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Learning Universal Sentence Representations with Mean-Max Attention AutoencoderSep 18 2018In order to learn universal sentence representations, previous methods focus on complex recurrent neural networks or supervised learning. In this paper, we propose a mean-max attention autoencoder (mean-max AAE) within the encoder-decoder framework. Our ... More

Electric Field-Tuned Topological Phase Transition in Ultra-Thin Na3Bi - Towards a Topological TransistorMay 22 2018Feb 05 2019The electric field induced quantum phase transition from topological to conventional insulator has been proposed as the basis of a topological field effect transistor [1-4]. In this scheme an electric field can switch 'on' the ballistic flow of charge ... More

An Accurate and Efficient Method to Calculate the Error Statistics of Block-based Approximate AddersMar 10 2017Adders are key building blocks of many error-tolerant applications. Leveraging the application-level error tolerance, a number of approximate adders were proposed recently. Many of them belong to the category of block-based approximate adders. For approximate ... More

Hourglass Weyl loops in two dimensions: Theory and material realization in monolayer GaTeI familyFeb 25 2019Nodal loops in two-dimensional (2D) systems are typically vulnerable against spin-orbit coupling (SOC). Here, we explore 2D systems with a type of doubly degenerate nodal loops that are robust under SOC and feature an hourglass type dispersion. We present ... More

Long-slit Spectroscopy of Edge-on Low Surface Brightness GalaxiesFeb 20 2017We present long-slit optical spectra of 12 edge-on low surface brightness galaxies (LSBGs) positioned along their major axes. After performing reddening corrections for the emission-line fluxes measured from the extracted integrated spectra, we measured ... More

Quadratic and Cubic Nodal Lines Stabilized by Crystalline SymmetryJul 07 2018In electronic band structures, nodal lines may arise when two (or more) bands contact and form a one-dimensional manifold of degeneracy in the Brillouin zone. Around a nodal line, the dispersion for the energy difference between the bands is typically ... More

Inhomogeneity parameter in designing an ion trapDec 26 2014Jan 08 2015In designing an ion trap, geometry and rf source should be optimized such that the trap depth is maximized while the ion remain stable. In a quadrupole linear trap, stable parameters $a$ and $q$ are utilized frequently in describing the stability. However, ... More

Improving Cross-Domain Chinese Word Segmentation with Word EmbeddingsMar 05 2019Mar 29 2019Cross-domain Chinese Word Segmentation (CWS) remains a challenge despite recent progress in neural-based CWS. The limited amount of annotated data in the target domain has been the key obstacle to a satisfactory performance. In this paper, we propose ... More

Hybrid Structures and Strain-Tunable Electronic Properties of Carbon NanothreadsMar 13 2018The newly synthesized ultrathin carbon nanothreads have drawn great attention from the carbon community. Here, based on first-principles calculations, we investigate the electronic properties of carbon nanothreads under the influence of two important ... More

Hourglass Weyl loops in two dimensions: Theory and material realization in monolayer GaTeI familyFeb 25 2019May 20 2019Nodal loops in two-dimensional (2D) systems are typically vulnerable against spin-orbit coupling (SOC). Here, we explore 2D systems with a type of doubly degenerate nodal loops that are robust under SOC and feature an hourglass type dispersion. We present ... More

Two-dimensional honeycomb borophene oxide: A promising anode material offering super high capacity for Li/Na-ion batteriesApr 30 2019Rational design of novel two-dimensional (2D) electrode materials with high capacity is crucial for the further development of Li-ion and Na-ion batteries. Herein, based on first-principles calculations, we systemically investigate Li and Na storage behaviors ... More

Composite Dirac SemimetalApr 12 2019Weak topological insulators and Dirac semimetals are gapped and nodal phases with distinct topological properties, respectively. Here, we propose a novel topological phase that exhibits features of both and is dubbed composite Dirac semimetal (CDSM). ... More

