total 17572took 0.09s

Subwavelength focusing of azimuthally polarized beams with vortical phase in dielectrics by using an ultra-thin lensJun 15 2014We demonstrate that a planar and ultrathin binary lens can focus an azimuthally polarized beam with vortical phase (APV) to a subwavelength spot of transverse polarization. The results elaborates that, in the multi-layer medium, this focused spot, which ... More

"Tom" pet robot applied to urban autismMay 14 2019With the fast development of network information technology, more and more people are immersed in the virtual community environment brought by the network, ignoring the social interaction in real life. The consequent urban autism problem has become more ... More

Manipulating dc currents with bilayer bulk natural materialsFeb 25 2014The principle of transformation optics has been applied to various wave phenomena (e.g., optics, electromagnetics, acoustics and thermodynamics). Recently, metamaterial devices manipulating dc currents have received increasing attention which usually ... More

Mathematics at the eve of a historic transition in biologyNov 06 2017A century ago physicists and mathematicians worked in tandem and established quantum mechanism. Indeed, algebras, partial differential equations, group theory, and functional analysis underpin the foundation of quantum mechanism. Currently, biology is ... More

Boundary effects on energy dissipation in a cellular automaton modelApr 23 2009Apr 25 2009In this paper, we numerically study energy dissipation caused by traffic in the Nagel-Schreckenberg (NaSch) model with open boundary conditions (OBC). Numerical results show that there is a nonvanishing energy dissipation rate Ed, and no true free-flow ... More

Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesonsFeb 17 2016Scalar mesons $a^0_0(980)$ and $f_0(980)$ can mix with each other through isospin violating effects, and the mixing intensity has been predicted at the percent level in various theoretical models. However the mixing has not been firmed established on ... More

Correlations and fluctuations measured by the CMS experiment in pp and PbPbJul 13 2011Measurements of charged dihadron angular correlations are presented in proton-proton (pp) and Lead-Lead (PbPb) collisions, over a broad range of pseudorapidity and azimuthal angle, using the CMS detector at the LHC. In very high multiplicity pp events ... More

A Fast Propagation Method for the Helmholtz equationJul 09 2015A fast method is proposed for solving the high frequency Helmholtz equation. The building block of the new fast method is an overlapping source transfer domain decomposition method for layered medium, which is an extension of the source transfer domain ... More

Exploring Harmony between Theory and Computation - Toward a unified electronic structure theoryFeb 26 2006The physical aspect of a general perturbation theory is explored. Its role as a physical principle for understanding the interaction among matter with different levels of hierarchy is appreciated. It is shown that the generic perturbation theory can not ... More

Numerical Study of the Magnetorotational Instability in Princeton MRI ExperimentApr 01 2008Aug 22 2008In preparation for an experimental study of magnetorotational instability (MRI) in liquid metal, we present non-ideal axisymmetric magnetohydrodynamic simulations of the nonlinear evolution of MRI in the experimental geometry. The simulations adopt fully ... More

Fibration of log-general type space over quasi-abelian varietiesSep 10 2016We show that there exists no smooth fibration of a smooth complex quasi-projective variety of log-general type over a quasi-abelian variety. The proof uses M. Popa and C. Schnell's construction of Higgs bundle.

Gorenstein projective and injective dimensions over Frobenius extensionsJan 22 2018Let $R\subset A$ be a Frobenius extension of rings. We prove that: (1) for any left $A$-module $M$, $_{A}M$ is Gorenstein projective (injective) if and only if the underlying left $R$-module $_{R}M$ is Gorenstein projective (injective). (2) if $\mathrm{G}\text{-}\mathrm{proj.dim}_{A}M<\infty$, ... More

Investigate Invertibility of Sparse Symmetric MatrixDec 10 2017Apr 25 2018In this paper, we investigate the invertibility of sparse symmetric matrices. We show that for an $n\times n$ sparse symmetric random matrix $A$ with $A_{ij} = \delta_{ij} \xi_{ij}$ is invertible with high probability. Here, $\delta_{ij}$s, $i\ge j$ are ... More

Path integral and wave function collapseAug 14 2010Mar 09 2012Quantum measurement problem is still unconsensus since it has existed many years and inspired a large of literature in physics and philosophy. We show it can be subsumed into the quantum theory if we extend the Feynman path integral by considering the ... More

