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Millisecond Pulsars and Black Holes in Globular ClustersFeb 15 2019Over a hundred millisecond radio pulsars (MSPs) have been observed in globular clusters (GCs), motivating theoretical studies of the formation and evolution of these sources through stellar evolution coupled to stellar dynamics. Here we study MSPs in ... More

Thermodynamics of a Simple Three-Dimensional DNA Hairpin ModelJun 23 2016We characterize the equation of state for a simple three-dimensional DNA hairpin model using a Metropolis Monte Carlo algorithm. This algorithm was run at constant temperature and fixed separation between the terminal ends of the strand. From the equation ... More

Long-term evolution of double white dwarf binaries accreting through direct impactFeb 21 2015Apr 22 2015We calculate the long-term evolution of angular momentum in double white dwarf binaries undergoing direct impact accretion over a broad range of parameter space. We allow the rotation rate of both components to vary, and account for the exchange of angular ... More

Astro2020 Decadal Science White Paper: Gravitational Wave Survey of Galactic Ultra Compact BinariesMar 13 2019Ultra-compact binaries (UCBs) are systems containing compact or degenerate stars with orbital periods less than one hour. Tens of millions of UCBs are predicted to exist within theGalaxy emitting gravitational waves (GWs) at mHz frequencies. Combining ... More

Spin Tilts in the Double Pulsar Reveal Supernova Spin Angular-Momentum ProductionApr 26 2011Oct 30 2011The system PSR J0737-3039 is the only binary pulsar known to consist of two radio pulsars (PSR J0737-3039 A and PSR J0737-3039 B). This unique configuration allows measurements of spin orientation for both pulsars: pulsar A's spin is tilted from the orbital ... More

Accreting black hole binaries in globular clustersSep 16 2017Oct 31 2017We explore the formation of mass-transferring binary systems containing black holes within globular clusters. We show that it is possible to form mass-transferring black hole binaries with main sequence, giant, and white dwarf companions with a variety ... More

Low-mass X-ray binaries ejected from globular clustersFeb 13 2018We explore the population of mass-transferring binaries ejected from globular clusters (GCs) with both black hole (BH) and neutron star (NS) accretors. We use a set of 137 fully evolved globular cluster models which span a large range in cluster properties ... More

Diffusion of relativistic gas mixtures in gravitational fieldsMar 26 2013A mixture of relativistic gases of non-disparate rest masses in a Schwarzschild metric is studied on the basis of a relativistic Boltzmann equation in the presence of gravitational fields. A BGK-type model equation of the collision operator of the Boltzmann ... More

Analysis of Jeans instability from the Boltzmann equationAug 28 2015Oct 25 2016The dynamics of self-gravitating fluids is analyzed within the framework of a collisionless Boltzmann equation in the presence of gravitational fields and Poisson equation. Two cases are analyzed: a system with baryonic and dark matter in a static universe ... More

Entropy, entropy flux and entropy supply rate of granular fluidsJan 14 2010Apr 05 2010The aim of this work is to analyze the entropy, entropy flux and entropy supply rate of granular fluids within the frameworks of the Boltzmann equation and continuum thermodynamics. It is shown that the entropy inequality for a granular gas that follows ... More

A Contribution to the Theory Behind the M0 Capture-Recapture Model: An Improved EstimatorDec 10 2012Feb 17 2014We explore the use of a sufficient statistic based on the identified members that are obtained for samples that are selected under the $M_0$ capture-recapture closed population model (Schwarz and Seber, 1999). A Rao-Blackwellized version of the estimator ... More

Lattice-induced non-adiabatic frequency shifts in optical lattice clocksAug 30 2010We consider the frequency shift in optical lattice clocks which arises from the coupling of the electronic motion to the atomic motion within the lattice. For the simplest of 3-D lattice geometries this coupling is shown to only affect clocks based on ... More

