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Distance Geometry for Kissing SpheresMar 09 2012Oct 23 2012A kissing sphere is a sphere that is tangent to a fixed reference ball. We develop in this paper a distance geometry for kissing spheres, which turns out to be a generalization of the classical Euclidean distance geometry.

Even More Infinite Ball Packings from Lorentzian Root SystemsAug 11 2014Sep 21 2015Boyd (1974) proposed a class of infinite ball packings that are generated by inversions. Later, Maxwell (1983) interpreted Boyd's construction in terms of root systems in Lorentz space. In particular, he showed that the space-like weight vectors correspond ... More

Apollonian Ball Packings and Stacked PolytopesJun 11 2013Dec 23 2013We investigate in this paper the relation between Apollonian $d$-ball packings and stacked $(d+1)$-polytopes for dimension $d\ge 3$. For $d=3$, the relation is fully described: we prove that the $1$-skeleton of a stacked $4$-polytope is the tangency graph ... More

Ball packings with high chromatic numbers from strongly regular graphsFeb 06 2015May 25 2016Inspired by Bondarenko's counter-example to Borsuk's conjecture, we notice some strongly regular graphs that provide examples of ball packings whose chromatic numbers are significantly higher than the dimensions. In particular, from generalized quadrangles ... More

CRT-Based High Speed Parallel Architecture for Long BCH EncodingApr 21 2009BCH (Bose-Chaudhuri-Hocquenghen) error correcting codes ([1]-[2]) are now widely used in communication systems and digital technology. Direct LFSR(linear feedback shifted register)-based encoding of a long BCH code suffers from serial-in and serial-out ... More

Minimal rPD-Twin SurfacesOct 25 2016We study a $2$-parameter family of minimal surfaces with twin structure, namely the rPD-twin surfaces. A (polysynthetic) rPD-twin surface can be seen as copies of an rPD-surface that are symmetric about parallel mirrors. Candidates of rPD-twin surfaces ... More

Existence of the rhombohedral and tetragonal deformation families of the gyroidJan 13 2019We provide an existence proof for two 1-parameter families of triply periodic minimal surfaces of genus three, namely the tG family with tetragonal symmetry that contains the gyroid, and the rGL family with rhombohedral symmetry that contains the gyroid ... More

Minimal Twin SurfacesOct 25 2016Oct 16 2017We report some minimal surfaces that can be seen as copies of a triply periodic minimal surface (TPMS) related by reflections in parallel mirrors. We call them minimal twin surfaces for the resemblance with twin crystal. Brakke's Surface Evolver is employed ... More

A general model for dynamic contact angle over full speed regimeJan 25 2019The prevailing models for advancing dynamic contact angle are under intensive debates, and the fitting performances are far from satisfying in practice. The present study proposes a model based on the recent understanding of the multi-scale structure ... More

Identities involving weighted Catalan, Schroder and Motzkin pathsAug 08 2016Aug 16 2016In this paper, we investigate the weighted Catalan, Motzkin and Schr\"oder numbers together with the corresponding weighted paths. The relation between these numbers is illustrated by three equations, which also lead to some known and new interesting ... More

Visualisation of financial time series by linear principal component analysis and nonlinear principal component analysisOct 29 2014In this dissertation, the main goal is visualisation of financial time series. We expect that visualisation of financial time series will be a useful auxiliary for technical analysis. Firstly, we review the technical analysis methods and test our trading ... More

An orthorhombic deformation family of Schwarz' H surfacesJul 26 2018The classical H surfaces of H. A. Schwarz form a 1-parameter family of triply periodic minimal surfaces (TPMS) that are usually described as close relatives to his more famous P surface. However, a crucial distinction between these surfaces is that the ... More

Another Proof of Oscar Rojo's TheoremsNov 15 2010We present here another proof of Oscar Rojo's theorems about the spectrum of graph Laplacian on certain balanced trees, by taking advantage of the symmetry properties of the trees in question, and looking into the eigenfunctions of Laplacian.

