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An inverse problem for the matrix quadratic pencil on a finite intervalJan 13 2013We consider a quadratic matrix boundary value problem with equations and boundary conditions dependent on a spectral parameter. We study an inverse problem that consists in recovering the differential pencil by the so-called Weyl matrix. We obtain asymptotic ... More

Spectral Analysis for the Matrix Sturm-Liouville Operator on a Finite IntervalAug 25 2010Nov 12 2011The inverse spectral problem is investigated for the matrix Sturm-Liouville equation on a finite interval. Properties of spectral characteristics are provided, a constructive procedure for the solution of the inverse problem along with necessary and sufficient ... More

Matrix Sturm-Liouville equation with a Bessel-type singularity on a finite intervalFeb 22 2016The matrix Sturm-Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval is studied. Special fundamental systems of solutions for this equation are constructed: analytic Bessel-type solutions with the prescribed ... More

Comparison of the Discriminatory Processor Sharing PoliciesMar 14 2008Apr 25 2008Discriminatory Processor Sharing policy introduced by Kleinrock is of a great interest in many application areas, including telecommunications, web applications and TCP flow modelling. Under the DPS policy the job priority is controlled by the vector ... More

Low mass X-ray binaries with pre-main sequence companionsNov 07 2006In this Letter we examine the idea that a subset of short-period black-hole low-mass X-ray binaries could be powered by the mass transfer from pre-main sequence donors. As the star contracts towards the main sequence, the strong magnetic fields operate ... More

Modulation of Superconducting Properties by Ferroelectric Polarization in Confined FE-S-FE FilmsNov 17 2003Sep 30 2004We show that the electric polarization at the interface with ultrathin superconducting (S) films sandwiched between ferroelectric (FE) layers allows achievement of substantially stronger modulation of inner carrier density and superconducting transition ... More

Geometric interpretation of the large N=4 indexSep 16 2004We study WZW models with the large N=4 superconformal symetry. Our main result is a geometric interpretation of the large N=4 index. In particular, we find that states contributing to the index belong to spectral flow orbits of special RR ground states. ... More

Recovery of the matrix quadratic differential pencil from the spectral dataSep 21 2015We consider a pencil of matrix Sturm-Liouville operators on a finite interval. We study properties of its spectral characteristics and inverse problems that consist in recovering of the pencil by the spectral data: eigenvalues and so--called weight matrices. ... More

An inverse spectral problem for the matrix Sturm-Liouville operator on the half-lineDec 18 2014The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. We study the inverse spectral problem, which consists in recovering of this operator by the Weyl matrix. The main result of the paper is the necessary and ... More

On badly approximable subspacesOct 17 2018May 08 2019Given an $a$-dimensional linear subspace $\mathfrak{A}$ in $\mathbb{R}^d$ which contains a badly approximable $b$-dimensional subspace $\mathfrak{B} \subset \mathfrak{A}$. We study the badly approximability almost all $c$-dimensional linear subspaces ... More

CO-activator model for reconstructing Pt(100) surfaces: local microstructures and chemical turbulenceAug 21 2007Jan 18 2008We present the results of the modelling of CO adsorption and catalytic CO oxidation on inhomogeneous Pt(100) surfaces which contain structurally different areas. These areas are formed during the CO-induced transition from a reconstructed phase with hexagonal ... More

Double stage Lyot coronagraph with the apodized reticulated stop for extremely large telescopeNov 11 2005One of the science drivers for the extremely large telescope (ELT) is imaging and spectroscopy of exo-solar planets located as close as 20mas to their parent star. The application requires a well thought-out design of the high contrast imaging instrumentation. ... More

Population of dynamically formed triples in dense stellar systemsSep 18 2005In dense stellar systems, frequent dynamical interactions between binaries lead to the formation of multiple systems. In this contribution we discuss the dynamical formation of hierarchically stable triples: the formation rate, main characteristics of ... More

Constrained energy problems with external fields for infinite dimensional vector measuresOct 11 2010We consider a constrained minimal energy problem with an external field over noncompact classes of infinite dimensional vector measures on a locally compact space. The components are positive measures (charges) that are constrained from above, satisfy ... More

