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Experimental observation of the spontaneous breaking of the time-reversal symmetry in a synchronously-pumped passive Kerr resonatorJan 13 2014We experimentally observe a spontaneous temporal symmetry breaking instability in a coherently-driven passive optical Kerr resonator. The cavity is synchronously pumped by time-symmetric pulses yet we report output pulses with strongly asymmetric temporal ... More

Real-time spectral analysis of ultrafast pulses using a free-space angular chirp enhanced delayMay 14 2019Frequency to time mapping is a powerful technique for observing ultrafast phenomena and non-repetitive events in optics. However, many optical sources operate in wavelength regions, or at power levels, that are not compatible with standard frequency to ... More

Utility maximization problem with random endowment and transaction costs: when wealth may become negativeApr 27 2016Sep 05 2016In this paper we study the problem of maximizing expected utility from the terminal wealth with proportional transaction costs and random endowment. In the context of the existence of consistent price systems, we consider the duality between the primal ... More

Intertwined Spin and Orbital Density Waves in MnP Uncovered by Resonant Soft X-ray ScatteringAug 26 2018Unconventional superconductors are often characterized by numerous competing and even intertwined orders in their phase diagrams. In particular, the electronic nematic phases, which spontaneously break rotational symmetry and often simultaneously involve ... More

On the existence of shadow prices for optimal investment with random endowmentFeb 02 2016Feb 23 2017In this paper, we consider a num\'eraire-based utility maximization problem under constant proportional transaction costs and random endowment. Assuming that the agent cannot short sell assets and is endowed with a strictly positive contingent claim, ... More

Lyapunov-type conditions and stochastic differential equations driven by $G$-Brownian motionDec 18 2014This paper studies the solvability and the stability of stochastic differential equations driven by G-Brownian motion (GSDEs). In particular, the existence and uniqueness of the solution for locally Lipschitz GSDEs is obtained by localization methods, ... More

Second order backward SDE with random terminal timeFeb 06 2018Backward stochastic differential equations extend the martingale representation theorem to the nonlinear setting. This can be seen as path-dependent counterpart of the extension from the heat equation to fully nonlinear parabolic equations in the Markov ... More

A New Result for Second Order BSDEs with Quadratic Growth and its ApplicationsJan 03 2013In this paper, we study a class of second order backward stochastic differential equations (2BSDEs) with quadratic growth in coefficients. We first establish solvability for such 2BSDEs and then give their applications to robust utility maximization problems. ... More

Stochastic differential equations driven by $G$-Brownian motion with reflecting boundary conditionsMar 02 2011Oct 06 2015In this paper, we introduce the idea of stochastic integrals with respect to an increasing process in the $G$-framework and extend $G$-It\^o's formula. Moreover, we study the solvability of the scalar valued stochastic differential equations driven by ... More

Nonlinear optics of fibre event horizonsMar 26 2014The nonlinear interaction of light in an optical fibre can mimic the physics at an event horizon. This analogue arises when a weak probe wave is unable to pass through an intense soliton, despite propagating at a different velocity. To date, these dynamics ... More

Cyclic Network Automata and Cohomological WavesOct 18 2012This paper considers a dynamic coverage problem for sensor networks that are sufficiently dense but not localized. Only a small fraction of sensors may be in an awake state at any given time. The goal is to find a decentralized protocol for establishing ... More

On the existence and uniqueness of solutions to stochastic differential equations driven by G-Brownian motion with integral-Lipschitz coefficientsFeb 04 2010Oct 06 2015In this paper, we study the existence and uniqueness of solutions to stochastic differential equations driven by G-Brownian motion (GSDEs) with integral-Lipschitz conditions on their coefficients.

Estimating Emotional Intensity from Body Poses for Human-Robot InteractionApr 20 2019Equipping social and service robots with the ability to perceive human emotional intensities during an interaction is in increasing demand. Most of existing work focuses on determining which emotion(s) participants are expressing from facial expressions ... More

The CST Bounce Universe model -- a parametric studyJan 15 2016Jul 04 2018A bounce universe model with a scale-invariant and stable spectrum of primordial density perturbations was constructed using a consistent truncation of the D-brane dynamics from Type IIB string theory. A coupling was introduced between the tachyon field ... More

Intermediated ImplementationOct 26 2018Many real-world problems such as sales and healthcare regulation involve a principal, multiple intermediaries, and agents with hidden characteristics. In these problems, intermediaries compete through offering menus of multifaceted consumption bundles ... More

