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Measurement of Galaxy Cluster Sizes, Radial Profiles, and Luminosity Functions from SDSS Photometric DataOct 20 2004Jul 20 2005Imaging data from the Sloan Digital Sky Survey is used to measure the empirical size-richness relation for a large sample of galaxy clusters. Using population subtraction methods, we determine the radius at which the cluster galaxy number density is 200/Omega_m ... More

The Galaxy Content of SDSS Clusters and GroupsOct 22 2007Imaging data from the Sloan Digital Sky Survey are used to characterize the population of galaxies in groups and clusters detected with the MaxBCG algorithm. We investigate the dependence of Brightest Cluster Galaxy (BCG) luminosity, and the distributions ... More

Demonstration of Open Quantum System Optimal Control in Dynamic Nuclear PolarizationJul 09 2015Jul 20 2015Dynamic nuclear polarization (DNP) is used in nuclear magnetic resonance (NMR) to transfer polarization from electron spins to nuclear spins. The resulting nuclear polarization enhancement can, in theory, be two or three orders of magnitude depending ... More

B-branes and the Derived CategoryFeb 06 2004By a direct CFT computation, the spectrum of the topological B-model is compared to Ext groups of sheaves. A match can only be made if abstract vector bundles on holomorphic submanifolds are twisted by the canonical $\mathrm{Spin}^c$ structure of its ... More

Rational Curves on Calabi-Yau ThreefoldsFeb 05 1992By considering mirror symmetry applied to conformal field theories corresponding to strings propagating in quintic hypersurfaces in projective 4-space, Candelas, de la Ossa, Green and Parkes calculated the ``number of rational curves on the hypersurface'' ... More

Rational curves on Calabi-Yau manifolds: verifying predictions of Mirror SymmetryJan 27 1993Feb 01 1993Mirror symmetry, a phenomenon in superstring theory, has recently been used to give tentative calculations of several numbers in algebraic geometry. In this paper, the numbers of lines and conics on various hypersurfaces which satisfy certain incidence ... More

Period polynomials for Picard modular formsJul 10 2019Jul 11 2019The relations satisfied by period polynomials associated to modular forms yield a way to count dimensions of spaces of cusp forms. After showing how these relations arise from those on the mapping class group $PSL(2, \mathbb{Z})$ of the moduli space $\mathcal{M}_{0,4}$ ... More

Rational Curves on Calabi-Yau ThreefoldsFeb 05 1992The point is to compare the mathematical meaning of the ``number of rational curves on a Calabi-Yau threefold'' to the meaning ascribed to the same notion by string theorists.

Computing with Harmonic FunctionsNov 15 2015This document is the manual for a free Mathematica package for computing with harmonic functions. This package allows the user to make calculations that would take a prohibitive amount of time if done without a computer. For example, the Poisson integral ... More

Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefoldsAug 19 2004Aug 30 2004Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds are compared. In certain situations, the Donaldson-Thomas invariants are very easy to handle, sometimes easier than the other invariants. This point is illustrated ... More

Rational curves on Calabi-Yau threefoldsDec 16 1993Dec 30 1993This note is a survey of the enumerative geometry of rational curves on Calabi-Yau threefolds, based on a talk given by the author at the May 1991 Workshop on Mirror Symmetry at MSRI. An earlier version appeared in "Essays on Mirror Manifolds"; this version ... More

Arithmetically Cohen-Macaulay Curves cut out by QuadricsFeb 19 1992Mar 23 1992Addressing a question of M. Stillman, it had been shown by Ein, Eisenbud, and the author that in a projective space of dimension at most 5, every arithmetically Cohen-Macaulay curve which is cut out by quadrics scheme- theoretically also has its homogeneous ... More

Verifying Multipartite Entangled GHZ States via Multiple Quantum CoherencesMay 14 2019The ability to generate and verify multipartite entanglement is an important benchmark for near-term quantum devices devices. We develop a scalable entanglement metric based on multiple quantum coherences, and demonstrate experimentally on a 20-qubit ... More

Genus zero Gopakumar-Vafa invariants of contractible curvesJan 09 2006A version of the Donaldson-Thomas invariants of a Calabi-Yau threefold is proposed as a conjectural mathematical definition of the Gopakumar-Vafa invariants. These invariants have a local version, which is verified to satisfy the required properties for ... More

