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Plasmonic Demultiplexer and GuidingAug 20 2010Two-dimensional plasmonic demultiplexers for surface plasmon polaritons (SPPs), which consist of concentric grooves on a gold film, are proposed and experimentally demonstrated to realize light-SPP coupling, effective dispersion and multiple-channel SPP ... More

Enhancement of quantum correlations between two particles under decoherence in finite temperature environmentJun 20 2014Jun 24 2014Enhancing the quantum correlations in realistic quantum systems interacting with the environment of finite temperature is an important subject in quantum information processing. In this paper, we use weak measurement and measurement reversal to enhance ... More

Whole Brain Susceptibility Mapping Using Harmonic Incompatibility RemovalMay 31 2018Dec 28 2018Quantitative susceptibility mapping (QSM) aims to visualize the three dimensional susceptibility distribution by solving the field-to-source inverse problem using the phase data in magnetic resonance signal. However, the inverse problem is ill-posed since ... More

Sub-shot-noise-limited phase estimation via SU(1,1) interferometer with thermal statesNov 09 2017We theoretically study the phase sensitivity of an SU(1,1) interferometer with a thermal state and squeezed vacuum state as inputs and parity detection as measurement. We find that phase sensitivity can beat the shot-noise limit and approaches the Heisenberg ... More

Fundamental precision limit of a Mach-Zehnder interferometric sensor when one of the inputs is the vacuumMay 26 2017In the lore of quantum metrology, one often hears (or reads) the following no-go theorem: If you put vacuum into one input port of a balanced Mach-Zehnder Interferometer, then no matter what you put into the other input port, and no matter what your detection ... More

Conclusive Precision Bounds for SU(1,1) InterferometersOct 18 2018In this paper, we revisit the quantum Fisher information (QFI) calculation in SU(1,1) interferometer considering different phase configurations. When one of the input modes is a vacuum state, we show by using phase averaging, different phase configurations ... More

Optimized aperiodic broadband thermal emitters for use as light bulb filamentsMay 03 2016May 23 2016We present optimized aperiodic structures for use as broadband thermal incandescent emitters which are capable of increasing the emittance by nearly a factor of two over the visible wavelength range when compared to bulk tungsten. These aperiodic multilayer ... More

Enhanced signal-to-noise ratio in Hanbury Brown Twiss interferometry by parametric amplificationDec 07 2017The Hanbury Brown Twiss (HBT) interferometer was proposed to observe intensity correlations of starlight to measure a star's angular diameter. As the intensity of light that reaches the detector from a star is very weak, one cannot usually get a workable ... More

Optimal measurement scheme for Gravitational Wave Detection with Coherent and Squeezed VacuumMay 12 2016May 16 2016The search for gravitational waves is a significant undertaking; taking place at several locations around the world. Here we discuss the optimal measurement scheme for interferometric gravitational wave detectors and similar setups and find that a single ... More

Nearly Optimal Measurement Scheme in a Noisy Mach-Zehnder Interferometer with Coherent and Squeezed VacuumMay 12 2016Apr 07 2017The use of an interferometer to perform an ultra-precise parameter estimation under noisy conditions is a challenging task. Here we discuss nearly optimal measurement schemes for a well known,sensitive input state, squeezed vacuum and coherent light. ... More

Brownian motion between two random trajectoriesFeb 12 2018Sep 15 2018Consider the first exit time of one-dimensional Brownian motion $\{B_s\}_{s\geq 0}$ from a random passageway. We discuss a Brownian motion with two time-dependent random boundaries in quenched sense. Let $\{W_s\}_{s\geq 0}$ be an other one-dimensional ... More

Discussion of Twenty Questions ProblemJun 16 2009Discuss several tricks for solving twenty question problems which in this paper is depicted as a guessing game. Player tries to find a ball in twenty boxes by asking as few questions as possible, and these questions are answered by only "Yes" or "No". ... More

Creating maximally entangled atomic states in a Bose-Einstein condensateSep 15 2002Dec 12 2002We propose a protocol to create maximally entangled pairs, triplets, quartiles, and other clusters of Bose condensed atoms starting from a condensate in the Mott insulator state. The essential element is to drive single atom Raman transitions using laser ... More

Simplified and Equivalent Characterizations of Banach Limit Functional and Strong Almost ConvergenceJun 22 2009In this paper, we give simplified and equivalent characterizations of Banach limit functional, which is the minimum requirement to characterize strong almost convergence. With this machinery, we show that Hajdukovic's quasi-almost convergence is equivalent ... More