Intermediated ImplementationOct 26 2018Apr 22 2019We examine problems of "intermediated implementation." An example is sales, whereby retailers compete through offering consumption bundles to consumers with hidden tastes, whereas a manufacturer with a potentially different goal than retailers' can regulate ... More

Intermediated ImplementationOct 26 2018Apr 23 2019We examine problems of "intermediated implementation." An example is sales, whereby retailers compete through offering consumption bundles to consumers with hidden tastes, whereas a manufacturer with a potentially different goal than retailers' can regulate ... More

Two-Dimensional Pursuit-Evasion in a Compact Domain with Piecewise Analytic BoundaryMay 02 2015In a pursuit-evasion game, a team of pursuers attempt to capture an evader. The players alternate turns, move with equal speed, and have full information about the state of the game. We consider the most restictive capture condition: a pursuer must become ... More

Generalized Wasserstein distance and weak convergence of sublinear expectationsMay 19 2015Oct 07 2015In this paper, we define the generalized Wasserstein distance for sets of Borel probability measures and demonstrate that the weak convergence of sublinear expectations can be characterized by means of this distance.

A new proof of Bowers-Stephenson conjectureApr 25 2019Inversive distance circle packing on surfaces was introduced by Bowers-Stephenson as a generalization of Thurston's circle packing and conjectured to be rigid. The infinitesimal and global rigidity of circle packing with nonnegative inversive distance ... More

Reflected stochastic differential equations driven by $G$-Brownian motion in non-convex domainsMar 09 2017In this paper, we first review the penalization method for solving deterministic Skorokhod problems in non-convex domains and establish estimates for problems with $\alpha$-H\"older continuous functions. With the help of these results obtained previously ... More

Combinatorial $α$-curvatures and $α$-flows on polyhedral surfaces, IJun 11 2018We introduce combinatorial $\alpha$-curvature for piecewise linear metrics on polyhedral surfaces, which is a generalization of the classical combinatorial curvature on polyhedral surfaces. Then we prove the global rigidity of $\alpha$-curvature with ... More

On the global rigidity of sphere packings on 3-dimensional manifoldsNov 27 2016In this paper, we prove the global rigidity of sphere packings on 3-dimensional triangulated manifolds, which was conjectured by Cooper and Rivin in \cite{CR}. This is an analogue of the rigidity part of Andreev-Thurston Theorem in three dimension. We ... More

On the dual problem of utility maximization in incomplete marketsOct 28 2015Nov 26 2015In this paper, we study the dual problem of the expected utility maximization in incomplete markets with bounded random endowment. We start with the problem formulated in the paper of Cvitani\'{c}-Schachermayer-Wang (2001) and prove the following statement: ... More

A Framework for Transceiver Designs for Multi-Hop Communications with Covariance Shaping ConstraintsNov 16 2014Dec 11 2014For multiple-input multiple-output (MIMO) transceiver designs, sum power constraint is an elegant and ideal model. When various practical limitations are taken into account e.g., peak power constraints, per-antenna power constraints, etc., covariance ... More

Effective Sequential Classifier Training for SVM-based Multitemporal Remote Sensing Image ClassificationJun 15 2017Jan 17 2018The explosive availability of remote sensing images has challenged supervised classification algorithms such as Support Vector Machines (SVM), as training samples tend to be highly limited due to the expensive and laborious task of ground truthing. The ... More

A Framework for Transceiver Designs for Multi-Hop Communications with Covariance Shaping ConstraintsNov 16 2014Feb 21 2017For multiple-input multiple-output (MIMO) transceiver designs, sum power constraint is an elegant and ideal model. When various practical limitations are taken into account e.g., peak power constraints, per-antenna power constraints, etc., covariance ... More

Quadratic backward stochastic differential equations driven by $G$-Brownian motion: discrete solutions and approximationMar 11 2016Mar 17 2016In this paper, we consider backward stochastic differential equations driven by $G$-Brownian motion (GBSDEs) under quadratic assumptions on coefficients. We prove the existence and uniqueness of solution for such equations. On the one hand, a priori estimates ... More

The new wave equations of relativistic and non-relativistic quantum mechanicsDec 01 2003In this work, we give the wave equations of relativistic and non-relativistic quantum mechanics which are different from the Schr\"{o}dinger and Klein-Gordon equation, and we also give the new relativistic wave equation of a charged particle in an electromagnetic ... More