Composite Dirac SemimetalApr 12 2019Apr 16 2019Weak topological insulators and Dirac semimetals are gapped and nodal phases with distinct topological properties, respectively. Here, we propose a novel topological phase that exhibits features of both and is dubbed composite Dirac semimetal (CDSM). ... More

Circumventing the no-go theorem: A single Weyl point surrounded by nodal wallsMar 21 2019Despite of a rapidly expanding inventory of possible crystalline Weyl semimetals, all of them are constrained by the Nielsen-Ninomiya no-go theorem, namely, that left- and right-handed Weyl points appear in pairs. With time-reversal (T) symmetry, an even ... More

Three-dimensional honeycomb carbon: Junction line distortion and novel emergent fermionsJun 28 2018Carbon enjoys a vast number of allotropic forms, each possessing unique properties determined by the lattice structures and bonding characters. Here, based on first-principles calculations, we propose a new three-dimensional carbon allotrope--hC28. We ... More

Two-dimensional honeycomb borophene oxide: Strong anisotropy and nodal loop transformationOct 06 2018Jan 23 2019The search for topological semimetals is mainly focused on heavy-element compounds as following the footsteps of previous research on topological insulators, with less attention on light-element materials. However, the negligible spin orbit coupling with ... More

Nodal surface semimetals: Theory and material realizationDec 28 2017Mar 13 2018We theoretically study the three-dimensional topological semimetals with nodal surfaces protected by crystalline symmetries. Different from the well-known nodal-point and nodal-line semimetals, in these materials, the conduction and valence bands cross ... More

Nodal Loop and Nodal Surface States in Ti3Al Family MaterialsMay 04 2018May 09 2018Topological metals and semimetals are new states of matter which attract great interest in current research. Here, based on first-principles calculations and symmetry analysis, we propose that the family of titanium-based compounds Ti3X (X=Al, Ga, Sn, ... More

Hexagonal supertetrahedral boron: A topological metal with multiple spin-orbit-free emergent fermionsJan 24 2019We predict a new three-dimensional (3D) boron allotrope based on systematic first-principles electronic structure calculations. This allotrope can be derived by substituting each carbon atom in a hexagonal diamond lattice with a B$_{4}$ tetrahedron and ... More

Testing gravity theories using tensor perturbationsMay 11 2016Primordial gravitational waves constitute a promising probe of the very-early universe and the laws of gravity. We study changes to tensor mode perturbations that can arise in various proposed modified gravity (MG) theories. These include additional friction ... More

Cosmological discordances II: Hubble constant, Planck and large-scale-structure data setsAug 31 2017Oct 31 2017We examine systematically the (in)consistency between cosmological constraints as obtained from various current data sets of the expansion history, Large Scale Structure (LSS), and Cosmic Microwave Background (CMB) from Planck. We run (dis)concordance ... More

Testing gravity theories using tensor perturbationsMay 11 2016Dec 27 2016Primordial gravitational waves constitute a promising probe of the very early Universe and the laws of gravity. We study in this work changes to tensor-mode perturbations (TMPs) that can arise in various proposed modified gravity (MG) theories. These ... More

Cosmological discordances: a new measure, marginalization effects, and application to geometry vs growth current data setsMay 15 2017Aug 29 2017The continuous progress toward more precise cosmological surveys and experiments has galvanized recent interest into consistency tests on cosmological parameters and models. At the heart of this effort is quantifying the degree of inconsistency between ... More

Ultra faint dwarf galaxies: an arena for testing dark matter versus modified gravityApr 04 2016Nov 18 2016The scenario consistent with a wealth of observations for the missing mass problem is that of weakly interacting dark matter particles. However, arguments or proposals for a Newtonian or relativistic modified gravity scenario continue to be made. A distinguishing ... More

Ultra faint dwarf galaxies: an arena for testing dark matter versus modified gravityApr 04 2016The scenario consistent with a wealth of observations for the missing mass problem is that of weakly interacting dark matter particles. However, arguments or proposals for a Newtonian or relativistic modified gravity scenario continue to be made. A distinguishing ... More

