total 102took 0.11s

James Webb Space Telescope Optical Simulation Testbed V: Wide-field phase retrieval assessmentOct 15 2018The James Webb Space Telescope (JWST) Optical Simulation Testbed (JOST) is a hardware simulator for wavefront sensing and control designed to produce JWST-like images. A model of the JWST three mirror anas- tigmat is realized with three lenses in the ... More

Alexander type invariants of tanglesNov 28 2016We study generalizations of a classical link invariant -- the multivariable Alexander polynomial -- to tangles. The starting point is Archibald's tMVA invariant for virtual tangles which lives in the setting of circuit algebras, and whose target space ... More

Some curvatures of Riemannian manifolds with circulant structuresJan 13 2015We consider a four-dimensional Riemannian manifold equipped with two circulant structures -- a metric $g$ and a structure $q$, which is an isometry with respect to $g$ and the forth power of $q$ is the identity. We discuss some curvature properties of ... More

Curvature properties of $4$-dimensional Riemannian manifolds with a circulant structureJan 13 2015Dec 01 2016We consider a $4$-dimensional Riemannian manifold $M$ equip\-ped with a circulant structure $q$, which is an isometry with respect to the metric $g$ and $q^{4}=\id$, $q^{2}\neq \pm \id$. For such a manifold $(M, g, q)$ we obtain some assertions for the ... More

On a simple model of X_0(N)Apr 04 2017We find plane models for all $X_0(N)$, $N\geq 2$. We observe a map from the modular curve $X_0(N)$ to the projective plane constructed using modular forms of weight $12$ for the group $\Gamma_0(N)$; the Ramanujan function $\Delta$, $\Delta(N\cdot)$ and ... More

Locally Isotropic Pseudo-Riemannian ManifoldsSep 11 2004Locally isotropic pseudo-Riemannian manifolds are known to be locally symmetric; this result is due to Wolf. In the Riemannian setting one proof, due to Szab\'o, uses spectral properties of the so-called Szab\'o operator. In this paper we extend Szab\'o's ... More

Almost conformal transformation in a four dimensional Riemannian manifold with an additional structureOct 09 2011We consider a four dimensional Riemannian manifold M with a metric g and affinor structure q. The local coordinates of these tensors are circulant matrices. Their first orders are (A, B, C, B), A, B, C\in FM and (0, 1, 0, 0), respectively. We construct ... More

Riemannian manifolds with two circulant structuresAug 22 2013Jan 13 2015We consider a three-dimensional Riemannian manifold equipped with two circulant structures - a metric g and a structure q, which is an isometry with respect to g and the third power of q is minus identity. We discuss some curvature properties of this ... More

Critical percolation of virtually free groups and other tree-like graphsJan 27 2008Feb 19 2010This article presents a method for finding the critical probability $p_c$ for the Bernoulli bond percolation on graphs with the so-called tree-like structure. Such a graph can be decomposed into a tree of pieces, each of which has finitely many isomorphism ... More

Vector bundles over Grassmannians and the skew-symmetric curvature operatorJul 15 2004May 28 2005A pseudo-Riemannian manifold is said to be spacelike Jordan IP if the Jordan normal form of the skew-symmetric curvature operator depends upon the point of the manifold, but not upon the particular spacelike 2-plane in the tangent bundle at that point. ... More

Eta-quotients and Embeddings of $X_0(N)$ in the Projective PlaneMay 04 2016In this paper we find projective plane models of $X_0(N)$ by constructing maps from $X_0(N)$ to the projective plane using modular forms. We use eta-quotients of weight 12. We find those eta-quotients of weight 12 which have maximal order of zero at the ... More

Critical percolation of free product of groupsNov 22 2006Sep 26 2008In this article we study percolation on the Cayley graph of a free product of groups. The critical probability $p_c$ of a free product $G_1*G_2*...*G_n$ of groups is found as a solution of an equation involving only the expected subcritical cluster size ... More

Four-dimensional Riemannian product manifolds with circulant structuresApr 20 2019A 4-dimensional Riemannian manifold equipped with an additional tensor structure, whose fourth power is the identity, is considered. This structure has a circulant matrix with respect to some basis, i.e. the structure is circulant, and it acts as an isometry ... More

Continous Temkin theory of interfaceOct 20 2008We present differential equation for evolution of interface based on continuous approximation of Temkin's model