Constrained energy problems with external fieldsJan 25 2010Given a positive definite kernel in a locally compact space, we study a minimal energy problem in the presence of an external field over the class of all nonnegative Radon measures that are supported by a given closed noncompact set, satisfy certain normalizing ... More

Necessary and sufficient conditions for the solvability of the Gauss variational problem for infinite dimensional vector measuresJul 03 2012We continue our investigation of the Gauss variational problem for infinite dimensional vector measures associated with a condenser $(A_i)_{i\in I}$. It has been shown in Potential Anal., DOI:10.1007/s11118-012-9279-8 that, if some of the plates (say ... More

Equilibrium problems for infinite dimensional vector potentials with external fieldsNov 04 2009The study deals with a minimal energy problem in the presence of an external field over noncompact classes of vector measures of infinite dimension in a locally compact space. The components are positive measures (charges) satisfying certain normalizing ... More

Maltese cross coupling to cold atoms in free spaceFeb 08 2019We demonstrate a novel geometry for strong coupling of light and matter in free space, i.e., without the use of optical cavities. Guided by optical metrology tools, we use a manual pick-and-place technique to precisely and stably position four high numerical ... More

Implementing Genetic Algorithms on Arduino Micro-ControllersFeb 10 2010Since their conception in 1975, Genetic Algorithms have been an extremely popular approach to find exact or approximate solutions to optimization and search problems. Over the last years there has been an enhanced interest in the field with related techniques, ... More

The Forward Proton Detector at D0Apr 10 1998Apr 13 1998We present the first results of detector R & D done for the proposed Forward Proton Detector at D0. From a menu of options we have chosen a scintillating fiber based detector with multi-anode photomultiplier readout.

Quantum Corrections to the Two-dimensional Gravity with External FieldJun 19 1995Jun 20 1995We introduce an external field to calculate the quantum corrections of the 2d gravity, via trace anomaly. We show that there are black hole type solution even in the absence of matter field and cosmological constant. We also see that these solutions are ... More

A Simple Line Element to the Dilaton GravityOct 02 2000The metric to the two-dimensional dilaton gravity can be writen in an alternative form, similar to the two-dimensional Schwarzschild metric, and allow us the identification of some quantitiies with those equivalent in the Schwarzschild solution. This ... More

The Slow Merger of Massive StarsOct 16 2002We study the complete merger of two massive stars inside a common envelope and the subsequent evolution of the merger product, a rapidly rotating massive supergiant. Three qualitatively different types of mergers have been identified and investigated ... More

Error analysis for a fractional-derivative parabolic problem on quasi-graded meshes using barrier functionsMay 17 2019May 21 2019An initial-boundary value problem with a Caputo time derivative of fractional order $\alpha\in(0,1)$ is considered, solutions of which typically exhibit a singular behaviour at an initial time. For this problem, we give a simple and general numerical-stability ... More

The Golod-Shafarevich inequality for Hilbert series of quadratic algebras and the Anick conjectureJul 22 2010We study the question on whether the famous Golod-Shafarevich estimate, which gives a lower bound for the Hilbert series of a (noncommutative) algebra, is attained. This question was considered by Anick in his 1983 paper 'Generic algebras and CW-complexes', ... More

The classification problem for graphs and lattices is wildAug 29 2010Jun 16 2014We prove that the classification problem for graphs and several types of algebraic lattices (distributive, congruence and modular) up to isomorphism contains the classification problem for pairs of matrices up to simultaneous similarity.