The Influence of Environment on the Chemical Evolution in Low-mass GalaxiesSep 08 2016The mean alpha-to-iron abundance ratio ([$\alpha$/Fe]) of galaxies is sensitive to the chemical evolution processes at early time, and it is an indicator of star formation timescale ($\tau_{{\rm SF}}$). Although the physical reason remains ambiguous, ... More

On Weighted MSE Model for MIMO Transceiver OptimizationSep 30 2016Mean-squared-error (MSE) is one of the most widely used performance metrics for the designs and analysis of multi-input-multiple-output (MIMO) communications. Weighted MSE minimization, a more general formulation of MSE minimization, plays an important ... More

On the existence of shadow prices for optimal investment with random endowmentFeb 02 2016In this paper, we consider a num\'eraire-based utility maximization problem under proportional transaction costs and random endowment. Assuming that the agent cannot short sell assets and is endowed with a strictly positive contingent claim, a primal ... More

Matrix-Monotonic Optimization for MIMO SystemsDec 06 2013Dec 03 2014For MIMO systems, due to the deployment of multiple antennas at both the transmitter and the receiver, the design variables e.g., precoders, equalizers, training sequences, etc. are usually matrices. It is well known that matrix operations are usually ... More

Utility maximization problem under transaction costs: optimal dual processes and stabilityOct 12 2017This paper discusses the num\'eraire-based utility maximization problem in markets with proportional transaction costs. In particular, the investor is required to liquidate all her position in stock at the terminal time. We first observe the stability ... More

A note on utility maximization with transaction costs and random endoment: numéraire-based model and convex dualityFeb 02 2016Feb 04 2016In this note, we study the utility maximization problem on the terminal wealth under proportional transaction costs and bounded random endowment. In particular, we restrict ourselves to the num\'eraire-based model and work with utility functions only ... More

An Extended Stochastic Model for Quantitative Security Analysis of Networked SystemsMar 28 2016Quantitative security analysis of networked computer systems is one of the decades-long open problems in computer security. Recently, a promising approach was proposed in \cite{XuTDSC11}, which however made some strong assumptions including the exponential ... More

Inequalities for Euler-Mascheroni constantJul 15 2014The aim of this paper is to establish new inequalities for the Euler-Mascheroni by the continued fraction method.

Thurston's sphere packings on 3-dimensional manifolds, IApr 25 2019May 21 2019Thurston's sphere packing on a 3-dimensional manifold is a generalization of Thusrton's circle packing on a surface, allowing adjacent spheres to intersect with non-obtuse angles. In this paper, we prove that the discrete Laplacian for a large class of ... More

2-Dimensional Combinatorial Calabi Flow in Hyperbolic Background GeometryJan 28 2013For triangulated surfaces locally embedded in the standard hyperbolic space, we introduce combinatorial Calabi flow as the negative gradient flow of combinatorial Calabi energy. We prove that the flow produces solutions which converge to ZCCP-metric (zero ... More

Combinatorial Calabi flow with surgery on surfacesJun 06 2018We study the combinatorial Calabi flow for Euclidean and hyperbolic polyhedral metrics on surfaces, which is an analogue of the smooth surface Calabi flow. To handle the singularies along the combinatorial Calabi flow, we do surgery on the flow by flipping. ... More

A memory mechanism based on two dimensional code of neurosome patternNov 14 2017We have recognized that 2D codes, i.e., a group of strongly connected neurosomes that can be simultaneously excited, are the basic data carriers for memory in a brain. An echoing mechanism between two neighboring layers of neurosomes is assumed to establish ... More

$α$-curvatures and $α$-flows on low dimensional triangulated manifoldsMay 19 2015In this paper, we introduce two discrete curvature flows, which are called $\alpha$-flows on two and three dimensional triangulated manifolds. For triangulated surface $M$, we introduce a new normalization of combinatorial Ricci flow (first introduced ... More

On the $\ell_1$-Norm Invariant Convex k-Sparse Decomposition of SignalsMay 26 2013Nov 11 2013Inspired by an interesting idea of Cai and Zhang, we formulate and prove the convex $k$-sparse decomposition of vectors which is invariant with respect to $\ell_1$ norm. This result fits well in discussing compressed sensing problems under RIP, but we ... More

