Results for "Hoi Dick Ng"

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Propagation of gaseous detonation waves in a spatially inhomogeneous reactive mediumMar 27 2017Detonation propagation in a compressible medium wherein the energy release has been made spatially inhomogeneous is examined via numerical simulation. The inhomogeneity is introduced via step functions in the reaction progress variable, with the local ... More
Mixing Within Patterned Vortex CoreOct 16 2009The video shows the flow dynamics within inner and outer regions of a vortex core. The observed phenomena mimic a transport process occurring within the Antarctic vortex. The video shows two distinct regions: a strongly mixed core and broad ring of weakly ... More
Meso-resolved simulations of shock-to-detonation transition in nitromethane with air-filled cavitiesMay 14 2019Two-dimensional, meso-resolved numerical simulations are performed to investigate the complete shock-to-detonation transition (SDT) process in a mixture of liquid nitromethane (NM) and air-filled, circular cavities. The shock-induced initiation behaviors ... More
Meso-resolved simulations of shock-to-detonation transition in nitromethane with air-filled cavitiesMay 14 2019May 15 2019Two-dimensional, meso-resolved numerical simulations are performed to investigate the complete shock-to-detonation transition (SDT) process in a mixture of liquid nitromethane (NM) and air-filled, circular cavities. The shock-induced initiation behaviors ... More
Which action for brane worlds?Jul 09 2000Sep 21 2000In his pioneering work on singular shells in general relativity, Lanczos had derived jump conditions across energy-momentum carrying hypersurfaces from the Einstein equation with codimension 1 sources. However, on the level of the action, the discontinuity ... More
The string scale and the Planck scaleJul 23 1997A particle spectrum below the string scale in accordance with predictions from heterotic string theory yields a Planck mass $m_{Pl}=(8\pi G_N)^{-1/2}$ which exceeds the string scale by a factor $\simeq 61.9$. A Planck mass $m_{Pl}=2.43\times 10^{18}$ ... More
Non-Standard Fermion Propagators from Conformal Field TheoryAug 04 1994It is shown that Weyl spinors in 4D Minkowski space are composed of primary fields of half-integer conformal weights. This yields representations of fermionic 2-point functions in terms of correlators of primary fields with a factorized transformation ... More
The dilaton as a candidate for dark matterSep 25 1996Oct 01 1996We examine consequences of the stabilization of the dilaton through the axion. An estimate of the resulting dilaton potential yields a relation between the axion parameter $m_a f_{PQ}$ and the average instanton radius, and predicts the ratio between the ... More
Supertranslations to all ordersAug 14 2009The transformation laws of the general linear superfield and chiral superfields under N=1 supertranslations are tabulated to all orders in the supertranslation parameters.
Discrepancy bounds for infinite-dimensional order two digital sequences over $\mathbb{F}_2$Aug 07 2012Sep 24 2013In this paper we provide explicit constructions of digital sequences over the finite field of order 2 in the infinite dimensional unit cube whose first $N$ points projected onto the first $s$ coordinates have $\mathcal{L}_q$ discrepancy bounded by $r^{3/2-1/q} ... More
Hamiltonians and Green's functions which interpolate between two and three dimensionsApr 24 2002I propose to use Hamiltonians which contain two-dimensional and three-dimensional kinetic terms for the description of two-dimensional systems in physics. As a model system the evolution of three-dimensional wavefunctions in the presence of an infinitely ... More
Self-trapping of the dilatonSep 22 1995The dilaton in three dimensions does not roll. Witten's conjecture that duality between theories in three and four dimensions solves the cosmological constant problem thus may also solve the dilaton problem in string theory.
