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Disk Formation in Magnetized Clouds Enabled by the Hall EffectJan 15 2011Stars form in dense cores of molecular clouds that are observed to be significantly magnetized. A dynamically important magnetic field presents a significant obstacle to the formation of protostellar disks. Recent studies have shown that magnetic braking ... More

Nonideal MHD Effects and Magnetic Braking Catastrophe in Protostellar Disk FormationJun 14 2011Dense, star-forming, cores of molecular clouds are observed to be significantly magnetized. A realistic magnetic field of moderate strength has been shown to suppress, through catastrophic magnetic braking, the formation of a rotationally supported disk ... More

Rings and gaps produced by variable magnetic disk winds and avalanche accretion streams: I. Axisymmetric resistive MHD simulationsFeb 06 2017Mar 29 2017Rings and gaps are being observed in an increasing number of disks around young stellar objects. We illustrate the formation of such radial structures through idealized, 2D (axisymmetric) resistive MHD simulations of coupled disk-wind systems threaded ... More

Structure and Physical Conditions in MHD Jets from Young StarsDec 28 2001We have constructed the foundations to a series of theoretical diagnostic methods to probe the jet phenomenon in young stars as observed at various optical forbidden lines. We calculate and model in a self-consistent manner the physical and radiative ... More

Magnetospheric launching in resistive MHD simulationsOct 26 2011We perform numerical simulations in the close vicinity of a slowly rotating young stellar object. Using our own resistive MHD Zeus347 code in 2D axisymmetry, magnetospheric interaction experiences four robust stages in evolution. Quasi-stationary axial ... More

RW Aur A from the X-Wind Point of View: General FeaturesSep 11 2012In this paper, the RW Aur A microjet is studied from the point of view of X-wind models. The archived HST/STIS spectra of optical forbidden lines [O I], [S II], and [N II] from RW Aur A, taken in Cycle 8 with seven parallel slits along the jet axis, spaced ... More

Molecular Jet of IRAS 04166+2706Oct 31 2013The molecular outflow from IRAS 04166+2706 was mapped with the Submillimeter Array (SMA) at 350 GHz continuum and CO J = 3$-$2 at an angular resolution of ~1 arcsec. The field of view covers the central arc-minute, which contains the inner four pairs ... More

Magnetospheric Accretion and Ejection of Matter in Resistive Magnetohydrodynamic SimulationsDec 29 2011Feb 18 2013The ejection of matter in the close vicinity of a young stellar object is investigated, treating the accretion disk as a gravitationally bound reservoir of matter. By solving the resistive MHD equations in 2D axisymmetry using our version of the Zeus-3D ... More

Resistive MHD Simulations of Star-Disk-Jet SystemAug 18 2009Stellar magnetosphere and accretion disk interact, and a result should be outflow launched from the innermost vicinity of a protostellar object. We simulated physical conditions in this region by resistive MHD simulations. Outflows resembling the observed ... More

Disk Formation Enabled by Enhanced ResistivityJun 04 2010Disk formation in magnetized cloud cores is hindered by magnetic braking. Previous work has shown that for realistic levels of core magnetization, the magnetic field suppresses the formation of rotationally supported disks during the protostellar mass ... More

Does Magnetic Field-Rotation Misalignment Solve the Magnetic Braking Catastrophe in Protostellar Disk Formation?Jan 25 2013Stars form in dense cores of molecular clouds that are observed to be significantly magnetized. In the simplest case of a laminar (non-turbulent) core with the magnetic field aligned with the rotation axis, both analytic considerations and numerical simulations ... More

The effects of viscosity on the circumplanetary disksJul 18 2012The effects of viscosity on the circumplanetary disks residing in the vicinity of protoplanets are investigated through two-dimensional hydrodynamical simulations with the shearing sheet model. We find that viscosity can affect properties of the circumplanetary ... More

