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Hidden symmetry and Collective behaviorApr 22 2013We study the relationship between the partially synchronous state and the coupling structure in general dynamical systems. Our results show that, on the contrary to the widely accepted concept, topological symmetry in a coupling structure is the sufficient ... More

CRAFT Objects from ImagesApr 12 2016Object detection is a fundamental problem in image understanding. One popular solution is the R-CNN framework and its fast versions. They decompose the object detection problem into two cascaded easier tasks: 1) generating object proposals from images, ... More

Convolutional Channel FeaturesApr 28 2015Sep 24 2015Deep learning methods are powerful tools but often suffer from expensive computation and limited flexibility. An alternative is to combine light-weight models with deep representations. As successful cases exist in several visual problems, a unified framework ... More

Topological Symmetry And Existence of Partial SynchronizationOct 22 2008We study the relationship between the partial synchronous (PaS) state and the coupling structure in general dynamical systems. By the exact proof, we find the sufficient and necessary condition of the existence of PaS state for the coupling structure. ... More

Large Scale Purchase Prediction with Historical User Actions on B2C Online Retail PlatformAug 27 2014Mar 04 2015This paper describes the solution of Bazinga Team for Tmall Recommendation Prize 2014. With real-world user action data provided by Tmall, one of the largest B2C online retail platforms in China, this competition requires to predict future user purchases ... More

The Jacquet Langlands correspondence via twisted descentJan 02 2015Jan 07 2016The existence of the well-known Jacquet-Langlands correspondence was established by Jacquet and Langlands via the trace formula method in 1970. An explicit construction of such a correspondence was obtained by Shimizu via theta series in 1972. In this ... More

Aggregate channel features for multi-view face detectionJul 15 2014Sep 03 2014Face detection has drawn much attention in recent decades since the seminal work by Viola and Jones. While many subsequences have improved the work with more powerful learning algorithms, the feature representation used for face detection still can't ... More

Broadband omnidirectional invisibility for sound in three dimensionsMar 12 2014Acoustic cloaks that make object undetectable to sound waves have potential applications in a variety of scenarios and have received increasing interests recently. However, the experimental realization of a three-dimensional (3D) acoustic cloak that works ... More

Impurity Scattering Effect on Superconductivity and the Violation of Anderson Theorem in Ba(Fe_{1-x}Co_x)_2As_2 Single CrystalsJun 24 2009Jun 30 2009Low-temperature specific heat (SH) and resistivity were measured on Ba(Fe_{1-x}Co_x)_2As_2 single crystals in wide doping region. A sizeable residual specific heat coefficient \gamma_0 was observed in the low temperature limit of all samples. The specific ... More

Experimental realizations of full control of reflected waves with subwavelength acoustic metasurfacesJul 04 2014Dec 26 2014Metasurfaces with subwavelength thickness have exhibited unconventional phenomena in ways that could not be mimicked by traditional materials. Here we report the analytical design and experimental realizations of acoustic metasurface with hitherto inaccessible ... More

Renner-Teller Effect on Dissociative Electron Attachments to Carbon DioxideOct 28 2011Stereo-dynamics of dissociative electron attachments to CO_2 is investigated by the O^- anion velocity imaging experiments combined with the R-matrix calculations. ^2{\Pi}_g as a Feshbach resonant state of CO_2^- is confirmed to play roles in the dissociations ... More

A Prototype of Trigger Electronics for LAWCA ExperimentMay 21 2013The Large Area Water Cherenkov Array (LAWCA) experiment focuses on high energy gamma astronomy between 100 GeV and 30 TeV. Invoked by the idea of hardware triggerless structure, a prototype of LAWCA trigger electronics is implemented in one single VME-9U ... More

The Analog Front-end Prototype Electronics Designed for LHAASO WCDAApr 22 2015In the readout electronics of the Water Cerenkov Detector Array (WCDA) in the Large High Altitude Air Shower Observatory (LHAASO) experiment, both high-resolution charge and time measurement are required over a dynamic range from 1 photoelectron (P.E.) ... More

$B\rightarrow X_{_S}l^+l^-$ in the minimal gauged $(B-L)$ supersymmetryDec 07 2016Applying the effective Hamilton for $b\rightarrow sl^+l^-,\;(l=e,\;\mu)$ in the framework of minimal supersymmetric extension of the standard model with local $B-L$ gauge symmetry, we investigate branching ratios and forward-backward asymmetries of rare ... More

