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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

High Speed Event-based Face Detection and Tracking in the Blink of an EyeMar 27 2018Nov 19 2018We present the first purely event-based method for face detection using the high temporal resolution of an event-based camera. We will rely on a new feature that has never been used for such a task that relies on detecting eye blinks. Eye blinks are a ... 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

Expanded calculation of weak-interaction mediated neutrino cooling rates due to $^{56}$Ni in stellar matterAug 15 2014Accurate estimate of the neutrino cooling rates is required in order to study the various stages of stellar evolution of massive stars. Neutrino losses from proto-neutron stars play a crucial role in deciding whether these stars would be crushed into ... 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

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

Near Time-Optimal Feedback Instantaneous Impact Point (IIP) Guidance Law for RocketNov 12 2017This paper proposes a feedback guidance law to move the instantaneous impact point (IIP) of a rocket to a desired location. Analytic expressions relating the time derivatives of an IIP with the external acceleration of the rocket are introduced. A near ... More

Propagation of Acoustical Wave in Finite Cylindrical Solid Bar surrounded by Semi-Infinite Porous Media saturated with FluidNov 07 2015We established the propagation equation of acoustical wave in media with the solid/porous media cylindrical boundary and obtained the analytic solution. We suggested the boundary condition on solid-porous media cylindrical boundary. Based on that, we ... 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

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

$β$-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

Neutrino energy loss rates and positron capture rates on $^{55}$Co for presupernova and supernova physicsAug 03 2011Proton-neutron quasi-particle random phase approximation (pn-QRPA) theory has recently being used for calculation of stellar weak interaction rates of $fp$-shell nuclide with success. Neutrino losses from proto-neutron stars play a pivotal role to decide ... More

Comparative study of Gamow-Teller strength distributions in the odd-odd nucleus 50V and its impact on electron capture rates in astrophysical environmentsAug 03 2011Gamow-Teller (GT) strength transitions are an ideal probe for testing nuclear structure models. In addition to nuclear structure, GT transitions in nuclei directly affect the early phases of Type Ia and Type-II supernovae core collapse since the electron ... More

Muon g-2 in GMSB with Adjoint MessengersDec 07 2016We explored the sparticle mass spectrum in light of the muon g-2 anomaly and the little hierarchy problem in a class of gauge mediated supersymmetry breaking model. Here the messenger fields transform in the adjoint representation of the Standard Model ... 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

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

Higgs Boson Mass from t-b-tau Yukawa UnificationDec 09 2011Jun 22 2012We employ the Yukawa coupling unification condition, y_t= y_b= y_tau at M_GUT, inspired by supersymmetric SO(10) models, to estimate the lightest Higgs boson mass as well as masses of the associated squarks and gluino. We employ non-universal soft masses, ... More

Charge-changing transitions and capture strengths of pf-shell nuclei with $T_{z} = -2$ at proton drip-lineFeb 19 2016Charge-changing transitions, commonly referred to as Gamow-Teller (GT) transitions, and electron capture/$\beta^{+}$-decay strengths for pf-shell nuclei with $T_{z} = - 2$ at proton drip-line have been calculated using the proton-neutron quasi-particle ... 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

Comparison of Gamow-Teller strengths in the random phase approximationAug 31 2012Mar 25 2013The Gamow-Teller response is astrophysically important for a number of nuclides, particularly around iron. The random phase approximation (RPA) is an efficient way to generate strength distributions. In order to better understand both theoretical systematics ... More

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

Prediction of Signal Sequences in Abiotic Stress Inducible Genes from Main Crops by Association Rule MiningNov 18 2018It is important to study on genes affecting to growing environment of main crops. Especially the recognition problem of promoter region, which is the problem to predict whether DNA sequences contain promoter regions or not, is prior to find abiotic stress-inducible ... 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

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

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

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

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

Discrete minimal surfaces: critical points of the area functional from integrable systemsOct 29 2015Oct 04 2016We obtain a unified theory of discrete minimal surfaces based on discrete holomorphic quadratic differentials via a Weierstrass representation. Our discrete holomorphic quadratic differential are invariant under M\"{o}bius transformations. They can be ... 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

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

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

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

A Bayes method for a monotone hazard rate via S-pathsFeb 21 2005Jul 01 2006A class of random hazard rates, which is defined as a mixture of an indicator kernel convolved with a completely random measure, is of interest. We provide an explicit characterization of the posterior distribution of this mixture hazard rate model via ... 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

