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On Isomorphisms of Vertex-transitive GraphsFeb 24 2016Mar 27 2016The isomorphism problem of Cayley graphs has been well studied in the literature, such as characterizations of CI (DCI)-graphs and CI (DCI)-groups. In this paper, we generalize these to vertex-transitive graphs and establish parallel results. Some interesting ... More

Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 CaseNov 29 2009Sep 28 2010Let $p$ be a prime number, $q=p^f$ for some positive integer $f$, $N$ be a positive integer such that $\gcd(N,p)=1$, and let $\k$ be a primitive multiplicative character of order $N$ over finite field $\fq$. This paper studies the problem of explicit ... More

A note on the sign (unit root) ambiguities of Gauss sums in index 2 and 4 casesDec 08 2009Recently, the explicit evaluation of Gauss sums in the index 2 and 4 cases have been given in several papers (see [2,3,7,8]). In the course of evaluation, the sigh (or unit root) ambiguities are unavoidably occurred. This paper presents another method, ... More

A Simple Channel Independent Beamforming Scheme with Circular ArrayApr 18 2018In this letter, we consider a uniform circular array (UCA) based line-of-sight (LOS) multiple-input-multiple-output (MIMO) system, where the transmit and receive UCAs are aligned with each other. We propose a simple channel independent beamforming scheme ... More

Optimal Energy-Efficient Policies for Data Centers through Sensitivity-Based OptimizationAug 23 2018In this paper, we propose a novel dynamic decision method by applying the sensitivity-based optimization theory to find the optimal energy-efficient policy of a data center with two groups of heterogeneous servers. Servers in Group 1 always work at high ... More

Blockchain Queueing TheoryAug 06 2018Sep 30 2018Blockchain has many benefits including decentralization, availability, persistency, consistency, anonymity, auditability and accountability, and it also covers a wide spectrum of applications ranging from cryptocurrency, financial services, reputation ... More

From Risk Prediction Models to Risk Assessment Service: A Formulation of Development ParadigmMar 01 2019Risk assessment services fulfil the task of generating a risk report from personal information and are developed for purposes like disease prognosis, resource utilization prioritization, and informing clinical interventions. A major component of a risk ... More

Group-Server QueuesJun 11 2017Jul 21 2017By analyzing energy-efficient management of data centers, this paper proposes and develops a class of interesting {\it Group-Server Queues}, and establishes two representative group-server queues through loss networks and impatient customers, respectively. ... More

Topological Kondo InsulatorsJun 18 2015This article reviews recent theoretical and experimental work on a new class of topological material - topological Kondo insulators, which develop through the interplay of strong correlations and spin-orbit interactions. The history of Kondo insulators ... More

Optimal Asynchronous Dynamic Policies in Energy-Efficient Data CentersJan 05 2019In this paper, we use a Markov decision process to find optimal asynchronous policy of an energy-efficient data center with two groups of heterogeneous servers, a finite buffer, and a fast setup process at sleep state. Servers in Group 1 always work. ... More

Multi-appearance Segmentation and Extended 0-1 Program for Dense Small Object TrackingDec 14 2017Aiming to address the fast multi-object tracking for dense small object in the cluster background, we review track orientated multi-hypothesis tracking(TOMHT) with consideration of batch optimization. Employing autocorrelation based motion score test ... More

Inverse proximity effect in superconductor-ferromagnet bilayer structuresOct 15 2008Measurements of the polar Kerr effect using a zero-area-loop Sagnac magnetometer on Pb/Ni and Al/(Co-Pd) proximity-effect bilayers show unambiguous evidence for the "inverse proximity effect," in which the ferromagnet (F) induces a finite magnetization ... More

Spin-Cherenkov effect in a magnetic nanostrip with interfacial Dzyaloshinskii-Moriya interactionJan 28 2016Apr 12 2016Spin-Cherenkov effect enables strong excitations of spin waves (SWs) with nonlinear wave dispersions. The Dzyaloshinskii-Moriya interaction (DMI) results in anisotropy and nonreciprocity of SWs propagation. In this work, we study the effect of the interfacial ... More