Differential-operator representations of Weyl group and singular vectorsMar 03 2017Given a suitable ordering of the positive root system associated with a semisimple Lie algebra, there exists a natural correspondence between Verma modules and related polynomial algebras. With this, the Lie algebra action on a Verma module can be interpreted ... More

Gorenstein projective and injective dimensions over Frobenius extensionsJan 22 2018May 06 2018Let $R\subset A$ be a Frobenius extension of rings. We prove that: (1) for any left $A$-module $M$, $_{A}M$ is Gorenstein projective (injective) if and only if the underlying left $R$-module $_{R}M$ is Gorenstein projective (injective). (2) if $\mathrm{G}\text{-}\mathrm{proj.dim}_{A}M<\infty$, ... More

A study of the fixed points and spurious solutions of the FastICA algorithmAug 28 2014The FastICA algorithm is one of the most popular iterative algorithms in the domain of linear independent component analysis. Despite its success, it is observed that FastICA occasionally yields outcomes that do not correspond to any true solutions (known ... More

Three-body Force Effects on the Properties of Neutron-rich Nuclear MatterSep 09 2012We review our research work on the single-particle properties and the equation of state (EOS) of isospin asymmetric nuclear matter within the framework of the Brueckner-Hartree-Fock (BHF) approach extended by including a microscopic three-body force (TBF). ... More

Intrinsic Radiation in Lutetium Based PET Detector: Advantages and DisadvantagesJan 22 2015Lutetium (Lu) based scintillators such as LSO and LYSO, are widely used in modern PET detectors due to their high stopping power for 511 keV gamma rays, high light yield and short decay time. However, 2.6% of naturally occurring Lu is 176Lu, a long-lived ... More

The localisation of low-temperature interfaces in $d$ dimensional Ising modelJan 17 2019We study the Ising model in a box $\Lambda$ in $\mathbb{Z}^d$ (not necessarily parallel to the directions of the lattice) with Dobrushin boundary conditions at low temperature. We couple the spin configuration with the configurations under $+$ and $-$ ... More

Phase Transition in (2+1)d Quantum GravityApr 05 1994(2+1) dimensional gravity is equivalent to an exactly soluble non-Abelian Chern-Simons gauge field theory (E Witten 1988). Regarding this as the topological phase of quantum gravity in (2+1)d, we suggest a topological symmetry breaking by introducing ... More

Topological Aspects of Quantum GravityJun 21 1998This thesis discusses the topological aspects of quantum gravity, focusing on the connection between 2D quantum gravity and 2D topological gravity. The mathematical background for the discussion is presented in the first two chapters. The possible gauge ... More

On a class of fully nonlinear elliptic equations on closed Hermitian manifoldsOct 01 2013We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. We derive $C^\infty$ {\em a priori} estimates, and then prove the existence of admissible solutions. In the approach, a new Hermitian metic is constructed to launch ... More

On uniform estimate of complex elliptic equations on closed Hermitian manifoldsDec 16 2014Feb 10 2015In this paper, we study Hessian equations and complex quotient equations on closed Hermitian manifolds. We directly derive the uniform estimate for the admissible solution. As an application, we solve general Hessian equations on closed K\"ahler manifolds. ... More

A kinematic and morphological investigation of the asymmetric nebula around the LBV candidate WRA 751Apr 06 2000WRA 751 is an evolved massive star in our Galaxy closely resembling Luminous Blue Variable stars (LBVs). It is surrounded by a nitrogen enriched nebula of ab out 23" diameter. A comparative study of the nebula's morphology and kinematics is presented, ... More

Cosmological Constraints on the Sign-Changeable InteractionsOct 06 2010Nov 20 2011Recently, Cai and Su [Phys. Rev. D {\bf 81}, 103514 (2010)] found that the sign of interaction $Q$ in the dark sector changed in the approximate redshift range of $0.45\,\lsim\, z\,\lsim\, 0.9$, by using a model-independent method to deal with the observational ... More

Varying Alpha Driven by the Dirac-Born-Infeld Scalar FieldJul 16 2009Nov 15 2009Since about ten years ago, varying $\alpha$ theories attracted many attentions, mainly due to the first observational evidence from the quasar absorption spectra that the fine structure ``constant'' might change with cosmological time. In this work, we ... More

The sharp drop in the flux striking the accretion diskJun 10 2004In this paper,We present a simple relativistic approach to analyze the flux striking the disk which is possibly from a source up the Black hole.The X-ray source is locate above an accretion disc orbiting around the black hole,this assumption is invoked ... More