Global Attractor of a coupled Two-Cell Brusselator ModelJun 23 2009In this work the existence of a global attractor for the solution semiflow of the coupled two-cell Brusselator model equations is proved. A grouping estimation method and a new decomposition approach are introduced to deal with the challenge in proving ... More

Overview of recent azimuthal correlation measurements from ALICEOct 26 2016Azimuthal correlations are a powerful tool to probe the properties and the evolution of the collision system. In this proceedings, we will review the recent azimuthal correlation measurements from ALICE at the LHC. The comparison to other experimental ... More

Longtime Dynamics of The Oregonator SystemJun 28 2011In this work the existence and properties of a global attractor for the solution semiflow of the Oregonator system are proved. The Oregonator system is the mathematical model of the famous Belousov-Zhabotinskii reaction. A rescaling and grouping estimation ... More

Deflected propagation of a coronal mass ejection from the corona to interplanetary spaceJun 18 2014Among various factors affecting the space weather effects of a coronal mass ejection (CME), its propagation trajectory in the interplanetary space is an important one determining whether and when the CME will hit the Earth. Many direct observations have ... More

Sensor Fusion for Predictive Control of Human-Prosthesis-Environment Dynamics in Assistive Walking: A SurveyMar 18 2019This survey paper concerns Sensor Fusion for Predictive Control of Human-Prosthesis-Environment Dynamics in Assistive Walking. The powered lower limb prosthesis can imitate the human limb motion and help amputees to recover the walking ability, but it ... More

A categorification of a quantum Frobenius mapJul 07 2016A quantum Frobenius map a la Lusztig for $\mathfrak{sl}_2$ is categorified at a prime root of unity.

Motional effects of single trapped atomic/ionic qubitJan 31 2000We investigate theoretical decoherence effects of the motional degrees of freedom of a single trapped atomic/ionic electronically coded qubit. For single bit rotations from a resonant running wave laser field excitation, we found the achievable fidelity ... More

Collective Effects in Nuclear Collisions: Experimental OverviewOct 16 2018Jan 22 2019These conferences proceedings summarize the experimental findings of collective effects in nuclear collisions, as presented at the Quark Matter 2018 conference.

Measurements of correlations of anisotropic flow harmonics in Pb--Pb Collisions with ALICEDec 16 2015We report the first measurements of the correlation strength between various anisotropic flow harmonics, using ALICE data. This correlation strength is characterized with multi-particle cumulants of mixed harmonics, which by construction depend only on ... More

A categorification of a quantum Frobenius mapJul 07 2016Jul 24 2017A quantum Frobenius map a la Lusztig for $\mathfrak{sl}_2$ is categorified at a prime root of unity.

Satistical Study of the Interplanetary Coronal Mass Ejections from 1996 to 2014Apr 29 2015In this work, we establish an ICME list from 1996 to 2014 based on the in-situ observations from the WIND and ACE satellites. Based on this ICME list, we extend the statistical analysis of the ICMEs to the solar maximum phase of solar cycle 24th. The ... More

Multi-pretrained Deep Neural NetworkJun 02 2016Pretraining is widely used in deep neutral network and one of the most famous pretraining models is Deep Belief Network (DBN). The optimization formulas are different during the pretraining process for different pretraining models. In this paper, we pretrained ... More

Branching random walk in random environment with random absorption wallSep 13 2018We consider the branching random walk in random environment with a random absorption wall. When we add this barrier, we discuss some topics related to the survival probability. We assume that the random environment is i.i.d., $S_i$ is a particular i.i.d. ... More

Critical Height for the Destabilization of Solar Prominences: Statistical Results from STEREO ObservationsSep 17 2011At which height will a prominence inclined to be unstable, or where is the most probable critical height for the prominence destabilization? This question is statistically studied based on 362 solar limb prominences well-recognized by SLIPCAT from 2007 ... More

Constraining Higgs Properties in Associated ProductionSep 25 2013The Higgs boson H produced in association with a vector boson V=W, Z is the main production mechanism for searches at the Tevatron and forms an important part of Higgs analyses at the LHC. We show here that the V+H invariant mass distribution and the ... More