Phase-Retrieval-Based Wavefront Metrology for High Contrast CoronagraphyMar 05 2019We discuss the use of parametric phase-diverse phase retrieval as an in-situ high-fidelity wavefront measurement method to characterize and optimize the transmitted wavefront of a high-contrast coronagraphic instrument. We apply our method to correct ... More

The Gromov width of coadjoint orbits of the symplectic groupJan 12 2016Aug 08 2017We prove that the Gromov width of coadjoint orbits of the symplectic group is at least equal to the upper bound known from the works of Zoghi and Caviedes. This establishes the actual Gromov width. Our work relies on a toric degeneration of a coadjoint ... More

Almost all one-relator groups with at least three generators are residually finiteSep 26 2008Sep 12 2009We prove that with probability tending to 1, a 1-relator group with at least 3 generators and relator of length n is residually finite, virtually residually (finite p)-group for all sufficiently large p, and coherent. The proof uses both combinatorial ... More

Curvature tensors whose Jacobi or Szabo operator is nilpotent on null vectorsMay 07 2002We show that any $k$ Osserman Lorentzian algebraic curvature tensor has constant sectional curvature and give an elementary proof that any local 2 point homogeneous Lorentzian manifold has constant sectional curvature. We also show that a Szab\'o Lorentzian ... More

On a gravitational self-interaction parameter for point-particlesAug 26 2017Relativistic, electrically neutral point-particles can be given mathematical foundation by doing a careful accounting of self-interaction energies. In this paper we examine a self-interaction parameter and present a continuous framework which interpolates ... More

On Polynomial Identities for Recursive SequencesAug 20 2015In this paper we extend the notion of Melham sum to the Pell and Pell-Lucas sequences. While the proofs of general statements rely on the binomial theorem, we prove some spacial cases by the known Pell identities. We also give extensions of obtained expressions ... More

A Gluing Construction Regarding Point Particles in General RelativityAug 12 2009We develop a gluing construction which adds scaled and truncated asymptotically Euclidean solutions of the Einstein constraint equations to compact solutions with potentially non-trivial cosmological constants. The result is a one-parameter family of ... More

On affine connections in a Riemannian manifold with a circulant metric and two circulant affinor structuresOct 27 2010In the present paper it is considered a class V of 3-dimensional Riemannian manifolds M with a metric g and two affinor tensors q and S. It is defined another metric \bar{g} in M. The local coordinates of all these tensors are circulant matrices. It is ... More

Preservers of partial orders on the set of all variance-covariance matricesJan 15 2019Let $H_{n}^{+}(\mathbb{R})$ be the cone of all positive semidefinite $n\times n$ real matrices. Two of the best known partial orders that were mostly studied on subsets of square complex matrices are the L\"owner and the minus partial orders. Motivated ... More

The Gromov width of coadjoint orbits of the symplectic groupJan 12 2016We prove that the Gromov width of coadjoint orbits of the symplectic group is at least equal to the upper bound known from the works of Zoghi and Caviedes. This establishes the actual Gromov width. Our work relies on a toric degeneration of a coadjoint ... More

On primitive elements of algebraic function fields and models of $X_0(N)$May 05 2018For a Fuchsian group of first kind $\Gamma$ we look at non-zero linear subspace $W$ of $M_m(\Gamma)$, $m\ge 2$, which satisfies certain properties and prove the existence of plane models for $\mathfrak{R}_\Gamma$ of degree $\dim M_m(\Gamma)+g(\Gamma)-1$. ... More

The Effects of Self-Interaction on Constructing Relativistic Point ParticlesJun 23 2017We introduce a framework for studying the effects of self-interaction on the construction of point particle initial data in General Relativity. Within this framework we rigorously prove the vanishing mass claim made by Arnowitt, Deser and Misner regarding ... More

Geometrostatic Manifolds of Small ADM MassJul 10 2017Jul 09 2018We bound the locations of outermost minimal surfaces in geometrostatic manifolds whose ADM mass is small relative to the separation between the black holes and prove the Intrinsic Flat Stability of the Positive Mass Theorem in this setting.