The Trigger System for the External Target Experiment in CSR of HIRFLDec 16 2015A trigger system was designed for the external target experiment in the Cooling Storage Ring (CSR) of the Heavy Ion Research Facility in Lanzhou (HIRFL). Considering that different detectors are scattered in a large area, the trigger system is designed ... More

Kernel Risk-Sensitive Loss: Definition, Properties and Application to Robust Adaptive FilteringAug 01 2016Nonlinear similarity measures defined in kernel space, such as correntropy, can extract higher-order statistics of data and offer potentially significant performance improvement over their linear counterparts especially in non-Gaussian signal processing ... More

A Fast local Reconstruction algorithm by selective backprojection for Low-Dose in Dental Computed TomographyNov 19 2013High radiation dose in computed tomography (CT) scans increases the lifetime risk of cancer, which become a major clinical concern. The backprojection-filtration (BPF) algorithm could reduce radiation dose by reconstructing images from truncated data ... More

A Comprehensive Analysis of Fermi Gamma-ray Burst Data: II. $E_{\rm p}$-Evolution Patterns and Implications for the Observed Spectrum-Luminosity RelationsApr 03 2012Jul 13 2012We present a time-resolved spectral analysis of 51 long and 11 short bright GRBs observed with the {\em Femri}/GBM, paying special attention to $E_{\rm p}$ evolution within a same burst. Among 8 single-pulse long GRBs, 5 show hard-to-soft evolution, while ... More

Observation of Lattice and Andreev Bound States of Vortices in Ba0.6K0.4Fe2As2 Single Crystals with Scanning Tunneling Microscopy/SpectroscopyMay 21 2010For a type-II superconductor, when the applied magnetic field is higher than the lower critical value Hc1, the magnetic flux will penetrate into the superconductor and form quantized vortices, which usually are arranged in an Abrikosov lattice. For the ... More

Thermoelectric properties of polycrystalline palladium sulfideFeb 08 2018A suite measurements of the electrical, thermal, and vibrational properties are conducted on palladium sulfide (PdS) in order to investigate its thermoelectric performance. The tetragonal structure with the space group $P$42/$m$ for PdS is determined ... More

Superconductivity in undoped CaFe2As2 single crystalsApr 18 2016Single crystals of undoped CaFe2As2 were grown by a FeAs self-flux method, and the crystals were quenched in ice-water rapidly after high temperature growth. The quenched crystal undergoes a collapsed tetragonal structural phase transition around 80 K ... More

Superconductivity and phase diagrams in 4d- and 5d-metal-doped iron arsenides SrFe_{2-x}M_xAs_2 (M = Rh, Ir, Pd)Jun 02 2009By substituting the Fe with the 4d and 5d-transition metals Rh, Ir and Pd in SrFe_2As_2, we have successfully synthesized a series of superconductors SrFe_{2-x}M_xAs_2 (M = Rh, Ir and Pd) and explored the phase diagrams of them. The systematic evolution ... More

Transport properties and asymmetric scattering in Ba$_{1-x}$K$_x$Fe$_2$As$_2$ single crystals compared to the electron doped counterparts Ba(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$}Jun 21 2011Nov 23 2011Resistivity, Hall effect and magnetoresistance have been investigated systematically on single crystals of Ba$_{1-x}$K$_x$Fe$_2$As$_2$ ranging from undoped to optimally doped regions. A systematic evolution of the quasiparticle scattering has been observed. ... More

Low Temperature Specific Heat of Optimally Doped BaFe$_{2-x}$$TM_x$As$_{2}$ ($TM$ = Co and Ni) Single Crystals: Constraint on the Pairing GapJun 14 2010Low temperature specific heat has been measured in optimally doped and highly overdoped non-superconducting BaFe$_{2-x}$TM$_x$As$_{2}$ ($TM$ = Co and Ni) single crystals. By using the data of the overdoped samples, we successfully removed the phonon contribution ... More

