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Collective flow from AA, pA to pp collisions - Toward a unified paradigmApr 12 2017I give an overview of the latest development in understanding collective phenomena in high-multiplicity hadronic final state from relativistic nucleus-nucleus, proton-nucleus and proton-proton collisions. Upon reviewing the experimental data and confronting ... More

Partial Differential Chow Forms and a Type of Partial Differential Chow varietiesSep 07 2017We first present an intersection theory of partial differential varieties with quasi-generic differential hypersurfaces. Then based on the generic intersection theory, we define the partial differential Chow form for an irreducible partial differential ... More

Computation of Differential Chow Forms for Prime Differential IdealsJan 12 2015In this paper, we propose algorithms to compute differential Chow forms for prime differential ideals which are given by their characteristic sets. The main algorithm is based on an optimal bound for the order of a prime differential ideal in terms of ... More

Note on two results on the rainbow connection number of graphsOct 23 2011An edge-colored graph $G$, where adjacent edges may be colored the same, is rainbow connected if any two vertices of $G$ are connected by a path whose edges have distinct colors. The rainbow connection number $rc(G)$ of a connected graph $G$ is the smallest ... More

Is the Regge Trajectory Quasi-linear or Square-root Form?Oct 13 2016There are many orbital excited mesons discovered in recent years. In this work we attempt to study whether the Regge trajectory is quasi-linear or square-root form. In the framework of the quasi-linear Regge trajectory and square-root Regge trajectory, ... More

Spectral transfer for metaplectic groups. I. Local character relationsSep 22 2014Dec 03 2014Let $\widetilde{\mathrm{Sp}}(2n)$ be the metaplectic covering of $\mathrm{Sp}(2n)$ over a local field of characteristic zero. The core of the theory of endoscopy for $\widetilde{\mathrm{Sp}}(2n)$ is the geometric transfer of orbital integrals to its elliptic ... More

Electron multipacting in long-bunch beamSep 25 2015Sep 28 2015The electron multipacting is an important factor for the development of the electron cloud. There is a trailing-edge multipacting in the tail of the long-bunch beam. It can be described by the energy gain and motion of electrons. The analyses are in agreement ... More

Hard X-ray emissions from Cassiopeia A observed by INTEGRALMay 02 2016Cassiopeia A (Cas A) as the nearby young remnant of a core-collapse supernova is the best candidate for astrophysical studies in supernova explosion and its environment. We studied hard X-ray emissions from Cas A using the ten-year data of INTEGRAL observations, ... More

Optimal control problems of fully coupled FBSDEs and viscosity solutions of Hamilton-Jacobi-Bellman equationsFeb 05 2013In this paper we study stochastic optimal control problems of fully coupled forward-backward stochastic differential equations (FBSDEs). The recursive cost functionals are defined by controlled fully coupled FBSDEs. We study two cases of diffusion coefficients ... More

Closed-form, robust and accurate multi-frequency phase unwrapping: frequency design and algorithmApr 29 2016Feb 18 2017A closed-form algorithm, named "concerto", is proposed for phase-based distance estimation in multi-frequency phase unwrapping (MFPU) system. The concerto method consists of three coherent estimation stages,i.e., initial modified BW estimation, residual ... More

Exact Phase Transitions in Random Constraint Satisfaction ProblemsApr 16 2000In this paper we propose a new type of random CSP model, called Model RB, which is a revision to the standard Model B. It is proved that phase transitions from a region where almost all problems are satisfiable to a region where almost all problems are ... More

Transfert d'intégrales orbitales pour le groupe métaplectiqueJun 22 2009Jan 11 2010This paper develops a formalism of endoscopy for the metaplectic group. We define the notions of stable conjugacy, elliptic endoscopic groups, correspondence of semisimple geometric conjugacy classes and the transfer factors in this setting, then we establish ... More

Zeta integrals, Schwartz spaces and local functional equationsAug 23 2015Dec 15 2018According to Sakellaridis, many zeta integrals in the theory of automorphic forms can be produced or explained by appropriate choices of a Schwartz space of test functions on a spherical homogeneous space, which are in turn dictated by the geometry of ... More