Poisson Cohomology of holomorphic toric Poisson manifolds. INov 25 2016Jul 07 2017A holomorphic toric Poisson manifold is a nonsingular toric variety equipped with a holomorphic Poisson structure, which is invariant under the torus action. In this paper, we computed the Poisson cohomology groups for all holomorphic toric Poisson structures ... More

Gorenstein projective and injective dimensions over Frobenius extensionsJan 22 2018May 13 2019Let $R\subset A$ be a Frobenius extension of rings. We prove that: (1) for any left $A$-module $M$, $_{A}M$ is Gorenstein projective (injective) if and only if the underlying left $R$-module $_{R}M$ is Gorenstein projective (injective). (2) if $\mathrm{G}\text{-}\mathrm{proj.dim}_{A}M<\infty$, ... More

On the Siegel-Weil formula for classical groups over function fieldsJun 06 2018Jan 07 2019We establish a Siegel-Weil formula for classical groups over function fields, which asserts in many cases that the Siegel Eisenstein series is equal to a theta integral. This is a function-field analogue of the classical result proved by Weil in his 1965 ... More

Path-following based Point Matching using Similarity TransformationJan 04 2017To address the problem of 3D point matching where the poses of two point sets are unknown, we adapt a recently proposed path following based method to use similarity transformation instead of the original affine transformation. The reduced number of transformation ... More

Classification of superconductors on Tc MapApr 30 2009The Tc map in parameter space of electron-phonon interaction $\lambda$ and phonon frequency $\Omega$ is used to classify already known superconductors. The Tc map is partitioned into six regions based on superconductors parameters $\lambda$ and $\Omega$, ... More

A Non-equilibrium STM model for Kondo Resonance on surfaceDec 08 2005Feb 07 2006Based on a no-equilibrium STM model, we study Kondo resonance on a surface by self-consistent calculations. The shapes of tunneling spectra are dependent on the energy range of tunneling electrons. Our results show that both energy-cutoff and energy-window ... More

Scaling Theory of Topological Phase TransitionsMay 20 2015Jan 20 2016Topologically ordered systems are characterized by topological invariants that are often calculated from the momentum space integration of a certain function that represents the curvature of the many-body state. The curvature function may be Berry curvature, ... More

G-consistent price system and bid-ask pricing for European contingent claims under Knightian uncertaintyAug 28 2013Sep 17 2013The target of this paper is to consider model the risky asset price on the financial market under the Knightian uncertainty, and pricing the ask and bid prices of the uncertain risk. We use the nonlinear analysis tool, i.e., G-frame work [26], to construct ... More

Reduced genus-two Gromov-Witten Invariants for complex manifoldsDec 13 2008Mar 05 2009In this article, we construct the reduced genus-two Gromov-Witten invariants for certain almost K\"{a}hler manifold $(X, \omega, J)$ such that $J$ is integrable and satisfies some regularity conditions. In particular, the standard projective space $(\P^n, ... More

Diversity-Multiplexing Tradeoff of Asynchronous Cooperative Diversity in Wireless NetworksAug 08 2007Synchronization of relay nodes is an important and critical issue in exploiting cooperative diversity in wireless networks. In this paper, two asynchronous cooperative diversity schemes are proposed, namely, distributed delay diversity and asynchronous ... More

Covariant Weil algebrasNov 15 2012In this paper we introduce the classical and quantum covariant Weil algebras. Covariant Weil algebras are simultaneous generalizations of Weil algebras and family algebras. We will define differentials, Lie derivatives and contractions on them to make ... More

On the Wu classes of the topological blow upJul 06 2011Jul 07 2011We mainly discuss the Wu classes $v(M)$ and the Steenrod operation $Sq$ of the topological blow up $\tilde{M}$. The formula of the Wu class $v(\tilde{M})$ will be given as well as the formula of the Steenrod operation $Sq$. As an application, we will ... More

Large Deviations for Stochastic Evolution Equations with Small Multiplicative NoiseJan 09 2008Sep 10 2009The Freidlin-Wentzell large deviation principle is established for the distributions of stochastic evolution equations with general monotone drift and small multiplicative noise. As examples, the main results are applied to derive the large deviation ... More