Time and Energy Measurement Electronics for Silicon Drift Detector Aimed for X-ray Pulsar NavigationFeb 22 2016Mar 09 2016A readout electronic with high time and energy resolution performance is designed for the SDD (Silicon Drift Detector) signals readout, which is aimed for X-ray pulsar based navigation (XNAV). For time measurement, the input signal is fed into a fast ... More

Design and simulation of a 12-bit, 40 MSPS asynchronous SAR ADC for the readout of PMT signalJan 14 2016High precision and large dynamic range measurement are required in the readout systems for the Water Cherenkov Detector Array (WCDA) in Large High Altitude Air Shower Observatory (LHAASO). This paper presents a prototype of 12-bit 40 MSPS Analog-to-Digital ... More

Efficient Image Reconstruction and Practical Decomposition for Dual-energy Computed TomographyJul 06 2016Jul 29 2016Dual-energy computed tomography (DECT) has shown great potential and promising applications in advanced imaging fields for its capabilities of material decomposition. However, image reconstructions and decompositions under sparse views dataset suffers ... More

Experimental observation of anisotropic Adler-Bell-Jackiw anomaly in type-II Weyl semimetal WTe$_2$ crystalsAug 18 2016Adler-Bell-Jackiw (ABJ) anomaly, being a spectacular phenomenon in quantum field theory, was recently observed in several Weyl semimetals. The latest progress is the theoretical extension of Weyl semimetal to the type-II Weyl semimetal. The electron dispersion ... More

A Lattice Study of $(\bar{D}_1 D^{*})^\pm$ Near-threshold ScatteringJan 31 2016Jun 28 2016In this exploratory lattice study, low-energy near threshold scattering of the $(\bar{D}_1 D^{*})^\pm$ meson system is analyzed using lattice QCD with $N_f=2$ twisted mass fermion configurations. Both s-wave ($J^P=0^-$) and p-wave ($J^P=1^+$) channels ... More

Gap Anisotropy in Iron-Based Superconductors: A Point-Contact Andreev Reflection Study of BaFe$_{2-x}$Ni$_{x}$As$_2$ Single CrystalsJun 15 2011Nov 11 2011We report a systematic investigation on c-axis point-contact Andreev reflection (PCAR) in BaFe$_{2-x}$Ni$_x$As$_2$ superconducting single crystals from underdoped to overdoped regions (0.075 $\leq x\leq 0.15$). At optimal doping ($x=0.1$) the PCAR spectrum ... More

Global Regularity to the Navier-Stokes Equations for A Class of Large Initial DataMar 19 2015Apr 08 2015We prove that for initial data of the form \begin{equation}\nonumber u_0^\epsilon(x) = (v_0^h(x_\epsilon), \epsilon^{-1}v_0^n(x_\epsilon))^T,\quad x_\epsilon = (x_h, \epsilon x_n)^T, n \geq 4, \end{equation} the Cauchy problem of the incompressible Navier-Stokes ... More

Metallicity and Star Formation Activities of the Interacting System Arp 86 from Observation with MOS on Xinglong 2.16m TelescopeApr 28 2014We present an analysis of the metallicity and star formation activities of HII regions in the interacting system Arp 86, based on the first scientific observation of the multi-object spectroscopy on the 2.16m Telescope at Xinglong Observatory. We find ... More

Electromagnetically induced transparency in hybrid plasmonic-dielectric systemNov 19 2010We present theoretical and numerical analysis of a plasmonic-dielectric hybrid system for symmetric and asymmetric coupling between silver cut-wire pairs and silicon grating waveguide with periodic grooves. The results show that both couplings can induce ... More

Mixture Modeling based Probabilistic Situation AwarenessSep 28 2015Oct 07 2015The problem of situational awareness (SAW) is investigated from the probabilistic modeling point of view. Taking the situation as a hidden variable, we introduce a hidden Markov model (HMM) and an extended state space model (ESSM) to mathematically express ... More

Positive curvature property for some hypoelliptic heat kernelsJun 14 2010In this note, we look at some hypoelliptic operators arising from nilpotent rank 2 Lie algebras. In particular, we concentrate on the diffusion generated by three Brownian motions and their three L\'evy areas, which is the simplest extension of the Laplacian ... More