Small deviation for Random walk with random environment in timeMar 23 2018Sep 26 2018We give the random environment version of Mogul'ski\v{\i} estimation in quenched sense.Assume that $\{\mu\}_{n\in\bfN}$ (called environment) is a sequence of i.i.d. random probability measures on $\bfR.$~ Let $\{X_n\}_{n\in\bfN}$ be a sequence of independent ... More

Approximation and bounds for the Wallis ratioDec 06 2017In this paper, we present an improved continued fraction approximation of the Wallis ratio. This approximation is fast in comparison with the recently discovered asymptotic series. We also establish the double-side inequality related to this approximation. ... More

Heralded amplification of nonlocality via entanglement swapping for long-distance device-independent quantum key distributionApr 12 2019To realize the practical implementation of device-independent quantum key distribution~(DIQKD), the main difficulty is that its security relies on the detection-loophole-free violation of the Clauser-Horne-Shimony-Holt~(CHSH) inequality, i.e. the CHSH ... More

Multiparameter estimation with single photonsJun 17 2017It was suggested in Ref. [Phys. Rev. Lett. 114, 170802] that optical networks with relatively inexpensive overhead---single photon Fock states, passive optical elements, and single photon detection---can show significant improvements over classical strategies ... More

PI-REC: Progressive Image Reconstruction Network With Edge and Color DomainMar 25 2019We propose a universal image reconstruction method to represent detailed images purely from binary sparse edge and flat color domain. Inspired by the procedures of painting, our framework, based on generative adversarial network, consists of three phases: ... More

Injectable Spontaneous Generation of Tremendous Self-Fueled Liquid Metal Droplet Motors in a MomentApr 11 2015Micro motors that could run in liquid environment is very important for a variety of practices such as serving as pipeline robot, soft machine, drug delivery, or microfluidics system etc. However, fabrication of such tiny motors is generally rather time ... More

Load Optimization with User Association in Cooperative and Load-Coupled LTE NetworksFeb 23 2016We extend the problem of optimizing user association for load balancing in cellular networks along two dimensions. First, we consider joint transmission (JT), which is one of the coordinated multipoint (CoMP) techniques, with which a user may be simultaneously ... More

Accretion in active galactic nuclei and disk-jet couplingJul 21 2015Oct 15 2015We review the current state of understanding how accretion onto a black hole proceeds and what are they key elements needed to form relativistic jets. Since the theoretical progress is severely halted by the lack of deep understanding of the microphysics ... More

The center of the small quantum group II: singular blocksMar 07 2017Dec 01 2017We generalize to the case of singular blocks the result in \cite{BeLa} that describes the center of the principal block of a small quantum group in terms of sheaf cohomology over the Springer resolution. Then using the method developed in \cite{LQ1}, ... More

An adaptive memory method for accurate and efficient computation of the Caputo fractional derivativeNov 28 2017A fractional derivative is a temporally nonlocal operation which is computationally intensive due to inclusion of the accumulated contribution of function values at past times. In order to lessen the computational load while maintaining the accuracy of ... More

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

Theory of Jet Quenching in Ultra-Relativistic Nuclear CollisionsAug 03 2014We present a short overview of recent progress in the theory of jet quenching in ultra-relativistic nuclear collisions, including phenomenological studies of jet quenching at RHIC and the LHC, development in NLO perburbative QCD calculation of jet broadening ... More

Spitzer Observations of Planetary NebulaeSep 20 2011The Spitzer Space Telescope has three science instruments (IRAC, MIPS, and IRS) that can take images at 3.6, 4.5, 5.8, 8.0, 24, 70, and 160 microns, spectra over 5--38 microns, and spectral energy distribution over 52--100 microns. The Spitzer archive ... More

Infinite Volume of Noncommutative Black Hole Wrapped by Finite SurfaceDec 23 2016The volume of a black hole under noncommutative spacetime background is found to be infinite, in contradiction with the surface area of a black hole, or its Bekenstein-Hawking (BH) entropy, which is well-known to be finite. Our result rules out the possibility ... More

Joint CoMP-Cell Selection and Resource Allocation with Fronthaul-Constrained C-RANOct 14 2016Jun 21 2017Cloud-based Radio Access Network (C-RAN) is a promising architecture for future cellular networks, in which Baseband Units (BBUs) are placed at a centralized location, with capacity-constrained fronthaul connected to multiple distributed Remote Radio ... More