Explicit Salem sets and applications to metrical Diophantine approximationApr 01 2016Let $Q$ be an infinite subset of $\mathbb{Z}$, let $\Psi: \mathbb{Z} \rightarrow [0,\infty)$ be positive on $Q$, and let $\theta \in \mathbb{R}$. Define $$ E(Q,\Psi,\theta) = \{ x \in \mathbb{R} : \| q x - \theta \| \leq \Psi(q) \text{ for infinitely ... More

Statistical Challenges for Searches for New Physics at the LHCNov 03 2005Jan 04 2006Because the emphasis of the LHC is on 5 sigma discoveries and the LHC environment induces high systematic errors, many of the common statistical procedures used in High Energy Physics are not adequate. I review the basic ingredients of LHC searches, the ... More

Conformal dimension and boundaries of planar domainsJul 16 2015Jun 14 2016Building off of techniques that were recently developed by M. Carrasco, S. Keith, and B. Kleiner to study the conformal dimension of boundaries of hyperbolic groups, we prove that uniformly perfect boundaries of John domains in the Riemann sphere have ... More

Lower bounds for codimension-1 measure in metric manifoldsFeb 20 2016We establish Euclidean-type lower bounds for the codimension-1 Hausdorff measure of sets that separate points in doubling and linearly locally contractible metric manifolds. This gives a quantitative topological isoperimetric inequality in the setting ... More

Quark Matter Induced Extensive Air ShowersNov 15 2010May 03 2011If the dark matter of our galaxy is composed of nuggets of quarks or antiquarks in a colour superconducting phase there will be a small but non-zero flux of these objects through the Earth's atmosphere. A nugget of quark matter will deposit only a small ... More

Complex Random Matrices have no Real EigenvaluesSep 24 2016Let $\zeta = \xi + i\xi'$ where $\xi, \xi'$ are iid copies of a mean zero, variance one, subgaussian random variable. Let $N_n$ be a $n \times n$ random matrix with iid entries $\zeta_{ij} = \zeta$. We prove that there exists a $c \in (0,1)$ such that ... More

Shortest Non-trivial Cycles in Directed and Undirected Surface GraphsNov 29 2011Sep 19 2012Let G be a graph embedded on a surface of genus g with b boundary cycles. We describe algorithms to compute multiple types of non-trivial cycles in G, using different techniques depending on whether or not G is an undirected graph. If G is undirected, ... More

Upper Bounds for Maximally Greedy Binary Search TreesFeb 24 2011Apr 29 2011At SODA 2009, Demaine et al. presented a novel connection between binary search trees (BSTs) and subsets of points on the plane. This connection was independently discovered by Derryberry et al. As part of their results, Demaine et al. considered GreedyFuture, ... More

Rigidity for Quasi-Möbius Actions on Fractal Metric SpacesAug 02 2013Jan 15 2016In \cite{BK02}, M. Bonk and B. Kleiner proved a rigidity theorem for expanding quasi-M\"obius group actions on Ahlfors $n$-regular metric spaces with topological dimension $n$. This led naturally to a rigidity result for quasi-convex geometric actions ... More

$2^3$ Quantified Boolean Formula Games and Their ComplexitiesJan 15 2014Dec 29 2014Consider QBF, the Quantified Boolean Formula problem, as a combinatorial game ruleset. The problem is rephrased as determining the winner of the game where two opposing players take turns assigning values to boolean variables. In this paper, three common ... More

Gallai MultigraphsJun 30 2007A complete edge-colored graph or multigraph is called Gallai if it lacks rainbow triangles. We give a construction of all finite Gallai multigraphs.

