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Zeros of certain combinations of Eisenstein seriesMar 03 2016We prove that if $k$ and $\ell$ are sufficiently large, then all the zeros of the weight $k+\ell$ cusp form $E_k(z) E_{\ell}(z) - E_{k+\ell}(z)$ in the standard fundamental domain lie on the boundary. We moreover find formulas for the number of zeros ... More

Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGOJul 10 2019This white paper describes the research and development needed over the next decade to realize "Cosmic Explorer," the U.S. node of a future third-generation detector network that will be capable of observing and characterizing compact gravitational-wave ... More

Feedback control of optical beam spatial profiles using thermal lensingMay 20 2013A method for active control of the spatial profile of a laser beam using adaptive thermal lensing is described. A segmented electrical heater was used to generate thermal gradients across a transmissive optical element, resulting in a controllable thermal ... More

Near-field radiative heat transfer between macroscopic planar surfacesMar 11 2011Near-field radiative heat transfer allows heat to propagate across a small vacuum gap in quantities that are several orders of magnitude greater then the heat transfer by far-field, blackbody radiation. Although heat transfer via near-field effects has ... More

Census of the Local Universe (CLU) Narrow-Band Survey I: Galaxy Catalogs from Preliminary FieldsOct 13 2017May 08 2019We present the Census of the Local Universe (CLU) narrow-band survey to search for emission-line (\ha) galaxies. CLU-\ha~has imaged $\approx$3$\pi$ of the sky (26,470~deg$^2$) with 4 narrow-band filters that probe a distance out to 200~Mpc. We have obtained ... More

The Advanced LIGO Input OpticsJan 20 2016The Advanced LIGO gravitational wave detectors are nearing their design sensitivity and should begin taking meaningful astrophysical data in the fall of 2015. These resonant optical interferometers will have unprecedented sensitivity to the strains caused ... More

Continuum Percolation for Quermass ModelJan 11 2012The continuum percolation for Markov (or Gibbs) germ-grain models is investigated. The grains are assumed circular with random radii on a compact support. The morphological interaction is the so-called Quermass interaction defined by a linear combination ... More

Randomized greedy algorithms for independent sets and matchings in regular graphs: Exact results and finite girth correctionsJul 08 2008We derive new results for the performance of a simple greedy algorithm for finding large independent sets and matchings in constant degree regular graphs. We show that for $r$-regular graphs with $n$ nodes and girth at least $g$, the algorithm finds an ... More

The transverse proximity effect in the z ~ 2 Lyman-alpha forest suggests QSO episodic lifetimes of ~1 MyrSep 12 2008We look for signs of the H~I transverse proximity effect in the spectra of 130 QSO pairs, most with transverse separations in the plane of the sky of 0.1 -- 3 Mpc at z ~ 2.2. We expected to see a decrease in Lyman-alpha forest HI absorption in the spectrum ... More

Comet Encounters and Carbon 14Nov 26 2012The $^{14}$C production of shock-accelerated particles is calculated in terms of the total energy released in energetic particles. The recently reported 1.2% jump in the $^{14}$C content of the atmosphere in the year C.E. 775, it is found, would require ... More

Stable Leader Election in Population Protocols Requires Linear TimeFeb 14 2015Aug 20 2016A population protocol *stably elects a leader* if, for all $n$, starting from an initial configuration with $n$ agents each in an identical state, with probability 1 it reaches a configuration $\mathbf{y}$ that is correct (exactly one agent is in a special ... More

Integrals derived from the doubling methodOct 21 2018In this note, we use a basic identity, derived from the generalized doubling integrals of \cite{C-F-G-K1}, in order to explain the existence of various global Rankin-Selberg integrals for certain $L$-functions. To derive these global integrals, we use ... More

The Detection of Two Distinct High Ionization States in a QSO Lyman Limit Absorption System: Evidence for Hierarchical Galaxy Formation at z ~ 3?Jan 19 1999We have detected two high ionization phases of gas in the z ~ 2.77 partial Lyman limit system (LLS) towards QSO 1157-3143. We detect the first phase by CIV and SiIV absorption, and the second phase -- which is either warmer or undergoing larger random ... More

