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On the Performance of P2P Network: An Assortment MethodSep 12 2011P2P systems have grown dramatically in recent years. The most popular type of P2P systems are file sharing networks, which are used to share various types of content over the Internet. Due to the increase in popularity of P2P systems, the network performance ... More

The realization problem for discrete Morse functions on treesJul 24 2018We introduce a new notion of equivalence of discrete Morse functions on graphs called persistence equivalence. Two functions are considered persistence equivalent if and only if they induce the same persistence diagram. We compare this notion of equivalence ... More

A two-queue Markovian polling system with two priority levels in the first queueNov 02 2014In this paper, we deal with a two-queue polling system attended by a single server. The server visits the queues according to a Markovian routing mechnism. There are two-class customers in the first queue. Customers of each queue are served in the exhaustive ... More

Synchronous phase clustering in a network of neurons with spatially decaying excitatory couplingSep 19 2001Synchronization is studied in a spatially-distributed network of weekly-coupled, excitatory neurons of Hodgkin-Huxley type. All neurons are coupled to each other synaptically with a fixed time delay and a coupling strength inversely proportional to the ... More

Image Annotation Incorporating Low-Rankness, Tag and Visual Correlation and Inhomogeneous ErrorsAug 29 2015Aug 08 2016Tag-based image retrieval (TBIR) has drawn much attention in recent years due to the explosive amount of digital images and crowdsourcing tags. However, TBIR is still suffering from the incomplete and inaccurate tags provided by users, posing a great ... More

Malicious Web Domain Identification using Online Credibility and Performance Data by Considering the Class Imbalance IssueOct 19 2018Purpose: Malicious web domain identification is of significant importance to the security protection of Internet users. With online credibility and performance data, this paper aims to investigate the use of machine learning tech-niques for malicious ... More

Condition directed Multi-domain Adversarial Learning for Loop Closure DetectionNov 21 2017Loop closure detection (LCD) is the key module in appearance based simultaneously localization and mapping (SLAM). However, in the real life, the appearance of visual inputs are usually affected by the illumination changes and texture changes under different ... More

Basis entropy: A useful physical quantity about projective measurementJun 05 2016Sep 30 2016Projective measurement can increase the entropy of a state $\rho$, the increased entropy is not only up to the basis of projective measurement, but also has something to do with the properties of the state itself. In this paper we define this increased ... More

Anomaly Puzzle, Curved-Spacetime Spinor Hamiltonian, and String PhenomenologyApr 28 2011In the first part of this dissertation, we study two different aspects of string phenomenology. First we discuss the complementary signals of low mass superstrings at the proposed electron-positron facilities (ILC and CLIC), in e+e- and {\gamma} {\gamma} ... More

Kinematic dynamo induced by helical wavesJul 24 2014We investigate numerically the kinematic dynamo induced by the superposition of two helical waves in a periodic box as a simplified model to understand the dynamo action in astronomical bodies. The effects of magnetic Reynolds number, wavenumber and wave ... More

Linear and nonlinear responses to harmonic force in rotating flowMay 05 2016For understanding the dissipation in a rotating flow when resonance occurs, we study the rotating flow driven by the harmonic force in a periodic box. Both the linear and nonlinear regimes are studied. The various parameters such as the force amplitude ... More

Mapping between dissipative and Hamiltonian systemsAug 31 2009Jul 19 2010Theoretical studies of nonequilibrium systems are complicated by the lack of a general framework. In this work we first show that a transformation introduced by Ao recently (J. Phys. A {\bf 37}, L25 (2004)) is related to previous works of Graham (Z. Physik ... More

Which Are You In A Photo?Nov 17 2014Automatic image tagging has been a long standing problem, it mainly relies on image recognition techniques of which the accuracy is still not satisfying. This paper attempts to explore out-of-band sensing base on the mobile phone to sense the people in ... More