Formation of Isothermal Disks around Protoplanets. I. Introductory Three-Dimensional Global Simulations for Sub-Neptune-Mass ProtoplanetsJun 04 2014The regular satellites found around Neptune ($\approx 17~M_{\Earth}$) and Uranus ($\approx 14.5~M_{\Earth}$) suggest that past gaseous circumplanetary disks may have co-existed with solids around sub-Neptune-mass protoplanets ($< 17~M_{\Earth}$). These ... More

Protostellar Accretion Flows Destabilized by Magnetic Flux RedistributionMay 18 2012Magnetic flux redistribution lies at the heart of the problem of star formation in dense cores of molecular clouds that are magnetized to a realistic level. If all of the magnetic flux of a typical core were to be dragged into the central star, the stellar ... More

On the Role of Pseudodisk Warping and Reconnection in Protostellar Disk Formation in Turbulent Magnetized CoresAug 11 2014The formation of rotationally supported protostellar disks is suppressed in ideal MHD in non-turbulent cores with aligned magnetic field and rotation axis. A promising way to resolve this so-called "magnetic braking catastrophe" is through turbulence. ... More

Ejection History of the IRAS 04166+2706 Molecular JetFeb 16 2019The high-velocity molecular jet driven by Class 0 protostar IRAS 04166+2706 exhibits a unique saw-tooth velocity pattern. It consists of a series of well-aligned symmetric knots with similar averaged speeds, whose speeds at peaks of emission decreases ... More

Effects of Magnetic Field and FUV Radiation on the Structures of Bright-rimmed CloudsJan 16 2013The bright-rimmed cloud SFO 22 was observed with the 45 m telescope of Nobeyama Radio Observatory in the ^{12}CO (J = 1-0), ^{13}CO (J = 1-0), and C^{18}O (J = 1-0) lines, where well-developed head-tail structure and small line widths were found. Such ... More

A Two-Temperature Model of Magnetized Protostellar OutflowsDec 08 2015We explore kinematics and morphologies of molecular outflows driven by young protostars using magnetohydrodynamic simulations in the context of the unified wind model of Shang et al. The model explains the observed high-velocity jet and low-velocity shell ... More

The formation of rings and gaps in magnetically coupled disk-wind systems: ambipolar diffusion and reconnectionDec 18 2017Mar 16 2018Radial substructures in circumstellar disks are now routinely observed by ALMA. There is also growing evidence that disk winds drive accretion in such disks. We show through 2D (axisymmetric) simulations that rings and gaps develop naturally in magnetically ... More

A Hydrochemical Hybrid Code for Astrophysical Problems. I. Code Verification and Benchmarks for Photon-Dominated Region (PDR)Jun 01 2015A two dimensional hydrochemical hybrid code, KM2, is constructed to deal with astrophysical problems that would require coupled hydrodynamical and chemical evolution. The code assumes axisymmetry in cylindrical coordinate system, and consists of two modules: ... More

Correlation functions in the holographic replica methodOct 08 2012Disorder has long been a difficult subject in condensed matter systems and the The replica method is a well-known tool in this field. Implementing the replica method the AdS/CFT correspondence has been proposed and discussed in literatures. We point out, ... More

Degree Distributions in General Random Intersection GraphsOct 04 2009We study a variant of the standard random intersection graph model ($G(n,m,F,H)$) in which random weights are assigned to both vertex types in the bipartite structure. Under certain assumptions on the distributions of these weights, the degree of a vertex ... More

Emergence in Random Noisy EnvironmentsSep 18 2009We investigate the emergent behavior of four types of generic dynamical systems under random environmental perturbations. Sufficient conditions for nearly-emergence in various scenarios are presented. Recent fundamental works of F. Cucker and S. Smale ... More

Knots with Prism Manifold SurgeriesSep 05 2019Ballinger et al. have determined the list of all prism manifolds that are possibly realizable by Dehn surgeries on knots in $S^3$. In this paper, we explicitly find braid words of primitive/Seifert-fibered knots on which surface slope surgeries yield ... More