How to find G-admissible abelian coverings of a graph?Mar 15 2013Given a finite connected simple graph $\Gamma$, and a subgroup $G$ of its automorphism group, a general method for finding all finite abelian regular coverings of $\Gamma$ that admit a lift of each element of $G$ is developed. As an application, all connected ... More

Deterministic Construction of RIP Matrices in Compressed Sensing from Constant Weight CodesJun 08 2015Jun 12 2015The expicit restricted isometry property (RIP) measurement matrices are needed in practical application of compressed sensing in signal processing. RIP matrices from Reed-Solomon codes, BCH codes, orthogonal codes, expander graphs have been proposed and ... More

Supercongruences concerning truncated hypergeometric seriesJun 07 2018Jun 21 2018Let $n\geq 3$ be an integer and $p$ be a prime with $p\equiv 1\pmod{n}$. In this paper, we show that $${}_nF_{n-1}\bigg[\begin{matrix} \frac{n-1}{n}&\frac{n-1}{n}&\ldots&\frac{n-1}{n}\\ &1&\ldots&1\end{matrix}\bigg | \, 1\bigg]_{p-1}\equiv -\Gamma_p\bigg(\frac{1}{n}\bigg)^n\pmod{p^3}, ... More

A new deformation family of Schwarz' D surfaceApr 04 2018We prove the existence of a new 2-parameter family o$\Delta$ of embedded triply periodic minimal surfaces of genus 3. The new surfaces share many properties with classical orthorhombic deformations of Schwarz' D surface, but also exotic in many ways. ... More

Chiral geometry in multiple chiral doublet bandsJul 05 2015The chiral geometry of the multiple chiral doublet bands with identical configuration is discussed for different triaxial deformation parameters $\gamma$ in the particle rotor model with $\pi h_{11/2}\otimes \nu h_{11/2}^{-1}$. The energy spectra, electromagnetic ... More

Accelerating Nesterov's Method for Strongly Convex Functions with Lipschitz GradientSep 27 2011We modify Nesterov's constant step gradient method for strongly convex functions with Lipschitz continuous gradient described in Nesterov's book. Nesterov shows that $f(x_k) - f^* \leq L \prod_{i=1}^k (1 - \alpha_k) \| x_0 - x^* \|_2^2$ with $\alpha_k ... More

Minimum vertex covers and the spectrum of the normalized Laplacian on treesOct 20 2010May 05 2012We show that, in the graph spectrum of the normalized graph Laplacian on trees, the eigenvalue 1 and eigenvalues near 1 are strongly related to minimum vertex covers. In particular, for the eigenvalue 1, its multiplicity is related to the size of a minimum ... More

Strange Quark Stars as Probe of Dark MatterMar 24 2016Aug 14 2016We demonstrate that the observation of old strange quark stars (SQSs) can set important limits on the scattering cross sections $\sigma_q$ between the light quarks and the non-interacting scalar dark matter (DM). By analyzing a set of 1403 of solitary ... More

Effects of the U-boson on the inner edge of neutron star crustsNov 03 2011Mar 24 2012We explore effects of the light vector $U$-boson, which is weakly coupled to nucleons, on the transition density $\rho_{t}$ and pressure $P_{t}$ at the inner edge separating the liquid core from the solid crust of neutron stars. Three methods, i.e., the ... More

Multi-sequence segmentation via score and higher-criticism testsJun 23 2017We propose local segmentation of multiple sequences sharing a common time- or location-index, building upon the single sequence local segmentation methods of Niu and Zhang (2012) and Fang, Li and Siegmund (2016). We also propose reverse segmentation of ... More

Lorentzian Coxeter systems and Boyd-Maxwell ball packingsOct 31 2013Mar 17 2016In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In this paper, we show that the observed fractals are exactly the ball packings described by Boyd and Maxwell. This ... More