Quenching of vector boson-tagged jets at the LHCApr 12 2017Electroweak boson-tagged jet measurements provide a promising experimental channel to accurately study the physics of jet production and propagation in dense QCD medium. In this talk, we present theoretical predictions for the nuclear-induced attenuation ... More

Definitions and Evolutions of Statistical Entropy for Hamiltonian SystemsSep 26 2017Oct 17 2017Regardless of studies and debates over a century, the statistical origin of the second law of thermodynamics still remains illusive. One essential obstacle is the lack of a proper theoretical formalism for non-equilibrium entropy. Here I revisit the seminal ... More

The Poisson-Boltzmann Theory for Two Parallel Uniformly Charged PlatesOct 24 2010We solve the nonlinear Poisson-Boltzmann equation for two parallel and likely charged plates both inside a symmetric elecrolyte, and inside a 2 : 1 asymmetric electrolyte, in terms of Weierstrass elliptic functions. From these solutions we derive the ... More

The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact ResultsOct 24 2010The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this we derive ... More

Biaxial Deformations of Rubber: Entanglements or Elastic Fluctuations?Jul 24 2010Nov 01 2010The classical theory of rubber elasticity fails in the regime of large deformation. The un- derlying physical mechanism has been under debate for long time. In this work, we test the recently proposed mechanism of thermal elastic fluctuations by Xing, ... More

The Topological Period-Index Problem over 8-ComplexesSep 04 2017We study the Postnikov tower of the classifying space of a compact Lie group P(n,mn), which gives obstructions to lifting a topological Brauer class of period $n$ to a PU_{mn}-torsor, where the base space is a CW complex of dimension 8. Combined with ... More

On the Cohomology of the Classifying Spaces of Projective Unitary GroupsDec 01 2016Jan 29 2019Let $\mathbf{B}PU_{n}$ be the classifying space of $PU_n$, the projective unitary group of order $n$, for $n>1$. We use the Serre spectral sequence associated to a fiber sequence $\mathbf{B}U_n\rightarrow\mathbf{B}PU_n\rightarrow K(\mathbb{Z},3)$ to determine ... More

Consumption investment optimization with Epstein-Zin utility in incomplete marketsJan 20 2015Nov 12 2015In a market with stochastic investment opportunities, we study an optimal consumption investment problem for an agent with recursive utility of Epstein-Zin type. Focusing on the empirically relevant specification where both risk aversion and elasticity ... More

Magnetic effect on dynamical tide in rapidly rotating astronomical objectsJan 17 2018Jan 19 2018By numerically solving the equations of rotating magnetohydrodynamics (MHD), the magnetic effect on dynamical tide is studied. It is found that magnetic field has a significant impact not only on the flow structure, i.e. the internal shear layers in rotating ... More

Convergence rates of posterior distributions for observations without the iid structureNov 28 2008The classical condition on the existence of uniformly exponentially consistent tests for testing the true density against the complement of its arbitrary neighborhood has been widely adopted in study of asymptotics of Bayesian nonparametric procedures. ... More

S-wave contributions in $\bar B_s^0\to (D^0,\bar D^0)π^+π^- $ within perturbative QCD approachMar 11 2019The $\bar B_s^0\to (D^0,\bar D^0) \pi^+\pi^-$ is induced by the $b\to c \bar us$/$b \to u\bar cs$ transition, and can interfere if a CP-eigenstate $D_{\rm CP}$ is formed. The interference contribution is sensitive to the CKM angle $\gamma$. In this work, ... More

Continuity of the complex Monge-Ampere operatorJun 30 1994The complex Monge-Amp\`ere operator $(dd^c)^n$ is an important tool in complex analysis. It would be interesting to find the right notion of convergence $u_j\to u$ such that $(dd^cu_j)^n\to (dd^cu)^n$ in the weak topology. In this paper, using the $C_{n-1}$-capacity, ... More

Stability of the exponential utility maximization problem with respect to preferencesMay 28 2012Sep 03 2013This paper studies stability of the exponential utility maximization when there are small variations on agent's utility function. Two settings are considered. First, in a general semimartingale model where random endowments are present, a sequence of ... More