An ergodic algorithm for generating knots with a prescribed injectivity radiusMar 09 2016May 08 2017The first algorithm for sampling the space of thick equilateral knots, as a function of thickness, will be described. This algorithm is based on previous algorithms of applying random reflections. To prove the existence of the algorithm, we describe a ... More

Rao-Blackwellization to give Improved Estimates in Multi-List StudiesSep 26 2017Sufficient statistics are derived for the population size and parameters of commonly used closed population mark-recapture models. Rao-Blackwellization details for improving estimators that are not functions of the statistics are presented. As Rao-Blackwellization ... More

A Contribution to the Theory Behind the M0 Capture-Recapture Model: An Improved EstimatorDec 10 2012Nov 28 2018We explore the use of a sufficient statistic based on the identified members that are obtained for samples that are selected under the $M_0$ capture-recapture closed population model (Schwarz and Seber, 1999). A Rao-Blackwellized version of the estimator ... More

Recent Advances on Estimating Population Size with Link-Tracing SamplingSep 22 2017A new approach to estimate population size based on a stratified link-tracing sampling design is presented. The method extends on the Frank and Snijders (1994) approach by allowing for heterogeneity in the initial sample selection procedure. Rao-Blackwell ... More

Legendrian ribbons and strongly quasipositive links in an open bookOct 17 2017We show that a link in an open book can be realized as a strongly quasipositive braid if and only if it bounds a Legendrian ribbon with respect to the associated contact structure. This generalizes a result due to Baader and Ishikawa for links in the ... More

Discrete length-volume inequalities and lower volume bounds in metric spacesOct 21 2014Feb 22 2016A theorem of W. Derrick ensures that the volume of any Riemannian cube $([0,1]^n,g)$ is bounded below by the product of the distances between opposite codimension-1 faces. In this paper, we establish a discrete analog of Derrick's inequality for weighted ... More

Relative Entropy of a Freely Cooling Granular GasJul 06 2012Nov 30 2012The time evolution and stationary values of the entropy per particle of a homogeneous freely cooling granular gas, relative to the maximum entropy consistent with the instantaneous translational and rotational temperatures, is analyzed by means of a Sonine ... More

Discreteness and Large Scale SurjectionsAug 12 2015We study the concept of coarse disjointness and large scale $n$-to-$1$ functions. As a byproduct, we obtain an Ostrand-type characterization of asymptotic dimension for coarse structures. It is shown that properties like finite asymptotic dimension, coarse ... More

Loewner chains and Hölder geometryOct 21 2014Feb 22 2016The Loewner equation provides a correspondence between continuous real-valued functions $\lambda_t$ and certain increasing families of half-plane hulls $K_t$. In this paper we study the deterministic relationship between specific analytic properties of ... More

Upward and Downward Runs on Partially Ordered SetsOct 13 2008Apr 06 2010We consider Markov chains on partially ordered sets that generalize the success-runs and remaining life chains in reliability theory. We find conditions for recurrence and transience and give simple expressions for the invariant distributions. We study ... More

Stellar structure model in hydrostatic equilibrium in the context of $f(\mathcal{R})$-gravityJul 24 2017Aug 26 2017In this work we present a stellar structure model from $f(\mathcal{R})$-gravity point of view capable to describe some classes of stars (White Dwarfs, Brown Dwarfs, Neutron stars, Red Giants and the Sun). This model was based on $f(\mathcal{R})$-gravity ... More

Transport coefficients for relativistic gas mixtures of hard-sphere particlesDec 13 2016In the present work, we calculate the transport coefficients for a relativistic binary mixture of diluted gases of hard-sphere particles. The gas mixture under consideration is studied within the relativistic Boltzmann equation in the presence of a gravitational ... More

Relative Entropy of a Freely Cooling Granular GasJul 06 2012Sep 07 2018The time evolution and stationary values of the entropy per particle of a homogeneous freely cooling granular gas, relative to the maximum entropy consistent with the instantaneous translational and rotational temperatures, is analyzed by means of a Sonine ... More

Stable Adiabatic Times For A Continuous Evolution Of Markov ChainsJul 22 2015This paper continues the discussion on the stability of time-inhomogeneous Markov chains. In particular, this paper defines a time-inhomogeneous, discrete-time Markov chain governed by a continuous evolution in the appropriate martrix space. This matrix ... More