Local Unitary Representation of Braids and N-Qubit EntanglementsJun 05 2017In this paper, by utilizing the idea of stabilizer codes, we give some relationships between one local unitary representation of braid group in N-qubit tensor space and the corresponding entanglement properties of the N-qubit pure state $|\Psi\rangle$, ... More

Contragredient representations over local fields of positive characteristicFeb 25 2018Jan 10 2019It is conjectured by Adams-Vogan and Prasad that under the local Langlands correspondence, the L-parameter of the contragredient representation equals that of the original representation composed with the Chevalley involution of the L-group. We verify ... More

On the generalized Feynman-Kac transformation for nearly symmetric Markov processesJan 01 2010Jan 05 2010Suppose $X$ is a right process which is associated with a non-symmetric Dirichlet form $(\mathcal{E},D(\mathcal{E}))$ on $L^{2}(E;m)$. For $u\in D(\mathcal{E})$, we have Fukushima's decomposition: $\tilde{u}(X_{t})-\tilde{u}(X_{0})=M^{u}_{t}+N^{u}_{t}$. ... More

La formule des traces pour les revêtements de groupes réductifs connexes. I. Le développement géométrique finApr 22 2010Jul 06 2011We study the genuine part of the Arthur-Selberg trace formula for some nonlinear covers of connected reductive groups. As a first step towards the invariant trace formula, we express the geometric side in terms of weighted orbital integrals. In particular, ... More

La formule des traces pour les revêtements de groupes réductifs connexes. III. Le développement spectral finJul 12 2011We pursue Arthur's invariant trace formula for certain coverings of connected reductive groups by deducing explicit formulas for its spectral side. This is based on some results in local harmonic analysis from an earlier preprint. The arguments are due ... More

La formule des traces pour les revêtements de groupes réductifs connexes. II. Analyse harmonique localeJul 10 2011Apr 22 2012We establish some results in local harmonic analysis which are necessary for Arthur's invariant trace formula for coverings of connected reductive groups. More precisely, for local coverings we will study (1) the Plancherel formula and its preparations, ... More

On inverse mean curvature flow in Schwarzschild space and Kottler spaceDec 18 2012Jul 18 2015In this paper, we first study the behavior of inverse mean curvature flow in Schwarzschild manifold. We show that if the initial hypersurface $\Sigma$ is strictly mean convex and star-shaped, then the flow hypersurface $\Sigma_t$ converges to a large ... More

A class of generalized positive linear maps on matrix algebrasApr 05 2017We construct a class of positive linear maps on matrix algebras. We find conditions when these maps are atomic, decomposable and completely positive. We obtain a large class of atomic positive linear maps. As applications in quantum information theory, ... More

Jordan Derivations and Lie derivations on Path AlgebrasMar 22 2012Without the faithful assumption, we prove that every Jordan derivation on a class of path algebras of quivers without oriented cycles is a derivation and that every Lie derivation on such kinds of algebras is of the standard form.

$L^p$ estimates for fully coupled FBSDEs with jumpsFeb 05 2013In this paper we study useful estimates, in particular $L^p$-estimates, for fully coupled forward-backward stochastic differential equations (FBSDEs) with jumps. These estimates are proved at one hand for fully coupled FBSDEs with jumps under the monotonicity ... More

Optimization in Multi-Frequency Interferometry Ranging: Theory and ExperimentFeb 07 2012Oct 07 2012Multi-frequency interferometry (MFI) is well known as an accurate phase-based measurement scheme. The paper reveals the inherent relationship of the unambiguous measurement range (UMR), the outlier probability, the MSE performance with the frequency pattern ... More

Edge States of Monolayer and Bilayer Graphene NanoribbonsJan 23 2010Jan 06 2012On the basis of tight-binding lattice model, the edge states of monolayer and bilayer graphene nanoribbons (GNRs) with different edge terminations are studied. The effects of edge-hopping modulation, spin-orbital coupling (SOC), and bias voltage on bilayer ... More