Dimensionally hybrid Green's functions and density of states for interfacesJul 12 2007Aug 30 2007The energy dependent Green's function for an interface Hamiltonian which interpolates between two and three dimensions can be calculated explicitly. This yields an expression for the density of states on the interface which interpolates continuously between ... More
The Coulomb potential in gauge theory with a dilatonJan 13 1997Feb 17 1997I calculate the potential of a pointlike particle carrying SU$(N_c)$ charge in a gauge theory with a dilaton. The solution depends on boundary conditions imposed on the dilaton: For a dilaton that vanishes at infinity the resulting potential is of the ... More
Higher order scrambled digital nets achieve the optimal rate of the root mean square error for smooth integrandsJul 06 2010Nov 20 2012We study a random sampling technique to approximate integrals $\int_{[0,1]^s}f(\mathbf{x})\,\mathrm{d}\mathbf{x}$ by averaging the function at some sampling points. We focus on cases where the integrand is smooth, which is a problem which occurs in statistics. ... More
Standard Cosmology in the DGP Brane ModelOct 17 2001Oct 19 2001Large extra dimensions provide interesting extensions of our parameter space for gravitational theories. There exist now brane models which can perfectly reproduce standard four-dimensional Friedmann cosmology. These models are not motivated by observations, ... More
Brane worldsMay 31 2001This is an introductory review of gravity on branes with an emphasis on codimension 1 models. However, for a new result it is also pointed out that the cosmological evolution of the 3-brane in the model of Dvali, Gabadadze and Porrati may follow the standard ... More
Remarks on chiral symmetry breaking with massless fermionsJun 29 1995Jul 06 1995In this talk I present recent results on Lorentz covariant correlation functions $\langle q(p_1)\overline{q}(p_2)\rangle$ on the cone $p^2=0$. In particular, chiral symmetry breaking terms are constructed which resemble fermionic 2--point functions of ... More
Confinement from a massive scalar in QCDFeb 28 1998A model is introduced with a massive scalar coupling to the Yang--Mills term in four--dimensional gauge theory. It is shown that the resulting potential of colour sources consists of a short range Coulomb interaction and a long range confining part. Far ... More
Walsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high orderApr 01 2013We define a Walsh space which contains all functions whose partial mixed derivatives up to order $\delta \ge 1$ exist and have finite variation. In particular, for a suitable choice of parameters, this implies that certain Sobolev spaces are contained ... More
On the Newtonian Limit in Gravity Models with Inverse Powers of RJul 10 2003I reconsider the problem of the Newtonian limit in nonlinear gravity models in the light of recently proposed models with inverse powers of the Ricci scalar. Expansion around a maximally symmetric local background with positive curvature scalar R_0 gives ... More
Vector and scalar confinement in gauge theory with a dilatonJun 07 1997Jun 16 1997In a recent letter it has been shown that gauge theory with a dilaton provides linearly increasing gauge potentials from static or uniformly moving pointlike colour sources. This ensures confinement in the framework of no-pair equations. Here I would ... More
Half-Differentials and Fermion PropagatorsOct 13 1994From a geometric point of view, massless spinors in $3+1$ dimensions are composed of primary fields of weights $(\frac{1}{2},0)$ and $(0,\frac{1}{2})$, where the weights are defined with respect to diffeomorphisms of a sphere in momentum space. The Weyl ... More
On free-group algorithms that sandwich a subgroup between free-product factorsJun 17 2013Let $F$ be a finite-rank free group and $H$ be a finite-rank subgroup of $F$. We discuss proofs of two algorithms that sandwich $H$ between an upper-layer free-product factor of $F$ that contains $H$ and a lower-layer free-product factor of $F$ that is ... More
Graphs of groups and the Atiyah conjecture for one-relator groupsApr 25 2000Jan 17 2001Paper withdrawn because of a gap in the proof of Proposition 3 of Thomas Schick: "Integrality of L2-Betti numbers", Math. Ann. 317, 727-750 (arXiv.org/abs/math.gt/0001101). Most results of the withdrawn paper were based on this proposition.
Resistances for heat and mass transfer through a liquid-vapor interface in a binary mixtureAug 20 2010In this paper we calculate the interfacial resistances to heat and mass transfer through a liquid-vapor interface in a binary mixture. We use two methods, the direct calculation from the actual non-equilibrium solution and integral relations, derived ... More
Few-Bit CSI Acquisition for Centralized Cell-Free Massive MIMO with Spatial CorrelationFeb 19 2019The availability and accuracy of Channel State Information (CSI) play a crucial role for coherent detection in almost every communication system. Particularly in the recently proposed cell-free massive MIMO system, in which a large number of distributed ... More
Optimal $\mathcal{L}_2$ discrepancy bounds for higher order digital sequences over the finite field $\mathbb{F}_2$Jul 21 2012Jun 03 2013We show that the $\mathcal{L}_2$ discrepancy of the explicitly constructed infinite sequences of points $(\boldsymbol{x}_0,\boldsymbol{x}_1, \boldsymbol{x}_2,...)$ in $[0,1)^s$ over $\mathbb{F}_2$ introduced in [J. Dick, Walsh spaces containing smooth ... More
Gravity and the Newtonian limit in the Randall-Sundrum modelJan 04 2000Jan 06 2000We point out that the gravitational evolution equations in the Randall-Sundrum model appear in a different form than hitherto assumed. As a consequence, the model yields a correct Newtonian limit in a novel manner.
