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Kolmogorov's law of the iterated logarithm for noncommutative martingalesDec 06 2012Jan 20 2014We prove Kolmogorov's law of the iterated logarithm for noncommutative martingales. The commutative case was due to Stout. The key ingredient is an exponential inequality proved recently by Junge and the author.

Ultraproduct methods for mixed $q$-Gaussian algebrasMay 28 2015Dec 08 2016We provide a unified ultraproduct approach for constructing Wick words in mixed $q$-Gaussian algebras, which are generated by $s_j=a_j+a_j^*$, $j=1,\cdots,N$, where $a_ia^*_j - q_{ij}a^*_ja_i =\delta_{ij}$. Here we also allow equality in $-1\le q_{ij}=q_{ji}\le ... More

Phase transitions and elementary excitations in spin-1 Bose gases with Raman-induced spin-orbit couplingDec 13 2015Mar 30 2016We study the ground state phase diagram and the quantum phase transitions in spin-1 Bose gases with Raman induced spin-orbit coupling. In addition to the Bose-Einstein condensates with uniform density, three types of stripe condensation phases that simultaneously ... More

Landau's criterion for an anisotropic Bose-Einstein condensateJan 30 2017Mar 17 2017In this work, we discuss the Landau's criterion for anisotropic superfluidity. To this end, we consider a point-like impurity moving in a uniform Bose-Einstein condensate with either interparticle dipole-dipole interaction or Raman induced spin-orbit ... More

Noncommutative Bennett and Rosenthal inequalitiesNov 04 2011Dec 16 2013In this paper we extend the Bernstein, Prohorov and Bennett inequalities to the noncommutative setting. In addition we provide an improved version of the noncommutative Rosenthal inequality, essentially due to Nagaev, Pinelis and Pinelis, Utev for commutative ... More

Existence of two-step replica symmetry breaking for the spherical mixed p-spin glass at zero temperatureFeb 08 2018Oct 02 2018We provide the first examples of two-step replica symmetry breaking (2-RSB) models for the spherical mixed p-spin glass at zero temperature. Precisely, we show that for a certain class of mixtures, the Parisi measure at zero temperature is purely atomic ... More

Induced interaction in a spin-polarized Fermi gasJul 09 2010We study the effect of the induced interaction on the superfluidtransition temperature of a spin-polarized Fermi gas. In the BCS limit, the polarization is very small in the superfluid state, and the effect of the induced interaction is almost the same ... More

Collinear antiferromagnetic state in a two-dimensional Hubbard model at half fillingFeb 11 2010Jun 02 2010In a half-filled Hubbard model on a square lattice, the next-nearest-neighbor hopping causes spin frustration, and the collinear antiferromagnetic (CAF) state appears as the ground state with suitable parameters. We find that there is a metal-insulator ... More

Molecular Bose-Einstein condensation in a Bose gas with a wide Feshbach resonance at finite temperaturesFeb 08 2010Feb 21 2010Bose-Einstein condensation (BEC) of Feshbach molecules in a homogeneous Bose gas is studied at finite temperatures in a single-channel mean-field approach where the Hartree-Fock energy and pairing gap are determined self-consistently. In the molecular-BEC ... More

Recalculation of Pion Compton Scattering in Perturbative QCDFeb 24 2002Jul 09 2002We recalculated pion virtual Compton scattering in perturbative QCD in this paper. Our calculation avoids some deficiencies in existing literatures, and treats real Compton scattering as a limit case in which the mass of the virtual photon equals to zero. ... More

The induced interaction in a Fermi gas with a BEC-BCS crossoverMay 07 2009We study the effect of the induced interaction on the superfluid transition temperature of a Fermi gas with a BEC-BCS crossover. The Gorkov-Melik-Barkhudarov theory about the induced interaction is extended from the BCS side to the entire crossover, and ... More

Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossoverApr 17 2009The Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover is derived by the path-integral method. In addition to the standard Ginzburg-Landau equation, a second equation describing the total atom density is obtained. These two coupled ... More

Stability Condition of a Strongly Interacting Boson-Fermion Mixture across an Inter-Species Feshbach ResonanceJan 13 2011Apr 23 2011We study the properties of dilute bosons immersed in a single component Fermi sea across a broad boson-fermion Feshbach resonance. The stability of the mixture requires that the bare interaction between bosons exceeds a critical value, which is a universal ... More