Model study on the photoassociation of a pair of trapped atoms into an ultralong-range moleculeSep 11 2003Using the method of quantum-defect theory, we calculate the ultralong-range molecular vibrational states near the dissociation threshold of a diatomic molecular potential which asymptotically varies as $-1/R^3$. The properties of these states are of considerable ... More

Spatially sequential turn-on of spontaneous emission from an atomic wave packetFeb 23 1998We discuss a simple example demonstrating that spontaneous emission from "space-time-superposed" atomic center-of-mass wave packets is nontrivially and time-dependent modified with respect to the standard dipole-pattern typical of "space-superposed" wave ... More

Low energy atomic collision with dipole interactionsMar 20 2001Mar 21 2001We apply quantum defect theory to study low energy ground state atomic collisions including aligned dipole interactions such as those induced by an electric field. Our results show that coupled even ($l$) relative orbital angular momentum partial wave ... More

Prospects for p-wave paired BCS states of fermionic atomsJun 16 1999We present theoretical prospects for creating p-wave paired BCS states of magnetic trapped fermionic atoms. Based on our earlier proposal of using dc electric fields to control both the strength and anisotropic characteristic of atom-atom interaction ... More

Fractal-based Correlation Analysis for Resting State Functional Connectivity of the Rat Brain in Functional MRIFeb 21 2012The most studies on functional connectivity have been done by analyzing the brain's hemodynamic response to a stimulation. On the other hand, the low-frequency spontaneous fluctuations in the blood oxygen level dependent (BOLD) signals of functional MRI ... More

Fractal-driven distortion of resting state functional networks in fMRI: a simulation studyAug 04 2012Fractals are self-similar and scale-invariant patterns found ubiquitously in nature. A lot of evidences implying fractal properties such as 1/f power spectrums have been also observed in resting state fMRI time series. To explain the fractal behavior ... More

A Proof on Asymptotics of Wavelet Variance of a Long Memory Process by Using Taylor ExpansionFeb 21 2012A long memory process has self-similarity or scale-invariant properties in low frequencies. We prove that the log of the scale-dependent wavelet variance for a long memory process is asymptotically proportional to scales by using the Taylor expansion ... More

The Weighted Sum Rate Maximization in MIMO Interference Networks: The Minimax Lagrangian Duality and AlgorithmSep 16 2013We take a new perspective on the weighted sum-rate maximization in multiple-input multiple-output (MIMO) interference networks, by formulating an equivalent max-min problem. This seemingly trivial reformulation has significant implications: the Lagrangian ... More

Sphere Bounding Scheme for Probabilistic Robust Constructive Interference Precoding in MISO Downlink TransmissionMar 12 2019In this letter, we propose a sphere bounding scheme for probabilistic robust constructive interference (CI) power minimizing precoding, to address the imperfect channel state information (CSI) caused by the channel error (CE), which satisfies the known ... More

The theta-exact Seiberg-Witten maps at the e3 orderJan 01 2015Jun 01 2015We study wo distinct theta-exact Seiberg-Witten (SW) map expansions, (I) and (II) respectively, up to the e3 order for the gauge parameter, gauge field and the gauge field strengths of the noncommutative U*(1) gauge theory on the Moyal space. We derive ... More

Two-Point Functions on Deformed SpacetimeFeb 25 2014Jul 29 2014We present a review of the one-loop photon ($\Pi$) and neutrino ($\Sigma$) two-point functions in a covariant and deformed $\rm U(1)$ gauge-theory on the 4-dimensional noncommutative spaces, determined by a constant antisymmetric tensor $\theta^{\mu\nu}$, ... More

Examples of Discontinuity of Lyapunov Exponent in Smooth Quasi-Periodic CocyclesFeb 02 2012Feb 21 2013We study the regularity of the Lyapunov exponent for quasi-periodic cocycles $(T_\omega, A)$ where $T_\omega$ is an irrational rotation $x\to x+ 2\pi\omega$ on $\SS^1$ and $A\in {\cal C}^l(\SS^1, SL(2,\mathbb{R}))$, $0\le l\le \infty$. For any fixed $l=0, ... More

3D Trajectory Optimization in Rician Fading for UAV-Enabled Data HarvestingJan 14 2019Apr 01 2019In this paper, we consider a UAV-enabled WSN where a flying UAV is employed to collect data from multiple sensor nodes (SNs). Our objective is to maximize the minimum average data collection rate from all SNs subject to a prescribed reliability constraint ... More