On hyperbolic once-punctured-torus bundles III: Comparing two tessellations of the complex planeNov 11 2008To each once-punctured-torus bundle, $T_\phi$, over the circle with pseudo-Anosov monodromy $\phi$, there are associated two tessellations of the complex plane: one, $\Delta(\phi)$, is (the projection from $\infty$ of) the triangulation of a horosphere ... More
Insecurity of position-based quantum cryptography protocols against entanglement attacksSep 12 2010Sep 21 2010Recently, position-based quantum cryptography has been claimed to be unconditionally secure. In contrary, here we show that the existing proposals for position-based quantum cryptography are, in fact, insecure if entanglement is shared among two adversaries. ... More
Universal tail profile of Gaussian multiplicative chaosFeb 11 2019In this article we study the tail probability of the mass of Gaussian multiplicative chaos. With the novel use of a Tauberian argument and Goldie's implicit renewal theorem, we provide a unified approach to general log-correlated Gaussian fields in arbitrary ... More
The spectral measure of certain elements of the complex group ring of a wreath productJul 20 2001We use elementary methods to compute the L2-dimension of the eigenspaces of the Markov operator on the lamplighter group and of generalizations of this operator on other groups. In particular, we give a transparent explanation of the spectral measure ... More
Cosmological implications of a light dilatonJan 09 1998Jan 14 1998Supersymmetric Peccei-Quinn symmetry and string theory predict a complex scalar field comprising a dilaton and an axion. These fields are massless at high energies, but it is known since long that the axion is stabilized in an instanton dominated vacuum. ... More
Calculation of the relative metastabilities of proteins in subcellular compartments of Saccharomyces cerevisiaeDec 01 2008[abridged] Background: The distribution of chemical species in an open system at metastable equilibrium can be expressed as a function of environmental variables which can include temperature, oxidation-reduction potential and others. Calculations of ... More
A higher order Blokh-Zyablov propagation rule for higher order netsMar 20 2012Higher order nets were introduced by Dick as a generalisation of classical $(t,m,s)$-nets, which are point sets frequently used in quasi-Monte Carlo integration algorithms. Essential tools in finding such point sets of high quality are propagation rules, ... More
Orders on trees and free products of left-ordered groupsMay 07 2014Jul 02 2019We construct total orders on the vertex set of an oriented tree. The orders are based only on up-down counts at the interior vertices and the edges along the unique geodesic from a given vertex to another. As an application, we provide a short proof (modulo ... More
Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequalityJun 02 2014Oct 08 2014In this paper we prove a correspondence principle between multivariate functions of bounded variation in the sense of Hardy and Krause and signed measures of finite total variation, which allows us to obtain a simple proof of a generalized Koksma--Hlawka ... More
Discrepancy estimates for variance bounding Markov chain quasi-Monte CarloNov 08 2013Dec 02 2014Markov chain Monte Carlo (MCMC) simulations are modeled as driven by true random numbers. We consider variance bounding Markov chains driven by a deterministic sequence of numbers. The star-discrepancy provides a measure of efficiency of such Markov chain ... More
Transport of heat and mass in a two-phase mixture. From a continuous to a discontinuous descriptionJun 30 2010We present a theory which describes the transport properties of the interfacial region with respect to heat and mass transfer. Postulating the local Gibbs relation for a continuous description inside the interfacial region, we derive the description of ... More
Radiation pressure on a dielectric boundary: was Poynting wrong?Feb 10 2009When a plane electromagnetic wave in air falls on a flat dielectric boundary, the dielectric body is pulled toward the air as predicted by Poynting a century ago. According to Noether's theorem, the momentum in the direction parallel to the boundary must ... More