La formule des traces pour les revêtements de groupes réductifs connexes. IV. Distributions invariantesSep 19 2012Apr 27 2014We establish the invariant trace formula (\`a la Arthur) for the ad\'elic covers of connected reductive groups over a number field, under the hypothesis that the trace Paley-Wiener theorem is verified for all Levi subgroups at the real archimedean places. ... More

Le lemme fondamental pondéré pour le groupe métaplectiqueJun 24 2010We state a variant of Arthur's weighted fundamental lemma for the metaplectic group of Weil, which will be an essential ingredient of the stable trace formula. Over a local field of large enough residual characteristic, we give a proof using the method ... More

Complete cotorsion pairs in exact categoriesDec 18 2014Mar 07 2018We show a cotorsion pair cogenerated by a class is complete under suitable conditions in an arbitrary exact category using the generalized small object argument given by Chorny. This recovers Saor\'in and \v{S}\v{t}ov\'{i}\v{c}ek's criterion of the completeness ... More

Classification and rigidity of self-shrinkers in the Mean curvature flowJan 23 2012Sep 28 2012In this paper, we first use the method of Colding and Minicozzi [5] to show that K. Smoczyk's classification theorem [16] for complete self-shrinkers in higher codimension also holds under a weaker condition. Then as an application, we give some rigidity ... More

Enhanced Approximation of Labeled Multi-object Density based on Correlation AnalysisApr 05 2016May 08 2018Multi-object density is a fundamental descriptor of a point process and has ability to describe the randomness of number and values of objects, as well as the statistical correlation between objects. Due to its comprehensive nature, it usually has a complicate ... More

Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfacesMar 24 2007Given an algebraic surface $X$, the Hilbert scheme $X^{[n]}$ of $n$-points on $X$ admits a contraction morphism to the $n$-fold symmetric product $X^{(n)}$ with the extremal ray generated by a class $\beta_n$ of a rational curve. We determine the two ... More

Difference Chow FormAug 12 2013Aug 26 2013In this paper, the generic intersection theory for difference varieties is presented. Precisely, the intersection of an irreducible difference variety of dimension $d > 0$ and order $h$ with a generic difference hypersurface of order $s$ is shown to be ... More

Complete cotorsion pairs in exact categoriesDec 18 2014We discuss a generalized version of Quillen's small object argument in arbitrary categories. We use it to give a criterion for the construction of complete cotorsion pairs in arbitrary exact categories, which is a generalization of the recent result due ... More

Spherical Collapse for Viscous Generalized Chaplygin Gas ModelApr 03 2014Jul 18 2014The nonlinear collapse for viscous generalized Chaplygin gas Model (VGCG) was analyzed in the framework of spherical top-hat collapse. As the VGCG and baryons are essential to form the large scale structure, we focused on their nonlinear collapse in this ... More

Growth of Metastable High-Order Commensurate Overlayers of Pb on Cu(001)Sep 14 1992We studied the growth and ordering of a Pb layer deposited on Cu(001) at 150 K. Contrary to the case of adsorption of Pb at room temperature, islands readily form. These islands order in a high-order commensurate structure of symmetry ( sqrt(61) x sqrt(61) ... More

An Average Analysis of Backtracking on Random Constraint Satisfaction ProblemsMay 09 2000In this paper we propose a random CSP model, called Model GB, which is a natural generalization of standard Model B. It is proved that Model GB in which each constraint is easy to satisfy exhibits non-trivial behaviour (not trivially satisfiable or unsatisfiable) ... More

The SAT Phase TransitionMay 22 2000May 23 2000Phase transition is an important feature of SAT problem. For random k-SAT model, it is proved that as r (ratio of clauses to variables) increases, the structure of solutions will undergo a sudden change like satisfiability phase transition when r reaches ... More

Existence and Asymptotic Stability of Periodic Solutions for Impulsive Delay Evolution EquationsJan 02 2018In this paper, we are devoted to consider the periodic problem for the impulsive evolution equations with delay in Banach space. By using operator semigroups theory and fixed point theorem, we establish some new existence theorems of periodic mild solutions ... More