A Semigroup Theory of Rate Independent HysteresisJul 23 2007We explore a macroscopic, algebraic approach to rate independent hysteresis using semigroup theory. A macroscopic description of metastable states relevant to rate independent hysteresis is introduced using field history. The semigroup structure of the ... More

Holographic entanglement entropy and thermodynamic instability of planar R-charged black holesJan 13 2014Jan 19 2014The holographic entanglement entropy of an infinite strip subsystem on the asymptotic AdS boundary is used as a probe to study the thermodynamic instabilities of planar R-charged black holes (or their dual field theories). We focus on the single-charge ... More

An Information Theoretic Framework For Designing Information Elicitation Mechanisms That Reward Truth-tellingMay 03 2016Jan 17 2018In the setting where information cannot be verified, we propose a simple yet powerful information theoretical framework---the Mutual Information Paradigm---for information elicitation mechanisms. Our framework pays every agent a measure of mutual information ... More

On the Cohomology of the Classifying Spaces of Projective Unitary GroupsDec 01 2016In this paper we construct a spectral sequence converging to the integral cohomology ring $H^{*}(\mathbf{B}PU_{n}; \mathbb{Z})$ for any $n>1$, where $\mathbf{B}PU_{n}$ is the classifying space of the projective unitary group of order $n$. We use this ... More

The relationship between the number of editorial board members and the scientific output of universities in the chemistry fieldOct 25 2017Editorial board members, who are considered the gatekeepers of scientific journals, play an important role in academia, and may directly or indirectly affect the scientific output of a university. In this article, we used the quantile regression method ... More

Discussion of: Treelets--An adaptive multi-scale basis for sparse unordered dataJul 25 2008This is a discussion of paper "Treelets--An adaptive multi-scale basis for sparse unordered data" [arXiv:0707.0481] by Ann B. Lee, Boaz Nadler and Larry Wasserman. In this paper the authors defined a new type of dimension reduction algorithm, namely, ... More

On Topological Brauer Classes over $8$-Complexes with Periods Divisible by $4$Mar 14 2018We determine the index of the topological Brauer class $\beta_n$, the canonical generator of $H^3(X;\mathbb{Z})$, where $X$ is the $8$th skeleton of the Eilenberg-Mac Lane space $K(\mathbb{Z}/n,2)$, and $4|n$. This makes an important complement to a theorem ... More

Dynamo induced by time-periodic forceFeb 20 2018Feb 26 2018To understand the dynamo driven by time-dependent flow, e.g. turbulence, we investigate numerically the dynamo induced by time-periodic force in rotating magnetohydrodynamic flow and focus on the effect of force frequency on the dynamo action. It is found ... More

Calculating rotating hydrodynamic and magneto-hydrodynamic waves to understand magnetic effects on dynamical tidesJun 16 2016For understanding magnetic effects on dynamical tides, we study the rotating magneto-hydrodynamic (MHD) flow driven by harmonic forcing. The linear responses are analytically derived in a periodic box under the local WKB approximation. Both the kinetic ... More

Local analysis of the magnetic instability in rotating magneto-hydrodynamics with the short-wavelength approximationAug 22 2010Aug 20 2013We investigate analytically the magnetic instability in a rotating and electrically conducting fluid induced by an imposed magnetic field with its associated electric current. The short-wavelength approximation is used in the linear stability analysis, ... More

Fluctuation-dissipation relations far from equilibriumAug 31 2009Mar 17 2010The fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is related to the ... More

A non-equilibrium dynamic mechanism for the allosteric effectMar 07 2007Sep 13 2007Allosteric regulation is often viewed as thermodynamic in nature. However protein internal motions during an enzymatic reaction cycle can be slow hopping processes over numerous potential barriers. We propose that regulating molecules may function by ... More