Dimensional Effects on the Density of States in Systems with Quasi-Relativistic Dispersion Relations and Potential WellsNov 30 2015Apr 29 2016Motivated by the recent discoveries of materials with quasi-relativistic dispersion relations, we determine densities of states in materials with low dimensional substructures and relativistic dispersion relations. We find that these dimensionally hybrid ... More
The Zieschang-McCool method for generating algebraic mapping-class groupsApr 28 2011Let g and p be non-negative integers. Let A(g,p) denote the group consisting of all those automorphisms of the free group on {t_1,...,t_p, x_1,...,x_g, y_1,...y_g} which fix the element t_1t_2...t_p[x_1,y_1]...[x_g,y_g] and permute the set of conjugacy ... More
On the fast computation of the weight enumerator polynomial and the $t$ value of digital nets over finite abelian groupsOct 02 2012In this paper we introduce digital nets over finite abelian groups which contain digital nets over finite fields and certain rings as a special case. We prove a MacWilliams type identity for such digital nets. This identity can be used to compute the ... More
Quantum Key Distribution with Vacua or Dim Pulses as Decoy StatesSep 11 2005Recently, Hwang has proposed a decoy state method in quantum key distribution (QKD). In Hwang's proposal, the average photon number of the decoy state is about two. Here, we propose a new decoy state scheme using vacua or very weak coherent states as ... More
Getting Something Out of NothingMar 01 2005We study quantum key distribution with standard weak coherent states and show, rather counter-intuitively, that the detection events originated from vacua can contribute to secure key generation rate, over and above the best prior art result. Our proof ... More
Will Quantum Cryptography ever become a successful technology in the marketplace?Dec 02 1999We assess the potential of quantum cryptography as a technology. We highlight the fact that academia and real world have rather different perspectives and interests. Then, we describe the various real life forces (different types of users, vendors of ... More
Exact Wavefunctions for non-Abelian Chern-Simons ParticlesJun 16 1993Exact wavefunctions for N non-Abelian Chern-Simons (NACS) particles are obtained by the ladder operator approach. The same method has previously been applied to construct exact wavefunctions for multi-anyon systems. The two distinct base states of the ... More
Proof of unconditional security of six-state quantum key distribution schemeFeb 27 2001Jul 12 2001We prove the unconditional security of the standard six-state scheme for quantum key distribution (QKD). We demonstrate its unconditional security up to a bit error rate of 12.7 percents, by allowing only one-way classical communications in the error ... More
A simple proof of the unconditional security of quantum key distributionApr 27 1999Quantum key distribution is the most well-known application of quantum cryptography. Previous proposed proofs of security of quantum key distribution contain various technical subtleties. Here, a conceptually simpler proof of security of quantum key distribution ... More
On the least singular value of random symmetric matricesFeb 08 2011Mar 17 2011Let $F_n$ be an $n$ by $n$ symmetric matrix whose entries are bounded by $n^{\gamma}$ for some $\gamma>0$. Consider a randomly perturbed matrix $M_n=F_n+X_n$, where $X_n$ is a random symmetric matrix whose upper diagonal entries $x_{ij}$ are iid copies ... More
A new approach to an old problem of Erdos and MoserDec 04 2011Let $\eta_i, i=1,..., n$ be iid Bernoulli random variables, taking values $\pm 1$ with probability 1/2. Given a multiset $V$ of $n$ elements $v_1, ..., v_n$ of an additive group $G$, we define the \emph{concentration probability} of $V$ as $$\rho(V) := ... More
On distribution of three-term arithmetic progressions in sparse subsets of F_p^nMay 24 2009Apr 22 2010We prove a version of Szemeredi's regularity lemma for subsets of a typical random set in F_p^n. As an application, a result on the distribution of three-term arithmetic progressions in sparse sets is discussed.