Controllable transport of a skyrmion in a ferromagnetic narrow channel with voltage-controlled magnetic anisotropySep 12 2017Magnetic skyrmions have potential applications in next-generation spintronics devices with ultralow energy consumption. In this work, the current-driven skyrmion motion in a narrow ferromagnetic nanotrack with voltage-controlled magnetic anisotropy (VCMA) ... More

Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transitionMar 22 2017Nov 23 2017The helicity-orbital coupling is an intriguing feature of magnetic skyrmions in frustrated magnets. Here, we explore the skyrmion dynamics in a frustrated magnet based on the $J_{1}$-$J_{2}$-$J_{3}$ classical Heisenberg model explicitly by including the ... More

Current-Driven Dynamics of Frustrated Skyrmions in a Synthetic Antiferromagnetic BilayerDec 03 2018Mar 27 2019We report the current-driven dynamics of frustrated skyrmions in an antiferromagnetically exchange coupled bilayer system, where the bilayer skyrmion consists of two monolayer skyrmions with opposite skyrmion numbers $Q$. We show that the in-plane current-driven ... More

Halo intrinsic alignment: dependence on mass, formation time and environmentJun 23 2017Sep 14 2017In this paper we use high-resolution cosmological simulations to study halo intrinsic alignment and its dependence on mass, formation time and large-scale environment. In agreement with previous studies using N-body simulations, it is found that massive ... More

Mobile Multimedia Recommendation in Smart Communities: A SurveyDec 23 2013Due to the rapid growth of internet broadband access and proliferation of modern mobile devices, various types of multimedia (e.g. text, images, audios and videos) have become ubiquitously available anytime. Mobile device users usually store and use multimedia ... More

A microwave field-driven transistor-like skyrmionic device with the microwave current-assisted skyrmion creationJan 21 2016Oct 03 2017Magnetic skyrmion is a topologically protected domain-wall structure at nanoscale, which could serve as a basic building block for advanced spintronic devices. Here, we propose a microwave field-driven skyrmionic device with the transistor-like function, ... More

Dynamics of a magnetic skyrmionium driven by spin wavesFeb 12 2018Mar 23 2018The magnetic skyrmionium is a skyrmion-like structure but carries a zero net skyrmion number, which can be used as a building block for non-volatile information processing devices. Here, we study the dynamics of a magnetic skyrmionium driven by propagating ... More

High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting StateJul 20 2006Polar Kerr effect in the spin-triplet superconductor Sr2RuO4 was measured with high precision using a Sagnac interferometer with a zero-area Sagnac loop. We observed non-zero Kerr rotations as big as 65 nanorad appearing below Tc in large domains. Our ... More

Evidence for a fractional quantum Hall state with anisotropic longitudinal transportSep 14 2011Aug 10 2012At high magnetic fields, where the Fermi level lies in the N=0 lowest Landau level (LL), a clean two-dimensional electron system (2DES) exhibits numerous incompressible liquid phases which display the fractional quantized Hall effect (FQHE) (Das Sarma ... More

Multiferroicity and Magnetoelectric Coupling in TbMnO3 Thin FilmsDec 15 2015In this work, we report the growth and functional characterizations of multiferroic TbMnO3 thin films grown on Nb-doped SrTiO3 (001) substrates using pulsed laser deposition. By performing detailed magnetic and ferroelectric properties measurements, we ... More

Motion of skyrmions in nanowires driven by magnonic momentum-transfer forcesJan 10 2017Jun 06 2017We study the motion of magnetic skyrmions in a nanowire induced by a spin-wave current $J$ flowing out of a driving layer close to the edge of the wire. By applying micromagnetic simulation and an analysis of the effective Thiele equation, we find that ... More

Identification time-delayed fractional order chaos with functional extrema model via differential evolutionAug 12 2013In this paper, a novel inversion mechanism of functional extrema model via the differential evolution algorithms(DE), is proposed to exactly identify time-delays fractional order chaos systems. With the functional extrema model, the unknown time-delays, ... More

