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Orthogonal Units of the Double Burnside RingJan 20 2019Given a finite group $G$, its double Burnside ring $B(G,G)$, has a natural duality operation that arises from considering opposite $(G,G)$-bisets. In this article, we systematically study the subgroup of units of $B(G,G)$, where elements are inverse to ... More

Resonant Dampers for Parametric Instabilities in Gravitational Wave DetectorsFeb 21 2015Advanced gravitational wave interferometric detectors will operate at their design sensitivity with nearly 1MW of laser power stored in the arm cavities. Such large power may lead to the uncontrolled growth of acoustic modes in the test masses due to ... More

Effect of squeezing on parameter estimation of gravitational waves emitted by compact binary systemsOct 30 2014Nov 06 2014The LIGO gravitational wave (GW) detectors will begin collecting data in 2015, with Virgo following shortly after. The use of squeezing has been proposed as a way to reduce the quantum noise without increasing the laser power, and has been successfully ... More

Decoherence and degradation of squeezed states in quantum filter cavitiesApr 11 2017Squeezed states of light have been successfully employed in interferometric gravitational-wave detectors to reduce quantum noise, thus becoming one of the most promising options for extending the astrophysical reach of the generation of detectors currently ... More

Intrinsically knotted graphs with 21 edgesMar 27 2013We show that the 14 graphs obtained by $\nabla\mathrm{Y}$ moves on K_7 constitute a complete list of the minor minimal intrinsically knotted graphs on 21 edges. We also present evidence in support of a conjecture that the 20 graph Heawood family, obtained ... More

A Theory of Non_Gaussian Option PricingMay 03 2002Dec 17 2002Option pricing formulas are derived from a non-Gaussian model of stock returns. Fluctuations are assumed to evolve according to a nonlinear Fokker-Planck equation which maximizes the Tsallis nonextensive entropy of index $q$. A generalized form of the ... More

Two Higgs Models for Large Tan Beta and Heavy Second HiggsNov 28 2007Dec 20 2007We study two Higgs models for large $\tan\beta$ and relatively large second Higgs mass. In this limit the second heavy Higgs should have small vev and therefore couples only weakly to two gauge bosons. Furthermore, the couplings to down type quarks can ... More

New Mechanisms of Gauge-Mediated Supersymmetry BreakingJun 23 1997We review the motivation for Gauge-Mediated Supersymmetry Breaking and discuss some recent advances.

The Inclusive Semileptonic Decay Lepton Spectrum from $B \to X e \overlineν$Jul 15 1994In this talk, we review the QCD calculation of the lepton spectrum from inclusive semileptonic $B$ decay. We compare this prediction to that of the ACCMM model. This latter work was done in collaboration with Csaba Csaki.

Timescales in heavy ion collisionsJul 21 2016The study of high energy collisions between heavy nuclei is a field unto itself, distinct from nuclear and particle physics. A defining aspect of heavy ion physics is the importance of a bulk, self-interacting system with a rich space-time substructure. ... More

Shake genus and slice genusMar 26 2018Sep 13 2018An important difference between high dimensional smooth manifolds and smooth 4-manifolds that in a 4-manifold it is not always possible to represent every middle dimensional homology class with a smoothly embedded sphere. This is true even among the simplest ... More

Three-Family Perturbative String Vacua: Flat Directions and Effective CouplingsJun 18 1998The properties of a class of quasi-realistic three-family perturbative heterotic string vacua are addressed. String models in this class generically contain an anomalous U(1), such that the nonzero Fayet-Iliopoulos term triggers certain fields to acquire ... More

Femtoscopy in heavy ion collisions: Wherefore, whence, and whither?Dec 05 2005I present a brief overview of the wealth of femtoscopic measurements from the past two decades of heavy ion experiments. Essentially every conceivable knob at our disposal has been turned; the response of two-particle correlations to these variations ... More

Flat Directions and Baryogenesis in Supersymmetric TheoriesJul 08 1995Flat directions are a generic feature of supersymmetric theories. They are of cosmological interest because they can lead to coherent production of scalars. In the early universe such flat directions could be dangerous due to the potentially large energy ... More

