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Size-Dependence of the photothermal response of a single metal nanosphereJul 02 2019We study the thermal response of a single spherical metal nanoparticle to continuous wave illumination as a function of its size. We show that the particle temperature increases non-monotonically as the particle size increases, indicating that the photo-thermal ... More

Thermal effects - an alternative mechanism for plasmonic-assisted photo-catalysisFeb 08 2019Recent experiments claimed that the enhancement of catalytic reaction rates occurs via the reduction of activation barriers driven by non-equilibrium ("hot") electrons in plasmonic metal nano-particles. These experiments place plasmonic photo-catalysis ... More

Predicting Earth's Carrying Capability of Human Population as the Predator and the Natural Resources as the Prey in the Modified Lokta-Volterra Equations with Time-dependent ParametersApr 10 2019We modified the Lotka-Volterra Equations with the assumption that two of the original four constant parameters in the traditional equations are time dependent. In the first place, we assumed that the human population (borrowed from the T-Function) plays ... More

Event-Based Features Selection and Tracking from Intertwined Estimation of Velocity and Generative ContoursNov 19 2018This paper presents a new event-based method for detecting and tracking features from the output of an event-based camera. Unlike many tracking algorithms from the computer vision community, this process does not aim for particular predefined shapes such ... More

Detailed microscopic calculation of stellar electron and positron capture rates on $^{24}$Mg for O+Ne+Mg core simulationsAug 15 2014Few white dwarfs, located in binary systems, may acquire sufficiently high mass accretion rates resulting in the burning of carbon and oxygen under nondegenerate conditions forming a O+Ne+Mg core. These O+Ne+Mg cores are gravitationally less bound than ... More

Chern-Simons classes of flat connections on supermanifoldsJul 16 2007In this note we define Chern-Simons classes of a superconnection $D+L$ on a complex supervector bundle $E$ such that $D$ is flat and preserves the grading, and $L$ is an odd endomorphism of $E$ on a supermanifold. As an application we obtain a definition ... More

GLAST Dark Matter SearchSep 06 2002The GLAST Large Area Telescope, scheduled for launch in 2006, is a next generation space based gamma ray telescope which will improve in point source sensitivity by a factor of 30 over that of EGRET below 10 GeV, and extend beyond EGRET up to 300 GeV. ... More

Wick calculus for noncommutative white noise corresponding to $q$-deformed commutation relationsJul 31 2016We derive the Wick calculus for test and generalized functionals of noncommutative white noise corresponding to $q$-deformed commutation relations with $q\in(-1,1)$. We construct a Gel'fand triple centered at the $q$-deformed Fock space in which both ... More

Update to the Bodek-Yang Unified Model for Electron- and Neutrino- Nucleon Scattering Cross SectionsDec 01 2010We construct a model for inelastic neutrino- and electron-nucleon scattering cross sections using effective leading order parton distribution functions with a new scaling variable $\xi_w$. Non-perturbative effects are well described using the $\xi_w$ ... More

Axial and Vector Structure Functions for Electron- and Neutrino- Nucleon Scattering Cross Sections at all $Q^2$ using Effective Leading order Parton Distribution FunctionsNov 30 2010Aug 19 2013We construct a model for inelastic neutrino- and electron-nucleon scattering cross sections using effective leading order parton distribution functions with a new scaling variable $\xi_w$. Non-perturbative effects are well described using the $\xi_w$ ... More

A Unified Model for inelastic e-N and nu-N cross sections at all Q2Jul 31 2005We present results using a new scaling variable, xi_w in modeling electron- and neutrino-nucleon scattering cross sections with effective leading order PDFs.Our model uses all inelastic charged lepton F_2 data (SLAC/BCDMS/NMC/HERA), and photoproduction ... More

$β$-decay half-lives and nuclear structure of exotic proton-rich waiting point nuclei under $rp$-process conditionsFeb 23 2016We investigate even-even nuclei in the $A\sim70$ mass region within the framework of the proton-neutron quasi-particle random phase approximation (\mbox{pn-QRPA}) and the interacting boson model-1 (\mbox{IBM-1}). Our work includes calculation of the energy ... More