Three-dimensional Riemannian manifolds with circulant structuresAug 22 2013Dec 01 2016We consider a 3-dimensional Riemannian manifold M with two circulant structures -- a metric g and an endomorphism q whose third power is identity. The structure q is compatible with g such that an isometry is induced in any tangent space of M. We obtain ... More

Interactive Search and Exploration in Online Discussion Forums Using Multimodal EmbeddingsMay 07 2019In this paper we present a novel interactive multimodal learning system, which facilitates search and exploration in large networks of social multimedia users. It allows the analyst to identify and select users of interest, and to find similar users in ... More

Magnetorotational instability in decretion disks of critically rotating stars and the outer structure of Be and Be/X-ray disksOct 28 2014Evolutionary models of fast-rotating stars show that the stellar rotational velocity may approach the critical speed. Critically rotating stars cannot spin up more, therefore they lose their excess angular momentum through an equatorial outflowing disk. ... More

Detecting properties from descriptions of groupsMar 12 2019We consider whether given a simple, finite description of a group in the form of an algorithm, it is possible to algorithmically determine if the corresponding group has some specified property or not. When there is such an algorithm, we say the property ... More

On a Three Dimensional Riemannian Manifold with an Additional StructureMay 06 2009We consider a 3-dimensional Riemannian manifold with additional structure q. We find a condition that the affine structure q is parallel with respect to the Riamannian connection.We prove the sectional curvatures of three 2-sections formed linearly independent ... More

Scattering and Localization Properties of Highly Oscillatory PotentialsJan 18 2012Aug 27 2012We investigate scattering, localization and dispersive time-decay properties for the one-dimensional Schr\"odinger equation with a rapidly oscillating and spatially localized potential, $q_\epsilon=q(x,x/\epsilon)$, where $q(x,y)$ is periodic and mean ... More

The size of components in continuum nearest-neighbor graphsMay 24 2006We study the size of connected components of random nearest-neighbor graphs with vertex set the points of a homogeneous Poisson point process in ${\mathbb{R}}^d$. The connectivity function is shown to decay superexponentially, and we identify the exact ... More

Restricting Schubert classes to symplectic Grassmannians using self-dual puzzlesNov 19 2018Given a Schubert class on $Gr(k,V)$ where $V$ is a symplectic vector space of dimension $2n$, we consider its restriction to the symplectic Grassmannian $SpGr(k,V)$ of isotropic subspaces. Pragacz gave tableaux formul\ae\ for positively computing the ... More

Canonical charges and asymptotic symmetry algebra of conformal gravityDec 23 2014We study canonical conformal gravity in four dimensions and construct the gauge generators and the associated charges. Using slightly generalized boundary conditions compared to those in \cite{Grumiller:2013mxa} we find that the charges associated with ... More

Limit distributions of three-state quantum walks: the role of coin eigenstatesMay 28 2014Aug 28 2014We analyze two families of three-state quantum walks which show the localization effect. We focus on the role of the initial coin state and its coherence in controlling the properties of the quantum walk. In particular, we show that the description of ... More

Homogenized description of defect modes in periodic structures with localized defectsJan 04 2013Jul 28 2014A spatially localized initial condition for an energy-conserving wave equation with periodic coefficients disperses (spatially spreads) and decays in amplitude as time advances. This dispersion is associated with the continuous spectrum of the underlying ... More

Restricting Schubert classes to symplectic Grassmannians using self-dual puzzlesNov 19 2018Apr 13 2019Given a Schubert class on $Gr(k,V)$ where $V$ is a symplectic vector space of dimension $2n$, we consider its restriction to the symplectic Grassmannian $SpGr(k,V)$ of isotropic subspaces. Pragacz gave tableau formulae for positively computing the expansion ... More

Online tools for public engagement: case studies from ReykjavikNov 28 2016With the ubiquity of Internet technologies and growing demands for transparency and open data policies, the role of social networking and online deliberation tools for public engagement in decision-making has increased substantially in the last decades. ... More

Wind inhibition by X-ray irradiation in HMXBs: the influence of clumping and the final X-ray luminosityNov 14 2018In wind-powered X-ray binaries, the radiatively driven stellar wind from the primary may be inhibited by the X-ray irradiation. This creates the feedback that limits the X-ray luminosity of the compact secondary. Wind inhibition might be weakened by the ... More

Three-dimensional Riemannian manifolds with circulant structuresAug 22 2013Sep 18 2017We consider a 3-dimensional Riemannian manifold M with two circulant structures -- a metric g and an endomorphism q whose third power is identity. The structure q is compatible with g such that an isometry is induced in any tangent space of M. We obtain ... More