On the size of subsets of $\mathbb{F}_p^{n}$ without $p$ distinct elements summing to zeroApr 21 2019Given a fixed prime $p\geq 3$ and a large integer $n$, what is the maximum size of a subset of $\mathbb{F}_p^{n}$ without $p$ distinct elements summing to zero? For $p=3$, this is the famous cap-set problem asking about the maximum size of a progression-free ... More

A Central Limit Theorem for Vincular Permutation PatternsApr 03 2017Mar 08 2018We study the number of occurrences of any fixed vincular permutation pattern. We show that this statistics on uniform random permutations is asymptotically normal and describe the speed of convergence. To prove this central limit theorem, we use the method ... More

The Ising model coupled to 2d ordersFeb 07 2018In this article we make first steps in coupling matter to causal set theory in the path integral. We explore the case of the Ising model coupled to the 2d discrete Einstein Hilbert action, restricted to the 2d orders. We probe the phase diagram in terms ... More

The strong Lefschetz property of monomial complete intersections in two variablesMar 23 2017In this paper we classify the monomial complete intersection algebras, in two variables, and of positive characteristic, which has the strong Lef- schetz property. Together with known results, this gives a complete classi- fication of the monomial complete ... More

Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimensionDec 17 2010Nov 04 2011We review the computation of the anomalous dimension of twist operators in the planar limit of N=4 SYM using the asymptotic Bethe ansatz and demonstrate how this quantity is obtained at weak, strong and intermediate values of the coupling constant. The ... More

Statistical Signatures in Times of Panic: Markets as a Self-Organizing SystemAug 02 2009Aug 04 2009We study properties of the cross-sectional distribution of returns. A significant anti-correlation between dispersion and cross-sectional kurtosis is found such that dispersion is high but kurtosis is low in panic times, and the opposite in normal times. ... More

Models of Dynamical Supersymmetry BreakingJun 23 1997We review a class of models of dynamical supersymmetry breaking, and give a unified description of these models.

A closed form expression for the causal set d'AlembertianNov 07 2013Apr 07 2014Recently a definition for a Lorentz invariant operator approximating the d'Alembertian in d-dimensional causal set space-times has been proposed. This operator contains several dimension-dependent constants which have been determined for d=2,...,7. In ... More

Coupling dimers to CDT - conceptual issuesJan 28 2013Causal dynamical triangulations allows for a non perturbative approach to quantum gravity. In this article a solution for dimers coupled to CDT is presented and some of the conceptual problems that arise are reflected upon.

Tensor diagrams and Chebyshev polynomialsSep 12 2016In this paper, we describe a class of elements in the ring of $\mathrm{SL}(V)$-invariant polynomial functions on the space of configurations of vectors and linear forms of a 3-dimensional vector space $V.$ These elements are determined by Chebyshev polynomials ... More

Scaling behaviour in random non-commutative geometriesDec 02 2016Random non-commutative geometries are a novel approach to taking a non-perturbative path integral over geometries. They were introduced in arxiv.org/abs/1510.01377, where a first examination was performed. During this examination we found that some geometries ... More

Regularity versus singularities for elliptic problems in two dimensionsOct 30 2009Aug 30 2010In two dimensions every weak solution to a nonlinear elliptic system $\rm{div} a(x,u,Du)=0$ has H\"older continuous first derivatives provided that standard continuity, ellipticity and growth assumptions hold with a growth exponent $p \geq 2$. We give ... More

On the size of subsets of $\mathbb{F}_p^{n}$ without $p$ distinct elements summing to zeroApr 21 2019May 20 2019Let us fix a prime $p$. The Erd\H{o}s-Ginzburg-Ziv problem asks for the minimum integer $s$ such that any collection of $s$ points in the lattice $\mathbb{Z}^n$ contains $p$ points whose centroid is also a lattice point in $\mathbb{Z}^n$. For large $n$, ... More

Generating function polynomials for legendrian linksOct 20 2001It is shown that, in the 1-jet space of the circle, the swapping and the flyping procedures, which produce topologically equivalent links, can produce nonequivalent legendrian links. Each component of the links considered is legendrian isotopic to the ... More

Boundary regularity for elliptic systems under a natural growth conditionFeb 09 2010Jul 28 2010We consider weak solutions $u \in u_0 + W^{1,2}_0(\Omega,R^N) \cap L^{\infty}(\Omega,R^N)$ of second order nonlinear elliptic systems of the type $- div a (\cdot, u, Du) = b(\cdot,u,Du)$ in $\Omega$ with an inhomogeneity satisfying a natural growth condition. ... More

