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On Structure of cluster algebras of geometric type, II: Green's equivalences and paunched surfacesAug 18 2016Following our previous work [18], we introduce the notions of partial seed homomorphisms and partial ideal rooted cluster morphisms. Related to the theory of Green's equivalences, the isomorphism classes of sub-rooted cluster algebras of a rooted cluster ... More

A note on Rényi's "record" problem and Engel's seriesJul 11 2016Jul 27 2016In 1973, Williams introduced two interesting discrete Markov processes, namely $C$-processes and $A$-processes, which are related to record times in statistics and Engel's series in number theory respectively. Moreover, he showed that these two processes ... More

Complete Affine K$\ddot{a}$hler ManifoldsAug 16 2010Oct 19 2010In this paper we prove that for a complete, connected and oriented K\"{a}ler affine manifold $(M,G)$ of dimension $n,$ if it is K\"ahler affine Ricci flat or the K$\ddot{a}$hler affine scalar curvature $S\equiv0,$ ($n\leq 5$), then the universal covering ... More

On Structure of cluster algebras of geometric type I: In view of sub-seeds and seed homomorphismsSep 03 2015Aug 18 2016Our motivation is to build a systematic method in order to investigate the structure of cluster algebras of geometric type. The method is given through the notion of mixing-type sub-seeds, the theory of seed homomorphisms and the view-point of gluing ... More

Categorification of sign-skew-symmetric cluster algebras and some conjectures on g-vectorsApr 25 2017Apr 26 2017Using the unfolding method given in \cite{HL}, we prove the conjectures on sign-coherence and a recurrence formula respectively of ${\bf g}$-vectors for acyclic sign-skew-symmetric cluster algebras. As a following consequence, the conjecture is affirmed ... More

On representation rings in the context of monoidal categoriesJun 27 2014In general, representation rings are well-known as Green rings from module categories of Hopf algebras. In this paper, we study Green rings in the context of monoidal categories such that representations of Hopf algebras can be investigated through Green ... More

Near-threshold $η$ production in $pp$ collisionsJan 26 2015May 01 2015We study near-threshold $\eta$ meson production in $pp$ collisions within an effective Lagrangian approach combined with the isobar model, by allowing for the various intermediate nucleon resonances due to the $\pi$, $\eta$, and $\rho$-meson exchanges. ... More

Beta-expansion and continued fraction expansion of real numbersMar 03 2016Let $\beta > 1$ be a real number and $x \in [0,1)$ be an irrational number. We denote by $k_n(x)$ the exact number of partial quotients in the continued fraction expansion of $x$ given by the first $n$ digits in the $\beta$-expansion of $x$ ($n \in \mathbb{N}$). ... More

Random Continued fractions: Lévy constant and Chernoff-type estimateJan 10 2016Given a stochastic process $\{A_n, n \geq 1\}$ taking values in natural numbers, the random continued fractions is defined as $[A_1, A_2, \cdots, A_n, \cdots]$ analogue to the continued fraction expansion of real numbers. Assume that $\{A_n, n \geq 1\}$ ... More

$B\to K$ Transition Form Factor with Tensor Current within the $k_T$ Factorization ApproachJan 04 2008Jan 09 2008In the paper, we apply the $k_T$ factorization approach to deal with the $B\to K$ transition form factor with tensor current in the large recoil regions. Main uncertainties for the estimation are discussed and we obtain $F_T^{B\to K}(0)=0.25\pm0.01\pm0.02$, ... More

Molecular Environment of the Supernova Remnant IC 443: Discovery of the Molecular Shells Surrounding the RemnantMay 28 2014We have carried out 12CO, 13CO, and C18O observations toward the mixed morphology supernova remnant (SNR) IC 443. The observations cover a 1.5*1.5 deg^2 area and allow us to investigate the overall molecular environment of the remnant. Some northern and ... More

Discovery of a pre-existing molecular filament associated with supernova remnant G127.1+0.5Jul 24 2014We performed millimeter observations in CO lines toward the supernova remnant (SNR) G127.1+0.5. We found a molecular filament at 4--13 km s$^{-1}$ consisting of two distinct parts: a straight part coming out of the remnant region and a curved part in ... More

