Results for "Chen Hu"

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Nonequilibrium Phase Transitions of Vortex Matter in Three-Dimensional Layered SuperconductorsNov 27 2002Nov 28 2002Large-scale simulations on three-dimensional (3D) frustrated anisotropic XY model have been performed to study the nonequilibrium phase transitions of vortex matter in weak random pinning potential in layered superconductors. The first-order phase transition ... More
Comment on "Vortex Liquid Crystal in Anisotropic Type II Superconductors"Mar 05 2003May 07 2003This is a Comment on "Vortex Liquid Crystal in Anisotropic Type II Superconductors" by E. W. Carlson et al. in PRL, vol.90, 087001 (2003) [cond-mat/0209175].
Exact dynamics of quantum correlations of two qubits coupled to bosonic bathsMar 05 2013The counter rotating-wave term (CRT) effects from the system-bath coherence on the dynamics of quantum correlation of two qubits in two independent baths and a common bath are systematically investigated. The hierarchy approach is extended to solve the ... More
Large-scale dynamical simulations of the three-dimensional XY spin glassJul 24 2009Large-scale simulations have been performed in the current-driven three-dimensional XY spin glass with resistively-shunted junction dynamics for sample sizes up to $64^3$. It is observed that the linear resistivity at low temperatures tends to zero, providing ... More
Dynamics of vortex glass phase in strongly type II superconductorsFeb 10 2008Oct 01 2008Dynamics of vortices in strongly type-II superconductors with strong disorder is investigated within the frustrated three-dimensional XY model. For two typical models in [Phys. Rev. Lett. {\bf 91}, 077002 (2003)] and [Phys. Rev. B {\bf 68}, 220502(R) ... More
A law of the iterated logarithm sublinear expectationsMar 15 2011Apr 09 2013In this paper, motivated by the notion of independent identically distributed (IID) random variables under sub-linear expectations initiated by Peng, we investigate a law of the iterated logarithm for capacities. It turns out that our theorem is a natural ... More
Discovering Student Behavior Patterns from Event Logs: Preliminary Results on A Novel Probabilistic Latent Variable ModelMar 30 2018Digital platforms enable the observation of learning behaviors through fine-grained log traces, offering more detailed clues for analysis. In addition to previous descriptive and predictive log analysis, this study aims to simultaneously model learner ... More
Weighted estimates for the Calderón commutatorJan 07 2018In this paper, the authors establish some weighted estimates for the Calder\'on commutator defined by \begin{eqnarray*} &&\mathcal{C}_{m+1,\,A}(a_1,\dots,a_{m};f)(x) &&\quad={\rm p.\,v.}\,\int_{\mathbb{R}}\frac{P_2(A;\,x,\,y)\prod_{j=1}^m(A_j(x)-A_j(y))}{(x-y)^{m+2}}f(y){\rm ... More
An Effective Model of Magnetoelectricity in Multiferroics $RMn_2O_5$Mar 19 2007An effective model is developed to explain the phase diagram and the mechanism of magnetoelectric coupling in multiferroics, $RMn_2O_5$. We show that the nature of magnetoelectric coupling in $RMn_2O_5$ is a coupling between two Ising-type orders, namely, ... More
Quantum discord dynamics of two qubits in the single-mode cavitiesFeb 27 2012The dynamics of the quantum discord for two identical qubits in both two independent single-mode cavities and a common single-mode cavity are discussed. For the initial Bell state with correlated spins, while the entanglement sudden death can occur, the ... More
Fairness at Equilibrium in the Labor MarketJul 05 2017Recent literature on computational notions of fairness has been broadly divided into two distinct camps, supporting interventions that address either individual-based or group-based fairness. Rather than privilege a single definition, we seek to resolve ... More
Effects of kink and flexible hinge defects on mechanical responses of short double stranded DNA moleculesFeb 04 2008Mar 07 2008We predict various detectable mechanical responses to the presence of local DNA defects which are defined as short DNA segments exhibiting mechanical properties obviously different from the 50 nm persistence length based semiflexible polymer model. The ... More
Approximations, ghosts and derived equivalencesJun 20 2014Nov 10 2016Approximation sequences and derived equivalences occur frequently in the research of mutation of tilting objects in representation theory, algebraic geometry and noncommutative geometry. In this paper, we introduce symmetric approximation sequences in ... More