Three-dimensional Riemannian manifolds with circulant structuresAug 22 2013We consider a class of three-dimensional Riemannian manifolds M with a circulant metric g and a circulant affinor q. We have that the third degree of q is the identity and q is accordant with g. In a manifold in such class we get some curvature properties. ... More

Disordered configurations of the Glauber model in two-dimensional networksFeb 14 2018We analyze the ordering efficiency and the structure of disordered configurations for the zero-temperature Glauber model on Watts-Strogatz networks obtained by rewiring 2D regular square lattices. In the small-world regime, the dynamics fails to reach ... More

Suitable bases for quantum walks with Wigner coinsSep 03 2015The analysis of a physical problem simplifies considerably when one uses a suitable coordinate system. We apply this approach to the discrete-time quantum walks with coins given by $2j+1$-dimensional Wigner rotation matrices (Wigner walks), a model which ... More

Almost conformal transformation in a class of Riemannian manifoldsOct 24 2010We consider a 3-dimensional Riemannian manifold V with a metric g and an affinor structure q. The local coordinates of these tensors are circulant matrices. In V we define an almost conformal transformation. Using that definition we construct an infinite ... More

(Semi-)Riemannian geometry of (para-)octonionic projective planesFeb 22 2007We use reduced homogeneous coordinates to study Riemannian geometry of the octonionic (or Cayley) projective plane. Our method extends to the para-octonionic (or split octonionic) projective plane, the octonionic projective plane of indefinite signature, ... More

X-ray irradiation of the winds in binaries with massive componentsMay 13 2015Binaries with hot massive components are strong X-ray sources. Besides the intrinsic X-ray emission of individual binary members originating in their winds, X-ray emission stems from the accretion on the compact companion or from wind collision. Since ... More

Two types of Lie Groups as 4-dimensional Riemannian manifolds with circulant structureJan 25 2018A 4-dimensional Riemannian manifold equipped with an endomorphism of the tangent bundle, whose fourth power is the identity, is considered. The matrix of this structure in some basis is circulant and the structure acts as an isometry with respect to the ... More

Circular holographic ionization-phase meterApr 08 2019We propose an attosecond XUV-pump IR-probe photoionization protocol that employs pairs of counter-rotating consecutive harmonics and angularly resolved photoelectron detection, thereby providing direct measurement of ionization phases. The present method, ... More

Mean-field dynamics of a population of stochastic map neuronsMar 06 2017We analyze the emergent regimes and the stimulus-response relationship of a population of noisy map neurons by means of a mean-field model, derived within the framework of cumulant approach complemented by the Gaussian closure hypothesis. It is demonstrated ... More

Scaling of foreign attractiveness for countries and statesJun 27 2016People's behavior on online social networks, which store geo-tagged information showing where people were or are at the moment, can provide information about their offline life as well. In this paper we present one possible research direction that can ... More

Wave chaos in the non-equilibrium dynamics of the Gross-Pitaevskii equationJan 24 2011May 04 2011The Gross-Pitaevskii equation (GPE) plays an important role in the description of Bose-Einstein condensates (BECs) at the mean-field level. The GPE belongs to the class of non-linear Schr\"odinger equations which are known to feature dynamical instability ... More

On calibrated representations of the degenerate affine periplectic Brauer algebraMay 13 2019We initiate the representation theory of the degenerate affine periplectic Brauer algebra on $n$ strands by constructing its finite-dimensional calibrated representations when $n=2$. We show that any such representation that is indecomposable and does ... More

High-contrast imager for complex aperture telescopes (HiCAT): 5. first results with segmented-aperture coronagraph and wavefront controlMar 13 2019Segmented telescopes are a possibility to enable large-aperture space telescopes for the direct imaging and spectroscopy of habitable worlds. However, the complexity of their aperture geometry, due to the central obstruction, support structures and segment ... More

On a Riemannian manifold with a circulant structure whose third power is the identityFeb 11 2018It is studied a 3-dimensional Riemannian manifold equipped with a tensor structure of type (1,1), whose third power is the identity. This structure has a circulant matrix with respect to some basis, i.e. the structure is circulant. On such a manifold ... More

Curvature structure of self-dual 4-manifoldsAug 20 2008We show the existence of a modified Cliff(1,1) structure compatible with an Osserman 0-model of signature (2,2). We then apply this algebraic result to certain classes of pseudo-Riemannian manifolds of signature (2,2). We obtain a new characterization ... More

Asymptotic gluing of asymptotically hyperbolic solutions to the Einstein constraint equationsOct 09 2009We show that asymptotically hyperbolic solutions of the Einstein constraint equations with constant mean curvature can be glued in such a way that their asymptotic regions are connected.