A Gravitational Wave Detector with Cosmological ReachOct 02 2014Jan 13 2015Twenty years ago, construction began on the Laser Interferometer Gravitational-wave Observatory (LIGO). Advanced LIGO, with a factor of ten better design sensitivity than Initial LIGO, will begin taking data this year, and should soon make detections ... More

Audio-band frequency-dependent squeezingAug 18 2015Quantum vacuum fluctuations impose strict limits on precision displacement measurements, those of interferometric gravitational-wave detectors among them. Introducing squeezed states into an interferometer's readout port can improve the sensitivity of ... More

Prospects for doubling the range of Advanced LIGOOct 21 2014Dec 30 2014In the coming years, the gravitational wave community will be optimizing detector performance for a variety of astrophysical sources that make competing demands on the detector sensitivity in different frequency bands. In this paper we describe a number ... More

Combinatorial model for cluster categories of type EMar 03 2014Nov 25 2014In this paper we give a geometric-combinatorial description of the cluster categories of type E. In particular, we give an explicit geometric description of all cluster tilting objects in the cluster category of type E_6. The model we propose here arises ... More

Search for Extra-Terrestrial planets: The DARWIN mission - Target Stars and Array ArchitecturesApr 22 2005The DARWIN mission is an Infrared free flying interferometer mission based on the new technique of nulling interferometry. Its main objective is to detect and characterize other Earth-like planets, analyze the composition of their atmospheres and their ... More

A multi-time scale non-Gaussian model of stock returnsDec 20 2004Jan 24 2005We propose a stochastic process for stock movements that, with just one source of Brownian noise, has an instantaneous volatility that rises from a type of statistical feedback across many time scales. This results in a stationary non-Gaussian process ... More

Option Pricing Formulas based on a non-Gaussian Stock Price ModelApr 15 2002Sep 18 2002Options are financial instruments that depend on the underlying stock. We explain their non-Gaussian fluctuations using the nonextensive thermodynamics parameter $q$. A generalized form of the Black-Scholes (B-S) partial differential equation, and some ... More

Supersymmetry and InflationNov 25 1997Inflation is a promising solution to many problems of the standard Big-Bang cosmology. Nevertheless, inflationary models have proved less compelling. In this chapter, we discuss why supersymmetry has led to more natural models of inflation. We pay particular ... More

New Mechanisms of Gauge-Mediated Supersymmetry BreakingDec 19 1996Dec 20 1996We introduce new mechanisms for the communication of supersymmetry breaking via gauge interactions. These models do not require complicated dynamics to induce a nonvanishing F term for a singlet. The first class of models communicates supersymmetry breaking ... More

Robotic Search & Rescue via Online Multi-task Reinforcement LearningNov 29 2015Reinforcement learning (RL) is a general and well-known method that a robot can use to learn an optimal control policy to solve a particular task. We would like to build a versatile robot that can learn multiple tasks, but using RL for each of them would ... More

On the Betti numbers and Rees algebras of ideals with linear powersApr 03 2019An ideal $I \subset \mathbb{k}[x_1, \ldots, x_n]$ is said to have linear powers if $I^k$ has a linear minimal free resolution, for all $k$. In this paper we study the Betti numbers of $I^k$, for ideals $I$ with linear powers. The Betti numbers are computed ... More

Elliptic curves with bounded ranks in function field towersMay 30 2011Let $k$ denote an algebraically closed field. We revisit a construction of the author of families of elliptic curves over the rational function field $k(t)$. Combining a combinatorial analysis with a rank formula of Ulmer we prove that, for all but finitely ... More

What to Expect When You're Expecting: Femtoscopy at the LHCJan 20 2007A huge systematics of femtoscopic measurements have been used over the past 20 years to characterize the system created in heavy ion collisions. These measurements cover two orders of magnitude in energy, and with LHC beams imminent, this range will be ... More

Generalised scaling at subleading orderOct 28 2011Jan 18 2012We study operators in the sl(2) sector of N=4 SYM in the generalised scaling limit, where the spin is large and the length of the operator scales with the logarithm of the spin. At leading order in the large spin expansion the scaling dimension at strong ... More