Uncertainty relation and quantitative condition of inversion symmetry of time in many-particle systemMay 28 2005We proved that the uncertainty relation fits in with many-particle system and the equality of the relation corresponds to the thermodynamic equilibrium state, the inequality of the relation corresponds to the thermodynamic non-equilibrium state for any ... More

Spin-projection orientations in the plane square-lattice Ising model with periodic boundary conditionsJun 24 2005Jun 29 2005The periodic boundary conditions changed the plane square-lattice Ising model to the torus-lattice system which restricts the spin-projection orientations. Only two of the three important spin-projection orientations, parallel to the x-axis or to the ... More

Solving Langevin equation with the bicolour rooted tree methodSep 05 2012Stochastic differential equations, especially the one called Langevin equation, play an important role in many fields of modern science. In this paper, we use the bicolour rooted tree method, which is based on the stochastic Taylor expansion, to get the ... More

A categorification of quantum sl(2) at prime roots of unityMar 17 2015Jul 01 2016We categorify the Beilinson-Lusztig-MacPherson integral form of quantum sl(2) specialized at a prime root of unity.

Exploiting Non-Causal CPU-State Information for Energy-Efficient Mobile Cooperative ComputingApr 15 2017Sep 04 2017Scavenging the idling computation resources at the enormous number of mobile devices can provide a powerful platform for local mobile cloud computing. The vision can be realized by peer-to-peer cooperative computing between edge devices, referred to as ... More

The center of the small quantum group II: singular blocksMar 07 2017Sep 12 2018We generalize to the case of singular blocks the result in \cite{BeLa} that describes the center of the principal block of a small quantum group in terms of sheaf cohomology over the Springer resolution. Then using the method developed in \cite{LQ1}, ... More

Global Dissipative Dynamics of the Extended Brusselator SystemFeb 19 2011The existence of a global attractor for the solution semiflow of the extended Brusselator system in the $L^2$ phase space is proved, which is a cubic-autocatalytic and partially reversible reaction-diffusion system with linear coupling between two compartments. ... More

Electrically controlled persistent spin currents at the interface of multiferroic oxidesJul 17 2009We predict the appearance of a persistent spin current in a two-dimensional electron gas formed at the interface of multiferroic oxides with a transverse helical magnetic order. No charge current is generated. This is the result of an effective spin-orbit ... More

Square wave oscillation of soliton in double-well potential trapped BECMar 01 2019We numerically investigate the soliton tunnelling process in double-well potential trapped Bose-Einstein condensate. Comparing with the usual low energy few particle tunnelling process, we find that the soliton tunnelling leads to massive particle transport ... More

Asynchronous Decentralized Optimization in Directed NetworksJan 24 2019A popular asynchronous protocol for decentralized optimization is randomized gossip where a pair of neighbors concurrently update via pairwise averaging. In practice, this creates deadlocks and is vulnerable to information delays. It can also be problematic ... More

Updated Global Analysis of Higgs CouplingsMar 15 2013There are many indirect and direct experimental indications that the new particle H discovered by the ATLAS and CMS Collaborations has spin zero and (mostly) positive parity, and that its couplings to other particles are correlated with their masses. ... More

Global Analysis of the Higgs Candidate with Mass ~ 125 GeVJul 06 2012Aug 17 2012We analyze the properties of the Higgs candidate with mass ~ 125 GeV discovered by the CMS and ATLAS Collaborations, constraining the possible deviations of its couplings from those of a Standard Model Higgs boson. The CMS, ATLAS and Tevatron data are ... More

3D Trajectory Optimization in Rician Fading for UAV-Enabled Data HarvestingJan 14 2019In this paper, we consider a UAV-enabled WSN where a flying UAV is employed to collect data from multiple sensor nodes (SNs). Our objective is to maximize the minimum average data collection rate from all SNs subject to a prescribed reliability constraint ... More

GaN / VO2 heteroepitaxial p-n junctions: Band offset and minority carrier dynamicsJun 04 2013We report on experimental realization of p-n heterojunctions based on p-type GaN, and an n-type correlated oxide, VO2. The band offsets are evaluated by current-voltage and capacitance voltage measurements at various temperatures. A band diagram based ... More

Jet modification in hot and dense QCD matterSep 05 2012Oct 24 2012High energy quarks and gluons play essential roles in the tomographic study of relativistic heavy-ion collisions and of the quark-gluon plasma. They interact with the traversed dense matter through elastic and inelastic collisions, and lose some of their ... More

