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Data-driven physics informed deep learning of solute transport with anomalous diffusionDec 04 2018Feb 11 2019The fractional advection-dispersion equation (FADE) has attracted increased attention from researchers as it provides an accurate description for challenging phenomenas with long-range time memory and spatial interactions, such as the anomalous diffusion ... More

Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximationNov 01 2018In this article a two-sided variable coefficient fractional diffusion equation (FDE) is investigated, where the variable coefficient occurs outside of the fractional integral operator. Under a suitable transformation the variable coefficient equation ... More

A fast method for variable-order space-fractional diffusion equationsJul 05 2019We develop a fast divided-and-conquer indirect collocation method for the homogeneous Dirichlet boundary value problem of variable-order space-fractional diffusion equations. Due to the impact of the space-dependent variable order, the resulting stiffness ... More

Spectral approximation of a variable coefficient fractional diffusion equation in one space dimensionOct 29 2018In this article we consider the approximation of a variable coefficient (two-sided) fractional diffusion equation (FDE), having unknown $u$. By introducing an intermediate unknown, $q$, the variable coefficient FDE is rewritten as a lower order, constant ... More

Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equationsJun 11 2019We study an initial-boundary value problem of variable-order time-fractional diffusion equations in one space dimension. Based on the wellposedness of the proposed model and the smoothing properties of its solutions, which are shown to be determined by ... More

Optimal order finite element approximations for variable-order time-fractional diffusion equationsMay 14 2019We study a fully discrete finite element method for variable-order time-fractional diffusion equations with a time-dependent variable order. Optimal convergence estimates are proved with the first-order accuracy in time (and second order accuracy in space) ... More

Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth dataFeb 26 2019In this article we study the numerical approximation of a variable coefficient fractional diffusion equation. Using a change of variable, the variable coefficient fractional diffusion equation is transformed into a constant coefficient fractional diffusion ... More

A fast method for variable-order space-fractional diffusion equationsJul 05 2019Jul 08 2019We develop a fast divided-and-conquer indirect collocation method for the homogeneous Dirichlet boundary value problem of variable-order space-fractional diffusion equations. Due to the impact of the space-dependent variable order, the resulting stiffness ... More

Accelerating Polynomial Homotopy Continuation on a Graphics Processing Unit with Double Double and Quad Double ArithmeticJan 26 2015Jun 12 2015Numerical continuation methods track a solution path defined by a homotopy. The systems we consider are defined by polynomials in several variables with complex coefficients. For larger dimensions and degrees, the numerical conditioning worsens and hardware ... More

Interpreting the Observed Clustering of Red Galaxies at z~3Jul 01 2003May 20 2004Daddi et al. have recently reported strong clustering of a population of red galaxies at z~3 in the Hubble Deep Field-South. Fitting the observed angular clustering with a power law of index -0.8, they infer a comoving correlation length r_0~8 Mpc/h; ... More

Projected Three-Point Correlation Functions and Galaxy BiasMay 26 2004Sep 06 2004The three-point correlation function (3PCF) can now be measured in large galaxy redshift surveys, but in three dimensions its interpretation is complicated by the presence of redshift-space distortions. I investigate the projected 3PCF, where these distortions ... More

GPU acceleration of Newton's method for large systems of polynomial equations in double double and quad double arithmeticFeb 11 2014May 13 2014In order to compensate for the higher cost of double double and quad double arithmetic when solving large polynomial systems, we investigate the application of NVIDIA Tesla K20C general purpose graphics processing unit. The focus on this paper is on Newton's ... More

A Closer look at Bursty Star Formation with $L_{Hα}$ and $L_{UV}$ DistributionsSep 17 2018May 15 2019We investigate the bursty star formation histories (SFHs) of dwarf galaxies using the distribution of log($L_{H\alpha}/L_{UV}$) of 185 local galaxies. We expand on the work of Weisz et al. 2012 to consider a wider range of SFHs and stellar metallicities, ... More

Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing UnitMay 03 2015Polynomial systems occur in many areas of science and engineering. Unlike general nonlinear systems, the algebraic structure enables to compute all solutions of a polynomial system. We describe our massive parallel predictor-corrector algorithms to track ... More

Galaxy assembly bias of central galaxies in the Illustris simulationDec 28 2018Galaxy assembly bias, the correlation between galaxy properties and halo properties at fixed halo mass, could be an important ingredient in halo-based modelling of galaxy clustering. We investigate the central galaxy assembly bias by studying the relation ... More

