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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

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

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

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

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

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

Intermediated ImplementationOct 26 2018May 10 2019We examine problems of "intermediated implementation," in which a single principal can only regulate limited aspects of the consumption bundles traded between intermediaries and agents with hidden characteristics. An example is sales, whereby retailers ... 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

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

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.

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.

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

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

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

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

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

Structure of spin excitations in heavily electron-doped Li0.8Fe0.2ODFeSe superconductorsAug 03 2016Jul 31 2017Heavily electron-doped iron-selenide (HEDIS) high-transition-temperature (high-$T_{\rm{c}}$) superconductors, which have no hole Fermi pockets, but have a notably high $T_{\rm{c}}$, have challenged the prevailing $s$$_\pm$ pairing scenario originally ... 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

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 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

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

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

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

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

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

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

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

The minimizers of the $p$-frame potentialJul 25 2019Aug 15 2019For any positive real number $p$, the $p$-frame potential of $N$ unit vectors $X:=\{\mathbf x_1,\ldots,\mathbf x_N\}\subset \mathbb R^d$ is defined as ${\rm FP}_{p,N,d}(X)=\sum_{i\neq j}|\langle \mathbf x_i,\mathbf x_j\rangle |^p$. In this paper, we focus ... 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

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

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

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

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

A Discrete Ricci Flow on Surfaces in Hyperbolic Background GeometryMay 19 2015In this paper, we generalize our results in \cite{GX3} to triangulated surfaces in hyperbolic background geometry, which means that all triangles can be embedded in the standard hyperbolic space. We introduce a new discrete Gaussian curvature by dividing ... 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

The minimizers of the $p$-frame potentialJul 25 2019Jul 30 2019For any positive real number $p$, the $p$-frame potential of $N$ unit vectors $X:=\{\mathbf x_1,\ldots,\mathbf x_N\}\subset \mathbb R^d$ is defined as ${\rm FP}_{p,N,d}(X)=\sum_{i\neq j}|\langle \mathbf x_i,\mathbf x_j\rangle |^p$. In this paper, we focus ... 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

The minimizers of the $p$-frame potentialJul 25 2019Aug 01 2019For any positive real number $p$, the $p$-frame potential of $N$ unit vectors $X:=\{\mathbf x_1,\ldots,\mathbf x_N\}\subset \mathbb R^d$ is defined as ${\rm FP}_{p,N,d}(X)=\sum_{i\neq j}|\langle \mathbf x_i,\mathbf x_j\rangle |^p$. In this paper, we focus ... 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

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

A combinatorial Yamabe problem on two and three dimensional manifoldsApr 22 2015Jan 13 2016In this paper, we introduce a new combinatorial curvature on two and three dimensional triangulated manifolds, which transforms in the same way as that of the smooth scalar curvature under scaling of the metric and could be used to approximate the Gauss ... More

On a combinatorial curvature for surfaces with inversive distance circle packing metricsJan 07 2017May 29 2018In this paper, we introduce a new combinatorial curvature on triangulated surfaces with inversive distance circle packing metrics. Then we prove that this combinatorial curvature has global rigidity. To study the Yamabe problem of the new curvature, we ... More

The minimizers of the $p$-frame potentialJul 25 2019For any positive real number $p$, the $p$-frame potential of $N$ unit vectors $X:=\{\mathbf x_1,\ldots,\mathbf x_N\}\subset \mathbb R^d$ is defined as ${\rm FP}_{p,N,d}(X)=\sum_{i\neq j}|\langle \mathbf x_i,\mathbf x_j\rangle |^p$. In this paper, we focus ... 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

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

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

Higher-order Processes with Parameterization over Names and ProcessesAug 10 2016Parameterization extends higher-order processes with the capability of abstraction and application (like those in lambda-calculus). This extension is strict, i.e., higher-order processes equipped with parameterization is computationally more powerful. ... More