Operator-valued free Fisher information of random matricesJan 22 2006We study the operator-valued free Fisher information of random matrices in an operator-valued noncommutative probability space. We obtain a formula for $\Phi^\ast_{M_2(\mb)}(A,A^\ast,M_2(\mb),\eta)$, where $A\in M_2(\mb)$ is a $2\times 2$ operator matrix ... More

Wholeness as a Hierarchical Graph to Capture the Nature of SpaceFeb 12 2015Mar 27 2015According to Christopher Alexander's theory of centers, a whole comprises numerous, recursively defined centers for things or spaces surrounding us. Wholeness is a type of global structure or life-giving order emerging from the whole as a field of the ... More

A Complex-Network Perspective on Alexander's WholenessFeb 29 2016Jul 17 2016The wholeness, conceived and developed by Christopher Alexander, is what exists to some degree or other in space and matter, and can be described by precise mathematical language. However, it remains somehow mysterious and elusive, and therefore hard ... More

A Topological Pattern of Urban Street Networks: Universality and PeculiarityMar 24 2007Aug 28 2007In this paper, we derive a topological pattern of urban street networks using a large sample (the largest so far to the best of our knowledge) of 40 U.S. cities and a few more from elsewhere of different sizes. It is found that all the topologies of urban ... More

Measuring the Entropy and Testing the Second Law of ThermodynamicsMar 19 2002Evidence implies that basic laws of thermodynamics must be tested by experiments. In this paper, an experiment is designed to measure the entropy of a system with at least one known (measurable) equation of state, especially the gas systems. Since the ... More

On the Kahler Ricci flow on projective manifolds of general typeJan 17 2015We consider the K\"ahler Ricci flow on a smooth minimal model of general type, we show that if the Ricci curvature is uniformly bounded below along the K\"ahler-Ricci flow, then the diameter is uniformly bounded. As a corollary we show that under the ... More

Colliding Plane Wave Solutions in String theory RevisitedSep 02 2004Dec 06 2004We construct the colliding plane wave solutions in the higher-dimensional gravity theory with fluxes and dilaton, with a more general ansatz on the metric. We consider two classes of solutions to the equations of motions and after imposing the junction ... More

On holographic thermalization and gravitational collapse of massless scalar fieldsAug 07 2012Sep 29 2012In this paper we study thermalization in a strongly coupled system via AdS/CFT. Initially, the energy is injected into the system by turning on a spatially homogenous scalar source coupled to a marginal composite operator. The thermalization process is ... More

On p_T-broadening of high energy partons associated with the LPM effect in a finite-volume QCD mediumFeb 02 2011Sep 27 2011We study the contributions from radiation to $p_{\perp}$-broadening of a high energy parton traversing a QCD medium with a finite length $L$. The interaction between the parton and the medium is described by decorrelated static multiple scattering. Amplitudes ... More

Radiative energy loss and radiative p_T-broadening of high-energy partons in QCD matterAug 23 2014Dec 16 2014We study the connection between radiative energy loss and radiative p_T-broadening of a high-energy quark or gluon passing through QCD matter. The generalized Baier-Dokshitzer-Mueller-Peigne-Schiff-Zakharov (BDMPS-Z) formalism is used to calculate energy ... More

On holographic thermalization and gravitational collapse of tachyonic scalar fieldsJan 16 2013Mar 24 2013In this paper we study the thermalization of a spatially homogeneous system in a strongly coupled CFT. The non-equilibrium initial state is created by switching on a relevant perturbation in the CFT vacuum during Delta t >= t >= -Delta t. Via AdS/CFT, ... More

Non-elementary convergence groups are acylindrically hyperbolicDec 01 2016We proved that non-elementary discrete convergence groups are acylindrically hyperbolic.

Whittaker Modules for Graded Lie AlgebrasFeb 22 2009Mar 04 2009In this paper, we study Whittaker modules for graded Lie algebras. We define Whittaker modules for a class of graded Lie algebras and obtain a bijective correspondence between the set of isomorphism classes of Whittaker modules and the set of ideals of ... More

On the cuspidal support of discrete series for $p$-adic quasisplit $Sp(N)$ and $SO(N)$Apr 30 2015Jan 04 2016Zelevinsky's classification theory of discrete series of $p$-adic general linear groups has been well known. M{\oe}glin and Tadic gave the same kind of theory for $p$-adic classical groups, which is more complicated due to the occurrence of nontrivial ... More