The RASNIK Real-Time Relative Alignment Monitor for the CDF Inner Tracking DetectorsDec 10 2002We describe the design and operation of the RASNIK optical relative alignment system designed for and installed on the CDF inner tracking detectors. The system provides low-cost minute-by-minute alignment monitoring with submicron precision. To reduce ... More

Results for the LISA Phase Measurement System ProjectNov 01 2004Jan 11 2005This article presents some of the more topical results of a study into the LISA phase measurement system. This system is responsible for measuring the phase of the heterodyne signal caused by the interference of the laser beams between the local and far ... More

Site Disordered Spin Systems in the Gaussian Variational ApproximationJun 06 1996Dec 16 1996We define a replica field theory describing finite dimensional site disordered spin systems by introducing the notion of grand canonical disorder, where the number of spins in the system is random but quenched. A general analysis of this field theory ... More

Splitting cycles in graphsApr 26 2012The goal of this paper is to describe a sufficient condition on cycles in graphs for which the edge ideal is splittable. We give an explicit splitting function for such ideals.

A simple estimate of gravitational wave memory in binary black hole systemsMay 21 2016Aug 04 2016A simple estimate is given of gravitational wave memory for the inspiral and merger of a binary black hole system. Here the memory is proportional to the total energy radiated and has a simple angular dependence. This estimate might be helpful as a consistency ... More

Mirror symmetry for the Landau-Ginzburg A-model $M=\mathbb C^n, W=z_1 \cdots z_n$Jan 12 2016Oct 06 2016We calculate the category of branes in the Landau-Ginzburg A-model with background $M=\mathbb C^n$ and superpotential $W=z_1 \cdots z_n$ in the form of microlocal sheaves along a natural Lagrangian skeleton. Our arguments employ the framework of perverse ... More

A combinatorial calculation of the Landau-Ginzburg model $M= \mathbb C^3, W=z_1 z_2 z_3$Jul 31 2015The aim of this paper is to apply ideas from the study of Legendrian singularities to a specific example of interest within mirror symmetry. We calculate the Landau-Ginzburg $A$-model with $M= \mathbb C^3, W=z_1 z_2 z_3$ in its guise as microlocal sheaves ... More

Comments on Ionization Cooling Channel CharacteristicsDec 04 2013Jul 02 2014Ionization cooling channels with a wide variety of characteristics and cooling properties are being developed. These channels can produce cooling performances that are largely consistent with the ionization cooling theory developed previously. In this ... More

Acceleration for the mu-Storage Ring Neutrino SourceAug 02 2000Aug 14 2000A muon storage ring neutrino source uses an induction linac for muon capture, a 200 MHz copper cavity system for cooling, and 200 and 400 MHz superconducting rf systems for acceleration to a final energy of up to 50 GeV. These systems and their requirements ... More

New Approaches to Final CoolingFeb 09 2015A high-energy muon collider scenario requires a "final cooling" system that reduces transverse emittance by a factor of ~10 while allowing longitudinal emittance increase. The baseline approach has low-energy transverse cooling within high-field solenoids, ... More

Remarks on the nonequivariant coherent-constructible correspondence for toric varietiesJun 30 2010We prove the following result of Bondal's: that there is a fully faithful embedding $\kappa$ of the perfect derived category of a proper toric variety into the derived category of constructible sheaves on a compact torus. We compare this result to a torus-equivariant ... More

Top Quark Production and Decay at the TevatronJun 02 1997Recent measurements of the top quark production cross section and decay properties by the CDF and D0 experiments are described. The cross section has been measured in dilepton, lepton plus jets, and all-hadronic final states, and a measurement of $BR(t ... More

A Cautionary Note on the Thermal Boundary Layer Similarity Scaling for the Turbulent Boundary LayerMar 24 2016Wang and Castillo have developed empirical parameters for scaling the temperature profile of the turbulent boundary layer flowing over a heated wall in the paper X. Wang and L. Castillo, J. Turbul., 4, 1(2003). They presented experimental data plots that ... More

Cryptographic NatureMay 07 2015I consider the many ways in which evolved information-flows are restricted and metabolic resources protected and hidden -- the thesis of living phenomena as evolutionary cryptosystems. I present the information theory of secrecy systems and discuss mechanisms ... More

Scattering theory and deformations of asymptotically hyperbolic metricsNov 20 1997For an asymptotically hyperbolic metric on the interior of a compact manifold with boundary, we prove that the resolvent and scattering operators are continuous functions of the metric in the appropriate topologies.