Weighted vector-valued bounds for a class of multilinear singular integral operatorsJun 15 2016Jul 19 2016In this paper, we investigate the weighted vector-valued bounds for a class of multilinear singular integral operators, and its commutators, from $L^{p_1}(l^{q_1};\,\mathbb{R}^n,w_1)\times\dots\times L^{p_m}(l^{q_m};\,\mathbb{R}^n,w_m)$ to $L^{p}(l^q;\,\mathbb{R}^n,\nu_{\vec{w}})$, ... More
A deRham model for Chen-Ruan cohomology ring of abelian orbifoldsAug 19 2004Nov 14 2006We present a deRham model for Chen-Ruan cohomology ring of abelian orbifolds. We introduce the notion of \emph{twist factors} so that formally the stringy cohomology ring can be defined without going through pseudo-holomorphic orbifold curves. Thus our ... More
Nernst effect in the two-dimensional XY modelNov 25 2008We calculate the Nernst signal directly in the phenomenological two-dimensional XY model. The obtained numerical results are consistent with the experimental observations in some high-Tc cuprate superconductors qualitatively, where the vortex Nernst signal ... More
Doubly Aligned Incomplete Multi-view ClusteringMar 07 2019Nowadays, multi-view clustering has attracted more and more attention. To date, almost all the previous studies assume that views are complete. However, in reality, it is often the case that each view may contain some missing instances. Such incompleteness ... More
One-Pass Incomplete Multi-view ClusteringMar 02 2019Real data are often with multiple modalities or from multiple heterogeneous sources, thus forming so-called multi-view data, which receives more and more attentions in machine learning. Multi-view clustering (MVC) becomes its important paradigm. In real-world ... More
The spectral gap for transfer operators of torus extensions over expanding mapsMar 08 2015Jan 30 2019We study the spectral gap for transfer operators of the skew product $F: \mathbb{T}^d\times \mathbb{T}^\ell\to \mathbb{T}^d\times \mathbb{T}^\ell$ given by $F(x,y)=(Tx, y+\tau(x) \pmod{ \mathbb{Z}^\ell})$, where $T: \mathbb{T}^d\to \mathbb{T}^d$ is a ... More
The spiral spin state in a zigzag spin chain systemDec 31 2010Sep 24 2011We considered a spin chain with nearest neighbor and next nearest neighbor exchange interactions, anisotropic exchange interaction and Dzyaloshinskii-Moriya interaction. The conditions of the spiral spin state as the ground state were analyzed. Our method ... More
Unparticle effects on cosmic ray photon and $e^\pm$Jul 13 2009Sep 14 2009We study the effects of unparticle physics on the cosmic ray photon and $e^\pm$, including on the pair production (PP) and elastic scattering (ES) of cosmic ray photon off various background radiations, and on the inverse Compton scattering of cosmic ... More
Extremely high energy cosmic ray as the probe of new physicsMar 24 2011Jun 15 2011We explore the influence of new physics on extremely high energy cosmic ray (EXCER) particles. In particular, we devote our mind to one example of new physics, unparticle stuff, on one specific process that EXECRs participate in, photopion production ... More
Heat kernel estimates for $Δ+Δ^{α/2}$ under gradient perturbationOct 30 2014Mar 01 2015For $d \ge 2$, $\alpha \in (0,2)$ and $M > 0$, we consider the gradient perturbation of a family of nonlocal operators $\{\Delta+a^\alpha\Delta^{\alpha/2}, a\in (0,M]\}$. We establish the existence and uniqueness of the fundamental solution $p(t, x, y)$ ... More
Solutions to the anisotropic quantum Rabi modelFeb 02 2015In this work, the anisotropic quantum Rabi model with different coupling strengths of the rotating-wave and counter-rotating wave terms is studied by using two kinds of extended coherent states (ECS). By the first kind of ECS, we can derive a so-called ... More
Asymptotics of signed Bernoulli convolutions scaled by multinacci numbersOct 04 2017We study the signed Bernoulli convolution $$\nu_\beta^{(n)}=*_{j=1}^n \left (\frac12\delta_{\beta^{-j}}-\frac12\delta_{-\beta^{-j}}\right ),\ n\ge 1$$ where $\beta>1$ satisfies $$\beta^m=\beta^{m-1}+\cdots+\beta+1$$ for some integer $m\ge 2$. When $m$ ... More
Global Clock, Physical Time Order and Pending Period Analysis in Multiprocessor SystemsMar 29 2009Jul 12 2009In multiprocessor systems, various problems are treated with Lamport's logical clock and the resultant logical time orders between operations. However, one often needs to face the high complexities caused by the lack of logical time order information ... More
