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Prototype of a transient waveform recording ASICJul 05 2019The paper presents the design and measurement results of a transient waveform recording ASIC based on the Switched Capacitor Array (SCA) architecture. This 0.18 {\mu}m CMOS prototype device contains two channels and each channel employs a SCA of 128 samples ... More

An overdetermined linear equations-based time calibration method for fast sampling ASICsJul 05 2019A novel time calibration method for waveform sampling application specific integrated circuits (ASICs) based on switched capacitor arrays (SCAs) is proposed in this paper. Precision timing extraction using SCA ASICs has been proved to be a promising technique ... More

New Variables For Graviton Scattering AmplitudesMay 01 2012Motivated by the success of Hodges' momentum twistor variables in planar Yang-Mills, in this note we introduce a set of new variables, the S variables, which are tailored for gravity (or more generally for theories without color ordering). The S variables ... More

Memory effects in quantum metrologyApr 15 2019Quantum metrology concerns estimating a parameter from multiple identical uses of a quantum channel. We extend quantum metrology beyond this standard setting and consider estimation of a physical process with quantum memory, here referred to as a parametrized ... More

Global existence and boundedness in a chemotaxis-Stokes system with slow $p$-Laplacian diffusionSep 10 2018Sep 12 2018This paper deals with a boundary-value problem in three-dimensional smooth bounded convex domains for the coupled chemotaxis-Stokes system with slow $p$-Laplacian diffusion \begin{equation}\nonumber \left\{ \begin{aligned} &n_t+u\cdot\nabla n=\nabla\cdot\left(|\nabla ... More

Quantum superreplication of states and gatesDec 18 2015Mar 13 2016While the no-cloning theorem forbids the perfect replication of quantum information, it is sometimes possible to produce large numbers of replicas with vanishingly small error. This phenomenon, known as quantum superreplication, can take place both for ... More

Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with slow $p$-Laplacian diffusionMar 06 2018Mar 07 2018This paper investigates an incompressible chemotaxis-Navier-Stokes system with slow $p$-Laplacian diffusion \begin{eqnarray} \left\{\begin{array}{lll} n_t+u\cdot\nabla n=\nabla\cdot(|\nabla n|^{p-2}\nabla n)-\nabla\cdot(n\chi(c)\nabla c),& x\in\Omega,\ ... More

A Low-Power Accelerator for Deep Neural Networks with Enlarged Near-Zero SparsityMay 22 2017It remains a challenge to run Deep Learning in devices with stringent power budget in the Internet-of-Things. This paper presents a low-power accelerator for processing Deep Neural Networks in the embedded devices. The power reduction is realized by avoiding ... More

The first Super Massive Black Holes: indications from models for future observationsFeb 21 2019We present an exploration of the expected detection of the earliest Active Galactic Nuclei (AGN) in the Universe from state-of-art galaxy formation and evolution semi-analytic models and hydro-dynamical simulations. We estimate the number and radiative ... More

Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objectsJun 12 2015Jun 08 2016We present a high-order accurate boundary-based solver for three-dimensional (3D) frequency-domain scattering from a doubly-periodic grating of smooth axisymmetric sound-hard or transmission obstacles. We build the one-obstacle solution operator using ... More

Automatic finite element implementation of hyperelastic material with a double numerical differentiation algorithmJun 13 2016In order to accelerate implementation of hyperelastic materials for finite element analysis, we developed an automatic numerical algorithm that only requires the strain energy function. This saves the effort on analytical derivation and coding of stress ... More

Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2Oct 26 2005Oct 27 2005Let $(M,g)$ be a 2-dimensional compact Riemannian manifold. In this paper, we use the method of blowing up analysis to prove several Moser-Trdinger type inequalities for vector bundle over $(M,g)$. We also derive an upper bound of such inequalities under ... More

Optimal compression for identically prepared qubit statesJun 09 2016Jul 28 2016We establish the ultimate limits to the compression of sequences of identically prepared qubits. The limits are determined by Holevo's information quantity and are attained through use of the optimal universal cloning machine, which finds here a novel ... More

Certifying quantumness: Benchmarks for the optimal processing of generalized coherent and squeezed statesJul 15 2014Oct 17 2014Quantum technology promises revolutionary advantages in information processing and transmission compared to classical technology; however, determining which specific resources are needed to surpass the capabilities of classical machines often remains ... More