Digital Arroyos: An Examination of State Policy and Regulated Market Boundaries in Constructing Rural Internet AccessSep 25 2001This focused study on state-level policy and access patterns contributes to a fuller understanding of how these invisible barriers work to structure access and define rural communities. Combining both quantitative and qualitative data, this study examines ... More

"Cosmic Rays" from Quark MatterJun 04 2010Nov 30 2010I describe a dark matter candidate based in qcd physics in which the dark matter is composed of macroscopically large "nuggets" of quark and anti-quark matter. These objects may have a sufficiently massive low number density to avoid constraints from ... More

A sufficient condition for finiteness of Frobenius test exponentsSep 26 2018Nov 05 2018The Frobenius test exponent $\operatorname{Fte}(R)$ of a local ring $(R,\mathfrak{m})$ of prime characteristic $p > 0$ is the smallest $e_0 \in \mathbb{N}$ such that for every ideal $\mathfrak{q}$ generated by a (full) system of parameters, the Frobenius ... More

In Search of the Thermal Eccentricity DistributionJan 31 2019About a century ago, Jeans (1919) discovered that if binary stars reach a state approximating energy equipartition, for example through many dynamical encounters that exchange energy, their eccentricity distribution can be described by : dN/de = 2e. This ... More

LISA sources in Milky Way globular clustersFeb 15 2018May 30 2018We explore the formation of double-compact-object binaries in Milky Way (MW) globular clusters (GCs) that may be detectable by the Laser Interferometer Space Antenna (LISA). We use a set of 137 fully evolved GC models that, overall, effectively match ... More

How initial size governs core collapse in globular clustersAug 07 2018Dec 03 2018Globular clusters (GCs) in the Milky Way exhibit a well-observed bimodal distribution in core radii separating the so-called "core-collapsed" and "non-core-collapsed" clusters. Here, we use our H\'enon-type Monte Carlo code, CMC, to explore initial cluster ... More

How black holes shape globular clusters: Modeling NGC 3201Feb 26 2018Numerical simulations have shown that black holes (BHs) can strongly influence the evolution and present-day observational properties of globular clusters (GCs). Using a Monte Carlo code, we construct GC models that match the Milky Way (MW) cluster NGC ... More

Jif: Language-based Information-flow Security in JavaDec 30 2014In this report, we examine Jif, a Java extension which augments the language with features related to security. Jif adds support for security labels to Java's type system such that the developer can specify confidentiality and integrity policies to the ... More

Equivariant Solutions to a System of Nonlinear Wave Equations with Ginzburg-Landau Type PotentialJan 11 2016It is known that there exist solutions with interfaces to various scalar nonlinear wave equations. In this paper, we look for solutions of a two-component system of nonlinear wave equations where one of the components has an interface and and where the ... More

An ergodic algorithm for generating knots with a prescribed injectivity radiusMar 09 2016The first algorithm for sampling the space of thick equilateral knots, as a function of thickness, will be described. This algorithm is based on previous algorithms of applying random reflections. To prove the existence of the algorithm, we describe a ... More

Atmospheric Radio Signals From Galactic Dark MatterJul 31 2012Sep 17 2013If the dark matter of our galaxy is composed of nuggets of quarks or antiquarks in a colour superconducting phase there will be a small but non-zero flux of these objects through the Earth's atmosphere. A nugget of quark matter will deposit only a small ... More

Explicit Salem Sets in $\mathbb{R}^2$May 26 2016Sep 30 2016We construct explicit (i.e., non-random) examples of Salem sets in $\mathbb{R}^2$ of dimension $s$ for every $0 \leq s \leq 2$. In particular, we give the first explicit examples of Salem sets in $\mathbb{R}^2$ of dimension $0 < s < 1$. This extends a ... More

Products of all elements in a loop and a framework for non-associative analogues of the Hall-Paige conjectureAug 04 2010For a finite loop $Q$, let $P (Q)$ be the set of elements that can be represented as a product containing each element of $Q$ precisely once. Motivated by the recent proof of the Hall-Paige conjecture, we prove several universal implications between the ... More