Muon Anomalous Magnetic Moment in SUSY B-L Model with Inverse SeesawSep 17 2015Motivated by the tension between the Higgs mass and muon g-2 in minimal supersymmetric standard model (MSSM), we analyze the muon g-2 in supersymmertic B-L extension of the standard model (BLSSM) with inverse seesaw mechanism. In this model, the Higgs ... More

Geometric Decomposition-Based Formulation for Time Derivatives of Instantaneous Impact PointOct 28 2017A new analytic formulation to express the time derivatives of the instantaneous impact point (IIP) of a rocket is proposed. The geometric relationship on a plane tangential to the IIP is utilized to decompose the inertial IIP rate vector into the downrange ... More

Data Science at Udemy: Agile Experimentation with AlgorithmsFeb 13 2016In this paper, we describe the data science framework at Udemy, which currently supports the recommender and search system. We explain the motivations behind the framework and review the approach, which allows multiple individual data scientists to all ... More

Fine-Grid Calculations for Stellar Electron and Positron Capture Rates on Fe-IsotopesAug 23 2011The acquisition of precise and reliable nuclear data is a prerequisite to success for stellar evolution and nucleosynthesis studies. Core-collapse simulators find it challenging to generate an explosion from the collapse of the core of massive stars. ... More

Gamow-Teller strength distributions and neutrino energy loss rates due to chromium isotopes in stellar matterFeb 20 2016Gamow-Teller transitions in isotopes of chromium play a consequential role in the presupernova evolution of massive stars. $\beta$-decay and electron capture rates on chromium isotopes significantly affect the time rate of change of lepton fraction ($\dot{Y_{e}}$). ... More

A Three-Dimensional Voting System in Hong KongJan 20 2014The voting system in the Legislative Council of Hong Kong (Legco) is sometimes unicameral and sometimes bicameral, depending on whether the bill is proposed by the Hong Kong government. Therefore, although without any representative within Legco, the ... More

Large BR(h -> tau mu) in Supersymmetric ModelsMay 24 2016We analyze the Lepton Flavor Violating (LFV) Higgs decay h -> tau mu in three supersymmetric models: Minimal Supersymmetric Standard Model (MSSM), Supersymmetric Seesaw Model (SSM), and Supersymmetric B-L model with Inverse Seesaw (BLSSM-IS). We show ... More

Light Stops and Fine-Tuning in MSSMNov 16 2016Jul 31 2017We discuss the fine-tuning issue within the MSSM framework. Following the idea that the fine-tuning can measure effects of some missing mechanism, we impose non-universal gaugino masses at the GUT scalem and explore the low scale implications. We realize ... More

The $β$-function of $SU(3)$ gauge theory with $ N_f = 10 $ massless fermions in the fundamental representationMar 29 2016We present the first study of the discrete $\beta$-function of the $ SU(3) $ gauge theory with 10 massless domain-wall fermions in the fundamental representation. The renormalized coupling is obtained by the finite-volume gradient flow scheme, and the ... More

Impact of a Multi-TeraFlop Machine to Gravitational PhysicsApr 19 1999A multi-TeraFlop/TeraByte machine will enable the application of the Einstein theory of gravity to realistic astrophysical processes. Without the computational power, the complexity of the Einstein theory restricts most studies based on it to the quasi ... More

Production asymmetries of $D^{\pm}$, $Λ_c^{+}/Λ_c^{-}$ and $Λ_b^0/\overlineΛ_b^0$ at the LHC from heavy quark recombination mechanismAug 20 2015The asymmetry in the forward region production cross section of $D^{\pm}$ is calculated using the heavy quark recombination mechanism for $pp$ collisions at $7$~TeV. By suitable choices of four nonperturbative parameters, our calculated results can reproduce ... More