Terahertz wave emission from mesoscopic crystals of BSCCODec 07 2009We study the Terahertz (THz) emission mechanism in BSCCO with an external magnetic field theoretically. The total power is proportional to the square of the number of layers and the frequency. Under the small size limitation, the angular distribution ... More
Optimizing Memory Efficiency for Convolution Kernels on Kepler GPUsMay 29 2017Convolution is a fundamental operation in many applications, such as computer vision, natural language processing, image processing, etc. Recent successes of convolutional neural networks in various deep learning applications put even higher demand on ... More
Efficient Privacy-Preserving Authentication Protocol for Vehicular Communications with TrustworthyAug 30 2010In this paper, we introduce an efficient and trustworthy conditional privacy-preserving communication protocol for VANETs based on proxy re-signature. The proposed protocol is characterized by the Trusted Authority (TA) designating the Roadside Units ... More
Space-time fractional diffusions in Gaussian noisy environmentAug 02 2015Feb 18 2016This paper studies the linear stochastic partial differential equation of fractional orders both in time and space variables $\left(\partial^\beta + \frac{\nu}{2} (-\Delta)^{\alpha/2} \right) u(t,x)= \lambda u(t,x) \dot{W}(t,x)$, where $\dot W$ is a general ... More
Irreversible Markov chain Monte Carlo algorithm for the self-avoiding walkFeb 04 2016We design an irreversible Markov chain Monte Carlo algorithm for the self-avoiding walk (SAW). It outperforms the Berretti-Sokal algorithm. The gained efficiency increases with the spatial dimension, from about $10$ times in two dimensions to around $40$ ... More
Convex PBW-type Lyndon Bases and Restricted Two-Parameter Quantum Group of Type $F_4$Sep 22 2016We determine convex PBW-type Lyndon bases for two-parameter quantum groups $U_{r,s}(F_4)$ with detailed commutation relations. We construct a finite-dimensional Hopf algebra $\mathfrak u_{r,s}(F_4)$, as a quotient of $U_{r,s}(F_4)$ by a Hopf ideal generated ... More
Communicating with sentences: A multi-word naming game modelDec 28 2015Apr 11 2016Naming game simulates the process of naming a single object by a single word, in which a population of communicating agents can reach global consensus asymptotically through iteratively pair-wise conversations. In this paper, we propose an extension of ... More
Repulsion and attraction in high Tc superconductorsDec 21 2010Dec 31 2010The influence of repulsion and attraction in high-Tc superconductors to the gap functions is studied. A systematic method is proposed to compute the gap functions using the irreducible representations of the point group. It is found that a pure s-wave ... More
Reading molecular messages from the intersections of high-order harmonic spectra at different orientationsMar 03 2008Nov 13 2008We investigate the orientation dependence of high-order harmonic generation (HHG) from H$_2^+$ with different internuclear distances irradiated by intense laser fields both numerically and analytically. The calculated molecular HHG spectra are found to ... More
Thermodynamics of Two-impurity Anderson Model with Dzyaloshinskii-Moriya InteractionJun 28 2017Jun 30 2017In this work, we use the numerical renormalization group (NRG) theory to study the thermodynamics of the two-impurity Anderson model. Two different methods are used to estimate the effect of the Dzyaloshiskii-Moriya (DM) interaction on the variation of ... More
Fractional Topological States in Quantum Spin Chains with Periodical ModulationNov 20 2015We report the findings of fractional topological states in one-dimensional periodically modulated quantum spin chains with up to third neighbor interactions. By exact numerical studies, we demonstrate the existence of topologically nontrivial degenerate ... More
Feynman-Kac formula for fractional heat equation driven by fractional white noiseMar 02 2012Oct 13 2014In this paper we obtain a Feynman-Kac formula for the solution of a fractional stochastic heat equation driven by fractional noise. One of the main difficulties is to show the exponential integrability of some singular nonlinear functionals of symmetric ... More