The Supersymmetric Extension of the Faddeev modelOct 28 2003We study the supersymmetric extension of the Faddeev model in four dimensions. The Faddeev model contains three dimensional soliton solutions and we are interested in how these solitons are affected by supersymmetry. We consider both the N=1 and N=2 extensions ... More

Enriching Ontologies with Encyclopedic Background Knowledge for Document IndexingMar 21 2016The rapidly increasing number of scientific documents available publicly on the Internet creates the challenge of efficiently organizing and indexing these documents. Due to the time consuming and tedious nature of manual classification and indexing, ... More

On the $μ$-admissible set in the extended affine Weyl groups of $E_6$ and $E_7$Nov 20 2014Dec 16 2014Using computer calculations we show that the $\mu$-admissible set and the $\mu$-permissible set do not agree for non-trivial minuscule coweights in the cases of $E_6$ and $E_7$.

Endeavours in Discrete Lorentzian Geometry; A thesis in five papersSep 29 2014To solve the path integral for quantum gravity, one needs to regularise the space-times that are summed over. This regularisation usually is a discretisation, which makes it necessary to give up some paradigms or symmetries of continuum physics. Causal ... More

On the Hilbert series of ideals generated by generic formsFeb 24 2015There is a longstanding conjecture by Fr\"oberg about the Hilbert series of the ring $R/I$, where $R$ is a polynomial ring, and $I$ an ideal generated by generic forms. We prove this conjecture true in the case when $I$ is generated by a large number ... More

Tensor diagrams and Chebyshev polynomialsSep 12 2016Feb 13 2018In this paper, we describe a class of elements in the ring of $\mathrm{SL}(V)$-invariant polynomial functions on the space of configurations of vectors and linear forms of a 3-dimensional vector space $V.$ These elements are related to one another by ... More

Sliding along the Eddington Limit -- Heavy-Weight Central Stars of Planetary NebulaeJun 19 2018Due to thermal pulses, asymptotic giant branch (AGB) stars experience periods of convective mixing that provide ideal conditions for slow neutron-capture nucleosynthesis. These processes are affected by large uncertainties and are still not fully understood. ... More

The Conway knot is not sliceAug 08 2018A knot is said to be slice if it bounds a smooth properly embedded disk in the 4-ball. We demonstrate that the Conway knot, 11n34 in the Rolfsen tables, is not slice. This completes the classification of slice knots under 13 crossings, and gives the first ... More

Asymptotic Static Hedge via SymmetrizationJan 12 2018This paper is a continuation of Akahori-Barsotti-Imamura (2017) and where the authors i) showed that a payment at a random time, which we call timing risk, is decomposed into an integral of static positions of knock-in type barrier options, ii) proposed ... More

Damping parametric instabilities in future gravitational wave detectors by means of electrostatic actuatorsApr 12 2017It has been suggested that the next generation of interferometric gravitational wave detectors may observe spontaneously excited parametric oscillatory instabilities. We present a method of actively suppressing any such instability through application ... More

Locally Stable Matching with General PreferencesJul 05 2012Jul 06 2012We study stable matching problems with locality of information and control. In our model, each player is a node in a fixed network and strives to be matched to another player. A player has a complete preference list over all other players it can be matched ... More

Colors of extreme exo-Earth environmentsSep 18 2012Jul 28 2015The search for extrasolar planets has already detected rocky planets and several planetary candidates with minimum masses that are consistent with rocky planets in the habitable zone of their host stars. A low-resolution spectrum in the form of a color-color ... More

Phenomenological Constraints on the Higgs as Pseudo-Goldstone Boson Mechanism in Supersymmetric GUT TheoriesDec 11 1995There are few robust solutions to the doublet-triplet splitting problem in supersymmetric GUT theories. One of the more promising solutions is the Higgs as pseudo-Goldstone boson mechanism. In its minimal implementation, such a solution places an additional ... More

Holographic Domains of Anti-de Sitter SpaceDec 10 2001An AdS_4 brane embedded in AdS_5 exhibits the novel feature that a four-dimensional graviton is localized near the brane, but the majority of the infinite bulk away from the brane where the warp factor diverges does not see four-dimensional gravity. A ... More

An Alternative to CompactificationJun 08 1999Conventional wisdom states that Newton's force law implies only four non-compact dimensions. We demonstrate that this is not necessarily true in the presence of a non-factorizable background geometry. The specific example we study is a single 3-brane ... More