Absence of Observed Unspeakably Large Black Holes Tells Us the Curvature of SpaceApr 30 2015Using black-hole arguments with widely accepted premises, we show that it is extremely improbable that space is Euclidean, and that it is unspeakably improbable that space is hyperbolic. Independently, using an argument which makes no appeal to black ... More

The Geobiology of Weathering: a 13th HypothesisSep 14 2015The magnitude of the biotic enhancement of weathering (BEW) has profound implications for the long-term carbon cycle. The BEW ratio is defined as how much faster the silicate weathering carbon sink is under biotic conditions than under abiotic conditions ... More

On Adjoint and Brain FunctorsAug 17 2015There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object ... More

Automatic Error Detection in Part of Speech TaggingOct 21 1994A technique for detecting errors made by Hidden Markov Model taggers is described, based on comparing observable values of the tagging process with a threshold. The resulting approach allows the accuracy of the tagger to be improved by accepting a lower ... More

Gabor Wavelets in Image ProcessingFeb 10 2016This work shows the use of a two-dimensional Gabor wavelets in image processing. Convolution with such a two-dimensional wavelet can be separated into two series of one-dimensional ones. The key idea of this work is to utilize a Gabor wavelet as a multiscale ... More

Natural Ordering and Uniform Tidal Effects in Globally Coupled Phase Oscillator ModelsJun 16 2015Globally coupled phase oscillator models, such as the Kuramoto model, exhibit spontaneous collective synchronization. Such models can be restated in terms of interactions within and between subsets of oscillators. An approximation for the internal structure ... More

The Resonator Banjo Resonator, part 2: What makes them really crack?Jun 24 2015A simple experiment quantifies the difference between the sound production of a banjo with and without a resonator back. Driven by a small tweeter mounted inside the pot, for frequencies above about 4500 Hz, the produced external sound is 6 to 10 dB louder ... More

Sound Hole SoundMay 18 2015The volume of air that goes in and out of a musical instrument's sound hole is related to the sound hole's contribution to the volume of the sound. Helmholtz's result for the simplest case of steady flow through an elliptical hole is reviewed. Measurements ... More

Deformations of Annuli on Riemann surfaces with Smallest Mean DistortionMay 28 2010Aug 17 2010Let $A$ and $A'$ be two circular annuli and let $\rho$ be a radial metric defined in the annulus $A'$. Consider the class $\mathcal H_\rho$ of $\rho-$harmonic mappings between $A$ and $A'$. It is proved recently by Iwaniec, Kovalev and Onninen that, if ... More

Gauss map of a harmonic surfaceMar 08 2011We prove that the distortion function of the Gauss map of a harmonic surface coincides with the distortion function of the surface. Consequently, Gauss map of a harmonic surface is ${\mathcal{K}}$ quasiregular if and only if the surface is ${\mathcal{K}}$ ... More

Radial extension of a bi-Lipschitz parametrization of a starlike Jordan curveNov 23 2010Feb 19 2013In this paper we discus the radial extension $w$ of a bi-Lipschitz parameterization $F(e^{it})=f(t)$ of a starlike Jordan curve $\gamma$ w.r. to 0. We show that, if parameterization is bi-Lipschitz, then the extension is bi-Lipschitz and consequently ... More

Harmonic maps between annuli on Riemann surfacesMar 13 2010Let $\rho_\Sigma=h(|z|^2)$ be a metric in a Riemann surface $\Sigma$, where $h$ is a positive real function. Let $\mathcal H_{r_1}=\{w=f(z)\}$ be the family of univalent $\rho_\Sigma$ harmonic mapping of the Euclidean annulus $A(r_1,1):=\{z:r_1< |z| <1\}$ ... More

Criteria for the Absense and Existence of Arbitrage in Multidimensional Diffusion ModelsSep 06 2016We derive abstract as well as deterministic conditions for the absence and existence of free lunch with vanishing risk, arbitrage, generalized arbitrage, and unbounded profit with bounded risk in a general multidimensional diffusion framework. Moreover, ... More