Integral curvatures of Finsler manifolds and applicationsDec 25 2017In this paper, we study the integral curvatures of Finsler manifolds. Some Bishop-Gromov relative volume comparisons and several Myers type theorems are obtained. We also establish a Gromov type precompactness theorem and a Yamaguchi type finiteness theorem. ... More

A comparison theorem for Finsler submanifolds and its applicationsOct 29 2017In this paper, we consider the conormal bundle over a submanifold in a Finsler manifold and establish a volume comparison theorem. As an application, we derive a lower estimate for length of closed geodesics in a Finsler manifold. In the reversible case, ... More

A Gauss-Bonnet-Chern theorem for complex Finsler manifoldsSep 09 2014Oct 03 2014In this paper, we establish a Gauss-Bonnet-Chern theorem for general closed complex Finsler manifolds.

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

Global instability of long separation bubbles in a laminar boundary layerDec 17 2018This work aims to numerically investigate the linear global instability of long separation bubbles origin from the changes in the adverse pressure gradient inside a laminar flat plate boundary layer disturbed by placing a bluff body with small clearances. ... More

Spectra of elliptic potentials and supersymmetric gauge theoriesApr 03 2019May 23 2019We study a relation between asymptotic spectra of the quantum mechanics problem with a four components elliptic function potential, the Darboux-Treibich-Verdier (DTV) potential, and the Omega background deformed N=2 supersymmetric SU(2) QCD models with ... More

Invariant Detection with Program Verification ToolsJun 27 2019Compilers can specialize programs having invariants for performance improvement. Detecting program invariants that span large and complex code, however, is difficult for compilers. Traditional compilers do not perform very expensive analysis and thus ... More

A Constant-Factor Bi-Criteria Approximation Guarantee for $k$-means++May 16 2016This paper studies the $k$-means++ algorithm for clustering as well as the class of $D^\ell$ sampling algorithms to which $k$-means++ belongs. It is shown that for any constant factor $\beta > 1$, selecting $\beta k$ cluster centers by $D^\ell$ sampling ... More

On the Gauss Map with Vanishing Biharmonic stress-energy tensorSep 21 2007We study the biharmonic stress-energy tensor $S_2$ of Gauss map. Adding few assumptions, the Gauss map with vanishing $S_2$ would be harmonic.

New Examples of Biharmonic Submanifolds in $CP^n$ and $S^{2n+1}$May 27 2007We construct biharmonic real hypersurfaces and Lagrangian submanifolds of Clifford torus type in $CP^n$ via the Hopf fibration; and get new examples of biharmonic submanifolds in $S^{2n+1}$ as byproducts .

Temporal X-ray Properties of Galactic Black Hole Candidates: Observational Data and Theoretical ModelsSep 30 1998I review the observed temporal X-ray properties of Galactic black hole candidates and the status of theoretical modeling of these properties. Like spectral X-ray properties, which has so far attracted most of the attention, the temporal properties, such ... More

Bernstein Type Results for Lagrangian Graphs with Partially Harmonic Gauss MapJul 02 2007Jun 21 2008We establish Bernstein Theorems for Lagrangian graphs which are Hamiltonian minimal or have conformal Maslov form. Some known results of minimal (Lagrangian) submanifolds are generalized.

Thermal and Electrical Properties of Multiwall Carbon NanotubesApr 17 2012In this dissertation, thermal and electrical properties of aligned multiwall carbon nanotubes (MWNTs) prepared by thermal decomposition of hydrocarbons have been experimentally studied. The thesis consists of six chapters. Ch1 is an introduction. In Ch2, ... More

High temperature superconductivity: Cooper pairs in trapJun 15 2013The tremendous efforts to unveil high temperature superconductivity (HTSC) have been devoted to the search of the mechanism underlying Cooper pairs which, however, remains a mysterious subject of vigorous debate, let alone many other mysteries like the ... More

Radiation and energy release in a background field of axion-like dark matterApr 13 2017Aug 11 2017We find that a fuzzy dark matter background and the mG scale magnetic field in the galactic center can give rise to a radiation with a very large energy release. The frequency of the radiation field is the same as the frequency of the oscillating axion-like ... More

Generation and search of axion-like light particle using intense crystalline fieldNov 30 2010Jul 19 2011Intense electric field $\sim 10^{10}-10^{11}$ V/cm in crystal has been known for a long time and has wide applications. We study the conversion of axion-like light particle and photon in the intense electric field in crystal. We find that the conversion ... More

