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Chatterjea type fixed point in Partial $b$-metric spacesFeb 08 2019In this paper, we give and prove two Chatterjea type fixed point theorems on partial $b$-metric space. We propose an extension to the Banach contraction principle on partial $b$-metric space which was already presented by Shukla and also study some related ... More

($2k+1)^{th}$-order Fixed points in $G$-metric spacesSep 22 2017We establish three major fixed-point theorems for functions satisfying an odd power type contractive condition in G-metric spaces. We first consider the case of a single mapping, followed by that of a triplet of mappings and we conclude by the case of ... More

Common Coupled Fixed Point Theorems for Maps in a $T_0$-ultra-quasi-metric SpaceDec 03 2014In this article, we prove the existence of common fixed points for a pair of maps on a $q$-spherically complete $T_0$-ultra-quasi-metric space. The present article is a generalization, in the assymmetric setting of the paper of Rao et al.\cite{Rao}. The ... More

$n$-tuple fixed point in $φ$-ordered $G$-metric spacesSep 22 2017We use three seminal approaches in the study of fixed point theory, the so called $G$-metrics, multidimensional fixed points and partially ordered spaces. More precisely, we extend known results from the theory of quasi-pseudometric spaces to the $G$-metric ... More

Interactional Expertise and EmbodimentJul 27 2016In Part 1 of this paper, I introduce the idea of interactional expertise while in Part 2, I focus on its implications for philosophical theories of the importance of the body in forming our conceptual world. I argue that the way philosophers have dealt ... More

Mixed state Pauli channel parameter estimationAug 29 2012The accuracy of any physical scheme used to estimate the parameter describing the strength of a single qubit Pauli channel can be quantified using standard techniques from quantum estimation theory. It is known that the optimal estimation scheme, with ... More

Discrimination of unitary transformations in the Deutsch-Jozsa algorithmFeb 23 2010We describe a general framework for regarding oracle-assisted quantum algorithms as tools for discriminating between unitary transformations. We apply this to the Deutsch-Jozsa problem and derive all possible quantum algorithms which solve the problem ... More

Shortening Grover's search algorithm for an expectation value quantum computerSep 26 2002Quantum algorithms are conventionally formulated for implementation on a single system of qubits amenable to projective measurements. However, in expectation value quantum computation, such as nuclear magnetic resonance realizations, the computer consists ... More

Haagerup's inequality and additivity violation of the Minimum Output EntropyMar 02 2016We give a simple and conceptual proof of the fact that random unitary channels yield violation of the Minimum Output Entropy additivity. The proof relies on strong convergence of random unitary matrices and Haagerup's inequality.

The Mass of the b Quark from Lattice NRQCDSep 29 2000Oct 09 2000We present results for the mass of the $b$ quark in the $\bar{MS}$ scheme obtained by calculating the binding energy of the $B$ meson in the static limit. The self energy of a static quark, $E_0^\infty$ needed for this purpose, is now known to $O(\alpha^3)$ ... More

Dynamics forced by surface trellisesJul 13 1999Given a saddle fixed point of a surface diffeomorphism, its stable and unstable curves $W^S$ and $W^U$ often form a homoclinic tangle. Given such a tangle, we use topological methods to find periodic points of the diffeomorphism, using only a subset of ... More

Trans-Planckian relics in the scalar to tensor ratioOct 31 2008The physical properties of our universe at energy scales above the expansion rate during inflation can affect predictions for the ratio between the amplitudes of the primordial scalar and tensor fluctuations. In particular, we study here the effects of ... More

The Hidden Internet of Iran: Private Address Allocations on a National NetworkSep 28 2012While funding agencies have provided substantial support for the developers and vendors of services that facilitate the unfettered flow of information through the Internet, little consolidated knowledge exists on the basic communications network infrastructure ... More

Construction of a Prototype Spark ChamberOct 19 2010A small demonstration spark chamber is to be built at the Cavendish laboratory. A prototype chamber consisting of five 20x22.5cm plates has been built and descriptions of its properties and construction are given, while a second chamber with a somewhat ... More