Double-peaked OI profile: a likely signature of the gaseous ring around KH 15DJun 11 2019KH 15D is a well-known spectroscopic binary because of its unique and dramatic photometric variability. The variability is explained by a circumbinary dust ring but the ring itself was never directly detected. We present a new interpretation of the double-peaked ... More

The Link between Magnetic Fields and Filamentary Clouds: Bimodal Cloud Orientations in the Gould BeltOct 23 2013The orientations of filamentary molecular clouds in the Gould Belt and their local ICM (inter-cloud media) magnetic fields are studied using near-infrared dust extinction maps and optical stellar polarimetry data. These filamentary clouds are a few-to-ten ... More

Notes on Chern's Affine Bernstein ConjectureApr 04 2011There were two famous conjectures on complete affine maximal surfaces, one due to E. Calabi, the other to S.S. Chern. Both were solved with different methods about one decade ago by studying the associated Euler-Lagrange equation. Here we survey two proofs ... More

Intrinsic basis-independent quantum coherence measureJan 18 2017Oct 22 2017Quantum coherence is a key resource in quantum information processing scenarios, and quantifying coherence is an important task for both quantum foundation and quantum technology. However, until now, all most of coherence measures are basis-dependent ... More

Learning a Multi-Modal Policy via Imitating Demonstrations with Mixed BehaviorsMar 25 2019We propose a novel approach to train a multi-modal policy from mixed demonstrations without their behavior labels. We develop a method to discover the latent factors of variation in the demonstrations. Specifically, our method is based on the variational ... More

Star-forming content of the giant molecular filaments in the Milky WayNov 06 2018Observations have discovered numerous giant molecular filaments (GMFs) in the Milky Way. However, their role in the Galactic star formation and Galaxy-scale evolution of dense gas is still unknown. We investigate systematically the star-forming content ... More

B-Meson Wave Function through A Comparative Analysis of the $B\to π$, $K$ Transition Form FactorsAug 02 2008Dec 23 2008The properties of the B-meson light-cone wave function up to next-to-leading order Fock state expansion have been studied through a comparative study of the $B\to \pi$, $K$ transition form factors within the $k_T$ factorization approach and the light-cone ... More

Cosmological Relaxation from Dark Fermion ProductionSep 17 2019We consider the cosmological relaxation solution to the electroweak hierarchy problem using the fermion production as a dominant friction force. In our approach, neither super-Planckian field excursions nor a large number of e-folds arise, and scanning ... More

Phase matched second harmonic generation in an on-chip lithium niobate microresonator fabricated by femtosecond laserSep 09 2015Dec 26 2015Nonlinear optical processes in whispering gallery mode (WGM) microresonators have attracted much attention. Owing to the strong confinement of light in a small volume, a WGM microresonator can dramatically boost the strength of light field, thereby promoting ... More

CO~($J=1-0$) Observations toward Filamentary Molecular Clouds in the Galactic Region with $l = [169\arcdeg.75, 174\arcdeg.75], b = [-0\arcdeg.75, 0\arcdeg.5]$Jul 16 2019Aug 21 2019We present observations of the CO isotopologues ($^{12}$CO, $^{13}$CO, and C$^{18}$O) toward the Galactic region with $169\arcdeg.75 \leqslant l \leqslant 174\arcdeg.75$ and $-0\arcdeg.75 \leqslant b \leqslant 0\arcdeg.5$, using the Purple Mountain Observatory ... More

On-chip electro-optic tuning of a lithium niobate microresonator with integrated in-plane microelectrodesNov 11 2016We demonstrate electro-optic tuning of an on-chip lithium niobate microresonator with integrated in-plane microelectrodes. First two metallic microelectrodes on the substrate were formed via femtosecond laser process. Then a high-Q lithium niobate microresonator ... More

Fabrication of high quality factor lithium niobate double-disk using a femtosecond laserOct 20 2017We demonstrate fabrication of a high quality factor lithium niobate double-disk whispering-gallery microcavity using femtosecond laser assisted ion beam milling. Using this method, two vertically stacked 30-um-diameter disks with a 200-nm-gap are fabricated. ... More

Highly-efficient second and third harmonic generation in a monocrystalline lithium niobate microresonatorAug 12 2018Nonlinear optics in whispering-gallery-mode (WGM) microresonators have attracted much attention. Owing to strong confinement of the light in a small volume, a WGM microresonator can dramatically boost the strength of light field, giving rise to enhancement ... More