Improved Accuracy of Incompressible Approximation of Compressible Euler EquationsFeb 03 2014Aug 29 2014This article addresses a fundamental concern regarding the incompressible approximation of fluid motions, one of the most widely used approximations in fluid mechanics. Common belief is that its accuracy is $O(\epsilon)$ where $\epsilon$ denotes the Mach ... More

Some effects of the noise intensity upon non-linear stochastic heat equations on $[0,1]$Jun 19 2015Various effects of the noise intensity upon the solution $u(t,x)$ of the stochastic heat equation with Dirichlet boundary conditions on $[0,1]$ are investigated. We show that for small noise intensity, the $p$-th moment of $\sup_{x \in [0,1]} |u(t,x)|$ ... More

Decomposition of the Symmetric PowersFeb 22 2012A decomposition of any symmetric power of $\Bbb C^2\otimes\Bbb C^2\otimes\Bbb C^2$ into irreducible $sl_2(\Bbb C)\oplus sl_2(\Bbb C)\oplus sl_2(\Bbb C)$-submodules are presented. Namely, the multiplicities of irreducible summands in the symmetric power ... More

On a lifting problem of L-packetsJan 05 2015Mar 01 2016Let $G \subseteq \tilde{G}$ be two quasisplit connected reductive groups over a local field of characteristic zero and $G_{der} = \tilde{G}_{der}$. Although the existence of L-packets is still conjectural in general, it is believed that the L-packets ... More

Compact Group Actions On Closed Manifolds of Non-positive CurvatureMay 30 2005A. Borel proved that, if a finite group $F$ acts effectively and continuously on a closed aspherical manifold $M$ with centerless fundamental group $\pi_1(M)$, then a natural homomorphism $\psi$ from $F$ to the outer automorphism group ${\rm Out} \pi_1(M)$ ... More

Remarks on Li-Yau inequality on graphsNov 14 2013In this paper, we study Li-Yau gradient estimates for the solutions $u$ to the heat equation $\partial_tu=\Delta u$ on graphs under the curvature condition $CD(n,-K)$ introduced by Bauer et al. in \cite{BHLLMY}. As applications, we derive Harnack inequalities ... More

Load Balancing via Joint Transmission in Heterogeneous LTE: Modeling and ComputationFeb 26 2016As one of the Coordinated Multipoint (CoMP) techniques, Joint Transmission (JT) can improve the overall system performance. In this paper, from the load balancing perspective, we study how the maximum load can be reduced by optimizing JT pattern that ... More

Range Assignment for Power Optimization in Load-Coupled Heterogeneous NetworksFeb 26 2016We consider the problem of transmission energy op- timization via range assignment for Low Power Nodes (LPNs) in Long Term Evolution (LTE) Heterogenous Networks (HetNets). The optimization is subject to the load coupling model, where the cells interfere ... More

Asymptotic estimates on the time derivative of $Φ$-entropy on Riemannian manifoldsApr 16 2011Aug 11 2011In this note, we obtain the asymptotic estimate for the time derivative of the $\Phi$-entropy in terms of the lower bound on the Bakry-Emery $\Gamma_2$ curvature. In the cases of Hyperbolic space and Heisenberg group, we show that the time derivative ... More

Pairs of Frequency-based Nonhomogeneous Dual Wavelet Frames in the Distribution SpaceJul 20 2009Dec 22 2009In this paper, we study nonhomogeneous wavelet systems which have close relations to the fast wavelet transform and homogeneous wavelet systems. We introduce and characterize a pair of frequency-based nonhomogeneous dual wavelet frames in the distribution ... More

Radiative energy loss and radiative p_T-broadening of high-energy partons in QCD matterSep 24 2015I give a self-contained review on radiative p_T-broadening and radiative energy loss of high-energy partons in QCD matter. The typical p_T^2 of high-energy partons receives a double logarithmic correction due to the recoiling effect of medium-induced ... More

A combinatorial solution to Mœglin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $O(N)$Mar 24 2016We develop a general procedure to study the combinatorial structure of Arthur packets for $p$-adic quasisplit $Sp(N)$ and $O(N)$ following the works of M{\oe}glin. This allows us to answer many delicate questions concerning the Arthur packets of these ... More