Period polynomials for Picard modular formsJul 10 2019The relations satisfied by period polynomials associated to modular forms yield a way to count dimensions of spaces of cusp forms. After showing how these relations arise from those on the mapping class group $PSL(2, \mathbb{Z})$ of the moduli space $\mathcal{M}_{0,4}$ ... More

Correct interpretation of trace normalized density matrices as ensemblesJun 25 1996May 03 1997A density operator, $\rho = {P}_{\alpha } |\alpha > <\alpha | + {P}_{\beta } |\beta > <\beta |$, with ${P}_{\alpha }$ and ${P}_{\beta }$ linearly independent normalized wave functions, must be traced normalized, so ${P}_{\beta } = 1 - {P}_{\alpha }$. ... More

Cross-correlation Weak Lensing of SDSS Galaxy Clusters III: Mass-to-light RatiosSep 07 2007Feb 27 2008We present measurements of the excess mass-to-light ratio measured aroundMaxBCG galaxy clusters observed in the SDSS. This red sequence cluster sample includes objects from small groups with masses ranging from ~5x10^{12} to ~10^{15} M_{sun}/h. Using ... More

Points of order 13 on elliptic curvesAug 30 2016Sep 16 2016We pick up the study of 13-torsion in elliptic curves where Mazur and Tate left off 45 years ago. We consider various questions concerning elliptic curves defined over the maximal totally real subfield of the 13th cyclotomic field (where J_1(13) acquires ... More

An Implementation of Bayesian Lensing Shear MeasurementMar 29 2014Dec 12 2014The Bayesian gravitational shear estimation algorithm developed by Bernstein and Armstrong (2014) can potentially be used to overcome multiplicative noise bias and recover shear using very low signal-to-noise ratio (S/N) galaxy images. In that work the ... More

A Singularity in the First-order PY Equation for a Square Well FluidJul 17 2008It is shown that a nearest nieghbor Square Well (SW) potential leads to singular behavior in first order. A solution of the first-order perturbative PY equation for an attractive nearest neighbor square well of width less than the core diameter reveals ... More

Compact Operators via the Berezin TransformJul 27 1998In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin transform of S equals 0 on the boundary of the disk. This result is new even ... More

An Improved Cluster Richness EstimatorSep 16 2008Minimizing the scatter between cluster mass and accessible observables is an important goal for cluster cosmology. In this work, we introduce a new matched filter richness estimator, and test its performance using the maxBCG cluster catalog. Our new estimator ... More

Procedure for systematically tuning up crosstalk in the cross resonance gateMar 15 2016We present improvements in both theoretical understanding and experimental implementation of the cross resonance (CR) gate that have led to shorter two-qubit gate times and interleaved randomized benchmarking fidelities exceeding 99%. The CR gate is an ... More

Cosmological Constraints from the SDSS maxBCG Cluster CatalogFeb 21 2009We use the abundance and weak lensing mass measurements of the SDSS maxBCG cluster catalog to simultaneously constrain cosmology and the richness--mass relation of the clusters. Assuming a flat \LambdaCDM cosmology, we find \sigma_8(\Omega_m/0.25)^{0.41} ... More

Constraining the Scatter in the Mass-Richness Relation of maxBCG Clusters With Weak Lensing and X-ray DataSep 16 2008We measure the logarithmic scatter in mass at fixed richness for clusters in the maxBCG cluster catalog, an optically selected cluster sample drawn from SDSS imaging data. Our measurement is achieved by demanding consistency between available weak lensing ... More

Deformed Quantum Cohomology and (0,2) Mirror SymmetryOct 12 2007Sep 03 2010We compute instanton corrections to correlators in the genus-zero topological subsector of a (0,2) supersymmetric gauged linear sigma model with target space P1xP1, whose left-moving fermions couple to a deformation of the tangent bundle. We then deduce ... More

D-branes, open string vertex operators, and Ext groupsAug 14 2002Dec 29 2003In this paper we explicitly work out the precise relationship between Ext groups and massless modes of D-branes wrapped on complex submanifolds of Calabi-Yau manifolds. Specifically, we explicitly compute the boundary vertex operators for massless Ramond ... More

Matter From GeometryJun 14 1996We provide a local geometric description of how charged matter arises in type IIA, M-theory, or F-theory compactifications on Calabi-Yau manifolds. The basic idea is to deform a higher singularity into a lower one through Cartan deformations which vary ... More

