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Jantzen filtration and strong linkage principle for modular Lie superalgebrasOct 16 2017In this paper, we introduce super Weyl groups, their distinguished elements and properties for basic classical Lie superalgebras. Then we formulate Jantzen filtration for baby Verma modules in graded restricted module categories of basic classical Lie ... More

Learning a Rotation Invariant Detector with Rotatable Bounding BoxNov 26 2017Detection of arbitrarily rotated objects is a challenging task due to the difficulties of locating the multi-angle objects and separating them effectively from the background. The existing methods are not robust to angle varies of the objects because ... More

Optimal Load-Balancing for High-Density Wireless Networks with Flow-Level DynamicsMay 01 2018We consider the load-balancing design for forwarding incoming flows to access points (APs) in high-density wireless networks with both channel fading and flow-level dynamics, where each incoming flow has a certain amount of service demand and leaves the ... More

Non-minimal Higgs-gravity coupling and naturalness at the LHC and beyondJan 19 2019The non-minimal Higgs-gravity coupling, $\xi H^\dagger H R$, can play an interesting role in particle physics. We utilize the available LHC Run-2 data to obtain the bound on the coupling $\xi$ and discuss the prospects of constraining it at CEPC, FCC-ee ... 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

Local Distribution in Neighborhood for ClassificationDec 07 2018The k-nearest-neighbor method performs classification tasks for a query sample based on the information contained in its neighborhood. Previous studies into the k-nearest-neighbor algorithm usually achieved the decision value for a class by combining ... More

Microstructures and Dynamics of Tetraalkylphosphonium Chloride Ionic LiquidsSep 04 2017Atomistic simulations have been performed to investigate the effect of aliphatic chain length in tetraalkylphosphonium cations on liquid morphologies, microscopic ionic structures and dynamical properties of tetraalkylphosphonium chloride ionic liquids. ... More

Sharp one component regularity for Navier-StokesAug 14 2017We consider the conditional regularity of mild solution $v$ to the incompressible Navier-Stokes equations in three dimensions. Let $e \in \mathbb{S}^2$ and $0 < T^\ast < \infty$. J. Chemin and P. Zhang \cite{CP} proved the regularity of $v$ on $(0,T^\ast]$ ... More

Aspiration dynamics generate robust predictions in structured populationsSep 30 2018Evolutionary game dynamics in structured populations are strongly affected by updating rules. Previous studies usually focus on imitation-based rules, which rely on payoff information of social peers. Recent behavioral experiments suggest that whether ... 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

Simple property of heterogeneous aspiration dynamics: Beyond weak selectionSep 06 2018Nov 13 2018How individuals adapt their behavior in cultural evolution remains elusive. Theoretical studies have shown that the update rules chosen to model individual decision making can dramatically modify the evolutionary outcome of the population as a whole. ... More

Exponential Thermal Tensor Network Approach for Quantum Lattice ModelsDec 30 2017Oct 05 2018We speed up thermal simulations of quantum many-body systems in both one- (1D) and two-dimensional (2D) models in an exponential way by iteratively projecting the thermal density matrix $\hat\rho=e^{-\beta \hat{H}}$ onto itself. We refer to this scheme ... 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

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

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

Single-photon-induced two qubits excitation without breaking parity symmetryJan 15 2018We investigate theoretically the model of two \qubits" system (one qubit having an auxiliary level) interacting with a single-mode resonator in the ultrastrong coupling regime. We show that a single photon could simultaneously excite two qubits without ... 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

A further study of $t_{\rm burst}$ of GRBs: rest frame properties, external plateau contributions and multiple parameter analysisJul 05 2017[Zhang 2014] propose to redefine the true GRB central engine activity duration, $t_{\rm burst}$, by considering the contributions from the prompt $\gamma$-ray emission, X-ray flare and internal plateau features. With a comprehensive study on a large sample ... More

Oscillation in microRNA Feedback LoopApr 22 2013Dec 16 2013The dynamic behaviors of microRNA and mRNA under external stress are studied with biological experiments and mathematics models. In this study, we developed a mathematic model to describe the biological phenomenon and for the first time reported that, ... More