Harmonic analysis approach to Gromov--Hausdorff convergence for noncommutative toriDec 08 2016Sep 11 2017We show that the rotation algebras are limit of matrix algebras in a very strong sense of convergence for algebras with additional Lipschitz structure. Our results generalize to higher dimensional noncommutative tori and operator valued coefficients. ... More

Multi-task Learning for Macromolecule Classification, Segmentation and Coarse Structural Recovery in Cryo-TomographyMay 16 2018Cellular Electron Cryo-Tomography (CECT) is a powerful 3D imaging tool for studying the native structure and organization of macromolecules inside single cells. For systematic recognition and recovery of macromolecular structures captured by CECT, methods ... More

Counting Process Based Dimension Reduction Methods for Censored OutcomesApr 17 2017Jun 08 2018We propose a class of dimension reduction methods for right censored survival data using a counting process representation of the failure process. Semiparametric estimating equations are constructed to estimate the dimension reduction subspace for the ... More

Fast Online EM for Big Topic ModelingOct 08 2012Dec 07 2015The expectation-maximization (EM) algorithm can compute the maximum-likelihood (ML) or maximum a posterior (MAP) point estimate of the mixture models or latent variable models such as latent Dirichlet allocation (LDA), which has been one of the most popular ... More

Hybrid Ant Colony Algorithm Clonal Selection in the Application of the Cloud's Resource SchedulingNov 10 2014In this paper, thinking over characteristics of ant colony optimization Algorithm, taking into account the characteristics of cloud computing, combined with clonal selection algorithm (CSA) global optimum advantage of the convergence of the clonal selection ... More

Influence of thermal and resonance neutron on fast neutron flux measurement by Pu-239 fission chamberMar 19 2014The Pu-239 fission chambers are widely used to measure fission spectrum neutron flux due to a flat response to fast neutrons. However, in the mean time the resonance and thermal neutrons can cause a significant influence on the measurement if they are ... More

Poincaré type inequalities for group measure spaces and related transportation cost inequalitiesJun 25 2013Nov 15 2013Let $G$ be a countable discrete group with an orthogonal representation $\alpha$ on a real Hilbert space $H$. We prove $L_p$ Poincar\'e inequalities for the group measure space $L_\infty(\Omega_H,\gamma)\rtimes G$, where both the group action and the ... More

Properties of Bose Gases with Raman-Induced Spin-Orbit CouplingDec 31 2012In this paper we investigate the properties of Bose gases with Raman-induced spin-orbit(SO) coupling. It is found that the SO coupling can greatly modify the single particle density-of-state, and thus lead to non-monotonic behavior of the condensate depletion, ... More

Feature Decomposition Based Saliency Detection in Electron Cryo-TomogramsJan 31 2018Electron Cryo-Tomography (ECT) allows 3D visualization of subcellular structures at the submolecular resolution in close to the native state. However, due to the high degree of structural complexity and imaging limits, the automatic segmentation of cellular ... More

Missing Data Reconstruction in Remote Sensing image with a Unified Spatial-Temporal-Spectral Deep Convolutional Neural NetworkFeb 23 2018Because of the internal malfunction of satellite sensors and poor atmospheric conditions such as thick cloud, the acquired remote sensing data often suffer from missing information, i.e., the data usability is greatly reduced. In this paper, a novel method ... More

Emitting electrons spectra and acceleration processes in the jet of Mrk 421: from low state to giant flare stateJan 28 2013We investigate the electron energy distributions (EEDs) and the acceleration processes in the jet of Mrk 421 through fitting the spectral energy distributions (SEDs) in different active states in the frame of a one-zone synchrotron self-Compton (SSC) ... More

Privacy Leakage in Smart Homes and Its Mitigation: IFTTT as a Case StudyFeb 08 2019Feb 14 2019The combination of smart home platforms and automation apps introduces much convenience to smart home users. However, this also brings the potential for privacy leakage. If a smart home platform is permitted to collect all the events of a user day and ... More

