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Action Principle and Dynamic Ensemble Theory for Non-equilibrium Markov ChainsMar 19 2019An overarching action principle, the principle of minimal free action, exists for ergodic Markov chain dynamics. Using this principle and the Detailed Fluctuation Theorem, we construct a dynamic ensemble theory for non-equilibrium steady states (NESS) ... More

Particles inside Electrolytes with Ion-specific Interactions, Their Effective Charge Distributions and Effective InteractionsFeb 19 2016In this work, we explore the statistical physics of colloidal particles that interact with electrolytes via ion-specific interactions. Firstly we study particles interact weakly with electrolyte using linear response theory. We find that the mean potential ... More

Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 1: Continuous initial functionsNov 07 2016We aim to classify the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. Such a model may be used to describe the spreading of a new or invasive species, with the free boundary representing ... More

Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 2: Spreading speedNov 07 2016This is Part 2 of our work aimed at classifying the long-time behavior of the solution to a free boundary problem with monostable reaction term in space-time periodic media. In Part 1 (see \cite{ddl}) we have established a theory on the existence and ... More

Charged Plate in Asymmetric Electrolytes: One-loop Renormalization of Surface Charge Density and Debye Length due to Ionic CorrelationsFeb 12 2016The self-consistent field theory (SCFT) is used to study the mean potential near a charged plate inside a $m:-n$ electrolyte. A perturbation series is developed in terms of $g = 4 \pi b/\ell_{\rm {\scriptscriptstyle DB}}$, where $b, \ell_{\rm{\scriptscriptstyle ... More

A Convolutional Neural Network for Aspect Sentiment ClassificationJul 04 2018With the development of the Internet, natural language processing (NLP), in which sentiment analysis is an important task, became vital in information processing.Sentiment analysis includes aspect sentiment classification. Aspect sentiment can provide ... More

Charge Renormalization and Charge Oscillation in Asymmetric Primitive ModelFeb 24 2015Feb 19 2016The Debye charging method is generalized to study the linear response properties of the asymmetric primitive model for electrolytes. Analytic results are obtained for the effective charge distributions of constituent ions inside the electrolyte, from ... More

Performance Analysis for Heterogeneous Cellular Systems with Range ExpansionJul 02 2012Recently heterogeneous base station structure has been adopted in cellular systems to enhance system throughput and coverage. In this paper, the uplink coverage probability for the heterogeneous cellular systems is analyzed and derived in closed-form. ... More

Precise QCD predictions on top quark pair production mediated by massive color octet vector boson at hadron collidersJan 03 2012Dec 03 2012We present a theoretical framework for systematically calculating next-to-leading order (NLO) QCD effects to various experimental observables in models with massive COVB in a model independent way at hadron colliders. Specifically, we show the numerical ... More

A World of Difference: Divergent Word Interpretations among PeopleMar 08 2017Mar 28 2017Divergent word usages reflect differences among people. In this paper, we present a novel angle for studying word usage divergence -- word interpretations. We propose an approach that quantifies semantic differences in interpretations among different ... More

Optimal Throughput Fairness Trade-offs for Downlink Non-Orthogonal Multiple Access over Fading ChannelsAug 04 2017Feb 22 2018Recently, non-orthogonal multiple access (NOMA) has attracted considerable interest as one of the 5G-enabling techniques. However, users with better channel conditions in downlink communications intrinsically benefits from NOMA thanks to successive decoding, ... More

Hamiltonian decomposition of the Cayley graph on the dihedral group $D_{2p}$ where $p$ is a primeOct 18 2018In this note, we give the Hamiltonian decomposition of the Cayley graph on the dihedral group $D_{2p}$ where $p$ is a prime.