2-soft-gluon exchange and factorization breakingAug 31 2007A previous counterexample to disprove k_T-factorization for H_1+H_2 --> H_3+H_4+X is extended calculationally to one higher order in gluon exchange. The result is that, by explicit calculation, standard k_T-factorization fails for the unpolarized cross-section ... More

Subtraction method for NLO corrections in Monte-Carlo event generators for leptoproductionJan 05 2000Aug 07 2000In the case of the gluon-fusion process in deep-inelastic leptoproduction, I explicitly show how to incorporate NLO corrections in a Monte-Carlo event generator by a subtraction method. I calculate the parton densities to be used by the event generator ... More

Fragmentation of Transversely Polarized Quarks Probed in Transverse Momentum DistributionsAug 06 1992May 10 2002It is shown that the azimuthal dependence of the distribution of hadrons in a quark jet is a probe of the transverse spin of the quark initiating the jet. This results in a new spin-dependent fragmentation function that acts at the twist-2 level. One ... More

Dynamics of surface diffeomorphisms relative to homoclinic and heteroclinic orbitsOct 04 2002Feb 19 2003The Nielsen-Thurston theory of surface diffeomorphisms shows that useful dynamical information can be obtained about a surface diffeomorphism from a finite collection of periodic orbits.In this paper, we extend these results to homoclinic and heteroclinic ... More

On the concordance orders of knotsJun 04 2012This thesis develops some general calculational techniques for finding the orders of knots in the topological concordance group C. The techniques currently available in the literature are either too theoretical, applying to only a small number of knots, ... More

An algebraic classification of some solvable groups of homeomorphismsFeb 02 2006Apr 13 2006We produce two separate algebraic descriptions of the isomorphism classes of the solvable subgroups of the group PLo(I) of piecewise-linear orientation-preserving homeomorphisms of the unit interval under the operation of composition, and also of the ... More

Three Generative, Lexicalised Models for Statistical ParsingJun 17 1997In this paper we first propose a new statistical parsing model, which is a generative model of lexicalised context-free grammar. We then extend the model to include a probabilistic treatment of both subcategorisation and wh-movement. Results on Wall Street ... More

Modified Grover's algorithm for an expectation value quantum computerNov 20 2001The translation of Grover's search algorithm from its standard version, designed for implementation on a single quantum system amenable to projective measurements, into one suitable for an ensemble of quantum computers, whose outputs are expectation values ... More

Are AGN the Best Factories for High Energy Particles and Photons?Nov 11 2008The main properties of AGN are reviewed, focussing on the accretion process and on the question of whether AGN are the best factories of ultra high energy particles and photons. I recall the large differences between the accretion/ejection flows in strong ... More

Quasars and Galactic Nuclei,a Half-Century Agitated StoryApr 27 2006Sep 01 2006I recall how the discovery of quasars occurred more than forty years ago, and the strong debates marking out their story. It led to the discovery of Massive Black Holes, which are now known to be present in almost all galaxies, and it opened on a coherent ... More

Restricted Schur Polynomials and Finite N CountingOct 23 2008Restricted Schur polynomials have been posited as orthonormal operators for the change of basis from N=4 SYM to type IIB string theory [1,2,3,4]. In this letter we briefly expound the relationship found between the restricted Schurs and the operators ... More

Embedded Spreadsheet ModellingAug 08 2009In larger accounting firms, specialist modellers typically sit in separate teams. This paper will look at the advantages of embedding a specialist modeller within a Corporate Finance Team.

The influence of inhomogeneities on the large-scale expansion of the universeNov 09 2010The evolution of an inhomogeneous universe composed entirely of matter is followed from an early, nearly uniform state until the time when the inhomogeneities have begun to grow large. The particular distribution of matter studied in this article is chosen ... More

Solvability in Groups of Piecewise-linear Homeomorphisms of the Unit IntervalOct 18 2005We investigate subgroups of the group PLo(I) of piecewise-linear, orientation preserving homeomorphisms of the unit interval with finitely many breaks in slope, and also subgroups of Thompson's group F. We find geometric criteria determining the derived ... More