Coordinated AMBER and MIDI observations of the Mira variable RR AqlSep 26 2008We have used near- and mid-infrared interferometry to investigate the pulsating atmosphere and the circumstellar environment of the Mira variable RR Aql. Observations were taken with the VLTI/AMBER (near infrared) and the VLTI/MIDI (mid infrared) instruments. ... More

Long-time expansion of a Bose-Einstein condensate: Can Anderson localization be observed?Jul 07 2017We numerically explore the long-time expansion of a one-dimensional Bose-Einstein condensate in a disorder potential employing the Gross-Pitaevskii equation. The goal is to search for unique signatures of Anderson localization in the presence of particle-particle ... More

Diffractive paths for weak localization in quantum billiardsSep 20 2007Apr 16 2008We study the weak localization effect in quantum transport through a clean ballistic cavity with regular classical dynamics. We address the question which paths account for the suppression of conductance through a system where disorder and chaos are absent. ... More

Large-scale transfer and characterization of macroscopic periodically nano-rippled grapheneNov 19 2015Nano-rippled graphene, a structurally modified graphene, presents a novel material with a large range of possible applications including sensors, electrodes, coatings, optoelectronics, spintronics and straintronics. In this work we have synthesized macroscopic ... More

Polarization tagging of two-photon double ionization by elliptically polarized XUVsNov 22 2018We explore the influence of elliptical polarization on the (non)sequential two-photon double ionization of atomic helium with ultrashort extreme ultraviolet (XUV) light fields using time-dependent full ab-initio simulations. The energy and angular distributions ... More

Crystals and monodromy of Bethe vectorsAug 16 2017Fix a semisimple Lie algebra g. Gaudin algebras are commutative algebras acting on tensor product multiplicity spaces for g-representations. These algebras depend on a parameter which is a point in the Deligne-Mumford moduli space of marked stable genus ... More

Choosing the right home location definition method for the given datasetOct 13 2015Ever since first mobile phones equipped with GPS came to the market, knowing the exact user location has become a holy grail of almost every service that lives in the digital world. Starting with the idea of location based services, nowadays it is not ... More

Transport through open quantum dots: making semiclassics quantitativeOct 30 2009We investigate electron transport through clean open quantum dots (quantum billiards). We present a semiclassical theory that allows to accurately reproduce quantum transport calculations. Quantitative agreement is reached for individual energy and magnetic ... More

Inelastic impact of a sphere on a massive plane: nonmonotonic velocity-dependence of the restitution coefficientSep 20 2002We have studied the coefficient of restitution, $\eta$, in normal collisions of a non-rotating sphere on a massive plate for a range of material parameters, impact velocity and sphere size. The measured coefficient of restitution does not monotonically ... More

Temperature dependence of a graphene growth on a stepped iridium surfaceNov 20 2015We have used scanning tunneling microscopy to study the growth of graphene on a periodically stepped Ir(332) substrate surface, which is a promising route for modification of graphene properties. We have found that graphene continuously extends over iridium ... More

Global multi-layer network of human mobilityJan 21 2016Recent availability of geo-localized data capturing individual human activity together with the statistical data on international migration opened up unprecedented opportunities for a study on global mobility. In this paper we consider it from the perspective ... More

Weakly asymptotically hyperbolic manifoldsJun 10 2015Oct 27 2016We introduce a class of "weakly asymptotically hyperbolic" geometries whose sectional curvatures tend to $-1$ and are $C^0$, but are not necessarily $C^1$, conformally compact. We subsequently investigate the rate at which curvature invariants decay at ... More

Modeling peer and external influence in online social networksOct 26 2016Opinion polls mediated through a social network can give us, in addition to usual demographics data like age, gender and geographic location, a friendship structure between voters and the temporal dynamics of their activity during the voting process. ... More

Sublinear scaling of country attractiveness observed from Flickr datasetJan 11 2016The number of people who decide to share their photographs publicly increases every day, consequently making available new almost real-time insights of human behavior while traveling. Rather than having this statistic once a month or yearly, urban planners ... More

Scaling of city attractiveness for foreign visitors through big data of human economical and social media activityApr 22 2015Scientific studies investigating laws and regularities of human behavior are nowadays increasingly relying on the wealth of widely available digital information produced by human social activity. In this paper we leverage big data created by three different ... More