Constant Rate Distributions on Partially Ordered SetsOct 13 2008Apr 06 2010We consider probability distributions with constant rate on partially ordered sets, generalizing distributions in the usual reliability setting that have constant failure rate. In spite of the minimal algebraic structure, there is a surprisingly rich ... More

Loop-Erased Random SurfacesNov 16 2015Jul 13 2016Loop-erased random walk and it's scaling limit, Schramm--Loewner evolution, have found numerous applications in mathematics and physics. We present a 2 dimensional analogue of LERW, the loop erased random surface. We do this by defining a 2 dimensional ... More

On the Sobolev stability threshold of 3D Couette flow in a homogeneous magnetic fieldDec 30 2018We study the stability of the Couette flow $(y,0,0)^T$ in the 3D incompressible magnetohydrodynamic (MHD) equations for a conducting fluid on $\mathbb{T} \times \mathbb{R} \times \mathbb{T} $ in the presence of a homogeneous magnetic field $\alpha(\sigma, ... More

A Contribution to the Theory Behind the Capture-Recapture M0 Model: An Improved EstimatorNov 21 2012Nov 28 2018We explore the use of a sufficient statistic based on the data of samples that are selected under the M_0 capture-recapture closed population model (Schwarz and Seber, 1999). A Rao-Blackwellized version of the estimator based on a sufficient statistic ... More

Lower bounds for codimension-1 measure in metric manifoldsFeb 20 2016Oct 21 2016We establish Euclidean-type lower bounds for the codimension-1 Hausdorff measure of sets that separate points in doubling and linearly locally contractible metric manifolds. This gives a quantitative topological isoperimetric inequality in the setting ... More

Minimal braid representatives of quasipositive linksMay 05 2016We show that every quasipositive link has a quasipositive minimal braid representative, partially resolving a question posed by Orevkov. These quasipositive minimal braids are used to show that the maximal self-linking number of a quasipositive link is ... More

Cross-sections of unknotted ribbon disks and algebraic curvesJan 16 2018Feb 28 2018We resolve parts (A) and (B) of Problem 1.100 from Kirby's list by showing that many nontrivial links arise as cross-sections of unknotted holomorphic disks in the four-ball. The techniques can be used to produce unknotted ribbon surfaces with prescribed ... More

Ground state of two unlike charged colloids: An analogy with ionic bondingJun 30 2000Sep 12 2001In this letter, we study the ground state of two spherical macroions of identical radius, but asymmetric bare charge ((Q_{A}>Q_{B})). Electroneutrality of the system is insured by the presence of the surrounding divalent counterions. Using Molecular Dynamics ... More

Like-Charge Colloid-Polyelectrolyte ComplexationJan 28 2002We investigate the complexation of a highly charged sphere with a long flexible polyelectrolyte, \textit{both negatively charged} in salt free environment. Electroneutrality is insured by the presence of divalent counterions. Using molecular dynamics ... More

A multi-resolution model to capture both global fluctuations of an enzyme and molecular recognition in the ligand-binding siteNov 02 2016In multi-resolution simulations, different system components are simultaneously modelled at different levels of resolution, these being smoothly coupled together. In the case of enzyme systems, computationally expensive atomistic detail is needed in the ... More

Chaplygin Gas of Tachyon Nature Imposed by Symmetry and Constrained via H(z) DataMay 03 2015Sep 10 2015An action of general form is proposed for a Universe containing matter, radiation and dark energy. The latter is interpreted as a tachyon field non-minimally coupled to the scalar curvature. The Palatini approach is used when varying the action so the ... More

Energy production rates in fluid mixtures of inelastic rough hard spheresOct 29 2009Jul 16 2010The aim of this work is to explore the combined effect of polydispersity and roughness on the partial energy production rates and on the total cooling rate of a granular fluid mixture. We consider a mixture of inelastic rough hard spheres of different ... More