Forcing relations for homoclinic and periodic orbits of the Smale horseshoe mapNov 12 2003An important problem in the dynamics of surface homeomorphisms is determining the forcing relation between orbits. The forcing relation between periodic orbits can be computed using standard algorithms, though this does not give much information on the ... More

An exploration of normalish subgroups of R. Thompson's groups $F$ and $T$Mar 05 2016In this short note, we show that R. Thompson's group $F$ admits a normalish amenable subgroup, and that the standard copy of $F$ in R. Thompson's group $T$ is normalish in $T$. We further conjecture that if $F$ is non-amenable, then $T$ does not admit ... More

Product of random projections, Jacobi ensembles and universality problems arising from free probabilityJun 28 2004We consider the product of two independent randomly rotated projectors. The square of its radial part turns out to be distributed as a Jacobi ensemble. We study its global and local properties in the large dimension scaling relevant to free probability ... More

A Generalization of a Bin-Based Modification to the Stochastic Simulation AlgorithmNov 23 2015In a 1996 paper, See$\beta$elberg, Trautmann and Thorn modified Gillespie's (1975) Monte Carlo algorithm which is used to stochastically simulate the collision and coalescence process. Their modification reduces the storage requirements of the simulation ... More

An Imitation Game concerning gravitational wave physicsJul 25 2016The 'Imitation Game' is a Turing Test played with a human participant instead of a computer. Here the author, a sociologist, who has been immersed in the field of gravitational wave physics since 1972, tried to pass an Imitation Game as a gravitational ... More

Martin Boundary Theory of some Quantum Random WalksNov 22 2002In this paper we define a general setting for Martin boundary theory associated to quantum random walks, and prove a general representation theorem. We show that in the dual of a simply connected Lie subgroup of U(n), the extremal Martin boundary is homeomorphic ... More

The L^2 signature of torus knotsJan 08 2010Jun 25 2010We find a formula for the L2 signature of a (p,q) torus knot, which is the integral of the omega-signatures over the unit circle. We then apply this to a theorem of Cochran-Orr-Teichner to prove that the n-twisted doubles of the unknot, for n not 0 or ... More

Rapidity divergences and valid definitions of parton densitiesAug 19 2008Sep 04 2008Rapidity divergences occur when parton densities in a gauge theory are defined in the most natural way, as expectation values of partonic number operators in light-front quantization. I review these and other related divergences, and show how the definitions ... More

Factorization in hard diffractionJul 24 2001Jan 10 2002In this talk, I reviewed the role of factorization in diffraction hard scattering.

Monte-Carlo Event Generators at NLOOct 08 2001A method to construct Monte-Carlo event generators at arbitrarily non-leading order is explained for the case of a non-gauge theory. A precise and correct treatment of parton kinematics is provided. Modifications of the conventional formalism are required: ... More

The Problem Of Scales: Renormalization and All ThatOct 11 1995Feb 12 2009I explain the methods that are used in field theory for problems involving typical momenta on two or more widely disparate scales. The principal topics are: (a) renormalization, which treats the problem of taking an ultra-violet cut-off to infinity, (b) ... More

Polarized Beam JetsOct 10 1995Handedness and a left-right asymmetry have been proposed as methods of probing the polarization of hard jets. If the analyzing powers for these observables are substantial they would provide useful tools for probing polarized hard scattering. This paper ... More

Dimming the Internet: Detecting Throttling as a Mechanism of Censorship in IranJun 18 2013In the days immediately following the contested June 2009 Presidential election, Iranians attempting to reach news content and social media platforms were subject to unprecedented levels of the degradation, blocking and jamming of communications channels. ... More

A geometric classification of some solvable groups of homeomorphismsFeb 02 2006Feb 03 2006We investigate subgroups of the group PLo(I) of piecewise-linear, orientation-preserving homeomorphisms of the unit interval with finitely many breaks in slope, under the operation of composition, and also subgroups of the generalized Thompson groups ... More

A Minimal Non-solvable Group of HomeomorphismsAug 07 2006Let $PL_0(I)$ represent the group of orientation-preserving piecewise-linear homeomorphisms of the unit interval which admit finitely many breaks in slope, under the operation of composition. We find a non-solvable group $W$ and show that $W$ embeds in ... More