The CIV Baldwin effect in QSOs from Seventh Data Release of the Sloan Digital Sky SurveySep 16 2012Using the properties of SDSS DR7 QSOs catalog from Shen et al., the Baldwin effect, its slope evolution, the underlying drive for a large sample of 35019 QSOs with reliable spectral analysis are investigated. We find that the Baldwin effect exists in ... More

Excited bottom and bottom-strange mesons in the quark modelJul 11 2016Sep 21 2016In order to understand the possible $q\bar{q}$ quark-model assignments of the $B_J(5840)$ and $B_J(5960)$ recently reported by the LHCb Collaboration, we evaluate mass spectra, strong decays, and radiative decays of bottom and bottom-strange mesons in ... More

Strong decays of the $X(2500)$ newly observed by the BESIII CollaborationJun 28 2016Sep 21 2016Basing on the observation of a new $J^{PC}=0^{-+}$ state, $X(2500)$, in the partial wave analysis of the decay $J/\psi\rightarrow\gamma X\rightarrow \gamma\phi\phi$ performed by the BESIII Collaboration, we have evaluated the strong decays of the $X(2500)$ ... More

Unfolding of acyclic sign-skew-symmetric cluster algebras and applications to positivity and $F$-polynomialsSep 20 2016Nov 26 2016In this paper, we build the unfolding approach from acyclic sign-skew-symmetric matrices of finite rank to skew-symmetric matrices of infinite rank, which can be regard as an improvement of that in the skew-symmetrizable case. Using this approach, we ... More

The Wigner Solution and QCD Phase Transitions in a Modified PNJL ModelNov 16 2013By employing some modification to the widely used two-flavor Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model, we discuss the Wigner solution of the quark gap equation at finite temperature and zero quark chemical potential beyond the chiral limit, ... More

The near threshold $π^- p \to ηn$ reaction in an effective Lagrangian approachDec 20 2013The near threshold $\pi^- p \to \eta n$ reaction is studied within an effective Lagrangian approach and the isobar model. By considering the contributions from $s$- and $u$-channel nucleon pole and $N^{*}(1535)$ resonance, the total and differential cross ... More

Unfolding of acyclic sign-skew-symmetric cluster algebras and applications to positivity and $F$-polynomialsSep 20 2016In this paper, we build the unfolding approach from acyclic sign-skew-symmetric matrices of finite rank to skew-symmetric matrices of infinite rank, which can be regard as an improvement of that in the skew-symmetrizable case. Using this approach, we ... More

The one-loop on-shell renormalization of some vertexes in MSSMMay 21 2013Jun 06 2013The on-shell renormalization scheme for the electroweak theory is well studied in the standard model(SM), but a consistent on-shell renormalization scheme for the minimal supersymmetric standard model(MSSM) is still unknown. In MSSM, we study the on-shell ... More

Secure Quantum Private Comparison of Equality Based on Asymmetric W StateDec 19 2013Recently, Liu et al. [Opt. Commun. 284, 3160, 2011] proposed a protocol for quantum private comparison of equality (QPCE) based on sym- metric W state. However, Li et al. [Eur. Phys. J. D. 66, 110, 2012] pointed out that there is a flaw of information ... More

Nucleon resonances in the $γp \to φK^+ Λ$ reaction near thresholdDec 19 2014Nov 26 2015We investigate the $\gamma p \to \phi K^+ \Lambda$ reaction near threshold within an effective Lagrangian approach and the isobar model. Various nucleon resonances caused by the $\pi$ and $\eta$ meson exchanges and background contributions are considered. ... More

Fabrication of a multifunctional photonic integrated chip on lithium niobate on insulator using femtosecond laser assisted chemo-mechanical polishJul 08 2019We report fabrication of a multifunctional photonic integrated chip on lithium niobate on insulate (LNOI), which is achieved by femtosecond laser assisted chemo-mechanical polish. We demonstrate a high extinction ratio beam splitter, a 1 * 6 optical switch, ... More

Fabrication of a microresonator-fiber assembly maintaining a high-quality factor by CO2 laser weldingSep 18 2015We demonstrate fabrication of a microtoroid resonator of a high-quality (high-Q) factor using femtosecond laser three-dimensional (3D) micromachining. A fiber taper is reliably assembled to the microtoroid using CO2 laser welding. Specifically, we achieve ... More