Stochastic differential games for fully coupled FBSDEs with jumpsFeb 05 2013This paper is concerned with stochastic differential games (SDGs) defined through fully coupled forward-backward stochastic differential equations (FBSDEs) which are governed by Brownian motion and Poisson random measure. For SDGs, the upper and the lower ... More

A hidden spatial-temporal Markov random field model for network-based analysis of time course gene expression dataMar 27 2008Microarray time course (MTC) gene expression data are commonly collected to study the dynamic nature of biological processes. One important problem is to identify genes that show different expression profiles over time and pathways that are perturbed ... More

Global hypoelliptic estimates for a linear model of non-cutoff Boltzmann equationJun 05 2011In this paper we study a linear model of spatially inhomogeneous Boltzmann equation without angular cutoff. Using the multiplier method introduced by F. H\'{e}rau and K. Pravda-Starov (2011), we establish the optimal global hypoelliptic estimate with ... More

A homotopy theory of additive categories with suspensionsMar 08 2017We develop a homotopy theory for additive categories endowed with endofunctors, analogous to the concept of a model structure. We use it to construct the homotopy theory of a Hovey triple (which consists of two compatible complete cotorsion pairs) in ... More

$f$-minimal surface and manifold with positive $m$-Bakry-Émery Ricci curvatureSep 05 2012In this paper, we first prove a compactness theorem for the space of closed embedded $f$-minimal surfaces of fixed topology in a closed three-manifold with positive Bakry-\'{E}mery Ricci curvature. Then we give a Lichnerowicz type lower bound of the first ... More

Lower volume growth estimates for Self-shrinkers of mean curvature flowDec 05 2011Jan 23 2012We obtain a Calabi-Yau type lower volume growth estimates for complete noncompact self-shrinkers of the mean curvature flow, more precisely, every complete noncompact properly immersed self-shrinker has at least linear volume growth.

A note on model structures on arbitrary Frobenius categoriesOct 14 2015Dec 29 2016We show that there is a model structure in the sense of Quillen on an arbitrary Frobenius category $\F$ such that the homotopy category of this model structure is equivalent to the stable category $\underline{\F}$ as triangulated categories.

Fuzzy alternating $\mathrm{B\ddot{u}chi}$ automata over distributive latticesMar 15 2016We give a new version of fuzzy alternating $\mathrm{B\ddot{u}chi}$ automata over distributive lattices: weights are putting in every leaf node of run trees rather than along with edges from every node to its children. Such settings are great benefit to ... More

Global Hypoellipticity and Compactness of Resolvent for Fokker-Planck OperatorOct 06 2009Sep 11 2010In this paper we study the Fokker-Planck operator with potential V(x), and analyze some kind of conditions imposed on the potential to ensure the validity of global hypoelliptic estimates. As a consequence, we obtain the compactness of resolvent of the ... More

A survey of recent results in (generalized) graph entropiesMay 18 2015May 19 2015The entropy of a graph was first introduced by Rashevsky \cite{Rashevsky} and Trucco \cite{Trucco} to interpret as the structural information content of the graph and serve as a complexity measure. In this paper, we first state a number of definitions ... More

Hierarchical Gated Recurrent Neural Tensor Network for Answer TriggeringSep 17 2017In this paper, we focus on the problem of answer triggering ad-dressed by Yang et al. (2015), which is a critical component for a real-world question answering system. We employ a hierarchical gated recurrent neural tensor (HGRNT) model to capture both ... More

A homotopy theory of additive categories with suspensionsOct 08 2015Jul 03 2016We define partial one-sided triangulated categories by weakening the axioms of one-sided triangulated categories. We show that additive categories, exact categories, one-sided triangulated categories, complete cotorsion pairs in exact categories, torsion ... More

Neutrino Masses, Dark Matter and B-L Symmetry at the LHCApr 02 2010Oct 18 2010We establish a hybrid seesaw mechanism to explain small neutrino masses and predict cold dark matter candidate in the context of the B-L gauge symmetry extension of the Standard Model. In this model a new scalar doublet and two new fermion singlets are ... More