Robust Surface Hall Effect and Nonlocal Transport in SmB6: Indication for an Ideal Topological InsulatorNov 28 2012Jul 01 2013A topological insulator (TI) is an unusual quantum state in which the insulating bulk is topologically distinct from vacuum, resulting in a unique metallic surface that is robust against time-reversal invariant perturbations. These surface transport properties, ... More

Three dimensional photonic Dirac points in metamaterialsJun 25 2017Oct 20 2017Topological semimetals, representing a new topological phase that lacks a full bandgap in bulk states and exhibiting nontrivial topological orders, recently have been extended to photonic systems, predominantly in photonic crystals and to a lesser extent, ... More

Taming Distrust in the Decentralized Internet with PIXIUJan 18 2019Decentralized Internet is booming. People are fascinated by its promise that users can truly own their data. However, in a decentralized Internet, completing a task usually involves multiple nodes with mutual distrust. Such distrust might eventually become ... More

Magnetic Skyrmion Transport in a Nanotrack With Spatially Varying Damping and Non-adiabatic TorqueJul 18 2016Dec 15 2016Reliable transport of magnetic skyrmions is required for any future skyrmion-based information processing devices. Here we present a micromagnetic study of the in-plane current-driven motion of a skyrmion in a ferromagnetic nanotrack with spatially sinusoidally ... More

On a question of Babadi and TarokhJul 14 2013In a recent remarkable paper, Babadi and Tarokh proved the "randomness" of sequences arising from binary linear block codes in the sense of spectral distribution, provided that their dual distances are sufficiently large. However, numerical experiments ... More

A Coherent Integration Method Based on Radon Non-uniform FRFT for Random Pulse Repetition Interval (RPRI) RadarNov 03 2015To solve the range cell migration (RCM) and spectrum spread during the integration time induced by the motion of a target, this paper proposes a new coherent integration method based on Radon non-uniform FRFT (NUFRFT) for random pulse repetition interval ... More

Markov Processes in Blockchain SystemsApr 07 2019In this paper, we develop a more general framework of block-structured Markov processes in the queueing study of blockchain systems, which can provide analysis both for the stationary performance measures and for the sojourn times of any transaction and ... More

Lensless Fourier-Transform Ghost Imaging with Classical Incoherent LightMay 22 2006The Fourier-Transform ghost imaging of both amplitude-only and pure-phase objects was experimentally observed with classical incoherent light at Fresnel distance by a new lensless scheme. The experimental results are in good agreement with the standard ... More

Control and manipulation of a magnetic skyrmionium in nanostructuresApr 20 2016Sep 03 2016A magnetic skyrmionium is a nontopological soliton, which has a doughnut-like out-of-plane spin texture in thin films, and can be phenomenologically viewed as a coalition of two topological magnetic skyrmions with opposite topological numbers. Due to ... More

Exploiting Color Name Space for Salient Object DetectionMar 27 2017In this paper, we will investigate the contribution of color names for salient object detection. Each input image is first converted to the color name space, which is consisted of 11 probabilistic channels. By exploring the topological structure relationship ... More

Spin torque nano-oscillators based on antiferromagnetic skyrmionsNov 07 2018Skyrmion-based spin torque nano-oscillators are potential next-generation microwave signal generators. However, ferromagnetic skyrmion-based spin torque nano-oscillators cannot reach high oscillation frequencies. In this work, we propose to use the circular ... More

Dynamics of the antiferromagnetic skyrmion induced by a magnetic anisotropy gradientAug 27 2018Oct 09 2018The dynamics of antiferromagnets is a current hot topic in condensed matter physics and spintronics. However, the dynamics of insulating antiferromagnets cannot be excited by an electric current, which is a method usually used to manipulate ferromagnetic ... More

Radio-frequency spectroscopy of a strongly interacting spin-orbit coupled Fermi gasMar 09 2013We investigate experimentally and theoretically radio-frequency spectroscopy and pairing of a spin-orbit-coupled Fermi gas of $^{40}$K atoms near a Feshbach resonance at $B_{0}=202.2$ G. Experimentally, the integrated spectroscopy is measured, showing ... More