Predicting missing links and their weights via reliable-route-based methodAug 05 2014Link prediction aims to uncover missing links or predict the emergence of future relationships according to the current networks structure. Plenty of algorithms have been developed for link prediction in unweighted networks, with only a very few of them ... More

Cross-Scale Cost Aggregation for Stereo MatchingMar 03 2014Human beings process stereoscopic correspondence across multiple scales. However, this bio-inspiration is ignored by state-of-the-art cost aggregation methods for dense stereo correspondence. In this paper, a generic cross-scale cost aggregation framework ... More

Interaction between the Supernova Remnant HB 3 and the Nearby Star-Forming Region W3Sep 13 2016We performed millimeter observations in CO lines toward the supernova remnant (SNR) HB 3. Substantial molecular gas around -45 km s^-1 is detected in the conjunction region between the SNR HB 3 and the nearby W3 complex. This molecular gas is distributed ... More

IRAM and Gaia views of multi-episodic star formation in IC1396A: The origin and dynamics of the Class 0 protostar at the edge of an HII regionDec 18 2018(Abridged) IC1396A is a cometary globule containing the Class 0 source IC1396A-PACS-1. We use IRAM 30m and Gaia DR2 data to explore the star-formation history of IC1396A and investigate the possibilities of triggered star formation. IRAM and Herschel ... More

A candidate planetary-mass object with a photoevaporating disk in OrionNov 29 2016In this work, we report the discovery of a candidate planetary-mass object with a photoevaporating protoplanetary disk, Proplyd 133-353, which is near the massive star $\theta^{1}$ Ori C at the center of the Orion Nebula Cluster (ONC). The object was ... More

Young Stellar Objects in Lynds 1641: Disks, Accretion, and Star Formation HistoryApr 29 2013We investigate the young stellar objects (YSOs) in the Lynds~1641 (L1641) cloud using multi-wavelength data including Spitzer, WISE, 2MASS, and XMM covering ~1390 YSOs across a range of evolutionary stages. In addition, we targeted a sub-sample of YSOs ... More

The Chiral Quark Condensate and the Bag Constant with Finite Chemical PotentialSep 05 2002A method for obtaining the low chemical potential dependence of the dressed quark propagator from an effective quark-quark interaction model is developed. From this the chemical potential dependence of the chiral quark condensate and bag constant are ... More

Feedback-optimized Extraordinary Optical Transmission of Continuous-variable Entangled StatesDec 16 2014Jan 06 2015We report on the feedback-optimized extraordinary optical transmission of continuous-variable entangled states through a hexagonal metal-hole array. The continuous-variable entanglements from a nondegenerate optical parametric amplifier are first demonstrated ... More

Kinematic links and the co-evolution of MHD winds, jets, and inner disks from a high-resolution optical [OI] surveyNov 15 2018We present a survey of optical [OI] emission at 6300 \AA\ toward 65 TTauri stars at the spectral resolution of $\sim7$ km/s. Past work identified a highly blueshifted velocity component (HVC) tracing microjets, and a less blueshifted low-velocity-component ... More

On-chip tuning of the resonant wavelength in a high-Q microresonator integrated with a microheaterNov 18 2014We report on fabrication of a microtoroid resonator of high-quality (high-Q) factor integrated with an on-chip microheater. Both the microresonator and microheater are fabricated using femtosecond laser three-dimensional (3D) micromachining. The microheater, ... More

A large-scale survey of CO and its isotopologues toward the Rosette molecular cloudAug 28 2018Sep 04 2018Using the PMO-13.7m millimeter telescope at Delingha in China, we have conducted a large-scale simultaneous survey of $^{12}$CO, $^{13}$CO, and C$^{18}$O J=1-0 emission toward the Rosette molecular cloud (RMC) region with a sky coverage of 3.5 $\times$ ... More

Nondestructive on-chip detection of optical orbital angular momentum through a single plasmonic nanoholeOct 12 2016Optical orbital angular momentum (OAM) provides an additional dimension for photons to carry information in high-capacity optical communication. Although the practical needs have intrigued the generations of miniaturized devices to manipulate the OAM ... More