More on the normalized Laplacian Estrada indexJan 07 2014Let $G$ be a simple graph of order $N$. The normalized Laplacian Estrada index of $G$ is defined as $NEE(G)=\sum_{i=1}^Ne^{\lambda_i}$, where $\lambda_1,\lambda_2,\cdots,\lambda_N$ are the normalized Laplacian eigenvalues of $G$. In this paper, we give ... More

The Distant-l Chromatic Number of Random Geometric GraphsSep 21 2009A random geometric graph $G_n$ is given by picking $n$ vertices in $\mathbb{R}^d$ independently under a common bounded probability distribution, with two vertices adjacent if and only if their $l^p$-distance is at most $r_n$. We investigate the distant-$l$ ... More

Topological Properties of an Exponential Random Geometric Graph ProcessDec 08 2009In this paper, we consider a one-dimensional random geometric graph process with the inter-nodal gaps evolving according to an exponential AR(1) process, which may serve as a mobile wireless network model. The transition probability matrix and stationary ... More

On the Degree Sequence of Random Geometric DigraphsSep 18 2009A random geometric digraph $G_n$ is constructed by taking $\{X_1,X_2,... X_n\}$ in $\mathbb{R}^2$ independently at random with a common bounded density function. Each vertex $X_i$ is assigned at random a sector $S_i$ of central angle $\alpha$ with inclination ... More

Exact Algorithms With Worst-case Guarantee For Scheduling: From Theory to PracticeDec 06 2017This PhD thesis summarizes research works on the design of exact algorithms that provide a worst-case (time or space) guarantee for NP-hard scheduling problems. Both theoretical and practical aspects are considered with three main results reported. The ... More

Leader-following Consensus Problems with a Time-varying Leader under Measurement NoisesSep 24 2009In this paper, we consider a leader-following consensus problem for networks of continuous-time integrator agents with a time-varying leader under measurement noises. We propose a neighbor-based state-estimation protocol for every agent to track the leader, ... More

On the skew-spectral distribution of randomly oriented graphsFeb 08 2017The randomly oriented graph $G_{n,p}^{\sigma}$ is an Erd\H{o}s-R\'enyi random graph $G_{n,p}$ with a random orientation $\sigma$, which assigns to each edge a direction so that $G_{n,p}^{\sigma}$ becomes a directed graph. Denote by $S_n$ the skew-adjacency ... More

Multi-agent Coordination in Directed Moving Neighborhood Random NetworksSep 18 2009In this paper, we consider the consensus problem of dynamical multiple agents that communicate via a directed moving neighborhood random network. Each agent performs random walk on a weighted directed network. Agents interact with each other through random ... More

Finite-time Consensus for Nonlinear Multi-agent Systems with Fixed TopologiesSep 17 2009In this paper, we study finite-time state consensus problems for continuous nonlinear multi-agent systems. Building on the theory of finite-time Lyapunov stability, we propose sufficient criteria which guarantee the system to reach a consensus in finite ... More

Random dynamics of two-dimensional stochastic second grade fluidsMar 26 2017Apr 16 2018In this paper, we consider a stochastic model of incompressible non-Newtonian fluids of second grade on a bounded domain of $\mathbb{R}^2$ with multiplicative noise. We first show that the solutions to the stochastic equations of second grade fluids generate ... More

Cauchy problem for multiscale conservation laws: Application to structured cell populationsOct 11 2010In this paper, we study a vector conservation law that models the growth and selection of ovarian follicles. During each ovarian cycle, only a definite number of follicles ovulate, while the others undergo a degeneration process called atresia. This work ... More

Systemic Risk and Interbank LendingNov 21 2016We propose a simple model of inter-bank lending and borrowing incorporating a game feature where the evolution of monetary reserve is described by a system of coupled Feller diffusions. The optimization subject to the quadratic cost reflects the desire ... More