Bidirectional Control of Absence Seizures by the Basal Ganglia: A Computational EvidenceJan 10 2014Absence epilepsy is believed to be associated with the abnormal interactions between the cerebral cortex and thalamus. Besides the direct coupling, anatomical evidence indicates that the cerebral cortex and thalamus also communicate indirectly through ... More

Evidence of Chiral Order in the Charge-Ordered Phase of Superconducting La1.875Ba0.125Cuo4 Single Crystals Using Polar Kerr-Effect MeasurementsAug 22 2013Feb 25 2014High resolution polar Kerr effect (PKE) measurements were performed on La1.875Ba0.125Cuo4 single crystals revealing that a finite Kerr signal is measured below an onset temperature-T_K that coincides with charge ordering transition temperature T_{CO}. ... More

Time-Reversal-Symmetry-Breaking Superconductivity in Epitaxial Bismuth/Nickel BilayersSep 27 2016Feb 23 2017Superconductivity that spontaneously breaks time-reversal symmetry (TRS) has been found, so far, only in a handful of 3D crystals with bulk inversion symmetry. Here we report an observation of spontaneous TRS breaking in a 2D superconducting system without ... More

Electronic transport and device prospects of monolayer molybdenum disulphide grown by chemical vapour depositionJan 20 2014Layered transition metal dichalcogenides display a wide range of attractive physical and chemical properties and are potentially important for various device applications. Here we report the electronic transport and device properties of monolayer molybdenum ... More

Current-Induced Dynamics and Chaos of an Antiferromagnetic BimeronMay 22 2019Magnetic bimeron is a topologically non-trivial spin texture carrying an integer topological charge, which can be regarded as the counterpart of skyrmion in easy-plane magnets. The controllable creation and manipulation of bimerons are crucial for practical ... More

A Sodium laser guide star coupling efficiency measurement methodMay 20 2016Large telescope's adaptive optics (AO) system requires one or several bright artificial laser guide stars to improve its sky coverage. The recent advent of high power sodium laser is perfect for such application. However, besides the output power, other ... More

Dynamics of magnetic skyrmion clusters driven by spin-polarized current with a spatially varied polarizationJan 26 2018Apr 06 2018Magnetic skyrmions are promising candidates for future information technology. Here, we present a micromagnetic study of isolated skyrmions and skyrmion clusters in ferromagnetic nanodisks driven by the spin-polarized current with spatially varied polarization. ... More

Outcome-Driven Clustering of Acute Coronary Syndrome Patients using Multi-Task Neural Network with AttentionMar 01 2019Mar 27 2019Cluster analysis aims at separating patients into phenotypically heterogenous groups and defining therapeutically homogeneous patient subclasses. It is an important approach in data-driven disease classification and subtyping. Acute coronary syndrome ... More

Discovery of intrinsic ferromagnetism in 2D van der Waals crystalsMar 16 2017It has been long hoped that the realization of long-range ferromagnetic order in two-dimensional (2D) van der Waals (vdW) crystals, combined with their rich electronic and optical properties, would open up new possibilities for magnetic, magnetoelectric ... More

Comment on "One-way deficit of two qubit X states"Sep 19 2015We improve the recent method of Wang et. al to calculate exactly the one-way information deficit of any X-state. Analytical formulas of the one-way information deficit are given for several nontrivial regions of the parameters.

On a question of Babadi and Tarokh IIAug 21 2013In this paper we continue to study a question proposed by Babadi and Tarokh \cite{ba2} on the mysterious randomness of Gold sequences. Upon improving their result, we establish the randomness of product of pseudorandom matrices formed from two linear ... More

Electric field-induced creation and directional motion of domain walls and skyrmion bubblesAug 07 2017Dec 12 2018Magnetization dynamics driven by an electric field could provide long-term benefits to information technologies because of its ultralow power consumption. Meanwhile, the Dzyaloshinskii-Moriya interaction in interfacially asymmetric multilayers consisting ... More

Spin-Topology Dependent Brownian Diffusion of SkyrmionsJan 24 2019Non-interacting particles exhibiting Brownian motion have been observed in many occasions of sciences, such as molecules suspended in liquids, optically trapped microbeads, and spin textures in magnetic materials. In particular, a detailed examination ... More