Temperature dependence of the plastic scintillator detector for DAMPEDec 11 2016The Plastic Scintillator Detector (PSD) is one of the main sub-detectors in the DArk Matter Particle Explorer (DAMPE) project. It will be operated over a large temperature range from -$10$ to $30^{\circ}$C, so the temperature effect of the whole detection ... More

Deep Portrait Image Completion and ExtrapolationAug 23 2018General image completion and extrapolation methods often fail on portrait images where parts of the human body need to be recovered - a task that requires accurate human body structure and appearance synthesis. We present a two-stage deep learning framework ... More

Study of dark matter in the extended BLMSSMJan 21 2019Mar 26 2019There are strong evidences for existence of dark matter in some experiments at present. However, the question is that we do not have a reasonable explanation for dark matter in the framework of the Standard Model(SM) of particle physics. It is necessary ... More

Poisson Vector Graphics (PVG) and Its Closed-Form SolverJan 16 2017This paper presents Poisson vector graphics, an extension of the popular first-order diffusion curves, for generating smooth-shaded images. Armed with two new types of primitives, namely Poisson curves and Poisson regions, PVG can easily produce photorealistic ... More

Real-time Electrical Tuning of an Optical Spring on a Monolithically Integrated Ultrahigh Q Lithium Nibote MicroresonatorDec 31 2018Cavity optomechanics, the study of the interplay between light and mechanical properties of matter, has triggered a wide range of groundbreaking researches from cavity quantum electrodynamics, label free single molecule detection to the creation of phonon ... More

A SiO J = 5 - 4 Survey Toward Massive Star Formation RegionsMay 21 2019We performed a survey in the SiO $J=5\rightarrow4$ line toward a sample of 199 Galactic massive star-forming regions at different evolutionary stages with the SMT 10 m and CSO 10.4 m telescopes. The sample consists of 44 infrared dark clouds (IRDCs), ... More

A resonant feature near the Perseus arm revealed by red clump starsJun 05 2012We investigate the extinction together with the radial velocity dispersion and distribution of red clump stars in the anti-center direction using spectra obtained with Hectospec on the MMT. We find that extinction peaks at Galactocentric radii of about ... More

Efficient Electro-optical Tuning of Optical Frequency Microcomb on a Monolithically Integrated High-Q Lithium Niobate MicrodiskSep 01 2019We demonstrate efficient tuning of a monolithically integrated lithium niobate microdisk (LN) optical frequency microcomb. Utilizing the high optical quality (Q) factor (i.e., Q~7.1*10^6) of the microdisk, the microcomb spans over a spectral bandwidth ... More

High-precision measurement of a propagation loss of single-mode optical waveguides on lithium niobate on insulatorJun 08 2019We demonstrate fabrication of single-mode optical waveguides on lithium niobate on insulator (LNOI) by optical patterning combined with chemo-mechanical polishing. The fabricated LNOI waveguides have a nearly symmetric mode profile of a mode field size ... More

Millimeter Spectral Line Mapping Observations Toward Four Massive Star Forming HII RegionsDec 08 2016We present spectral line mapping observations toward four massive star-forming regions (Cepheus A, DR21S, S76E and G34.26+0.15), with the IRAM 30 meter telescope at 2 mm and 3 mm bands. Totally 396 spectral lines from 51 molecules, one helium recombination ... More

L1188: a promising candidate of cloud-cloud collision triggering the formation of the low- and intermediate-mass starsJan 13 2017We present a new large-scale (4 square degrees) simultaneous $^{12}$CO, $^{13}$CO, and C$^{18}$O ($J$=1$-$0) mapping of L1188 with the PMO 13.7-m telescope. Our observations have revealed that L1188 consists of two nearly orthogonal filamentary molecular ... More

A large area plastic scintillation detector with 4-corner-readoutAug 23 2015Aug 26 2015A 760 $\times$ 760 $\times$ 30 mm$^3$ plastic scintillation detector viewed by photomultiplier tubes (PMTs) from four corners has been developed, and the detector has been tested with cosmic rays and $\gamma$ rays. A position-independent effective time ... More

Quantum and Thermal Transitions Out of the Pair-Supersolid Phase of Two-Species Bosons in LatticeMar 26 2012Jun 15 2012We investigate two-species bosons in a two-dimensional square lattice by quantum Monte Carlo method. We show that the inter-species attraction and nearest-neighbor intra-species repulsion results in the pair-supersolid phase, where a diagonal solid order ... More