A vanishing conjecture: the GL_n caseFeb 28 2019In this article we propose a vanishing conjecture for a certain class of $\ell$-adic complexes on a reductive group G, which can be regraded as a generalization of the acyclicity of the Artin-Schreier sheaf. We show that the vanishing conjecture contains, ... More

On a conjecture of Braverman-KazhdanSep 12 2019In this article we prove a conjecture of Braverman and Kazhdan in \cite{BK1} on cohomology vanishing properties of $\gamma$-sheaves on reductive groups in both $\ell$-adic and de Rham settings. We do so by establishing a vanishing conjecture proposed ... More

Larger is Better: The Effect of Learning Rates Enjoyed by Stochastic Optimization with Progressive Variance ReductionApr 17 2017In this paper, we propose a simple variant of the original stochastic variance reduction gradient (SVRG), where hereafter we refer to as the variance reduced stochastic gradient descent (VR-SGD). Different from the choices of the snapshot point and starting ... More

A Combinatorial Necessary and Sufficient Condition for Cluster ConsensusSep 03 2015In this technical note, cluster consensus of discrete-time linear multi-agent systems is investigated. A set of stochastic matrices $\mathcal{P}$ is said to be a cluster consensus set if the system achieves cluster consensus for any initial state and ... More

On two dimensional non-abelian chiral lattice gauge theories in Ginsparg-Wilson formalismJan 16 2013Apr 10 2013Defining chiral lattice gauge theories in the Ginsparg-Wilson formalism is complicated by the so-called fermion measure problem. It has been proven for the abelian theories that smooth well-behaved fermion measure exists if and only if the anomaly-free ... More

Synchronization in Networks of Coupled Harmonic Oscillators with Stochastic Perturbation and Time DelaysSep 28 2009In this paper, we investigate synchronization of coupled second-order linear harmonic oscillators with random noises and time delays. The interaction topology is modeled by a weighted directed graph and the weights are perturbed by white noise. On the ... More

Cycles in Random Bipartite GraphsOct 13 2013In this paper we study cycles in random bipartite graph $G(n,n,p)$. We prove that if $p\gg n^{-2/3}$, then $G(n,n,p)$ a.a.s. satisfies the following. Every subgraph $G'\subset G(n,n,p)$ with more than $(1+o(1))n^2p/2$ edges contains a cycle of length ... More

Joint Probability Generating Function for Degrees of Active/Passive Random Intersection GraphsOct 24 2009Correlations of active and passive random intersection graphs are studied in this letter. We present the joint probability generating function for degrees of $G^{active}(n,m,p)$ and $G^{passive}(n,m,p)$, which are generated by a random bipartite graph ... More

Q-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformationsNov 15 1998We study the additional symmetries associated with the $q$-deformed Kadomtsev-Petviashvili ($q$-KP) hierarchy. After identifying the resolvent operator as the generator of the additional symmetries, the $q$-KP hierarchy can be consistently reduced to ... More

Percolation Threshold for Competitive Influence in Random NetworksApr 11 2019In this paper, we propose a new averaging model for modeling the competitive influence of K candidates among n voters in an election process. For such an influence propagation model, we address the question of how many seeded voters a candidate need to ... More

Percolation Threshold for Competitive Influence in Random NetworksApr 11 2019Apr 14 2019In this paper, we propose a new averaging model for modeling the competitive influence of K candidates among n voters in an election process. For such an influence propagation model, we address the question of how many seeded voters a candidate needs ... More

X-winds in ActionSep 19 2007The interaction of accretion disks with the magnetospheres of young stars can produce X-winds and funnel flows. With the assumption of axial symmetry and steady state flow, the problem can be formulated in terms of quantities that are conserved along ... More