Dark-ages Reionization and Galaxy Formation Simulation - XVII. Sizes, angular momenta and morphologies of high redshift galaxiesApr 02 2019We study the sizes, angular momenta and morphologies of high-redshift galaxies using an update of the Meraxes semi-analytic galaxy evolution model. Our model successfully reproduces a range of observations from redshifts $z=0$-$10$. We find that the effective ... More

Efficient Quantum Compression for Ensembles of Identically Prepared Mixed StatesJun 11 2015Feb 24 2016We present one-shot compression protocols that optimally encode ensembles of $N$ identically prepared mixed states into $O(\log N)$ qubits. In contrast to the case of pure-state ensembles, we find that the number of encoding qubits drops down discontinuously ... More

Dark-ages Reionization and Galaxy Formation Simulation -- XVII. Sizes, angular momenta and morphologies of high redshift galaxiesApr 02 2019Jun 29 2019We study the sizes, angular momenta and morphologies of high-redshift galaxies using an update of the Meraxes semi-analytic galaxy evolution model. Our model successfully reproduces a range of observations from redshifts $z=0$-$10$. We find that the effective ... More

$Z \to π^+π^-, K^+K^-$: A touchstone of the PQCD approachOct 24 2018Feb 03 2019We study two rare decays, $Z \to \pi^+\pi^-$ and $K^+K^-$, in the perturbative QCD approach up to the next-to-leading order of the strong coupling and the leading power of $1/m_Z$, $m_Z$ being the $Z$ boson mass. The branching ratios $\mathcal{B}(Z\to ... More

Dark-Ages Reionisation & Galaxy Formation Simulation XVI: The Thermal Memory of ReionisationApr 12 2019Intergalactic medium temperature is a powerful probe of the epoch of reionisation, as information is retained long after reionisation itself. However, mean temperatures are highly degenerate with the timing of reionisation, with the amount heat injected ... More

Dark-ages Reionization and Galaxy Formation Simulation - XIV. Gas accretion, cooling and star formation in dwarf galaxies at high redshiftFeb 12 2018Aug 06 2018We study dwarf galaxy formation at high redshift ($z\ge5$) using a suite of high- resolution, cosmological hydrodynamic simulations and a semi-analytic model (SAM). We focus on gas accretion, cooling and star formation in this work by isolating the relevant ... More

Dark-ages Reionization and Galaxy Formation Simulation - XV. Stellar evolution and feedback in dwarf galaxies at high redshiftAug 10 2018We directly compare predictions of dwarf galaxy properties in a semi-analytic model (SAM) with those extracted from a high-resolution hydrodynamic simulation. We focus on galaxies with halo masses of 1e9<Mvir/Msol<1e11 at high redshift ($z\ge5$). We find ... More

Dark-ages Reionization and Galaxy Formation Simulation - XIII. AGN quenching of high-redshift star formation in ZF-COSMOS-20115Apr 11 2017Aug 25 2017Massive quiescent galaxies (MQGs) are thought to have formed stars rapidly at early times followed by a long period of quiescence. The recent discovery of a MQG, ZF-COSMOS-20115 at $z\sim4$, only 1.5 Gyr after the big bang, places new constraints on galaxy ... More

Remarks on the Extremal Functions for the Moser-Trudinger InequalitiesApr 15 2005Jul 28 2005We will show in this paper that if $\lambda$ is very close to 1, then $$I(M,\lambda,m)= \sup_{u\in H^{1,n}_0(M) ,\int_M|\nabla u|^ndV=1}\int_\Omega (e^{\alpha_n |u|^\frac{n}{n-1}}-\lambda\sum\limits_{k=1}^m\frac{|\alpha_nu^\frac{n}{n-1}|^k} {k!})dV,$$ ... More

Optimal conditions for $L^\infty$-regularity and a priori estimates for elliptic systems, II: $n(\geq 3)$ componentsMay 29 2008In this paper, we present a bootstrap procedure for general elliptic systems with $n(\geq 3)$ components. Combining with the $L^p$-$L^q$-estimates, it yields the optimal $L^\infty$-regularity conditions for the three well-known types of weak solutions: ... More