Classification theorems for sumsets modulo a primeNov 09 2008Jan 27 2009Let $\Z/pZ$ be the finite field of prime order $p$ and $A$ be a subsequence of $\Z/pZ$. We prove several classification results about the following questions: (1) When can one represent zero as a sum of some elements of $A$ ? (2) When can one represent ... More
A Survey of Numerical Solutions to the Coagulation EquationOct 19 2001We present the results of a systematic survey of numerical solutions to the coagulation equation for a rate coefficient of the form A_ij \propto (i^mu j^nu + i^nu j^mu) and monodisperse initial conditions. The results confirm that there are three classes ... More
Quantum Coding Theorem for Mixed StatesApr 04 1995Apr 19 1995We prove a theorem for coding mixed-state quantum signals. For a class of coding schemes, the von Neumann entropy $S$ of the density operator describing an ensemble of mixed quantum signal states is shown to be equal to the number of spin-$1/2$ systems ... More
Is baryon number violated when electroweak strings intercommute?Sep 15 1994Oct 14 1994We reexamine the self-helicity and the intercommutation of electroweak strings. A plausible argument for baryon number conservation when electroweak strings intercommute is presented. The connection between a segment of electroweak strings and a sphaleron ... More
A continuous variant of the inverse Littlewood-Offord problem for quadratic formsMay 28 2011Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of quadratic forms. We show that if this form concentrates on a small ball with high probability, then the coefficients can be approximated by a sum of additive ... More
Concentration of distances in Wigner matricesSep 20 2017It is well-known that distances in random iid matrices are highly concentrated around their mean. In this note we extend this concentration phenomenon to Wigner matrices. Exponential bounds for the lower tail are also included.
Diversity and Origin of 2:1 Orbital Resonances in Extrasolar Planetary SystemsJan 21 2004May 07 2004(Abridged) A diversity of 2:1 resonance configurations can be expected in extrasolar planetary systems, and their geometry can provide information about the origin of the resonances. Assembly during planet formation by the differential migration of planets ... More
Optimal Inverse Littlewood-Offord theoremsApr 22 2010Jan 16 2011Let eta_i be iid Bernoulli random variables, taking values -1,1 with probability 1/2. Given a multiset V of n integers v_1,..., v_n, we define the concentration probability as rho(V) := sup_{x} Pr(v_1 eta_1+...+ v_n eta_n=x). A classical result of Littlewood-Offord ... More
Anti-concentration of inhomogeneous random walksAug 06 2015Aug 31 2015We provide several characterizations for anti-concentration of inhomogeneous random walks in non-abelian groups. The approach follows from the recent work by Tao, which is based on Breuillard, Green and Tao's work on approximate groups. In application, ... More
Insecurity of Quantum Secure ComputationsNov 19 1996Apr 28 1997It had been widely claimed that quantum mechanics can protect private information during public decision in for example the so-called two-party secure computation. If this were the case, quantum smart-cards could prevent fake teller machines from learning ... More
Intrinsic Time Quantum GravityMar 15 2016Correct identification of the true gauge symmetry of General Relativity being 3d spatial diffeomorphism invariant(3dDI) (not the conventional infinite tensor product group with principle fibre bundle structure), together with intrinsic time extracted ... More
Characterization of Strongly Equivalent Logic Programs in Intermediate LogicsJun 03 2002The non-classical, nonmonotonic inference relation associated with the answer set semantics for logic programs gives rise to a relationship of 'strong equivalence' between logical programs that can be verified in 3-valued Goedel logic, G3, the strongest ... More
Presentations for subgroups of Artin groupsOct 24 2012For a connected graph L, let G(L) be a group with generators the vertex set of L, subject only to the relations that the ends of each edge commute. Now let H(L) be the kernel of the homomorphism from G(L) to the integers that takes each vertex to 1. M. ... More
A Supersymmetric Lagrangian for Fermionic Fields with Mass Dimension OneOct 05 2010Oct 31 2010We present the derivation of a supersymmetric model for fermionic fields with integer valued mass dimension based on a general superfield with one free spinor index. First, we demonstrate that it is impossible to formulate such a model based on a general ... More
The electroweak theory of SU(3) $\times$ U(1)Dec 18 1992An electroweak model of SU(3) $\times$ U(1) gauge group is studied. {}From the group theoretical constraint, the symmetry breaking of this model to the standard model occurs at 1.7~TeV or lower. Hence the mass of the new neutral gauge boson is less than ... More
A discrete mean value of the derivative of the Riemann zeta functionJun 12 2007In this article we compute a discrete mean value of the derivative of the Riemann zeta function. This mean value will be important for several applications concerning the size of $\zeta'(\rho)$ where $\zeta(s)$ is the Riemann zeta function and $\rho$ ... More
From Quantum Cheating to Quantum SecurityNov 19 2001For thousands of years, code-makers and code-breakers have been competing for supremacy. Their arsenals may soon include a powerful new weapon: quantum mechanics. We give an overview of quantum cryptology as of November 2000.