The Degree of Symmetry of Certain Compact Smooth Manifolds IIMay 30 2005Nov 29 2005In this paper, we give the sharp estimates for the degree of symmetry and the semi-simple degree of symmetry of certain four dimensional fiber bundles by virtue of the rigidity theorem of harmonic maps due to Schoen and Yau. As a corollary of this estimate, ... More

Finite Operator-Valued FramesSep 27 2010Operator-valued frames are natural generalization of frames that have been used in quantum computing, packets encoding, etc. In this paper, we focus on developing the theory about operator-valued frames for finite Hilbert spaces. Some results concerning ... More

Positive curvature property for sub-Laplace on nilpotent Lie group of rank twoDec 15 2011In this note, we concentrate on the sub-Laplace on the nilpotent Lie group of rank two, which is the infinitesimal generator of the diffusion generated by $n$ Brownian motions and their $\frac{n(n-1)}2$ L\'evy area processes, which is the simple extension ... More

Excluding long pathsMar 28 2015Ding (1992) proved that for each integer ${m} \geqslant 0$, and every infinite sequence of finite simple graphs $G_1, G_2, \ldots$, if none of these graphs contains a path of length ${m}$ as a subgraph, then there are indices $i < j$ such that $G_i$ is ... More

Sparse Representation on Graphs by Tight Wavelet Frames and ApplicationsNov 10 2014Oct 06 2015In this paper, we introduce a new (constructive) characterization of tight wavelet frames on non-flat domains in both continuum setting, i.e. on manifolds, and discrete setting, i.e. on graphs; discuss how fast tight wavelet frame transforms can be computed ... More

Cycles of strategies and changes of distribution in public goods game: An experimental investigationJul 08 2013Jun 14 2014In this communication, a simple mechanism in the optional public goods game is experimentally investigated using two experimental settings; and first time, the cyclic strategy pattern in full state space is demonstrated by means of velocity. It is, furthermore, ... More

Conjugacy of Borel subalgebras of restricted Lie algeberas and the associated solvabel algebraic groups (I)Apr 04 2014Let (g,[p]) be a finite-dimensional restricted Lie algebra defined over an algebraically closed field K of characteristic p > 0, and G be the adjoint group of g. A Borel subalgebra (or Borel for short) of g is defined as a maximal solvable subalgebra ... More

Additive preserving rank one maps on Hilbert $C^\ast$-modulesMay 04 2007In this paper, we characterize a class of additive maps on Hilbert $C^\ast$-modules which maps a "rank one" adjointable operators to another rank one operators.

Clemens' conjecture: part IINov 14 2005Jul 23 2011This is the part II of our series of two papers, "Clemens' conjecture: part I", "Clemens' conjecture: part II". Continuing from part I, in this paper we turn our attention to general quintic threefolds. In a universal quintic threefold X, we construct ... More

An example on deformation of a pairNov 20 2014In this paper we give an example to show Clemens' conjecture is not a first order deformation problem.

Cycles that are incidence equivalent to zeroApr 20 2015Feb 25 2016In this paper, we apply incidence divisors constructed through Archimedean height paring to prove that Griffiths' conjecture on incidence equivalence is correct for a smooth projective variety with first non-vanishing cohomology.

Hilbert schemes of rational curves on Fano hypersurfacesJan 24 2015In this paper we try to further explore the linear model of the moduli of rational maps. Our attempt yields following results. Let $X\subset \mathbf P^n$ be a generic hypersurface of degree $h$. Let $R_d(X, h)$ denote the open set of the Hilbert scheme ... More

StabilityOct 01 2013Reproducibility is imperative for any scientific discovery. More often than not, modern scientific findings rely on statistical analysis of high-dimensional data. At a minimum, reproducibility manifests itself in stability of statistical results relative ... More

The Templates of Nonsingular Smale Flows on Three ManifoldsMar 11 2011In this paper, we first discuss some connections between template theory and the description of basic sets of Smale flows on 3-manifolds due to F. B\'eguin and C. Bonatti. The main tools we use are symbolic dynamics, template moves and some combinatorial ... More