First Detection of Equatorial Dark Dust Lane in a Protostellar Disk at Submillimeter WavelengthApr 28 2017In the earliest (so-called "Class 0") phase of sunlike (low-mass) star formation, circumstellar disks are expected to form, feeding the protostars. However, such disks are difficult to resolve spatially because of their small sizes. Moreover, there are ... More

ALMA observations of the very young Class 0 protostellar system HH 211-mms: a 30-au dusty disk with a disk-wind traced by SO?Jul 14 2018HH 211-mms is one of the youngest Class 0 protostellar systems in Perseus at ~ 235 pc away. We have mapped its central region at up to ~ 7 AU (0.03") resolution. A dusty disk is seen deeply embedded in a flattened envelope, with an intensity jump in dust ... More

The [Ne III] Jet of DG Tau and its Ionization ScenariosNov 07 2016Forbidden neon emission from jets of low-mass young stars can be used to probe the underlying high-energy processes in these systems. We analyze spectra of the jet of DG Tau obtained with the Very Large Telescope/X-Shooter spectrograph in 2010. [Ne III] ... More

Percolation Threshold for Competitive Influence in Random NetworksApr 11 2019Apr 21 2019In this paper, we propose a new averaging model for modeling the competitive influence of $K$ candidates among $n$ voters in an election process. For such an influence propagation model, we address the question of how many seeded voters a candidate needs ... More

Time Evolution of 3D Disk Formation with Misaligned Magnetic Field and Rotation AxesDec 30 2018Distinguishing diagnostic observational signatures produced by MHD models is essential in understanding the physics for the formation of protostellar disks in the ALMA era. Developing suitable tools along with time evolution will facilitate better identification ... More

ALMA Results of the Pseudodisk, Rotating disk, and Jet in Continuum and HCO+ in the Protostellar System HH 212Mar 24 2014HH 212 is a nearby (400 pc) Class 0 protostellar system showing several components that can be compared with theoretical models of core collapse. We have mapped it in 350 GHz continuum and HCO+ J=4-3 emission with ALMA at up to ~ 0.4" resolution. A flattened ... More

The Irradiation Origin of Beryllium Radioisotopes and Other Short-lived RadionuclidesDec 21 2005Two explanations exist for the short-lived radionuclides present in the solar system when the CAIs first formed. They originated either from the ejecta of a supernova or by the in situ irradiation of nebular dust by energetic particles. With a half-life ... More

Magnetic Flux Expulsion in Star FormationMay 28 2011Stars form in dense cores of magnetized molecular clouds. If the magnetic flux threading the cores is dragged into the stars, the stellar field would be orders of magnitude stronger than observed. This well-known "magnetic flux problem" demands that most ... More

Protostellar Disk Formation Enabled by Removal of Small Dust GrainsFeb 08 2016It has been shown that a realistic level of magnetization of dense molecular cloud cores can suppress the formation of a rotationally supported disk (RSD) through catastrophic magnetic braking in the axisymmetric ideal MHD limit. In this study, we present ... More

Formation and Atmosphere of Complex Organic Molecules of the HH 212 Protostellar DiskJun 19 2017HH 212 is a nearby (400 pc) Class 0 protostellar system recently found to host a "hamburger"-shaped dusty disk with a radius of ~ 60 AU, deeply embedded in an infalling-rotating flattened envelope. We have spatially resolved this envelope-disk system ... More

Jet Motion, Internal Working Surfaces, and Nested Shells in the Protostellar System HH 212Mar 25 2015HH 212 is a nearby (400 pc) highly collimated protostellar jet powered by a Class 0 source in Orion. We have mapped the inner 80" (~ 0.16 pc) of the jet in SiO (J=8-7) and CO (J=3-2) simultaneously at ~ 0.5 resolution with the Atacama Millimeter/Submillimeter ... More

Fine-Structure Line Emission from the Outflows of Young Stellar ObjectsApr 27 2010The flux and line shape of the fine-structure transitions of \NeII\ and \NeIII\ at 12.8 and 15.55\,$\mu$m and of the forbidden transitions of \OI\ $\lambda6300$ are calculated for young stellar objects with a range of mass-loss rates and X-ray luminosities ... More