Wronskian differential formula for k-confluent SUSY QMJun 02 2015Nov 17 2015The confluent SUSY QM usually involves a second-order SUSY transformation where the two factorization energies converge to a single value. In order to achieve it, one generally needs to solve an indefinite integral, which limits the actual systems to ... More

COMMENT ON THE KAMIOKANDE ATMOSPHERIC NEUTRINO DEFICITApr 19 1995I describe an attempt to understand the significance of the atmospheric neutrino deficit observed by the Kamiokande neutrino detector. In particular, I am concerned with the statistical significance quoted for the zenith-angle dependence of the deficit, ... More

Type Ia Supernovae: Spectroscopic SurprisesOct 23 2003Recent observations have extended the range of diversity among spectra of Type Ia supernovae. I briefly discuss SN Ia explosion models in the spectroscopic context, the observed diversity, and some recent results from direct analysis with the Synow code ... More

A Re-Examination of the Origins of the Peculiar Velocity Field Within the Local SuperclusterAug 30 1999The recent re-evaulation of the peculiar velocity field outside the Local Supercluster (Dekel et al. 1999, ApJ 522) has permitted a re-examination of the origins of the peculiar velocity field within the Local Supercluster using the Mark III Catalog of ... More

Two-enqueuer queue in Common2May 04 2008Apr 07 2009The question of whether all shared objects with consensus number 2 belong to Common2, the set of objects that can be implemented in a wait-free manner by any type of consensus number 2, was first posed by Herlihy. In the absence of general results, several ... More

Spin transport in nanocontacts and nanowiresDec 10 2007In this thesis we study electron transport through magnetic nanocontacts and nanowires with ab initio quantum transport calculations. The aim is to gain a thorough understanding of the interplay between electrical conduction and magnetism in atomic-size ... More

Bounding averages rigorously using semidefinite programming: mean moments of the Lorenz systemOct 17 2016Statements about dynamical systems can be proven by constructing functions with particular properties. The most widely known instance is studying nonlinear stability using Lyapunov functions. Here we prove bounds on infinite-time averages in dynamical ... More

Sofic measure entropy via finite partitionsNov 05 2011We give a generator-free formulation of sofic measure entropy using finite partitions and establish a Kolmogorov-Sinai theorem. We also show how to compute the values for general Bernoulli actions in a concise way using the arguments of Bowen in the finite ... More

Non-Convex Rank Minimization via an Empirical Bayesian ApproachJul 10 2012In many applications that require matrix solutions of minimal rank, the underlying cost function is non-convex leading to an intractable, NP-hard optimization problem. Consequently, the convex nuclear norm is frequently used as a surrogate penalty term ... More

Maximizing the Sum of Radii of Disjoint Balls or DisksJul 07 2016Finding nonoverlapping balls with given centers in any metric space, maximizing the sum of radii of the balls, can be expressed as a linear program. Its dual linear program expresses the problem of finding a minimum-weight set of cycles (allowing 2-cycles) ... More

Grid Minors in Damaged GridsMar 05 2013Nov 06 2013We prove upper and lower bounds on the size of the largest square grid graph that is a subgraph, minor, or shallow minor of a graph in the form of a larger square grid from which a specified number of vertices have been deleted. Our bounds are tight to ... More

Nonrepetitive Paths and Cycles in Graphs with Application to SudokuJul 20 2005We provide a simple linear time transformation from a directed or undirected graph with labeled edges to an unlabeled digraph, such that paths in the input graph in which no two consecutive edges have the same label correspond to paths in the transformed ... More

Improved Algorithms for 3-Coloring, 3-Edge-Coloring, and Constraint SatisfactionSep 13 2000We consider worst case time bounds for NP-complete problems including 3-SAT, 3-coloring, 3-edge-coloring, and 3-list-coloring. Our algorithms are based on a constraint satisfaction (CSP) formulation of these problems; 3-SAT is equivalent to (2,3)-CSP ... More

Graph-Theoretic Solutions to Computational Geometry ProblemsAug 26 2009Many problems in computational geometry are not stated in graph-theoretic terms, but can be solved efficiently by constructing an auxiliary graph and performing a graph-theoretic algorithm on it. Often, the efficiency of the algorithm depends on the special ... More

