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Accreting Double white dwarf binaries: Implications for LISAJul 04 2017Sep 12 2017We explore the long-term evolution of mass-transferring white dwarf binaries undergoing both direct-impact and disk accretion and explore implications of such systems to gravitational wave astronomy. We cover a broad range of initial component masses ... 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

Millisecond Pulsars and Black Holes in Globular ClustersFeb 15 2019Apr 18 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

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

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

Relativistic Ohm and Fourier laws for binary mixtures of electrons with protons and photonsJul 17 2012Binary mixtures of electrons with protons and of electrons with photons subjected to external electromagnetic fields are analyzed by using the Anderson and Witting model equation. The relativistic laws of Ohm and Fourier are determined as well as general ... More

Computer Simulations of charged systemsMar 26 2002In this brief contribution to the Proceedings of the NATO-ASI on ``Electrostatic Effects in Soft Matter and Biophysics'', which took place in Les Houches from Oct. 1-13, 2000, we summarize in short aspects of the simulations methods to study charged systems. ... 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

Thermal Conductivity, Shear and Bulk Viscosities for a Relativistic Binary MixtureDec 13 2016In the present work, we deal with a binary mixture of diluted relativistic gases within the framework of the kinetic theory. The analysis is made within the framework of the Boltzmann equation. We assume that the gas is under the influence of an isotropic ... 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

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

A Generalization of Plexes of Latin SquaresAug 01 2010A $k$-plex of a latin square is a collection of cells representing each row, column, and symbol precisely $k$ times. The classic case of $k=1$ is more commonly known as a transversal. We introduce the concept of a $k$-weight, an integral weight function ... More

Real-Time Stochastic Predictive Control for Hybrid Vehicle Energy ManagementApr 23 2018This work presents three computational methods for real time energy management in a hybrid hydraulic vehicle (HHV) when driver behavior and vehicle route are not known in advance. These methods, implemented in a receding horizon control (aka model predictive ... 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

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

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

A sufficient condition for finiteness of Frobenius test exponentsSep 26 2018Apr 18 2019The 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

Moment Independent Expansion for Fourth-Order Corrections in Lattice Boltzmann MethodsOct 30 2017Jan 17 2018A expansion to fourth-order for lattice Boltzmann methods is presented. This expansion provides an easy model for finding fourth-order corrections to lattice Boltzmann methods for various physical systems. The fourth-order terms can give rise to improved ... More

Complex Random Matrices have no Real EigenvaluesSep 24 2016Oct 08 2017Let $\zeta = \xi + i\xi'$ 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 entries that are iid copies of $\zeta$. We prove that there exists a $c \in (0,1)$ such ... 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

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

$2^3$ 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

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

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

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

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

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.

Primes from sums of two squares and missing digitsJun 07 2018Let $\mathcal{A}'$ be the set of integers missing any three fixed digits from their decimal expansion. We produce primes in a thin sequence by proving an asymptotic formula for counting primes of the form $p = m^2 + \ell^2$, with $\ell \in \mathcal{A}'$. ... 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

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

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

Characterizing accreting double white dwarf binaries with the Laser Interferometer Space Antenna and GaiaOct 23 2017Apr 30 2018We demonstrate a method to fully characterize mass-transferring double white dwarf (DWD) systems with a helium-rich (He) WD donor based on the mass--radius relationship for He WDs. Using a simulated Galactic population of DWDs, we show that donor and ... More

Tidal Disruptions of Stars by Black Hole Remnants in Dense Star ClustersApr 12 2019In a dense stellar environment, such as the core of a globular cluster (GC), dynamical interactions with black holes (BHs) are expected to lead to a variety of astrophysical transients. Here we explore tidal disruption events (TDEs) of stars by stellar-mass ... 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

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 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

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

State Classification of Cooking Objects Using a VGG CNNApr 21 2019In machine learning, it is very important for a robot to know the state of an object and recognize particular desired states. This is an image classification problem that can be solved using a convolutional neural network. In this paper, we will discuss ... More

Quasipositive links and Stein surfacesMar 29 2017Apr 28 2017We study the generalization of quasipositive links from the three-sphere to arbitrary closed, orientable three-manifolds. As in the classical case, we see that this generalization of quasipositivity is intimately connected to contact and complex geometry. ... More

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

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

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

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

Lie Algebroid Gauging of Non-linear Sigma ModelsMay 02 2019This paper examines a proposal for gauging non-linear sigma models with respect to a Lie algebroid action. The general conditions for gauging a non-linear sigma model with a set of involutive vector fields are given. We show that it is always possible ... 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

A Language for Function Signature RepresentationsMar 31 2018Apr 18 2018Recent work by (Richardson and Kuhn, 2017a,b; Richardson et al., 2018) looks at semantic parser induction and question answering in the domain of source code libraries and APIs. In this brief note, we formalize the representations being learned in these ... 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

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

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

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

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

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

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

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

Grad's moment method for relativistic gas mixtures of Maxwellian particlesJan 14 2013Mixtures of relativistic gases are analyzed within the framework of Boltzmann equation by using Grad's moment method. A relativistic mixture of $r$ constituent is characterized by the moments of the distribution function: particle four-flows, energy-momentum ... 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

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

Consistent interpretation of molecular simulation kinetics using Markov state models biased with external informationFeb 11 2016Molecular simulations can provide microscopic insight into the physical and chemical driving forces of complex molecular processes. Despite continued advancement of simulation methodology, model errors may lead to inconsistencies between simulated and ... More

Charge inversion in colloidal systemsJan 08 2002We investigate spherical macroions in the strong Coulomb coupling regime within the primitive model in salt-free environment. Molecular dynamics (MD) simulations are used to elucidate the effect of $discrete$ macroion charge distribution on charge inversion. ... More

Conformation of a Polyelectrolyte Complexed to a Like-Charged ColloidNov 19 2001We report results from a molecular dynamics (MD) simulation on the conformations of a long flexible polyelectrolyte complexed to a charged sphere, \textit{both negatively charged}, in the presence of neutralizing counterions in the strong Coulomb coupling ... More

Relative Resolution: A Multipole Approximation at Appropriate DistancesSep 17 2018Recently, we introduced Relative Resolution as a hybrid formalism for fluid mixtures [1]. The essence of this approach is that it switches molecular resolution in terms or relative separation: While nearest neighbors are characterized by a detailed fine-grained ... More

On the Inductive Bias of Word-Character-Level Multi-Task Learning for Speech RecognitionNov 28 2018End-to-end automatic speech recognition (ASR) commonly transcribes audio signals into sequences of characters while its performance is evaluated by measuring the word-error rate (WER). This suggests that predicting sequences of words directly may be helpful ... 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

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

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

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

Polymorphism of syndiotactic polystyrene crystals from multiscale simulationsMay 25 2018Syndiotactic polystyrene (sPS) exhibits complex polymorphic behavior upon crystallization. Computational modeling of polymer crystallization has remained a challenging task because the relevant processes are slow on the molecular time scale. We report ... More

Relative Resolution: A Hybrid Formalism for Fluid MixturesMar 12 2019We show here that molecular resolution is inherently hybrid in terms of relative separation: If molecules are close to each other, they must be characterized by a fine-grained (geometrically detailed) model, yet if molecules are far from each other, they ... 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

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

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

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

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

Dictionary Learning with Few Samples and Matrix ConcentrationMar 30 2015Let $A$ be an $n \times n$ matrix, $X$ be an $n \times p$ matrix and $Y = AX$. A challenging and important problem in data analysis, motivated by dictionary learning and other practical problems, is to recover both $A$ and $X$, given $Y$. Under normal ... 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