New multivariate tests for assessing covariate balance in matched observational studiesSep 13 2016We propose new tests for assessing whether covariates in a treatment group and matched control group are balanced in observational studies. The tests exhibit high power under a wide range of multivariate alternatives, some of which existing tests have ... More

On the gaps between consecutive primesFeb 07 2018Let $p_n$ denote the $n$-th prime. For any $m\geq 1$, there exist infinitely many $n$ such that $p_{n}-p_{n-m}\leq C_m$ for some large constant $C_m>0$, and $$p_{n+1}-p_n\geq \frac{c_m\log n\log\log n\log\log\log\log n}{\log\log\log n}, $$ for some small ... More

Limit Directions for Lorentzian Coxeter SystemsMar 06 2014Every Coxeter group admits a geometric representation as a group generated by reflections in a real vector space. In the projective representation space, limit directions are limits of injective sequences in the orbit of some base point. Limit roots are ... More

A weighted edge-count two-sample test for multivariate and object dataApr 22 2016Two-sample tests for multivariate data and non-Euclidean data are widely used in many fields. Parametric tests are mostly restrained to certain types of data that meets the assumptions of the parametric models. In this paper, we study a nonparametric ... More

Entanglement Entropy in $T\overline{T}$-Deformed CFTJul 22 2018Aug 28 2018In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We compute the correction ... More

The auxiliary function method for waveform based earthquake locationJun 17 2017This paper introduces the auxiliary function method (AFM), a novel, fast and simple approach for waveform based earthquake location. From any initial hypocenter and origin time, we can construct the auxiliary function, whose zero set contains the real ... More

Irreversible Markov chain Monte Carlo algorithm for the self-avoiding walkFeb 04 2016We design an irreversible Markov chain Monte Carlo algorithm for the self-avoiding walk (SAW). It outperforms the Berretti-Sokal algorithm. The gained efficiency increases with the spatial dimension, from about $10$ times in two dimensions to around $40$ ... More

Form Factor Effects in the Direct Detection of Isospin-Violating Dark MatterMar 20 2014Jul 01 2014Isospin-violating dark matter (IVDM) provides a possible mechanism to ameliorate the tension among recent direct detection experiments. For IVDM, we demonstrate that the results of direct detection experiments based on neutron-rich target nuclei may depend ... More

Cycle symmetry, limit theorems, and fluctuation theorems for diffusion processes on the circleNov 09 2013Apr 26 2017Cyclic structure and dynamics are of great interest in both the fields of stochastic processes and nonequilibrium statistical physics. In this paper, we find a new symmetry of the Brownian motion named as the quasi-time-reversal invariance. It turns out ... More

Measuring robustness of community structure in complex networksMar 27 2015The theory of community structure is a powerful tool for real networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained from complex ... More

Witness for a measure of genuine multipartite quantum discord for arbitrary N partite quantum stateAug 22 2011We propose a Witness for a measure of genuine multipartite quantum discord for arbitrary N partite quantum state.

ResumeVis: A Visual Analytics System to Discover Semantic Information in Semi-structured Resume DataMay 15 2017Massive public resume data emerging on the WWW indicates individual-related characteristics in terms of profile and career experiences. Resume Analysis (RA) provides opportunities for many applications, such as talent seeking and evaluation. Existing ... More

On the asymptotic variance of reversible Markov chain without cyclesDec 11 2017Markov chain Monte Carlo(MCMC) is a popular approach to sample from high dimensional distributions, and the asymptotic variance is a commonly used criterion to evaluate the performance. While most popular MCMC algorithms are reversible, there is a growing ... More

Gauge theory on $Z_2 \times Z_2 \ti Z_2 $ Discrete Group and a Spontaneous $CP$ Violation Toy ModelAug 29 1994In the spirit of Non-commutative differential calculus on discrete group, we construct a toy model of spontaneous $CP$ violation (SCPV). Our model is different from the well-known Weinberg-Branco model although it involves three Higgs doublets and preserve ... More