Penrose Diagram for a Transient Black HoleMay 24 2010Jun 18 2010A Penrose diagram is constructed for a spatially coherent black hole that smoothly begins an accretion, then excretes symmetrically as measured by a distant observer, with the initial and final states described by a metric of Minkowski form. Coordinate ... More

Soft Superweak CP Violation and the Strong CP PuzzleJul 16 1998Feb 12 1999We discuss a class of models in which CP is violated softly in a heavy sector adjoined to the standard model. Heavy-sector loops produce the observed CP violation in kaon physics, yielding a tiny and probably undetectable value for $\epsilon^\prime$. ... More

Characterization of hidden modes in networks of superconducting qubitsMar 13 2017Dec 05 2017We present a method for detecting electromagnetic (EM) modes that couple to a superconducting qubit in a circuit-QED architecture. Based on measurement-induced dephasing, this technique allows the measurement of modes that have a high quality factor (Q) ... More

Efficient Z-Gates for Quantum ComputingDec 02 2016Jun 28 2017For superconducting qubits, microwave pulses drive rotations around the Bloch sphere. The phase of these drives can be used to generate zero-duration arbitrary "virtual" Z-gates which, combined with two $X_{\pi/2}$ gates, can generate any SU(2) gate. ... More

Three Qubit Randomized BenchmarkingDec 18 2017Dec 12 2018As quantum circuits increase in size, it is critical to establish scalable multiqubit fidelity metrics. Here we investigate three-qubit randomized benchmarking (RB) with fixed-frequency transmon qubits coupled to a common bus with pairwise microwave-activated ... More

Validating quantum computers using randomized model circuitsNov 30 2018We introduce a single-number metric, quantum volume, that can be measured using a concrete protocol on near-term quantum computers of modest size ($n\lesssim 50$), and measure it on several state-of-the-art transmon devices, finding values as high as ... More

Characterizing errors on qubit operations via iterative randomized benchmarkingApr 24 2015With improved gate calibrations reducing unitary errors, we achieve a benchmarked single-qubit gate fidelity of 99.95% with superconducting qubits in a circuit quantum electrodynamics system. We present a method for distinguishing between unitary and ... More

AAO Observer - February 2011 EditionFeb 22 2011This edition of the Australian Astronomical Observatory Observer contains articles on the detection of the baryonic acoustic oscillation signal over a wide range of redshifts by the WiggleZ dark energy survey; results and future plans for the Galaxy And ... More

The Generalized Injectivity ConjectureApr 04 2019We prove a conjecture of Casselman and Shahidi stating that the unique irreducible generic subquotient of a standard module is necessarily a subrepresentation for a large class of connected quasi-split reductive groups, in particular for those which have ... More

Efficient Z-Gates for Quantum ComputingDec 02 2016For superconducting qubits, microwave pulses drive rotations around the Bloch sphere. Here we show that the phase of these drives can be used to generate zero-duration arbitrary Z-gates which, combined with two $X_{\pi/2}$ gates, can generate any SU(2) ... More

The structure of correlation functions in single field inflationDec 03 2008Jan 03 2010Many statistics available to constrain non-Gaussianity from inflation are simplest to use under the assumption that the curvature correlation functions are hierarchical. That is, if the n-point function is proportional to the (n-1) power of the two-point ... More

Oracle inequalities for the Lasso in the high-dimensional Aalen multiplicative intensity modelJun 25 2012Oct 14 2013In a general counting process setting, we consider the problem of obtaining a prognostic on the survival time adjusted on covariates in high-dimension. Towards this end, we construct an estimator of the whole conditional intensity. We estimate it by the ... More

Models of Quadratic Algebras Generated by Superintegrable Systems in 2DApr 05 2011In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set of St\"ackel equivalent systems for both degenerate and nondegenerate systems. ... More

Infinite-dimensional cohomology of SL_2(Z[t, 1/t])Jun 05 2015For J an integral domain and F its field of fractions, we construct a map from the 3-skeleton of the classifying space for {\Gamma} = SL_2(J[t,1/t]) to a Euclidean building on which {\Gamma} acts. We then find an infinite family of independent cocycles ... More

Classification of pointed rank one Hopf algebrasMar 20 2007Feb 24 2008In this paper we classify the finite-dimensional pointed rank one Hopf algebras which are generated as algebras by the first element of the coradical filtration over a field of prime characteristic.