An Empirical Fitting Method for Type Ia Supernova Light Curves. I. A Case Study of SN 2011feDec 07 2016We present a new empirical fitting method for the optical light curves of Type Ia supernovae (SNe Ia). We find that a variant broken-power-law function provides a good fit, with the simple assumption that the optical emission is approximately the blackbody ... More

Limits to the fraction of high-energy photon emitting gamma-ray burstsMay 14 2012Jan 12 2013After almost 4 years of operation, the two instruments onboard the Fermi Gamma-ray Space Telescope have shown that the number of gamma-ray bursts with high energy photon emission above 100 MeV cannot exceed roughly 9% of the total number of all such events, ... More

An Empirical Fitting Method for Type Ia Supernova Light Curves: A Case Study of SN 2011feDec 07 2016Mar 03 2017We present a new empirical fitting method for the optical light curves of Type Ia supernovae (SNe~Ia). We find that a variant broken-power-law function provides a good fit, with the simple assumption that the optical emission is approximately the blackbody ... More

GRB120729A: external shock origin for both the prompt gamma-ray emission and afterglowApr 06 2018Gamma-ray burst (GRB) 120729A was detected by Swift/BAT and Fermi/GBM, and then rapidly observed by Swift/XRT, Swift/UVOT, and ground-based telescopes. It had a single long and smooth \gamma-ray emission pulse, which extends continuously to the X-rays. ... More

Averaged universe confronted to cosmological observations: a fully covariant approachApr 12 2016One of the outstanding problems in general relativistic cosmology is that of the averaging. That is, how the lumpy universe that we observe at small scales averages out to a smooth Friedmann-Lemaitre-Robertson-Walker (FLRW) model. The root of the problem ... More

Molecular dynamics simulations of the evaporation of particle-laden dropletsMar 08 2012We use molecular dynamics simulations to study the evaporation of particle-laden droplets on a heated surface. The droplets are composed of a Lennard-Jones fluid containing rigid particles which are spherical sections of an atomic lattice, and heating ... More

Velocity slip on curved surfacesSep 05 2013The Navier boundary condition for velocity slip on flat surfaces, when expressed in tensor form, is readily extended to surfaces of any shape. We test this assertion using molecular dynamics simulations of flow in channels with flat and curved walls and ... More

Heavily Enhanced Dynamic Stark Shift in a System of Bose Einstein Condensation of PhotonsJan 30 2013May 20 2013The dynamic Stark shift of a high-lying atom in a system of Bose Einstein condensation (BEC) of photons is discussed within the framework of nonrelativistic quantum electrodynamics (QED) theory. It is found that the Stark shift of an atom in BEC of photons ... More

Averaged universe confronted with cosmological observations: A fully covariant approachApr 12 2016Nov 18 2016One of the outstanding problems in general relativistic cosmology is that of the averaging. That is, how the lumpy universe that we observe at small scales averages out to a smooth Friedmann-Lemaitre-Robertson-Walker (FLRW) model. The root of the problem ... More

The $k$-tuple Prime Difference ChampionOct 30 2017Jan 03 2018Let $D_{k}$ be a set with $k$ distinct elements of integers such that $d_{1}<d_{2}<\cdots<d_{k}$. We say $D_{k}^{*}$ is a $k$-tuple prime difference champion ($k$-tuple PDC) for primes $\le x$ if the set $D_{k}^{*}$ is the most probable differences among ... More

Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusionMar 30 2017This paper establishes the global existence and uniqueness of smooth solutions to the two-dimensional compressible magnetohydrodynamic system when the initial data is close to an equilibrium state. In addition, explicit large-time decay rates for various ... More

Quantum Criticality of the Two-dimensional Bose Gas with the Lifshitz dispersionSep 14 2015Bosonic systems with the synthetic spin-orbit coupling and Zeeman field can be tuned into a quantum Lifshitz point exhibiting the $q^4$-dispersion. They are fundamentally different from the conventional ones with the $q^2$-dispersion, and are also connected ... More