$ε$-Strong Simulation of Fractional Brownian Motion and Related Stochastic Differential EquationsFeb 21 2019Consider the fractional Brownian Motion (fBM) $B^H=\{B^H(t): t \in [0,1] \}$ with Hurst index $H\in (0,1)$. We construct a probability space supporting both $B^H$ and a fully simulatable process $\hat B_{\epsilon}^H $ such that $$\sup_{t\in [0,1]}|B^H(t)-\hat ... More

Locally Repairable Codes with Multiple $(r_{i}, δ_{i})$-LocalitiesFeb 19 2017May 02 2017In distributed storage systems, locally repairable codes (LRCs) are introduced to realize low disk I/O and repair cost. In order to tolerate multiple node failures, the LRCs with \emph{$(r, \delta)$-locality} are further proposed. Since hot data is not ... More

Event mixing does not reproduce single particle acceptance convolutions for nonuniform pseudorapidity distributionsApr 30 2013Jan 02 2014We point out that the mixed-event method for two-particle acceptance correction, widely used in particle correlation measurements at RHIC and LHC, is wrong in cases where the single particle pseudorapidity distribution is significantly nonuniform. The ... More

Scattering of Scalar Waves by Schwarzschild Black Hole Immersed in Magnetic FieldNov 03 2011The magnetic field is one of the most important constituents of the cosmic space and one of the main sources of the dynamics of interacting matter in the universe. The astronomical observations imply the existence of a strong magnetic fields of up to ... More

Long Short-Term Memory Spatial Transformer NetworkJan 08 2019Spatial transformer network has been used in a layered form in conjunction with a convolutional network to enable the model to transform data spatially. In this paper, we propose a combined spatial transformer network (STN) and a Long Short-Term Memory ... More

Quantum entanglement of particles on a ring with fractional statisticsJun 02 2009In this paper we investigate the von Neumann entropy in the ground state of one-dimensional anyonic systems with the repulsive interaction. Based on the Bethe-ansatz method, the entanglement properties for the arbitrary statistical parameter ($0\leq\kappa\leq1$) ... More

Constraints on large-extra-dimensions model through 125 GeV Higgs pair production at the LHCNov 22 2012Based on the analysis of 5 fb^-1 of data at the LHC, the ATLAS and CMS collaborations have presented evidence for a Higgs boson with a mass in the 125 GeV range. We consider the 125 GeV neutral Higgs pair production process in the context of large-extra-dimensions ... More

Cosmological Constraints on Variable Warm Dark MatterFeb 04 2013Mar 10 2013Although $\Lambda$CDM model is very successful in many aspects, it has been seriously challenged. Recently, warm dark matter (WDM) remarkably rose as an alternative of cold dark matter (CDM). In the literature, many attempts have been made to determine ... More

Additive Decompositions in Primitive ExtensionsFeb 07 2018This paper extends the classical Ostrogradsky-Hermite reduction for rational functions to more general functions in primitive extensions of certain types. For an element $f$ in such an extension $K$, the extended reduction decomposes $f$ as the sum of ... More

Phase diagrams of Fermi gases in a trap with mass and population imbalances at finite temperatureAug 07 2012The pairing and superfluid phenomena in a two-component Fermi gas can be strongly affected by the population and mass imbalances. Here we present phase diagrams of atomic Fermi gases as they undergo BCS--Bose-Einstein condensation (BEC) crossover with ... More

New $q$-ary Quantum MDS Codes with Distances Bigger than $\frac{q}{2}$Jul 30 2015Oct 07 2015Constructions of quantum MDS codes have been studied by many authors. We refer to the table in page 1482 of [3] for known constructions. However there are only few $q$-ary quantum MDS $[[n,n-2d+2,d]]_q$ codes with minimum distances $d>\frac{q}{2}$ for ... More

Witness to Detect The Genuine Multipartite Semiquantum for Arbitrary N Partite Quantum StateAug 21 2011Aug 23 2011we get a witness to detect the genuine multipartite semiquantum for arbitrary N partite quantum state.