Happy endings for flip graphsOct 15 2006Feb 04 2010We show that the triangulations of a finite point set form a flip graph that can be embedded isometrically into a hypercube, if and only if the point set has no empty convex pentagon. Point sets of this type include convex subsets of lattices, points ... More

Squarepants in a Tree: Sum of Subtree Clustering and Hyperbolic Pants DecompositionApr 09 2006Feb 25 2008We provide efficient constant factor approximation algorithms for the problems of finding a hierarchical clustering of a point set in any metric space, minimizing the sum of minimimum spanning tree lengths within each cluster, and in the hyperbolic or ... More

Testing Bipartiteness of Geometric Intersection GraphsJul 09 2003Nov 16 2007We show how to test the bipartiteness of an intersection graph of n line segments or simple polygons in the plane, or of balls in R^d, in time O(n log n). More generally we find subquadratic algorithms for connectivity and bipartiteness testing of intersection ... More

Hinged Kite Mirror DissectionJun 13 2001Any two polygons of equal area can be partitioned into congruent sets of polygonal pieces, and in many cases one can connect the pieces by flexible hinges while still allowing the connected set to form both polygons. However it is open whether such a ... More

Rapid Development of Morphological Descriptions for Full Language Processing SystemsFeb 08 1995I describe a compiler and development environment for feature-augmented two-level morphology rules integrated into a full NLP system. The compiler is optimized for a class of languages including many or most European ones, and for rapid development and ... More

The High Redshift Universe with Adaptive Optics: Recent results from CFHTJan 09 1998The CFHT Adaptive Optics Bonnette (AOB) has been used to obtain high spatial resolution (0.1") observations of several extragalactic targets including the nuclei of nearby galaxies, high redshift galaxies, AGN, radiogalaxies, the host galaxies of quasars ... More

Geometric invariant theory and moduli spaces of mapsFeb 02 2004Jun 11 2007The results of this paper have been subsumed by the paper "A geometric invariant theory construction of spaces of stable maps," Elizabeth Baldwin and David Swinarski, arXiv:0706.1381

Prospects for bounds on electroweak and Higgs observables via scaling effectsMay 15 2014In these proceedings we briefly review the basic concepts underlying indirect bounds on the Wilson coefficients of some Standard Model dimension-6 operators, relevant to electroweak and Higgs observables, obtained via renormalization group (RG) mixing ... More

Equivariant autoequivalences for finite group actionsAug 30 2005The familiar Fourier-Mukai technique can be extended to an equivariant setting where a finite group $G$ acts on a smooth projective variety $X$. In this paper we compare the group of invariant autoequivalences $\Aut(D(X))^G$ with the group of autoequivalences ... More

The Rise of the VulcansAug 21 2008In this introductory review presented at the IAU Symposium 253 "Transiting Planets", I summarize the path from the initial 1995 radial-velocity discovery of hot Jupiters to the current rich panoply of investigations that are afforded when such objects ... More

HD 209458 and the Power of the Dark SideSep 24 2002The rich wealth of observational data, and matching theoretical investigations, of the transiting planet of HD209458 stands in sharp contrast to systems for which only the radial velocity orbit is known. In this paper, I summarize the current status of ... More

Geometric phases in quantum control disturbed by classical stochastic processesAug 01 2012We describe the geometric (Berry) phases arising when some quantum systems are driven by control classical parameters but also by outer classical stochastic processes (as for example classical noises). The total geometric phase is then divided into an ... More

Holonomy of a principal composite bundle connection, non-abelian geometric phases and gauge theory of gravityMar 24 2010Jul 19 2010We show that the holonomy of a connection defined on a principal composite bundle is related by a non-abelian Stokes theorem to the composition of the holonomies associated with the connections of the component bundles of the composite. We apply this ... More

Mid and Far Infrared Surveys with ISONov 04 1999We present the results of the extragalactic surveys performed at 15 and 175 microns using the ISOCAM and ISOPHOT instruments on-board the Infrared Space Observatory (ISO). The number counts at both wavelengths present a strong evolution. The preliminary ... More