Optimal conditions for $L^\infty$-regularity and a priori estimates for elliptic systems, I: two componentsMay 29 2008In this paper we present a new bootstrap procedure for elliptic systems with two unknown functions. Combining with the $L^p$-$L^q$-estimates, it yields the optimal $L^\infty$-regularity conditions for the three well-known types of weak solutions: $H_0^1$-solutions, ... More

Color imaging through the scattering media based on phase retrieval with triple correlationJan 31 2019Light passing through scattering media will be strongly scattered and diffused into complex speckle pattern, which however contains almost all the spatial information and color information of the objects. Although various technologies have been proposed ... More

Weak limit of an immersed surface sequence with bounded Willmore functionalSep 07 2011We will study the blowup behavior of a surface sequence immersed in $R^2$ with bounded Willmore functional and fixed genus.

Dark-ages Reionization and Galaxy Formation Simulation - XIV. Gas accretion, cooling and star formation in dwarf galaxies at high redshiftFeb 12 2018We study dwarf galaxy formation at high redshift ($z\ge5$) using a suite of high-resolution, cosmological hydrodynamic simulations and a semi-analytic model (SAM). We focus on gas accretion, cooling and star formation in this work by isolating the relevant ... More

Testing of Front-End Readout Prototype ASICs Designed for WCDA in LHAASOJun 24 2018The water Cherenkov detector array (WCDA) is one of the key detectors in the large high altitude air shower observatory (LHAASO), which is proposed for very high gamma ray source survey. In WCDA, there are more than 3000 photomultiplier tubes (PMTs) scattered ... More

Crystal Structure and Elastic Properties of Hypothesized MAX Phase-like Compound (Cr2Hf)2Al3C3Jun 15 2013Feb 20 2014The term "MAX phase" refers to a very interesting and important class of layered ternary transition-metal carbides and nitrides with a novel combination of both metal and ceramic-like properties that have made these materials highly regarded candidates ... More

A simplification of the proof of the existence of the extremal function for the Moser-Trudinger inequalityJun 10 2005Sep 13 2006In a previous paper, the author proved the existence of extremal function for the Moser-Trudinger inequality on a compact manifold. In the this paper, we will give a new proof of one of the key proposition.

Chandra Studies of the X-ray Gas Properties of Fossil SystemsSep 13 2015We study ten galaxy groups and clusters suggested in the literature to be "fossil system (FS)" based on \chandra\ observations. According to the $M_{500}-T$ and $L_{\rm X}-T$ relations, the gas properties of FSs are not physically distinct from ordinary ... More

Recollements and homological dimensionsJun 21 2016We investigate the behavior of the homological dimensions under recollements of derived categories of algebras. In particular, we establish a series of new bounds among the selfinjective dimension or $\phi$-dimension of the algebras linked by recollements ... More

Automated 3D recovery from very high resolution multi-view satellite imagesMay 17 2019This paper presents an automated pipeline for processing multi-view satellite images to 3D digital surface models (DSM). The proposed pipeline performs automated geo-referencing and generates high-quality densely matched point clouds. In particular, a ... More

Triangular bases in quantum cluster algebras and monoidal categorification conjecturesJan 16 2015Sep 26 2016We consider the quantum cluster algebras which are injective-reachable and introduce a triangular basis in every seed. We prove that, under some initial conditions, there exists a unique common triangular basis with respect to all seeds. This basis is ... More

A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficientsOct 09 2018Linear Hamiltonian systems with time-dependent coefficients are of importance to nonlinear Hamiltonian systems, accelerator physics, plasma physics, and quantum physics. It is shown that the solution map of a linear Hamiltonian system with time-dependent ... More

On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert ManifoldsDec 16 2010This paper proves some results on negative gradient dynamics of Morse functions on Hilbert manifolds. It contains the compactness of flow lines, manifold structures of certain compacti- fied moduli spaces, orientation formulas, and CW structures of the ... More

Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spacesJun 15 2019In this paper, we establish the uniquely existence of the global mild solution to the nematic liquid crystal equations in Besov-Morrey spaces. Some self-similarity and large time behavior of the global mild solution are also investigated.