Zeno and anti-Zeno effect in an open quantum system in the ultrastrong-coupling regimeFeb 02 2017Jun 09 2017We study the quantum Zeno effect (QZE) and quantum anti-Zeno effect (QAZE) of a two-level system interacting with an environment of harmonic oscillators, the spin-boson model. By applying a numerically exact method based on matrix product states, the ... More
Concise analytic solutions to the quantum Rabi model with two arbitrary qubitsMay 03 2014Mar 14 2015Using extended coherent states, an analytical exact study has been carried out for the quantum Rabi model (QRM) with two arbitrary qubits in a very concise way. The $G$-functions with $2 \times 2$ determinants are generally derived. For the same coupling ... More
Multigrid Methods for Hellan-Herrmann-Johnson Mixed Method of Kirchhoff Plate Bending ProblemsAug 18 2015Dec 24 2017A V-cycle multigrid method for the Hellan-Herrmann-Johnson (HHJ) discretization of the Kirchhoff plate bending problems is developed in this paper. It is shown that the contraction number of the V-cycle multigrid HHJ mixed method is bounded away from ... More
A Kernel Embedding-based Approach for Nonstationary Causal Model InferenceSep 23 2018Although nonstationary data are more common in the real world, most existing causal discovery methods do not take nonstationarity into consideration. In this letter, we propose a kernel embedding-based approach, ENCI, for nonstationary causal model inference ... More
Flux-lattice melting in LaO$_{1-x}$F$_{x}$FeAs: first-principles predictionMay 06 2008Oct 08 2008We report the theoretical study of the flux-lattice melting in the novel iron-based superconductor $LaO_{0.9}F_{0.1}FeAs$ and $LaO_{0.925}F_{0.075}FeAs$. Using the Hypernetted-Chain closure and an efficient algorithm, we calculate the two-dimensional ... More
On a Problem of Erdős, Herzog and SchönheimFeb 28 2011Nov 28 2011Let $p_1, p_2,..., p_n$ be distinct primes. In 1970, Erd\H os, Herzog and Sch\"{o}nheim proved that if $\cal D$ is a set of divisors of $N=p_1^{\alpha_1}...p_n^{\alpha_n}$, $\alpha_1\ge \alpha_2\ge...\ge \alpha_n$, no two members of the set being coprime ... More
Entanglement witness gameJan 05 2017May 13 2017Motivated by Buscemi's semi-quantum nonlocal game [PRL 108, 200401(2012)], We propose an entanglement witness game, a quantum game based on entanglement witness. Similar as the semi-quantum nonlocal game, the existence of entanglement shared by the players ... More
Nonlocal symmetries related to Bäcklund transformation and their applicationsJan 17 2012Starting from nonlocal symmetries related to B\"acklund transformation (BT), many interesting results can be obtained. Taking the well known potential KdV (pKdV) equation as an example, a new type of nonlocal symmetry in elegant and compact form which ... More
Attention-based Context Aggregation Network for Monocular Depth EstimationJan 29 2019Depth estimation is a traditional computer vision task, which plays a crucial role in understanding 3D scene geometry. Recently, deep-convolutional-neural-networks based methods have achieved promising results in the monocular depth estimation field. ... More
Linear Stability of Compressible Vortex Sheets in Two-Dimensional ElastodynamicsSep 09 2015The linear stability of rectilinear compressible vortex sheets is studied for two-dimensional isentropic elastic flows. This problem has a free boundary and the boundary is characteristic. A necessary and sufficient condition is obtained for the linear ... More
Regularity and strict positivity of densities for the nonlinear stochastic heat equationNov 11 2016In this paper, we establish a necessary and sufficient condition for the existence and regularity of the density of the solution to a semilinear stochastic (fractional) heat equation with measure-valued initial conditions. Under a mild cone condition ... More
Existence Criterion of Low-Dimensional MaterialsOct 05 2016The discovery of graphene and other two-dimensional (2-D) materials has stimulated a general interest in low-dimensional (low-D) materials. Whereas long time ago, Peierls and Landau's theoretical work had shown that any one- and two-dimensional materials ... More
Path Loss Models Based on Stochastic RaysMar 10 2007Mar 21 2007In this paper, two-dimensional percolation lattices are applied to describe wireless propagation environment, and stochastic rays are employed to model the trajectories of radio waves. We first derive the probability that a stochastic ray undergoes certain ... More