Dynamic Sparse Graph for Efficient Deep LearningOct 01 2018We propose to execute deep neural networks (DNNs) with dynamic and sparse graph (DSG) structure for compressive memory and accelerative execution during both training and inference. The great success of DNNs motivates the pursuing of lightweight models ... More

Dynamic Sparse Graph for Efficient Deep LearningOct 01 2018May 07 2019We propose to execute deep neural networks (DNNs) with dynamic and sparse graph (DSG) structure for compressive memory and accelerative execution during both training and inference. The great success of DNNs motivates the pursuing of lightweight models ... More

Model independent analysis of top quark forward-backward asymmetry at the Tevatron up to $\mathcal{O}(\as^2/Λ^2)$Jul 20 2011Oct 24 2011We present the complete calculations of the forward-backward asymmetry ($A_{\rm FB}$) and the total cross section of top quark pair production induced by dimension-six four quark operators at the Tevatron up to $\mathcal{O}(\as^2/\Lambda^2)$. Our results ... More

Two Types of Long-duration Quasi-static Evolution of Solar FilamentsApr 04 2018In this Letter, we investigate the long-duration quasi-static evolution of 12 pre-eruptive filaments (4 active region and 8 quiescent filaments), mainly focusing on the evolution of the filament height in three dimension (3D) and the decay index of the ... More

Raman frequency shift in oxygen functionalized carbon nanotubesJan 16 2007Jan 18 2007In terms of lattice dynamics theory, we study the vibrational properties of the oxygen-functionalized single wall carbon nanotubes (O-SWCNs). Due to the C-O and O-O interactions, many degenerate phonon modes are split and even some new phonon modes are ... More

Top quark pair production at small transverse momentum in hadronic collisionsJul 09 2013Oct 09 2013We investigate the transverse momentum resummation for top quark pair production at hadron colliders using the soft-collinear effective theory and the heavy-quark effective theory. We derive the factorization formula for $t\bar{t}$ production at small ... More

Transverse-momentum resummation for top-quark pairs at hadron collidersAug 28 2012Feb 24 2013We develop a framework for a systematic resummation of the transverse momentum distribution of top-quark pairs produced at hadron colliders based on effective field theory. Compared to Drell-Yan and Higgs production, a novel soft function matrix is required ... More

Study on flexible and organizable time-resolved measurement system and technology for multi-pulsed electron beam parameterMay 24 2016The proof test and debugging of the multi-pulsed electron accelerator, Dragon-2,requires a thorough comprehension of the quality of the beams. This puts forward a rigid requirement on the measurement system that it should have the ability that not only ... More

Measurement of the fluorescence quantum yield of bis-MSBMay 31 2015The fluorescence quantum yield of bis-MSB, a widely used liquid scintillator wavelength shifter, was measured to study the photon absorption and re-emission processes in liquid scintillator. The re-emission process affects the photoelectron yield and ... More

Neural Network Model Extraction Attacks in Edge Devices by Hearing Architectural HintsMar 10 2019As neural networks continue their reach into nearly every aspect of software operations, the details of those networks become an increasingly sensitive subject. Even those that deploy neural networks embedded in physical devices may wish to keep the inner ... More

Physical Layer Security Jamming: Theoretical Limits and Practical Designs in Wireless NetworksJan 20 2017Physical layer security has been recently recognized as a promising new design paradigm to provide security in wireless networks. In addition to the existing conventional cryptographic methods, physical layer security exploits the dynamics of fading channels ... More

The anomaly Cu doping effects on LiFeAs superconductorsSep 19 2014Sep 25 2014The Cu substitution effect on the superconductivity of LiFeAs has been studied in comparison with Co/Ni substitution. It is found that the shrinking rate of the lattice parameter c for Cu substitution is much smaller than that of Co/Ni substitution. This ... More

Coexistence of Clean- and Dirty-limit Superconductivity in LiFeAsSep 16 2015Feb 08 2016The optical properties of LiFeAs with $T_c \simeq$ 18 K have been determined in the normal and superconducting states. The superposition of two Drude components yields a good description of the low-frequency optical response in the normal state. Below ... More

Dissipative entanglement preparation via Rydberg antiblockade and Lyapunov controlNov 27 2018Preparation of entangled steady states via dissipation and pumping in Rydberg atoms has been recently found to be useful for quantum information processing. The driven-dissipative dynamics is closely related to the natural linewidth of the Rydberg states ... More