$N$-representability in non-collinear spin-polarized density functional theoryJun 29 2013Dec 09 2013The $N$-representability problem for non-collinear spin-polarized densities was left open in the pioneering work of von Barth and Hedin setting up the Kohn-Sham density functional theory for magnetic compounds. In this letter, we demonstrate that, contrarily ... More

Ultraheavy Element Enrichment in Impulsive Solar FlaresMay 05 2016Particle acceleration by cascading Alfven wave turbulence was suggested (Eichler, 1979b) as being responsible for energetic particle populations in $^3$He-rich solar flares. In particular, it was noted that the damping of the turbulence by the tail of ... More

Photon Pickup by Intense Poynting FlowsNov 18 2003It is suggested that a Poynting flux-dominated outflow with a sufficiently strong magnetic field can pick up hard X-ray photons when the magnetic field is of sufficient strength. The zeroth generation X-rays pair produce, and the pairs radiate extremely ... More

Standard GRB, Dirty Fireballs, and the Excluded MiddleFeb 03 2011It is shown that the contribution of faint gamma-ray bursts (GRB) to the total allsky GRB energy flux is small. The allsky flux of GRB appears to be $5.3 \times 10^{-3}$ erg/$\rm cm^2 y$, with little additional component hidden within weak or otherwise ... More

CP Violation in the B System: What's Old, What's New?Jun 28 1994I review the many ways of obtaining information about the CKM matrix through CP violation in the $B$ system. I include direct and indirect CP violation, the role of penguins and isospin analysis, tagging, and $B\to DK$ decays. I also discuss recent developments ... More

Laser cooling with ultrafast pulse trainsJun 14 2003We propose a new laser cooling method for atomic species whose level structure makes traditional laser cooling difficult. For instance, laser cooling of hydrogen requires vacuum-ultraviolet laser light, while multielectron atoms need laser light at many ... More

Using Gravitational Waves to put limits on Primordial Magnetic FieldsAug 02 2016We describe a technique for using simulated tensor perturbations in order to place upper limits on the intensity of magnetic fields in the early universe. As an example, we apply this technique to the beginning of primordial nucleosynthesis. We determined ... More

Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective SpaceNov 14 2008The primary goal of this paper is to find a homotopy theoretic approximation to moduli spaces of holomorphic maps Riemann surfaces into complex projective space. There is a similar treatment of a partial compactification of these moduli spaces of consisting ... More

Cosmological Time Dilation in Gamma Ray Bursts?Jul 01 1994Norris et al. (1994) report that the temporal structure of faint gamma ray bursts is longer than that of bright bursts, as expected for time dilation in the cosmological models of burst origin. I show that the observed trends can easily be produced by ... More

A Study of Hadronic Backgrounds to Isolated Hard Photon Production with L3May 24 1995I describe two methods for studying hadronic backgrounds to prompt photon production with L3, and compare the observed background rates with Monte Carlo predictions. I find that the Monte Carlo models JETSET and HERWIG underestimate the production of ... More

A quantified Tauberian theorem for sequencesApr 02 2015The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of decay of such a sequence in terms of the behaviour of a certain boundary ... More

Rates of decay in the classical Katznelson-Tzafriri theoremOct 06 2014Given a power-bounded operator $T$, the theorem of Katznelson and Tzafriri states that $\|T^n(I-T)\|\to0$ as $n\to\infty$ if and only if the spectrum $\sigma(T)$ of $T$ intersects the unit circle $\mathbb{T}$ in at most the point 1. This paper investigates ... More

Macroscopic ObservablesMar 29 2004Jun 01 2004We study macroscopic observables defined as the total value of a physical quantity over a collection of quantum systems. We show that previous results obtained for infinite ensemble of identically prepared systems lead to incorrect conclusions for finite ... More

A sequence of triangle-free pseudorandom graphsFeb 11 2016Aug 03 2016A construction of Alon yields a sequence of highly pseudorandom triangle-free graphs with edge density significantly higher than one might expect from comparison with random graphs. We give an alternative construction for such graphs.

Scaling with no phase transitionDec 21 1994The observation of scaling relations in ultra-relativistic nuclear collisions would not by itself signal that the hot matter produced in these collisions has passed through a phase transition.