Gravitational Lensing by Ring-Like StructuresJan 12 2016Nov 05 2016We study a class of gravitational lensing systems consisting of an inclined ring/belt, with and without an added point mass at the centre. We show that a common feature of such systems are so-called "pseudo-caustics", across which the magnification of ... More

Superluminal Caustics of Close, Rapidly-Rotating Binary MicrolensesJan 12 2000The two outer triangular caustics (regions of infinite magnification) of a close binary microlens move much faster than the components of the binary themselves, and can even exceed the speed of light. When $\epsilon > 1$, where $\epsilon c$ is the caustic ... More

Dependence of Halo Bias and Kinematics on Assembly VariablesOct 18 2017Aug 30 2018Using dark matter haloes identified in a large $N$-body simulation, we study halo assembly bias, with halo formation time, peak maximum circular velocity, concentration, and spin as the assembly variables. Instead of grouping haloes at fixed mass into ... More

Radiative Transfer Effect on Ultraviolet Pumping of the 21cm Line in the High Redshift UniverseJun 06 2007During the epoch of reionization the 21cm signal is sensitive to the scattering rate of the ultraviolet photons, redshifting across the Lyman_alpha resonance. Here we calculate the photon scattering rate profile for a single ultraviolet source. After ... More

Formation of Globular Cluster Candidates in Merging Proto-galaxies at High Redshift: A View from the FIRE Cosmological SimulationsApr 10 2017Mar 09 2018Using a state-of-the-art cosmological simulation of merging proto-galaxies at high redshift from the FIRE project, with explicit treatments of star formation and stellar feedback in the interstellar medium, we investigate the formation of star clusters ... More

Gravitational Lensing by Ring-Like StructuresJan 12 2016We study a class of gravitational lensing systems consisting of an inclined ring/belt, with and without an added point mass at the centre. We show that a common property of such systems is the so-called "pseudo-caustics", across which the magnification ... More

Nature of Lyman Alpha Blobs: Powered by Extreme StarburstsOct 12 2012We present a new model for the observed Lyman alpha blobs (LABs) within the context of the standard cold dark matter model. In this model, LABs are the most massive halos with the strongest clustering (proto-clusters) undergoing extreme starbursts in ... More

Anisotropic Lyman-alpha EmissionAug 06 2013Sep 10 2014As a result of resonant scatterings off hydrogen atoms, Lyman-alpha (Lya) emission from star-forming galaxies provides a probe of the (hardly isotropic) neutral gas environment around them. We study the effect of the environmental anisotropy on the observed ... More

A modified adaptive cubic regularization method for large-scale unconstrained optimization problemApr 16 2019In this paper, we modify the adaptive cubic regularization method for large-scale unconstrained optimization problem by using a real positive definite scalar matrix to approximate the exact Hessian. Combining with the nonmonotone technique, we also give ... More

Accurate and Efficient Halo-based Galaxy Clustering Modelling with SimulationsJun 24 2015Mar 02 2016Small- and intermediate-scale galaxy clustering can be used to establish the galaxy-halo connection to study galaxy formation and evolution and to tighten constraints on cosmological parameters. With the increasing precision of galaxy clustering measurements ... More

When points are equivalent in long time behaviorsMar 29 2019We metric the distance between two points in a new way, and then show a new equivalent condition of ergodic measures. We also conclude a necessary and sufficient condition of uniquely ergodicity. What's more, an equivalent condition of when the time average ... More

Microlensing of Circumstellar DisksJul 11 2005Aug 26 2005We investigate the microlensing effects on a source star surrounded by a circumstellar disk, as a function of wavelength. The microlensing light curve of the system encodes the geometry and surface brightness profile of the disk. In the mid- and far-infrared, ... More

Reconciling observed and simulated stellar halo massesDec 15 2017We use cosmological hydrodynamical simulations of Milky-Way-mass galaxies from the FIRE project to evaluate various strategies for estimating the mass of a galaxy's accreted stellar halo from deep, integrated-light images. We find good agreement with ... More

Living Innovation Laboratory Model Design and ImplementationJan 27 2016Living Innovation Laboratory (LIL) is an open and recyclable way for multidisciplinary researchers to remote control resources and co-develop user centered projects. In the past few years, there were several papers about LIL published and trying to discuss ... More