Study on contributions of hadronic loops to decays of $J/ψ\to$ vector $+$ pseudoscalar mesonsJun 19 2006Sep 22 2006In this work, we evaluate the contributions of the hadronic loops to the amplitudes of $J/\psi\to PV$ where $P$ and $V$ denote light pseudoscalar and vector mesons respectively. By fitting data of two well measured channels of $J/\psi\to PV$, we obtain ... More

Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentialsFeb 06 2015We are interested in the attractive Gross-Pitaevskii (GP) equation in $\R^2$, where the external potential $V(x)$ vanishes on $m$ disjoint bounded domains $\Omega_i\subset \R^2\ (i=1,2,\cdots,m)$ and $V(x)\to\infty$ as $|x|\to\infty$, that is, the union ... More

Collective excitation of a trapped Bose-Einstein condensate with spin-orbit couplingApr 05 2017We investigate the collective excitations of a Raman-induced spin-orbit coupled Bose-Einstein condensate confined in a quasi one-dimension harmonic trap using the Bogoliubov method. By tuning the Raman coupling strength, three phases of the system can ... More

Mixed $q$-Gaussian algebrasMay 28 2015We provide a unified approach for constructing Wick words in mixed $q$-Gaussian algebras, which are generated by $s_j=a_j+a_j^*$, $j=1,\cdots,N$, where $a_ia^*_j - q_{ij}a^*_ja_i =\delta_{ij}$. Here we also allow equality in $-1\le q_{ij}=q_{ji}\le 1$. ... More

Subgaussian 1-cocycles on discrete groupsNov 20 2013Jun 12 2015We prove the $L_p$ Poincar\'e inequalities with constant $C\sqrt{p}$ for $1$-cocycles on countable discrete groups under Bakry--Emery's $\Gamma_2$-criterion. These inequalities determine an analogue of subgaussian behavior for 1-cocycles. Our theorem ... More

Noncommutative martingale deviation and Poincaré type inequalities with applicationsNov 14 2012Dec 28 2013We prove a deviation inequality for noncommutative martingales by extending Oliveira's argument for random matrices. By integration we obtain a Burkholder type inequality with satisfactory constant. Using continuous time, we establish noncommutative Poincar\'e ... More

Equation of state and phase transition in spin-orbit-coupled Bose gases at finite temperature: A perturbation approachJul 03 2014Nov 13 2014We study two-component Bose gases with Raman induced spin-orbit coupling via a perturbation approach at finite temperature. For weak coupling, free energy is expanded in terms of Raman coupling strength up to the second order, where the coefficient (referred ... More

Ground-state phase diagram and critical temperature of two-component Bose gases with Rashba spin-orbit couplingApr 09 2013May 23 2013Ground-state phase diagram of two-component Bose gases with Rashba spin-orbit coupling is determined via a variational approach. A phase in which the fully polarized condensate occupies zero momentum is identified. This zero-momentum phase competes with ... More

$Λ_{c}^{+}(2940)$: A Possible Molecular State?Jun 01 2006Jun 13 2007A new baryonic state $\Lambda_{c}(2940)^{+}$ has recently been discovered by the Babar collaboration in the $D^{0}p$ channel. Later Belle collaboration also observed this state in the $\Sigma_c(2455)^{0,++} \pi^{\pm}\to \Lambda_{c}^{+}\pi^{+}\pi^{-}$ ... More

Existence of two-step replica symmetry breaking for the spherical mixed p-spin glass at zero temperatureFeb 08 2018We provide the first examples of two-step replica symmetry breaking (2-RSB) models for the spherical mixed p-spin glass at zero temperature. Precisely, we show that for a certain class of mixtures, the Parisi measure at zero temperature is purely atomic ... More

Comments on "Stack-based Algorithms for Pattern Matching on DAGs"Sep 01 2011Mar 29 2012The paper "Stack-based Algorithms for Pattern Matching on DAGs" generalizes the classical holistic twig join algorithms and proposes PathStackD, TwigStackD and DagStackD to respectively evaluate path, twig and DAG pattern queries on directed acyclic graphs. ... More

Superfluid Density of a Spin-orbit Coupled Bose GasMay 07 2016We discuss the superfluid properties of a Bose-Einstein condensed gas with spin-orbit coupling, recently realized in experiments. We find a finite normal fluid density $\rho_n$ at zero temperature which turns out to be a function of the Raman coupling. ... More