Transverse Dynamics at RHICNov 13 2002Studies of <p_{T}>, transverse momentum spectra and anisotropy flow from nuclear collisions at RHIC indicate early thermalization and strong collective expansion. We propose a systematic study of the anisotropy parameter $v_2$ and the transverse momentum ... More

Neural network state estimation for full quantum state tomographyNov 16 2018Nov 19 2018An efficient state estimation model, neural network estimation (NNE), empowered by machine learning techniques, is presented for full quantum state tomography (FQST). A parameterized function based on neural network is applied to map the measurement outcomes ... More

Thurston's sphere packing on 3-dimensional manifolds, IApr 25 2019Thurston's sphere packing on 3-dimensional manifolds is a generalization of Thusrton's circle packing on surfaces, allowing adjacent spheres to intersect with non-obtuse angles. In this paper, we prove that the discrete Laplacian for a large class of ... More

Discrete Quasi-Einstein Metrics and Combinatorial Curvature Flows in 3-DimensionJan 15 2013May 09 2013We define Discrete Quasi-Einstein metrics (DQE-metrics) as the critical points of discrete total curvature functional on triangulated 3-manifolds. We study DQE-metrics by introducing some combinatorial curvature flows. We prove that these flows produce ... More

Remarks on Murre's conjecture on Chow groupsOct 04 2011For certain product varieties, Murre's conjecture on Chow groups is investigated. In particular, it is proved that Murre's conjecture (B) is true for two kinds of four-folds. Precisely, if $C$ is a curve and $X$ is an elliptic modular threefold over $k$ ... More

Compressed Sensing Matrices from Fourier MatricesJan 03 2013The class of Fourier matrices is of special importance in compressed sensing (CS). This paper concerns deterministic construction of compressed sensing matrices from Fourier matrices. By using Katz' character sum estimation, we are able to design a deterministic ... More

Discrete schemes for Gaussian curvature and their convergenceApr 07 2008In this paper, several discrete schemes for Gaussian curvature are surveyed. The convergence property of a modified discrete scheme for the Gaussian curvature is considered. Furthermore, a new discrete scheme for Gaussian curvature is resented. We prove ... More

New result on Chern conjecture for minimal hypersurfaces and its applicationMay 24 2016We verify that if $M$ is a compact minimal hypersurface in $\mathbb{S}^{n+1}$ whose squared length of the second fundamental form satisfying $0\leq |A|^2-n\leq\frac{n}{22}$, then $|A|^2\equiv n$ and $M$ is a Clifford torus. Moreover, we prove that if ... More

An Adaptive Characteristic-wise Reconstruction WENOZ scheme for Gas Dynamic Euler EquationsNov 30 2017Jan 12 2019Due to its excellent shock-capturing capability and high resolution, the WENO scheme family has been widely used in varieties of compressive flow simulation. However, for problems containing strong shocks and contact discontinuities, such as the Lax shock ... More

On the Galactic Center Being the Main Source of Galactic Cosmic Rays as Evidenced by Recent Cosmic Ray and Gamma Ray ObservationsJan 27 2011Jan 23 2013We revisit the idea that the Galactic center (GC) is the dominant source of Galactic cosmic rays (GCRs), based on a series of new observational evidence. A unified model is proposed to explain the new phenomena of GCRs and $\gamma$-rays simultaneously. ... More

Causal transport in discrete time and applicationsJun 13 2016Mar 23 2017Loosely speaking, causal transport plans are a relaxation of adapted processes in the same sense as Kantorovich transport plans extend Monge-type transport maps. The corresponding causal version of the transport problem has recently been introduced by ... More

Structural and Magnetic Phase Diagram of CrAs and its Relationship with Pressure-induced SuperconductivitySep 23 2014May 14 2015Most unconventional superconductors, including cuprates and iron-based superconductors, are derived from chemical doping or application of pressure on their collinearly magnetic-ordered parent compounds[1-5]. The recently discovered pressure-induced superconductor ... More

Causal transport in discrete time and applicationsJun 13 2016Loosely speaking, causal transport plans are a relaxation of adapted processes in the same sense as Kantorovich transport plans extend Monge-type transport maps. The corresponding causal version of the transport problem has recently been introduced by ... More

How To Backdoor Federated LearningJul 02 2018Oct 01 2018Federated learning enables thousands of participants to construct a deep learning model without sharing their private training data with each other. For example, multiple smartphones can jointly train a next-word predictor for keyboards without revealing ... More