Aperiodicity Conditions in Topological $k$-GraphsOct 18 2011Oct 15 2012We give two new conditions on topological $k$-graphs that are equivalent to the Yeend's aperiodicity Condition (A). Each of the new conditions concerns finite paths rather than infinite. We use a specific example, resulting from a new construction of ... More

Periods on the moduli space of genus 0 curvesNov 13 2009This report outlines a combinatorial recipe for computing the bases, whose elements are oriented polygons, of two cohomology spaces associated to multizeta values: the top dimensional de Rham cohomology of moduli spaces of genus 0 complex pointed curves ... More

Geometric Engineering of Quantum Field TheoriesSep 30 1996Oct 08 1996Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for $N=2$ quantum field theories can be reduced to T-dualities of string theory. This is done by constructing a local geometric ... More

Generalized quiver varieties and triangulated categoriesMay 19 2014Jun 28 2016In this paper, we introduce generalized quiver varieties which include as special cases classical and cyclic quiver varieties. The geometry of generalized quiver varieties is governed by a finitely generated algebra P: the algebra P is self-injective ... More

AAO Observer - August 2011 EditionAug 24 2011This edition of the Australian Astronomical Observatory Observer contains articles on the commissioning of the new SAMI instrument giving the first hexabundle galaxy spectra; galaxy parameter variations across and through the 6dFGS Fundamental Plane; ... More

Asymptotic Growth of Associated Primes of Certain Graph IdealsApr 15 2012Dec 05 2012We specify a class of graphs, $H_t$, and characterize the irreducible decomposition of all powers of the cover ideals. This gives insight into the structure and stabilization of the corresponding associated primes; specifically, providing an answer to ... More

The Symbolic Generic Initial System of Points on an Irreducible ConicApr 29 2013In this note we study the limiting behaviour of the symbolic generic initial system of an ideal I in K[x,y,z] corresponding to an arrangement of r points of P2 lying on an irreducible conic. In particular, we show that the limiting shape of this system ... More

The asymptotic behaviour of symbolic generic initial systems of points in general positionOct 05 2012Consider the ideal I corresponding to r points in P^2. We study the symbolic generic initial system of I, formed by taking the generic initial ideals of the symbolic powers of I, and its asymptotic behaviour. In particular, we describe the limiting shape ... More

Racah Polynomials and Recoupling Schemes of $\mathfrak{su}(1,1)$Apr 14 2015Jul 23 2015The connection between the recoupling scheme of four copies of $\mathfrak{su}(1,1)$, the generic superintegrable system on the 3 sphere, and bivariate Racah polynomials is identified. The Racah polynomials are presented as connection coefficients between ... More

Hairdressing in groups: a survey of combings and formal languagesOct 29 1998A group is combable if it can be represented by a language of words satisfying a fellow traveller property; an automatic group has a synchronous combing which is a regular language. This article surveys results for combable groups, in particular in the ... More

A Decomposition of Schur functions and an analogue of the Robinson-Schensted-Knuth AlgorithmApr 19 2006Apr 02 2009We exhibit a weight-preserving bijection between semi-standard Young tableaux and semi-skyline augmented fillings to provide a combinatorial proof that the Schur functions decompose into nonsymmetric functions indexed by compositions. The insertion procedure ... More

The Generic Initial Ideals of Powers of a 2-Complete IntersectionJun 25 2012Sep 30 2012We compute the reverse lexicographic generic initial ideals of the powers of a 2-complete intersection ideal I. In particular, we give six algorithms to compute these generic initial ideals, the choice of which depends on the power and on the relative ... More

The Asymptotics of Symbolic Generic Initial Systems of Six Points in P2Oct 31 2012Apr 30 2013Consider the ideal I in K[x,y,z] corresponding to six points of P2. We study the limiting behaviour of the symbolic generic initial system, of I obtained by taking the reverse lexicographic generic initial ideals of the symbolic powers of I. The main ... More

The Limiting Polytope of the Generic Initial System of a Complete IntersectionFeb 06 2012Consider a complete intersection I of type (d_1,..., d_r) in a polynomial ring over a field of characteristic 0. We study the graded system of ideals {gin(I^n)}_n obtained by taking the reverse lexicographic generic initial ideals of the powers of I and ... More

Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefoldsNov 09 1999We study the contribution of multiple covers of an irreducible rational curve C in a Calabi-Yau threefold Y to the genus 0 Gromov-Witten invariants in the following cases. (1) If the curve C has one node and satisfies a certain genericity condition, we ... More

Odd Characterizations of Almost Simple Groups (PhD Thesis 2009)Sep 25 2012In this PhD thesis we discuss methods of recognizing finite groups by the structure of normalizers of certain 3-subgroups. We explain a method for characterizing groups using character theoretic and block theoretic methods and we use these methods to ... More

Update on Hidden Sectors with Dark Forces and Dark MatterNov 21 2012Recently there has been much interest in hidden sectors, especially in the context of dark matter and dark forces, since they are a common feature of beyond standard model scenarios like string theory and SUSY and additionally exhibit interesting phenomenological ... More

Naturally Occurring Genetic Variation Influences the Severity of Drosophila Eye Degeneration Induced by Expression of a Mutant Human Insulin GeneMar 02 2013Dominant negative mutations in the insulin gene are the second most common cause of permanent neonatal diabetes. However, variation in severity and penetrance of neonatal diabetes, as in other complex genetic diseases, cannot be accounted for by known ... More

Photon production from gluon mediated quark-anti-quark annihilation at confinementApr 07 2015Jun 20 2015Heavy ion collisions at RHIC produce direct photons at low transverse momentum, $p_{T}$ from 1-3 GeV/c, in excess of the $p$$+$$p$ spectra scaled by the nuclear overlap factor, $T_{AA}$. These low $p_{T}$ photons have a large azimuthal anisotropy, $v_{2}$. ... More

Exactness of free and amenable groups by the construction of Ozawa kernelsSep 15 2004Jun 01 2005Using properties of their Cayley graphs, specific examples of Ozawa kernels are constructed for both free and amenable groups, thus showing that these groups satisfy Property O. It is deduced both that these groups are exact and satisfy Yu's Property ... More

Landau Levels, Anisotropy and HolographyJun 13 2013We analyze properties of field theories dual to extremal black branes in (4+1) dimensions with anisotropic near-horizon geometries. Such gravity solutions were recently shown to fall into nine classes which align with the Bianchi classification of real ... More

A polygonal presentation of $Pic(\overline{\mathfrak{M}}_{0,n})$Nov 13 2009In the first section of this article, we recall Keel's well-known presentation of $Pic(\overline{\mathfrak{M}}_{0,n})$ using irreducible boundary divisors of $\overline{\mathfrak{M}}_{0,n}$ as generators, and describe a basis for $Pic(\overline{\mathfrak{M}}_{0,n})$ ... More

Three-term polynomial progressions in subsets of finite fieldsJul 19 2017Nov 07 2018Bourgain and Chang recently showed that any subset of $\mathbb{F}_p$ of density $\gg p^{-1/15}$ contains a nontrivial progression $x,x+y,x+y^2$. We answer a question of theirs by proving that if $P_1,P_2\in\mathbb{Z}[y]$ are linearly independent and satisfy ... More

How many elements of a Coxeter group have a unique reduced expression?Jan 04 2017Jan 06 2017Let $(W,R)$ be an arbitrary Coxeter system. We determine the number of elements of $W$ that have a unique reduced expression.

The Symbolic Generic Initial System of Almost Linear Point Configurations in P2Apr 29 2013Consider an ideal I in K[x,y,z] corresponding to a point configuration in P2 where all but one of the points lies on a single line. In this paper we study the symbolic generic initial system obtained by taking the reverse lexicographic generic initial ... More

Practical Weak Lensing Shear Measurement with MetacalibrationFeb 08 2017May 11 2017Metacalibration is a recently introduced method to accurately measure weak gravitational lensing shear using only the available imaging data, without need for prior information about galaxy properties or calibration from simulations. The method involves ... More

Phase Transitions and Duality in Adiabatic Memristive NetworksJan 21 2016Aug 11 2016The development of neuromorphic systems based on memristive elements - resistors with memory - requires a fundamental understanding of their collective dynamics when organized in networks. Here, we study an experimentally inspired model of two-dimensional ... More

Phase-dependent noise in Josephson junctionsFeb 16 2017In addition to the usual superconducting current, Josephson junctions (JJs) support a phase-dependent conductance related to the retardation effect of tunneling quasi-particles. This introduces a dissipative current with a memory-resistive (memristive) ... More