Monte Carlo Simulations of Critical Dynamics with Conserved Order ParameterMar 06 2001Taking the two-dimensional Ising model for example, short-time behavior of critical dynamics with a conserved order parameter is investigated by Monte Carlo simulations. Scaling behavior is observed, but the dynamic exponent $z$ is updating schemes dependent. ... More

Generalized Dynamic Scaling for Critical RelaxationsJul 02 1996The dynamic relaxation process for the two dimensional Potts model at criticality starting from an initial state with very high temperature and arbitrary magnetization is investigated with Monte Carlo methods. The results show that there exists universal ... More

Universally optimal designs for two interference modelsMay 24 2014Apr 03 2015A systematic study is carried out regarding universally optimal designs under the interference model, previously investigated by Kunert and Martin [Ann. Statist. 28 (2000) 1728-1742] and Kunert and Mersmann [J. Statist. Plann. Inference 141 (2011) 1623-1632]. ... More

Optimal crossover designs for the proportional modelNov 12 2013In crossover design experiments, the proportional model, where the carryover effects are proportional to their direct treatment effects, has draw attentions in recent years. We discover that the universally optimal design under the traditional model is ... More

Matrix Factorization Method for Decentralized Recommender SystemsApr 28 2016Decentralized recommender system does not rely on the central service provider, and the users can keep the ownership of their ratings. This article brings the theoretically well-studied matrix factorization method into the decentralized recommender system, ... More

Companions on Artin stacksDec 30 2015Jun 13 2016Deligne's conjecture that $\ell$-adic sheaves on normal schemes over a finite field admit $\ell'$-companions was proved by L. Lafforgue in the case of curves and by Drinfeld in the case of smooth schemes. In this paper, we extend Drinfeld's theorem to ... More

A Study of Time Variations of UV Continuum and Emission Lines in 3C390.3Mar 04 1996Based on the IUE SWP spectra obtained between 1978 and 1994, the variations of the UV continuum and the Ly-alpha and C IV emission lines of the broad-line radio galaxy 3C390.3 are studied. The UV continuum between 1220 and 1990 A has varied considerably. ... More

The local properties of the Markov processes of Ornstein-Uhlenbeck typeSep 15 2010We prove the existence of a local time, the continuity of the local time about $t$, and the regular property for $a.e.$ $x\in R$ of a Ornstein-Uhlenbeck type $\{X_t,\ t\in R^+\}$ driven by a general L\'{e}vy process, under mild regularity conditions. ... More

Global solvability and boundedness in the $N$-dimensional quasilinear chemotaxis model with logistic source and consumption of chemoattractantJan 05 2018We consider the following chemotaxis model %fully parabolic Keller-Segel system with logistic source $$ \left\{\begin{array}{ll} u_t=\nabla\cdot(D(u)\nabla u)-\chi\nabla\cdot(u\nabla v)+\mu (u-u^2),\quad x\in \Omega, t>0, \disp{v_t-\Delta v=-uv },\quad ... More

Vacuum Misalignment in High Energy CollisionsOct 04 1993Oct 10 1993We study a recent proposal to observe the disoriented chiral condensate in high energy collisions. In order to produce a large fluctuation in pion probability distribution, a large size of the correlated region is essential. We study the role of the intrinsic ... More

Complement Spaces, Dual Complexes and Polyhedral Product SpacesSep 08 2016Nov 12 2016In this paper, we define and prove the basic properties of complement spaces, dual complexes and polyhedral product complexes. Then we compute the universal algebra of total homology split polyhedral product complexes and the Alexander duality isomorphism ... More

Long-term regularity of the periodic Euler--Poisson system for electrons in 2DFeb 12 2018Jan 03 2019We study a basic plasma physics model--the one-fluid Euler--Poisson system on the square torus, in which a compressible electron fluid flows under its own electrostatic field. In this paper we prove long-term regularity of periodic solutions of this system ... More

Graphs and the (co)homology of Lie algebrasJul 01 2011In this paper, we develop a diamond graph theory and apply the theory to the (co)homology of the Lie algebra generated by positive systems of the classical semi-simple Lie algebras over the field of complex numbers. As an application, we give the weight ... More

The doubling Archimedean zeta integrals for p-adic interpolationApr 15 2019We compute the Archimedean doubling zeta integrals which appear in the interpolation formulas for the p-adic L-functions of Siegel modular forms, and verify that they agree with the modified Archimedean Euler factors for p-adic interpolation conjectured ... More