Quadratic BSDEs with mean reflectionMay 27 2017The present paper is devoted to the study of the well-posedness of BSDEs with mean reflection whenever the generator has quadratic growth in the $z$ argument. This work is the sequel of Briand et al. [BSDEs with mean reflection, arXiv:1605.06301] in which ... More

Transceiver designs with matrix-version water-filling architecture under mixed power constraintsOct 14 2014Aug 23 2015In this paper, we investigate the multiple-input multiple-output (MIMO) transceiver design under an interesting power model named mixed power constraints. In the considered power model, several antenna subsets are constrained by sum power constraints ... More

Structural signature of jamming transition in thermal amorphous systemsNov 09 2009Jan 07 2012In thermal amorphous systems, the first peak of the pair correlation function $g(r)$ shows a maximum height $g_1^{\rm max}$ at a volume fraction $\phi=\phi_v$ that increases with the temperature. $g_1^{\rm max}$ diverges at the T=0 jamming transition ... More

An Overview of STAR Experimental ResultsAug 15 2014With large acceptance and excellent particle identification, STAR is one of the best mid-rapidity collider experiments for studying high-energy nuclear collisions. The STAR experiment provides full information on initial conditions, properties of the ... More

Numerical Algorithms and Simulations for Reflected Backward Stochastic Differential Equations with two Continuous BarriersMar 26 2008Sep 23 2009In this paper we study different algorithms for reflected backward stochastic differential equations (BSDE in short) with two continuous barriers basing on random work framework. We introduce different numerical algorithms by penalization method and reflected ... More

Probing the Neutrino Mass through the Cross Correlation between the Rees-Sciama Effect and Weak LensingMay 09 2016Aug 19 2016Cosmology plays a fundamental role to determine the neutrino mass, therefore also to determine its mass hierarchy, since the massive neutrino contributes to the total matter density in the Universe at the background and perturbation levels, once it becomes ... More

Constraints on Dark Matter annihilation and Its Equation of State after Planck DataDec 13 2013Dec 17 2013In this paper, the annihilation of dark matter $f_d\epsilon_0$ with nonzero equation of state $w_{dm}$ was studied by using the currently available cosmic observations which include the geometric and dynamic measurements. The constrained results show ... More

Liquid drop splashing on smooth, rough and textured surfacesFeb 09 2007Splashing occurs when a liquid drop hits a dry solid surface at high velocity. This paper reports experimental studies of how the splash depends on the roughness and the texture of the surfaces as well as the viscosity of the liquid. For smooth surfaces, ... More

The Multifractal Nature of Boltzmann ProcessesApr 25 2015We consider the spatially homogeneous Boltzmann equation for (true) hard and moderately soft potentials. We study the pathwise properties of the stochastic process $(V_t)_{t\geq 0}$, which describes the time evolution of the velocity of a typical particle. ... More

Comments on: "Optical solitons in a parabolic law media with fourth order dispersion"[Appl. Math. Comput. 208(2009)209-302]Apr 03 2010Apr 06 2010Recently, Biswas and Milovic [Appl. Math. Comput. 208 (2009) 209-302] have found optical one-soliton solutions of a fourth order dispersive cubic-quintic nonlinear Schr\"odinger equation. In this comment, we first show there are mistakes in the paper ... More

Hydrodynamic and N-body Schemes On An Unstructured, Adaptive Mesh with Applications to Cosmological SimulationsOct 09 1996The theory and application of numerical methods for unstructured meshes have been improved significantly in recent years. Because the grids can be place arbitrarily in space, unstructured meshes can provide much higher spatial resolution than regular ... More

Moduli space of twisted holomorphic maps with Lagrangian boundary condition: compactnessFeb 18 2012Let $(X, \omega)$ be a compact symplectic manifold and $L$ be a Lagrangian submanifold. Suppose $(X, L)$ has a Hamiltonian $S^1$ action with moment map $\mu$. Take an invariant $\omega$-compatible almost complex structure, we consider tuples $(C, P, A, ... More

A note on the semi-negative curvature property of a manifold with a flat Higgs bundleAug 02 2016We shall prove a semi-negative curvature property for a manifold with a flat admissible Higgs bundle.