Betting on Blockchain Consensus with FantometteMay 16 2018Aug 08 2018Blockchain-based consensus protocols present the opportunity to develop new protocols, due to their novel requirements of open participation and explicit incentivization of participants. To address the first requirement, it is necessary to consider the ... More

Quantum Integrals from Coalgebra StructureOct 16 2014Quantum versions of the hydrogen atom and the harmonic oscillator are studied on non Euclidean spaces of dimension N. 2N-1 integrals, of arbitrary order, are constructed via a multi-dimensional version of the factorization method, thus confirming the ... More

Quantising general relativity using QED theory, an overview and extensionJan 01 2004We summarise and discuss some of our previous results, which show that Bohr's theory of the one-electron atom may be derived from the theory underpinning Quantum ElectroDynamics (QED) or vice versa, and that General Relativity may also be derived from ... More

On the space of non-Gaussian fields with single-clock bispectraMay 23 2016Jul 20 2016We develop a mathematical construction of non-Gaussian fields whose bispectra satisfy the single-clock inflation consistency relation. At the same order that our basis for bispectra recovers the two simplest single clock templates, we also find a third ... More

The nonequivariant coherent-constructible correspondence and tiltingFeb 14 2014Mar 06 2014The coherent-constructible correspondence is a relationship between coherent sheaves on a toric variety X, and constructible sheaves on a real torus T. This was discovered by Bondal, and explored in the equivariant setting by Fang, Liu, Treumann and Zaslow. ... More

Tensor ideals and varieties for modules of quantum elementary abelian groupsDec 18 2013Jan 28 2015In a previous paper we constructed rank and support variety theories for "quantum elementary abelian groups," that is, tensor products of copies of Taft algebras. In this paper we use both variety theories to classify the thick tensor ideals in the stable ... More

An infinite-dimensional $\square_q$-module obtained from the $q$-shuffle algebra for affine $\mathfrak{sl}_2$Jun 26 2018Let $\mathbb F$ denote a field, and pick a nonzero $q \in \mathbb F$ that is not a root of unity. Let $\mathbb Z_4=\mathbb Z/4 \mathbb Z$ denote the cyclic group of order 4. We define a unital associative ${\mathbb F}$-algebra $\square_q$ by generators ... More

Biautomatic structures in systolic Artin groupsJul 06 2018We examine the construction of Huang and Osajda that was used in their proof of the biautomaticity of Artin groups of almost large type. We describe a slightly simpler variant of that biautomatic structure, with explicit descriptions of a few small examples, ... More

Rewriting systems in sufficiently large Artin-Tits groupsNov 09 2015Jul 16 2016A conjecture of Dehornoy claims that, given a presentation of an Artin-Tits group, every word that represents the identity can be transformed into the trivial word using the braid relations, together with certain rules (between pairs of words that are ... More

The strong Bishop-Phelps-Bollobás propertyApr 06 2016In this paper we introduce the strong Bishop-Phelps-Bollob\'as property (sBPBp) for bounded linear operators between two Banach spaces $X$ and $Y$. This property is motivated by a Kim-Lee result which states, under our notation, that a Banach space $X$ ... More

Absence of Chaos in Bohmian DynamicsJan 06 1999The Bohm motion for a particle moving on the line in a quantum state that is a superposition of n+1 energy eigenstates is quasiperiodic with n frequencies.

Lensing Bias in Cosmic ShearApr 29 2009Aug 05 2009Only galaxies bright enough and large enough to be unambiguously identified and measured are included in galaxy surveys used to estimate cosmic shear. We demonstrate that because gravitational lensing can scatter galaxies across the brightness and size ... More

Model of Soft CP ViolationMar 01 2001We propose a model of soft CP violation that evades the strong CP problem and can describe observed CP violation in the neutral kaon sector, both direct and indirect. Our model requires two ``duark'' mesons carrying quark number two that have complex ... More

On a generalization of Chen's iterated integralsDec 29 2007Aug 24 2010Chen's iterated integrals may be generalized by interpolation of functions of the positive integer number of times which particular forms are iterated in integrals along specific paths, to certain complex values. These generalized iterated integrals satisfy ... More