Boundary effect on acoustic cloak with unideal pentamode materialNov 06 2018Dec 20 2018Pentamode materials are elastic solids with vanishing shear modulus, and can be used cloak underwater sound with solid state and broadband merits. However, pentamode materials realized with real microstructure have inevitable small shear modulus. This ... More
Gradient and Stability Estimates of Heat Kernels for Fractional Powers of Elliptic OperatorMay 31 2017Gradient and stability type estimates of heat kernel associated with fractional power of a uniformly elliptic operator are obtained. $L^p$-operator norm of semigroups associated with fractional power of two uniformly elliptic operators are also obtained. ... More
Plateau in Above-Threshold-Ionization Spectra and Chaotic Behavior in Rescattering ProcessJan 10 1998An improved quasistatic model is used to describe the ionization process of atoms in intense linearly polarized fields. Numerical calculations of Above-Threshold-Ionization (ATI) energy spectra and photoelectron angular distributions (PAD) of hydrogen ... More
LCSTS: A Large Scale Chinese Short Text Summarization DatasetJun 19 2015Feb 19 2016Automatic text summarization is widely regarded as the highly difficult problem, partially because of the lack of large text summarization data set. Due to the great challenge of constructing the large scale summaries for full text, in this paper, we ... More
The construction of two-dimensional optimal systems for the invariant solutionsNov 14 2014To search for inequivalent group invariant solutions, a general and systematic approach is established to construct two-dimensional optimal systems, which is based on commutator relations, adjoint matrix and the invariants. The details of computing all ... More
A direct algorithm of one-dimensional optimal system for the group invariant solutionsNov 14 2014A direct and systematic algorithm is proposed to find one-dimensional optimal system for the group invariant solutions, which is attributed to the classification of its corresponding one-dimensional Lie algebra. Since the method is based on different ... More
Microvariability Detection of Mrk 421Nov 18 2013The BL Lac object Mrk 421 was observed in optical bands from 2009 April to 2012 May with the 1.0 m telescope at Weihai Observatory of Shandong University. Microvariability was analysed by C and F tests, but no significant microvariability was detected ... More
Optical Monitoring of OT 546 in 2009May 20 2014We reported the monitoring results of OT 546 in V, R and I bands, observed on 22 nights from February 16 to July 1 in 2009 at Weihai Observatory of Shandong University. During our monitoring, its variability amplitude was small and a possible microvariability ... More
Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equationMar 28 2017In classical shallow water wave (SWW) theory, there exist two integrable one-dimensional SWW equation [Hirota-Satsuma (HS) type and Ablowitz-Kaup-Newell-Segur (AKNS) type] in the Boussinesq approximation. In this paper, we mainly focus on the integrable ... More
Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor modelJan 09 2008The ground state of the quantum rotor model in two dimensions with random phase frustration is investigated. Extensive Monte Carlo simulations are performed on the corresponding (2+1)-dimensional classical model under the entropic sampling scheme. For ... More
Nonlinear stochastic time-fractional slow and fast diffusion equations on $\mathbb{R}^d$Sep 25 2015This paper studies the nonlinear stochastic partial differential equation of fractional orders both in space and time variables: \[ \left(\partial^\beta+\frac{\nu}{2}(-\Delta)^{\alpha/2}\right)u(t,x) = I_t^\gamma\left[\rho(u(t,x))\dot{W}(t,x)\right],\quad ... More
Favorite sites of randomly biased walks on a supercritical Galton-Watson treeNov 14 2016Erd\H{o}s and R\'ev\'esz initiated the study of favorite sites by considering the one-dimensional simple random walk. We investigate in this paper the same problem for a class of null-recurrent randomly biased walks on a supercritical Gaton-Watson tree. ... More
On projective threefolds of general type with p_g=2Jan 24 2019We classify minimal projective 3-folds of general type with $p_g = 2$ by studying the birationality of their 6-canonical maps.