Designing optimal quantum cloning machine for qubit systemApr 29 2010Following the work of Niu and Griffiths, in \emph{Phys.Rev.A 58, 4377(1998)}, we shall investigate the problem, how to design the optimal quantum cloning machines (QCMs) for qubit system, with the help of Bloch-sphere representation. In stead of the quality ... More

Modelling Data Dispersion Degree in Automatic Robust Estimation for Multivariate Gaussian Mixture Models with an Application to Noisy Speech ProcessingMay 19 2014The trimming scheme with a prefixed cutoff portion is known as a method of improving the robustness of statistical models such as multivariate Gaussian mixture models (MG- MMs) in small scale tests by alleviating the impacts of outliers. However, when ... More

Mean Values for a Class of Arithmetic Functions in Short IntervalsJul 24 2018In this paper, we shall establish a rather general asymptotic formula in short intervals for a classe of arithmetic functions and announce two applications about the distribution of divisors of square-full numbers and integers representable as sums of ... More

Effects of Self-Calibration of Intrinsic Alignment on Cosmological Parameter Constraints from Future Cosmic Shear SurveysJul 04 2017Nov 03 2017Intrinsic alignments (IA) of galaxies have been recognized as one of the most serious contaminants to weak lensing. These systematics need to be isolated and mitigated in order for ongoing and future lensing surveys to reach their full potential. The ... More

Improving Cross-Domain Chinese Word Segmentation with Word EmbeddingsMar 05 2019Cross-domain Chinese Word Segmentation (CWS) remains a challenge despite recent progress in neural-based CWS. The limited amount of annotated data in the target domain has been the key obstacle to a satisfactory performance. In this paper, we propose ... More

A Novel Learning Algorithm for Bayesian Network and Its Efficient Implementation on GPUOct 18 2012Computational inference of causal relationships underlying complex networks, such as gene-regulatory pathways, is NP-complete due to its combinatorial nature when permuting all possible interactions. Markov chain Monte Carlo (MCMC) has been introduced ... More

An Empirical Fitting Method for Type Ia Supernova Light Curves. II. Estimating the First-Light Time and Rise TimeDec 08 2016Sep 05 2017We investigate a new empirical fitting method for the optical light curves of Type Ia supernovae (SNe~Ia) that is able to estimate the first-light time of SNe~Ia, even when they are not discovered extremely early. With an improved ability to estimate ... More

Improving Cross-Domain Chinese Word Segmentation with Word EmbeddingsMar 05 2019Mar 11 2019Cross-domain Chinese Word Segmentation (CWS) remains a challenge despite recent progress in neural-based CWS. The limited amount of annotated data in the target domain has been the key obstacle to a satisfactory performance. In this paper, we propose ... More

An Empirical Fitting Method to Type Ia Supernova Light Curves. III. A Three-Parameter Relationship: Peak Magnitude, Rise Time, and Photospheric VelocityDec 05 2017Mar 29 2018We examine the relationship between three parameters of Type Ia supernovae (SNe~Ia): peak magnitude, rise time, and photospheric velocity at the time of peak brightness. The peak magnitude is corrected for extinction using an estimate determined from ... More

Scalar field quasinormal frequencies of Reissner-Nordström black hole surrounded by quintessenceMay 27 2016Jun 03 2016We evaluate the quasinormal modes of massless scalar field around Reissner-Nordstr$\ddot{\text{o}}$m black hole surrounded by a static and spherically symmetric quintessence by using the continued fraction method. The appropriate Frobenius series for ... More

Parallelized Solution to Semidefinite Programmings in Quantum Complexity TheorySep 12 2010In this paper we present an equilibrium value based framework for solving SDPs via the multiplicative weight update method which is different from the one in Kale's thesis \cite{Kale07}. One of the main advantages of the new framework is that we can guarantee ... More

Comments on quant-ph/0609176Jan 08 2007In this note, we show the mistake which has been made in quant-ph/0609176. Further more, we provide a sketch of proof to show the impossibility of the effort of such kind toward improving the efficiency of Grover's Algorithm.