An efficiently and tunable switch between slow- and fast-light in double mode with an optomechanical systemJun 30 2016We study the dynamics of a driven optomechanical cavity coupled to a charged nanomechanical resonator via Coulomb interaction. We find the tunable switch between slow-and fast- light in double-mode can be observed from the output field by adjusting the ... 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

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

Two Temperature Scales in the Triangular Lattice Heisenberg AntiferromagnetNov 04 2018The anomalous thermodynamic properties of the paradigmatic frustrated spin-1/2 triangular lattice Heisenberg antiferromagnet (TLH) has remained an open topic of research over decades, both experimentally and theoretically. Here we further the theoretical ... More

Weak metal-metal transition in the vanadium oxytelluride Rb$_{1-δ}$V$_2$Te$_2$OMar 05 2018Aug 17 2018We report the synthesis, crystal structure, physical properties, and first-principles calculations of a vanadium-based oxytelluride Rb$_{1-\delta}$V$_2$Te$_2$O ($\delta\approx0.2$). The crystal structure bears two-dimensional V$_2$O square nets sandwiched ... More

Category decoding of visual stimuli from human brain activity using a bidirectional recurrent neural network to simulate bidirectional information flows in human visual corticesMar 19 2019Recently, visual encoding and decoding based on functional magnetic resonance imaging (fMRI) have realized many achievements with the rapid development of deep network computation. Despite the hierarchically similar representations of deep network and ... 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

Top quark decays with flavor violation in the B-LSSMJun 05 2018The decays of top quark $t\rightarrow c\gamma,\;t\rightarrow cg,\;t\rightarrow cZ,\;t\rightarrow ch$ are extremely rare processes in the standard model (SM). The predictions on the corresponding branching ratios in the SM are too small to be detected ... More

Controllable nonlinearity in a dual-coupling optomechanical system under a weak-coupling regimeMar 24 2018Strong quantum nonlinearity gives rise to many interesting quantum effects and has wide applications in quantum physics. Herewe investigate the quantum nonlinear effect of an optomechanical system (OMS) consisting of both linear and quadratic coupling. ... 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

Soliton with a Pion Field in the Global Color Symmetry ModelFeb 12 2006We calculate the property of the global color symmetry model soliton with the pion field being included explicitly. The calculated results indicate that the pion field provides a strong attraction so that the eigen-energy of a quark and the mass of a ... More

3D Printing of Flexible Room-Temperature Liquid Metal BatteryDec 17 2017The entirely soft and transformable room-temperature liquid metal battery based on 3D hybrid printing was proposed and experimentally demonstrated. Liquid metal gallium and conductive gel were employed as the negative and positive electrode material, ... More

A unified image reconstruction framework for quantitative dual- and triple-energy CT imaging of material compositionsMar 15 2018Many clinical applications depend critically on the accurate differentiation and classification of different types of materials in patient anatomy. This work introduces a unified framework for accurate nonlinear material decomposition and applies it, ... More

A comprehensive statistical study on gamma-ray burstsFeb 14 2019In order to obtain an overview of the gamma-ray bursts (GRBs), we need a full sample. In this paper, we collected 6289 GRBs (from GRB 910421 to GRB 160509A) from the literature, including prompt emission, afterglow and host galaxy properties. We hope ... More

Testing the Einstein's equivalence principle with polarized gamma-ray burstsJun 03 2017The Einstein's equivalence principle can be tested by using parameterized post-Newtonian parameters, of which the parameter $\gamma$ has been constrained by comparing the arrival times of photons with different energies. It has been constrained by a variety ... More

Accurate reconstruction of image stimuli from human fMRI based on the decoding model with capsule network architectureJan 02 2018In neuroscience, all kinds of computation models were designed to answer the open question of how sensory stimuli are encoded by neurons and conversely, how sensory stimuli can be decoded from neuronal activities. Especially, functional Magnetic Resonance ... More