User-centric Performance Optimization with Remote Radio Head Cooperation in C-RANAug 17 2017Aug 18 2017In a cloud radio access network (C-RAN), distributed remote radio heads (RRHs) are coordinated by baseband units (BBUs) in the cloud. The centralization of signal processing provides flexibility for coordinated multi-point transmission (CoMP) of RRHs ... More

An effective quasi-one-dimensional description of a spin-1 atomic condensateDec 12 2004Feb 05 2005Within the mean field theory we extend the effective quasi-1D non-polynomial Schr\"{o}dinger equation (NPSE) approach to the description of a spin-1 atomic condensate in a tight radial confinement geometry for both weak and strong atom-atom interactions. ... More

Quantum Correlations in Two-Boson WavefunctionsJun 20 2001We present the Schmidt decomposition for arbitrary wavefunctions of two indistinguishable bosons, extending the recent studies of entanglement or quantum correlations for two fermion systems [J. Schliemann et al., Phys. Rev. B {\bf 63}, 085311 (2001) ... More

Large-Scale Geospatial Processing on Multi-Core and Many-Core Processors: Evaluations on CPUs, GPUs and MICsMar 04 2014Geospatial Processing, such as queries based on point-to-polyline shortest distance and point-in-polygon test, are fundamental to many scientific and engineering applications, including post-processing large-scale environmental and climate model outputs ... More

KAM Tori for 1D Nonlinear Wave Equations with Periodic Boundary ConditionsApr 20 1999In this paper, one-dimensional (1D) nonlinear wave equations $u_{tt} -u_{xx}+V(x)u =f(u)$, with periodic boundary conditions are considered; V is a periodic smooth or analytic function and the nonlinearity f is an analytic function vanishing together ... More

Multiuser Resource Allocation for Mobile-Edge Computation OffloadingApr 09 2016Mobile-edge computation offloading (MECO) offloads intensive mobile computation to clouds located at the edges of cellular networks. Thereby, MECO is envisioned as a promising technique for prolonging the battery lives and enhancing the computation capacities ... More

The degrees, number of edges, spectral radius and weakly Hamilton-connectedness of bipartite graphsSep 14 2018A path of a graph $G$ is called a Hamilton path if it passes through all the vertices of $G$. A graph is Hamilton-connected if any two vertices are connected by a Hamilton path. Note that any bipartite graph is not Hamilton-connected. We consider the ... More

An approach to categorification of some small quantum groupsAug 02 2012Jun 17 2013We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this construction to an arbitrary simply-laced case is proposed.

Terra: Scalable Cross-Layer GDA OptimizationsApr 17 2019Geo-distributed analytics (GDA) frameworks transfer large datasets over the wide-area network (WAN). Yet existing frameworks often ignore the WAN topology. This disconnect between WAN-bound applications and the WAN itself results in missed opportunities ... More

Exponential Maps and Symmetric Transformations in Cluster-Spin System for Lattice-Ising ModelsSep 10 2007Dec 17 2009We defined exponential maps with one parameter, associated with geodesics on the parameter surface. By group theory we proposed a formula of the critical points, which is a direct sum of the Lie subalgebras at the critical temperature. We consider the ... More

Duality of momentum-energy and space-time on an almost complex manifoldApr 26 2007We proved that under quantum mechanics a momentum-energy and a space-time are dual vector spaces on an almost complex manifold in position representation, and the minimal uncertainty relations are equivalent to the inner-product relations of their bases. ... More

Microscopic origin of the second law of thermodynamicsMay 29 2005We proved when random-variable fluctuations obey the central limit theorem the equality of the uncertainty relation corresponds to the thermodynamic equilibrium state. The inequality corresponds to the thermodynamic non-equilibrium state. The uncertainty ... More

On the similarity of TensorsSep 20 2013Oct 31 2013Let $\mathbb{P}_n$ be the set of all matrices which have the same zero patterns with some permutation matrix of order $n$. In this paper, we prove the following result: Let $\mathbb{I}$ be the unit tensor of order $m\ge3$ and dimension $n\ge2$. Suppose ... More

Inequalities for Euler-Mascheroni constantJul 15 2014The aim of this paper is to establish new inequalities for the Euler-Mascheroni by the continued fraction method.