Training for 'Unstable' CNN Accelerator:A Case Study on FPGADec 02 2018With the great advancements of convolution neural networks(CNN), CNN accelerators are increasingly developed and deployed in the major computing systems.To make use of the CNN accelerators, CNN models are trained via the off-line training systems such ... More

A New Semantic Theory of Natural LanguageSep 10 2017Formal Semantics and Distributional Semantics are two important semantic frameworks in Natural Language Processing (NLP). Cognitive Semantics belongs to the movement of Cognitive Linguistics, which is based on contemporary cognitive science. Each framework ... More

Some torsion classes in the Chow ring and cohomology of $BPGL_n$Jan 29 2019Apr 22 2019In the integral cohomology ring of the classifying space of the projective linear group $PGL_n$ (over $\mathbb{C}$), we find a collection of $p$-torsions $y_{p,k}$ of degree $2(p^{k+1}+1)$ for any odd prime divisor $p$ of $n$, and $k\geq 0$. If in addition, ... More

Restrictions of eigenfunctions to totally geodesic submanifolds of codimension 2Jun 30 2016In this paper, we measure the maximum concentration of eigenfunctions restricted to totally geodesic submanifolds of codimension 2. N. Burq, P. G\'erard, and N. Tzvetkov obtained $L^p$ estimates for eigenfunctions restricted to submanifolds. Their results ... More

On backward stochastic differential equations and strict local martingalesMay 15 2011Dec 12 2011We study a backward stochastic differential equation whose terminal condition is an integrable function of a local martingale and generator has bounded growth in $z$. When the local martingale is a strict local martingale, the BSDE admits at least two ... More

Topology and Geometry of Smectic Order on Compact Curved SubstratesJun 15 2008Jan 11 2009Smectic order on arbitrary curved substrate can be described by a differential form of rank one (1-form), whose geometric meaning is the differential of the local phase field of the density modulation. The exterior derivative of 1-form is the local dislocation ... More

Semi-Wave Solutions of KPP-Fisher Equations with Free Boundaries in Spatially Almost Periodic MediaDec 20 2016In this paper we prove the existence and uniqueness of the almost periodic semi- wave (traveling wave) solutions of KPP-Fisher equations with free boundaries in spatially almost periodic media.

On adaptive Bayesian inferenceMay 23 2008Sep 23 2008We study the rate of Bayesian consistency for hierarchical priors consisting of prior weights on a model index set and a prior on a density model for each choice of model index. Ghosal, Lember and Van der Vaart [2] have obtained general in-probability ... More

Some Torsion Classes in the Chow ring and Cohomology of $BPGL_n$Jan 29 2019In the integral cohomology ring of the classifying space of the projective linear group $PGL_n$ (over $\mathbb{C}$), we find a collection of $p$-torsions $y_{p,k}$ of degree $2(p^{k+1}+1)$ for any odd prime divisor $p$ of $n$, and $k\geq 0$. Similarly, ... More

A Decomposition of Complex Monge-Ampere MeasuresFeb 20 2007We prove one decomposition theorem of complex Monge-Ampere measures of plurisubharmonic functions in connection with their pluripolar sets.

On the decomposition of random hypergraphsOct 16 2015Nov 08 2015For an $r$-uniform hypergraph $H$, let $f(H)$ be the minimum number of complete $r$-partite $r$-uniform subhypergraphs of $H$ whose edge sets partition the edge set of $H$. For a graph $G$, $f(G)$ is the bipartition number of $G$ which was introduced ... More

Decay of isotropic flow and anisotropic flow with rotation or magnetic field or both in a weakly nonlinear regimeMay 08 2016We investigate numerically the decay of isotropic, rotating, magnetohydrodynamic (MHD), and rotating MHD flows in a periodic box. The Reynolds number $Re$ defined with the box size and the initial velocity is $100$ at which the flows are in a weakly nonlinear ... More

Image Tag Completion and Refinement by Subspace Clustering and Matrix CompletionJun 10 2015Aug 08 2016Tag-based image retrieval (TBIR) has drawn much attention in recent years due to the explosive amount of digital images and crowdsourcing tags. However, the TBIR applications still suffer from the deficient and inaccurate tags provided by users. Inspired ... More