Generation and Hall effect of skyrmions enabled via using nonmagnetic point contactsFeb 19 2019To enable functional skyrmion based spintronic devices, the controllable generation and manipulation of skyrmions is essential. While the generation of skyrmions by using a magnetic geometrical constriction has already been demonstrated, this approach ... More

A decade of skyrmionics: Writing, deleting, reading and processing magnetic skyrmions toward spintronic applicationsJun 11 2019Jun 12 2019The field of skyrmionics has been actively investigated across a wide range of topics during the last decade. In this topical review, we review and discuss key results and findings in skyrmionics since the first experimental observation of magnetic skyrmions ... More

Weight Distributions of a Class of Cyclic Codes with Arbitrary Number of Zeros IIMay 24 2014Cyclic codes are an important class of linear codes, whose weight distribution have been extensively studied. So far, most of previous results obtained were for cyclic codes with no more than three zeros. Recently, \cite{Y-X-D12} constructed a class of ... More

Effects of swift heavy ions irradiation parameters on optical properties of muscovite micaApr 25 2014Jul 09 2014Muscovite mica sheets with a thickness of 25 {\mu}m were irradiated by various kinds of swift heavy ions (Sn, Xe and Bi) in HIRFL. The fluences ranged from 1$\times$10^{10} ions/cm^2 to 8$\times$10^{11} ions/cm^2. The electronic energy loss (dE/dx)_e ... More

Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap TemperatureNov 15 2007Mar 31 2008Polar Kerr effect in the high-Tc superconductor \YBCO was measured at zero magnetic field with high precision using a cyogenic Sagnac fiber interferometer. We observed non-zero Kerr rotations of order $\sim 1 \mu$rad appearing near the pseudogap temperature ... More

Robust antiferromagnetism preventing superconductivity in pressurized Ba0.61K0.39Mn2Bi2Apr 20 2014Here, we report that K-doped BaMn2Bi2 shows no experimental evidence of superconductivity down to 1.5 K under pressures up to 35.6 GPa, however, a tetragonal to an orthorhombic phase transition is observed at pressure of 20 GPa. Theoretical calculations ... More

Integral points close to a space curveSep 20 2018We establish sharp lower and upper bounds for the number of integral points near dilations of a space curve with nowhere vanishing torsion.

Hausdorff theory of dual approximation on planar curvesMar 31 2014Aug 19 2015Ten years ago, Beresnevich-Dickinson-Velani initiated a project that develops the general Hausdorff measure theory of dual approximation on non-degenerate manifolds. In particular, they established the divergence part of the theory based on their general ... More

Rational points near planar curves and Diophantine approximationMar 28 2014Feb 09 2015In this paper, we establish asymptotic formulae with optimal errors for the number of rational points that are close to a planar curve, which unify and extend the results of Beresnevich-Dickinson-Velani and Vaughan-Velani. Furthermore, we complete the ... More

Strong screening effects on resonant nuclear reaction $^{23}$Mg $(p,γ)$ $^{24}$Al in the surface of magnetarsFeb 15 2016Based on the theory of relativistic superstrong magnetic fields(SMFs), by using the method of the Thomas-Fermi-Dirac approximations, we investigate the problem of strong electron screening(SES) in SMFs, and the influence of SES on the nuclear reaction ... More

Quantum superchemistry in an output coupler of coherent matter wavesNov 08 2006We investigate the quantum superchemistry or Bose-enhanced atom-molecule conversions in a coherent output coupler of matter waves, as a simple generalization of the two-color photo-association. The stimulated effects of molecular output step and atomic ... More

Spatial asymptotics for the parabolic Anderson models with generalized time-space Gaussian noiseMar 30 2016Partially motivated by the recent papers of Conus, Joseph and Khoshnevisan [Ann. Probab. 41 (2013) 2225-2260] and Conus et al. [Probab. Theory Related Fields 156 (2013) 483-533], this work is concerned with the precise spatial asymptotic behavior for ... More