Quantum Cryptography: from Theory to PracticeFeb 22 2007Mar 13 2007Quantum cryptography can, in principle, provide unconditional security guaranteed by the law of physics only. Here, we survey the theory and practice of the subject and highlight some recent developments.
A tight lower bound on the classical communication cost of entanglement dilutionApr 17 2002Jun 28 2002Entanglement concentration requires no classical communication, but the best prior art result for diluting to N copies of a partially entangled state requires an amount of communication on the order of sqrt(N) bits. Our main result is to prove this prior ... More
Unconditionally secure key distillation from multi-photonsDec 06 2004Jan 24 2006In this paper, we prove that the unconditionally secure key can be surprisingly extracted from {\it multi}-photon emission part in the photon polarization-based QKD. One example is shown by explicitly proving that one can indeed generate an unconditionally ... More
Inefficiency and classical communication bounds for conversion between partially entangled pure bipartite statesNov 29 2004Jul 20 2006We derive lower limits on the inefficiency and classical communication costs of dilution between two-term bipartite pure states that are partially entangled. We first calculate explicit relations between the allowable error and classical communication ... More
Proof of security of quantum key distribution with two-way classical communicationsMay 23 2001Sep 17 2002Shor and Preskill have provided a simple proof of security of the standard quantum key distribution scheme by Bennett and Brassard (BB84) by demonstrating a connection between key distribution and entanglement purification protocols with one-way communications. ... More
The classical communication cost of entanglement manipulation: Is entanglement an inter-convertible resource?Feb 10 1999Jul 07 1999Entanglement bits or ``ebits'' have been proposed as a quantitative measure of a fundamental resource in quantum information processing. For such an interpretation to be valid, it is important to show that the same number of ebits in different forms or ... More
Multi-partite quantum cryptographic protocols with noisy GHZ statesApr 23 2004Apr 03 2008We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph states. We then ... More
The Elliptic LawAug 29 2012Sep 09 2014We show that, under some general assumptions on the entries of a random complex $n \times n$ matrix $X_n$, the empirical spectral distribution of $\frac{1}{\sqrt{n}} X_n$ converges to the uniform law of an ellipsoid as $n$ tends to infinity. This generalizes ... More
Merton's portfolio problem with power utility under Volterra Heston modelMay 14 2019This paper investigates Merton's portfolio problem in a rough stochastic environment described by Volterra Heston model. The model has a non-Markovian and non-semimartingale structure. By considering an auxiliary random process, we solve the portfolio ... More
Mean-variance portfolio selection under Volterra Heston modelApr 29 2019Motivated by empirical evidence for rough volatility models, this paper investigates the continuous-time mean-variance (MV) portfolio selection under Volterra Heston model. Due to the non-Markovian and non-semimartingale nature of the model, classic stochastic ... More
Pulsar science with the CHIME telescopeNov 06 2017The CHIME telescope (the Canadian Hydrogen Intensity Mapping Experiment) recently built in Penticton, Canada, is currently being commissioned. Originally designed as a cosmology experiment, it was soon recognized that CHIME has the potential to simultaneously ... More
Blind Quantum Computing with Decoy StatesAug 31 2015Aug 19 2016In this paper, we study the Universal Blind Quantum Computing (UBQC) protocol, which allows a client to perform quantum computation on a remote quantum server and the Remote Blind qubit state Preparation (RBSP) protocol which allows the client to prepare ... More
Tilting Saturn without tilting Jupiter: Constraints on giant planet migrationSep 23 2015The migration and encounter histories of the giant planets in our Solar System can be constrained by the obliquities of Jupiter and Saturn. We have performed secular simulations with imposed migration and N-body simulations with planetesimals to study ... More
What can we learn from the measurement $R_b \equiv Γ(Z\to b \overline{b}) / Γ(Z\to {\rm hadrons})$?Mar 15 1995We examine the effect of new physics on the $R_b \equiv \Gamma(Z\rightarrow \bar{b}b)/\Gamma(Z\rightarrow {\rm hadrons})$. Conditions for large contributions are derived.