M-Walk: Learning to Walk over Graphs using Monte Carlo Tree SearchFeb 12 2018Dec 18 2018Learning to walk over a graph towards a target node for a given query and a source node is an important problem in applications such as knowledge base completion (KBC). It can be formulated as a reinforcement learning (RL) problem with a known state transition ... More

BigOP: Generating Comprehensive Big Data Workloads as a Benchmarking FrameworkJan 26 2014Big Data is considered proprietary asset of companies, organizations, and even nations. Turning big data into real treasure requires the support of big data systems. A variety of commercial and open source products have been unleashed for big data storage ... More

A Framework For Designing Information Elicitation Mechanisms That Reward Truth-tellingMay 03 2016Information elicitation mechanisms, such as Peer Prediction [Miller 2005] and Bayesian Truth Serum [Prelec 2004], are designed to reward agents for honestly reporting their private information, even when this information cannot be directly verified. Information ... More

Maximum spectral radius of graphs with given connectivity and minimum degreeJul 27 2011Shiu, Chan and Chang [On the spectral radius of graphs with connectivity at most $k$, J. Math. Chem., 46 (2009), 340-346] studied the spectral radius of graphs of order $n$ with $\kappa(G) \leq k$ and showed that among those graphs, the maximum spectral ... More

Water from Two Rocks: Maximizing the Mutual InformationFeb 24 2018May 22 2018We build a natural connection between the learning problem, co-training, and forecast elicitation without verification (related to peer-prediction) and address them simultaneously using the same information theoretic approach. In co-training/multiview ... More

Fast Analog Transmission for High-Mobility Wireless Data Acquisition in Edge LearningJul 30 2018By implementing machine learning at the network edge, edge learning trains models by leveraging rich data distributed at edge devices (e.g., smartphones and sensors) and in return endow on them capabilities of seeing, listening, and reasoning. In edge ... More

Formation of aeroplane-like ZnO and tetrahexahedral Pt nanocrystals: systemic symmetry and symmetry breaking during nanocrystallizationDec 12 2011Symmetries are so involved in crystallographic detail that it is indispensable when crystal cell or lattice is mentioned. For nanocrystals, however, many are 'systemic symmetries', meaning that the whole structures of nanocrystal particles are symmetrical ... More

Catalogue of Topological Electronic MaterialsJul 23 2018Topological electronic materials are new quantum states of matter hosting novel linear responses in the bulk and anomalous gapless states at the boundary, and are for scientific and applied reasons under intensive research in physics and in materials ... More

Synchronous Adversarial Feature Learning for LiDAR based Loop Closure DetectionApr 05 2018Loop Closure Detection (LCD) is the essential module in the simultaneous localization and mapping (SLAM) task. In the current appearance-based SLAM methods, the visual inputs are usually affected by illumination, appearance and viewpoints changes. Comparing ... More

Eliciting Expertise without VerificationFeb 22 2018May 22 2018A central question of crowd-sourcing is how to elicit expertise from agents. This is even more difficult when answers cannot be directly verified. A key challenge is that sophisticated agents may strategically withhold effort or information when they ... More

Equilibrium Selection in Information Elicitation without Verification via Information MonotonicityMar 24 2016Peer-prediction is a mechanism which elicits privately-held, non-variable information from self-interested agents---formally, truth-telling is a strict Bayes Nash equilibrium of the mechanism. The original Peer-prediction mechanism suffers from two main ... More

Adaptively Detecting Malicious Queries in Web AttacksJan 26 2017Nov 28 2017Web request query strings (queries), which pass parameters to the referenced resource, are always manipulated by attackers to retrieve sensitive data and even take full control of victim web servers and web applications. However, existing malicious query ... More