Fokker-Planck type equations for a simple gas and for a semi-relativistic Brownian motion from a relativistic kinetic theoryJul 13 2007A covariant Fokker-Planck type equation for a simple gas and an equation for the Brownian motion are derived from a relativistic kinetic theory based on the Boltzmann equation. For the simple gas the dynamic friction four-vector and the diffusion tensor ... More

Primordial scalar perturbations in tachyonic power-law inflationJan 20 2013Jan 31 2014In this work we determine the power spectrum of the gravitational potential of the primordial fluctuations for an inflationary model whose \emph{inflaton} is a non-canonical scalar field of the tachyon-type. The respective background field equations for ... More

Bulk viscous cosmological model with interacting dark fluidsSep 23 2011The objective of the present work is to study a cosmological model for a spatially flat Universe whose constituents are a dark energy field and a matter field which includes baryons and dark matter. The constituents are supposed to be in interaction and ... More

Coupling atomistic and continuum hydrodynamics through a mesoscopic model: application to liquid waterAug 04 2009We have conducted a triple-scale simulation of liquid water by concurrently coupling atomistic, mesoscopic, and continuum models of the liquid. The presented triple-scale hydrodynamic solver for molecular liquids enables the insertion of large molecules ... More

Comparison of a Microgel Simulation to Poisson-Boltzmann TheoryMar 11 2009We have investigated a single charged microgel in aqueous solution with a combined simulational model and Poisson-Boltzmann theory. In the simulations we use a coarse-grained charged bead-spring model in a dielectric continuum, with explicit counterions ... More

Dynamic Tags for Security ProtocolsMay 12 2014Jun 17 2014The design and verification of cryptographic protocols is a notoriously difficult task, even in symbolic models which take an abstract view of cryptography. This is mainly due to the fact that protocols may interact with an arbitrary attacker which yields ... More

Strongly Charged, Flexible Polyelectrolytes in Poor Solvents -- Molecular Dynamics SimulationsDec 02 1998We present a set of molecular dynamics (MD) simulations of strongly charged, flexible polyelectrolyte chains under poor solvent conditions in a salt free solution. Structural properties of the chains and of the solutions are reported. By varying the polymer ... More

Statistical mechanics of double-stranded semi-flexible polymersMay 09 1997Jan 07 1998We study the statistical mechanics of double-stranded semi-flexible polymers using both analytical techniques and simulation. We find a transition at some finite temperature, from a type of short range order to a fundamentally different sort of short ... More

Theory of Cherenkov radiation in periodic dielectric media: Emission spectrumAug 26 2008Jan 07 2009The Cherenkov radiation is substantially modified in the presence of a medium with a nontrivial dispersion relation. We consider Cherenkov emission spectra of a point charge moving in general three- (3D) and two-dimensional (2D) photonic crystals. Exact ... More

Moments and ergodicity of the jump-diffusion CIR processSep 04 2017Jan 19 2018We study the jump-diffusion CIR process, which is an extension of the Cox-Ingersoll-Ross model and whose jumps are introduced by a subordinator. We provide sufficient conditions on the L\'evy measure of the subordinator under which the jump-diffusion ... More

Post-Newtonian Dynamics in Dense Star Clusters: Formation, Masses, and Merger Rates of Highly-Eccentric Black Hole BinariesNov 12 2018Nov 15 2018Using state-of-the-art dynamical simulations of globular clusters, including radiation reaction during black hole encounters and a cosmological model of star cluster formation, we create a realistic population of dynamically-formed binary black hole mergers ... More

Probing the Black Hole Merger History in Clusters using Stellar Tidal DisruptionsJan 09 2019The dynamical assembly of binary black holes (BBHs) in dense star clusters (SCs) is one of the most promising pathways for producing observable gravitational wave (GW) sources, however several other formation scenarios likely operate as well. One of the ... More

Ultrashort spatiotemporal optical solitons in quadratic nonlinear media: Generation of line and lump solitons from few-cycle input pulsesApr 11 2011By using a powerful reductive perturbation technique, or a multiscale analysis, a generic Kadomtsev-Petviashvili evolution equation governing the propagation of femtosecond spatiotemporal optical solitons in quadratic nonlinear media beyond the slowly ... More