The virtual scaling function of AdS/CFTJan 19 2009Jan 22 2009We write an integral equation that incorporates finite corrections to the large spin asymptotics of N=4 SYM twist operators from the non-linear integral equation. We show that these corrections are an all-loop result, not affected by wrapping effects, ... More

Rational three-spin string duals and non-anomalous finite size effectsFeb 14 2005May 20 2005We determine by a one line computation the one-loop conformal dimension and the associated non-anomalous finite size correction for all operators dual to spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on S^5. Finite size ... More

Viewing Lepton Mixing through the Cabibbo HazeOct 19 2005Nov 12 2005We explore the hypothesis that the Cabibbo angle is an expansion parameter for lepton as well as quark mixing. Cabibbo effects are deviations from zero mixing for the quarks but are deviations from unknown mixings for the leptons, such that lepton mixing ... More

Dark Matter Annihilation in The Galactic Center As Seen by the Fermi Gamma Ray Space TelescopeOct 13 2010Feb 07 2011We analyze the first two years of data from the Fermi Gamma Ray Space Telescope from the direction of the inner 10 degrees around the Galactic Center with the intention of constraining, or finding evidence of, annihilating dark matter. We find that the ... More

Natural Neutrino Masses and Mixings from Warped GeometryMay 30 2008Jan 28 2009We demonstrate that flavor symmetries in warped geometry can provide a natural explanation for large mixing angles and economically explain the distinction between the quark and lepton flavor sectors. We show how to naturally generate Majorana neutrino ... More

Link-State Based Decode-Forward Schemes for Two-way RelayingNov 07 2014In this paper, we analyze a composite decode-and-forward scheme for the two-way relay channel with a direct link. During transmission, our scheme combines both block Markov coding and an independent coding scheme similar to network coding at the relay. ... More

Leading Logarithms in the Massive O(N) Nonlinear Sigma ModelSep 28 2009We review Buchler and Colangelo's result that leading divergences at any loop order can be calculated using only one-loop calculations and we provide an alternative proof. We then use this method to calculate the leading divergences of and thus the leading ... More

Integral forms of Kac-Moody groups and Eisenstein series in low dimensional supergravity theoriesAug 28 2013Jun 17 2015Kac-Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms $G(\mathbb{Z})$ are conjecturally U-duality groups. Mathematical descriptions of $G(\mathbb{Z})$, ... More

Charge Asymmetric Cosmic Ray Signals From Dark Matter DecayMay 19 2011Jun 07 2011The PAMELA and Fermi measurements of the cosmic-ray electron and positron spectra have generated much interest over the past two years, because they are consistent with a significant component of the electron and positron fluxes between 20 GeV and 1 TeV ... More

A composite likelihood ratio approach to the analysis of correlated binary data in genetic association studiesNov 16 2016The likelihood function represents statistical evidence in the context of data and a probability model. Considerable theory has demonstrated that evidence strength for different parameter values can be interpreted from the ratio of likelihoods at different ... More

Decomposing graphs into forestsMay 03 2017We give a simple graph-theoretic proof of a classical result due to C. St. J. A. Nash-Williams on covering graphs by forests. Moreover we derive a slight generalisation of this statement where some edges are preassigned to distinct forests.

Plurisubharmonic Approximation and Boundary Values of Plurisubharmonic FunctionsNov 05 2012We study the problem of approximating plurisubharmonic functions on a bounded domain $\Omega$ by continuous plurisubharmonic functions defined on neighborhoods of $\bar\Omega$. It turns out that this problem can be linked to the problem of solving a Dirichlet ... More

Infinite dimensional Chevalley groups and Kac--Moody groups over $\mathbb{Z}$Mar 29 2018Let $A$ be a symmetrizable generalized Cartan matrix. Let $\mathfrak{g}$ be the corresponding Kac--Moody algebra over a commutative ring $R$ with 1. We construct an infinite dimensional analog $G_V$ of a finite dimensional Chevalley group over $R$, constructed ... More

On Bounded Remainder Sets and Strongly Non-Bounded Remainder Sets for Sequences $(\{a_nα\})_{n\geq 1}$Jun 27 2018We give some results on the existence of bounded remainder sets (BRS) for sequences of the form $(\{a_n\alpha\})_{n\geq 1}$, where $(a_n)_{n\geq 1}$ - in most cases - is a given sequence of distinct integers. Further we introduce the concept of strongly ... More