Chinese Interpreting Studies: Genesis of a DisciplineDec 24 2014The growth of Chinese Interpreting Studies (CIS) has been robust over the past two decades; this is reflected in the total number of research papers produced. This paper takes a scientometric approach to assessing the production, themes and theoretical ... More

A Minimal Periods Algorithm with ApplicationsNov 17 2009Kosaraju in ``Computation of squares in a string'' briefly described a linear-time algorithm for computing the minimal squares starting at each position in a word. Using the same construction of suffix trees, we generalize his result and describe in detail ... More

A note on the freeness of spherical Hecke modules of unramified $U(2,1)$May 01 2016Let $G$ be the unramified $U(2,1) (E/F)$ and $K$ be a maximal compact open subgroup of $G$. For an irreducible smooth representation $\sigma$ of $K$ over $\overline{\mathbf{F}}_p$, under a technical assumption we show the compactly induced representation ... More

Rotated sphere packing designsAug 12 2016We propose a new class of space-filling designs called rotated sphere packing designs for computer experiments. The approach starts from the asymptotically optimal positioning of identical balls that covers the unit cube. Properly scaled, rotated, translated ... More

Searching for a New Source(s) of T-Violation in Spin Dependent Total Cross Section MeasurementsJun 16 2009We first re-prove with a more complete method that the the minimum standard model, with the inclusion of the CKM-matrix, requires the T-odd/P-odd total cross section of two spin-1/2 particles to vanish in all orders\cite{gxu}. Then we study the contribution ... More

Identifiability of restricted latent class models with binary responsesMar 14 2016Statistical latent class models are widely used in social and psychological researches, yet it is often difficult to establish the identifiability of the model parameters. In this paper we consider the identifiability issue of a family of restricted latent ... More

On Solving a Generalized Chinese Remainder Theorem in the Presence of Remainder ErrorsAug 30 2014Sep 06 2014In estimating frequencies given that the signal waveforms are undersampled multiple times, Xia and his collaborators proposed to use a generalized version of Chinese remainder Theorem (CRT), where the moduli are $dm_1, dm_2, \cdots, dm_k$ with $m_1, m_2, ... More

Reflected BSDE with monotonicity and general increasing in $y$, and non-Lipschitz conditions in $z$Nov 28 2006In this paper, we study the reflected BSDE with one continuous barrier, under the monotonicity and general increasing condition on $y$ and non Lipschitz condition on $z$. We prove the existence and uniqueness of the solution to these equation by approximation ... More

Taylor's power law: before and after 50 years of scientific scrutinyMay 07 2015Apr 16 2016Taylor's power law is one of the mostly widely known empirical patterns in ecology discovered in the 20th century. It states that the variance of species population density scales as a power-law function of the mean population density. Taylor's power ... More

Cosmological Model-independent Gamma-ray Bursts Calibration and its Cosmological Constraint to Dark EnergyMay 27 2010Apr 21 2012As so far, the redshift of Gamma-ray bursts (GRBs) can extend to $z\sim 8$ which makes it as a complementary probe of dark energy to supernova Ia (SN Ia). However, the calibration of GRBs is still a big challenge when they are used to constrain cosmological ... More

FRCAMB: An $f(R)$ Code for Anisotropies in the Microwave BackgroundJun 10 2015An $f(R)$ gravity model is proposed to realize a late time accelerated expansion of our Universe. To test the viability of an $f(R)$ gravity model through cosmic observations, the background evolution and the Einstein-Boltzmann equation should be solved ... More

Constraint on $f(R)$ Gravity through the Redshift Space DistortionNov 17 2014Mar 24 2015In this paper, a specific family of $f(R)$ models that can produce the $\Lambda$CDM background expansion history is constrained by using the currently available geometric and dynamic probes. The scale dependence of the growth rate $f(z,k)$ in this specific ... More

Spherical Collapse of a Unified Dark Fluid with Constant Adiabatic Sound SpeedFeb 27 2013In this paper, we test the spherical collapse of a unified dark fluid (UDF) which has constant adiabatic sound speed. By choosing the different values of model parameters $B_s$ and $\alpha$, we show the nonlinear collapse for UDF and baryons which are ... More