Learning Acoustic Word Embeddings with Temporal Context for Query-by-Example Speech SearchJun 10 2018Jun 17 2018We propose to learn acoustic word embeddings with temporal context for query-by-example (QbE) speech search. The temporal context includes the leading and trailing word sequences of a word. We assume that there exist spoken word pairs in the training ... More

Robustness of Maximum Correntropy Estimation Against Large OutliersMar 23 2017Nov 23 2017The maximum correntropy criterion (MCC) has recently been successfully applied in robust regression, classification and adaptive filtering, where the correntropy is maximized instead of minimizing the well-known mean square error (MSE) to improve the ... 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

Improved Decoding of Staircase Codes: The Soft-aided Bit-marking (SABM) AlgorithmFeb 04 2019Staircase codes (SCCs) are typically decoded using iterative bounded-distance decoding (BDD) and hard decisions. In this paper, a novel decoding algorithm is proposed, which partially uses soft information from the channel. The proposed algorithm is based ... More

Decoding Staircase Codes with Marked BitsNov 21 2018Staircase codes (SCCs) are typically decoded using iterative bounded-distance decoding (BDD) and hard decisions. In this paper, a novel decoding algorithm is proposed, which partially uses soft information from the channel. The proposed algorithm is based ... More

Quantifying the influence of conformational uncertainty in biomolecular solvationAug 24 2014Aug 31 2015Biomolecules exhibit conformational fluctuations near equilibrium states, inducing uncertainty in various biological properties in a dynamic way. We have developed a general method to quantify the uncertainty of target properties induced by conformational ... More

Effect of coherence of nonthermal reservoirs on heat transport in a microscopic collision modelFeb 13 2018We investigate the heat transport between two nonthermal reservoirs based on a microscopic collision model. We consider a bipartite system consisting of two identical subsystems, and each subsystem interacts with its own local reservoir, which consists ... 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 Sinogram Inpainting Method based on Generative Adversarial Network for Limited-angle Computed TomographyMar 10 2019Limited-angle computed tomography (CT) image reconstruction is a challenging reconstruction problem in the fields of CT. With the development of deep learning, the generative adversarial network (GAN) perform well in image restoration by approximating ... More

Imaging the indirect dissociation dynamics of temporary negative ion: N2O- -> N2 + O-Oct 08 2012We reported an imaging study of the dissociation dynamics of temporary negative ion N2O- formed in the low-energy electron attachment, e- + N2O -> N2O- -> N2 + O-. With the help of ab initio molecular dynamics calculations, the evolution of momentum distributions ... 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

Superconductivity in LaPd2Bi2 with CaBe2Ge2-type structureSep 13 2018Here we report the synthesis and superconductivity of a novel ternary compound LaPd2Bi2. Shiny plate-like single crystals of LaPd2Bi2 were first synthesized by high-temperature solution method with PdBi flux. X-ray diffraction analysis indicates that ... More

Superconductivity at 10.4 K in a novel quasi-one-dimensional ternary molybdenum pnictide K2Mo3As3May 14 2018Here we report the discovery of the first ternary molybdenum pnictide based superconductor K2Mo3As3. Polycrystalline samples were synthesized by the conventional solid state reaction method. X-ray diffraction analysis reveals a quasi-one-dimensional hexagonal ... 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

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

Pressure-induced superconductivity in palladium sulfideJan 19 2018An extended study on PdS is carried out with the measurements of the resistivity, Hall coefficient, Raman scattering, and X-ray diffraction at high pressures up to 42.3 GPa. With increasing pressure, superconductivity is observed accompanying with a structural ... 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

Tunable multi-color coherent light generation in single MgO: PPLN bulk crystalJan 21 2018We report a theoretical design analysis of domain-engineered periodically poled lithium niobate (PPLN) for wavelength conversion of near-infrared sources to generate coherent light in the visible spectral range. Our analysis on the spectral outputs show ... More