Affine Hirsch foliations on 3-manifoldsApr 13 2016Apr 14 2016This paper is devoted to discussing affine Hirsch foliations on $3$-manifolds. First, we prove that up to isotopic leaf-conjugacy, every closed orientable $3$-manifold $M$ admits $0$, $1$ or $2$ affine Hirsch foliations. Then, we analysis the $3$-manifolds ... More

Probing the gravitational Faraday rotation using quasar X-ray microlensingNov 26 2015The effect of gravitational Faraday rotation was predicted in the 1950s, but there is currently no practical method for measuring this effect. Measuring this effect is important because it will provide new evidence for correctness of general relativity, ... More

Derandomizing Polynomial Identity over Finite Fields Implies Super-Polynomial Circuit Lower Bounds for NEXPNov 11 2013We show that derandomizing polynomial identity testing over an arbitrary finite field implies that NEXP does not have polynomial size boolean circuits. In other words, for any finite field F(q) of size q, $PIT_q\in NSUBEXP\Rightarrow NEXP\not\subseteq ... More

Multivariate Polynomial Integration and Derivative Are Polynomial Time Inapproximable unless P=NPDec 10 2010We investigate the complexity of integration and derivative for multivariate polynomials in the standard computation model. The integration is in the unit cube $[0,1]^d$ for a multivariate polynomial, which has format $f(x_1,\cdots, x_d)=p_1(x_1,\cdots, ... More

L-packets of quasisplit $GSp(2n)$ and $GO(2n)$Mar 17 2015Aug 16 2016In his monograph (2013) Arthur characterizes the L-packets of quasisplit symplectic groups and orthogonal groups. By extending his work, we characterize the L-packets for the corresponding similitude groups with desired properties. In particular, we show ... More

Asymptotic behavior of $L^2$-normalized eigenfunctions of the Laplace-Beltrami operator on a closed Riemannian manifoldSep 04 2005Oct 18 2005Let $e(x,y,\l)$ be the spectral function and ${\chi}_\l$ the unit band spectral projection operator, with respect to the Laplace-Beltrami operator $\D_M$ on a closed Riemannian manifold $M$. We firstly review the one-term asymptotic formula of $e(x,x,\l)$ ... More

On Mœglin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $SO(N)$Jul 29 2015Sep 01 2016We give a survey on M{\oe}glin's construction of representations in the Arthur packets for $p$-adic quasisplit symplectic and orthogonal groups. The emphasis is on comparing M{\oe}glin's parametrization of elements in the Arthur packets with that of Arthur. ... More

Differential Harnack inequalities and Perelman type entropy formulae for subelliptic operatorsJul 09 2013In this paper, under the generalized curvature-dimension inequality recently introduced by F. Baudoin and N. Garofalo, we obtain differential Harnack inequalities for the positive solutions to the Sch\"odinger equation associated to subelliptic operator ... More

Beta-Ag2Te: A topological insulator with strong anisotropyApr 17 2012Mar 13 2013We present evidence of topological surface states in beta-Ag2Te through first-principles calculations and periodic quantum interference effect in single crystalline nanoribbon. Our first-principles calculations show that beta-Ag2Te is a topological insulator ... More

Tunable Semimetallic State in Compressive-strained SrIrO3 Films Revealed by Transport BehaviorsJun 16 2014Oct 20 2014Orthorhombic SrIrO3 is a typical spin-orbit-coupling correlated metal that shows diversified physical properties under the external stimuli. Here nonlinear Hall effect and weakly temperature-dependent resistance are observed in a SrIrO3 film epitaxially ... More

Two Photon Decays of $η_c$ from Lattice QCDJan 30 2016Jun 28 2016We present an exploratory lattice study for the two-photon decay of $\eta_c$ using $N_f=2$ twisted mass lattice QCD gauge configurations generated by the European Twisted Mass Collaboration. Two different lattice spacings of $a=0.067$fm and $a=0.085$fm ... More

Quantitative Study on Exact Reconstruction Sampling Condition in Limited-view CTJan 23 2016In limited-view computed tomography reconstruction, iterative image reconstruction with sparsity-exploiting methods, such as total variation (TV) minimization, inspired by compressive sensing, potentially claims large reductions in sampling requirements. ... More