Calculation of the minimum computational complexity based on information entropyMar 08 2012In order to find out the limiting speed of solving a specific problem using computer, this essay provides a method based on information entropy. The relationship between the minimum computational complexity and information entropy change is illustrated. ... More

Quantum Gauge Theory of GravityDec 09 2001Feb 26 2002The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field is represented by gauge field. In leading order approximation, it gives out ... More

Centrifugal-Barrier Effects and Determination of the Interaction RadiusMay 21 2013The interaction radius of a resonance is an important physical quantity to describe the structure of a resonance. But, for a long time, physicists do not find a reliable way to measure the magnitude of the interaction radius of a resonance. In this paper, ... More

Gauge Gravity and Space-TimeJul 11 2012When we discuss problems on gravity, we can not avoid some fundamental physical problems, such as space-time, inertia, and inertial reference frame. The goal of this paper is to discuss the logic system of gravity theory and the problems of space-time, ... More

Mechanism of Gravity ImpulseOct 01 2005It is well-known that energy-momentum is the source of gravitational field. For a long time, it is generally believed that only stars with huge masses can generate strong gravitational field. Based on the unified theory of gravitational interactions and ... More

Non-Relativistic Limit of Dirac Equations in Gravitational Field and Quantum Effects of GravityApr 06 2005Apr 23 2005Based on unified theory of electromagnetic interactions and gravitational interactions, the non-relativistic limit of the equation of motion of a charged Dirac particle in gravitational field is studied. From the Schrodinger equation obtained from this ... More

An Electroweak Model With Massive NeutrinosJun 17 1999In this paper, an electroweak model with massive neutrinos is proposed. The symmetry of the model is $SU(2)_L \times U(1)_Y \times U(1)_M$. Because of the mixing of neutrinos, the conversion of one lepton type to another is possible, but many of those ... More

Hasse principle for hermitian spaces over semi-global fieldsOct 15 2015Feb 04 2016In a recent paper, Colliot-Th\'el\`ene, Parimala and Suresh conjectured that a local-global principle holds for projective homogeneous spaces of connected linear algebraic groups over function fields of p-adic curves. In this paper, we show that the conjecture ... More

Renormalized Energy for Dislocations in Quasi-CrystalsDec 08 2016Anti-plane shear deformations of a hexagonal quasi-crystal with multiple screw dislocations are considered. Using a variational formulation, the elastic equilibrium is characterized via limit of minimizers of a core-regularized energy functional. A sharp ... More

Positivity-Preserving Analysis of Numerical Schemes for Ideal MagnetohydrodynamicsFeb 07 2018Numerical schemes provably preserving the positivity of density and pressure are highly desired for MHD, but the rigorous positivity-preserving (PP) analysis remains challenging. The difficulties mainly arise from the intrinsic complexity of the MHD equations ... More

Some $p$-ranks related to a conic in $PG(2,q)$Feb 05 2010Let $\A$ be the incidence matrix of lines and points of the classical projective plane $PG(2,q)$ with $q$ odd. With respect to a conic in $PG(2,q)$, the matrix $\A$ is partitioned into 9 submatrices. The rank of each of these submatices over $\Ff_q$, ... More

Chen's double sieve, Goldbach's conjecture and the twin prime problemMay 11 2007We give a more comrehensive treatment of Chen's double sieve and improve related constants in Goldbach's conjecture and the twin prime problem.