Faster Treasure Hunt and Better Strongly Universal Exploration SequencesApr 24 2012In this paper, we investigate the explicit deterministic treasure hunt problem in a $n$-vertex network. This problem was firstly introduced by Ta-Shma and Zwick in \cite{TZ07} [SODA'07]. Note also it is a variant of the well known rendezvous problem in ... More

Status and prospects for BESIIIDec 01 2013In this paper the status and prospects for BESIII is presented.The BEPCII machine is in good status and recently reached its highest luminosity of 7.08*10^32cm^-2s^-1. The BESIII detectors have been running stably since 2009. Upgrade plans for its sub-detectors ... More

Compare triangular bases of acyclic quantum cluster algebrasJun 17 2016Given a quantum cluster algebra, we show that its triangular bases defined by Berenstein and Zelevinsky and those defined by the author are the same for the seeds associated with acyclic quivers. This result implies that the Berenstein-Zelevinsky's basis ... More

A network model for cellular agingMay 24 2013Dec 17 2013What is aging? Mechanistic answers to this question remain elusive despite decades of research. Here, we propose a mathematical model of cellular aging based on a model gene interaction network. Our network model is made of only non-aging components - ... More

Quantum Cluster Variables via Serre PolynomialsApr 23 2010Jul 13 2010For skew-symmetric acyclic quantum cluster algebras, we express the quantum $F$-polynomials and the quantum cluster monomials in terms of Serre polynomials of quiver Grassmannians of rigid modules. As byproducts, we obtain the existence of counting polynomials ... More

Triangular bases in quantum cluster algebras and monoidal categorification conjecturesJan 16 2015Dec 15 2016We consider the quantum cluster algebras which are injective-reachable and introduce a triangular basis in every seed. We prove that, under some initial conditions, there exists a unique common triangular basis with respect to all seeds. This basis is ... More

An application of topological equivalence to Morse theoryFeb 14 2011In a previous paper, under the assumption that the Riemannian metric is special, the author proved some results about the moduli spaces and CW structures arising from Morse theory. By virtue of topological equivalence, this paper extends those results ... More

On the Communication Complexity of Distributed ClusteringJun 30 2015Aug 07 2015In this paper we give a first set of communication lower bounds for distributed clustering problems, in particular, for k-center, k-median and k-means. When the input is distributed across a large number of machines and the number of clusters k is small, ... More

Farrell cohomology of low genus pure mapping class groups with puncturesJul 22 2002In this paper, we calculate the p-torsion of the Farrell cohomology for low genus pure mapping class groups with punctures, where p is an odd prime. Here, `low genus' means g=1,2,3; and `pure mapping class groups with punctures' means the mapping class ... More

Noncommutative maximal ergodic inequality for non-tracial L1-spacesFeb 22 2011We extend the noncommutative L1-maximal ergodic inequality for semifinite von Neumann algebras established by Yeadon in 1977 to the framework of noncommutative L1-spaces associated with sigma-finite von Neumann algebras. Since the semifnite case of this ... More

Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactionsAug 12 2018Nov 20 2018In a recent experiment [P. Peng, $et$ $al.$, Phys. Rev. A \textbf{97}, 012702 (2018)], it has been shown that the $p$-wave Feshbach resonance can be shifted toward the $s$-wave Feshbach resonance by a laser field. Based on this experiment, we study the ... More

Quantum groups via cyclic quiver varieties IDec 04 2013Mar 10 2015We construct the quantized enveloping algebra of any simple Lie algebra of type ADE as the quotient of a Grothendieck ring arising from certain cyclic quiver varieties. In particular, the dual canonical basis of a one-half quantum group with respect to ... More

Compare triangular bases of acyclic quantum cluster algebrasJun 17 2016Dec 15 2016Given a quantum cluster algebra, we show that its triangular bases defined by Berenstein and Zelevinsky and those defined by the author are the same for the seeds associated with acyclic quivers. This result implies that the Berenstein-Zelevinsky's basis ... More

Bases for upper cluster algebras and tropical pointsFeb 25 2019It is known that many (upper) cluster algebras possess different kinds of good bases which contain the cluster monomials and are parametrized by the tropical points of cluster Poisson varieties. For injective reachable upper cluster algebras, we describe ... More