Reactions of C$_2$({\it a}$^3Pi_u$) with selected saturated alkanes: A temperature dependence studyJan 29 2010May 01 2010We present a temperature dependence study on the gas phase reactions of the C$_2$({\it a}$^3Pi_u$) radical with a selected series of saturated alkanes (C$_2$H$_6$, C$_3$H$_8$, n-C$_4$H$_10$, i-C$_4$H$_10$, and n-C$_6$H$_14$) by means of pulsed laser photolysis/laser-induced ... More
The Trajectory of Voice Onset Time with Vocal AgingOct 15 2018Vocal aging, a universal process of human aging, can largely affect one's language use, possibly including some subtle acoustic features of one's utterances like Voice Onset Time. To figure out the time effects, Queen Elizabeth's Christmas speeches are ... More
Compensated isocurvature perturbations in the curvaton modelMay 04 2015Oct 29 2015Primordial fluctuations in the relative number densities of particles, or isocurvature perturbations, are generally well constrained by cosmic microwave background (CMB) data. A less probed mode is the compensated isocurvature perturbation (CIP), a fluctuation ... More
Chaotic Behavior of a One-dimensional Model Atom in an Intense FieldJan 07 1998In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. The above-threshold ionization ... More
Absence of topological insulator phases in non-Hermitian PT-symmetric HamiltoniansJul 06 2011In this work we consider a generalization of the symmetry classification of topological insulators to non-Hermitian Hamiltonians which satisfy a combined $PT$-symmetry (parity and time-reversal). We show via examples, and explicit bulk and boundary state ... More
An Algorithm for Selecting QGP Candidate Events from Relativistic Heavy Ion Collision DataJan 25 1998The formation of quark-gluon plasma (QGP) in relativistic heavy ion collision, is expected to be accompanied by a background of ordinary collision events without phase transition. In this short note an algorithm is proposed to select the QGP candidate ... More
Confinements regulate capillary instabilities of fluid threadsFeb 19 2019We study the breakup of confined fluid threads at low flow rates to understand instability mechanisms. To determine the critical conditions between the earlier quasi-stable necking stage and the later unstable collapse stage, simulations and experiments ... More
Quantum phase transition of the one-dimensional compass model in a transverse magnetic fieldJun 09 2009Nov 21 2009The quantum phase transition (QPT) of the one-dimensional (1D) quantum compass model in a transverse magnetic field is studied in this paper. An exact solution is obtained by using an extended Jordan and Wigner transformation to the pseudo-spin operators. ... More
Quantum phase transitions of the spin-boson model within multi-coherent-statesDec 19 2014A variational approach based on the multi-coherent-state ansatz with asymmetric parameters is employed to study the ground state of the spin-boson model. Without any artificial approximations except for the finite number of the coherent states, we find ... More
Absence of collapse in quantum Rabi oscillationsNov 27 2014We show analytically that the collapse and revival in the population dynamics of the atom-cavity coupled system under the rotating wave approximation (RWA), valid only at very weak coupling, is an artifact as the atom-cavity coupling is increased. Even ... More
On Menon-Sury's identity with several Dirichlet charactersJul 19 2018Jul 25 2018The Menon-Sury's identity is as follows: \begin{equation*} \sum_{\substack{1 \leq a, b_1, b_2, \ldots, b_r \leq n\\\mathrm{gcd}(a,n)=1}} \mathrm{gcd}(a-1,b_1, b_2, \ldots, b_r,n)=\varphi(n) \sigma_r(n), \end{equation*} where $\varphi$ is Euler's totient ... More
First-principles Analysis of Photo-current in Graphene PN JunctionsFeb 22 2012We report a first principles investigation of photocurrent generation by graphene PN junctions. The junctions are formed by either chemically doping with nitrogen and boron atoms, or by controlling gate voltages. Non-equilibrium Green's function (NEGF) ... More