A New Unified Dark Fluid Model and Its Cosmic ConstraintOct 19 2012In this paper, we propose a new unified dark fluid (UDF) model with equation of state (EoS) $w(a)=-\alpha/(\beta a^{-n}+1)$, which includes the generalized Chaplygin gas model (gGg) as its special case, where $\alpha$, $\beta$ and $n$ are three positive ... More

Ergodicity of stochastic real Ginzburg-Landau equation driven by $α$-stable noisesMay 27 2012Jun 05 2012We study the ergodicity of stochastic real Ginzburg-Landau equation driven by additive $\alpha$-stable noises, showing that as $\alpha \in (3/2,2)$, this stochastic system admits a unique invariant measure. After establishing the existence of invariant ... More

Multipartite fully entangled fractionJun 15 2015Fully entangled fraction is a definition for bipartite states, which is tightly related to bipartite maximally entangled states, and has clear experimental and theoretical significance. In this work, we generalize it to multipartite case, we call the ... More

Interferometric detection of Chern numbers in topological optical latticesOct 16 2014Aug 13 2015Topological states of matter emergent as a new type of quantum phases, which can be distinguished by their associated topological invariants, e.g., Chern numbers. Currently, there is increasing in-terests toward the physically detection of the new predicted ... More

Shear viscosity of nuclear matterFeb 01 2013In this talk I report my recent study on the shear viscosity of neutron-rich nuclear matter from a relaxation time approach. An isospin- and momentum-dependent interaction is used in the study. Effects of density, temperature, and isospin asymmetry of ... More

Isospin splitting of nucleon effective mass and shear viscosity of nuclear matterFeb 09 2015Based on an improved isospin- and momentum-dependent interaction, we have studied the qualitative effect of isospin splitting of nucleon effective mass on the specific shear viscosity of neutron-rich nuclear matter from a relaxation time approach. It ... More

Mean Curvature Flows of Graphs with Neumann Boundary conditionJun 21 2016In this paper, we study the mean curvature flow of graphs with Neumann boundary condition. The main aim is to use the maximum principle to get the boundary gradient estimate for solutions. In particular, we obtain the corresponding existence theorem for ... More

A new method to prove the irreducibility of the eigenspace representations for Rn semidirect with a finite pseudo-reflection groupAug 19 2016We show that the Eigenspace Representations for $\mathbb{R}^{n}$ semidirect with a finite pseudo-reflection group $K$, which satisfy some generic property are equivalent to the induced representations from $\mathbb{R}^{n}$ to $\mathbb{R}^{n} \rtimes K$, ... More

Stochastic Epidemic Networks with Strategic Link FormationJul 19 2016Understanding cascading failures or epidemics in networks is crucial for developing effective defensive mechanisms for many critical systems and infrastructures (e.g. biological, social and cyber networks). Most of the existing works treat the network ... More

On the rate of convergence for $(\log_b n)$Sep 26 2016Nov 13 2016In this paper, we study rate of convergence for the distribution of sequence of logarithms $(\log_bn)$ for integer base $b\ge2.$ It is well-known that the slowly growing sequence $(\log_bn)$ is not uniformly distributed modulo one. Its distributions converge ... More

Survey on fusible numbersFeb 25 2012We point out that the recursive formula that appears in Erickson's presentation "Fusible Numbers" is incorrect, and pose an alternate conjecture about the structure of fusible numbers. Although we are unable to solve the conjecture, we succeed in establishing ... More

Geometric measure of quantum discord over two-sided projective measurementsJan 18 2011Jun 01 2011The original definition of quantum discord of bipartite states was defined over one-sided projective measurements, it describes quantum correlation more extensively than entanglement. Dakic, Vedral, and Brukner [Phys. Rev. Lett. 105 (2010) 190502] introduced ... More