Decay and Eigenvalue Problems in Isotropic TurbulenceJun 21 2016Based on the Karman-Howarth equation in 3D incompressible fluid, a new isotropic turbulence scale evolution equation and its related theory progress. The present results indicate that the energy cascading process has remarkable similarities with the determinisitic ... More

A new class of exact solution of two-dimensional incompressible vortex motionJan 13 2014Jan 14 2014At present in the fluid mechanics, mostly one like to use the vortex as a basic physical quantity, such that some exact solutions is based on the vorticity evolution equation. For the vortex flow problem with axisymmetry, it is well known that there exists ... More

Quantum and classical phase transitions in double-layer quantum Hall ferromagnetsMar 12 1997We consider the problem of quantum and classical phase transitions in double-layer quantum Hall systems at $\nu=1/m$ (m odd integers) from a long-wavelength statistical mechanics viewpoint. We derive an explicit mapping of the long-wavelength Lagrangian ... More

Efficient Numerical Strategy for High Dimensional Stochastic ProblemsMay 07 2019Uncertainty quantification appears today as a crucial point in numerous branches of science and engineering. In the past two decades, a growing interest has been devoted to stochastic finite element method (SFEM) for the propagation of uncertainties through ... More

Normal approximation and almost sure central limit theorem for non-symmetric Rademacher functionalsMar 15 2016Sep 01 2016In this work, we study the normal approximation and almost sure central limit theorems for some functionals of an independent sequence of Rademacher random variables. In particular, we provide a new chain rule that improves the one derived by Nourdin, ... More

Joint Beamforming Optimization and Power Control for Full-Duplex MIMO Two-way Relay ChannelNov 21 2014In this paper we explore the use of full-duplex radio to improve the spectrum efficiency in a two-way relay channel where two sources exchange information through an multi-antenna relay, and all nodes work in the full-duplex mode. The full-duplex operation ... More

Orientation data on moduli space of sheaves on Calabi-Yau threefoldDec 16 2012Feb 04 2015Kontsevich and Soibelman introduced a notion of orientation data on Calabi-Yau category. It can be viewed as a consistent choice of spin structure on moduli space of objects in the given category. The orientation data plays an important role in Donaldson-Thomas ... More

Classification of free actions on complete intersections of four quadricsJul 30 2007Sep 22 2010In this paper we classify all free actions of finite groups on Calabi-Yau complete intersection of 4 quadrics in $\PP^7$, up to projective equivalence. We get some examples of smooth Calabi-Yau threefolds with large nonabelian fundamental groups. We also ... More

The Chern-Ricci flow on Oeljeklaus-Toma manifoldsMay 27 2015Mar 18 2017We study the Chern-Ricci flow, an evolution equation of Hermitian metrics, on a family of Oeljeklaus-Toma (OT-) manifolds which are non-K\"{a}hler compact complex manifolds with negative Kodaira dimension. We prove that, after an initial conformal change, ... More

Six operations and Lefschetz-Verdier formula for Deligne-Mumford stacksJun 18 2010Dec 27 2014Laszlo and Olsson constructed Grothendieck's six operations for constructible complexes on Artin stacks in \'etale cohomology under an assumption of finite cohomological dimension, with base change established on the level of sheaves. In this article ... More

Mass Hierarchies with $m_{h}=125$ GeV from Natural SUSYDec 01 2013May 01 2014Our study starts with a sequence of puzzles that include $(a)$ at which level $\mu$ problem involving electroweak symmetry breaking can be solved; $(b)$ in which paradigm masses of superpartners in the third family can be lighter than in the first two ... More

MSSM with $m_{h}=125$ GeV in High-Scale Gauge MediationAug 25 2013Dec 10 2013After the discovery of SM-like Higgs with $m_{h}=125$ GeV, it is increasingly urgent to explore a solution to the hierarchy problem. In the context of MSSM from gauge-mediated SUSY breaking, the lower bound on gluino mass suggests that the messenger scale ... More

Minimal Vectorlike Model In Supersymmetric UnificationApr 23 2019Apr 26 2019In comparison with the minimal supersymmetry, an extension by vectorlike fermions is able to explain the Higgs mass while retaining the grand unification. In this paper, we study the minimal vectorlike model by focusing on the vectorlike leptons. We derive ... More

A Note on Bounds of Scalar Operators in Perturbative SCFTsMay 06 2012Jan 15 2013Bounds on anomalous dimensions of scalar operators in 4d superconformal field theory are explored through perturbative viewpoint. Following the recent work of Green and Shih, in which a conjecture involved this issue is verified at the NLO, we consider ... More

Time decay for Schroedinger equation with rough potentialsNov 30 2007We obtain certain time decay and regularity estimates for 3D Schroedinger equation with a potential in the Kato class by using Besov spaces associated with Schroedinger operators.