Effect of plasmonic near field on the emittance of plasmon-enhanced photocathodeJul 07 2016The introduction of the surface plasmon polarizations makes the emittance of the photocathode complicated. In this paper, the emittance of plasmon-enhanced photocathode is analyzed. It is first demonstrated that the plasmonic near field can increase the ... More

Reconstruction of the Real Quantum Channel via Convex OptimizationSep 12 2018Quantum process tomography is often used to completely characterize an unknown quantum process. However, it may lead to an unphysical process matrix, which will cause the loss of information respect to the tomography result. Convex optimization, widely ... More

X(1812) in Quarkonia-Glueball-Hybrid Mixing SchemeApr 17 2006Recently a $J^{PC}=0^{++}$ (X(1812)) state with a mass near the threshold of $\omega$ and $\phi$ has been observed by the BES collaboration in $J/\psi \to \gamma \omega \phi$ decay. It has been suggested that it is a $I^G = 0^+$ state. If it is true, ... More

A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravityApr 09 2014Aiming at a unified phase transition picture of the charged topological black hole in Ho\v{r}ava-Lifshitz gravity, we investigate this issue not only in canonical ensemble with the fixed charge case but also in grand-canonical ensemble with the fixed ... More

An application of free transport to mixed $q$-Gaussian algebrasJul 17 2015Nov 04 2015We consider the mixed $q$-Gaussian algebras introduced by Speicher which are generated by the variables $X_i=l_i+l_i^*,i=1,\ldots,N$, where $l_i^* l_j-q_{ij}l_j l_i^*=\delta_{i,j}$ and $-1<q_{ij}=q_{ji}<1$. Using the free monotone transport theorem of ... More

Free monotone transport for infinite variablesNov 19 2015We extend the free monotone transport theorem of Guionnet and Shlyakhtenko to the case of infinite variables. As a first application, we provide a criterion for when mixed $q$-Gaussian algebras are isomorphic to $L(\mathbb{F}_\infty)$; namely, when the ... More

Deterministic and Efficient Quantum Cryptography Based on Bell's TheoremJan 28 2005May 05 2006We propose a novel double-entanglement-based quantum cryptography protocol that is both efficient and deterministic. The proposal uses photon pairs with entanglement both in polarization and in time degrees of freedom; each measurement in which both of ... More

Free monotone transport for infinite variablesNov 19 2015Jan 26 2017We extend the free monotone transport theorem of Guionnet and Shlyakhtenko to the case of infinite variables. As a first application, we provide a criterion for when mixed $q$-Gaussian algebras are isomorphic to $L(\mathbb{F}_\infty)$; namely, when the ... More

Spin-Orbit Coupled Fermi Gases across a Feshbach ResonanceMay 11 2011May 28 2011In this letter we study both ground state properties and the superfluid transition temperature of a spin-1/2 Fermi gas across a Feshbach resonance with a synthetic spin-orbit coupling, using mean-field theory and exact solution of two-body problem. We ... More

Context-aware System Service Call-oriented Symbolic Execution of Android Framework with Application to Exploit GenerationNov 02 2016Android Framework is a layer of software that exists in every Android system managing resources of all Android apps. A vulnerability in Android Framework can lead to severe hacks, such as destroying user data and leaking private information. With tens ... More

Wireless Communications with Programmable Metasurface: New Paradigms, Opportunities, and Challenges on Transceiver DesignJul 03 2019Many emerging technologies, such as ultra-massive multiple-input multiple-output (UM-MIMO), terahertz (THz) communications are under active discussion as promising technologies to support the extremely high access rate and superior network capacity in ... More

Spin-Orbit Coupled Degenerate Fermi GasesApr 09 2012Spin-orbit coupling plays an increasingly important role in the modern condensed matter physics. For instance, it gives birth to topological insulators and topological superconductors. Quantum simulation of spin-orbit coupling using ultracold Fermi gases ... More