Direct $CP$ violation from isospin symmetry breaking effects in PQCDJul 29 2018Feb 26 2019We investigate the direct $CP$ violation for the decay process of $\bar{B}_{s}\rightarrow P(V)\pi^{0}$ (P,V refer to the pseudoscalar meson and vector meson, respectively) via isospin symmetry breaking effects from the $\pi^{0}-\eta-\eta'$ mixing mechanism ... More

The UV Emission of Stars in LAMOST Survey I. CatalogsFeb 02 2018We present the ultraviolet magnitudes for over three million stars in the LAMOST survey, in which 2,202,116 stars are detected by $GALEX$. For 889,235 undetected stars, we develop a method to estimate their upper limit magnitudes. The distribution of ... More

Dark-ages Reionization & Galaxy Formation Simulation VIII. Suppressed growth of dark matter halos during the Epoch of ReionizationJan 13 2017Feb 21 2017We investigate how the hydrostatic suppression of baryonic accretion affects the growth rate of dark matter halos during the Epoch of Reionization. By comparing halo properties in a simplistic hydrodynamic simulation in which gas only cools adiabatically, ... More

Dark-ages Reionization and Galaxy Formation Simulation - X. The small contribution of quasars to reionizationMar 15 2017Sep 26 2017Motivated by recent measurements of the number density of faint AGN at high redshift, we investigate the contribution of quasars to reionization by tracking the growth of central supermassive black holes in an update of the Meraxes semi-analytic model. ... More

Dependence of galaxy clustering on UV-luminosity and stellar mass at $z \sim 4 - 7$Sep 26 2018We investigate the dependence of galaxy clustering at $z \sim 4 - 7$ on UV-luminosity and stellar mass. Our sample consists of $\sim$ 10,000 Lyman-break galaxies (LBGs) in the XDF and CANDELS fields. As part of our analysis, the $M_\star - M_{\rm UV}$ ... More

Metrics On $S^2$ With Bounded $\|K_g\|_{L^1\log L^1}$ And Small $\|K_g-1\|_{L^1}$Dec 24 2017In this short paper, we will study the convergence of a metric sequence $g_k$ on $S^2$ with bounded $\int|K_{g_k}|\log(1+|K_{g_k}|)d\mu_{g_k}$ and small $\int|K(g_k)-1\|d\mu_{g_k}$. We will show that such a sequence is precompact.

Solutions for Toda systems on Riemann surfacesApr 19 2005Aug 26 2005In this paper, we study the solutions of Toda systems on Riemann surface in the critical case, we prove a sufficient condition for the existence of solutions of Toda systems.

Compressed Sensing MRI via a Multi-scale Dilated Residual Convolution NetworkJun 11 2019Magnetic resonance imaging (MRI) reconstruction is an active inverse problem which can be addressed by conventional compressed sensing (CS) MRI algorithms that exploit the sparse nature of MRI in an iterative optimization-based manner. However, two main ... More

Learning to Extract Coherent Summary via Deep Reinforcement LearningApr 19 2018Coherence plays a critical role in producing a high-quality summary from a document. In recent years, neural extractive summarization is becoming increasingly attractive. However, most of them ignore the coherence of summaries when extracting sentences. ... More

Performance of a Nonempirical Density Functional on Molecules and Hydrogen-Bonded ComplexesJul 18 2016Aug 11 2016Recently, Tao and Mo (TM) derived a new meta-generalized gradient approximation based on a model exchange hole. In this work, the performance of this functional is assessed on standard test sets, using the 6-311++G(3df,3pd) basis set. These test sets ... More

Asymptotics of Willmore minimizers with prescribed small isoperimetric ratioApr 17 2017We consider surfaces in ${\mathbb R}^3$ of type ${\mathbb S}^2$ which minimize the Willmore functional with prescribed isoperimetric ratio. The existence of smooth minimizers was proved by Schygulla (Archive Rational Mechanics and Analysis, 2012). In ... More

Renormalized solutions to a chemotaxis system with consumption of chemoattractantMar 14 2018This paper investigates a high-dimensional chemotaxis system with consumption of chemoattractant \begin{eqnarray*} \left\{\begin{array}{l} u_t=\Delta u-\nabla\cdot(u\nabla v), v_t=\Delta v-uv, \end{array}\right. \end{eqnarray*} under homogeneous boundary ... More