Tuning Parameter Calibration in High-dimensional Logistic Regression With Theoretical GuaranteesOct 01 2016Feature selection is a standard approach to understanding and modeling high-dimensional classification data, but the corresponding statistical methods hinge on tuning parameters that are difficult to calibrate. In particular, existing calibration schemes ... More

Individual strategies in complementarity games and population dynamicsMay 07 2004May 09 2004We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of them pushes ... More

Metal Adatom Induced Corrugation of Cu(001)Sep 14 1992We report the discovery of a metal adatom induced corrugation of Cu(001) as probed by atom beam scattering (ABS). At Pb or Bi coverages of 0.05 (fraction of Cu layer), and while a (1$\times$1) LEED pattern is still observed, the ABS diffraction pattern ... More

Compactness Criteria for the Resolvent of the Fokker-Planck operatorOct 06 2015Oct 09 2016In this paper we study the spectral property of a Fokker-Planck operator with potential. By virtue of a multiplier method inspired by Nicolas Lerner, we obtain new compactness criteria for its resolvent, involving the control of the positive eigenvalues ... More

Stability of Differentially Rotating Disks in $f(T)$ TheoryJan 07 2016Oct 08 2016To explain the accelerated expansion of our universe, many dark energy models and modified gravity theories have been proposed so far. It is argued in the literature that they are difficult to be distinguished on the cosmological scales. Therefore, it ... More

Cancer Metastasis Detection With Neural Conditional Random FieldJun 19 2018Breast cancer diagnosis often requires accurate detection of metastasis in lymph nodes through Whole-slide Images (WSIs). Recent advances in deep convolutional neural networks (CNNs) have shown significant successes in medical image analysis and particularly ... More

Properties of positive solutions of an Elliptic Equation with negative exponentsJun 14 2007In this paper, we study the existence and non-existence result of positive solutions to a singular elliptic equation with negative power on the bounded smooth domain or in the whole Euclidean space. Our model arises in the study of the steady states of ... More

Jordan Derivations of some extension algebrasMar 02 2013In this paper, we mainly study Jordan derivations of dual extension algebras and those of generalized one-point extension algebras. It is shown that every Jordan derivation of dual extension algebras is a derivation. As applications, we obtain that every ... More

The effect on the spectral radius of r-graphs by grafting or contracting edgesAug 22 2018Let $\mathcal{H}^{(r)}_n$ be the set of all connected $r$-graphs with given size $n$. In this paper, we investigate the effect on the spectral radius of $r$-uniform hypergraphs by grafting or contracting an edge and then give the ordering of the $r$-graphs ... More

Stable conjugacy and epipelagic L-packets for Brylinski-Deligne covers of Sp(2n)Mar 13 2017Apr 26 2017Let $F$ be a local field of characteristic not $2$. We propose a definition of stable conjugacy for all the covering groups of $\mathrm{Sp}(2n,F)$ constructed by Brylinski and Deligne, whose degree we denote by $m$. To support this notion, we follow Kaletha's ... More

Towards generalized prehomogeneous zeta integralsOct 19 2016Oct 16 2017Let $X$ be a prehomogeneous vector space under a connected reductive group $G$ over $\mathbb{R}$. Assume that the open $G$-orbit $X^+$ admits a finite covering by a symmetric space. We study certain zeta integrals involving (i) Schwartz functions on $X$, ... More

Spectral transfer for metaplectic groups. I. Local character relationsSep 22 2014Oct 30 2016Let $\widetilde{\mathrm{Sp}}(2n)$ be the metaplectic covering of $\mathrm{Sp}(2n)$ over a local field of characteristic zero. The core of the theory of endoscopy for $\widetilde{\mathrm{Sp}}(2n)$ is the geometric transfer of orbital integrals to its elliptic ... More

The realization of Verdier quotients as triangulated subfactorsDec 26 2016Sep 15 2017We give a method to realize Verdier quotients as triangulated subfactors of an arbitrary triangulated category. We show that Iyama-Yoshino triangulated subfactors are Verdier quotients under suitable conditions.