New Constructions of Complex ManifoldsDec 01 2010Dec 18 2010For a generic anti-canonical hypersurface in each smooth toric Fano 4-fold with rank 2 Picard group, we prove there exist three isolated rational curves in it. Moreover, for all these 4-folds except one, the contractions of generic anti-canonical hypersurfaces ... More

Existence theorems for a crystal surface model involving the p-Laplace operatorNov 20 2017Jun 14 2018The manufacturing of crystal films lies at the heart of modern nanotechnology. How to accurately predict the motion of a crystal surface is of fundamental importance. Many continuum models have been developed for this purpose, including a number of PDE ... More

Elementary abelian subgroups in some special p-groupsNov 07 2017Let $P$ be a finite $p$-group and $p$ be an odd prime. Let $\mathcal{A}_p(P)_{\geq2}$ be a poset consisting of elementary abelian subgroups of rank at least 2. If the derived subgroup $P'\cong C_p\times C_p$, then the spheres occurring in $\mathcal{A}_p(P)_{\geq2}$ ... More

Logarithmic upper bounds for weak solutions to a class of parabolic equationsNov 06 2017Apr 23 2018It is well known that a weak solution $\varphi$ to the initial boundary value problem for the uniformly parabolic equation $\partial_t\varphi-\mbox{div}(A\nabla \varphi) +\omega\varphi= f $ in $\Omega_T\equiv\Omega\times(0,T)$ satisfies the uniform estimate ... More

A note on Oliver's p-group conjectureNov 07 2017Let $S$ be a $p$-group for an odd prime $p$, Oliver proposed the conjecture that the Thompson subgroup $J(S)$ is always contained in the Oliver subgroup $\mathfrak{X}(S)$. That means he conjectured that $|J(S)\mathfrak{X}(S):\mathfrak{X}(S)|=1$. Let $\mathfrak{X}_1(S)$ ... More

Weyl invariant polynomial and deformation quantization on Kahler manifoldsAug 12 2012Given a polynomial P of partial derivatives of the Kahler metric, expressed as a linear combination of directed multigraphs, we prove a simple criterion in terms of the coefficients for $P$ to be an invariant polynomial, i.e. invariant under the transformation ... More

Cuspidal modules for solenoidal Lie algebras over rational quantum toriApr 11 2019In this paper we classify all irreducible cuspidal modules over a solenoidal Lie algebra over a rational quantum torus, generalizing the results in [BF2], [Su] and [Xu2].

Planar mappings of subexponentially integrable distortion -- integrability of distortion of inversesApr 08 2016We establish the optimal regularity for the distortion of inverses of mappings of finite distortion with logarithm-iterated style subexponentially integrable distortion, which generalizes the Theorem 1. of [J. Gill, Ann. Acad. Sci. Fenn. Math. 35 (2010), ... More

A review and prospects for Nb3Sn superconductor developmentJun 30 2017Nb3Sn superconductors have significant applications in constructing high-field (> 10 T) magnets. This article briefly reviews development of Nb3Sn superconductor and proposes prospects for further improvement. It is shown that significant improvement ... More

On Mœglin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $SO(N)$Jul 29 2015Sep 01 2016We give a survey on M{\oe}glin's construction of representations in the Arthur packets for $p$-adic quasisplit symplectic and orthogonal groups. The emphasis is on comparing M{\oe}glin's parametrization of elements in the Arthur packets with that of Arthur. ... More

Scaling behaviour of magnetic entropy change in bilayered manganites by two-variable polynomials fitting to magnetizationDec 24 2018Based on the two-variable polynomial model of magnetization, magnetic entropy change of bilayered manganites with $327$-structure and its scaling behaviour with respect to applied magnetic fields are investigated. It's found that the Curie temperature, ... More

Configuration Testing: Testing Configuration Values Together with Code LogicMay 29 2019This paper proposes configuration testing as a key reliability engineering discipline for configuration management in large-scale production systems. We advocate that configuration changes should be systematically tested at the same level as code changes. ... More