Exploring the evolutionary mechanisms underlying the viewing durations of learners on online coursesSep 18 2018We adopted survival analysis for the viewing durations of massive open online courses. The hazard function of empirical duration data is dominated by a bathtub curve and has the Lindy effect in its tail. To understand the evolutionary mechanisms underlying ... More

Assessing the level of merging errors for coauthorship data: a Bayesian modelNov 04 2017Dec 26 2018Robust analysis of coauthorship networks is based on high quality data. However, ground-truth data are usually unavailable. Empirical data suffer several types of errors, a typical one of which is called merging error, identifying different persons as ... More

The cohomology algebra of polyhedral product spacesJun 28 2012May 18 2016In this paper, we compute the cohomology ring of all homology split polyhedral product spaces and the cohomology algebra over a field of all polyhedral product spaces. As an application, we give two polyhedral product spaces such that all the cohomology ... More

A Note On Space NoncommutativityAug 24 1999Nov 15 1999We consider a two-point spatial lattice approximation to an open string moving in a flat background with B field. It gives a constrained dipole system under the influence of a vector potential. Solving and quantizing this system recover all the essential ... More

A Shrinking Target Problem with Target at Infinity in Rank One Homogeneous SpacesOct 06 2016Jun 11 2019In this paper, we give a definition of Diophantine points of type $\gamma$ for $\gamma\geq0$ in a homogeneous space $G/\Gamma$, and compute the Hausdorff dimension of the subset of points which are not Diophantine of type $\gamma$ when $G$ is a semisimple ... More

Spectral multipliers for Schroedinger operators with Poeschl-Teller potentialOct 03 2006Aug 14 2008We prove a sharp Mihlin-Hormander multiplier theorem for Schroedinger operators $H$ on $\R^n$. The method, which allows us to deal with general potentials, improves Hebisch's method relying on heat kernel estimates for positive potentials. Our result ... More

Several locality semigroups, path semigroups and partial semigroupsAug 31 2018Sep 05 2018Locality semigroups were proposed recently as one of the basic locality algebraic structures, which are studied in mathematics and physics. Path semigroups and partial semigroups were also developed by many authors in the literature. In this paper, we ... More

Shifted genus expanded $\cal{W}_{\infty}$ algebra and shifted Hurwtiz numbersApr 12 2016We construct the shifted genus expanded $\cal{W}_{\infty}$ algebra, which is isomorphic to the central subalgebra $\cal{A}_{\infty}$ of infinite symmetric group algebra and to the shifted Schur symmetrical function algebra $\Lambda^\ast$ defined by A. ... More

The Operator System Generated by Cuntz IsometriesOct 25 2014Apr 10 2015In this paper we consider the operator system $\cl{S}_n$ generated by $n$ Cuntz isometries, i.e. the span of the generators of the Cuntz algebra $\cl{O}_n$ together with their adjoints and the identity. We define an operator subsystem $\cl{E}_n\subseteq ... More

The upper bound theorem for flag homology 5-manifoldsMay 23 2018Mar 13 2019We prove that among all flag homology $5$-manifolds with $n$ vertices, the join of $3$ circles of as equal length as possible is the unique maximizer of all the face numbers. The same upper bounds on the face numbers hold for $5$-dimensional flag Eulerian ... More

Extended TQFT arising from enriched multi-fusion categoriesApr 19 2017We define a symmetric monoidal (4,3)-category with duals whose objects are certain enriched multi-fusion categories. For every modular tensor category $\mathcal{C}$, there is a self enriched multi-fusion category $\mathfrak{C}$ giving rise to an object ... More

Singularity formation for the compressible Euler equations with general pressure lawSep 16 2015In this paper, the singularity formation of classical solutions for the compressible Euler equations with general pressure law is considered. The gradient blow-up of classical solutions is shown without any smallness assumption by the delicate analysis ... More

Stability of a superposition of shock waves with contact discontinuities for the Jin-Xin relaxation systemFeb 11 2014In this paper, we consider the large time asymptotic nonlinear stability of a superposition of shock waves with contact discontinuities for the one dimensional Jin-Xin relaxation system with small initial perturbations, provided that the strengths of ... More