Moment equations of neutrinos in supernovaApr 01 2009Jun 23 2009We derive a series of moment equations describing the motion and flavor transformation of neutrinos in supernova. We find a particular series of moments of neutrino density matrix in supernova. The emission angle distribution of neutrinos is described ... More

Precise Formulation of Neutrino Oscillation in the EarthOct 08 2007Feb 17 2008We give a perturbation theory of neutrino oscillation in the Earth. The perturbation theory is valid for neutrinos with energy $E \gsim 0.5$ GeV. It is formulated using trajectory dependent average potential. Non-adiabatic contributions are included as ... More

Automorphic period and the central value of Rankin--Selberg L-functionAug 30 2012Feb 16 2014We prove a refinement of the global Gan-Gross-Prasad conjecture proposed by Ichino-Ikeda and N. Harris for unitary groups under some local conditions. We need to assume some expected properties of L-packets and some part of the local Gan-Gross-Prasad ... More

Stability of closed characteristics on compact convex hypersurfaces in $\R^6$Jan 24 2007Oct 11 2007In this paper, let $\Sigma\subset\R^{6}$ be a compact convex hypersurface. We prove that if $\Sigma$ carries only finitely many geometrically distinct closed characteristics, then at least two of them must possess irrational mean indices. Moreover, if ... More

Symmetrized Schrödinger Equation and General Complex SolutionSep 29 2003Oct 09 2003We suggest the symmetrized Schr\"{o}dinger equation and propose a general complex solution which is characterized by the imaginary units $i$ and $\epsilon$. This symmetrized Schr\"{o}dinger equation appears some interesting features.

Existence of multiple solutions for quasi-linear degenerate elliptic equationsAug 20 2019The present paper is concerned a class of quasi-linear elliptic degenerate equations. The degenerate operator comes from the analysis of manifolds with corner singularity. Variational methods are applied to verify the existence of infinity many solutions ... More

Space Complexity of Implementing Large Shared RegistersAug 01 2018We prove two new space lower bounds for the problem of implementing a large shared register using smaller physical shared registers. We focus on the case where both the implemented and physical registers are single-writer, which means they can be accessed ... More

Free Energy of the Cauchy Directed Polymer Model at High TemperatureJun 14 2017Jun 08 2018We study the Cauchy directed polymer model on $\mathbb{Z}^{1+1}$, where the underlying random walk is in the domain of attraction to the $1$-stable law. We show that, if the random walk satisfies certain regularity assumptions and its symmetrized version ... More

Differential equations and singular vectors in Verma modulesMar 22 2015Apr 01 2015Xu introduced a system of partial differential equations to investigate singular vectors in the Verma modules of highest weight $\lambda$ over $\mathfrak{sl}(n,\mathbb{C})$. He proved that the solution space of this system in the space of truncated power ... More

Direct detections of Majorana dark matter in vector portalApr 22 2019In this paper we investigate the direct detections of Majorana dark matter (MDM) in vector portal. Taking into account that the tree-level scattering cross sections in these models are either dark matter velocity suppressed or spin-dependent, we calculate ... More

CP Violation at the Finite TemperatureJun 04 2017In this letter we explore the spontaneous CP violation at the finite temperature. We show that the CP-violating phase $\varphi$ may only emerge around the time of the electroweak phase transition, and it can provide a scource for generating the matter-antimatter ... More

ATLAS Diboson Excesses from the Stealth Doublet ModelJul 19 2015The ATLAS collaboration has reported excesses in diboson invariant mass searches of new resonances around 2 TeV, which might be a prediction of new physics around that mass range. We interpret these results in the context of a modified stealth doublet ... More

Dark Matter, LFV and Neutrino Magnetic Moment in the Radiative Seesaw Model with Triplet FermionFeb 28 2012In this paper we work in the framework of a radiative seesaw model with triplet fermion $\Sigma$. Due to the $Z_2$ discrete flavor symmetry, the lightest neutral component of $\Sigma$ is stable and thus can be a dark matter candidate. Its mass can be ... More

On the patterns observed in Kepler multi-planet systemsJul 03 2019Recent studies claimed that planets around the same star have similar sizes and masses and regular spacings, and that planet pairs usually show ordered sizes such that the outer planet is usually the larger one. Here I show that these patterns can be ... More

Improved Bethe-Heitler formulaJan 01 2019The bremsstrahlung cross section of electron in the atomic electric field is re-derived using the time ordered perturbative theory. The results are compared with the Bethe-Heitler formula. We indicate that both the TOPT-description and a soft version ... More