Top quark chromomagnetic dipole moment in the littlest Higgs model with T-parityJan 12 2008The littlest Higgs model with T-parity, which is called $LHT$ model, predicts the existence of the new particles, such as heavy top quark, heavy gauge bosons, and mirror fermions. We calculate the one-loop contributions of these new particles to the top ... More

Robust Rydberg gate via Landau-Zener control of Förster resonanceJun 26 2018Nov 05 2018In this paper, we propose a scheme to implement the two-qubit controlled-Z gate via the Stark-tuned F\"orster interaction of Rydberg atoms, where the F\"orster defect is driven by a time-dependent electric field of a simple sinusoidal function while the ... More

The new charged gauge boson $W'$ and the subprocess $eq\toνq'$ at $e^{+}e^{-}$ and $ep$ collidersFeb 04 2008Mar 04 2008In the framework of the little Higgs models and the three-site Higgsless model, we discuss the contributions of the new charged gauge boson $W'$ to the process $eq\to\nu q'$ and the possibility of detecting $W'$ via this process in future high energy ... More

A Systematic Study on Energy Dependence of Quasi-Periodic Oscillation Frequency in GRS 1915+105Jul 19 2011Aug 01 2011Systematically studying all the RXTE/PCA observations for GRS 1915+105 before November 2010, we have discovered three additional patterns in the relation between Quasi-Periodic Oscillation (QPO) frequency and photon energy, extending earlier outcomes ... More

Erasure List-Decodable Codes from Random and Algebraic Geometry CodesJan 13 2014Erasure list decoding was introduced to correct a larger number of erasures with output of a list of possible candidates. In the present paper, we consider both random linear codes and algebraic geometry codes for list decoding erasure errors. The contributions ... More

Observation of strong electron pairing on bands without Fermi surfaces in LiFe1-xCoxAsJun 04 2014Jun 05 2014In conventional BCS superconductors, the quantum condensation of superconducting electron pairs is understood as a Fermi surface (FS) instability, in which the low-energy electrons are paired by attractive interactions. Whether this explanation is still ... More

Magnetic moment evolution and spin freezing in doped BaFe$_{2}$As$_{2}$Jul 14 2016Fe-K$_{\beta}$ X-ray emission spectroscopy measurements reveal an asymmetric doping dependence of the magnetic moments $\mu_\text{bare}$ in electron- and hole-doped BaFe$_{2}$As$_{2}$. At low temperature, $\mu_\text{bare}$ is nearly constant in hole-doped ... More

On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a MicropillarJan 03 2016May 13 2016Scalable photonic quantum technologies require on-demand single-photon sources with simultaneously high levels of purity, indistinguishability, and efficiency. These key features, however, have only been demonstrated separately in previous experiments. ... More

Lasing with cell-endogenous fluorophores: parameters and conditionsJun 30 2017The notion of lasing with biologics has recently been realized and has since rapidly developed with the collective objective of creating lasers $\textit{in vivo}$. One limitation of achieving this goal is the requirement of exogenous laser dyes and fluorescent ... More

Fluctuation-dissipation relations far from equilibriumAug 31 2009Mar 17 2010The fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is related to the ... More

A non-equilibrium dynamic mechanism for the allosteric effectMar 07 2007Sep 13 2007Allosteric regulation is often viewed as thermodynamic in nature. However protein internal motions during an enzymatic reaction cycle can be slow hopping processes over numerous potential barriers. We propose that regulating molecules may function by ... More

Training for 'Unstable' CNN Accelerator:A Case Study on FPGADec 02 2018With the great advancements of convolution neural networks(CNN), CNN accelerators are increasingly developed and deployed in the major computing systems.To make use of the CNN accelerators, CNN models are trained via the off-line training systems such ... More

A New Semantic Theory of Natural LanguageSep 10 2017Formal Semantics and Distributional Semantics are two important semantic frameworks in Natural Language Processing (NLP). Cognitive Semantics belongs to the movement of Cognitive Linguistics, which is based on contemporary cognitive science. Each framework ... More