Fixed point of self-similar Lennard-Jones potentials in the glass transitionJan 09 2007The existence of potential energy landscape in the glass transition has been theoretically proved using the recursive equation of reinforce-restraint of self-similar 8 orders of Lennard-Jones (L-J) potential fluctuations. The stability condition for fluctuation ... More

Diffusive Limit with Geometric Correction of Unsteady Neutron Transport EquationSep 25 2015May 05 2016We consider the diffusive limit of an unsteady neutron transport equation in a two-dimensional plate with one-speed velocity. We show the solution can be approximated by the sum of interior solution, initial layer, and boundary layer with geometric correction. ... More

The Accelerating Growth of Online Tagging SystemsJan 05 2011Jun 27 2011Research on the growth of online tagging systems not only is interesting in its own right, but also yields insights for website management and semantic web analysis. Traditional models that describing the growth of online systems can be divided between ... More

QCD hadron spectrum with domain wall fermionsSep 14 1999We present the QCD hadron spectrum for the cases of both quenched and two-flavor dynamical domain wall fermions. We compare the results obtained using the Wilson gauge action and a renormalization group improved gauge action. Finite volume effects and ... More

A costly Bayesian implementable social choice function may not be truthfully implementableSep 13 2016Nov 30 2016The revelation principle is a fundamental theorem in many economics fields. In this paper, we construct a simple labor model to show that a social choice function which can be implemented costly in Bayesian Nash equilibrium may not be truthfully implementable. ... More

Khovanov-Rozansky homology and Directed CyclesAug 28 2015Oct 23 2015We determine the cycle packing number of a directed graph using elementary projective algebraic geometry. Our idea is rooted in the Khovanov-Rozansky theory. In fact, using the Khovanov-Rozansky homology of a graph, we also obtain algebraic methods of ... More

A twisted integrable hierarchy with $\mathbb D_2$ symmetryApr 30 2012A loop algebra approach to the Gerdjikov-Mikhailov-Valchev (GMV) equation is provided to exploit the associated twisted integrable structure and a new twisted integrable hierarchy is discovered. Using the twisted loop algebra structure, we obtain a transparent ... More

The Cauchy problem of the Ward equation with mixed scattering dataJun 03 2008We solve the Cauchy problem of the Ward equation with both continuous and discrete scattering data.

Real-time Magnetometer Disturbance Estimation via Online Nonlinear ProgrammingNov 02 2018Magnetometer is a significant sensor for integrated navigation. However, it suffers from many kinds of unknown dynamic magnetic disturbances. We study the problem of online estimating such disturbances via a nonlinear optimization aided by intermediate ... More

The Fermat Functors, Part I: The theoryMar 30 2016In this paper, we use some basic quasi-topos theory to study two functors: one adding infinitesimals of Fermat reals to diffeological spaces (which generalize smooth manifolds including singular spaces and infinite dimensional spaces), and the other deleting ... More

Populations of X-ray binaries and the dynamical history of their host galaxiesMar 11 2001Sep 13 2001The observed luminosity distributions of X-ray sources indicate the presence of several populations of X-ray binaries in the nearby galaxies. Each population has its formation and evolutionary history, depending on the host environment. The features seen ... More

Global well-posedness on the derivative nonlinear Schrödinger equation revisitedApr 21 2014Jul 02 2014As a continuation of the previous work \cite{Wu}, we consider the global well-posedness for the derivative nonlinear Schr\"odinger equation. We prove that it is globally well-posed in energy space, provided that the initial data $u_0\in H^1(\mathbb{R})$ ... More

Nonequilibrium Renormalization Group Fixed-Points of the Quantum $N$-state Potts ChainJun 19 2019We derive an exact renormalization group recursion relation for the Loschmidt amplitude of the quantum $N$-state Potts chain for all $N$. The fixed-points of this recursion relation are found to be complex in general. These fixed-points control the dynamical ... More

Cosmetic Surgery in Integral Homology $L$-SpacesNov 27 2009Let $K$ be a non-trivial knot in $S^3$, and let $r$ and $r'$ be two distinct rational numbers of same sign, allowing $r$ to be infinite; we prove that there is no orientation-preserving homeomorphism between the manifolds $S^3_r(K)$ and $S^3_{r'}(K)$. ... More