Circularly uniformizable invariant measures for linear transformationsSep 26 2016Nov 13 2016In this paper, we prove a threshold result on the existence of a circularly uniformizable invariant probability measure for linear transformations on the line. We show that there exists a constant $c_{\beta}$ depending on the slope $\beta$ of the linear ... More

Long-time asymptotics for the short pulse equationAug 10 2016In this paper, we analyze the long-time behavior of the solution of the initial value problem (IVP) for the short pulse (SP) equation. As the SP equation is a complete integrable system, which posses a Wadati-Konno-Ichikawa (WKI)-type Lax pair, we formulate ... More

Zariski density of monodromy groups via Picard-Lefschetz type formulaSep 14 2016For the universal family of cyclic covers of projective spaces branched along hyperplane arrangements in general position, we consider its monodromy group acting on an eigen linear subspace of the middle cohomology of the fiber. We prove the monodromy ... More

Theory on the Structure and Coloring of Maximal Planar Graphs (1)Recursion Formulae of Chromatic Polynomial and Four-Color ConjectureMar 11 2016In this paper, two recursion formulae of chromatic polynomial of a maximal planar graph G are obtained. Moreover, the application of these formulaes to the proof of Four-Color Conjecture is investigated. By using these formulae, the proof of Four-Color ... More

Estimate of the Convergence Rate of Finite Element Solutions to Elliptic Equations of Second Order with Discontinuous CoefficientsNov 17 2013In this paper, we consider elliptic boundary value problems with discontinuous coefficients and obtain the asymptotic optimal error estimate $\|u-u_k\|_{1,\Omega}\leqslant Ch|\ln h|^{1/2}\|u\|_{2,\Omega_1+\Omega_2}$ for triangle linear elements.

An improved upper bound for the number of distinct eigenvalues of a matrix after perturbationJul 04 2016An upper bound for the number of distinct eigenvalues of a perturbed matrix has been recently established by P. E. Farrell [1, Theorem 1.3]. The estimate is the central result in [1] and can be applied to estimate the number of Krylov iterations required ... More

Sinai-Ruelle-Bowen measures for piecewise hyperbolic maps with two directions of instability in three-dimensional spacesFeb 19 2015A class of piecewise $C^2$ Lozi-like maps in three-dimensional Euclidean spaces is introduced, and the existence of Sinai-Ruelle-Bowen measures is studied, where the dimension of the instability is equal to two. Further, an example with computer simulations ... More

Integral-type operators from Hardy space to Bloch space on the upper half-planeDec 07 2012The boundedness of compactness of integral-type operators from Hardy space to Bloch space on the upper half-plane $\Pi_+=\{z\in\mathbb{C}:Imz>0\}$ are characterized.

Best Polynomial Approximation on the Unit Sphere and the Unit BallFeb 23 2014This is a survey on best polynomial approximation on the unit sphere and the unit ball. The central problem is to describe the approximation behavior of a function by polynomials via smoothness of the function. A major effort is to identify a correct ... More

The Bernstein inequality for slice regular polynomialsFeb 27 2016In this paper, we give an alternative proof of the Bernstein inequality for slice regular polynomials. We also establish the Erd\"os-Lax inequality for a subclass of quaternion polynomials in terms of the convex combination identity for slice regular ... More

Homogeneous fibrations on log Calabi-Yau varietiesNov 06 2016We prove a structure theorem for the Albanese maps of varieties with Q-linearly trivial log canonical divisors. Our start point is the action of a nonlinear algebraic group on a projective variety.

A new expression for the Moore-Penrose inverse of a class of matricesDec 04 2016An expression for the Moore-Penrose inverse of a matrix of the form M = XNY , where X and Y are nonsingular, has been recently established by Castro-Gonz\'alez et al. [1, Theorem 2.2]. The expression plays an essential role in developing explicit expressions ... More

On some generalized Rapoport-Zink spacesNov 28 2016We enlarge the class of Rapoport-Zink spaces of Hodge type by modifying the centers of the associated $p$-adic reductive groups. These such-obtained Rapoport-Zink spaces are called of abelian type. The class of Rapoport-Zink spaces of abelian type is ... More

Approximation and orthogonality in Sobolev spaces on a triangleApr 26 2016Approximation by polynomials on a triangle is studied in the Sobolev space $W_2^r$ that consists of functions whose derivatives of up to $r$-th order have bounded $L^2$ norm. The first part aims at understanding the orthogonal structure in the Sobolev ... More

Backward Doubly Stochastic Equations with Jumps and Comparison TheoremsJan 17 2016In this work we mainly prove the existence and pathwise uniqueness of solutions to general backward doubly stochastic differential equations with jumps appearing in both forward and backward integral parts. Several comparison theorems under some weak ... More