New rigorous perturbation bounds for the LU and QR factorizationsMay 01 2014May 23 2014Combining the modified matrix-vector equation approach with the technique of Lyapunov majorant function and the Banach fixed point principle, we obtain new rigorous perturbation bounds for the LU and QR factorizations with normwise or componentwise perturbations ... More

Sharp diameter estimates for compact manifold with boundaryJun 17 2013Let $(N,g)$ be an $n$-dimensional complete Riemannian manifold with nonempty boundary $\pt N$. Assume that the Ricci curvature of $N$ has a negative lower bound $Ric\geq -(n-1)c^2$ for some $c>0$, and the mean curvature of the boundary $\pt N$ satisfies ... More

The generalized connectivity of complete bipartite graphsDec 28 2010Let $G$ be a nontrivial connected graph of order $n$, and $k$ an integer with $2\leq k\leq n$. For a set $S$ of $k$ vertices of $G$, let $\kappa (S)$ denote the maximum number $\ell$ of edge-disjoint trees $T_1,T_2,...,T_\ell$ in $G$ such that $V(T_i)\cap ... More

Zeta integrals, Schwartz spaces and local functional equationsAug 23 2015According to Sakellaridis, many zeta integrals in the theory of automorphic forms can be produced or explained by appropriate choices of a Schwartz space of test functions on a spherical homogeneous space, which are in turn dictated by the geometry of ... More

Almost All Even Yao-Yao Graphs Are SpannersApr 20 2016Jun 22 2016It is an open problem whether Yao-Yao graphs $\mathsf{YY}_k$ (also known as sparse-Yao graphs) are all spanners when the integer parameter $k$ is large enough. In this paper we show that, for any integer $k\geq 42$, the Yao-Yao graph $\mathsf{YY}_{2k}$ ... More

K-Commuting Mappings of Generalized Matrix AlgebrasNov 27 2011Motivated by the intensive and powerful works of Beidar and Bresar, we will study k-commuting mappings of generalized matrix algebras in this article. The general form of arbitrary k-commuting mapping of a generalized matrix algebra is determined. It ... More

Lie Derivations of Dual Extension AlgebrasMar 02 2013Let $K$ be a field and $\Gamma$ a finite quiver without oriented cycles. Let $\Lambda$ be the path algebra $K(\Gamma, \rho)$ and let $\mathscr{D}(\Lambda)$ be the dual extension of $\Lambda$. In this paper, we prove that each Lie derivation of $\mathscr{D}(\Lambda)$ ... More

Systematic Search and A New Family of Skyrmion MaterialsFeb 12 2015Magnetic skyrmions have recently attracted great attentions. However they are harbored in very limited numbers of magnets up to now. The search of new helimagnetic materials is thus an urgent topic in the field of skyrmion physics. In this letter, we ... More

On the Average Similarity Degree between Solutions of Random k-SAT and Random CSPsAug 11 2000Apr 07 2002To study the structure of solutions for random k-SAT and random CSPs, this paper introduces the concept of average similarity degree to characterize how solutions are similar to each other. It is proved that under certain conditions, as r (i.e. the ratio ... More

Many Hard Examples in Exact Phase Transitions with Application to Generating Hard Satisfiable InstancesFeb 01 2003Nov 11 2003This paper first analyzes the resolution complexity of two random CSP models (i.e. Model RB/RD) for which we can establish the existence of phase transitions and identify the threshold points exactly. By encoding CSPs into CNF formulas, it is proved that ... More

On a pairing of Goldberg-Shahidi for even orthogonal groupsMar 21 2012Jan 10 2013Let {\sigma}\otimes{\pi} be a supercuspidal representation of SO(2n) \times GL(2n) over a p-adic field with {\pi} selfdual, where SO(2n) stands for a quasisplit even special orthogonal group. In order to study its normalized parabolic induction to SO(6n), ... More

Basic functions and unramified local L-factors for split groupsNov 11 2013Feb 24 2014According to a program of Braverman, Kazhdan and Ng\^o Bao Ch\^au, for a large class of split unramified reductive groups $G$ and representations $\rho$ of the dual group $\hat{G}$, the unramified local $L$-factor $L(s,\pi,\rho)$ can be expressed as the ... More