Chain Diffusion in Lamellar Block CopolymersMay 28 1997Diffusion of symmetric diblock copolymer chains in macroscopically oriented lamellar block copolymers are studied in a molecular dynamics simulation. Results for diffusion constant both parallel $D_\parallel$ and perpendicular $D_\perp$ to the lamellar ... More

Adaptive molecular resolution via a continuous change of the phase space dimensionalitySep 01 2006For the study of complex synthetic and biological molecular systems by computer simulations one is still restricted to simple model systems or to by far too small time scales. To overcome this problem multiscale techniques are being developed for many ... More

Irreversible Processes in Inflationary Cosmological ModelsAug 15 2002By using the thermodynamic theory of irreversible processes and Einstein general relativity, a cosmological model is proposed where the early universe is considered as a mixture of a scalar field with a matter field. The scalar field refers to the inflaton ... More

Non-minimally coupled tachyon field with Noether symmetry under the Palatini approachNov 13 2014A model for a homogeneous, isotropic, flat Universe composed by dark energy and matter is investigated. Dark energy is considered to behave as a tachyon field, which is non-minimally coupled to gravity. The connection is treated as metric independent ... More

Analysis of the Reaction Rate Coefficients for Slow Bimolecular Chemical ReactionsMay 22 2012Simple bimolecular reactions $A_1+A_2\rightleftharpoons A_3+A_4$ are analyzed within the framework of the Boltzmann equation in the initial stage of a chemical reaction with the system far from chemical equilibrium. The Chapman-Enskog methodology is applied ... More

Palatini approach to 1/R gravity and its implications to the late UniverseApr 19 2004By applying the Palatini approach to the 1/R-gravity model it is possible to explain the present accelerated expansion of the Universe. Investigation of the late Universe limiting case shows that: (i) due to the curvature effects the energy-momentum tensor ... More

Exponential ergodicity of an affine two-factor model based on the $α$-root processJul 21 2016Aug 29 2016We study an affine two-factor model introduced by Barczy et al. (2014). One component of this two-dimensional model is the so-called $\alpha$-root process, which generalizes the well known CIR process. In this paper, we show that this affine two-factor ... More

Existence of limiting distribution for affine processesDec 13 2018In this paper, sufficient conditions are given for the existence of limiting distribution of a conservative affine process on the canonical state space $\mathbb{R}_{\geqslant0}^{m}\times\mathbb{R}^{n}$, where $m,\thinspace n\in\mathbb{Z}_{\geqslant0}$ ... More

Realizability of the Lorentzian (n,1)-SimplexOct 26 2011Jan 12 2012In a previous article [JHEP 1111 (2011) 072; arXiv:1108.4965] we have developed a Lorentzian version of the Quantum Regge Calculus in which the significant differences between simplices in Lorentzian signature and Euclidean signature are crucial. In this ... More

A Geometric Consideration of the Erdős-Straus ConjectureNov 13 2014Dec 08 2014In this paper we will explore the solutions to the diophantine equation in the Erd\H{o}s-Straus conjecture. For a prime $p$ we are discussing the relationship between the values $x,y,z \in \mathbb{N}$ so that $$ \frac{4}{p} = \frac{1}{x} + \frac{1}{y} ... More

Spontaneous supersymmetry breaking in the two-dimensional N=1 Wess-Zumino modelOct 24 2014We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on the lattice using Wilson fermions and the fermion loop formulation. We give a complete nonperturbative determination of the ground state structure in the continuum and infinite ... More

Trackability with Imprecise LocalizationDec 19 2013Imagine a tracking agent $P$ who wants to follow a moving target $Q$ in $d$-dimensional Euclidean space. The tracker has access to a noisy location sensor that reports an estimate $\tilde{Q}(t)$ of the target's true location $Q(t)$ at time $t$, where ... More