On Optimal Ternary Locally Repairable CodesFeb 19 2017In an $[n,k,d]$ linear code, a code symbol is said to have locality $r$ if it can be repaired by accessing at most $r$ other code symbols. For an $(n,k,r)$ \emph{locally repairable code} (LRC), the minimum distance satisfies the well-known Singleton-like ... More

Disambiguating fine-grained place names from descriptions by clusteringAug 17 2018Everyday place descriptions often contain place names of fine-grained features, such as buildings or businesses, that are more difficult to disambiguate than names referring to larger places, for example cities or natural geographic features. Fine-grained ... More

Optimization on fixed low latency implementation of GBT protocol in FPGAAug 29 2016Oct 17 2016For accelerator physics experiment, the Front-End (FE) electronics components are subjected to a radiation background. GigaBit Transceiver (GBT) architecture is a protocol developed by CERN, to provide high-speed (4.8 Gbps) radiation hard optical link ... More

Detecting the concurrence of an unknown state with a single observableApr 06 2011While the detection of entanglement has been proved already to be quite a difficult task, experimental quantification of entanglement is even more challenging. In this work, we derive an analytical lower bound for the concurrence of a bipartite mix quantum ... More

Witness to detect quantum correlation of bipartite states in arbitrary dimensionApr 02 2011In this work we introduce a nonlinear witness that is a sufficient condition for detecting the vanishment of quantum correlation of bipartite states. Our result directly generalizes the result of [J. Maziero, R. M. Serra, arXiv:1012.3075] to arbitrary ... More

Optimization on fixed low latency implementation of GBT protocol in FPGAAug 29 2016Sep 16 2016For accelerator physics experiment, the Front-End (FE) electronics components are subjected to a radiation background. GigaBit Transceiver (GBT) architecture is a protocol developed by CERN, to provide high-speed (4.8 Gbps) radiation hard optical link ... More

On Fermionic T-duality of Sigma modes on AdS backgroundsSep 30 2009Dec 22 2009We study the fermionic T-duality symmetry of integrable Green-Schwarz sigma models on AdS backgrounds. We show that the sigma model on $AdS_5\times S^1$ background is self-dual under fermionic T-duality. We also construct new integrable sigma models on ... More

Criteria For $K$-Separability Of Multipartite Quantum StateMar 25 2011We derive criteria for $k$-separability of multipartite Quantum state

On the Mutual Information in Conformal Field TheoryApr 12 2017Apr 25 2017In this work, we study the universal behaviors in the mutual information of two disjoint spheres in a conformal field theory(CFT). By using the operator product expansion of the spherical twist operator in terms of the conformal family, we show that the ... More

Diquark mass differences from unquenched lattice QCDOct 26 2015We calculate diquark correlation functions in the Landau gauge on the lattice using overlap valence quarks and 2+1-flavor domain wall fermion configurations. Quark masses are extracted from the scalar part of quark propagators in the Landau gauge. Scalar ... More

Plagiarism Detection using ROUGE and WordNetMar 22 2010With the arrival of digital era and Internet, the lack of information control provides an incentive for people to freely use any content available to them. Plagiarism occurs when users fail to credit the original owner for the content referred to, and ... More

Electric-field-induced phase transition of <001> oriented Pb(Mg1/3Nb2/3)O3-PbTiO3 single crystalsJun 17 2002<001> oriented 0.7Pb(Mg1/3Nb2/3)O3-0.3PbTiO3 single crystals were poled under different electric fields, i.e. Epoling=4 kV/cm and Epoling=13 kV/cm. In addition to the temperature-dependent dielectric constant measurement, X-ray diffraction was also used ... More

Dense Gas in the Outer Spiral Arm of M51Dec 01 2016There is a linear relation between the mass of dense gas, traced by the HCN(1-0) luminosity, and the star formation rate (SFR), traced by the far-infrared luminosity. Recent observations of galactic disks have shown some systematic variations. In order ... More