The triangulation of the subfactor categories of additive categories with suspensionsOct 08 2015Feb 22 2017We provide a framework to triangulate subfactor categories of additive categories with additive endofunctors. It is proved that such a framework is sufficiently flexible to cover many instances in algebra and geometry where abelian, exact and triangulated ... More

Low Energy Gauge Unification TheoryJul 12 2002Because of the problems arising from the fermion unification in the traditional Grand Unified Theory and the mass hierarchy between the 4-dimensional Planck scale and weak scale, we suggest the low energy gauge unification theory with low high-dimensional ... More

A homotopy theory of Nakaoka twin cotorsion pairsMar 25 2017May 07 2017We show that the Verdier quotients can be realized as subfactors by the homotopy theory of additive categories with suspensions developed in \cite{ZWLi2, ZWLi3}. As applications, we develop the homotopy theory of Nakaoka twin cotorsion pairs of triangulated ... More

Computing the permanental polynomials of bipartite graphs by Pfaffian orientationOct 06 2010The permanental polynomial of a graph $G$ is $\pi(G,x)\triangleq\mathrm{per}(xI-A(G))$. From the result that a bipartite graph $G$ admits an orientation $G^e$ such that every cycle is oddly oriented if and only if it contains no even subdivision of $K_{2,3}$, ... More

Stability of Differentially Rotating Disks in $f(T)$ TheoryJan 07 2016Oct 24 2016To explain the accelerated expansion of our universe, many dark energy models and modified gravity theories have been proposed so far. It is argued in the literature that they are difficult to be distinguished on the cosmological scales. Therefore, it ... More

Asymptotic results for exponential functionals of Levy processesJan 11 2016Feb 06 2016In this work we give a complete description to the asymptotic behaviors of exponential functionals of L\'evy processes and divide them into five different types according to their convergence rates. Not only their exact convergence speeds are proved, ... More

Closed-Form Error Analysis on RSS-based Indoor Localization MethodFeb 07 2017Dec 13 2017Received Signal Strength (RSS) is considered as a promising measurement for indoor positioning. Lots of RSS-based localization methods have been proposed by its convenience and low cost. This paper focuses on two challenging issues in RSS-based localization ... More

Synchronized output regulation of nonlinear multi-agent systemsJun 30 2013This paper considers the synchronized output regulation (SOR) problem of nonlinear multi-agent systems with switching graph. The SOR means that all agents regulate their outputs to synchronize on the output of a predefined common exosystem. Each agent ... More

Relationship between Characteristic Lengths and Effective Saffman Length in Colloidal Monolayers near a Water-Oil InterfaceDec 27 2018The hydrodynamic interactions (HIs) in colloidal monolayers are strongly influenced by the boundary conditions and can be directly described in terms of the cross-correlated diffusion of the colloid particles. In this work, we experimentally measured ... More

Positive periodic solutions for abstract evolution equations with delayJan 02 2018In this paper, we discuss the existence and asymptotic stability of the positive periodic mild solutions for the abstract evolution equation with delay in an ordered Banach space $E$, $$u'(t)+Au(t)=F(t,u(t),u(t-\tau)),\ \ \ \ t\in\R,$$ where $A:D(A)\subset ... More

Kosterlitz-Thouless transitions and phase diagrams of the interacting monomer-dimer model on a checkerboard latticeApr 07 2015Using the tensor network approach, we investigate the monomer-dimer models on a checkerboard lattice, in which there are interactions (with strength $\nu$) between the parallel dimers on half of the plaquettes. For the fully packed interacting dimer model, ... More

Determining the Dust Extinction of Gamma-ray Burst Host Galaxies: A Direct Method Based on Optical and X-ray PhotometryDec 17 2007The dust extinction of gamma-ray bursts (GRBs) host galaxies, containing important clues to the nature of GRB progenitors and crucial for dereddening, is still poorly known. Here we propose a straightforward method to determine the extinction of GRB host ... More