How to parameterize a light and broad resonance (the $σ$ meson)Apr 17 2003Aug 06 2003We point out that a commonly used parameterization form to describe the $\sigma$ resonance is problematic by introducing a spurious singularity below two particle threshold, on the second sheet. The spurious singularity violates chiral symmetry and leads ... More

A Renormalization Group Analysis of the Higgs Boson with Heavy Fermions and CompositenessFeb 19 1996Apr 11 1996We study the properties of heavy fermions in the vector-like representation of the electro-weak gauge group $SU(2)_W\times U(1)_Y$ with Yukawa couplings to the standard model (SM) Higgs boson. Using the renormalization group analysis, we discuss their ... More

A la Carte of Correlation Models: Which One to Choose?Oct 19 2010In this paper we propose a copula contagion mixture model for correlated default times. The model includes the well known factor, copula, and contagion models as its special cases. The key advantage of such a model is that we can study the interaction ... More

A parabolic Monge-Ampère type equation of Gauduchon metricsSep 26 2016Nov 02 2017We prove the long time existence and uniqueness of solution to a parabolic Monge-Amp\`ere type equation on compact Hermitian manifolds. We also show that the normalization of the solution converges to a smooth function in the smooth topology as $t$ approaches ... More

Sur la cohomologie des faisceaux l-adiques entiers sur les corps locauxJan 11 2007Jul 07 2008We study the behavior of integral l-adic sheaves on schemes of finite type over a local field under the six operations and the nearby cycle functor. ----- On etudie le comportement des faisceaux l-adiques entiers sur les schemas de type fini sur un corps ... More

Caculus of Variation and the $L^{2}$-Bergman Metric on Teichmüller SpaceJun 28 2005Apr 30 2006The canonical metric on a Riemann surface is the pullback from the Euclidean metric on the Jacobian variety via the period map. We study its induced L^2 metric on Teichmuller space via a variational approach.

Average curvatures of Weil-Petersson geodesics in Teichmuller spaceMar 27 2007May 13 2010We compute curvatures of a three-manifold formed by a Weil-Petersson geodesic in Teichmuller space.

Generalized Dynamic Scaling for Critical Magnetic SystemsMay 22 1997The short-time behaviour of the critical dynamics for magnetic systems is investigated with Monte Carlo methods. Without losing the generality, we consider the relaxation process for the two dimensional Ising and Potts model starting from an initial state ... More

Deterministic Equations of Motion and Phase Ordering DynamicsSep 22 1999We numerically solve microscopic deterministic equations of motion for the 2D $\phi^4$ theory with random initial states. Phase ordering dynamics is investigated. Dynamic scaling is found and it is dominated by a fixed point corresponding to the minimum ... More

A characterization of homology manifolds with $g_2\leq 2$Jul 19 2016We characterize homology manifolds with $g_2\leq 2$. Specifically, using retriangulations of simplicial complexes, we give a short proof of Nevo and Novinsky's result on the characterization of homology $(d-1)$-spheres with $g_2=1$ for $d\geq 5$ and extend ... More

The Measure of Strong CP ViolationSep 14 1992We investigate a controversial issue on the measure of CP violation in strong in teractions. In the presence of nontrivial topological gauge configurations, the $\theta$-term in QCD has a profound effect: it breaks the CP symmetry. The CP-violating amplitude ... More

Discovery of Scalar Mixed With SM Higgs Via Diboson Excess at the LHCAug 25 2015The prospect for the discovery of scalar weakly mixed with the SM Higgs is studied through the diboson signal excess at the Large Hadron Collider. Such scalar usually exists in scalar singlet extended SM. For illustration to the broad application of our ... More

A User's Guide to CARSKitNov 12 2015Context-aware recommender systems extend traditional recommenders by adapting their suggestions to users' contextual situations. CARSKit is a Java-based open-source library specifically designed for the context-aware recommendation, where the state-of-the-art ... More

Combating Malicious DNS TunnelMay 04 2016This paper proposes a defense scheme against malicious use of DNS tunnel. A tunnel validator is designed to provide trustworthy tunnel-aware defensive recursive service. In addition to the detection algorithm of malicious tunnel domains, the tunnel validation ... More