Discrete approximations to local times for reflected diffusionsOct 14 2014Mar 26 2016We propose a discrete analogue for the boundary local time of reflected diffusions in bounded Lipschitz domains. This discrete analogue, called the discrete local time, can be effectively simulated in practice and is obtained pathwise from random walks ... More

A space-time characterization of the Kerr-Newman metricJul 11 2008Jan 30 2009In the present paper, the characterization of the Kerr metric found by Marc Mars is extended to the Kerr-Newman family. A simultaneous alignment of the Maxwell field, the Ernst two-form of the pseudo-stationary Killing vector field, and the Weyl curvature ... More

Polarization of Charmonium in πN CollisionsOct 06 1994Measurements of the polarization of $\jp$ produced in pion-nucleus collisions are in disagreement with leading twist QCD prediction where $\jp$ is observed to have negligible polarization whereas theory predicts substantial polarization. We argue that ... More

Applications of differential algebra to algebraic independence of arithmetic functionsApr 10 2015Jan 16 2017We generalize and unify the proofs of several results on algebraic in- dependence of arithmetic functions and Dirichlet series by a theorem of Ax on differential Schanuel conjecture. Along the way, we find counter-examples to some results in the literature. ... More

A Bayes method for a Bathtub Failure Rate via two $\mathbf{S}$-pathsJul 16 2007A class of semi-parametric hazard/failure rates with a bathtub shape is of interest. It does not only provide a great deal of flexibility over existing parametric methods in the modeling aspect but also results in a closed and tractable Bayes estimator ... More

On the boundary of weighted numerical rangesMar 14 2014Jun 14 2015In this article, we are going to introduce the weighted numerical range which is a further generalization both the c-numerical range and the rank k numerical range. If the boundaries of weighted numerical ranges of two matrices (possibly of different ... More

Applications of differential algebra to algebraic independence of arithmetic functionsApr 10 2015Sep 02 2015We generalize and unify the proofs of several results on algebraic in- dependence of arithmetic functions and Dirichlet series by a theorem of Ax on differential Schanuel conjecture. Along the way, we find counter-examples to some results in the literature. ... More

Tight Algorithms for Vertex Cover with Hard Capacities on Multigraphs and HypergraphsJun 25 2016In this paper we give a f-approximation algorithm for the minimum unweighted Vertex Cover problem with Hard Capacity constraints (VCHC) on f-hypergraphs. This problem generalizes standard vertex cover for which the best known approximation ratio is also ... More

Matter enhanced nu_mu->nu_e signals using various Fermilab main injector beam configurationsJan 10 2001Jan 29 2001We calculate the sensitivity to nu_mu->nu_e appearance oscillations in various Fermilab main injector neutrino beam configurations using simulations of a MINOS-like detector and an OPERA-like detector. We make the assumption of 3 neutrino generations, ... More

Observation of High Energy Quark-Antiquark Elastic Scattering with Mesonic ExchangeMay 21 1993We studied the high energy quark anti-quark elastic scattering with an exchange of a mesonic state in the $t$ channel with $-t/\Lambda_{QCD}^{2} \gg 1$. Two methods are proposed to eliminate the strong background from bare pomeron, reggized gluon and ... More

Minimal surfaces from infinitesimal deformations of circle packingsDec 22 2017Jun 20 2018We study circle packings with the combinatorics of a triangulated disk in the plane. We parametrize the infinitesimal deformations in terms of vertex rotation and cross ratios. We show that there is a one-to-one correspondence between infinitesimal deformations ... More

Singularities of axially symmetric time-like minimal submanifolds in Minkowski spaceJul 22 2016We prove that there does not exist global-in-time axisymmetric solutions to the time-like minimal submanifold system in Minkowski space. We further analyze the limiting geometry as the maximal time of existence is approached.