Which Facial Expressions Can Reveal Your Gender? A Study With 3D FacesMay 01 2018Human exhibit rich gender cues in both appearance and behavior. In computer vision domain, gender recognition from facial appearance have been extensively studied, while facial behavior based gender recognition studies remain rare. In this work, we first ... More

On cubic graphical regular representations of finite simple groupsSep 26 2017Jun 10 2019A recent conjecture of the author and Teng Fang states that there are only finitely many finite simple groups with no cubic graphical regular representation. In this paper, we make a crucial progress towards this conjecture by giving an affirmative answer ... More

Evaluation of new large area PMT with high quantum efficiencyApr 10 2015Jan 29 2016The neutrino detector of the Jiangmen Underground Neutrino Observatory (JUNO) is designed to use 20 kilotons of liquid scintillator and approximately 16,000 20-inch photomultipliers (PMTs).One of the options is to use the 20-inch R12860 PMT with high ... More

On the deformation of a Barsotti-Tate group over a curveMar 12 2013In this paper, we study deformations of pairs (C,G) where G is a height 2 BT(or BT_n) group over a complete curve on algebraically closed field k of characteristic p. We prove that, if the curve C is a versal deformation of G, then there exists a unique ... More

l-adic Monodromy and Shimura curves in positive characteristicsMar 01 2014In this paper, we seek an appropriate definition for a Shimura curve of Hodge type in positive characteristics, i.e. a characterization, in terms of geometry mod p, of curves in positive characteristics which are reduction of Shimura curves over the complex ... More

A Characterization of Mumford Curves with Good ReductionJun 02 2013Mumford defines a certain type of Shimura curves of Hodge type, parameterizing polarized complex abelian fourfolds. In this paper, we study the good reduction of such a curve in positive characteristic and give a characterization in the generically ordinary ... More

Exploring Sparsity in Multi-class Linear Discriminant AnalysisDec 26 2014Jan 09 2015Recent studies in the literature have paid much attention to the sparsity in linear classification tasks. One motivation of imposing sparsity assumption on the linear discriminant direction is to rule out the noninformative features, making hardly contribution ... More

Propagation of Nonlinear Acoustic Waves in the Suspension of Ultrasound Contrast Agents Part I: Equation for Counting Resonance Effects and Revealing Acoustic LocalizationOct 04 2018The oscillations of ultrasound contrast agents are of particular importance to the understanding of the propagation of acoustic waves in the bubbly liquids (suspensions of ultrasound contrast agents). Acoustic waves propagating in bubbly liquids have ... More

Sequence-based Multiscale Model (SeqMM) for High-throughput chromosome conformation capture (Hi-C) data analysisJul 12 2017Jul 31 2017In this paper, I introduce a Sequence-based Multiscale Model (SeqMM) for the biomolecular data analysis. With the combination of spectral graph method, I reveal the essential difference between the global scale models and local scale ones in structure ... More

Interdiffusion in Group IV Semiconductor Material Systems: Applications, Methods and DiscoveriesJan 29 2019Group IV semiconductor alloys, heterostructures and solid solutions such as SiGe, GeSn, Ge/Si and SiGe:C have been widely used and under extensive research for applications in major microelectronic and photonic devices. In the growth and processing of ... More

On an anisotropic Minkowski problemMar 06 2012In this paper, we study the anisotropic Minkowski problem. It is a problem of prescribing the anisotropic Gauss-Kronecker curvature for a closed strongly convex hypersurface in Euclidean space as a function on its anisotropic normals in relative or Minkowski ... More

Hilbert scheme of twisted cubics as simple wall-crossingAug 16 2016We study the Hilbert scheme of twisted cubics in the three-dimensional projective space by using Bridgeland stability conditions. We use wall-crossing techniques to describe its geometric structure and singularities, which reproves the classical result ... More

Quasiprimitive groups containing a transitive alternating groupAug 31 2015This paper classifies quasiprimitive permutation groups with a transitive subgroup which is isomorphic to $\A_n$ for some $n\geqslant5$.