Anisotropic thermoelectric effect in helimagnetic tunnel junctionsMay 16 2011Thermoelectric transport across normal-metal/helical-multiferroic/ferromagnetic heterojunctions is theoretically investigated. We find a anisotropic charge and spin thermopower with a $C_{2v}$ symmetry. The angular dependence on the magnetization orientation ... More

Thermoelectric effect of multiferroic oxide interfacesDec 22 2010We investigate the thermoelectric properties of electrons at the interface of oxide heterostructure and in the presence of a multiferroic oxide with spiral spin order. We find there is no (spin) Hall current generated by the temperature gradient. A Seebeck ... More

Multiferroic oxides-based flash-memory and spin-field-effect transistorJun 23 2009We propose a modified spin-field-effect transistor fabricated in a two dimensional electron gas (2DEG) formed at the surface of multiferroic oxides with a transverse helical magnetic order. The topology of the oxide local magnetic moments induces a resonant ... More

Strength of Coronal Mass Ejection-Driven Shocks Near the Sun, and Its Importance in Predicting Solar Energetic Particle EventsAug 21 2008Coronal shocks are important structures, but there are no direct observations of them in solar and space physics. The strength of shocks plays a key role in shock-related phenomena, such as radio bursts and solar energetic particle (SEP) generation. This ... More

The volume operator in covariant quantum gravityNov 03 2009Apr 22 2010A covariant spin-foam formulation of quantum gravity has been recently developed, characterized by a kinematics which appears to match well the one of canonical loop quantum gravity. In particular, the geometrical observable giving the area of a surface ... More

Categorification at prime roots of unity and hopfological finitenessSep 01 2015We survey some recent results in hopfological algebra and the program of categorification at prime roots of unity. A categorical Jones-Wenzl projector at prime roots of unity is studied, and it is shown that this projector is hopfologically finite in ... More

Global and exponential attractors of the three dimensional viscous primitive equations of large-scale moist atmosphereOct 24 2016This paper is concerned with the long-time behavior of solutions for the three dimensional viscous primitive equations of large-scale moist atmosphere. We prove the existence of a global attractor for the three dimensional viscous primitive equations ... More

Correlated Electron Materials and Field Effect Transistors for Logic: A ReviewDec 12 2012Correlated electron systems are among the centerpieces of modern condensed matter sciences, where many interesting physical phenomena, such as metal-insulator transition and high-Tc superconductivity appear. Recent efforts have been focused on electrostatic ... More

Jet shower evolution in medium and dijet asymmetry in Pb+Pb collisions at the LHCJul 04 2011We study the evolution of a partonic jet shower propagating through a quark-gluon plasma. Combining the in-medium evolutions of the leading parton and shower gluons, we compute the depletion of the energy from the jet cone by dissipation through elastic ... More

Load Optimization with User Association in Cooperative and Load-Coupled LTE NetworksFeb 23 2016Jun 23 2017We extend the problem of optimizing user association for load balancing in cellular networks along two dimensions. First, we consider joint transmission (JT), which is one of the coordinated multipoint (CoMP) techniques, with which a user may be simultaneously ... More

Some remarks on P, P_0, B and B_0 tensorsMay 06 2014May 16 2014Recently, Song and Qi extended the concept of P, P_0 and B matrices to P, P_0, B and B_0 tensors, obtained some properties about these tensors, and proposed many questions for further research. In this paper, we answer three questions mentioned as above ... More

On a conjecture for the signless Laplacian eigenvaluesJun 01 2013Let $G$ be a simple graph with $n$ vertices and $e(G)$ edges, and $q_1(G)\geq q_2(G)\geq\cdots\geq q_n(G)\geq0$ be the signless Laplacian eigenvalues of $G.$ Let $S_k^+(G)=\sum_{i=1}^{k}q_i(G),$ where $k=1, 2, \ldots, n.$ F. Ashraf et al. conjectured ... More

Data-Driven Stochastic Robust Optimization: A General Computational Framework and Algorithm for Optimization under Uncertainty in the Big Data EraJul 28 2017Dec 29 2017A novel data-driven stochastic robust optimization (DDSRO) framework is proposed for optimization under uncertainty leveraging labeled multi-class uncertainty data. Uncertainty data in large datasets are often collected from various conditions, which ... More

Early Fire Detection Using HEP and Space-time AnalysisOct 07 2013In this article, a video base early fire alarm system is developed by monitoring the smoke in the scene. There are two major contributions in this work. First, to find the best texture feature for smoke detection, a general framework, named Histograms ... More