Learning and Exploiting Multiple Subgoals for Fast Exploration in Hierarchical Reinforcement LearningMay 13 2019Hierarchical Reinforcement Learning (HRL) exploits temporally extended actions, or options, to make decisions from a higher-dimensional perspective to alleviate the sparse reward problem, one of the most challenging problems in reinforcement learning. ... More

Notes on holographic Schwinger effectJul 12 2015Aug 25 2015We use the method of evaluating the decay rate in terms of the imaginary part of a probe brane action to study the holographic Schwinger effect. In the confining D3-branes case, we find that the Schwinger effect occurs at energy scales higher than the ... More

Some torsion classes in the Chow ring and cohomology of $BPGL_n$Jan 29 2019Apr 22 2019In the integral cohomology ring of the classifying space of the projective linear group $PGL_n$ (over $\mathbb{C}$), we find a collection of $p$-torsions $y_{p,k}$ of degree $2(p^{k+1}+1)$ for any odd prime divisor $p$ of $n$, and $k\geq 0$. If in addition, ... More

On Topological Brauer Classes over $8$-Complexes with Periods Divisible by $4$Mar 14 2018We determine the index of the topological Brauer class $\beta_n$, the canonical generator of $H^3(X;\mathbb{Z})$, where $X$ is the $8$th skeleton of the Eilenberg-Mac Lane space $K(\mathbb{Z}/n,2)$, and $4|n$. This makes an important complement to a theorem ... More

Which Are You In A Photo?Nov 17 2014Automatic image tagging has been a long standing problem, it mainly relies on image recognition techniques of which the accuracy is still not satisfying. This paper attempts to explore out-of-band sensing base on the mobile phone to sense the people in ... More

Definitions and Evolutions of Statistical Entropy for Hamiltonian SystemsSep 26 2017Oct 17 2017Regardless of studies and debates over a century, the statistical origin of the second law of thermodynamics still remains illusive. One essential obstacle is the lack of a proper theoretical formalism for non-equilibrium entropy. Here I revisit the seminal ... More

The Poisson-Boltzmann Theory for Two Parallel Uniformly Charged PlatesOct 24 2010We solve the nonlinear Poisson-Boltzmann equation for two parallel and likely charged plates both inside a symmetric elecrolyte, and inside a 2 : 1 asymmetric electrolyte, in terms of Weierstrass elliptic functions. From these solutions we derive the ... More

The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact ResultsOct 24 2010The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this we derive ... More

Biaxial Deformations of Rubber: Entanglements or Elastic Fluctuations?Jul 24 2010Nov 01 2010The classical theory of rubber elasticity fails in the regime of large deformation. The un- derlying physical mechanism has been under debate for long time. In this work, we test the recently proposed mechanism of thermal elastic fluctuations by Xing, ... More

Magnetic effect on dynamical tide in rapidly rotating astronomical objectsJan 17 2018Jan 19 2018By numerically solving the equations of rotating magnetohydrodynamics (MHD), the magnetic effect on dynamical tide is studied. It is found that magnetic field has a significant impact not only on the flow structure, i.e. the internal shear layers in rotating ... More

The General Definition of the Complex Monge-Ampère Operator on Compact Kähler ManifoldsMay 15 2007We introduce a wide subclass ${\cal F}(X,\omega)$ of quasi-plurisubharmonic functions in a compact K\"ahler manifold, on which the complex Monge-Amp\`ere operator is well-defined and the convergence theorem is valid. We also prove that ${\cal F}(X,\omega)$ ... More

Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equationsApr 25 2019We consider the Cauchy problem for the nonlinear Schr\"odinger equation with double nonlinearities with opposite sign, with one term is mass-critical and the other term is mass-supercritical and energy-subcritical, which includes the famous two-dimensional ... More

Convergence rates of posterior distributions for observations without the iid structureNov 28 2008The classical condition on the existence of uniformly exponentially consistent tests for testing the true density against the complement of its arbitrary neighborhood has been widely adopted in study of asymptotics of Bayesian nonparametric procedures. ... More