Explicit Burgess-like subconvex bounds for $\mathrm{GL}_2 \times \mathrm{GL}_1$Dec 12 2017Dec 06 2018We make the polynomial dependence on the fixed representation $\pi$ in our previous subconvex bound of $L(1/2,\pi \otimes \chi)$ for $\mathrm{GL}_2 \times \mathrm{GL}_1$ explicit, especially with respect to the usual conductor $\mathbf{C}(\pi_{\mathrm{fin}})$. ... More

A braided simplicial groupJan 14 2000By studying braid group actions on Milnor's construction of the 1-sphere, we show that the general higher homotopy group of the 3-sphere is the fixed set of the pure braid group action on certain combinatorially described group. We also give certain representation ... More

Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness conditionNov 21 2006In in this paper we establish an explicit and sharp estimate of the spectral gap (Poincar\'{e} inequality) and the transportation inequality for Gibbs measures, under the Dobrushin uniqueness condition. Moreover, we give a generalization of the Liggett's ... More

Radiative energy loss and radiative p_T-broadening of high-energy partons in QCD matterAug 23 2014Dec 16 2014We study the connection between radiative energy loss and radiative p_T-broadening of a high-energy quark or gluon passing through QCD matter. The generalized Baier-Dokshitzer-Mueller-Peigne-Schiff-Zakharov (BDMPS-Z) formalism is used to calculate energy ... More

$\mathcal{P}\mathcal{S}$ bent functions constructed from finite pre-quasifield spreadsAug 15 2013Bent functions are of great importance in both mathematics and information science. The $\mathcal{P}\mathcal{S}$ class of bent functions was introduced by Dillon in 1974, but functions belonging to this class that can be explicitly represented are only ... More

On holographic thermalization and gravitational collapse of tachyonic scalar fieldsJan 16 2013Mar 24 2013In this paper we study the thermalization of a spatially homogeneous system in a strongly coupled CFT. The non-equilibrium initial state is created by switching on a relevant perturbation in the CFT vacuum during Delta t >= t >= -Delta t. Via AdS/CFT, ... More

On holographic thermalization and gravitational collapse of massless scalar fieldsAug 07 2012Sep 29 2012In this paper we study thermalization in a strongly coupled system via AdS/CFT. Initially, the energy is injected into the system by turning on a spatially homogenous scalar source coupled to a marginal composite operator. The thermalization process is ... More

On p_T-broadening of high energy partons associated with the LPM effect in a finite-volume QCD mediumFeb 02 2011Sep 27 2011We study the contributions from radiation to $p_{\perp}$-broadening of a high energy parton traversing a QCD medium with a finite length $L$. The interaction between the parton and the medium is described by decorrelated static multiple scattering. Amplitudes ... More

The number of rational curves on K3 surfacesFeb 13 2006Nov 15 2006Let X be a K3 surface with a primitive ample divisor H, and let $\beta=2[H]\in H_2(X, \mathbf Z)$. We calculate the Gromov-Witten type invariants $n_{\beta}$ by virtue of Euler numbers of some moduli spaces of stable sheaves. Eventually, it verifies Yau-Zaslow ... More

A Topological Characterization of the Middle Perversity Intersection Complex for Arbitrary Complex Algebraic VarietiesMay 29 2019For an arbitrary complex algebraic variety which is not necessarily pure dimensional, the intersection complex can be defined as the direct sum of the Deligne-Goresky-Macpherson intersection complexes of each irreducible component. We give two axiomatic ... More

Pendulum View of The Schroedinger EquationJun 25 2003A transformation is found between the one dimensional Schroedinger equation and a pendulum problem. It is demonstrated how to construct exact solutions with the resulted pendulum equation. The relation of this transformation to the Zakharov-Shabat equations ... More

An Empirical Study of Blockchain-based Decentralized ApplicationsFeb 13 2019A decentralized application (dapp for short) refers to an application that is executed by multiple users over a decentralized network. In recent years, the number of dapp keeps fast growing, mainly due to the popularity of blockchain technology. Despite ... More