Neutrino masses in the minimal gauged $(B-L)$ supersymmetryMar 13 2018We present the radiative corrections to neutrino masses in a minimal supersymmetric extension of the standard model with local $U(1)_{B-L}$ symmetry. At tree level, three tiny active neutrinos and two nearly massless sterile neutrinos can be obtained ... More

Determine the Lorentz factor and the viewing angle of GRB 170817AOct 20 2017Dec 13 2017GRB 170817A is a weak short gamma-ray burst (GRB) accompanied by the gravitational wave (GW) event GW170817. It is believed, that an off beaming relativistic jet, produces this weak GRB. Here we use the $E_{\rm p,i}- E_{\rm iso}$ and $\Gamma - E_{\rm ... 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

Two loop electroweak corrections to $\bar B\rightarrow X_sγ$ and $B_s^0\rightarrow μ^+μ^-$ in the B-LSSMMar 27 2018Sep 07 2018The rare decays $\bar B\rightarrow X_s\gamma$ and $B_s^0\rightarrow \mu^+\mu^-$ are important to research new physics beyond standard model. In this work, we investigate two loop electroweak corrections to $\bar B\rightarrow X_s\gamma$ and $B_s^0\rightarrow ... More

Lepton-flavor violation and two loop electroweak corrections to $(g-2)_μ$ in the B-L symmetry SSMDec 07 2018Jan 04 2019Charged lepton flavor violating processes are forbidden in the standard model (SM), hence the observation of charged lepton flavor transitions would represent a clear signal of new physics beyond the standard Model. In this work, we investigate some lepton ... More

Experimental observation of anisotropic Adler-Bell-Jackiw anomaly in type-II Weyl semimetal WTe$_{1.98}$ crystals at the quasi-classical regimeAug 18 2016Dec 23 2016The asymmetric electron dispersion in type-II Weyl semimetal theoretically hosts anisotropic transport properties. Here we observe the significant anisotropic Adler-Bell-Jackiw (ABJ) anomaly in the Fermi-level delicately adjusted WTe$_{1.98}$ crystals. ... 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

Hadronization from color interactionsMar 03 2019A quark coalescence model is presented based on semi-relativistic molecular dynamics with color interactions among quarks taken into account and applied to $pp$ collisions to study the effects of this model. A phenomenological potential with two tunable ... 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

Variability of the giant X-ray bump in GRB 121027A and possible originApr 05 2014The particular giant X-ray bump of GRB 121027A triggered by \emph{Swift} is quite different from the typical X-ray flares in gamma-ray bursts. There exhibit four parts of the observed structural variabilities in the rise and decay phase of the bump. Considering ... 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

Existence of solutions to fractional differential equations with three-point boundary conditions at resonance with general conditionsMar 09 2017May 21 2017This paper presents a new technique to investigate the existence of solutions to fractional three-point boundary value problems at resonance in a Hilbert space. Based on the proposed method, the restricted conditions $A^2\xi^{2\alpha-2}=A\xi^{\alpha-1}$ ... More

Rank-preserving module mapsFeb 05 2007In this paper, we characterize rank one preserving module maps on a Hilbert $C^\ast-$module and study its applications on free probability theory.

Kahler-Ricci flow on blowups along submanifoldsSep 11 2018In this short note, we study the behavior of Kaher-Ricci flow on Kahler manifolds which contract divisors to smooth submanifolds. We show that the Kahler potentials are Holder continuous and the flow converges sequentially in Gromov-Hausdorff topology ... 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

Universal Knowledge Discovery from Big Data: Towards a Paradigm Shift from 'Knowledge Discovery' to 'Wisdom Discovery'Mar 28 2014Oct 28 2014Many people hold a vision that big data will provide big insights and have a big impact in the future, and big-data-assisted scientific discovery is seen as an emerging and promising scientific paradigm. However, how to turn big data into deep insights ... More

Nonhomogeneous Wavelet Systems in High DimensionsFeb 11 2010It is of interest to study a wavelet system with a minimum number of generators. It has been showed by X. Dai, D. R. Larson, and D. M. Speegle in [11] that for any $d\times d$ real-valued expansive matrix M, a homogeneous orthonormal M-wavelet basis can ... 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 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 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