Velocity-Resolved [Ne III] from X-Ray Irradiated Sz 102 MicrojetsMar 24 2014Apr 20 2014Neon emission lines are good indicators of high-excitation regions close to a young stellar system because of their high ionization potentials and large critical densities. We have discovered [Ne III]{\lambda}3869 emission from the microjets of Sz 102, ... More

The formation of rings and gaps in wind-launching non-ideal MHD disks: three-dimensional simulationsOct 04 2018Dec 16 2018Previous axisymmetric investigations in two dimensions (2D) have shown that rings and gaps develop naturally in non-ideal magnetohydrodynamic (MHD) disk-wind systems, especially in the presence of ambipolar diffusion (AD). Here we extend these 2D simulations ... More

A Rotating Protostellar Jet Launched from the Innermost Disk of HH 212Jun 20 2017The central problem in forming a star is the angular momentum in the circumstellar disk which prevents material from falling into the central stellar core. An attractive solution to the "angular momentum problem" appears to be the ubiquitous (low-velocity ... More

Kostant-Sekiguchi homeomorphismsMay 17 2018Nov 30 2018We lift the Kostant-Sekiguchi correspondence for classical groups to an equivariant homeomorphism between real and symmetric nilpotent cones.

Limit laws of the coefficients of polynomials with only unit rootsJan 10 2013We consider sequences of random variables whose probability generating functions are polynomials all of whose roots lie on the unit circle. The distribution of such random variables has only been sporadically studied in the literature. We show that the ... More

Modified Micropipline Architecture for Synthesizable Asynchronous FIR Filter DesignMar 15 2016The use of asynchronous design approaches to construct digital signal processing (DSP) systems is a rapidly growing research area driven by a wide range of emerging energy constrained applications such as wireless sensor network, portable medical devices ... More

Squeezing induced transition of long-time decay rateJun 01 2010We investigate the nonclassicality of several kinds of nonclassical optical fields such as the pure or mixed single photon-added coherent states and the cat states in the photon-loss or the dephasing channels by exploring the entanglement potential as ... More

Visualising rate of change: application to age-specific fertilityJun 17 2014Dec 09 2015Visualisation methods help in the discovery of characteristics that might not have been apparent using mathematical models and summary statistics, and yet it has not received much attention in demography with the exceptions of scatter plot and Lexis surface. ... More

Consensus reaching in swarms ruled by a hybrid metric-topological distanceSep 26 2014May 22 2017Recent empirical observations of three-dimensional bird flocks and human crowds have challenged the long-prevailing assumption that a metric interaction distance rules swarming behaviors. In some cases, individual agents are found to be engaged in local ... More

Quantum Cosmology of Classically Constrained GravityNov 13 2005In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these new solutions. ... More

Classically Constrained Gauge Fields and GravityJun 06 2005Nov 06 2005We study gauge and gravitational field theories in which the gauge fixing conditions are imposed as constraints on classical fields. Quantization of fluctuations can be performed in a BRST invariant manner, while the main novelty is that the classical ... More

Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermionsJan 22 2009Feb 10 2009We study 't Hooft anomaly matching in lattice models with strong Yukawa or multi-fermion interactions. Strong non-gauge interactions among the mirror fermions in a vectorlike lattice gauge theory are introduced with the aim to obtain, in a strong-coupling ... More

Quadratic Transportation Cost Inequalities Under Uniform Distance For Stochastic Reaction Diffusion Equations Driven by Multiplicative Space-Time White NoiseApr 30 2019In this paper, we established a quadratic transportation cost inequality for solutions of stochastic reaction diffusion equations driven by multiplicative space-time white noise based on a new inequality we proved for the moments (under the uniform norm) ... More