Heavy Resonance Production in Ultrarelativistic Nuclear CollisionsMar 15 1995Are heavy quarks produced thermally or only by hard parton collisions? What is the probability that a produced heavy quark or antiquark is observed in a given resonance?

Frequency Distribution of Error MessagesSep 24 2015Which programming error messages are the most common? We investigate this question, motivated by writing error explanations for novices. We consider large data sets in Python and Java that include both syntax and run-time errors. In both data sets, after ... More

Optimal Quantum Circuits for Nearest-Neighbor ArchitecturesApr 30 2012May 08 2013We show that the depth of quantum circuits in the realistic architecture where a classical controller determines which local interactions to apply on the kD grid Z^k where k >= 2 is the same (up to a constant factor) as in the standard model where arbitrary ... More

Estimation of drift and diffusion functions from time series data: A maximum likelihood frameworkOct 06 2011Jan 31 2012Complex systems are characterized by a huge number of degrees of freedom often interacting in a non-linear manner. In many cases macroscopic states, however, can be characterized by a small number of order parameters that obey stochastic dynamics in time. ... More

Multiple geodesics with the same directionApr 07 2011The directed last-passage percolation (LPP) model with independent exponential times is considered. We complete the study of asymptotic directions of infinite geodesics, started by Ferrari and Pimentel \cite{FP}. In particular, using a recent result of ... More

Geography of local configurationsJul 19 2007Oct 12 2010A $d$-dimensional binary Markov random field on a lattice torus is considered. As the size $n$ of the lattice tends to infinity, potentials $a=a(n)$ and $b=b(n)$ depend on $n$. Precise bounds for the probability for local configurations to occur in a ... 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

More problems for Newtonian cosmologyApr 12 2016I point out a radical indeterminism in potential-based formulations of Newtonian gravity once we drop the condition that the potential vanishes at infinity (as is necessary, and indeed celebrated, in cosmological applications). This indeterminism, which ... More

A formal proof of the Born rule from decision-theoretic assumptionsJun 15 2009I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum mechanics. I sketch the argument informally, then prove it formally, ... More

Worlds in the Everett InterpretationMar 16 2001This is a discussion of how we can understand the world-view given to us by the Everett interpretation of quantum mechanics, and in particular the role played by the concept of `world'. The view presented is that we are entitled to use `many-worlds' terminology ... More

On the response of a particle detector in Anti-de Sitter spacetimeAug 12 2010We consider the vacuum response of a particle detector in Anti-de Sitter spacetime, and in particular analyze how spacetime features such as curvature and dimensionality affect the response spectrum of an accelerated detector. We calculate useful limits ... More

The Hardy inequality and the heat flow in curved wedgesJul 13 2015Jan 19 2016We show that the polynomial decay rate of the heat semigroup of the Dirichlet Laplacian in curved planar wedges equals the sum of the usual dimensional decay rate and a multiple of the reciprocal value of the opening angle. To prove the result, we develop ... More

Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditionsNov 11 2013We consider the Laplacian in a domain squeezed between two parallel hypersurfaces in Euclidean spaces of any dimension, subject to Dirichlet boundary conditions on one of the hypersurfaces and Neumann boundary conditions on the other. We derive two-term ... More

Covariant Irreducible Parametrization of Electromagnetic Fields in Arbitrary SpacetimeAug 18 2005Jan 02 2006We present a new unified covariant description of electromagnetic field properties for an arbitrary space-time. We derive a complete set of irreducible components describing a six-dimensional electromagnetic field from the Maxwell and metric tensors using ... More

NS5-Branes, T-Duality and Worldsheet InstantonsApr 23 2002Jun 30 2003The equivalence of NS5-branes and ALF spaces under T-duality is well known. However, a naive application of T-duality transforms the ALF space into a smeared NS5-brane, de-localized on the dual, transverse, circle. In this paper we re-examine this duality, ... More

Monopoles in the Higgs PhaseJul 31 2003Aug 14 2003We describe new solutions of Yang-Mills-Higgs theories consisting of magnetic monopoles in a phase with fully broken gauge symmetry. Rather than spreading out radially, the magnetic field lines form flux tubes. The solution is topologically stable and, ... More