Local spin density in two-dimensional electron gas with hexagonal boundaryDec 31 2006Aug 16 2007The intrinsic spin-Hall effect in hexagon-shaped samples is investigated. To take into account the spin-orbit couplings and to fit the hexagon edges, we derive the triangular version of the tight-binding model for the linear Rashba [Sov. Phys. Solid State ... More

Nuclear constraints on non-Newtonian gravity at femtometer scaleMar 13 2012Feb 11 2013Effects of the non-Newtonian gravity on properties of finite nuclei are studied by consistently incorporating both the direct and exchange contribution of the Yukawa potential in the Hartree-Fock approach using a well-tested Skyrme force for the strong ... More

A practical light transport system model for chemiluminescence distribution reconstructionDec 08 2018Plenoptic cameras and other integral photography instruments capture richer angular information from a scene than traditional 2D cameras. This extra information is used to estimate depth, perform superresolution or reconstruct 3D information from the ... More

LSTD: A Low-Shot Transfer Detector for Object DetectionMar 05 2018Recent advances in object detection are mainly driven by deep learning with large-scale detection benchmarks. However, the fully-annotated training set is often limited for a target detection task, which may deteriorate the performance of deep detectors. ... More

Multipartite Quantum Correlations in Open Quantum SystemsJul 17 2012In this paper we present a measure of quantum correlation for a multipartite system, defined as the sum of the correlations for all possible partitions. Our measure can be defined for quantum discord (QD), geometric quantum discord (GQD), or even by the ... More

Conformal Thermal Tensor Network and Universal Entropy on Topological ManifoldsAug 14 2017Aug 17 2017Partition functions of quantum critical systems, expressed as conformal thermal tensor networks, are defined on various manifolds which can give rise to universal entropy corrections. Through high-precision tensor network simulations of several quantum ... More

Independent and simultaneous tailoring of amplitude, phase, and complete polarization of vector beamsOct 28 2015We present an approach that enables complete control over the amplitude, phase and arbitrary polarization state on the Poincar\'e sphere of an optical beam in a 4-f system with a spatial light modulator (SLM). The beams can be constructed from a coaxial ... More

Constructions of Optimal Cyclic $(r,δ)$ Locally Repairable CodesSep 05 2016A code is said to be a $r$-local locally repairable code (LRC) if each of its coordinates can be repaired by accessing at most $r$ other coordinates. When some of the $r$ coordinates are also erased, the $r$-local LRC can not accomplish the local repair, ... More

The lowest scattering state of one-dimensional Bose gas with attractive interactionsMar 30 2011We investigate the lowest scattering state of one-dimensional Bose gas with attractive interactions trapped in a hard wall trap. By solving the Bethe ansatz equation numerically we determine the full energy spectrum and the exact wave function for different ... More

Non-Abelian topological spin liquids from arrays of quantum wires or spin chainsJan 06 2016Jan 28 2016We construct two-dimensional non-Abelian topologically ordered states by strongly coupling arrays of one-dimensional quantum wires via interactions. In our scheme, all charge degrees of freedom are gapped, so the construction can use either quantum wires ... More

Coupled spin-1/2 ladders as microscopic models for non-Abelian chiral spin liquidsNov 08 2016We construct a two-dimensional (2D) lattice model that is argued to realize a gapped chiral spin liquid with (Ising) non-Abelian topological order. The building blocks are spin-1/2 two-leg ladders with $SU(2)$-symmetric spin-spin interactions. The two-leg ... More

BranchGAN: Branched Generative Adversarial Networks for Scale-Disentangled Learning and Synthesis of ImagesMar 22 2018Nov 28 2018We introduce BranchGAN, a novel training method that enables unconditioned generative adversarial networks (GANs) to learn image manifolds at multiple scales. The key novel feature of BranchGAN is that it is trained in multiple branches, progressively ... More