Multilayer graphene condenser microphoneJun 04 2015Vibrating membranes are the cornerstone of acoustic technology, forming the backbone of modern loudspeakers and microphones. Acoustic performance of condenser microphone is derived mainly from the membrane's size and achievable static tension. The widely ... More

Weakly asymptotically hyperbolic manifoldsJun 10 2015Jun 11 2015We introduce a class of "weakly asymptotically hyperbolic" geometries whose sectional curvatures tend to $-1$ and are $C^0$, but are not necessarily $C^1$, conformally compact. We subsequently investigate the rate at which curvature invariants decay at ... More

Time-dependent complete-active-space self-consistent-field method for atoms: Application to high-harmonic generationMay 02 2016We present the numerical implementation of the time-dependent complete-active-space self-consistent-field (TD-CASSCF) method [Phys. Rev. A, 88, 023402 (2013)] for atoms driven by a strong linearly polarized laser pulse. The present implementation treats ... More

bRing: An observatory dedicated to monitoring the $β$ Pictoris b Hill sphere transitSep 05 2017Aims. We describe the design and first light observations from the $\beta$ Pictoris b Ring ("bRing") project. The primary goal is to detect photometric variability from the young star $\beta$ Pictoris due to circumplanetary material surrounding the directly ... More

Propagating two-particle reduced density matrices without wavefunctionsNov 03 2014Describing time-dependent many-body systems where correlation effects play an important role remains a major theoretical challenge. In this paper we develop a time-dependent many-body theory that is based on the two-particle reduced density matrix (2-RDM). ... More

An Adaptive Threshold in Mammalian Neocortical EvolutionApr 19 2013Oct 01 2013Expansion of the neocortex is a hallmark of human evolution. However, it remains an open question what adaptive mechanisms facilitated its expansion. Here we show, using gyrencephaly index (GI) and other physiological and life-history data for 102 mammalian ... More

Predicting Regional Economic Indices using Big Data of Individual Bank Card TransactionsMay 29 2015Jul 11 2015For centuries quality of life was a subject of studies across different disciplines. However, only with the emergence of a digital era, it became possible to investigate this topic on a larger scale. Over time it became clear that quality of life not ... More

Silver environment and covalent network rearrangement in GeS3-Ag glassesAug 02 2014The structure of Ag-doped GeS3 glasses (0, 15, 20, 25 at.% Ag) was investigated by diffraction techniques and extended x-ray absorption fine structure measurements. Structural models were obtained by fitting the experimental datasets simultaneously by ... More

Wave chaos as signature for depletion of a Bose-Einstein condensateFeb 27 2012Aug 07 2012We study the expansion of repulsively interacting Bose-Einstein condensates (BECs) in shallow one-dimensional potentials. We show for these systems that the onset of wave chaos in the Gross-Pitaevskii equation (GPE), i.e. the onset of exponential separation ... More

Photonic realization of topologically protected bound states in domain-wall waveguide arraysFeb 12 2016Mar 11 2016We present an analytical theory of topologically protected photonic states for the two-dimensional Maxwell equations for a class of continuous periodic dielectric structures, modulated by a domain wall. We further numerically confirm the applicability ... More

Translation functors and decomposition numbers for the periplectic Lie superalgebra $\mathfrak{p}(n)$Oct 26 2016Oct 29 2018We study the category $\mathcal{F}_n$ of finite-dimensional integrable representations of the periplectic Lie superalgebra $\mathfrak{p}(n)$. We define an action of the Temperley--Lieb algebra with infinitely many generators and defining parameter $0$ ... More

Limit density of 2D quantum walk: zeroes of the weight functionJan 02 2017Properties of the probability distribution generated by a discrete-time quantum walk, such as the number of peaks it contains, depend strongly on the choice of the initial condition. In the present paper we discuss from this point of view the model of ... More

Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topologyJun 18 2015We show that any polyhomogeneous asymptotically hyperbolic constant-mean-curvature solution to the vacuum Einstein constraint equations can be approximated, arbitrarily closely in H\"older norms determined by the physical metric, by shear-free smoothly ... More