The exact asymptotics of the large deviation probabilities in the multivariate boundary crossing problemAug 31 2017Sep 28 2017For a multivariate random walk with i.i.d. jumps satisfying the Cramer moment condition and having a mean vector with at least one negative component, we derive the exact asymptotics of the probability of ever hitting the positive orthant that is being ... More

Plasmonic nano-resonator enhanced one-photon luminescence from single gold nanorodsJul 23 2014Oct 27 2015Strong Stokes and anti-Stokes one-photon luminescence from single gold nanorods is measured in experiments. It is found that the intensity and polarization of the Stokes and anti-Stokes emissions are in strong correlation. Our experimental observation ... More

Fingerprints of bosonic symmetry protected topological state in a quantum point contactOct 05 2016In this work, we study the transport through a quantum point contact for two-channel interacting helical liquids that exist at the edge of a bilayer graphene under a strong magnetic field. We identify "smoking gun" transport signatures to distinguish ... More

Observation of Majorana conductance plateau by scanning tunneling spectroscopyApr 12 2019Majorana zero-modes (MZMs) are spatially-localized zero-energy fractional quasiparticles with non-Abelian braiding statistics that hold great promise for topological quantum computing. Due to its particle-antiparticle equivalence, an MZM exhibits perfect ... More

A Multi-Domain Feature Learning Method for Visual Place RecognitionFeb 26 2019Visual Place Recognition (VPR) is an important component in both computer vision and robotics applications, thanks to its ability to determine whether a place has been visited and where specifically. A major challenge in VPR is to handle changes of environmental ... More

Crystalline Symmetry-Protected Majorana Mode in Number-Conserving Dirac Semimetal NanowiresAug 04 2017Apr 16 2018One of the cornerstones for topological quantum computations is the Majorana zero mode, which has been intensively searched in fractional quantum Hall systems and topological superconductors. Several recent works suggest that such an exotic mode can also ... More

Fingerprints of bosonic symmetry protected topological state in a quantum point contactOct 05 2016Jul 07 2017In this work, we study the transport through a quantum point contact for bosonic helical liquid that exists at the edge of a bilayer graphene under a strong magnetic field. We identify "smoking gun" transport signatures to distinguish bosonic symmetry ... More

BCVEGPY and GENXICC for the hadronic production of the doubly heavy mesons and baryonsJul 12 2013Oct 09 2013Doubly heavy mesons and baryons provide a good platform for testing pQCD. Two generators BCVEGPY and GENXICC for simulating the hadronic production of the doubly heavy mesons and baryons have been developed in recent years. In this talk, we present their ... More

Clarifying Some Remaining Questions in the Anomaly PuzzleJan 14 2010Jun 18 2010We discuss several points that may help to clarify some questions that remain about the anomaly puzzle in supersymmetric theories. In particular, we consider a general N=1 supersymmetric Yang-Mills theory. The anomaly puzzle concerns the question of whether ... More

Progress on Problem about Quantum Hamming Bound for Impure Quantum CodesJul 22 2009A famous open problem in the theory of quantum error-correcting codes is whether or not the parameters of an impure quantum code can violate the quantum Hamming bound for pure quantum codes. We partially solve this problem. We demonstrate that there exists ... More

Prior Swapping for Data-Independent InferenceJun 02 2016While Bayesian methods are praised for their ability to incorporate useful prior knowledge, in practice, priors that allow for computationally convenient or tractable inference are more commonly used. In this paper, we investigate the following question: ... More

Effects of alpha particles on the angular momentum loss from the SunJun 07 2006The classic Weber-Davis model of the solar wind is reconsidered by incorporating alpha particles and by allowing the solar wind to flow out of the equatorial plane in an axisymmetrical configuration. In the ion momentum equations of the solar wind, the ... More

Comparison Theorem for Distribution Dependent Neutral SFDEsMar 06 2019In this paper, the existence and uniqueness of strong solutions to distribution dependent neutral SFDEs are proved. We give the conditions such that the order preservation of these equations holds. Moreover, we show these conditions are also necessary ... More