A new earthquake location method based on the waveform inversionOct 23 2016In this paper, a new earthquake location method based on the waveform inversion is proposed. As is known to all, the waveform misfit function is very sensitive to the phase shift between the synthetic waveform signal and the real waveform signal. Thus, ... More

Wolter-I-like X-ray telescope structure using one conical mirror and one quadric mirrorAug 09 2016Nested multilayer mirrors are commonly used in X-ray telescope structures to increase the collecting area. To balance the difficulty and cost of producing these mirrors, the classical Wolter-I structure has previously been replaced with a conical Wolter-I ... More

Two-photon interference with two independent pseudo-thermal sourcesOct 12 2006Nov 23 2006The nature of two-photon interference is a subject that has aroused renewed interest in recent years and is still under debate. In this paper we report the first observation of two-photon interference with independent pseudo-thermal sources in which sub-wavelength ... More

Relaxation of the entanglement spectrum in quench dynamics of topological systemsOct 04 2016Oct 07 2016We study how the entanglement spectrum relaxes to its steady state in one-dimensional quadratic systems after a quantum quench. In particular we apply the saddle point expansion to the one-dimensional dimerized chain and p-wave superconductor. We find ... More

Edge State, Entanglement Entropy Spectra and Critical Hopping Coupling of Anisotropic Honeycomb LatticeApr 21 2010May 04 2011For a bipartite honeycomb lattice, we show that the Berry phase depends not only on the shape of the system but also on the hopping couplings. Using the entanglement entropy spectra obtained by diagonalizing the block Green's function matrices, the maximal ... More

Non-Newtonian gravity in finite nucleiAug 24 2012In this talk, we report our recent study of constraining the non-Newtonian gravity at femtometer scale. We incorporate the Yukawa-type non-Newtonian gravitational potential consistently to the Skyrme functional form using the exact treatment for the direct ... More

Dense CNN Learning with Equivalent MappingsMay 24 2016Large receptive field and dense prediction are both important for achieving high accuracy in pixel labeling tasks such as semantic segmentation. These two properties, however, contradict with each other. A pooling layer (with stride 2) quadruples the ... More

Joint Time Allocation and Power Control in Multi-Cell Networks with Load Coupling: Energy Saving and Rate ImprovementJul 01 2017In this paper, we consider the problems of minimizing sum power and maximizing sum rate for multi-cell networks with load coupling, where coupling relation occurs among cells due to inter-cell interference. This coupling relation is characterized by the ... More

Current-induced spin polarization in spin-orbit-coupled two-dimensional electron systemsFeb 04 2008Oct 19 2008Current-induced spin polarization (CISP) is rederived in ballistic spin-orbit-coupled electron systems, based on equilibrium statistical mechanics. A simple and useful picture is correspondingly proposed to help understand the CISP and predict the polarization ... More

Spin precession due to spin-orbit coupling in a two-dimensional electron gas with spin injection via ideal quantum point contactAug 13 2004Aug 14 2004We present the analytical result of the expectation value of spin resulting from an injected spin polarized electron into a semi-infinitely extended 2DEG plane with [001] growth geometry via ideal quantum point contact. Both the Rashba and Dresselhaus ... More

Convergence Analysis of Signed Nonlinear NetworksOct 26 2018Jan 31 2019This work analyzes the convergence properties of signed networks with nonlinear edge functions. We consider diffusively coupled networks comprised of maximal equilibrium-independent passive (MEIP) dynamics on the nodes, and a general class of nonlinear ... More

Andreev reflection resonant tunneling through a precessing spinSep 11 2004We investigate Andreev reflection (AR) resonant tunneling through a precessing spin which is coupled to a normal metallic lead and a superconducting lead. The formula of the AR conductance at zero temperature is obtained as a function of chemical potential ... More