Stability and instability of expanding solutions to the Lorentzian constant-positive-mean-curvature flowApr 01 2014Oct 13 2014We study constant mean curvature Lorentzian hypersurfaces of $\mathbb{R}^{1,d+1}$ from the point of view of its Cauchy problem. We completely classify the spherically symmetric solutions, which include among them a manifold isometric to the de Sitter ... More

Improved low Q2 model for neutrino and electron nucleon cross sections in few GeV regionNov 16 2004We present an improved model on neutrino- and electron-nucleon scattering cross sections using effective leading order PDFs with a new scaling variable xi_w. Non-perturbative QCD effects at low Q^2 are separately treated for u and d valence quarks, and ... More

Stop on Top: SUSY Parameter Regions, Fine-Tuning ConstraintsJul 06 2014Nov 18 2014We analyze minimal supersymmetric models in order to determine in what parameter regions with what amount of fine-tuning they are capable of accomodating the LHC-allowed top-stop degeneracy window. The stops must be light enough to enable Higgs naturalness ... More

The game chromatic index of trees of maximum degree 4 with at most three degree-four vertices in a rowApr 02 2019Fong et al. (The game chromatic index of some trees with maximum degree four and adjacent degree-four vertices, J. Comb Optim 36 (2018) 1-12) proved that the game chromatic index of any tree $T$ of maximum degree 4 whose degree-four vertices induce a ... More

First-forbidden $\mathbfβ$-decay rates, energy rates of $β$-delayed neutrons and probability of $β$-delayed neutron emissions for neutron-rich nickel isotopesFeb 20 2016First-forbidden (FF) transitions can play an important role in decreasing the calculated half-lives specially in environments where allowed Gamow-Teller (GT) transitions are unfavored. Of special mention is the case of neutron-rich nuclei where, due to ... More

Markov Lemma for Countable AlphabetsJun 02 2010Strong typicality and the Markov lemma have been used in the proofs of several multiterminal source coding theorems. Since these two tools can be applied to finite alphabets only, the results proved by them are subject to the same limitation. Recently, ... More

Using New Data to Refine a Bayesian NetworkFeb 27 2013We explore the issue of refining an existent Bayesian network structure using new data which might mention only a subset of the variables. Most previous works have only considered the refinement of the network's conditional probability parameters, and ... More

Coding Bounds for Multiple Phased-Burst Correction and Single Burst Correction CodesApr 07 2011Jun 23 2011In this paper, two upper bounds on the achievable code rate of linear block codes for multiple phased-burst correction (MPBC) are presented. One bound is constrained to a maximum correctable cyclic burst length within every subblock, or equivalently a ... More

Two Characterizations of the Maximal Tensor Product of Operator SystemsMar 24 2015In this paper we provide two characterizations of the maximal tensor product structure for the category of operator systems. The first one is via the schur tensor product; the second one employs the idea of the completely positive approximation property ... More

Homological flips and homological flopsJul 14 2019We introduce a notion of homological flips and homological flops. The former includes the class of all flips between Gorenstein normal varieties; while the latter includes the class of all flops between Cohen-Macaulay normal varieties whose contracted ... More

A commuting-vector-field approach to some dispersive estimatesJan 05 2017Aug 02 2017We prove the pointwise decay of solutions to three linear equations: (i) the transport equation in phase space generalizing the classical Vlasov equation, (ii) the linear Schrodinger equation, (iii) the Airy (linear KdV) equation. The usual proofs use ... More

Regular hyperbolicity, dominant energy condition and causality for Lagrangian theory of mapsNov 12 2010May 16 2011The goal of the present paper is three-fold. First is to clarify the connection between the dominant energy condition and hyperbolicity properties of Lagrangian field theories. Second is to provide further analysis on the breakdown of hyperbolicity for ... More

Noether Theorem and the quantum mechanical operatorsJan 30 2000We show that the quantum mechanical momentum and angular momentum operators are fixed by the Noether theorem for the classical Hamiltonian field theory we proposed.