Consumption investment optimization with Epstein-Zin utility in incomplete marketsJan 20 2015Nov 12 2015In a market with stochastic investment opportunities, we study an optimal consumption investment problem for an agent with recursive utility of Epstein-Zin type. Focusing on the empirically relevant specification where both risk aversion and elasticity ... More

Quenching of vector boson-tagged jets at the LHCApr 12 2017Electroweak boson-tagged jet measurements provide a promising experimental channel to accurately study the physics of jet production and propagation in dense QCD medium. In this talk, we present theoretical predictions for the nuclear-induced attenuation ... More

Mori-Zwanzig projection formalism: from linear to nonlinearApr 17 2009The Mori-Zwanzig projection formalism is widely used in studying systems with many degrees of freedom. We used a system-bath Hamiltonian system to show that the Mori's and Zwanzig's projection procedures are mutual limiting cases of each other depending ... More

On backward stochastic differential equations and strict local martingalesMay 15 2011Dec 12 2011We study a backward stochastic differential equation whose terminal condition is an integrable function of a local martingale and generator has bounded growth in $z$. When the local martingale is a strict local martingale, the BSDE admits at least two ... More

On adaptive Bayesian inferenceMay 23 2008Sep 23 2008We study the rate of Bayesian consistency for hierarchical priors consisting of prior weights on a model index set and a prior on a density model for each choice of model index. Ghosal, Lember and Van der Vaart [2] have obtained general in-probability ... More

Convergence Rates of Nonparametric Posterior DistributionsApr 17 2008We study the asymptotic behavior of posterior distributions. We present general posterior convergence rate theorems, which extend several results on posterior convergence rates provided by Ghosal and Van der Vaart (2000), Shen and Wasserman (2001) and ... More

On the decomposition of random hypergraphsOct 16 2015Nov 08 2015For an $r$-uniform hypergraph $H$, let $f(H)$ be the minimum number of complete $r$-partite $r$-uniform subhypergraphs of $H$ whose edge sets partition the edge set of $H$. For a graph $G$, $f(G)$ is the bipartition number of $G$ which was introduced ... More

A Semigroup Theory of Rate Independent HysteresisJul 23 2007We explore a macroscopic, algebraic approach to rate independent hysteresis using semigroup theory. A macroscopic description of metastable states relevant to rate independent hysteresis is introduced using field history. The semigroup structure of the ... More

Continuity of the complex Monge-Ampere operatorJun 30 1994The complex Monge-Amp\`ere operator $(dd^c)^n$ is an important tool in complex analysis. It would be interesting to find the right notion of convergence $u_j\to u$ such that $(dd^cu_j)^n\to (dd^cu)^n$ in the weak topology. In this paper, using the $C_{n-1}$-capacity, ... More

Stability of the exponential utility maximization problem with respect to preferencesMay 28 2012Sep 03 2013This paper studies stability of the exponential utility maximization when there are small variations on agent's utility function. Two settings are considered. First, in a general semimartingale model where random endowments are present, a sequence of ... More

Basis entropy: A useful physical quantity about projective measurementJun 05 2016Sep 30 2016Projective measurement can increase the entropy of a state $\rho$, the increased entropy is not only up to the basis of projective measurement, but also has something to do with the properties of the state itself. In this paper we define this increased ... More

Linear and nonlinear responses to harmonic force in rotating flowMay 05 2016For understanding the dissipation in a rotating flow when resonance occurs, we study the rotating flow driven by the harmonic force in a periodic box. Both the linear and nonlinear regimes are studied. The various parameters such as the force amplitude ... More

Kinematic dynamo induced by helical wavesJul 24 2014We investigate numerically the kinematic dynamo induced by the superposition of two helical waves in a periodic box as a simplified model to understand the dynamo action in astronomical bodies. The effects of magnetic Reynolds number, wavenumber and wave ... More