Analysis of the optimal exercise boundary of American options for jump diffusionsDec 20 2007Nov 26 2008In this paper we show that the optimal exercise boundary / free boundary of the American put option pricing problem for jump diffusions is continuously differentiable (except at the maturity). This differentiability result has been established by Yang ... More

Regularity of the Optimal Stopping Problem for Jump DiffusionsFeb 15 2009Mar 15 2012The value function of an optimal stopping problem for jump diffusions is known to be a generalized solution of a variational inequality. Assuming that the diffusion component of the process is nondegenerate and a mild assumption on the singularity of ... More

Roles of Fast-Cyclotron and Alfven-Cyclotron Waves for the Multi-Ion Solar WindMar 11 2012Using linear Vlasov theory of plasma waves and quasi-linear theory of resonant wave-particle interaction, the dispersion relations and the electromagnetic field fluctuations of fast and Alfven waves are studied for a low-beta multi-ion plasma in the inner ... More

Abelian automorphism groups of threefolds of general typeFeb 15 1995Mar 24 1995This thesis is devoted to the study of abelian automorphism groups of surfaces and $3$-folds of general type over complex number field $\Bbb C$. We obtain a linear bound in $K^3$ for abelian automorphism groups of $3$-folds of general type whose canonical ... More

Spontaneous entropy decrease and its statistical formulaOct 25 2007Why can the world resist the law of entropy increase and produce self-organizing structure? Does the entropy of an isolated system always only increase and never decrease? Can be thermodymamic degradation and self-organizing evolution united? How to unite? ... More

The likely Fermi detection of GRO J1008-57:hint for gamma-ray production in neutron-star X-ray binariesFeb 03 2019In our search for gamma-ray emission from Be X-ray binaries from analysis of the data obtained with the Large Area Telescope (LAT) on board the Fermi Gamma-Ray Space Telescope, we find likely detection of GRO J1008-57. The binary has an orbital period ... More

Phase Drifts of Sub-pulses during the 2004 Giant Flare of SGR 1806-20 and Settling of the Magnetic FieldsDec 07 2010We analyzed the observations of SGR 1806-20 performed with the \textit{Rossi X-ray Timing Explorer} (RXTE) during its 2004 giant flare. We studied the phase evolution of the sub-pulses identified in the X-ray waveform and found that the sub-pulses varied ... More

Stratified precessional flow in spherical geometryJan 29 2013Feb 10 2013We investigate numerically in spherical geometry the interaction of stratification with precession. Both stable stratification and unstable stratification are studied. In the parameter regime we are concerned with, stable stratification suppresses the ... More

From Dirac Notation to Probability Bracket Notation: Time Evolution and Path Integral under Wick RotationsJan 30 2009In this article, we continue to investigate the application of Probability Bracket Notation (PBN). We show that, under Special Wick Rotation (caused by imaginary-time rotation), the Schrodinger equation of a conservative system and its path integral in ... More

Approximate Message Passing-based Compressed Sensing Reconstruction with Generalized Elastic Net PriorNov 04 2013Feb 18 2015In this paper, we study the compressed sensing reconstruction problem with generalized elastic net prior (GENP), where a sparse signal is sampled via a noisy underdetermined linear observation system, and an additional initial estimation of the signal ... More

Ferromagnetic barrier induced negative differential conductance on the surface of a topological insulatorFeb 12 2014We theoretically investigate the effect of the negative differential conductance of a ferromagnetic barrier on the surface of a topological insulator. Due to the changes of the shape and position of the Fermi surfaces in the ferromagnetic barrier, the ... More

Probability Bracket Notation: the Unified Expressions of Conditional Expectation and Conditional Probability in Quantum ModelingNov 07 2009After a brief introduction to Probability Bracket Notation (PBN), indicator operator and conditional density operator (CDO), we investigate probability spaces associated with various quantum systems: system with one observable (discrete or continuous), ... More