Approximability of the Minimum Weighted Doubly Resolving Set ProblemApr 18 2014Locating source of diffusion in networks is crucial for controlling and preventing epidemic risks. It has been studied under various probabilistic models. In this paper, we study source location from a deterministic point of view by modeling it as the ... More
Two-point correlation function and Feynman-Kac formula for the stochastic heat equationSep 03 2015In this paper, we obtain an explicit formula for the two-point correlation function for the solutions to the stochastic heat equation on $\mathbb{R}$. The bounds for $p$-th moments proved in [3] are simplified. We validate the Feynman-Kac formula for ... More
Communicating with sentences: A multi-word naming game modelDec 28 2015Sep 18 2017Naming game simulates the process of naming an object by a single word, in which a population of communicating agents can reach global consensus asymptotically through iteratively pair-wise conversations. We propose an extension of the single-word model ... More
An SVD-based Fragile Watermarking Scheme With Grouped BlocksFeb 10 2015Feb 11 2015This paper proposes a novel fragile watermarking scheme for digital image authentication which is based on Singular Value Decomposition(SVD) and grouped blocks. The watermark bits which include two types of bits are inserted into the least significant ... More
Lie Algebrized Gaussians for Image RepresentationApr 03 2013May 09 2017We present an image representation method which is derived from analyzing Gaussian probability density function (\emph{pdf}) space using Lie group theory. In our proposed method, images are modeled by Gaussian mixture models (GMMs) which are adapted from ... More
Theory of Magnetic Order in $ Fe_{1+y}Te_{1-x}Se_x$Nov 08 2008We develop a local spin model to explain the rich magnetic structures in the iron-based superconductors $Fe_{1+y}Te_{1-x}Se_x$. We show that our model exhibits both commensurate antiferromagnetic and incommensurate magnetic order along the crystal a-axis. ... More
Irreversible Markov chain Monte Carlo algorithm for self-avoiding walkFeb 04 2016Jan 02 2017We formulate an irreversible Markov chain Monte Carlo algorithm for the self-avoiding walk (SAW), which violates the detailed balance condition and satisfies the balance condition. Its performance improves significantly compared to that of the Berretti-Sokal ... More
On the relationship between Gaussian stochastic blockmodels and label propagation algorithmsJul 05 2014Jan 27 2015The problem of community detection receives great attention in recent years. Many methods have been proposed to discover communities in networks. In this paper, we propose a Gaussian stochastic blockmodel that uses Gaussian distributions to fit weight ... More
Generalized rotating-wave approximation to the two-qubit and cavity coupling systemOct 08 2014The generalized rotating-wave approximation (GRWA) is presented for the two-qubit and cavity coipling system . The analytical expressions in the zeroth order approximation recover the previous adiabatic ones. The counterrotating-wave terms can be eliminated ... More
Multi-target Unsupervised Domain Adaptation without Exactly Shared CategoriesSep 04 2018Sep 17 2018Unsupervised domain adaptation (UDA) aims to learn the unlabeled target domain by transferring the knowledge of the labeled source domain. To date, most of the existing works focus on the scenario of one source domain and one target domain (1S1T), and ... More
Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactionsNov 26 2015Dec 09 2015We study one-dimensional strongly interacting quantum gas mixtures, including both the Bose-Fermi and spin-1/2 Fermi-Fermi mixtures, with weak p-wave interactions between intra-component fermions, and demonstrate that the weak p-wave interaction can not ... More
Quantum criticality of the sub-Ohmic spin-boson model within displaced Fock statesOct 04 2014The spin-boson model is analytically studied using displaced Fock states (DFS) without discretization of the continuum bath. In the orthogonal displaced Fock basis, the ground-state wavefunction can be systematically improved in a controllable way. Interestingly, ... More