Continuity of the Complex Monge-Ampere Operator on Compact Kahler ManifoldsMar 26 2007Apr 09 2007We prove several approximation theorems of the complex Monge-Ampere operator on a compact Kahler manifold. As an application we give a new proof of a recent result of Guedj and Zeriahi on a complete description of the range of the complex Monge-Ampere ... More

S-wave contributions in $\bar B_s^0\to (D^0,\bar D^0)π^+π^- $ within perturbative QCD approachMar 11 2019The $\bar B_s^0\to (D^0,\bar D^0) \pi^+\pi^-$ is induced by the $b\to c \bar us$/$b \to u\bar cs$ transition, and can interfere if a CP-eigenstate $D_{\rm CP}$ is formed. The interference contribution is sensitive to the CKM angle $\gamma$. In this work, ... More

Spin-Fluctuation-Induced Non-Fermi-Liquid Behavior with suppressed superconductivity in LiFe$_{1-x}$Co$_{x}$AsMay 03 2015Sep 16 2015A series of LiFe$_{1-x}$Co$_{x}$As compounds with different Co concentrations have been studied by transport, optical spectroscopy, angle-resolved photoemission spectroscopy and nuclear magnetic resonance. We observed a Fermi liquid to non-Fermi liquid ... More

Effect of Li-deficiency impurities on the electron-overdoped LiFeAs superconductorAug 04 2012We use transport, inelastic neutron scattering, and angle resolved photoemission experiments to demonstrate that the stoichiometric LiFeAs is an intrinsically electron-overdoped superconductor similar to those of the electron-overdoped NaFe1-xTxAs and ... More

Coherently driving a single quantum two-level system with dichromatic laser pulsesMay 01 2019Efficient excitation of a single two-level system usually requires that the driving field is at the same frequency as the atomic transition. However, the scattered laser light in solid-state implementations can dominate over the single photons, imposing ... More

Observation of non-Fermi liquid behavior in hole-doped LiFe$_{1-x}$V$_x$AsApr 15 2016Sep 29 2016We synthesized a series of V-doped LiFe$_{1-x}$V$_x$As single crystals. The superconducting transition temperature $T_c$ of LiFeAs decreases rapidly at a rate of 7 K per 1\% V. The Hall coefficient of LiFeAs switches from negative to positive with 4.2\% ... More

Coexistence of orbital degeneracy lifting and superconductivity in iron-based superconductorsOct 17 2013Oct 29 2013In contrast to conventional superconducting (SC) materials, superconductivity in high-temperature superconductors (HTCs) usually emerges in the presence of other fluctuating orders with similar or higher energy scales, thus instigating debates over their ... More

Associated production of the scalars and new gauge bosons from a little Higgs model at the LHCNov 07 2007Nov 11 2007The littlest Higgs model with T-parity ($LHT$ model) predicts the existence of the T-odd scalars ($\phi^{\pm}$, $\phi^{0}$, and $\phi^{p}$). We consider production of these new particles associated with T-odd gauge bosons at the $LHC$. We find that the ... More

Production of the neutral top-pion $π_{t}^{0}$ in association with a high-$p_{T}$ jet at the $LHC$Sep 05 2008Dec 06 2008In the framework of the topcolor-assisted technicolor $(TC2)$ model, we study production of the neutral top-pion $\pi_{t}^{0}$ in association with a high-$p_{T}$ jet at the $LHC$, which proceeds via the partonic processes $gg\longrightarrow \pi_{t}^{0}g$, ... More

Production of mirror fermions via $eγ$ and $ep$ collisions in the littlest Higgs model with T-parityMar 30 2008One of the important features of the littlest Higgs model with T-parity, called the $LHT$ model, is that it introduces the mirror fermions, which are the T-parity partners of the standard model fermions. In this paper, we discuss production of the mirror ... More

Observation of Majorana conductance plateau by scanning tunneling spectroscopyApr 12 2019Majorana zero-modes (MZMs) are spatially-localized zero-energy fractional quasiparticles with non-Abelian braiding statistics that hold great promise for topological quantum computing. Due to its particle-antiparticle equivalence, an MZM exhibits perfect ... More