The Schrodinger Equation From a Quadratic Hamiltonian SystemNov 02 1999We regard the real and imaginary parts of the Schrodinger wave function as canonical conjugate variables.With this pair of conjugate variables and some other 2n pairs, we construct a quadratic Hamiltonian density. We then show that the Schrodinger Equation ... More

Improved study of the $β$-function of $SU(3)$ gauge theory with $N_f = 10 $ massless domain-wall fermionsNov 05 2018Jan 20 2019I perform an improved study of the $\beta$-function of $ SU(3) $ lattice gauge theory with $N_f=10$ massless optimal domain-wall fermions in the fundamental representation, which serves as a check to what extent the scenario in the previous work [arXiv:1603.08854; ... More

Matrix-ordered Duals of Operator Systems and Projective LimitsMar 05 2018We construct projective limit of projective sequence in the following categories: Archimedean order unit spaces with unital positive maps and operator systems with unital completely positive maps. We prove that inductive limit and projective limit in ... More

A Numerical Study of Boson StarsOct 08 2004Oct 11 2004We present a numerical study of general relativistic boson stars in both spherical symmetry and axisymmetry. We consider both time-independent problems, involving the solution of equilibrium equations for rotating boson stars, and time-dependent problems, ... More

EFT determination of the heavy-hybrid spin potentialDec 03 2018We study the spin splitting in the heavy quarkonium hybrid spectrum within the framework of an nonrelativistic effective field theory. We derive for the first time the spin-dependent part of the heavy-quark-antiquark potential for heavy quarkonium hybrids ... More

Tight Algorithms for Vertex Cover with Hard Capacities on Multigraphs and HypergraphsJun 25 2016Jan 22 2017In this paper we give a f-approximation algorithm for the minimum unweighted Vertex Cover problem with Hard Capacity constraints (VCHC) on f-hypergraphs. This problem generalizes standard vertex cover for which the best known approximation ratio is also ... More

Small data global existence and decay for two dimensional wave mapsDec 20 2017We prove the global existence and almost-sharp decay for the wave-map equation on $\mathbb{R}^{1,2}$, when the initial data has compact spatial support, using a variant of the vector field method. The main innovation lies in controlling the dispersive ... More

Classical and Signed Kazhdan-Lusztig Polynomials: Character Multiplicity Inversion by InductionJul 14 2012The famous Kazhdan-Lusztig Conjecture of the 1970s states that the multiplicity of an irreducible composition factor of a Verma module can be computed by evaluating Kazhdan-Lusztig polynomials at 1. Thus the character of a Verma module is a linear combination ... More

Global Existence for the Minimal Surface Equation on $\mathbb{R}^{1,1}$Jan 06 2016In a 2004 paper, Lindblad demonstrated that the minimal surface equation on $\mathbb{R}l^{1,1}$ describing graphical time-like minimal surfaces embedded in $\mathbb{R}^{1,2}$ enjoy small data global existence for compactly supported initial data, using ... More

Sums of Consecutive IntegersJan 04 2007A decomposition of a natural number n is a sequence of consecutive natural numbers that sums to n. We construct a one-to-one correspondence between the odd factors of a natural number and its decompositions. We study the decompositions by their lengths ... More

When Conventional machine learning meets neuromorphic engineering: Deep Temporal Networks (DTNets) a machine learning frawmework allowing to operate on Events and Frames and implantable on Tensor Flow Like HardwareNov 19 2018We introduce in this paper the principle of Deep Temporal Networks that allow to add time to convolutional networks by allowing deep integration principles not only using spatial information but also increasingly large temporal window. The concept can ... More

Using Causal Information and Local Measures to Learn Bayesian NetworksMar 06 2013In previous work we developed a method of learning Bayesian Network models from raw data. This method relies on the well known minimal description length (MDL) principle. The MDL principle is particularly well suited to this task as it allows us to tradeoff, ... More

STM Single Atom/Molecule Manipulation and Its Application to Nanoscience and TechnologyJun 02 2005Single atom/molecule manipulation with a scanning-tunneling-microscope (STM) tip is an innovative experimental technique of nanoscience. Using STM-tip as an engineering or analytical tool, artificial atomic-scale structures can be fabricated, novel quantum ... More

Self-Consistence of Semi-Classical GravityOct 28 1992Simon argued that the semi-classical theory of gravity, unless with some of its solutions excluded, is unacceptable for reasons of both self-consistency and experiment, and that it has to be replaced by a constrained semi-classical theory. We examined ... More