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

Dominant energy condition and causality for Skyrme-like generalizations of the wave-map equationSep 25 2009Nov 15 2010It is shown in this note that a class of Lagrangian field theories closely related to the wave-map equation and the Skyrme model obeys the dominant energy condition, and hence by Hawking's theorem satisfies finite speed of propagation. The subject matter ... 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

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

Bayesian Nonparametric Estimation of a Unimodal Density via two $\mathbf{S}$-pathsSep 02 2006A Bayesian nonparametric method for unimodal densities on the real line is provided by considering a class of species sampling mixture models containing random densities that are unimodal and not necessarily symmetric. This class of densities generalize ... 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

Signatures of invariant Hermitian forms on irreducible highest weight modulesJan 20 2006Sep 05 2006Perhaps the most important problem in representation theory in the 1970s and early 1980s was the determination of the multiplicity of composition factors in a Verma module. This problem was settled by the proof of the Kazhdan-Lusztig Conjecture which ... 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

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

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

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

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

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

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

Variational Semi-blind Sparse Deconvolution with Orthogonal Kernel Bases and its Application to MRFMMar 15 2013We present a variational Bayesian method of joint image reconstruction and point spread function (PSF) estimation when the PSF of the imaging device is only partially known. To solve this semi-blind deconvolution problem, prior distributions are specified ... More

Generalized Soft Breaking Leverage for the MSSMDec 03 2014May 14 2015In this work we study implications of additional non-holomorphic soft breaking terms (mu', A'_t, A'_b and A'_tau) on the MSSM phenomenology. By respecting the existing bounds on the mass measurements and restrictions coming from certain B-decays, we probe ... 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

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

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

High Energy Quark-Antiquark Elastic scattering with Mesonic ExchangeApr 24 1993We studies the high energy elastic scattering of quark anti-quark with an exchange of a mesonic state in the $t$ channel with $-t/\Lambda^{2} \gg 1$. Both the normalization factor and the Regge trajectory can be calculated in PQCD in cases of fixed (non-running) ... 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

Reliable calculations of level densities using statistical spectroscopyNov 23 2001Nucleosynthesis calculations require nuclear level densities for hundreds or even thousands of nuclides. Ideally one would like to constrain these level densities by microscopically motivated yet computationally cheap models. A statistical approach suggests ... More

Statistical spectroscopic calculation of expectation values and spin-cutoff factorsNov 23 2001Recently we proposed a formalism, based in nuclear statistical spectroscopy, for efficient computation of nuclear level density, or densities of states, through a sum of partitioned binomial functions (SUPARB). In this Letter we extend the formalism to ... 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

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

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

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

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

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

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.

Permit Allocation in Emissions Trading using the Boltzmann DistributionAug 10 2011Mar 11 2012In emissions trading, the initial allocation of permits is an intractable issue because it needs to be essentially fair to the participating countries. There are many ways to distribute a given total amount of emissions permits among countries, but 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

Gauge Mediation Models with Adjoint MessengersSep 07 2016We present a class of models in the framework of gauge mediation supersymmetry breaking where the messenger fields transform in the adjoint representation of the Standard Model gauge symmetry. To avoid unacceptably light right-handed sleptons in the spectrum ... More

Summary of the Structure Functions and Low-x working groupJul 31 2005We report a summary of the structure function working group which covers a wide range of the recent results from HERA, Tevatron, RHIC, and JLab experiments, and many theoretical issues from low x to high x.

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

Onset, timing, and exposure therapy of stress disorders: mechanistic insight from a mathematical model of oscillating neuroendocrine dynamicsMar 09 2016The hypothalamic-pituitary-adrenal (HPA) axis is a neuroendocrine system that regulates numerous physiological processes. Disruptions in the activity of the HPA axis are correlated with many stress-related diseases such as post-traumatic stress disorder ... More

Reexamination of the $β^+$ decay process of $^{13}\rm{N}$ nucleusFeb 28 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

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

Light Gluino, Light Bottom Squark Scenario, and LEP PredictionsMay 31 2002Nov 05 2002The scenario of light gluinos and light sbottoms was advocated to explain the discrepancy between the measured and theoretical production of $b$ quarks at the Tevatron. This scenario will have model-independent predictions for $Z\to q\bar q \tilde{g} ... More

Ternary Sums of Squares and Triangular NumbersSep 27 2010Jan 18 2011For any integer $x$, let $T_x$ denote the triangular number $\frac{x(x+1)}{2}$. In this paper we give a complete characterization of all the triples of positive integers $(\alpha, \beta, \gamma)$ for which the ternary sums $\alpha x^2 +\beta T_y + \gamma ... 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

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

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

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

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

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

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

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

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

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