Improved Silbey-Harris polaron ansatz for the spin-boson modelMar 27 2018In this paper, the well-known Silbey-Harris (SH) polaron ansatz for the spin-boson model is improved by adding orthogonal displaced Fock states. The obtained results for the ground state in all baths converge very quickly within finite displaced Fock ... More
Stabilized mixed finite element methods for linear elasticity on simplicial grids in $\mathbb{R}^{n}$Dec 13 2015Oct 27 2016In this paper, we design two classes of stabilized mixed finite element methods for linear elasticity on simplicial grids. In the first class of elements, we use $\boldsymbol{H}(\mathbf{div}, \Omega; \mathbb{S})$-$P_k$ and $\boldsymbol{L}^2(\Omega; \mathbb{R}^n)$-$P_{k-1}$ ... More
A generalized nonisospectral Camassa-Holm equation and its multipeakon solutionsNov 16 2014Motivated by the paper (Beals, Sattinger and Szmigielski, Adv. Math. 154 (2000) 229--257), we propose an extension of the Camassa-Holm equation, which also admits the multipeakon solutions. The novel aspect is that our approach is mainly based on classic ... More
Resistance growth of branching random networksJan 15 2018May 18 2018Consider a rooted infinite Galton-Watson tree with mean offspring number $m>1$, and a collection of i.i.d. positive random variables $\xi_e$ indexed by all the edges in the tree. We assign the resistance $m^d \xi_e$ to each edge $e$ at distance $d$ from ... More
Parameter Estimation of Complex Fractional Ornstein-Uhlenbeck Processes with Fractional NoiseJan 26 2017We obtain strong consistency and asymptotic normality of a least squares estimator of the drift coefficient for complex-valued Ornstein-Uhlenbeck processes disturbed by fractional noise, extending the result of Y. Hu and D. Nualart, [Statist. Probab. ... More
Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured GridsMar 03 2017Apr 21 2018In [L. Chen and R. Li, Journal of Scientific Computing, Vol. 68, pp. 1172--1197, (2016)], an integrated linear reconstruction was proposed for finite volume methods on unstructured grids. However, the geometric hypothesis of the mesh to enforce a local ... More
Linear Stability of Compressible Vortex Sheets in 2D Elastodynamics: Variable CoefficientsApr 20 2018Dec 19 2018The linear stability with variable coefficients of the vortex sheets for the two-dimensional compressible elastic flows is studied. As in our earlier work on the linear stability with constant coefficients, the problem has a free boundary which is characteristic, ... More
High-order Harmonic Generation in a Time-integrated Quantum Transition PictureNov 13 2008We develop a numerical scheme to investigate the high-order harmonic generation (HHG) in intense laser-matter interactions. Tracing the time evolution of every electronic laser-field-free state, we "observe" the HHG in a time-integrated quantum transition ... More
Weighted blowup correspondence of orbifold Gromov--Witten invariants and applicationsDec 05 2017Let $\sf X$ be a symplectic orbifold groupoid with $\sf S$ being a symplectic sub-orbifold groupoid, and $\sf X_{\mathfrak a}$ be the weight-$\mathfrak a$ blowup of $\sf X$ along $\sf S$ with $\sf Z$ being the corresponding exceptional divisor. We show ... More
The magnetoelectric coupling in the multiferroic compound LiCu2O2Mar 02 2008May 01 2008We investigate the possible types of coupling between ferroelectricity and magnetism for the zig-zag spin chain multiferroic LiCu2O2 compound. We construct a multi-order parameter phenomenological model for the material based on a group theoretical analysis. ... More
Bell Inequality Based on Peres-Horodecki CriterionMay 16 2007Jun 22 2007We established a physically utilizable Bell inequality based on the Peres-Horodecki criterion. The new quadratic probabilistic Bell inequality naturally provides us a necessary and sufficient way to test all entangled two-qubit or qubit-qutrit states ... More