Orbital-differentiated coherence-incoherence crossover identified by photoemission spectroscopy in LiFeAsJul 11 2016In the iron-based superconductors (FeSCs), orbital differentiation is an important phenomenon, whereby correlations stronger on the dxy orbital than on the dxz/yz orbital yield quasi-particles with dxy} orbital character having larger mass renormalization ... More

Evidence for Multiple Underlying Fermi Surface and Isotropic Energy Gap in the Cuprate Parent Compound Ca$_2$CuO$_2$Cl$_2$May 28 2018The parent compounds of the high-temperature cuprate superconductors are Mott insulators. It has been generally agreed that understanding the physics of the doped Mott insulators is essential to understanding the mechanism of high temperature superconductivity. ... More

Two-dimensional InSe/WS$_2$ heterostructure with enhanced optoelectronic performance in the visible regionAug 05 2018Two-dimensional (2D) InSe and WS$_2$ exhibit promising characteristics for optoelectronic and photoelectrochemical applications, e.g. photodetection and photocatalytic water splitting. However, both of them have poor absorption of visible light due to ... More

Scalable boson sampling with a single-photon deviceMar 14 2016Mar 22 2016Boson sampling is a problem intractable for classical computers, but can be naturally solved on a specialized photonic quantum simulator which requires less resources than building a universal quantum computer. The biggest challenge to implement boson ... More

The Application of Bayesian Technique for Particle IdentificationFeb 24 2006Oct 26 2006The PID problem in high energy physics experiments is analysed with Bayesian technique. The corresponding applicable method is presented.

Asymptotics of cover times via Gaussian free fields: Bounded-degree graphs and general treesMar 22 2011Feb 25 2014In this paper we show that on bounded degree graphs and general trees, the cover time of the simple random walk is asymptotically equal to the product of the number of edges and the square of the expected supremum of the Gaussian free field on the graph, ... More

Partial Gauss decomposition, \bf $U_q(\widehat{\frak{gl}(n-1)})\in U_q(\widehat{\frak{gl}(n)}) $ and Zamolodchikov algebraJan 19 1998We use the idea of partial Gauss decomposition to study structures related to $U_q(\widehat{{{\frak{gl}}}(n-1)})$ inside $U_q(\widehat{{{\frak{gl}}}(n)}) $. This gives a description of $U_q(\widehat{{{\frak{gl}}}(n)})$ as an extension of $U_q(\widehat{{{\frak{gl}}}(n-1)})$ ... More

Hopf algebra extension of a Zamolochikov algebra and its doubleDec 04 1996Dec 05 1996The particles with a scattering matrix R(x) are defined as operators $\Phi_i(z)$ satisfying the relation $ R_{i,j}^{j',i'}(x_1/x_2) \Phi_{i'}(x_1)\Phi_{j'}(x_2)= \Phi_i(x_2)\Phi_j(x_1)$. The algebra generated by those operators is called a Zamolochikov ... More

On equivalence relations generated by Schauder basesApr 01 2015In this paper, a notion of Schauder equivalence relation $\mathbb R^\mathbb N/L$ is introduced, where $L$ is a linear subspace of $\mathbb R^\mathbb N$ and the unit vectors form a Schauder basis of $L$. The main theorem is to show that the following conditions ... More

Variational Analysis of the Ky Fan $k$-normJan 27 2016In this paper, we will study some variational properties of the Ky Fan $k$-norm $\theta=\|\cdot\|_{(k)}$ of matrices, which are closed related to a class of basic nonlinear optimization problems involving the Ky Fan $k$-norm. In particular, for the basic ... More

Cyclic Codes from Dickson PolynomialsJun 20 2012Due to their efficient encoding and decoding algorithms cyclic codes, a subclass of linear codes, have applications in consumer electronics, data storage systems, and communication systems. In this paper, Dickson polynomials of the first and second kind ... More

Renormalization and alpha-limit set for expanding Lorenz mapsMar 27 2007Jun 17 2009We show that there is a bijection between the renormalizations and proper completely invariant closed sets of expanding Lorenz map, which enable us to distinguish periodic and non-periodic renormalizations. Based on the properties of periodic orbit of ... More