Band gap renormalization and work function tuning in MoSe2/hBN/Ru(0001) heterostructuresSep 06 2016Here we report the successful growth of MoSe2 on single layer hexagonal boron nitride (hBN) on Ru(0001) substrate by using molecular beam epitaxy. We investigated the electronic structures of MoSe2 using scanning tunneling microscopy and spectroscopy. ... More

Countermeasures Against L0 Adversarial Examples Using Image Processing and Siamese NetworksDec 23 2018Despite the great achievements made by neural networks on tasks such as image classification, they are brittle and vulnerable to adversarial examples (AEs). By adding adversarial noise to input images, adversarial examples can be crafted to mislead neural ... More

Adding Logical Operators to Tree Pattern Queries on Graph-Structured DataSep 20 2011Apr 16 2012As data are increasingly modeled as graphs for expressing complex relationships, the tree pattern query on graph-structured data becomes an important type of queries in real-world applications. Most practical query languages, such as XQuery and SPARQL, ... More

Dirac Fermions in Antiferromagnetic FeSn Kagome Lattices with Combined Space Inversion and Time Reversal SymmetryJun 13 2019Symmetry principles play a critical role in formulating the fundamental laws of nature$^{1}$, with a large number of symmetry-protected topological states identified in recent studies of quantum materials$^{2,3}$. As compelling examples, massless Dirac ... More

Integrated Server for Measurement-Device-Independent Quantum Key Distribution NetworkAug 26 2018Quantum key distribution (QKD), harnessing quantum physics and optoelectronics, may promise unconditionally secure information exchange in theory. Recently, theoretical and experimental advances in measurement-device-independent (MDI-) QKD have successfully ... More

Vector Vortex Beam Emitter Embedded in a Photonic ChipApr 16 2019Vector vortex beam simultaneously carrying spin and orbital angular momentum of light promises additional degrees of freedom for modern optics and emerging resources for both classical and quantum information technologies. The inherently infinite dimensions ... More

Eigenvalue estimates for submanifolds in Hadamard manifolds and product manifolds $N\times\mathbb{R}$May 24 2018In this paper, we investigate submanifolds with locally bounded mean curvature in Hadamard manifolds, product manifolds $N\times\mathbb{R}$, submanifolds with bounded $\varphi$-mean curvature in the hyperbolic space, and successfully give lower bounds ... More

Robust and Pristine Top ological Dirac Semimetal Phase in Pressured Two-Dimensional Black PhosphorousFeb 22 2017Sep 12 2017Very recently, in spite of various efforts in searching for two dimensional topological Dirac semimetals (2D TDSMs) in phosphorene, there remains a lack of experimentally efficient way to activate such phase transition and the underlying mechanism for ... More

Harmonic analysis approach to Gromov--Hausdorff convergence for noncommutative toriDec 08 2016We show that the rotation algebras are limit of matrix algebras in a very strong sense of convergence for algebras with additional Lipschitz structure. Our results generalize to higher dimensional noncommutative tori and operator valued coefficients. ... More

The SK model is Full-step Replica Symmetry Breaking at zero temperatureMar 20 2017We prove that the Parisi measure of the mixed p-spin model at zero temperature has infinitely many points in its support. This establishes Parisi's prediction that the functional order parameter of the Sherrington-Kirkpatrick model is not a step function ... More

Formation of Stoichiometric CsF$_n$ CompoundsAug 24 2014Alkali halides $MX$, have been viewed as typical ionic compounds, characterized by 1:1 ratio necessary for charge balance between M$^+$ and X$^-$. It was proposed that group I elements like Cs can be oxidized further under high pressure. Here we perform ... More

Stein Variational Message Passing for Continuous Graphical ModelsNov 20 2017Jun 07 2018We propose a novel distributed inference algorithm for continuous graphical models, by extending Stein variational gradient descent (SVGD) to leverage the Markov dependency structure of the distribution of interest. Our approach combines SVGD with a set ... More

Estimating Mass of Sigma-Meson and Study on Application of the Linear Sigma-ModelFeb 10 2004Whether the $\sigma-meson$ ($f_0(600)$) exists as a real particle is a long-standing problem in both particle physics and nuclear physics. In this work, we analyze the deuteron binding energy in the linear $\sigma$ model and by fitting the data, we are ... More