Bose-Einstein Condensates in a Cavity-mediated Triple-wellJul 12 2012We investigate the energy structures and the dynamics of a Bose-Einstein condensates (BEC) in a triple-well potential coupled a high finesse optical cavity within a mean field approach. Due to the intrinsic atom-cavity field nonlinearity, several interesting ... More

Unveiling the electronic inhomogeneity and pseudogap in transition metal dichalcogenide 1T-TiSe2Nov 30 2016Inhomogeneous electron state and pseudogap have been widely observed in underdoped high temperature superconducting (HTSC) cuprates and some other strongly correlated materials. These phenomena are believed to be the characteristics of doped Mott insulators ... More

Topological transitions induced by antiferromagnetism in a thin-film topological insulatorDec 06 2016Ferromagnetism in topological insulators (TIs) opens a topologically non-trivial exchange band gap, providing an exciting platform to manipulate the topological order through an external magnetic field. Here, we experimentally show that the surface of ... More

Transient dynamics of molecular devices under step-like pulse biasSep 24 2009We report first principles investigation of time-dependent current of molecular devices under a step-like pulse.Our results show that although the switch-on time of the molecular device is comparable to the transit time, much longer time is needed to ... More

Warburg Effect due to Exposure to Different Types of RadiationMar 10 2013Cancer cells maintain a high level of aerobic glycolysis (the Warburg effect), which is associated with their rapid proliferation. Many studies have reported that the suppression of glycolysis and activation of oxidative phosphorylation can repress the ... More

The study of neutron spectra in water bath from Pb target irradiated by 250MeV/u protonsSep 05 2014The spallation neutrons were produced by the irradiation of Pb with 250 MeV protons. The Pb target was surrounded by water which was used to slow down the emitted neutrons. The moderated neutrons in the water bath were measured by using the resonance ... More

Low-energy Scattering of $(D\bar{D}^{*})^\pm$ System And the Resonance-like Structure $Z_c(3900)$Mar 06 2014Apr 30 2014In this exploratory lattice study, low-energy scattering of the $(D\bar{D}^{*})^\pm$ meson system is analyzed using lattice QCD with $N_f=2$ twisted mass fermion configurations with three pion mass values. The calculation is performed within single-channel ... More

Nonlinear differential Galois theoryAug 20 2006Apr 23 2011Differential Galois theory has played important roles in the theory of integrability of linear differential equation. In this paper we will extend the theory to nonlinear case and study the integrability of the first order nonlinear differential equation. ... More

$Sp_{2n}(F_{q^{2}})$-Invariants In Irreducible Unipotent Representations of $Sp_{4n}(F_{q})$Mar 28 2013We show that for any irreducible representation of $Sp_{4n}(F_{q})$, the subspace of all its $Sp_{2n}(F_{q^{2}})$-invariants is at most one-dimensional. In terms of Lusztig symbols, we give a complete list of irreducible unipotent representations of $Sp_{4n}(F_{q})$ ... More

Asymptotic Behavior of Blowup Solutions for Elliptic Equations with Exponential Nonlinearity and Singular DataOct 28 2008We consider a sequence of blowup solutions of a two dimensional, second order elliptic equation with exponential nonlinearity and singular data. This equation has a rich background in physics and geometry. In a work of Bartolucci-Chen-Lin-Tarantello it ... More

Calculation of l-adic local Fourier transformationsFeb 15 2007Jun 04 2010We calculate the local Fourier transformations for a class of $\bar{\mathbb Q}_\ell$-sheaves. In particular, we verify a conjecture of Laumon and Malgrange. As an application, we calculate the local monodromy of $\ell$-adic hypergeometric sheaves introduced ... More

$\ell$-adic GKZ hypergeometric sheaf and exponential sumsAug 07 2012Apr 26 2016To a torus action on a complex vector space, Gelfand, Kapranov and Zelevinsky introduce a system of differential equations, called the GKZ hypergeometric system. Its solutions are GKZ hypergeometric functions. We study the $\ell$-adic counterpart of the ... More

Hydrodynamic Limit with Geometric Correction of Stationary Boltzmann EquationSep 13 2014Oct 16 2015We consider the hydrodynamic limit of a stationary Boltzmann equation in a unit plate with in-flow boundary. We prove the solution can be approximated in $L^{\infty}$ by the sum of interior solution which satisfies steady incompressible Navier-Stokes-Fourier ... More