theorem for the Dirichlet $p$-Laplacian ($1<p<\infty$) obtained by Matei [A.-M. Matei, First eigenvalue for the $p$-Laplace operator, Nonlinear Anal. TMA 39 (8) (2000) 1051--1068] and ... More

Serious Game for Human Environmental Consciousness Education in Residents Daily LifeMar 20 2015Oct 24 2016It 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

Neutrino quasinormal modes of the Reissner-Nordström black holeDec 02 2005The neutrino quasinormal modes of the Reissner-Nordstr\"om (RN) black hole are investigated using continued fraction approach. We find, for large angular quantum number, that the quasinormal frequencies become evenly spaced and the spacing of the real ... More

Dirac Quasinormal modes of Schwarzschild black holeFeb 06 2005The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild black hole is investigated by using continued fraction and Hill-determinant approaches. It is shown that the fundamental quasinormal frequencies ... More

Can the "brick wall" model present the same results in different coordinate representations?Dec 17 2003By using the 't Hooft's "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropies arising from the quantum scalar field in different coordinate settings, such as the Painlev\'{e} and Lemaitre coordinates. ... More

Resonance-enhanced collective effect in a triangle arrangement of Rydberg atoms with anisotropic interactionsJul 08 2016We investigate the collective excitation effect in a scheme where three identical Rydberg atoms are arranged in an equilateral triangular lattice. By using a static electric field polarizing the atomic dipoles, the dipole-dipole interactions between two ... More

Cardy-Verlinde Formula and entropy bounds in Kerr-Newman-AdS$_4$/dS$_4$ black holes backgroundsJan 30 2002Feb 27 2002The Cardy-Verlinde formula is further verified by using the Kerr-Newman-AdS$_4$ and Kerr-Newman-dS$_4$ black holes. In the Kerr-Newman-AdS$_4$ spacetime, we find that, for strongly coupled CFTs with AdS duals, to cast the entropy of the CFT into the Cardy-Verlinde ... More

Dirac quasinormal modes of the Reissner-Nordström de Sitter black holeDec 17 2003The quasinormal modes of the Reissner-Nordstr\"om de Sitter black hole for the massless Dirac fields are studied using the P\"oshl-Teller potential approximation. We find that the magnitude of the imaginary part of the quasinormal frequencies decreases ... More

Symmetric Polynomials and $U_q(\hat{sl}_2)$Feb 18 1999Jun 23 1999We study the explicit formula of Lusztig's integral forms of the level one quantum affine algebra $U_q(\hat{sl}_2)$ in the endomorphism ring of symmetric functions in infinitely many variables tensored with the group algebra of $\mathbb Z$. Schur functions ... More

A goodness-of-fit test for stochastic block modelsDec 16 2014Jan 21 2016The stochastic block model is a popular tool for studying community structures in network data. We develop a goodness-of-fit test for the stochastic block model. The test statistic is based on the largest singular value of a residual matrix obtained by ... More

Unitary and orthogonal equivalence of sets of matricesApr 26 2015Two matrices $A$ and $B$ are called unitary (resp. orthogonal) equivalent if $AU=VB$ for two unitary (resp. orthogonal) matrices $U$ and $V$. Using trace identities, criteria are given for simultaneous unitary, orthogonal or complex orthogonal equivalence ... More

A class of rotationally symmetric quantum layers of dimension 4Mar 25 2012Jan 28 2013Under several geometric conditions imposed below, the existence of the discrete spectrum below the essential spectrum is shown for the Dirichlet Laplacian on the quantum layer built over a spherically symmetric hypersurface with a pole embedded in the ... More

Jordan Triple Elementary Maps on RingsJun 04 2007Jun 07 2007We prove that Jordan triple elementary surjective maps on unital rings containing a nontrivial idempotent are automatically additive.

Spontaneous Lorentz Violation and BaryogenesisNov 15 2007Dec 18 2007In the presence of background fields that spontaneously violate Lorentz invariance, a matter-antimatter asymmetry can be generated even in thermal equilibrium. In this paper we systematically investigate models of this type, showing that either high-energy ... More

Solutions and perturbation analysis of the matrix equation X - \sum_{i=1}^m A_i^* X^{-1} A_i = QAug 17 2012Consider the nonlinear matrix equation X-sum_{i=1}^{m}A_{i}^{*}X^{-1}A_{i}=Q. This paper shows that there exists a unique positive definite solution to the equation without any restriction on A_{i}. Three perturbation bounds for the unique solution to ... 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

Electrically Tunable Majorana Fermions in Two-Dimensional Topological SuperconductorsAug 17 2016The external controllability of Majorana fermions would be important both for fundamental and practical interests. Here we predict the electric-field control of Majorana fermions in two-dimensional topological superconductors utilizing a topological insulator ... More

Forced hyperbolic mean curvature flowMar 12 2012In this paper, we investigate two hyperbolic flows obtained by adding forcing terms in direction of the position vector to the hyperbolic mean curvature flows in \cite{klw,hdl}. For the first hyperbolic flow, as in \cite{klw}, by using support function, ... More

A unified homogenization approach for the Dirichlet problem in Perforated DomainsJan 24 2019We revisit the periodic homogenization of Dirichlet problems for the Laplace operator in perforated domains, and establish a unified proof that works for different regimes of hole-cell ratios, that is the ratio between the scaling factor of the holes ... More

Homogenization of Randomly Deformed Conductivity Resistant MembranesJun 03 2014May 31 2015We study the homogenization of a stationary conductivity problem in a random heterogeneous medium with highly oscillating conductivity coefficients and an ensemble of simply closed conductivity resistant membranes. This medium is randomly deformed and ... More

Regularity Properties of Viscosity Solutions of Integro-Partial Differential Equations of Hamilton-Jacobi-Bellman TypeOct 07 2011We study the regularity properties of integro-partial differential equations of Hamilton-Jocobi-Bellman type with terminal condition, which can be interpreted through a stochastic control system, composed of a forward and a backward stochastic differential ... More

Unitarity Bounds for New Physics from Axial Coupling at LHCNov 15 2007If a new massive vector boson with nonzero axial couplings to fermions will be observed at LHC, then an upper limit on the scale of new physics could be derived from unitarity of $\mathcal{S}$-matrix. The new physics will involve either new massive fermions, ... More

Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHCJun 25 2018Sep 12 2018We study the LHC discovery potential of the double-bottom tetraquarks $bb \bar u \bar d$, $bb \bar u \bar s$ and $bb \bar d \bar s$, the lightest of which having $J^P=1^+$, called $T^{\{bb\}}_{[\bar u \bar d]}$, $T^{\{bb\}}_{[\bar u \bar s]}$ and $T^{\{bb\}}_{[\bar ... More

Late-time behavior of massive Dirac fields in a Schwarzschild backgroundMay 25 2004Aug 26 2004The late-time tail behavior of massive Dirac fields is investigated in the Schwarzschild black-hole geometry and the result is compared with that of the massive scalar fields. It is shown that in the intermediate times there are three kinds of differences ... More