Moments and Cumulants of Polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probabilityMay 07 2002Jun 06 2002We consider integrals on unitary groups $U_d$ of the form $$\int_{U_d}U_{i_1j_1}... U_{i_qj_q}U^*_{j'_{1}i'_{1}} ... U^*_{j'_{q'}i'_{q'}}dU$$ We give an explicit formula in terms of characters of symmetric groups and Schur functions, which allows us to ... More

Non LTE radiation processes: application to the solar coronaJan 12 2001These lectures are intended to present a simple but relatively complete description of the theory needed to understand the formation of lines in non-local thermodynamical equilibrium (NLTE), without appealing to any previous knowledge except a few basics ... More

Accretion and emission processes in AGNJan 12 2001Jan 13 2001The UV-X continuum, the X-ray spectral features, and the variability in these bands provide powerful tools for studying the innermost regions of AGNs from which we gain an insight into the accretion process. In this chapter the discussion focusses on ... More

New definition of TMD parton densitiesJul 20 2011I give an account of a new definition of transverse-momentum-dependent parton densities. The new definition solves a number of difficulties and inconsistencies in earlier definitions.

TMD theory, factorization and evolutionJul 10 2013The concepts and methods of factorization using transverse-momentum-dependent (TMD) parton densities and/or fragmentation functions are summarized.

CSS Equation, etc, Follow from Structure of TMD FactorizationDec 24 2012I show that the forms of the Collins-Soper-Sterman and renormalization-group equations for the evolution of transverse-momentum-dependent (TMD) parton densities in QCD follow from the structure of TMD factorization. A derivation does not need to directly ... More

QCD and DiffractionJun 12 2001I review some of the main results on hard diffraction, in their relation to QCD, and indicate some of the strengths and weaknesses of the arguments. I also make some suggestions for future work.

Light-cone Variables, Rapidity and All ThatMay 22 1997I give a pedagogical summary of the methods of light-cone variables, rapidity and pseudo-rapidity. Then I show how these methods are useful in analyzing diffractive high-energy collisions.

The non-triviality of the vacuum in light-front quantization: An elementary treatmentJan 11 2018It is often stated that the vacuum is trivial when light-front (null-plane) quantization is applied to a quantum field theory, in contrast to the situation with equal-time quantization. In fact, it is has long been known that the statement is false, and ... More

A New Statistical Parser Based on Bigram Lexical DependenciesMay 06 1996This paper describes a new statistical parser which is based on probabilities of dependencies between head-words in the parse tree. Standard bigram probability estimation techniques are extended to calculate probabilities of dependencies between pairs ... More

Discrimination of Unitary Transformations and Quantum AlgorithmsNov 09 2008Quantum algorithms are typically understood in terms of the evolution of a multi-qubit quantum system under a prescribed sequence of unitary transformations. The input to the algorithm prescribes some of the unitary transformations in the sequence with ... More

Uncertainties of the masses of black holes and Eddington ratios in AGNDec 04 2006Black hole masses in Active Galactic Nuclei have been determined in 35 objects through reverberation mapping of the emission line region. I mention some uncertainties of the method, such as the ``scale factor'' relating the Virial Product to the mass, ... More

Different approaches to TMD Evolution with scaleSep 18 2014Many apparently contradictory approaches to TMD factorization and its non-perturbative content exist. This talk evaluated the different methods and proposed tools for resolving the contradictions and experimentally adjudicating the results.