A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$Sep 22 2006The Trudinger-Moser inequality states that for functions $u \in H_0^{1,n}(\Omega)$ ($\Omega \subset \mathbb R^n$ a bounded domain) with $\int_\Omega |\nabla u|^ndx \le 1$ one has $\int_\Omega (e^{\alpha_n|u|^{\frac n{n-1}}}-1)dx \le c |\Omega|$, with ... More

Second Stop and Sbottom Searches with a Stealth StopJul 22 2016Dec 02 2016The top squarks (stops) may be the most wanted particles after the Higgs boson discovery. The searches for the lightest stop have put strong constraints on its mass. However, there is still a search gap in the low mass region if the spectrum of the stop ... More

Radially Symmetric Solutions To The Graphic Willmore Surface EquationOct 21 2014Nov 03 2014We show that a smooth radially symmetric solution $u$ to the graphic Willmore surface equation is either a constant or the defining function of a half sphere in ${\mathbb R}^3$. In particular, radially symmetric entire Willmore graphs in ${\mathbb R}^3$ ... More

Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flowsNov 13 2013We show that the set of harmonic maps from the 2-dimensional stratified spheres with uniformly bounded energies contains only finitely many homotopy classes. We apply this result to construct infinitely many harmonic map flows and mean curvature flows ... More

Training Bit Fully Convolutional Network for Fast Semantic SegmentationDec 01 2016Fully convolutional neural networks give accurate, per-pixel prediction for input images and have applications like semantic segmentation. However, a typical FCN usually requires lots of floating point computation and large run-time memory, which effectively ... More

Global existence and boundedness of weak solutions to a chemotaxis-stokes system with rotational flux termMar 14 2018In this paper, the three-dimensional chemotaxis-stokes system \begin{eqnarray*} \left\{\begin{array}{lll} \medskip n_{t}+u\cdot\nabla n=\Delta n^m-\nabla\cdot(n S(x,n,c)\cdot\nabla c),&x\in\Omega,\ \ t>0, \medskip c_t+u\cdot\nabla c=\Delta c-nf(c),&x\in\Omega,\ ... More

Accurate semilocal density functional for condensed matter physics and quantum chemistryJul 16 2016Most density functionals have been developed by imposing the known exact constraints on the exchange-correlation energy, or by a fit to a set of properties of selected systems, or by both. However, accurate modeling of the conventional exchange hole presents ... More

Bubbling location for $F$-harmonic maps and Inhomogeneous Landau-Lifshitz equationsApr 25 2005Aug 08 2005Let $f$ be a positive smooth function on a close Riemann surface (M,g). The $f-energy$ of a map $u$ from $M$ to a Riemannian manifold $(N,h)$ is defined as $$E_f(u)=\int_Mf|\nabla u|^2dV_g.$$ In this paper, we will study the blow-up properties of Palais-Smale ... More

$b\to ss{\bar d} $ decay in Randall-Sundrum modelsJul 26 2016The extremely small branching ratio of $b\to ss{\bar d}$ decay in the Standard Model makes it a suitable channel to explore new physics through various extensions of the Standard Model. We study this $\Delta S=2$ process in Randall-Sundrum models, including ... More

Effect of the pseudogap on the infrared response in cuprate superconductorsMar 12 2014One of the most essential aspects of cuprate superconductors is a large pseudogap coexisting with a superconducting gap, then some anomalous properties can be understood in terms of the formation of the pseudogap. Within the kinetic energy driven superconducting ... More

Second Stop and Sbottom Searches with a Stealth StopJul 22 2016The top squarks (stops) may be the most wanted particles after the Higgs boson discovery. The searches for the lightest stop have put strong constraints on its mass. However, there is still a search gap in the low mass region if the spectrum of the stop ... More

Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHCJun 25 2018Sep 12 2018We study the LHC discovery potential of the double-bottom tetraquarks $bb \bar u \bar d$, $bb \bar u \bar s$ and $bb \bar d \bar s$, the lightest of which having $J^P=1^+$, called $T^{\{bb\}}_{[\bar u \bar d]}$, $T^{\{bb\}}_{[\bar u \bar s]}$ and $T^{\{bb\}}_{[\bar ... More