NGC 1980 is not a foreground population of Orion: Spectroscopic survey of young stars with low extinction in Orion AMar 20 2017We perform a spectroscopic survey of the foreground population in Orion A with MMT/Hectospec. We use these data, along with archival spectroscopic data and photometric data, to derive spectral types, extinction values, and masses for 691 stars. Using ... More

Complex Balancing Reconstructed to the Asymptotic Stability of Mass-action Chemical Reaction Networks with Conservation LawsMar 23 2017Nov 29 2018Motivated by the fact that the pseudo-Helmholtz function is a valid Lyapunov function for characterizing asymptotic stability of complex balanced mass action systems (MASs), this paper develops the generalized pseudo-Helmholtz function for stability analysis ... More

A conjecture on $C$-matrices of cluster algebrasFeb 04 2017Nov 21 2017For a skew-symmetrizable cluster algebra $\mathcal A_{t_0}$ with principal coefficients at $t_0$, we prove that each seed $\Sigma_t$ of $\mathcal A_{t_0}$ is uniquely determined by its {\bf C-matrix}, which was proposed by Fomin and Zelevinsky in \cite{FZ3} ... More

The denominators of convergents for continued fractionsAug 03 2016For any real number $x \in [0,1)$, we denote by $q_n(x)$ the denominator of the $n$-th convergent of the continued fraction expansion of $x$ $(n \in \mathbb{N})$. It is well-known that the Lebesgue measure of the set of points $x \in [0,1)$ for which ... More

Limit theorems related to beta-expansion and continued fraction expansionJan 10 2016Let $\beta > 1$ be a real number and $x \in [0,1)$ be an irrational number. Denote by $k_n(x)$ the exact number of partial quotients in the continued fraction expansion of $x$ given by the first $n$ digits in the $\beta$-expansion of $x$ ($n \in \mathbb{N}$). ... More

The Herschel/PACS view of the Cep OB2 region: Global protoplanetary disk evolution and clumpy star formationOct 10 2014(Abridged) We use Herschel PACS observations at 70 and 160$\mu$m to probe the protoplanetary disks around young stars in the CepOB2 clusters Tr37 and NGC7160 and to trace the small-scale cloud structure. We detect 95 protoplanetary disks at 70$\mu$m, ... More

Classification of Extremely Red Objects in the Hubble Ultra Deep FieldFeb 16 2009In this paper we present a quantitative study of the classification of Extremely Red Objects (EROs). The analysis is based on the multi-band spatial- and ground-based observations (HST/ACS-$BViz$, HST/NICMOS-$JH$, VLT-$JHK$) in the Hubble Ultra Deep Field ... More

Approximation orders of real numbers by $β$-expansionsMar 28 2016Jul 22 2016We prove that almost all real numbers (with respect to Lebesgue measure) are approximated by the convergents of their $\beta$-expansions with the exponential order $\beta^{-n}$. Moreover, the Hausdorff dimensions of sets of the real numbers which are ... More

Understanding the charmed states recently observed by the LHCb and BaBar Collaborations in the quark modelJul 11 2014Sep 18 2014Comparing the expected spectroscopy in the relativistic quark model and the predicted strong decays in the $^3P_0$ model employing the realistic wave functions from the relativistic quark model with the measured properties of the LHCb and BaBar charmed ... More

Asteroseismic based estimation of the surface gravity for the LAMOST giant starsNov 02 2014May 10 2015Asteroseismology is one of the most accurate approaches to estimate the surface gravity of a star. However, most of the data from the current spectroscopic surveys do not have asteroseismic measurements, which is very expensive and time consuming. In ... More

Supermassive Black Holes with High Accretion Rates in Active Galactic Nuclei. III. Detection of Fe II Reverberation in Nine Narrow-Line Seyfert 1 GalaxiesMar 12 2015This is the third in a series of papers reporting on a large reverberation-mapping campaign aimed to study the properties of active galactic nuclei (AGNs) with high accretion rates. We present new results on the variability of the optical Fe II emission ... More