Production of scalar particles in expanding spacetimeMay 26 2005Jun 07 2005In this paper, we investigate cosmological particle production using quantum field theory (QFT). We will consider how production of scalar particles can occur in an expanding universe. By introducing a time-dependent energy parameter representing the ... More
Plane curves and contact geometryMar 08 2005Nov 02 2005We apply contact homology to obtain new results in the problem of distinguishing immersed plane curves without dangerous self-tangencies.
A skein approach to Bennequin type inequalitiesSep 13 2007We give a simple unified proof for several disparate bounds on Thurston-Bennequin number for Legendrian knots and self-linking number for transverse knots in R^3, and provide a template for possible future bounds. As an application, we give sufficient ... More
On arc index and maximal Thurston-Bennequin numberDec 13 2006Apr 22 2011We discuss the relation between arc index, maximal Thurston--Bennequin number, and Khovanov homology for knots. As a consequence, we calculate the arc index and maximal Thurston--Bennequin number for all knots with at most 11 crossings. For some of these ... More
The sixth moment of the Riemann zeta function and ternary additive divisor sumsOct 17 2016Hardy and Littlewood initiated the study of the $2k$-th moments of the Riemann zeta function on the critical line. In 1918 Hardy and Littlewood established an asymptotic formula for the second moment and in 1926 Ingham established an asymptotic formula ... More
A characterization of torsion theories in the cluster category of Dynkin type A_{\infty}May 24 2010Let D be the cluster category of Dynkin type A_{\infty}. This paper provides a bijection between torsion theories in D and certain configurations of arcs connecting non-neighbouring integers.
Inflationary Potential Reconstruction for a WMAP Running Power SpectrumMar 15 2006Jun 13 2006The first year WMAP measurement of the CMB temperature anisotropy is intriguingly consistent with a larger running of the inflationary scalar spectral index than would be expected for single-field inflation. We revisit the issue of a large running spectral ... More
Random multiparty entanglement distillationSep 25 2007Jan 15 2008We describe various results related to the random distillation of multiparty entangled states - that is, conversion of such states into entangled states shared between fewer parties, where those parties are not predetermined. In previous work [Phys. Rev. ... More
Non-abelian vortices and non-abelian statisticsJun 01 1993We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering ... More
Tuned Inception V3 for Recognizing States of Cooking IngredientsMay 05 2019Cooking is a task that must be performed in a daily basis, and thus it is an activity that many people take for granted. For humans preparing a meal comes naturally, but for robots even preparing a simple sandwich results in an extremely difficult task. ... More
A topological introduction to knot contact homologyOct 17 2012Jan 10 2014This is a survey of knot contact homology, with an emphasis on topological, algebraic, and combinatorial aspects.
Extreme values of zeta prime rhoJun 12 2007In this article we exhibit small and large values of $\zeta'(\rho)$ by applying Soundararajan's resonance method. Our results assume the Riemann hypothesis.
The fourth moment of ζ^{'}(ρ)Oct 23 2003Discrete moments of the Riemann zeta function were studied by Gonek and Hejhal in the 1980's. They independently formulated a conjecture concerning the size of these moments. In 1999, Hughes, Keating, and O'Connell, by employing a random matrix model, ... More
Link Patterns and the Catalan TreeMay 21 2013We demonstrate that a natural construction based on the two notions of insertion of a strand and finding the preimages of Temperley-Lieb algebra generators give an inductive means to generate all link patterns of a given number of strands. It is shown ... More
Alternating paths of fully packed loops and inversion numberFeb 12 2012Jan 05 2013We consider the set of alternating paths on a fixed fully packed loop of size n. This set is in bijection with the set of fully packed loops of size n. Furthermore, for a special choice of fully packed loop, we demonstrate that the set of alternating ... More
Analyze of multistage transfer orbit to reach the GEO orbit in a rotational symmetric gravitational fieldNov 13 2005Placing satellites in geostationary obital (GEO) is propellant exigeant. It requires large propellant consumption that will take a large part of the total mass. Hence the interest is reduce the mass of propellant loaded both in the rocket and the satellite. ... More