A Note on The Backfitting Estimation of Additive ModelsMar 20 2009The additive model is one of the most popular semiparametric models. The backfitting estimation (Buja, Hastie and Tibshirani, 1989, \textit{Ann. Statist.}) for the model is intuitively easy to understand and theoretically most efficient (Opsomer and Ruppert, ... More

Hyperbolic Invariant Sets With Positive MeasuresMar 21 2005Aug 26 2005If a $C^{1 + a}$, $a >0$, volume-preserving diffeomorphism on a compact manifold has a hyperbolic invariant set with positive volume, then the map is Anosov. We also give a direct proof of ergodicity of volume-preserving $CC^{1+a}$, $a>0$, Anosov diffeomorphism ... More

The geodesic problem in quasimetric spacesJul 22 2008May 27 2009In this article, we study the geodesic problem in a generalized metric space, in which the distance function satisfies a relaxed triangle inequality $d(x,y)\leq \sigma (d(x,z)+d(z,y))$ for some constant $\sigma \geq 1$, rather than the usual triangle ... More

Deligne-Riemann-Roch Theorems I. Uniqueness of Deligne Pairings and Degree $1$ Part of Deligne-Riemann-Roch IsomorphismsOct 26 2017Jan 18 2018This is the first of a series of papers. Our final goal is to establish Deligne-Riemann-Roch isomorphisms in various settings. In this paper, we establish a uniqueness theorem for Deligne pairings and prove the degree $1$ part of the Deligne-Riemann-Roch ... More

Probe CP violation in $H\to γZ$ through forward-backward asymmetryAug 27 2017We suggest that the forward-backward asymmetry $(A_{FB})$ of the charged lepton in $gg\to H\to\gamma Z\to\gamma \ell^-\ell^+$ process could be used to probe the CP violating $H\gamma Z$ coupling when the interference from $gg\to\gamma Z\to\gamma \ell^-\ell^+$ ... More

A quantitative structure comparison with persistent similarityJul 12 2017Biomolecular structure comparison not only reveals evolutionary relationships, but also sheds light on biological functional properties. However, traditional definitions of structure or sequence similarity always involve superposition or alignment and ... More

Experiments and Modeling of Mass Transport Phenomena in SiGe DevicesSep 26 2018Recent experiments and continuum modeling work on dopant diffusion and segregation, Si-Ge interdiffusion, and defect engineering in SiGe material systems are reviewed. Doping impact on Ge thin film quality and interdiffusion is also discussed. These are ... More

Morphology of Flow Patterns Generated by Viscous Fingering from Miscible FluidsSep 18 2018A rest fluid displaced by a less viscous fluid in a porous medium triggers the so-called Saffman-Taylor instability at their contact front and hence forms complicated finger-like patterns. When the two fluids are miscible, the surface tension at their ... More

Revealing the missing heritability via cross-validated genome-wide association studiesJul 30 2013Aug 07 2013Presented here is a simple method for cross-validated genome-wide association studies (cvGWAS). Focusing on phenotype prediction, the method is able to reveal a significant amount of missing heritability by properly selecting a small number of loci with ... More

Optimal Schatten-q and Ky-Fan-k Norm Rate of Low Rank Matrix EstimationMar 25 2014Apr 03 2014In this paper, we consider low rank matrix estimation using either matrix-version Dantzig Selector $\hat{A}_{\lambda}^d$ or matrix-version LASSO estimator $\hat{A}_{\lambda}^L$. We consider sub-Gaussian measurements, $i.e.$, the measurements $X_1,\ldots,X_n\in\mathbb{R}^{m\times ... More

A Constructive Approach to the Estimation of Dimension Reduction DirectionsJan 26 2007In this paper, we propose two new methods to estimate the dimension-reduction directions of the central subspace (CS) by constructing a regression model such that the directions are all captured in the regression mean. Compared with the inverse regression ... More

Estimation of low rank density matrices by Pauli measurementsOct 16 2016Jan 05 2017Density matrices are positively semi-definite Hermitian matrices with unit trace that describe the states of quantum systems. Many quantum systems of physical interest can be represented as high-dimensional low rank density matrices. A popular problem ... More