Quantum Tomography of the Photon-Plasmon Conversion Process in a Metal Hole ArrayApr 24 2019In the past decades, quantum plasmonics has become an active area due to its potential applications in on-chip plasmonic devices for quantum information processing. However, the fundamental physical process, i.e., how a quantum state of light evolves ... More

Evolutionary Stages and Disk Properties of Young Stellar Objects in the Perseus CloudJun 08 2015We investigated the evolutionary stages and disk properties of 211 Young stellar objects (YSOs) across the Perseus cloud by modeling the broadband optical to mid-infrared (IR) spectral energy distribution (SED). By exploring the relationships among the ... More

Three-dimensional laser printing of macro-scale glass objects at a micro-scale resolutionFeb 11 2019Three-dimensional (3D) printing has allowed for production of geometrically complex 3D objects with extreme flexibility, which is currently undergoing rapid expansions in terms of materials, functionalities, as well as areas of application. When attempting ... More

Low-loss Lithium Niobate on Insulator (LNOI) Waveguides of a 10 cm-length and a Sub-nanometer Surface RoughnessOct 06 2018We develop a technique for realizing lithium niobate on insulator (LNOI) waveguides of a multi-centimeter-length with a propagation loss as low as 0.027 dB/cm. Our technique relies on patterning a chromium (Cr) thin film coated on the top surface of LNOI ... More

$δ$-Sunspot Formation in Simulation of Active-Region-Scale Flux EmergenceApr 16 2015$\delta$-sunspots, with highly complex magnetic structures, are very productive in energetic eruptive events, such as X-class flares and homologous eruptions. We here study the formation of such complex magnetic structures by numerical simulations of ... More

Generalized Gaussian Mechanism for Differential PrivacyFeb 19 2016Sep 08 2016The goal of this paper is multi-fold. First, we define a family of generalized Gaussian mechanism (GGM) based on the $l_p$ global sensitivity (GS) of queries, which includes the Laplace and Gaussian mechanisms as special cases. We present theoretical ... More

An Exponential Inequality for U-Statistics under Mixing ConditionsSep 22 2016The family of U-statistics plays a fundamental role in statistics. This paper proves a novel exponential inequality for U-statistics under the time series setting. Explicit mixing conditions are given for guaranteeing fast convergence, the bound proves ... More

Calculation of local Fourier transforms for formal connectionsJul 01 2007We calculate the local Fourier transforms for formal connections. In particular, we verify an analogous conjecture suggested in Laumon's paper: "Transformation de Fourier, constantes d'equations fonctionnelles et conjecture de Weil, 2.6.3".

Dirichlet-to-Neumann Map for Poincaré-Einstein Metrics in Even DimensionsMay 15 2009We study the linearization of the Dirichlet-to-Neumann map for Poincar\'e-Einstein metrics in even dimensions on an arbitrary compact manifold with boundary. By fixing a suitable gauge, we make the linearized Einstein equation elliptic. In this gauge ... More

Modulation and natural valued quiver of an algebraJun 27 2014The concept of modulation is generalized to pseudo-modulation and its subclasses including pre-modulation, generalized modulation and regular modulation. The motivation is to define the valued analogue of natural quiver, called {\em natural valued quiver}, ... More

High-Energy Neutrino Signatures of Newborn Pulsars In the Local UniverseNov 08 2014Jun 03 2015Charged particles can be accelerated to higher than PeV energies in the electro-magnetic wind of a fast-spinning newborn pulsar to produce high-energy neutrinos, through hadronuclear interactions in the supernova remnant. Here we explore the detectability ... More

Smooth rigidity of uniformly quasiconformal Anosov flowsMar 10 2005We classify quasiconformal Anosov flows whose strong stable and unstable distributions are at least two dimensional and the sum of these two distributions is smooth. We deduce from this classification result the complete classification of volume-preserving ... More

Pressure rigidity of three dimensional contact Anosov flowsMar 10 2005We study the cohomological pressure introduced by R.Sharp (defined by using topological pressures of certain potentials of Anosov flows). In particular, we get the rigidity in the case that this pressure coincides with the metrical entropy, generalising ... More

Bijective proofs of character evaluations using trace forest of the jeu de taquinMar 22 2014Irreducible characters in the symmetric group are of special interest in combinatorics. They can be expressed either combinatorially with ribbon tableaux, or algebraically with contents. In this paper, these two expressions are related in a combinatorial ... More