Bloch type spaces on the unit ball of a Hilbert spaceNov 30 2016In this article, we initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to ... More

Geometric function theory for certain slice regular functionsNov 30 2016Dec 01 2016In this paper, we shall study the geometric function theory for slice regular functions of a quaternionic variable. Specially, we give some coefficient estimates for slice regular functions among which a version of the Bieberbach theorem and the Fekete-Szeg\"{o} ... More

Hybrid Jacobian and Gauss-Seidel proximal block coordinate update methods for linearly constrained convex programmingAug 13 2016Recent years have witnessed the rapid development of block coordinate update (BCU) methods, which are particularly suitable for problems involving large-sized data and/or variables. In optimization, BCU first appears as the coordinate descent method that ... More

Singular integrals of stable subordinatorJan 24 2018It is well known that $\int_{0}^{1} t^{-\theta} d t<\infty$ for $\theta \in (0,1)$ and $\int_{0}^{1} t^{-\theta} d t=\infty$ for $\theta \in [1,\infty)$. Since $t$ can be taken as an $\alpha$-stable subordinator with $\alpha=1$, it is natural to ask whether ... More

Parton distributions and $\cos 2φ_h$ asymmetry induced by anomalous photon-quark couplingFeb 07 2018In the spectator models of the nucleon with scalar and axial-vector diquarks, we show that the effect of Pauli coupling in photon-quark vertex to the parton distribution functions (PDFs) of nucleon and azimuthal asymmetry in the unpolarized semi-inclusive ... More

Real basis functions of polyhedral groupsNov 20 2016The basis of the identity representation of a polyhedral group is able to describe functions with symmetries of a platonic solid, i.e., 3-D objects which geometrically obey the cubic symmetries. However, to describe the dynamic of assembles of heterogeneous ... More

Molecular simulations minimally restrained by experimental dataDec 27 2018Mar 30 2019One popular approach to incorporating experimental data into molecular simulations is to restrain the ensemble average of observables to their experimental values. Here I derive equations for the equilibrium distributions generated by restrained ensemble ... More

Social Interactions in Large Networks: A Game Theoretic ApproachOct 27 2016This paper studies social interactions in a game theoretic model with players in a large social network. We consider observations from one single equilibrium of a large network game with asymmetric information, in which each player chooses an action from ... More

Coherence measures based on sandwiched Rényi relative entropyAug 14 2018Sep 16 2018Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory. Baumgratz, Cramer, and Plenio established a rigorous framework (BCP framework) for quantifying coherence [T. Baumgratz, M. Cramer, and M. B. Plenio, ... More

Finite $p$-groups of birational automorphisms and characterizations of rational varietiesSep 25 2018We study finite $p$-subgroups of birational automorphism groups. By virtue of boundedness theorem of Fano varieties, we prove that there exists a constant $R(n)$ such that a rationally connected variety of dimension $n$ over an algebraically closed field ... More

Regain Sliding super point from distributed edge routers by GPUMar 29 2018Sliding super point is a special host defined under sliding time window with which there are huge other hosts contact. It plays important roles in network security and management. But how to detect them in real time from nowadays high-speed network which ... More

A Brief Review of Ferroelectric Control of Magnetoresistance in Organic Spin ValvesOct 13 2017Magnetoelectric coupling has been a trending research topic in both organic and inorganic materials and hybrids. The concept of controlling magnetism using an electric field is particularly appealing in energy efficient applications. In this spirit, ferroelectricity ... More

Two-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluidsOct 18 2004Jan 19 2005Based on Sirovich's two-fluid kinetic theory and a dodecagonal discrete velocity model, a two-dimensional 61-velocity finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids is formulated. Previous constraints, ... More

Scattering of signal in vertical granular chain with impuritiesFeb 03 2003Mar 07 2003We investigate the scattering process of impulse from impurities in vertical granular chain system under gravity. Most of the studies are focused on the case of light impurities. The reflection rates follow power laws with the impuity depth. There is ... More

A Decision Calculus for Belief Functions in Valuation-Based SystemsMar 13 2013Valuation-based system (VBS) provides a general framework for representing knowledge and drawing inferences under uncertainty. Recent studies have shown that the semantics of VBS can represent and solve Bayesian decision problems (Shenoy, 1991a). The ... More