Martingale Hardy spaces with variable exponentsApr 09 2014Feb 17 2016In this paper, we introduce Hardy spaces with variable exponents defined on a probability space and develop the martingale theory of variable Hardy spaces. We prove the weak type and strong type inequalities on Doob's maximal operator and get a $(1,p(\cdot),\infty)$-atomic ... More

Ground-state properties of few-Boson system in a one-dimensional hard wall potential with splitApr 17 2008We carry out a detailed examination of the ground state property of few-boson system in a one-dimensional hard wall potential with a $\delta -$ split in the center. In the Tonks-Girardeau limit with infinite repulsion between particles, we use the Bose-Fermi ... More

The Large Deviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic FieldsOct 07 2015Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. Steady-state fluctuation theorem of sample entropy production rate in terms of large deviation principle for diffusion ... More

Optimal Caching Placement for D2D Assisted Wireless Caching NetworksOct 27 2015Nov 03 2015In this paper, we devise the optimal caching placement to maximize the offloading probability for a two-tier wireless caching system, where the helpers and a part of users have caching ability. The offloading comes from the local caching, D2D sharing ... More

Application of Artificial Neural Networks in Predicting Abrasion Resistance of Solution Polymerized Styrene-Butadiene Rubber Based CompositesMay 21 2014Abrasion resistance of solution polymerized styrene-butadiene rubber (SSBR) based composites is a typical and crucial property in practical applications. Previous studies show that the abrasion resistance can be calculated by the multiple linear regression ... More

Precessionless spin transport wire confined in quasi-two-dimensional electron systemsAug 29 2004Apr 18 2006We demonstrate that in an inversion-asymmetric two-dimensional electron system 2DES with both Rashba and Dresselhaus spin-orbit couplings taken into account, certain transport directions on which no spin precession occurs can be found when the injected ... More

Robust tripartite-to-bipartite entanglement localization by weak measurements and reversalDec 03 2012We propose a robust and efficient approach for tripartite-to-bipartite entanglement localization. By using weak measurements and quantum measurement reversal, an almost maximal entangled state shared by two parties can be generated with the assistance ... More

Metrics Of Quantum StatesDec 16 2008Feb 01 2009In this paper, we study metrics of quantum states. These metrics are natural generalization of trace metric and Bures metric. We will prove that the metrics are joint convex and contractive under quantum operation. Our results can find important application ... More

Subjective Knowledge Acquisition and Enrichment Powered By CrowdsourcingMay 16 2017Knowledge bases (KBs) have attracted increasing attention due to its great success in various areas, such as Web and mobile search.Existing KBs are restricted to objective factual knowledge, such as city population or fruit shape, whereas,subjective knowledge, ... More

Topological and Geometric Universal Thermodynamics in Conformal Field TheoryJan 23 2018Jun 29 2018Universal thermal data in conformal field theory (CFT) offer a valuable means for characterizing and classifying criticality. With improved tensor network techniques, we investigate the universal thermodynamics on a nonorientable minimal surface, the ... More

Old neutron stars as probes of isospin-violating dark matterAug 13 2014Dec 29 2014Isospin-violating dark matter (IVDM), which couples differently with protons and neutrons, provides a promising mechanism to ameliorate the tension among recent direct detection experiments. Assuming DM is non-interacting bosonic asymmetric IVDM, we investigate ... More

High-precision Joint Time and Frequency Transfer over a Fiber-optic Telecom TestbedJul 20 2017It is highly desired to operate a joint time and frequency transfer over the exiting fiber-optic telecom networks with the commercial data transmission. Previously, we proposed a time transfer scheme based on bidirectional time division multiplexing transmission ... More

Experimental Demonstration of High-Precision Multi-access Time Transfer via Optical-Electrical-Optical Repeater StationsOct 24 2017In this paper, we propose a kind of optical-electrical-optical (OEO) repeater station for the time transfer based on bidirectional time division multiplexing transmission over a single fiber with the same wavelength (BTDM-SFSW). Along the main fiber link, ... More