Density profiles and collective modes of a Bose-Einstein condensate with light-induced spin-orbit couplingJun 24 2013Dec 27 2013The phases of a Bose-Einstein condensate (BEC) with light-induced spin-orbit coupling (SOC) are studied within the mean-field approximation. The mixed BEC phase, in which the system condenses in a superposition of two plane wave states, is found to be ... More

$W^{2,2}$-conformal immersions of a closed Riemann surface into $\R^n$Jul 22 2010Sep 29 2010We study sequences $f_k:\Sigma_k \to \R^n$ of conformally immersed, compact Riemann surfaces with fixed genus and Willmore energy ${\cal W}(f) \leq \Lambda$. Assume that $\Sigma_k$ converges to $\Sigma$ in moduli space, i.e. $\phi_k^\ast(\Sigma_k) \to ... More

Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusionJan 21 2015We consider an initial-boundary value problem for the incompressible chemotaxis-Navier-Stokes equations generalizing the porous-medium-type diffusion model $ \quad n_t+u\cdot\nabla n=\Delta n^m-\nabla\cdot(n\chi(c)\nabla c), $ $ \quad c_t+u\cdot\nabla ... More

Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic sourceApr 06 2015This paper deals with the Neumann boundary value problem for the system $$u_t=\nabla\cdot\left(D(u)\nabla u\right)-\nabla\cdot\left(S(u)\nabla v\right)+f(u) ,\quad x\in\Omega,\ t>0$$ $$v_t=\Delta v-v+u,\quad x\in\Omega,\ t>0$$ in a smooth bounded domain ... More

A weak energy identity and the length of necks for a Sacks-Uhlenbeck $α$-harmonic map sequenceApr 28 2008May 30 2008We will give a weak energy identity for Sacks-Uhlenbeck approximation of harmonic maps and calculate the length of the necks.

Constraining the Compressed Top Squark and Chargino along the W CorridorNov 21 2017Apr 15 2018Studying superpartner production together with a hard initial state radiation (ISR) jet has been a useful strategy for searches of supersymmetry with a compressed spectrum at the Large Hadron Collider (LHC). In the case of the top squark (stop), the ratio ... More

Five-particle contributions to the inclusive rare $\bar B \to X_{s(d)} \, \ell^+\ell^-$ decaysJun 29 2018Oct 03 2018We calculate tree-level contributions to the inclusive rare $\bar B \to X_{s(d)} \, \ell^+\ell^-$ decays. At the partonic level they stem from the five-particle process $b \to s(d) \, q \bar q \, \ell^+\ell^-$, with $q \in \{u,d,s\}$. While for $b \to ... More

$b\to ss{\bar d} $ decay in Randall-Sundrum modelsJul 26 2016Dec 10 2016The extremely small branching ratio of $b\to ss{\bar d}$ decay in the Standard Model makes it a suitable channel to explore new-physics signals. We study this $\Delta S=2$ process in Randall-Sundrum models, including the custodially protected and the ... More

Pseudogap and charge dynamics in doped cupratesApr 22 2013Nov 12 2013Within the microscopic theory of the normal-state pseudogap state, the doping and temperature dependence of the charge dynamics in doped cuprates is studied in the whole doping range from the underdoped to heavily overdoped. The conductivity spectrum ... More

Conformal metric sequences with integral-bounded scalar curvatureJun 13 2017Jun 29 2017Let $(M; g)$ be a smooth compact Riemiannian manifold without boundary and $g_{k}$ be a metric conformal to $g$. Suppose $vol(M; g_{k})+||R_{k}||_{L^{p}(M;g_{k})} < C$, where $R_{k}$ is the scalar curvature and $p > \frac{n}{2}$. We will use the 3-circle ... More

Extendability of conformal structures on punctured surfacesSep 27 2015For a smooth immersion $f$ from the punctured disk $D\backslash\{0\}$ into $\mathbb{R}^n$ extendable continuously at the puncture, if its mean curvature is square integrable and the measure of $f(D)\cap B_{r_k}=o(r_k)$ for a sequence $r_k\to 0$, we show ... More

Bubble tree of a class of conformal mappings and applications to Willmore functionalDec 08 2011We develop a bubble tree construction and prove compactness results for $W^{2,2}$ branched conformal immersions of closed Riemann surfaces, with varying conformal structures whose limit may degenerate, in a compact Riemannian manifold with uniformly bounded ... More