Gorenstein projective modules and Frobenius extensionsJul 18 2017We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein projective, then its underlying module over the the base ring is Gorenstein projective; the converse holds if the Frobenius extension is either left-Gorenstein ... More

On the Rate of Convergence for the Pseudospectral Optimal Control of Feedback Linearizable SystemsApr 06 2009In this paper, we prove a theorem on the rate of convergence for the optimal cost computed using PS methods. It is a first proved convergence rate in the literature of PS optimal control. In addition to the high-order convergence rate, two theorems are ... More

On iterated almost $ν$-stable derived equivalencesNov 06 2008Mar 08 2010In a recent paper \cite{HuXi3}, we introduced a classes of derived equivalences called almost $\nu$-stable derived equivalences. The most important property is that an almost $\nu$-stable derived equivalence always induces a stable equivalence of Morita ... More

Logarithmic Comparison with smooth boundary divisor in Mixed Hodge ModulesOct 20 2017We use filtered log-$\mathscr{D}$-modules to represent the (dual) localization of Saito's Mixed Hodge Modules along a smooth hypersurface, and show that they also behave well under the direct image functor and the dual functor in the derived category ... More

Antenna Array Signal Processing for Quaternion-Valued Wireless Communication SystemsApr 11 2015Quaternion-valued wireless communication systems have been studied in the past. Although progress has been made in this promising area, a crucial missing link is lack of effective and efficient quaternion-valued signal processing algorithms for channel ... More

Scaling Limits for Crump-Mode-Jagers Processes with Immigration via Stochastic Volterra EquationsSep 16 2018Nov 21 2018In this paper, we firstly give a reconstruction for Crump-Mode-Jagers processes with immigration as solutions to a class of stochastic Volterra integral equations, which offers us a new insight for the evolution dynamics of age-dependent population. Based ... More

Harnack Inequality and Applications for Stochastic Evolution Equations with Monotone DriftsFeb 03 2008Sep 10 2009In this paper, the dimension-free Harnack inequality is proved for the associated transition semigroups to a large class of stochastic evolution equations with monotone drifts. As applications, the ergodicity, hyper-(or ultra-)contractivity and compactness ... More

Phenomenological modelling for Time-Resolved Electron Paramagnetic Resonance in radical-triplet systemJan 01 2015The spin dynamics of radical-triplet system (RTS) has been calculated by using the Lindblad formalism within the theory of open quantum system. The single-radical-triplet system (SRTS) is considered here for single-qubit quantum gate operations while ... More

Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energiesJan 21 2018Jan 20 2019In this paper, we firstly extend Theorem 5.1.1 in \cite {Helein} due to H\'elein to a rescaled branched conformal immersed sequence(c.f. Theorem 1.5). By virtue of this local convergence theorem, we study the blowup behavior of a sequence of branched ... More

Edelstein and inverse Edelstein effects caused by the pristine surface states of topological insulatorsJul 21 2019The Edelstein effect caused by the pristine surface states of three-dimensional topological insulators is investigated by means of a semiclassical approach. The combined effect of random impurity scattering and the spin-momentum locking of the gapless ... More

Effects of Data Resolution and Human Behavior on Large Scale Evacuation SimulationsDec 30 2014Traffic Analysis Zones (TAZ) based macroscopic simulation studies are mostly applied in evacuation planning and operation areas. The large size in TAZ and aggregated information of macroscopic simulation underestimate the real evacuation performance. ... More

The case for a natural composite boson and negative vacuum energyJan 03 2019Jan 22 2019We revisit a dynamical symmetry breaking model with 4-fermion interactions. A prescription is proposed to remove the momentum routing ambiguity associated with fermion-antifermion condensations. The dynamically generated composite boson mass and vacuum ... More

Augmented Reality Applied to LEGO Construction: AR-based Building Instructions with High Accuracy & Precision and Realistic Object-Hand OcclusionsJul 29 2019Aug 11 2019BRICKxAR is an Augmented Reality-based construction method applied to LEGO as a case study. With BRICKxAR, real LEGO brick construction is guided by virtual bricks in the right place at the right time, step by step. Virtual and real object occlusions ... More

On the number of cyclic subgroup in finite groupsMay 01 2016We study the number of cylic subgroups in finite groups and get that $G$ has $|G|-3$ cyclic subgroups if and only if $G \cong D_{10}$ or $Q_8$.