Reconciling forecasts of infant mortality rates at national and sub-national levels: Grouped time-series methodsAug 31 2016Mortality rates are often disaggregated by different attributes, such as sex, state, education, religion or ethnicity. Forecasting mortality rates at the national and sub-national levels plays an important role in making social policies associated with ... More

Alternating Synthetic and Real Gradients for Neural Language ModelingFeb 27 2019Training recurrent neural networks (RNNs) with backpropagation through time (BPTT) has known drawbacks such as being difficult to capture longterm dependencies in sequences. Successful alternatives to BPTT have not yet been discovered. Recently, BP with ... More

Relativistic corrections to the energy spectra of completely confined particlesJun 08 1998An analytical expression for the relativistic corrections to the energy spectra of particles completely confined in an one-dimensional limited length in real space is given, based upon the wave property of particles, the relativistic energy-momentum relation ... More

A KAM-Theorem for Persistence of Quasi-periodic Invariant Tori in Bifurcation Theory of Equilibrium PointsApr 03 2018Oct 17 2018In this paper, we establish a KAM-theorem for ordinary differential equations with finitely differentiable vector fields and multiple degeneracies. The theorem can be used to deal with the persistence of quasi-periodic invariant tori in multiple Hopf ... More

Nonparametric inference in generalized functional linear modelsMay 26 2014Jul 30 2015We propose a roughness regularization approach in making nonparametric inference for generalized functional linear models. In a reproducing kernel Hilbert space framework, we construct asymptotically valid confidence intervals for regression mean, prediction ... More

Bayesian Ultrahigh-Dimensional Screening Via MCMCFeb 05 2013Mar 12 2013We explore the theoretical and numerical property of a fully Bayesian model selection method in sparse ultrahigh-dimensional settings, i.e., $p\gg n$, where $p$ is the number of covariates and $n$ is the sample size. Our method consists of (1) a hierarchical ... More

A Bayesian Splitotic Theory For Nonparametric ModelsAug 17 2015We develop a set of scalable Bayesian inference procedures for a general class of nonparametric regression models based on embarrassingly parallel MCMC. Specifically, we first perform independent nonparametric Bayesian inference on each subset split from ... More

Competition of different evaluation schemes in the continuous variable gameMar 13 2013Jun 25 2013An asymmetric generalization of classical Cournot's duopoly game was introduced and the simulation scheme of its quantized version was analyzed. In this scheme, the player assigned by a 'classical' measurement scheme always wins the player assigned by ... More

A MATLAB Program for Quantitative Simulation of Self-assembly of Polymer Blend Films with Nano-scaled FeaturesJul 07 2010A MATLAB program has been developed for simulation of polymer blend self-assembly with nano-scaled features. The Cahn-Hilliard equation is implemented to calculate the free energy profile of the polymer blends. The Flory-Huggins type of energy is used ... More

Informational work storage in quantum thermodynamicsSep 10 2017Jan 24 2018We present a critical examination of the difficulties with the quantum versions of a lifted weight that are widely used as work storage systems in quantum thermodynamics. To overcome those difficulties, inspired by the relations between information and ... More

Approximations of Stochastic Navier-Stokes EquationsSep 27 2017In this paper we show that solutions of two-dimensional stochastic Navier-Stokes equations driven by Brownian motion can be approximated by stochastic Navier-Stokes equations forced by pure jump noise/random kicks.

Lattice chirality and the decoupling of mirror fermionsJun 07 2007Sep 04 2007We show, using exact lattice chirality, that partition functions of lattice gauge theories with vectorlike fermion representations can be split into "light" and "mirror" parts, such that the "light" and "mirror" representations are chiral. The splitting ... More

Tuning parameter selection rules for nuclear norm regularized multivariate linear regressionJan 19 2019We consider the tuning parameter selection rules for nuclear norm regularized multivariate linear regression (NMLR) in high-dimensional setting. High-dimensional multivariate linear regression is widely used in statistics and machine learning, and regularization ... More