Global generalized solutions to a nonlinear Keller-Segel equation with singular sensitivityMar 14 2018We consider the chemotaxis system \begin{eqnarray*} \begin{cases} \begin{array}{lll} \medskip u_t =\Delta u^m - \nabla(\frac{u}{v}\nabla v),&{} x\in\Omega,\ t>0, \medskip v_t =\Delta v -uv,&{}x\in\Omega,\ t>0, \medskip \frac{\partial u}{\partial \nu}=\frac{\partial ... More

Some relations deduced from regularized double shuffle relations of multiple zeta valuesOct 18 2016It is conjectured that the regularized double shuffle relations give all algebraic relations among multiple zeta values. Hence all other algebraic relations should be deduced from the regularized double shuffle relations. In this paper, we recall or prove ... More

Robustness of DC Power Networks under Weight ControlSep 07 2016We study, possibly distributed, robust weight control policies for DC power networks that change link susceptances or weights within specified operational range in response to balanced disturbances to the supply-demand vector. The margin of robustness ... More

Controllable single-photon transport between remote coupled-cavity arraysDec 21 2015Mar 25 2016We develop a new approach for controllable single-photon transport between two remote one-dimensional coupled-cavity arrays, used as quantum registers, mediated by an additional one-dimensional coupled-cavity array, acting as a quantum channel. A single ... More

Spin Hall Conductance of the Two Dimensional Hole Gas in a Perpendicular Magnetic FieldFeb 10 2006May 02 2006The charge and spin Hall conductance of the two-dimensional hole gas within the Luttinger model with and without inversion symmetry breaking terms in a perpendicular magnetic field are studied, and two key phenomena are predicted. The sign of the spin ... More

Exponential Runge-Kutta schemes for inhomogeneous Boltzmann equations with high order of accuracyAug 13 2012We consider the development of exponential methods for the robust time discretization of space inhomogeneous Boltzmann equations in stiff regimes. Compared to the space homogeneous case, or more in general to the case of splitting based methods, studied ... More

First Principles Study of Bismuth Films on the Nickel(111) SurfaceApr 11 2013A recent experiment(Bollmann11) suggested that bismuth forms hexagonal close packed (HCP) films on the Ni(111) surface, of heights 3, 5 and 7 layers. A quantum size effect based on free electrons was proposed in explanation. To test this idea, we calculate ... More

The Long Bond, Long Forward Measure and Long-Term Factorization in Heath-Jarrow-Morton ModelsOct 04 2016This paper proves existence of the long bond, long forward measure and long-term factorization of the stochastic discount factor (SDF) of Alvarez and Jermann (2005) and Hansen and Scheinkman (2009) in Heath-Jarrow-Morton (HJM) models in the function space ... More

A Family of Compact Complex-Symplectic Calabi-Yau Manifolds that are NonkählerJan 17 2016Jun 05 2016We construct a family of $6$-dimensional compact manifolds $M(A)$, which are simultaneously diffeomorphic to complex Calabi-Yau manifolds and symplectic Calabi-Yau manifolds. They have fundamental groups $\mathbb{Z} \oplus \mathbb{Z}$, their odd-dimensional ... More

Hilbert schemes of points on the minimal resolution and soliton equationsApr 29 2004Jun 26 2006The equivariant and ordinary cohomology rings of Hilbert schemes of points on the minimal resolution C^2//G for cyclic G are studied using vertex operator technique, and connections between these rings and the class algebras of wreath products are explicitly ... More

Event Organization 101: Understanding Latent Factors of Event PopularitySep 06 2017Dec 28 2017The problem of understanding people's participation in real-world events has been a subject of active research and can offer valuable insights for human behavior analysis and event-related recommendation/advertisement. In this work, we study the latent ... More

Parton shower evolution in medium and nuclear modification of photon-tagged jets in Pb+Pb collisions at the LHCOct 24 2012Jul 06 2014We study the medium modification of jets correlated with large transverse momentum photons at the LHC via a transport and perturbative QCD hybrid model which incorporates the contributions from both elastic collisions and radiative energy loss experienced ... More