Oscillatory and localized perturbations of periodic structures and the bifurcation of defect modesJul 31 2014Jun 23 2015Let $Q(x)$ denote a periodic function on the real line. The Schr\"odinger operator, $H_Q=-\partial_x^2+Q(x)$, has $L^2(\mathbb{R})-$ spectrum equal to the union of closed real intervals separated by open spectral gaps. In this article we study the bifurcation ... More

Continuous deformations of the Grover walk preserving localizationJun 05 2012The three-state Grover walk on a line exhibits the localization effect characterized by a non-vanishing probability of the particle to stay at the origin. We present two continuous deformations of the Grover walk which preserve its localization nature. ... More

On a Three Dimensional Riemannian Manifold with an Additional StructureMay 06 2009Aug 29 2017We consider a 3-dimensional Riemannian manifold with additional structure q. We find a condition that the affine structure q is parallel with respect to the Riamannian connection.We prove the sectional curvatures of three 2-sections formed linearly independent ... More

Jordan Szabo algebraic covariant derivative curvature tensorsNov 05 2002We show that if $\nabla R$ is a Jordan Szabo algebraic covariant derivative curvature tensor on a vector space of signature (p,q), where q is odd and p is less than q or if q is congruent to 2 mod 4 and if p is less than q-1, then $\nabla R=0$. This algebraic ... More

Depressed serum IgM levels in SLE are restricted to defined subgroupsOct 30 2017Natural IgM autoantibodies have been proposed to convey protection from autoimmune pathogenesis. Herein, we investigated the IgM responses in 396 systemic lupus erythematosus (SLE) patients, divided into subgroups based on distinct autoantibody profiles. ... More

The affine VW supercategoryJan 12 2018We define the affine VW supercategory $\mathit{s}\hspace{-0.7mm}\bigvee\mkern-15mu\bigvee$, which arises from studying the action of the periplectic Lie superalgebra $\mathfrak{p}(n)$ on the tensor product $M\otimes V^{\otimes a}$ of an arbitrary representation ... More

Translation functors and Kazhdan--Lusztig multiplicities for the Lie superalgebra $\mathfrak{p}(n)$Oct 26 2016We study the category $\mathcal F$ of finite-dimensional integrable representations of the periplectic Lie superalgebra $\mathfrak{p}(n)$. We define the action of Temperley--Lieb algebra with infinitely many generators and defining parameter $0$ on the ... More

High Redshift Massive Quiescent Galaxies are as Flat as Star Forming Galaxies: The Flattening of Galaxies and the Correlation with Structural Properties in CANDELS/3D-HSTJan 07 2019We investigate the median flattening of galaxies at $0.2<z<4.0$ in all five CANDELS/3D-HST fields via the apparent axis ratio $q$. We separate the sample into bins of redshift, stellar-mass, s\'ersic index, size, and UVJ determined star-forming state ... More

Elastic scattering of a Bose-Einstein condensate at a potential landscapeOct 02 2013We investigate the elastic scattering of Bose-Einstein condensates at shallow periodic and disorder potentials. We show that the collective scattering of the macroscopic quantum object couples to internal degrees of freedom of the Bose-Einstein condensate ... More

Semiclassical wavefunctions for open quantum billiardsMar 15 2013We present a semiclassical approximation to the scattering wavefunction $\Psi(\mathbf{r},k)$ for an open quantum billiard which is based on the reconstruction of the Feynman path integral. We demonstrate its remarkable numerical accuracy for the open ... More

Some Dimensions of Spaces of Finite Type Invariants of Virtual KnotsSep 28 2009We compute many dimensions of spaces of finite type invariants of virtual knots (of several kinds) and the dimensions of the corresponding spaces of "weight systems", finding everything to be in agreement with the conjecture that "every weight system ... More

Genome disorder and breast cancer susceptibilityJun 15 2014Many common diseases have a complex genetic basis in which large numbers of genetic variations combine with environmental and lifestyle factors to determine risk. However, quantifying such polygenic effects and their relationship to disease risk has been ... More

Accurate high-harmonic spectra from time-dependent two-particle reduced density matrix theoryNov 03 2016The accurate description of the non-linear response of many-electron systems to strong-laser fields remains a major challenge. Methods that bypass the unfavorable exponential scaling with particle number are required to address larger systems. In this ... More

Urban Magnetism Through The Lens of Geo-tagged PhotographyMar 18 2015May 30 2015There is an increasing trend of people leaving digital traces through social media. This reality opens new horizons for urban studies. With this kind of data, researchers and urban planners can detect many aspects of how people live in cities and can ... More