A Cross-Architecture Instruction Embedding Model for Natural Language Processing-Inspired Binary Code AnalysisDec 23 2018Given a closed-source program, such as most of proprietary software and viruses, binary code analysis is indispensable for many tasks, such as code plagiarism detection and malware analysis. Today, source code is very often compiled for various architectures, ... More

Systematic search for low-enthalpy sp3 carbon using evolutionary metadynamicsMar 04 2012May 21 2012We present a systematic search for low-energy metastable superhard carbon allotropes by using the recently developed evolutionary metadynamics technique. It is known that cold compression of graphite produces an allotrope at 15-20 GPa. Here we look for ... More

A hybrid FD-FV method for first-order hyperbolic conservation laws on Cartesian grids: The smooth problem caseDec 21 2012Nov 28 2016We present a class of hybrid FD-FV (finite difference and finite volume) methods for solving general hyperbolic conservation laws written in first-order form. The presentation focuses on one- and two-dimensional Cartesian grids; however, the generalization ... More

Cylindrically Symmetric Ground State Solutions for Curl-Curl Equations with Critical ExponentSep 30 2016Dec 14 2017We study the following nonlinear critical curl-curl equation \begin{equation}\label{eq0.1}\nabla\times \nabla\times U +V(x)U=|U|^{p-2}U+ |U|^4U,\quad x\in \mathbb{R}^3,\end{equation} where $V(x)=V(r, x_3)$ with $r=\sqrt{x_1^2+x_2^2}$ is 1-periodic in ... More

Residual Belief Propagation for Topic ModelingApr 30 2012Fast convergence speed is a desired property for training latent Dirichlet allocation (LDA), especially in online and parallel topic modeling for massive data sets. This paper presents a novel residual belief propagation (RBP) algorithm to accelerate ... More

A New Approach to Speeding Up Topic ModelingApr 01 2012Apr 08 2014Latent Dirichlet allocation (LDA) is a widely-used probabilistic topic modeling paradigm, and recently finds many applications in computer vision and computational biology. In this paper, we propose a fast and accurate batch algorithm, active belief propagation ... More

Exploiting the Inherent Limitation of L0 Adversarial ExamplesDec 23 2018Jul 31 2019Despite the great achievements made by neural networks on tasks such as image classification, they are brittle and vulnerable to adversarial example (AE) attacks, which are crafted by adding human-imperceptible perturbations to inputs in order that a ... More

AEPecker: L0 Adversarial Examples are not Strong EnoughDec 23 2018Mar 29 2019Despite the great achievements made by neural networks on tasks such as image classification, they are brittle and vulnerable to adversarial examples (AEs). By adding adversarial noise to input images, adversarial examples can be crafted to mislead neural ... More

Towards Big Topic ModelingNov 17 2013To solve the big topic modeling problem, we need to reduce both time and space complexities of batch latent Dirichlet allocation (LDA) algorithms. Although parallel LDA algorithms on the multi-processor architecture have low time and space complexities, ... More

Surrogate-Based Bayesian Inverse Modeling of the Hydrological System: An Adaptive Approach Considering Surrogate Approximation ErroJul 10 2018Jan 07 2019Bayesian inverse modeling is important for a better understanding of hydrological processes. However, this approach can be computationally demanding as it usually requires a large number of model evaluations. To address this issue, one can take advantage ... More

Puzzles in charmonium decaysDec 13 2010The open charm effects via intermediate hadron loop transitions seem to play a crucial role in the understanding of several existing "puzzles" in charmonium exclusive decays, such as the $\psi(3770)$ non-$D\bar{D}$ decays, and "$\rho\pi$ puzzle" etc. ... More

χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structuresMay 01 2007Oct 31 2007In light of the recent data from BES collaboration for $\chi_{c0}\to VV$, $PP$ and $SS$, and from CLEO-c for $\eta\eta$, $\eta^\prime\eta^\prime$ and $\eta\eta^\prime$, we present a detailed analysis of the decays of heavy quarkonia into light meson pairs ... More

A coherent study of $χ_{c0,2}\to VV$, $PP$ and $SS$Aug 07 2005Sep 21 2005We investigate the decays of $\chi_{c0,2}$ into vector meson pairs ($VV$), pseudoscalar pairs ($PP$), and scalar pairs ($SS$) in a general factorization scheme. The purpose is to clarify the role played by the OZI-rule violations and SU(3) flavour breakings ... More