Rainbow triangles in arc-colored digraphsOct 14 2018Let $D$ be an arc-colored digraph. The arc number $a(D)$ of $D$ is defined as the number of arcs of $D$. The color number $c(D)$ of $D$ is defined as the number of colors assigned to the arcs of $D$. A rainbow triangle in $D$ is a directed triangle in ... More

Vanishing pseudogap around $(π,0)$ in an electron-doped high-$\mathrm{T_{c}}$ superconductor: a simple pictureMar 22 2018Aug 10 2018Recent ARPES measurement on electron-doped cuprate $\mathrm{Pr}_{1.3-x}\mathrm{La}_{0.7}\mathrm{Ce}_{x}\mathrm{CuO}_{4}$ finds that the pseudogap along the boundary of the antiferromagnetic Brillouin zone(AFBZ) exhibits dramatic momentum dependence. In ... More

Well-posedness in Gevrey function space for the three-dimensional Prandtl equationsAug 28 2017Oct 06 2017In the paper, we study the three-dimensional Prandtl equations, and prove that if one component of the tangential velocity field satisfies the monotonicity assumption in the normal direction, then the system is locally well-posed in the Gevrey function ... More

Embedded eigenvalues for the Neumann-Poincaré operatorJun 04 2018Mar 02 2019The Neumann-Poincar\'e operator is a boundary-integral operator associated with harmonic layer potentials. This article proves the existence of eigenvalues within the essential spectrum for the Neumann-Poincar\'e operator for certain Lipschitz curves ... More

Spiral wave chimeras in locally coupled oscillator systemsAug 14 2015The recently discovered chimera state involves the coexistence of synchronized and desynchronized states for a group of identical oscillators. This fascinating chimera state has until now been found only in non-local or globally coupled oscillator systems. ... More

Donaldson-Thomas invariants of certain Calabi-Yau 3-foldsFeb 22 2010We compute the Donaldson-Thomas invariants for two types of Calabi-Yau 3-folds. These invariants are associated to the moduli spaces of rank-2 Gieseker semistable sheaves. None of the sheaves are locally free, and their double duals are locally free stable ... More

Nonadiabatic population transfer in a tangent-pulse driven quantum modelAug 02 2016Jun 17 2018Fine control of the dynamics of a quantum system is the key element to perform quantum information processing and coherent manipulations for atomic and molecular systems. In this paper we propose a control protocol using a tangent-pulse driven model and ... More

Strongly correlated two-photon transport in a one-dimensional waveguide coupled to a weakly nonlinear cavityJul 23 2014We study the photon-photon correlation properties of two-photon transport in a one-dimensional waveguide coupled to a nonlinear cavity via a real-space approach. It is shown that the intrinsic dissipation of the nonlinear cavity has an important effect ... More

Strong photon antibunching of symmetric and antisymmetric modes in weakly nonlinear photonic moleculesJun 06 2014Aug 14 2014We study the photon statistics of symmetric and antisymmetric modes in a photonic molecule consisting of two linearly coupled nonlinear cavity modes. Our calculations show that strong photon antibunching of both symmetric and antisymmetric modes can be ... More

Detect the orbital distribution of the magnetic fluctuation in the Iron-based superconductors with resonant inelastic X-ray scattering spectroscopyJan 08 2016Detecting the orbital distribution of the magnetic fluctuation of the Iron-based superconductors is the key to understand the mechanism for the magnetism, superconductivity and electronic nematicity in these multi-orbital systems. In this work, we propose ... More

Optical Theorem in Nonlinear MediaJun 30 2015We consider the optical theorem for scattering of electromagnetic waves in nonlinear media. This result is used to obtain the power extinguished from a field by a nonlinear scatterer. The cases of second harmonic generation and the Kerr effect are studied ... More

Diffusivities bounds and chaos in holographic Horndeski theoriesMay 04 2017Jul 21 2017We study the thermoelectric DC conductivities of Horndeski holographic models with momentum dissipation. We compute the butterfly velocity $v_B$ and we discuss the existence of universal bounds on charge and energy diffusivities in the incoherent limit ... More