A survey on M. B. Levin's proofs for the exact lower discrepancy bounds of special sequences and point setsAug 10 2017Mar 14 2018The goal of this overview article is to give a tangible presentation of recent breakthrough works in discrepancy theory by M. B. Levin. These works provide proofs for the exact lower discrepancy bounds of Halton's sequence and a certain class of $(t, ... More

Diffusion processes on branching Brownian motionJul 27 2016Nov 05 2018We construct a class of one-dimensional diffusion processes on the particles of branching Brownian motion that are symmetric with respect to the limits of random martingale measures. These measures are associated with the extended extremal process of ... More

The phase diagram of the complex branching Brownian motion energy modelApr 18 2017We complete the analysis of the phase diagram of the complex branching Brownian motion energy model by studying Phases I, III and boundaries between all three phases (I-III) of this model. For the properly rescaled partition function, in Phase III and ... More

A Universality Test of the Quantum String Bethe AnsatzApr 10 2006Apr 20 2006We show that the quantum corrected string Bethe ansatz passes an important universality test by demonstrating that it correctly incorporates the non-analytical terms in the string sigma model one-loop correction for rational three-spin strings with two ... More

Large Lepton Mixings from Continuous SymmetriesAug 05 2006Mar 21 2007Within the broad context of quark-lepton unification, we investigate the implications of broken continuous family symmetries which result from requiring that in the limit of exact symmetry, the Dirac mass matrices yield hierarchical masses for the quarks ... More

Online Mixed Packing and CoveringMar 30 2012Apr 02 2012In many problems, the inputs arrive over time, and must be dealt with irrevocably when they arrive. Such problems are online problems. A common method of solving online problems is to first solve the corresponding linear program, and then round the fractional ... More

Classification of spherical algebraic subalgebras of real simple Lie algebras of rank 1Jan 29 2014Feb 27 2014We determine all spherical algebraic subalgebras in any simple Lie algebra of real rank 1.

The QCD Scale in the Heavy Quark ExpansionNov 18 1992We argue that consistency of the combined heavy quark and chiral effective lagrangian requires the QCD scale which multiplies $1/M$ in the heavy quark expansion to be the chiral symmetry breaking scale, $\Lambda_{CSB}$, rather than the QCD scale, $\Lambda_{QCD}$. ... More

How reliable is Zeeman Doppler Imaging without simultaneous temperature reconstruction?Oct 02 2012Aims: The goal of this study is to perform numerical tests of Zeeman Doppler Imaging (ZDI) to asses whether correct reconstruction of magnetic fields is at all possible without taking temperature into account for stars in which magnetic and temperature ... More

Global Conservation Laws and Femtoscopy of Small SystemsFeb 29 2008Oct 05 2008It is important to understand, in detail, two-pion correlations measured in p+p and d+A collisions. In particular, one wishes to understand the femtoscopic correlations, in order to compare to similar measurements in heavy ion collisions. However, in ... More

Global Conservation Laws and Femtoscopy of Small SystemsDec 18 2006It is increasingly important to understand, in detail, two-pion correlations measured in p+p and d+A collisions. In particular, one wishes to understand the femtoscopic correlations, in order to compare to similar measurements in heavy ion collisions. ... More

TeV Scale Singlet Dark MatterNov 06 2008Jan 20 2009It is well known that stable weak scale particles are viable dark matter candidates since the annihilation cross section is naturally about the right magnitude to leave the correct thermal residual abundance. Many dark matter searches have focused on ... More

Uncovering Local Absorbed Active Galactic Nuclei with Swift and SuzakuDec 02 2011Detection of absorbed active galactic nuclei and their properties remains an elusive and important problem in understanding the evolution and activation of black holes. With the very hard X-ray survey conducted by Swift's Burst Alert Telescope - the first ... More

X-ray Outflows in the Swift Burst Alert Detected Seyfert 1sNov 09 2010Previous surveys of outflows in low-redshift active galactic nuclei (AGN) have relied on the analysis of sources selected primarily for their optical/X-ray brightness, and are therefore biased. Towards determining the outflow properties of local AGN, ... More