Visualising rate of change: application to age-specific fertilityJun 17 2014Jan 25 2018Visualisation methods help in the discovery of characteristics that might not have been apparent using mathematical models and summary statistics. However, visualisation methods have not received much attention in demography, with the exceptions of scatter ... More

Local and global asymptotic inference in smoothing spline modelsDec 30 2012Nov 26 2013This article studies local and global inference for smoothing spline estimation in a unified asymptotic framework. We first introduce a new technical tool called functional Bahadur representation, which significantly generalizes the traditional Bahadur ... More

Delay Evaluation of OpenFlow Network Based on Queueing ModelAug 23 2016As one of the most popular south-bound protocol of software-defined networking(SDN), OpenFlow decouples the network control from forwarding devices. It offers flexible and scalable functionality for networks. These advantages may cause performance issues ... More

Effects of Dimension-5 Operators in $E_6$ Grand Unified TheoriesFeb 12 2014Aug 18 2014The effective dimension-5 operators can be induced by quantum gravity or inspired by string and M theories. They have important impacts on grand unified theories. We investigate the group theoretic nature of them for the well known E(6) model. Considering ... More

Nonparametric Bernstein-von Mises Phenomenon: A Tuning Prior PerspectiveNov 13 2014Jul 16 2015Statistical inference on infinite-dimensional parameters in a Bayesian framework is investigated. The main contribution of this paper is to demonstrate that nonparametric Bernstein-von Mises theorem can be established in a {\em general} class of nonparametric ... More

Computational Limits of Divide-and-Conquer MethodDec 31 2015This theoretical note explores statistical versus computational trade-off to address a basic question in the application of divide-and-conquer method: what is the minimal computational cost in obtaining statistical optimality? In smoothing spline setup, ... More

Gaussian Approximation of General Nonparametric Posterior DistributionsNov 13 2014Nov 15 2016In a general class of Bayesian nonparametric models, we prove that the posterior distribution can be asymptotically approximated by a Gaussian process. Our results apply to nonparametric exponential family that contains both Gaussian and non-Gaussian ... More

Consensus reaching in swarms ruled by a hybrid metric-topological distanceSep 26 2014Oct 03 2014Recent empirical observations of three-dimensional bird flocks and human crowds have challenged the long-prevailing assumption that a metric interaction distance rules swarming behaviors. In some cases, individual agents are found to be engaged in local ... More

Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing systemMar 23 2010In this paper, we study a scalar conservation law that models a highly re-entrant manufacturing system as encountered in semi-conductor production. As a generalization of \cite{CKWang}, the velocity function possesses both the local and nonlocal character. ... More

A low-redshift galaxy cluster X-ray Temperature Function incorporating Suzaku dataSep 05 2008We present the first results of a survey of 14 low redshift galaxy clusters using Suzaku. Although luminous (L_x> 1\times 10^{43} erg s^{-1} (0.1-2.4 keV)), these clusters have no prior pointed X-ray data. Together with 47 other systems they form a flux ... More

A robust functional time series forecasting methodJan 17 2019Univariate time series often take the form of a collection of curves observed sequentially over time. Examples of these include hourly ground-level ozone concentration curves. These curves can be viewed as a time series of functions observed at equally ... More

Bootstrap methods for stationary functional time seriesOct 03 2016Bootstrap methods for estimating the long-run covariance of stationary functional time series are considered. We introduce a versatile bootstrap method that relies on functional principal component analysis, where principal component scores can be bootstrapped ... More

Mortality and life expectancy forecasting for a group of populations in developed countries: A multilevel functional data methodJun 16 2016A multilevel functional data method is adapted for forecasting age-specific mortality for two or more populations in developed countries with high-quality vital registration systems. It uses multilevel functional principal component analysis of aggregate ... More

A data-driven robust optimization approach to scenario-based stochastic model predictive controlJul 13 2018Jan 14 2019Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely on massive scenarios ... More