A Survey of Exoplanetary Detection TechniquesMay 07 2018Exoplanets, or planets outside our own solar system, have long been of interest to astronomers; however, only in the past two decades have scientists had the technology to characterize and study planets so far away from us. With advanced telescopes and ... More

A proof of Baum-Connes conjecture of real semisimple Lie groups with coefficient on flag varietiesNov 19 2012We consider the equivariant K-theory of the real semisimple Lie group which acts on the (complex) flag variety of its complexification group. We construct an assemble map in the framework of KK-theory. Then we prove that it is an isomorphism. The prove ... More

The descent of twisted perfect complexes on a space with soft structure sheafMay 23 2016Apr 06 2018In this paper we study the dg-category of twisted perfect complexes on a ringed space with soft structure sheaf. We prove that this dg-category is quasi-equivalent to the dg-category of complexes of vector bundles on that space. This result could be considered ... More

On the exact variance of Tsallis entropy in a random pure stateJul 06 2018Tsallis entropy is a useful one-parameter generalization of the standard von Neumann entropy in information theory. We study the variance of Tsallis entropy of bipartite quantum systems in a random pure state. The main result is an exact variance formula ... More

Quantized Gromov-Hausdorff distanceMar 16 2005Mar 29 2005A quantized metric space is a matrix order unit space equipped with an operator space version of Rieffel's Lip-norm. We develop for quantized metric spaces an operator space version of quantum Gromov-Hausdorff distance. We show that two quantized metric ... More

Multiple closed geodesics on positively curved Finsler manifoldsMar 21 2018In this paper, we prove that on every Finsler manifold $(M,\,F)$ with reversibility $\lambda$ and flag curvature $K$ satisfying $\left(\frac{\lambda}{\lambda+1}\right)^2<K\le 1$, there exist $[\frac{\dim M+1}{2}]$ closed geodesics. If the number of closed ... More

Bayesian joint modeling of multiple gene networks and diverse genomic data to identify target genes of a transcription factorMar 20 2012We consider integrative modeling of multiple gene networks and diverse genomic data, including protein-DNA binding, gene expression and DNA sequence data, to accurately identify the regulatory target genes of a transcription factor (TF). Rather than treating ... More

Spike Onset Dynamics and Response Speed in Neuronal PopulationsMar 03 2011Recent studies of cortical neurons driven by fluctuating currents revealed cutoff frequencies for action potential encoding of several hundred Hz. Theoretical studies of biophysical neuron models have predicted a much lower cutoff frequency of the order ... More

Analysis and prediction of protein folding energy changes upon mutation by element specific persistent homologyMar 31 2017Motivation: Site directed mutagenesis is widely used to understand the structure and function of biomolecules. Computational prediction of protein mutation impacts offers a fast, economical and potentially accurate alternative to laboratory mutagenesis. ... More

Multidimensional persistence in biomolecular dataDec 24 2014Persistent homology has emerged as a popular technique for the topological simplification of big data, including biomolecular data. Multidimensional persistence bears considerable promise to bridge the gap between geometry and topology. However, its practical ... More

Persistent topology for cryo-EM data analysisDec 07 2014In this work, we introduce persistent homology for the analysis of cryo-electron microscopy (cryo-EM) density maps. We identify the topological fingerprint or topological signature of noise, which is widespread in cryo-EM data. For low signal to noise ... More

Efficient One-way Quantum Computations for Quantum Error CorrectionDec 14 2007Aug 18 2008We show how to explicitly construct an $O(nd)$ size and constant quantum depth circuit which encodes any given $n$-qubit stabilizer code with $d$ generators. Our construction is derived using the graphic description for stabilizer codes and the one-way ... More

$σ_2$ Yamabe problem on conic 4-spheresOct 11 2018Apr 13 2019We discuss the constant $\sigma_{2}$ problem for conic 4-spheres. Based on earlier works of Chang-Han-Yang and Han-Li-Teixeira, we are able to find a necessary condition for the existence problem. In particular, when the condition is sharp, we have the ... More

Optimal Switching at Poisson Random Intervention TimesSep 22 2013Mar 06 2014This paper introduces a new class of optimal switching problems, where the player is allowed to switch at a sequence of exogenous Poisson arrival times, and the underlying switching system is governed by an infinite horizon backward stochastic differential ... More