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

Depth $0$ Nonsingular Morse Smale flows on $S^3$Nov 26 2013Apr 07 2014In this paper, we first develope the concept of Lyapunov graph to weighted Lyapunov graph (abbreviated as WLG) for nonsingular Morse-Smale flows (abbreviated as NMS flows) on $S^3$. WLG is quite sensitive to NMS flows on $S^3$. For instance, WLG detect ... More

Comment: Monitoring Networked Applications With Incremental Quantile EstimationAug 02 2007Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Partial Sublinear Time Approximation and Inapproximation for Maximum CoverageApr 05 2016Jul 20 2016We develop a randomized approximation algorithm for the classical maximum coverage problem, which given a list of sets $A_1,A_2,\cdots, A_m$ and integer parameter $k$, select $k$ sets $A_{i_1}, A_{i_2},\cdots, A_{i_k}$ for maximum union $A_{i_1}\cup A_{i_2}\cup\cdots\cup ... More

The Self-dual String Soliton in AdS_4\times S^7 spacetimeOct 13 2007Jan 15 2008We construct self-dual string soliton solutions in $AdS_4\times S^7$ spacetime, starting from the covariant equations of motion of M5-brane. We study the properties of the solutions and find that their action are linearized, indicating the BPS nature ... More

Applications of BGP-reflection functors: isomorphisms of cluster algebrasNov 15 2005Jun 19 2006Given a symmetrizable generalized Cartan matrix $A$, for any index $k$, one can define an automorphism associated with $A,$ of the field $\mathbf{Q}(u_1, >..., u_n)$ of rational functions of $n$ independent indeterminates $u_1,..., u_n.$ It is an isomorphism ... More

Generalized cluster complexes via quiver representationsJul 06 2006May 23 2007We give a quiver representation theoretic interpretation of generalized cluster complexes defined by Fomin and Reading. By using $d-$cluster categories which are defined by Keller as triangulated orbit categories of (bounded) derived categories of representations ... More

Equivalences between cluster categoriesNov 15 2005Jun 19 2006Tilting theory in cluster categories of hereditary algebras has been developed in [BMRRT] and [BMR]. These results are generalized to cluster categories of hereditary abelian categories. Furthermore, for any tilting object $T$ in a hereditary abelian ... More

BGP-reflection functors and cluster combinatoricsNov 15 2005Jul 14 2006We define Bernstein-Gelfand-Ponomarev reflection functors in the cluster categories of hereditary algebras. They are triangle equivalences which provide a natural quiver realization of the "truncated simple reflections" on the set of almost positive roots ... More

On the Well-posedness of a Generalized Moment Problem and Its Numerical SolutionFeb 26 2018We show that the unique solution to a parametric version of the generalized moment problem depends continuously on the prior function, and thus the problem is well-posed in the sense of Hadamard. Based on this result, the problem is reparametrized via ... 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

DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systemsSep 22 2010The DGMRES method for solving Drazin-inverse solution of singular linear systems is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates. We show that adding some eigenvectors to the subspace can ... More

Minimum Entropy Aproach to Word Segmentation ProblemsAug 29 2000Given a sequence composed of a limit number of characters, we try to "read" it as a "text". This involves to segment the sequence into "words". The difficulty is to distinguish good segmentation from enormous number of random ones.Aiming at revealing ... 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

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.

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

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.

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

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

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

Homogeneous Wavelets and Framelets with the Refinable StructureJul 05 2017Homogeneous wavelets and framelets have been extensively investigated in the classical theory of wavelets and they are often constructed from refinable functions via the multiresolution analysis. On the other hand, nonhomogeneous wavelets and framelets ... More

The Neumann problem for a class of fully nonlinear elliptic partial differential equationsMar 11 2019In this paper, we establish a global $C^2$ estimates to the Neumann problem for a class of fullly nonlinear elliptic equations. By the method of continuity, we establish the existence theorem of $k$-admissible solutions of the Neumann problems.