On the Linear Algebraic Structure of Distributed Word RepresentationsNov 22 2015In this work, we leverage the linear algebraic structure of distributed word representations to automatically extend knowledge bases and allow a machine to learn new facts about the world. Our goal is to extract structured facts from corpora in a simpler ... More

Uniqueness of representation--theoretic hyperbolic Kac--Moody groups over $\Z$Dec 15 2015Feb 06 2016For a simply laced and hyperbolic Kac--Moody group $G=G(R)$ over a commutative ring $R$ with 1, we consider a map from a finite presentation of $G(R)$ obtained by Allcock and Carbone to a representation--theoretic construction $G^{\lambda}(R)$ corresponding ... More

The Verlinde formula for parabolic bundlesMar 24 2000The moduli space M(n,d) is an algebraic variety parametrizing those representations of the fundamental group of a punctured Riemann surface into the Lie group SU(n) for which a loop around the boundary is sent to the n-th root of unity exp (2 \pi i d/n) ... More

Bijective Deformations in $\mathbb{R}^n$ via Integral Curve CoordinatesMay 01 2015We introduce Integral Curve Coordinates, which identify each point in a bounded domain with a parameter along an integral curve of the gradient of a function $f$ on that domain; suitable functions have exactly one critical point, a maximum, in the domain, ... More

Low-Energy Kahler Potentials in Supersymmetric Gauge Theories with (ALMOST) Flat DirectionsJul 27 1994We derive the supersymmetric low-energy effective theory of the D-flat directions of a supersymmetric gauge theory. The Kahler potential of Affleck, Dine and Seiberg is derived by applying holomorphic constraints which manifestly maintain supersymmetry. ... More

Torsion and symplectic volume in Seifert manifoldsOct 31 2015For any oriented Seifert manifold X and compact connected Lie group G with finite center, we relate the Reidemeister density of the moduli space of representations of the fundamental group of X into G to the Liouville measure of some moduli spaces of ... More

Coulomb time delays in high harmonic generationJul 11 2016Oct 16 2016Measuring the time it takes to remove an electron from an atom or molecule during photoionization using newly developed attosecond spectroscopies has been a focus of many recent experiments. However, the outcome of such measurement depends on measurement ... More

Spectra of Earth-like Planets Through Geological Evolution Around FGKM StarsDec 28 2017Future observations of terrestrial exoplanet atmospheres will occur for planets at different stages of geological evolution. We expect to observe a wide variety of atmospheres and planets with alternative evolutionary paths, with some planets resembling ... More

Intersection pairings in the N-fold reduced product of adjoint orbitsMar 05 2019In previous work we computed the symplectic volume of the symplectic reduced space of the product of N adjoint orbits of a compact Lie group. In this paper we compute the intersection pairings of the same object.

Erdős-Ginzburg-Ziv constants by avoiding three-term arithmetic progressionsAug 30 2017Apr 17 2018For a finite abelian group $G$, the Erd\H{o}s-Ginzburg-Ziv constant $\mathfrak{s}(G)$ is the smallest $s$ such that every sequence of $s$ (not necessarily distinct) elements of $G$ has a zero-sum subsequence of length $\operatorname{exp}(G)$. For a prime ... More

Point Sources from Dissipative Dark MatterJun 13 2017If a component of dark matter has dissipative interactions, it can cool to form compact astrophysical objects with higher density than that of conventional cold dark matter (sub)haloes. Dark matter annihilations might then appear as point sources, leading ... More

Semantic Drift in Multilingual RepresentationsApr 24 2019May 02 2019Multilingual representations have mostly been evaluated based on their performance on specific tasks. In this article, we look beyond engineering goals and analyze the relations between languages in computational representations. We introduce a methodology ... More

Atmospheres and UV Environments of Earth-like Planets Throughout Post-Main Sequence EvolutionApr 23 2019During the post-main sequence phase of stellar evolution the orbital distance of the habitable zone, which allows for liquid surface water on terrestrial planets, moves out past the system's original frost line, providing an opportunity for outer planetary ... More

Homology of the Intersection Space Associated to the Universal Imploded Cross Section of SU(3)Dec 11 2018We compute the homology of the middle perversity intersection space associated to the universal imploded cross section of SU(3), and show that it is different from its intersection homology. Moreover, we compute the homology of intersection spaces associated ... More