Does Your DNS Recursion Really Time Out as Intended? A Timeout Vulnerability of DNS Recursive ServersJun 30 2016Parallelization is featured by DNS recursive servers to do time-consuming recursions on behalf on clients. As common DNS configurations, recursive servers should allow a reasonable timeout for each recursion which may take as long as several seconds. ... More

An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with sensitivityMar 04 2019This paper deals with a boundary-value problem for a coupled chemotaxis-Navier-Stokes system involving tensor-valued sensitivity with saturation $$ \left\{ \begin{array}{l} n_t+u\cdot\nabla n=\Delta n-\nabla\cdot(nS(x,n,c)\nabla c),\quad x\in \Omega, ... More

The upper bounds on the edge numbers of flag odd dimensional normal pseudomanifoldsMay 23 2018We prove that among all $(2m-1)$-dimensional flag normal pseudomanifolds on $n$ vertices, the join of $m$ circles of as equal length as possible is the unique maximizer of the edge number.

Transverse Fully Nonlinear Equations on Sasakian Manifolds and ApplicationsAug 13 2018We prove a priori estimates for a class of transverse fully nonlinear equations on Sasakian manifolds and give some applications. This is a counterpart to the results of Sz\'ekelyhidi in the K\"ahler case.

ROS Navigation Tuning GuideJun 27 2017The ROS navigation stack is powerful for mobile robots to move from place to place reliably. The job of navigation stack is to produce a safe path for the robot to execute, by processing data from odometry, sensors and environment map. Maximizing the ... More

An Effective Framework for Constructing Exponent Lattice Basis of Nonzero Algebraic NumbersAug 08 2018Jan 29 2019Computing a basis for the exponent lattice of algebraic numbers is a basic problem in the field of computational number theory with applications to many other areas. The main cost of a well-known algorithm \cite{ge1993algorithms,kauers2005algorithms} ... More

The homology coalgebra and cohomology algebra of generalized moment-angle complexesJan 24 2012In this paper, we compute the homology coalgebra and cohomology algebra over a field of all generalized moment-angle complexes and give a duality theorem on complementary moment-angle complexes.

Existence of constant scalar curvature Kaehler cone metrics, properness and geodesic stabilityMar 26 2018In this article, we prove that the existence of the constant scalar curvature Kaehler (cscK) metrics with cone singularities is equivalent to the properness of the log $K$-energy, assuming that the automorphism group is discrete. We also prove their equivalence ... More

Learning Large-Scale Topological Maps Using Sum-Product NetworksJun 11 2017Jul 10 2017In order to perform complex actions in human environments, an autonomous robot needs the ability to understand the environment, that is, to gather and maintain spatial knowledge. Topological map is commonly used for representing large scale, global maps ... More

Integrability and Hamiltonian system in isotropic turbulenceFeb 05 2013Feb 14 2013We present developments of the Hamiltonian approach to problems of the freely decay of isotropic turbulence, and also consider specific applications of the modified Prelle-Singer procedure to isotropic turbulence. It demonstrates that a nonlinear second ... More

Large scale dynamics in two-dimensional turbulenceJul 15 2010We consider freely decaying two-dimensional isotropic turbulence. It is usually assumed that, in such turbulence, the energy spectrum at small wave number, takes the form, where is the two-dimensional version of Loitsyansky's integral. In this paper, ... More

Remarks on Sedov-type Solution of Isotropic TurbulenceApr 14 2009The assumption of similarity and self-preservation, which permits an analytical determination of the energy decay in isotropic turbulence, has played an important role in the development of turbulence theory for more than half a century. Sedov (1944), ... More

Statistical theory of isotropic turbulence Part IV: multiscales and cascadeDec 23 2010This paper is the forth part of our series of work, is devoted to the analysis on the multiscales and cascade aspects of the statistical theory of isotropic turbulence based on the new Sedov-type solution. In this paper, we use the explicit map method ... More

Multiscales and cascade in isotropic turbulenceOct 30 2010The central problem of fully developed turbulence is the energy cascading process. It has revisited all attempts at a full physical understanding or mathematical formulation. The main reason for this failure are related to the large hierarchy of scales ... More

A Shrinking Target Problem with Target at Infinity in Rank One Homogeneous SpacesOct 06 2016Oct 08 2018In this paper, we give a definition of Diophantine points of type $\gamma$ for $\gamma\geq0$ in a homogeneous space $G/\Gamma$, and compute the Hausdorff dimension of the subset of points which are not Diophantine of type $\gamma$ when $G$ is a semisimple ... More