Wavelet Characterizations of the Atomic Hardy Space $H^1$ on Spaces of Homogeneous TypeSep 14 2015Let $({\mathcal X},d,\mu)$ be a metric measure space of homogeneous type in the sense of R. R. Coifman and G. Weiss and $H^1_{\rm at}({\mathcal X})$ be the atomic Hardy space. Via orthonormal bases of regular wavelets and spline functions recently constructed ... More

A numerical procedure for model reduction using the generalized Langevin equation formalismApr 17 2013The Zwanzig-Mori pro jection formalism is widely used in studying systems with many degrees of freedom. Recently Xing and Kim used the pro jection formalism and derived the generalized Langevin equations (GLEs) for a general stochastic system not necessarily ... More

The Randić index and signless Laplacian spectral radius of graphsJan 14 2016Given a connected graph $G$, the Randi\'c index $R(G)$ is the sum of $\tfrac{1}{\sqrt{d(u)d(v)}}$ over all edges $\{u,v\}$ of $G$, where $d(u)$ and $d(v)$ are the degree of vertices $u$ and $v$ respectively. Let $q(G)$ be the largest eigenvalue of the ... More

Meissner States of Type II SuperconductorsNov 25 2018This paper concerns mathematical theory of Meissner states of a bulk superconductor of type $I\!I$, which occupies a bounded domain $\Omega$ in $\Bbb R^3$ and is subjected to an applied magnetic field below the critical field $H_{S}$. A Meissner state ... More

Schwarz waveform relaxation method for one dimensional Schr{ö}dinger equation with general potentialMar 09 2015In this paper, we apply the Schwarz Waveform Relaxation (SWR) method to the one dimensional Schr{\"o}dinger equation with a general linear or a nonlinear potential. We propose a new algorithm for the Schr{\"o}dinger equation with time independent linear ... More

Hermiticity of the Dirac Hamiltonian in Curved SpacetimeNov 14 2008In previous work on the quantum mechanics of an atom freely falling in a general curved background spacetime, the metric was taken to be sufficiently slowly varying on time scales relevant to atomic transitions that time derivatives of the metric in the ... More

Constraints on the Leading-Twist Pion Distribution Amplitude from A QCD Light-Cone Sum Rule with Chiral CurrentJul 26 2008Aug 07 2008We present an improved analysis of the constraints on the first two Gegenbauer moments, $a^\pi_2$ and $a^\pi_4$, of the pion's leading-twist distribution amplitude from a QCD light-cone sum rule analysis of $B\to\pi$ weak transition form factor $f_{+}(q^2)$. ... More

Unconventional superconductivity in bilayer transition metal dichalcogenidesAug 14 2016Bilayer transition metal dichalcogenides (TMDs) belong to a class of materials with two unique features, the coupled spin-valley-layer degrees of freedom and the crystal structure that is globally centrosymmetric but locally non-centrosymmetric. In this ... More

Proximity effect can induce the energy gap rather than superconducting pair potentialOct 21 2010For an s-wave superconductor/semiconductor/ferromagnetic-insulator structure, the proximity effect can induce the energy gap in the semiconductor rather than the superconducting pair potential of its microscope Hamiltonian. As a result, it is questionable ... More

Predictions of short-term driving intention using recurrent neural network on sequential dataMar 28 2018Predictions of driver's intentions and their behaviors using the road is of great importance for planning and decision making processes of autonomous driving vehicles. In particular, relatively short-term driving intentions are the fundamental units that ... More

A Construction of Quantum Codes via A Class of Classical Polynomial CodesAug 16 2013There have been various constructions of classical codes from polynomial valuations in literature \cite{ARC04, LNX01,LX04,XF04,XL00}. In this paper, we present a construction of classical codes based on polynomial construction again. One of the features ... More

On subfields of the Hermitian function fields involving the involution automorphismJul 23 2017A function field over a finite field is called maximal if it achieves the Hasse-Weil bound. Finding possible genera that maximal function fields achieve has both theoretical interest and practical applications to coding theory and other topics. As a subfield ... More