Tensor decomposition of isocrystals characterizes Mumford curvesOct 10 2013We seek an appropriate definition for a Shimura curve of Hodge type in positive characteristics via characterizing curves in positive characteristics which are reduction of Shimura curve over $\mathbb{C}$. In this paper, we study the liftablity of a curve ... More

Local analysis of cyclotomic difference setsJul 18 2017Jul 31 2018We develop a local analysis method to study cyclotomic difference sets in finite fields. This is by applying a general existence criterion for cyclotomic difference sets via Gauss sums and Gauss periods to various underlying local fields. With this local ... More

Generic ill-posedness for wave equation of power type on 3D torusJul 26 2015Aug 19 2015In this article, we prove that the equation \begin{equation*} \left\{\begin{split} &(\partial^2_t-\Delta)u+|u|^{p-1}u=0,\ \ \ 3\leq p<5 &\big(u(0),\partial_tu(0)\big)=(u_0,u_1)\in H^{s}(\mathbb{T}^3)\times H^{s-1}(\mathbb{T}^3)=:\mathcal{H}^s(\mathbb{T}^3) ... More

Numerical simulation of optimal transport pathsJul 23 2008This article provides numerical simulation of an optimal transport path from a single source to an atomic measure of equal total mass. We first construct an initial transport path, and then modify the path as much as possible by using both local and global ... More

Homoclinic Points For Area-Preserving Surface DiffeomorphismsJun 13 2006We show a $C^r$ connecting lemma for area-preserving surface diffeomorphisms and for periodic Hamiltonian on surfaces. We prove that for a generic $C^r$, $r=1, 2, ...$, $\infty$, area-preserving diffeomorphism on a compact orientable surface, homotopic ... More

Multiscale virtual particle based elastic network model (MVP-ENM) for biomolecular normal mode analysisJul 31 2017In this paper, a multiscale virtual particle based elastic network model (MVP-ENM) is proposed for biomolecular normal mode analysis. The multiscale virtual particle model is proposed for the discretization of biomolecular density data in different scales. ... More

Tronquée Solutions of the Third and Fourth Painlevé EquationsMar 29 2018Sep 08 2018Recently in a paper by Lin, Dai and Tibboel, it was shown that the third and fourth Painlev\'e equations have tronqu\'ee and tritronqu\'ee solutions. We obtain global information about these tronqu\'ee and tritronqu\'ee solutions. We find their sectors ... More

2D materials coated plasmonic structures for SERS applicationsFeb 26 2018Two-dimensional (2D) materials, such as graphene and hexagonal boron nitride, are new kind of materials that can serve as substrates for surface enhanced Raman spectroscopy (SERS). When combined with traditional metallic plasmonic structures, the hybrid ... More

A Partial Order on Bipartitions From the Generalized Springer CorrespondenceJan 29 2018Feb 28 2018In \cite{Lusztig}, Lusztig gives an explicit formula for the bijection between the set of bipartitions and the set $\mathcal{N}$ of unipotent classes in a spin group which carry irreducible local systems equivariant for the spin group but not equivariant ... More

A Note on the Nonlinear Attenuation of an Ultrasound Contrast Agent Calculated by Rayleigh-Plesset EquationSep 25 2018The dynamics of microbubble-based Ultrasound contrast agents (UCAs) is governed by the Rayleigh-Plesset equation, of which the linearization is used to formulate the attenuation of an UCA under the excitation of ultrasound. Recent experimental observations ... More

Analysis on the Integrability of the Rayleigh-Plesset Equation with Painlevé Test and Lie Symmetry GroupsSep 20 2018The Rayleigh-Plesset equation (RPE) is a nonlinear ordinary differential equation (ODE) of second order that governs the dynamics of a spherical bubble and plays an essential role in interpreting many real-world phenomena involving the presence of bubbles ... More

Ramified optimal transportation in geodesic metric spacesJul 31 2009An optimal transport path may be viewed as a geodesic in the space of probability measures under a suitable family of metrics. This geodesic may exhibit a tree-shaped branching structure in many applications such as trees, blood vessels, draining and ... More