Do fragmentation functions in factorization theorems correctly treat non-perturbative effects?Oct 31 2016Current all-orders proofs of factorization of hard processes are made by extracting the leading power behavior of Feynman graphs, i.e., by extracting asymptotics strictly order-by-order in perturbation theory. The resulting parton densities and fragmentation ... More

Some questions about the dimension of a group actionNov 14 2006We discuss three families of groups, $ZW_n$, $PL(I^n)$, and $PL(S^n)$ (the last two being families of groups of piecewise-linear homeomorphisms of standard $n$-dimensional spaces). We note that for all positive integers $n$, $ZW_n$ embeds in $PL(I^n)$ ... More

Entropy-minimising models of surface diffeomorphisms relative to homoclinic and heteroclinic orbitsNov 12 2003In the theory of surface diffeomorphisms relative to homoclinic and heteroclinic orbits, it is possible to compute a one-dimensional representative map for any irreducible isotopy class. The topological entropy of this graph representative is equal to ... More

Computable Stochastic ProcessesSep 15 2014Oct 13 2015The aim of this paper is to present an elementary computable theory of probability, random variables and stochastic processes. The probability theory is baed on existing approaches using valuations and lower integrals. Various approaches to random variables ... More

Matrix Units in the Symmetric Group Algebra, and Unitary IntegrationJul 17 2013In this paper, we establish an explicit isomorphism between the symmetric group algebra and the path algebra of the Young graph. Specifically, we construct a family of matrix units in the group algebra. As a main application of this construction, we obtain ... More

SN1a Supernova Red ShiftsJan 05 2001Oct 05 2004Recent SN1a data have probed deeper into space than ever before. Plotted as distance vs. recession speed, a disturbing non-linearity is found which has led to speculations about "dark energy" which somehow acts like anti-gravity. This study finds a full ... More

Random matrix techniques in quantum information theorySep 15 2015The purpose of this review article is to present some of the latest developments using random techniques, and in particular, random matrix techniques in quantum information theory. Our review is a blend of a rather exhaustive review, combined with more ... More

Curvature actions on Spin(n) bundlesSep 24 2001We compute the number of linearly independent ways in which a tensor of Weyl type may act upon a given irreducible tensor-spinor bundle V over a Riemannian manifold. Together with the analogous but easier problem involving actions of tensors of Einstein ... More

Matter in a Warped and Oscillating BackgroundOct 25 2001We examine the role of matter in an oscillating background with a warped, compact extra dimension. This background is compatible with an S^1/Z_2 orbifold structure which allows chiral fermions to be included in the scenario. When the background oscillates ... More

Brane Cosmologies without OrbifoldsMar 17 2000Jun 20 2000We study the dynamics of branes in configurations where 1) the brane is the edge of a single anti-de Sitter (AdS) space and 2) the brane is the surface of a vacuum bubble expanding into a Schwarzschild or AdS-Schwarzschild bulk. In both cases we find ... More

Trans-Planckian enhancements of the primordial non-GaussianitiesMay 29 2009This article examines how breaking a Lorentz-invariant description of nature at tiny space-time intervals would affect the non-Gaussian character of the pattern of primordial perturbations left by inflation. We specifically study a set of irrelevant operators ... More

Coherent multiple-antenna block-fading channels at finite blocklengthApr 23 2017Jun 26 2018In this paper we consider a channel model that is often used to describe the mobile wireless scenario: multiple-antenna additive white Gaussian noise channels subject to random (fading) gain with full channel state information at the receiver. Dynamics ... More

Log-canonical thresholds in real and complex dimension 2Jul 27 2017Feb 05 2018We study the set of log-canonical thresholds (or critical integrability indices) of holomorphic (resp. real analytic) function germs in $\mathbb{C}^2$ (resp. $\mathbb{R}^2$). In particular, we prove that the ascending chain condition holds, and that the ... More

Stability and Convergence of the Sasaki-Ricci FlowMay 19 2011We introduce a holomorphic sheaf E on a Sasaki manifold and study two new notions of stability for E along the Sasaki-Ricci flow related to the `jumping up' of the number of global holomorphic sections of E at infinity. First, we show that if the Mabuchi ... More

High Capacity Image Steganography using Adjunctive Numerical Representations with Multiple Bit-Plane Decomposition MethodsJun 07 2016LSB steganography is a one of the most widely used methods for implementing covert data channels in image file exchanges [1][2]. The low computational complexity and implementation simplicity of the algorithm are significant factors for its popularity ... More

An OpenMath Content Dictionary for Tensor ConceptsMay 24 2010We introduce a new OpenMath content dictionary, named tensor1, containing symbols for the expression of tensor formulas. These symbols support the expression of non-Cartesian coordinates and invariant, multilinear expressions in the context of coordinate ... More