Bohmian Mechanics and Quantum InformationJul 14 2009Many recent results suggest that quantum theory is about information, and that quantum theory is best understood as arising from principles concerning information and information processing. At the same time, by far the simplest version of quantum mechanics, ... More

Bohmian Mechanics and the Quantum RevolutionDec 26 1995This is a review-essay on ``Speakable and Unspeakable in Quantum Mechanics'' by John Bell and ``The Undivided Universe: An Ontological Interpretation of Quantum Mechanics'' by David Bohm and Basil Hiley. The views of these authors concerning the character ... More

Are All Particles Identical?May 08 2004Feb 03 2005We consider the possibility that all particles in the world are fundamentally identical, i.e., belong to the same species. Different masses, charges, spins, flavors, or colors then merely correspond to different quantum states of the same particle, just ... More

Quantum Mechanics in Multiply-Connected SpacesJun 21 2005Jun 28 2006We explain why, in a configuration space that is multiply connected, i.e., whose fundamental group is nontrivial, there are several quantum theories, corresponding to different choices of topological factors. We do this in the context of Bohmian mechanics, ... More

Size Bias in Galaxy SurveysApr 29 2009Aug 05 2009Only certain galaxies are included in surveys: those bright and large enough to be detectable as extended sources. Because gravitational lensing can make galaxies appear both brighter and larger, the presence of foreground inhomogeneities can scatter ... More

Gromov-Witten Invariants via Algebraic GeometryOct 30 1995Nov 06 1995Calculations of the number of curves on a Calabi-Yau manifold via an instanton expansion do not always agree with what one would expect naively. It is explained how to account for continuous families of instantons via deformation theory and excess intersection ... More

The Bishop-Phelps-Bollobás property and absolute sumsJun 25 2018In this paper we study conditions assuring that the Bishop-Phelps-Bollob\'as property (BPBp, for short) is inherited by absolute summands of the range space or of the domain space. Concretely, given a pair (X, Y) of Banach spaces having the BPBp, (a) ... More

Pentaquarks and Tetraquarks at LHCbSep 14 2015Exotic resonant structures found in $\Lambda^0_b$ and $\overline{B}^0$ decays into charmonium in the LHCb experiment are discussed. Examination of the $J/\psi p$ system in $\Lambda^0_b\to J/\psi K^- p$ decays shows two states each of which must be composed ... More

Stress-testing memcomputing on hard combinatorial optimization problemsJun 30 2018Memcomputing is a novel paradigm of computation that utilizes dynamical elements with memory to both store and process information on the same physical location. Its building blocks can be fabricated in hardware with standard electronic circuits, thus ... More

Quantum Philosophy: The Flight from Reason in ScienceJan 10 1996This is a talk concerning the irrationality of prominent physicists with regard to the foundations of quantum mechanics, delivered at a conference on the irrationality of the postmodern attack on science by nonscientists.

Fermionic Wave Functions on Unordered ConfigurationsMar 14 2014Quantum mechanical wave functions of N identical fermions are usually represented as anti-symmetric functions of ordered configurations. Leinaas and Myrheim proposed how a fermionic wave function can be represented as a function of unordered configurations, ... More

On an algebraic version of the Knizhnik-Zamolodchikov equationSep 28 2010A difference equation analogue of the Knizhnik-Zamolodchikov equation is exhibited by developing a theory of the generating function $H(z)$ of Hurwitz polyzeta functions to parallel that of the polylogarithms. By emulating the role of the KZ equation ... More

Versal deformations and superpotentials for rational curves in smooth threefoldsOct 30 2000The versal deformation space of a smooth rational curve in a smooth complex threefold is explicitly computed under certain hypotheses. Under an additional hypothesis, the versal deformation space is then shown to be the variety of critical points of a ... More

Strong subdifferentiability and local Bishop-Phelps-Bollobás propertiesMay 21 2019It has been recently presented some local versions of the Bishop-Phelps-Bollob\'as type property for operators. In the present article, we continue studying these properties for multilinear mappings. We show some differences between the local and uniform ... More

Probing dark energy with cluster counts and cosmic shear power spectra: including the full covarianceMay 02 2007Sep 22 2007(Abridged) Combining cosmic shear power spectra and cluster counts is powerful to improve cosmological parameter constraints and/or test inherent systematics. However they probe the same cosmic mass density field, if the two are drawn from the same survey ... More