Simulation of dynamical (u,d,s,c) domain-wall/overlap quarks at the physical pointNov 20 2018We perform hybrid Monte-Carlo simulation of $N_f=2+1+1 $ lattice QCD with domain-wall quarks at the physical point. The simulation is carried out on the $ L^3 \times T = 64^3 \times 64 $ lattice with lattice spacing $a \sim 0.064 $ fm ($ L > 4 $ fm, and ... More

The Model Orbit in $G_2$Mar 03 2019In this article, we decompose the ring of regular functions on the nilpotent orbit of dimension 8 for the complex $G_2$ in which every irreducible representation of $G_2$ appears exactly once. This confirms the predication of McGovern and we have shown ... More

Pre-Calabi-Yau structures and moduli of representationsFeb 15 2018Mar 05 2019We give a new characterization of pre-Calabi-Yau structures in the sense of [KV13] and establish some relations with other concepts. We start by developing some noncommutative calculus for DG categories. In particular we give a new construction of periodic ... More

A positive mass theorem for two spatial dimensionsFeb 28 2012Mar 01 2012We observe that an analogue of the Positive Mass Theorem in the time-symmetric case for three-space-time-dimensional general relativity follows trivially from the Gauss-Bonnet theorem. In this case we also have that the spatial slice is diffeomorphic ... More

A comment on the construction of the maximal globally hyperbolic Cauchy developmentOct 04 2013Nov 20 2013Under mild assumptions, we remove all traces of the axiom of choice from the construction of the maximal globally hyperbolic Cauchy development in general relativity. The construction relies on the notion of direct union manifolds, which we review. The ... More

Stochastic PDEs on graphs as scaling limits of discrete interacting systemsAug 05 2017Aug 08 2017Stochastic partial differential equations (SPDE) on graphs were recently introduced by Cerrai and Freidlin [Ann. Inst. Henri Poincar\'e Probab. Stat. 53 (2017) 865-899]. This class of stochastic equations in infinite dimensions provides a minimal framework ... More

New pairs of matrices with convex generalized numerical rangesDec 15 2016In this article, we are going to search for $n\times n$ matrices $A$ and $B$ such that their generalized numerical range $$W_A(B)=\{tr(AU^*BU) \ :\ U^*U=UU^*=I\}$$ is convex. More specifically, we consider $A=\hat{A}\oplus I_k$ and $B=\hat{B}\oplus I_k$ ... More

Length Spectra of Natural NumbersJan 08 2007Two numbers are spectral equivalent if they have the same length spectrum. We show how to compute the equivalence classes of this relation. Moreover, we show that these classes can only have either 1,2 or infinitely many elements.

Reexamination of the $β^+$ decay process of $^{13}\rm{N}$ nucleusFeb 28 2019May 04 2019It is known from the scattering theory that the phase-shift of elastic collision does not provide a unique potential to describe the bound state of the two-particle system. The bound state wave function is the most crucial input for various nuclear processes ... More

An upper bound on the dimension of the voting system of the European Union Council under the Lisbon rulesJul 23 2019The voting rules of the European Council (EU) under the Treaty of Lisbon became effective on 1 November 2014. Kurz \& Napel (2015) showed that the dimension of this voting system is between $7$ and $13,368$. The lower bound $7$ actually sets a new world ... More

Convergences of Alternating Projections in CAT($κ$) SpacesNov 05 2016We establish the asymptotic regularity and the $\Delta$-convergence of the sequence constructed by the alternating projections to closed convex sets in a CAT($\kappa$) space with $\kappa > 0$. Furthermore, the strong convergence of the alternating von ... More

Spontaneously Broken Erlangen Program Offers a Bridge Between the Einstein and the Yang-Mills TheoriesMay 11 2012Nov 26 2012We shall give dynamics to our spacetime manifold by first identifying the local affine symmetry as the characterizing symmetry for our geometry \'a la Felix Klein, and then by prescribing 16 gauge vector bosons to this symmetry \'a la Yang and Mills. ... More