Several Metric Properties of Level CurvesApr 21 2018This article establishes several remarkably simple identities relating certain metric invariants of level curves of real and complex functions. In particular, we relate lengths of level curves to their curvature and to the gradient field of the function. ... More

A trichotomy for a class of equivalence relationsJan 06 2010Let $X_n, n\in\Bbb N$ be a sequence of non-empty sets, $\psi_n:X_n^2\to\Bbb R^+$. We consider the relation $E((X_n,\psi_n)_{n\in\Bbb N})$ on $\prod_{n\in\Bbb N}X_n$ by $(x,y)\in E((X_n,\psi_n)_{n\in\Bbb N})\Leftrightarrow\sum_{n\in\Bbb N}\psi_n(x(n),y(n))<+\infty$. ... More

A remark on degenerate singularity in three dimensional Ricci flowSep 05 2007We show that a rescale limit at any degenerate singularity of Ricci flow in dimension 3 is a steady gradient soliton. In particular, we give a geometric description of type I and type II singularities.

Inverse of a matrix related to double zeta values of odd weightOct 21 2015In this paper, we give a proof of a conjecture made by Zagier about the inverse of some matrix related to double zeta values of parity $(\mathrm{even},\mathrm{odd})$. As a result, we obtain a family of Bernoulli number identities. We further generalize ... More

Characterizing Level-set Families of Harmonic FunctionsDec 05 2018Families of hypersurfaces that are level-set families of harmonic functions are characterized by a simple analytic condition. Harmonic functions with a specified level-set family are constructed from geometric data. Emphasis is placed on the two-variable ... More

On quantum cluster algebras of finite typeNov 07 2010Feb 24 2011We extend the definition of a quantum analogue of the Caldero-Chapoton map defined in \cite{rupel}. When $Q$ is a quiver of finite type, we prove that the algebra $\mathcal{AH}_{|k|}(Q)$ generated by all cluster characters (see Definition \ref{def}) is ... More

On the Schrödinger flowsApr 18 2003We present some recent results on the existence of solutions of the Schr\"odinger flows, and pose some problems for further research.

Connections between Double Zeta Values relative to $μ_N$, Hecke Operators $T_N$, and Newforms of Level $Γ_0(N)$ for $N=2,3$Nov 19 2015In this paper, we will study various connections between double zeta values relative to $\mu_N$, Hecke operators $T_N$, and newforms of level $\Gamma_0(N)$ for $N=2,3$. Those various connections generalize the well-known of Baumard and Schneps. We also ... More

Scaling window for mean-field percolation of averagesOct 14 2011Feb 15 2013For a complete graph of size $n$, assign each edge an i.i.d. exponential variable with mean $n$. For $\lambda>0$, consider the length of the longest path whose average weight is at most $\lambda$. It was shown by Aldous (1998) that the length is of order ... More

Exponential and double exponential tails for maximum of two-dimensional discrete Gaussian free fieldMay 29 2011Sep 25 2012We study the tail behavior for the maximum of discrete Gaussian free field on a 2D box with Dirichlet boundary condition after centering by its expectation. We show that it exhibits an exponential decay for the right tail and a double exponential decay ... More

Spinor representations of $U_q(\hat{\frak o}(N))$Feb 12 1996This is an extension of quantum spinor construction of $U_q(\hat {\frak gl}(n))$. We define quantum affine Clifford algebras based on the tensor category and the solutions of q-KZ equations, and construct quantum spinor representations of $U_q(\hat{\frak ... More

A remark on Gromov-Witten-Welschinger invariants of $\mathbb{C} P^3\#\overline{\mathbb{C} P}^3$Feb 20 2019We generalize the formula of Gromov-Witten-Welschinger invariants of $\mathbb{C} P^3$ established by E. Brugall\'e and P. Georgieva in [BG16b] to $\mathbb{C} P^3\#\overline{\mathbb{C} P}^3$. Using pencils of quadrics, some real and complex enumerative ... More