Wasserstein-2 bounds in normal approximation under local dependenceJul 16 2018Jan 21 2019We obtain a general bound for the Wasserstein-2 distance in normal approximation for sums of locally dependent random variables. The proof is based on an asymptotic expansion for expectations of second-order differentiable functions of the sum. We apply ... More

A universal error bound in the CLT for counting monochromatic edges in uniformly colored graphsAug 03 2014Let $\{G_n: n\geq 1\}$ be a sequence of simple graphs. Suppose $G_n$ has $m_n$ edges and each vertex of $G_n$ is colored independently and uniformly at random with $c_n$ colors. Recently, Bhattacharya, Diaconis and Mukherjee (2013) proved universal limit ... More

On the scattering operators for ACHE metrics of Bergman type on strictly pseudoconvex domainsAug 13 2015Feb 26 2017The scattering operators associated to an ACHE metric of Bergman type on a strictly pseudovonvex domain are a one-parameter family of CR-conformally invariant pseudodifferntial operators of Heisenberg class with respect to the induced CR structure on ... More

Nash embedding, shape operator and Navier-Stokes equation on a Riemannian manifoldJul 29 2019What is the suitable Laplace operator on vector fields for the Navier-Stokes equation on a Riemannian manifold? In this note, by considering Nash embedding, we will try to elucidate different aspects of different Laplace operators such as de Rham-Hodge ... More

Generalized virtual braid groups, quasi-shuffle product and quantum groupsNov 14 2013We introduce in this paper the generalized virtual braid group on n strands GVB_n, generalizing simultaneously the braid groups and their virtual versions. A Mastumoto-Tits type section lifting shuffles in a symmetric group S_n to the monoid associated ... More

A Borel-Weil-Bott type theorem of quantum shuffle algebrasAug 28 2012We prove in this paper a Borel-Weil-Bott type theorem for the coHochschild homology of a quantum shuffle algebra associated with quantum group datum taking coefficients in some well-chosen bicomodules, which can be looked as an analogue of equivariant ... More

On a Question of Arveson about Ranks of Hilbert modulesApr 25 2001It's well known that the functional Hilbert space over the unit ball in $B_{d} \in C^d$, with kernel function $K(z,w)=\frac{1}{1-z_{1}w_{1}-... -z_{d}w_{d}}$, admits a natural $A(B_{d})$-module structure. We show the rank of a nonzero submodule is infinity ... More

Tightness for Maxima of Generalized Branching Random WalksDec 03 2010We study generalized branching random walks, which allow time dependence and local dependence between siblings. Under appropriate tail assumptions, we prove the tightness of $F_n(\cdot-Med(F_n))$, where $F_n(\cdot)$ is the maxima distribution at time ... More

On a Conformal Gauss-Bonnet-Chern inequality for LCF manifolds and related topicsMar 13 2004Mar 16 2004In this paper, we prove the following two results: First, we study a class of conformally invariant operators $P$ and their related conformally invariant curvatures $Q$ on even-dimensional Riemannian manifolds. When the manifold is locally conformally ... More

Positive quaternionic Kaehler manifolds and symmetry rankAug 14 2003A quaternionic K\"ahler manifold M is called {\it positive} if it has positive scalar curvature. The main purpose of this paper is to prove several connectedness theorems for quaternionic immersions in a quaternionic K\"ahler manifold, e.g. the Barth-Lefschetz ... More

Ad-nilpotent Ideals and Equivalence RelationsOct 25 2008In this paper we study ad-nilpotent ideals of a complex simple Lie algebra $\ccg$ and their connections with affine Weyl groups and nilpotent orbits. We define a left equivalence relation for ad-nilpotent ideals based on their normalizer and generators, ... More

Accelerations for Graph IsomorphismJun 27 2017In this paper, we present two main results. First, by only one conjecture (Conjecture 2.9) for recognizing a vertex symmetric graph, which is the hardest task for our problem, we construct an algorithm for finding an isomorphism between two graphs in ... More

A multivariate CLT for bounded decomposable random vectors with the best known rateAug 03 2014May 16 2015We prove a multivariate central limit theorem with explicit error bound on a non-smooth function distance for sums of bounded decomposable $d$-dimensional random vectors. The decomposition structure is similar to that of Barbour, Karo\'nski and Ruci\'nski ... More