Gluing stability conditionsFeb 02 2009May 13 2010We define and study a gluing procedure for Bridgeland stability conditions in the situation when a triangulated category has a semiorthogonal decomposition. As an application we construct stability conditions on the derived categories of ${\mathbb{Z}}_2$-equivariant ... More

What exactly is a parton density?Apr 12 2003Apr 28 2003I give an account of the definitions of parton densities, both the conventional ones, integrated over parton transverse momentum, and unintegrated transverse-momentum-dependent densities. The aim is to get a precise and correct definition of a parton ... More

On the Compatibility Between Physics and Intelligent OrganismsFeb 09 2001It has been commonly argued, on the basis of Goedel's theorem and related mathematical results, that true artificial intelligence cannot exist. Penrose has further deduced from the existence of human intelligence that fundamental changes in physical theories ... More

QCD and Hadronic Interactions: Summary talk for Moriond 97May 09 1997This talk covers a selection of topics that were discussed at this meeting in the non-heavy-ion sessions: (a) The high $Q^{2}$ events at HERA and their theoretical interpretation. (b) The issues of how well we know the predictions of QCD, with a particular ... More

Physics of Polarized pp CollisionsSep 23 1993I will summarize the physics that can be investigated with polarized pp collisions. It is technically feasible to use the RHIC collider for accelerating highly polarized protons to a center-of-mass energy of about 400 GeV, with high luminosity. Such collisions ... More

Equivelar toroids with few flag-orbitsFeb 21 2018An $(n+1)$-toroid is a quotient of a tessellation of the $n$-dimensional Euclidean space with a lattice group. Toroids are generalizations of maps in the torus on higher dimensions and also provide examples of abstract polytopes. Equivelar toroids are ... More

On some properties of orthogonal Weingarten functionsMar 30 2009We give a Fourier-type formula for computing the orthogonal Weingarten formula. The Weingarten calculus was introduced as a systematic method to compute integrals of polynomials with respect to Haar measure over classical groups. Although a Fourier-type ... More

Ideal structure of the C*-algebra of Thompson group TSep 29 2014Oct 06 2014In a recent paper Uffe Haagerup and Kristian Knudsen Olesen show that for Richard Thompson's group $T$, if there exists a finite set $H$ which can be decomposed as disjoint union of sets $H_1$ and $H_2$ with $\sum_{g\in H_1}\pi(g)=\sum_{h\in H_2}\pi(h)$ ... More

The Fe II problem in NLS1sMay 08 2000For more than twenty years, strong Fe II emission lines have been observed in Active Galactic Nuclei and in particular in Narrow Line Seyfert 1 galaxies. A quick overview of the observations and of the models proposed to interpret the Fe II spectrum is ... More

Modular analogues of Jordan's theorem for finite linear groupsSep 20 2007In 1878, Jordan showed that a finite subgroup of GL(n,C) contains an abelian normal subgroup whose index is bounded by a function of n alone. Previously, the author has given precise bounds. Here, we consider analogues for finite linear groups over algebraically ... More

On a reduction procedure for Horn inequalities in finite von Neumann algebrasNov 25 2007We consider the analogues of the Horn inequalities in finite von Neumann algebras, which concern the possible spectral distributions of sums $a+b$ of self--adjoint elements $a$ and $b$ in a finite von Neumann algebra. It is an open question whether all ... More

Cost Sharing in the Aspnes Inoculation ModelFeb 10 2011We consider the use of cost sharing in the Aspnes model of network inoculation, showing that this can improve the cost of the optimal equilibrium by a factor of $O(\sqrt{n})$ in a network of $n$ nodes.