Formation of ferromagnetic bulk amorphous Fe40Ni40P14B6 alloysNov 27 2006Ferromagnetic bulk amorphous Fe40Ni40P14B6 alloy rods with a diameter of 1.2 mm can be prepared by means of a rapid quenching technique. If a fluxing technique is also used, amorphous rods with a diameter as large as 2.5 mm can be synthesized. The critical ... More

Phase Transition for the Contact Process in a Random Environment on Zd*Z+Feb 27 2018Nov 27 2018We review the results in Chen & Yao(2009,2012) which concern the contact process in a static random environment on the half space Z^d*Z^+ and make some addition to them. Furthermore, we explain why our methods cannot apply to the whole space case and ... More

On keen weakly reducbile Heegaard splittingsMar 06 2017A Heegaard splitting which admits a unique pair of disjoint compression disks on distinct sides is said to be keen weakly reducible. This paper provides an construction of keen weakly reducible Heegaard splittings of arbitrary genus except 2. Furthermore, ... More

Preconditioning for Accurate Solutions of Linear Systems and Eigenvalue ProblemsMay 11 2017This paper develops the preconditioning technique as a method to address the accuracy issue caused by ill-conditioning. Given a preconditioner $M$ for an ill-conditioned linear system $Ax=b$, we show that, if the inverse of the preconditioner $M^{-1}$ ... More

Accurate Inverses for Computing Eigenvalues of Extremely Ill-conditioned Matrices and Differential OperatorsDec 16 2015May 15 2017This paper is concerned with computations of a few smaller eigenvalues (in absolute value) of a large extremely ill-conditioned matrix. It is shown that smaller eigenvalues can be accurately computed for a diagonally dominant matrix or a product of diagonally ... More

Compaction of bulk amorphous Fe40Ni40P14B6 alloysDec 26 2006Feb 27 2007The consolidations of two bulk amorphous Fe40Ni40P14B6 alloy discs are performed via hot pressing for a short time in its supercooled liquid region under a pressure of ~1.2 GPa. When the consolidated temperature Ts is lower, the conjunction of two bulk ... More

Thermodynamics of the half-filled Kondo lattice model around the atomic limitJul 22 2002We present a perturbation theory for studying thermodynamic properties of the Kondo spin liquid phase of the half-filled Kondo lattice model. The grand partition function is derived to calculate chemical potential, spin and charge susceptibilities and ... More

The Grad-Shafranov Reconstruction of Toroidal Magnetic Flux Ropes: Method Development and Benchmark StudiesJun 08 2017We develop an approach of Grad-Shafranov (GS) reconstruction for toroidal structures in space plasmas, based on in-situ spacecraft measurements. The underlying theory is the GS equation that describes two-dimensional magnetohydrostatic equilibrium as ... More

Affine quantum Schur algebras at roots of unityMay 14 2012Aug 06 2012We will classify finite dimensional irreducible modules for affine quantum Schur algebras at roots of unity and generalize \cite[(6.5f) and (6.5g)]{Gr80} to the affine case in this paper.

The w-index: A significant improvement of the h-indexMay 30 2008Jun 13 2008I propose a new measure, the w-index, as a particularly simple and useful way to assess the integrated impact of a researcher's work, especially his or her excellent papers. The w-index can be defined as follows: If w of a researcher's papers have at ... More

Gaussian Approximations for Maxima of Random Vectors under $(2+ι)$-th MomentsMay 27 2019We derive a Gaussian approximation result for the maximum of a sum of random vectors under $(2+\iota)$-th moments. Our main theorem is abstract and nonasymptotic, and can be applied to a variety of statistical learning problems. The proof uses the Lindeberg ... More

Convergence rates and $W^{1,p}$ estimates in homogenization theory of Stokes systems in Lipschitz domainsSep 01 2016Concerned with the Stokes systems with rapidly oscillating periodic coefficients, we mainly extend the recent works in \cite{SGZWS,G} to those in term of Lipschitz domains. The arguments employed here are quite different from theirs, and the basic idea ... More