Donaldson-Thomas invariants from tropical disksFeb 14 2019We prove that the quantum DT invariants associated to quivers with genteel potential can be expressed in terms of certain refined counts of tropical disks. This is based on a quantum version of Bridgeland's description of cluster scattering diagrams in ... More

Employing functional interactions for characterization and detection of sparse complexes from yeast PPI networksJan 03 2013Over the last few years, several computational techniques have been devised to recover protein complexes from the protein interaction (PPI) networks of organisms. These techniques model "dense" subnetworks within PPI networks as complexes. However, our ... More

Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equationApr 13 2012We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate ... More

Nonlinear frames and sparse reconstructions in Banach spacesJun 11 2015In the first part of this paper, we consider nonlinear extension of frame theory by introducing bi-Lipschitz maps $F$ between Banach spaces. Our linear model of bi-Lipschitz maps is the analysis operator associated with Hilbert frames, $p$-frames, Banach ... More

Smale's mean value conjecture for finite Blaschke productsSep 01 2016Motivated by a dictionary between polynomials and finite Blaschke products, we study both Smale's mean value conjecture and its dual conjecture for finite Blaschke products in this paper. Our result on the dual conjecture for finite Blaschke products ... More

Dips at CollidersJul 23 2014Aug 14 2014We categorize new physics signatures that manifest themselves as a "dip" structure at colliders. One potential way to realize a dip is to require interactions to be zero when all particles are mass on-shell, but not if one or more are mass off-shell. ... More

Local disorder in Na0.5Bi0.5TiO3-piezoceramic determined by 3D electron diffuse scatteringSep 14 2017Local structural distortions in Na0.5Bi0.5TiO3-based solid solutions have been proved to play a crucial role in understanding and tuning their enhanced piezoelectric properties near the morphotropic phase boundary. In this work all local structural disorders ... More

Diffuse inverse Compton and synchrotron emission from dark matter annihilations in galactic satellitesMar 22 2004Annihilating dark matter particles produce roughly as much power in electrons and positrons as in gamma ray photons. The charged particles lose essentially all of their energy to inverse Compton and synchrotron processes in the galactic environment. We ... More

Superheavy Particle Origin of IceCube PeV Neutrino EventsMay 29 2013Oct 26 2013We interpret the PeV shower events observed by the IceCube collaboration as an s-channel enhancement of neutrino-quark scattering by a leptoquark that couples to the tau-flavor and light quarks. With a leptoquark mass of ~ 0.6 TeV and a steep 1/E^{2.3} ... More

Numerical Relativity As A Tool For Computational AstrophysicsApr 06 1999The astrophysics of compact objects, which requires Einstein's theory of general relativity for understanding phenomena such as black holes and neutron stars, is attracting increasing attention. In general relativity, gravity is governed by an extremely ... More

A Systematic Scheme for Measuring the Performance of the Display-Camera ChannelJan 12 2015Display-camera communication has become a promising direction in both computer vision and wireless communication communities. However, the consistency of the channel measurement is an open issue since precise calibration of the experimental setting has ... More

Edge N-Level Sparse Visibility Graphs: Fast Optimal Any-Angle Pathfinding Using Hierarchical Taut PathsFeb 06 2017In the Any-Angle Pathfinding problem, the goal is to find the shortest path between a pair of vertices on a uniform square grid, that is not constrained to any fixed number of possible directions over the grid. Visibility Graphs are a known optimal algorithm ... More

Natural Kobayashi-Maskawa Model of CP Violation and Flavor PhysicsMar 05 2004We explore the possible tie between the naturalness of having a very small strong CP $\theta$ parameter in the Kobayashi-Maskawa Model and the flavor symmetry. We provide many examples in which the flavor symmetry group at high energy can naturally give ... More

Linked and knotted chimera filaments in oscillatory systemsSep 08 2015Jul 17 2016While the existence of stable knotted and linked vortex lines has been established in many experimental and theoretical systems, their existence in oscillatory systems and systems with nonlocal coupling has remained elusive. Here, we present strong numerical ... More