Missing Data Estimation in High-Dimensional Datasets: A Swarm Intelligence-Deep Neural Network ApproachJul 01 2016In this paper, we examine the problem of missing data in high-dimensional datasets by taking into consideration the Missing Completely at Random and Missing at Random mechanisms, as well as theArbitrary missing pattern. Additionally, this paper employs ... More

The energy-momentum tensor for an effective initial state and the renormalization of gravityAug 31 2006We renormalize the divergences in the energy-momentum tensor of a scalar field that begins its evolution in an effective initial state. The effective initial state is a formalism that encodes the signatures of new physics in the structure of the quantum ... More

Taming the alpha-vacuumDec 14 2003An interacting scalar field theory in de Sitter space is non-renormalizable for a generic alpha-vacuum state. This pathology arises since the usual propagator used allows for a constructive interference among propagators in loop corrections, which produces ... More

The renormalization of the energy-momentum tensor for an effective initial stateMay 10 2006Aug 31 2006An effective description of an initial state is a method for representing the signatures of new physics in the short-distance structure of a quantum state. The expectation value of the energy-momentum tensor for a field in such a state contains new divergences ... More

An effective theory of initial conditions in inflationJul 07 2005We examine the renormalization of an effective theory description of a general initial state set in an isotropically expanding space-time, which is done to understand how to include the effects of new physics in the calculation of the cosmic microwave ... More

Scaling issues in ensemble implementations of the Deutsch-Jozsa algorithmJul 21 2003Nov 03 2003We discuss the ensemble version of the Deutsch-Jozsa (DJ) algorithm which attempts to provide a "scalable" implementation on an expectation-value NMR quantum computer. We show that this ensemble implementation of the DJ algorithm is at best as efficient ... More

Integration over quantum permutation groupsJun 06 2006Sep 05 2006We find a combinatorial formula for the Haar measure of quantum permutation groups. This leads to a dynamic formula for laws of diagonal coefficients, explaining the Poisson/free Poisson convergence result for characters.

Fast Recompilation of Object Oriented ModulesJun 10 2005Once a program file is modified, the recompilation time should be minimized, without sacrificing execution speed or high level object oriented features. The recompilation time is often a problem for the large graphical interactive distributed applications ... More

Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum ChannelsJun 16 2010Using the graphical calculus and integration techniques introduced by the authors, we study the statistical properties of outputs of products of random quantum channels for entangled inputs. In particular, we revisit and generalize models of relevance ... More

A PEP model of the electronJan 30 2008One of the more profound mysteries of physics is how nature ties together EM fields to form an electron. A way to do this is examined in this study. A bare magnetic dipole containing a flux quantum spins stably, and produces an inverse square E= -vxB ... More

The Randall-Sundrum Scenario with an Extra Warped DimensionMar 10 2001We investigate a scenario with two four-branes embedded in six dimensions. When the metric is periodic and compact in one of the dimensions parallel to the branes, the value of the effective cosmological constant for the remaining five dimensions can ... More

A Gamma-Poisson Model for Normalizing Archaeological AssemblagesFeb 02 2016Weighting artifact counts in archaeology has typically followed either a spatial or frequency-based approach. The following paper proposes a Bayesian inferential model using the Poisson distribution to normalize counts of artifacts as a rate, when comparing ... More

A biologically-motivated system is poised at a critical stateMar 15 2013Aug 21 2013We explore the critical behaviors in the dynamics of information transfer of a biologically-inspired system by an individual-based model. "Quorum response", a type of social interaction which has been recognized taxonomically in animal groups, is applied ... More

Depolarizing channel parameter estimation using noisy initial statesJun 19 2015We consider estimating the parameter associated with the qubit depolarizing channel when the available initial states that might be employed are mixed. We use quantum Fisher information as a measure of the accuracy of estimation to compare protocols which ... More

Models and algorithms for skip-free Markov decision processes on treesSep 17 2013Nov 08 2013We introduce a class of models for multidimensional control problems which we call skip-free Markov decision processes on trees. We describe and analyse an algorithm applicable to Markov decision processes of this type that are skip-free in the negative ... More

The Transverse Entropy Functional and the Sasaki-Ricci FlowMar 29 2011Jul 07 2011We introduce two new functionals on Sasaki manifolds, inspired by the work of Perelman, which are monotonic along the Sasaki-Ricci flow. We relate their gradient flow, via diffeomorphisms preserving the foliated structure of the manifold, to the transverse ... More