Second-order Stable Finite Difference Schemes for the Time-fractional Diffusion-wave EquationJul 20 2014Nov 08 2014We propose two stable and one conditionally stable finite difference schemes of second-order in both time and space for the time-fractional diffusion-wave equation. In the first scheme, we apply the fractional trapezoidal rule in time and the central ... More

Equivariant Eilenberg-Mac Lane spectra in cyclic $p$-groupsOct 04 2017Jul 18 2018In this paper we compute $RO(G)$-graded homotopy Mackey functors of $H\underline{\mathbb{Z}}$, the Eilenberg-Mac Lane spectrum of the constant Mackey functor of integers for cyclic p-groups and give a complete computation for $G = C_{p^2}$ . We also discuss ... More

Computing points on modular curves over finite fieldsMay 20 2013In this paper, we present a probabilistic algorithm to compute the number of $\mathbb{F}_p$-points of modular curve $X_1(n)$. Under the Generalized Riemann Hypothesis(GRH), the algorithm takes $\textrm{O}(n^{56+\delta+\epsilon}\log^{9+\epsilon} p)$ bit ... More

$μ$- Integrable Functions and Weak Convergence of Finite MeasuresSep 14 2017Nov 16 2018This paper deals with functions that defined in metric spaces and valued in complete paranormed vector spaces or valued in Banach spaces, and obtains some necessary and sufficient conditions for weak convergence of finite measures.

Analytic Center Cutting Plane Methods for Variational Inequalities over Convex BodiesJun 12 2017Oct 31 2017An analytic center cutting plane method is an iterative algorithm based on the computation of analytic centers. In this paper, we propose some analytic center cutting plane methods for solving quasimonotone or pseudomonotone variational inequalities whose ... More

A general approach to enhance slope limiters on non-uniform rectilinear gridsJan 06 2013May 20 2014Most slope limiter functions in high-resolution finite volume methods to solve hyperbolic conservation laws are designed assuming one-dimensional uniform grids, and they are also used to compute slope limiters in computations on non-uniform rectilinear ... More

How Vertex reinforced jump process arises naturallyNov 11 2013Nov 05 2015We prove that the only nearest neighbor jump process with local dependence on the occupation times satisfying the partial exchangeability property is the vertex reinforced jump process, under some technical conditions. This result gives a counterpart ... More

A Russo Seymour Welsh Theorem for critical site percolation on \(\mathbb{Z}^2\)Sep 09 2013The Russo-Seymour-Welsh Theorem for Z^2 bond or T (triangular lattice) site percolation states that at criticality, for all fixed real {\lambda}, the probability of the existence of a horizontal occupied crossing of each rectangle with size n*{\lambda}n ... More

Cross-App Interference Threats in Smart Homes: Categorization, Detection and HandlingAug 06 2018Oct 10 2018A number of Internet of Things (IoTs) platforms have emerged to enable various IoT apps developed by third-party developers to automate smart homes. Prior research mostly concerns the overprivilege problem in the permission model. Our work, however, reveals ... More

e-SAFE: Secure, Efficient and Forensics-Enabled Access to Implantable Medical DevicesApr 06 2018To facilitate monitoring and management, modern Implantable Medical Devices (IMDs) are often equipped with wireless capabilities, which raise the risk of malicious access to IMDs. Although schemes are proposed to secure the IMD access, some issues are ... More

Experimental Quantum Digital Signature over 102 kmAug 03 2016Quantum digital signature (QDS) is an approach to guarantee the nonrepudiation, unforgeability and transferability of a signature with the information-theoretical security. All previous experimental realizations of QDS relied on an unrealistic assumption ... More

Field-free Three-Dimensional Orientation of Asymmetric-Top MoleculesMar 21 2018Alignment and orientation of molecules by intense, ultrashort laser fields are crucial for a variety of applications in physics and chemistry. These include control of high harmonics generation, molecular orbitals tomography, control of molecular photoionization ... More

Teleportation-based realization of an optical quantum two-qubit entangling gateNov 02 2010In recent years, there has been heightened interest in quantum teleportation, which allows for the transfer of unknown quantum states over arbitrary distances. Quantum teleportation not only serves as an essential ingredient in long-distance quantum communication, ... More