A Finiteness theorem for positive definite strictly $n$-regular quadratic formsJun 13 2017An integral quadratic form is called strictly $n$-regular if it primitively represents all quadratic forms in $n$ variables that are primitively represented by its genus. For any $n \geq 2$, it will be shown that there are only finitely many similarity ... More

Quantum Spin Dynamics in a Normal Bose Gas with Spin-orbit CouplingJun 03 2018Jul 30 2018In this Letter, we investigate spin dynamics of a two-component Bose gas with spin-orbit coupling realised in cold atom experiments. We derive coupled hydrodynamic equations for number and spin densities as well as their associated currents. Specialising ... More

Orderings of Monomial IdealsMay 27 2003We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of monomial ideals is finite. Then we investigate ordinal invariants for the ... More

Exciton Condensates in Double Quantum Wells: A Laboratory for nontrivial topologies and unconventional superconductivityMay 12 2014It is shown that exciton condensates exhibit an incredible richness in the role that fundamental symmetries play whether manifest or broken. We investigate the appearance of the singlet and the triplet excitonic condensates under spin-orbit coupling (SOC) ... More

Charged Higgs in MSSM and BeyondNov 21 2017Jun 05 2018We conduct a numerical study over the constrained MSSM (CMSSM), Next-to-MSSM (NMSSM) and $U(1)$ extended MSSM (UMSSM) to probe the allowed mass ranges of the charged Higgs boson and its dominant decay patterns, which might come into prominence in near ... More

Efficient magnetohydrodynamic simulations on graphics processing units with CUDAAug 30 2009Nov 21 2010Magnetohydrodynamic (MHD) simulations based on the ideal MHD equations have become a powerful tool for modeling phenomena in a wide range of applications including laboratory, astrophysical, and space plasmas. In general, high-resolution methods for solving ... More

New Production Mechanism for Heavy Neutrinos at the LHCAug 09 2013Jan 28 2014We study a new production mechanism for heavy neutrinos at the LHC, which dominates over the usually considered $s$-channel $W$-exchange diagram for heavy-neutrino masses larger than 100 - 200 GeV. The new mechanism is infrared-enhanced by $t$-channel ... More

First-forbidden transitions and stellar $β$-decay rates of Zn and Ge isotopesFeb 20 2016First-forbidden (FF) charge-changing transitions become relatively important for nuclei as their proton number increases. This is because the strength of allowed Gamow-Teller (GT) transitions decreases with increasing Z. The FF transitions play an important ... More

Neutralino Dark Matter and Other LHC Predictions from Quasi Yukawa UnificationMar 13 2015We explore the dark matter and LHC implications of t-b-tau quasi Yukawa unification in the framework of supersymmetric models based on the gauge symmetry G=SU(4)_{c}\times SU(2)_{L}\times SU(2)_{R}. The deviation from exact Yukawa unification is quantified ... More

The GL(4 R) Yang-Mills Theory of Gravity Predicts An Inflationary Scenario For The Evolution of The Primordial UniverseMar 14 2013We show that the GL(4 R) gauge theory of gravity will admit an exponentially expanding solution for the primordial evolution of the Universe. This inflationary phase of the Universe is driven by a rapidly changing GL(4 R) gauge field configuration. No ... More

A Yang-Mills Type Gauge Theory of Gravity and the Dark Matter and Dark Energy ProblemsSep 30 2012May 31 2013A Yang-Mills type gauge theory of gravity is shown to have a richer structure than the Einstein's General Theory of Relativity. This new structure can give an explanation of the form of the galactic rotation curves, of the amount of intergalactic gravitational ... More

Secure Prolog-Based Mobile CodeJun 07 2004LogicWeb mobile code consists of Prolog-like rules embedded in Web pages, thereby adding logic programming behaviour to those pages. Since LogicWeb programs are downloaded from foreign hosts and executed locally, there is a need to protect the client ... More