Enhancing Infrastructure Security in Real EstateNov 30 2015As a result of the increased dependency on obtaining information and connecting each computer together for ease of access or communication, organizations risk being attacked and losing private information through breaches or insecure business activities. ... More

RECAST: Extending the Impact of Existing AnalysesOct 12 2010Searches for new physics by experimental collaborations represent a significant investment in time and resources. Often these searches are sensitive to a broader class of models than they were originally designed to test. We aim to extend the impact of ... More

Frequentist Hypothesis Testing with Background UncertaintyOct 22 2003We consider the standard Neyman-Pearson hypothesis test of a signal-plus-background hypothesis and background-only hypothesis in the presence of uncertainty on the background-only prediction. Surprisingly, this problem has not been addressed in the recent ... More

An Explicit Formulation of the Earth Movers Distance with Continuous Road Map DistancesSep 27 2013Oct 14 2013The Earth movers distance (EMD) is a measure of distance between probability distributions which is at the heart of mass transportation theory. Recent research has shown that the EMD plays a crucial role in studying the potential impact of Demand-Responsive ... More

Knot concordance and homology sphere groupsMay 25 2016We study two homomorphisms to the rational homology sphere group. If $\beta$ denotes the homomorphism from the knot concordance group $\mathcal{C}$ defined by taking double branched covers of knots, we show that the kernel of $\beta$ is infinitely generated ... More

511 keV Line Emission from Nearby Spherical Dwarf GalaxiesNov 17 2016The observed galactic 511 keV line has been interpreted in a number of papers as a possible signal of dark matter annihilation within the galactic bulge. If this is the case then we should expect a similar spectral feature associated with nearby dwarf ... More

Which Partial Sums of the Taylor Series for $e$ are Convergents to $e$? (and a Link to the Primes 2, 5, 13, 37, 463), IISep 05 2007Nov 07 2009This is an expanded version of our earlier paper. Let the $n$th partial sum of the Taylor series $e = \sum_{r=0}^{\infty} 1/r!$ be $A_n/n!$, and let $p_k/q_k$ be the $k$th convergent of the simple continued fraction for $e$. Using a recent measure of ... More

Estimating the size and distribution of networked populations with snowball samplingFeb 18 2014Jul 26 2017A new strategy is introduced for estimating population size and networked population characteristics. Sample selection is based on the one-wave snowball sampling design. A generalized stochastic block model is posited for the population's network graph. ... More

On the sharpness of Mockenhaupt's restriction theoremNov 26 2012Jun 08 2013We prove that the range of exponents in Mockenhaupt's restriction theorem for Salem sets, with the endpoint estimate due to Bak and Seeger, is optimal.

Oscillation theory and semibounded canonical systemsNov 17 2018Oscillation theory locates the spectrum of a differential equation by counting the zeros of its solutions. We present a version of this theory for canonical systems $Ju'=-zHu$ and then use it to discuss semibounded operators from this point of view. Our ... More

Radio Galaxy Zoo: host galaxies and radio morphologies for large surveys from visual inspectionMar 08 2016We present early results from Radio Galaxy Zoo, a web-based citizen science project for visual inspection and classification of images from all-sky radio surveys. The goals of the project are to classify individual radio sources (particularly galaxies ... More

Invisible Major Mergers: Why the Definition of a Galaxy Merger Ratio MattersFeb 13 2009The mapping between dark matter halo mass, galaxy stellar mass, and galaxy cold gas mass is not a simple linear relation, but is influenced by a wide array of galaxy formation processes. We implement observationally-normalized relations between dark matter ... More

Application of the dual-kinetic-balance sets in the relativistic many-body problem of atomic structureOct 16 2007The dual-kinetic-balance (DKB) finite basis set method for solving the Dirac equation for hydrogen-like ions [V. M. Shabaev et al., Phys. Rev. Lett. 93, 130405 (2004)] is extended to problems with a non-local spherically-symmetric Dirac-Hartree-Fock potential. ... More