Colored sl(N) link homology via matrix factorizationsOct 10 2011Oct 12 2011The Reshetikhin-Turaev sl(N) polynomial of links colored by wedge powers of the defining representation has been categorified via several different approaches. Here, we give a concise introduction to the categorification using matrix factorizations, which ... More

Hypergeometric SLE: Conformal Markov Characterization and ApplicationsMar 06 2017Feb 24 2018This article pertains to the classification of pairs of simple random curves with conformal Markov property and symmetry. We give the complete classification of such curves: conformal Markov property and symmetry single out a two-parameter family of random ... More

Signaling games with pattern recognitionFeb 23 2010The classical model of signaling games assumes that the receiver exactly know the type space (private information) of the sender and be able to discriminate each type of the sender distinctly. However, the justification of this assumption is questionable. ... More

Quantum mechanism helps agents combat "bad" social choice rulesFeb 23 2010Apr 22 2011Quantum strategies have been successfully applied to game theory for years. However, as a reverse problem of game theory, the theory of mechanism design is ignored by physicists. In this paper, the theory of mechanism design is generalized to a quantum ... More

The supersingular locus of unitary Shimura varieties with exotic good reductionSep 28 2016Oct 25 2016In this paper, we use a group-theoretic approach to give a concrete description of the geometric structure of the supersingular locus of unitary Shimura varieties with exotic good reduction. This approach also is a more uniform way to prove results of ... More

A note on the definition of Bayesian Nash equilibrium of a mechanism when strategies of agents are costly actionsSep 13 2016May 01 2019In mechanism design theory, a designer would like to implement a desired social choice function which specifies her favorite outcome for each possible profile of agents' types. To do so, the designer constructs a mechanism which describes each agent's ... More

On Certain Hypotheses in Optimal Control Theory and the Relationship of the Maximum Principle with the Dynamic Programming Method Proposed by L. I. RozonoerJan 01 2008In this paper we will study three hypotheses proposed by L. I. Rozonoer (Automation and Remote Control, 2003, vol.64, no.8, pp.1237--1240) in optimal control theory in order to derive conditions for the existence of an optimal control under all initial ... More

Steganographer IdentificationApr 16 2019Conventional steganalysis detects the presence of steganography within single objects. In the real-world, we may face a complex scenario that one or some of multiple users called actors are guilty of using steganography, which is typically defined as ... More

Conformal restriction: the radial caseApr 21 2013Sep 10 2014We describe all random sets that satisfy the radial conformal restriction property, therefore providing the analogue in the radial case of results of Lawler, Schramm and Werner in the chordal case.

Equivariant Khovanov-Rozansky Homology and Lee-Gornik Spectral SequenceNov 28 2012Feb 28 2013Lobb observed in [arXiv:1103.1412] that each equivariant sl(N) Khovanov-Rozansky homology over C[a] admits a standard decomposition of a simple form. In the present paper, we derive a formula for the corresponding Lee-Gornik spectral sequence in terms ... More

A non-cooperative Pareto-efficient solution to a one-shot Prisoner's DilemmaOct 01 2010Nov 25 2011The Prisoner's Dilemma is a simple model that captures the essential contradiction between individual rationality and global rationality. Although the one-shot Prisoner's Dilemma is usually viewed simple, in this paper we will categorize it into five ... More

Magnetic Interaction in Ultra-compact Binary SystemsJun 11 2009This article reviews the current works on ultra-compact double-degenerate binaries in the presence of magnetic interaction, in particular, unipolar induction. The orbital dynamics and evolution of compact white-dwarf pairs are discussed in detail. Models ... More

Miniscule representations, Gauss sum and modular invarianceFeb 14 2008After explaining the concepts of Langlands dual and miniscule representations, we define an analog of the Gauss sum for any compact, simple Lie group with a simply laced Lie algebra. We then show a reciprocity property when a Lie group is exchanged with ... More