Quadratic automaton algebras and intermediate growthMay 28 2017Nov 21 2017We present an example of a quadratic algebra given by three generators and three relations, which is automaton (the set of normal words forms a regular language) and such that its ideal of relations does not possess a finite Gr\"obner basis with respect ... More

Three dimensional Sklyanin algebras and Groebner basesJan 04 2016Aug 27 2016We consider a Sklyanin algebra S with 3 generators, which is the quadratic algebra over a field k with three generators x,y,z given by three relations pxy+qyx+rzz=0, pyz+qzy+rxx=0 and pzx+qxz+ryy=0, where p,q,r are parameters from the fileld k. This class ... More

Finite dimensional semigroup quadratic algebras with minimal number of relationsApr 11 2011Aug 04 2011A quadratic semigroup algebra is an algebra over a field given by the generators $x_1,...,x_n$ and a finite set of quadratic relations each of which either has the shape $x_jx_k=0$ or the shape $x_jx_k=x_lx_m$. We prove that a quadratic semigroup algebra ... More

Homology of non-$k$-overlapping discsMar 04 2014In this paper we describe the homology and cohomology of some natural bimodules over the little discs operad, whose components are configurations of non-$k$-overlapping discs. At the end we briefly explain how this algebraic structure intervenes in the ... More

Ground-state properties of the Falicov-Kimball model with correlated hopping in two dimensionsJul 05 2001Jul 07 2001A new numerical method, recently developed to study ground states of the Falicov-Kimball model (FKM), is used to examine the effects of correlated hopping on the ground-state properties of this model in two dimensions. It is shown that the ground-state ... More

A CSP Field Theory with Helicity CorrespondenceApr 02 2014We propose the first covariant local action describing the propagation of a single free continuous-spin degree of freedom. The theory is simply formulated as a gauge theory in a "vector superspace", but can also be formulated in terms of a tower of symmetric ... More

On recovering Sturm-Liouville differential operators with deviating argumentFeb 07 2018We consider second-order functional differential operators with a constant delay. Properties of their spectral characteristics are obtained and a nonlinear inverse problem is studied, which consists in recovering the operators from their spectra. We establish ... More

A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graphFeb 27 2017Boundary value problems for Sturm-Liouville operators with potentials from the class $W_2^{-1}$ on a star-shaped graph are considered. We assume that the potentials are known on all the edges of the graph except two, and show that the potentials on the ... More

A self-consistent model of a 22 GHz water maser in a dusty environment near late-type starsOct 21 2005We study the conditions for operation of the 22 GHz ortho-water maser in a dusty medium near late-type stars. The main physical processes, such as exchange of energy between dust and gas in the radiation field of a star, radiative cooling by water molecules ... More

Lagrangian and Hamiltonian constraints for guiding-center Hamiltonian theoriesNov 03 2015A consistent guiding-center Hamiltonian theory is derived by Lie-transform perturbation method, with terms up to second order in magnetic-field nonuniformity. Consistency is demonstrated by showing that the guiding-center transformation presented here ... More

Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4Mar 21 2010Apr 09 2013The holonomy algebra of a pseudo-hyper-K\"ahlerian manifold of signature $(4,4n+4)$ is a subalgebra of $\sp(1,n+1)$. Possible holonomy algebras of these manifolds are classified. Using this, a new proof of the classification of simply connected pseudo-hyper-K\"ahlerian ... More

A short proof of Grünbaum's Conjecture about affine invariant pointsFeb 21 2016Let us denote by $\mathcal K_n$ the hyperspace of all convex bodies of $\mathbb R^n$ equipped with the Hausdorff distance topology. An affine invariant point $p$ is a continuous and Aff(n)-equivariant map $p:\mathcal K_n\to \mathbb R^n$, where Aff(n) ... More

Mean-Set Attack: Cryptanalysis of Sibert et al. Authentication ProtocolJun 24 2010We analyze the Sibert et al. group-based (Feige-Fiat-Shamir type) authentication protocol and show that the protocol is not computationally zero-knowledge. In addition, we provide experimental evidence that our approach is practical and can succeed even ... More

Nucleation of solitary wave complexes in two-component mixture Bose-Einstein condensatesDec 29 2004Two-component mixtures of Bose-Einstein condensates are shown to support solitary wave complexes that move with a constant velocity preserving their form. I obtain the families of such solitary wave complexes in two-dimensional two-component mixture condensates. ... More

Water masers in dusty environmentsJan 12 2004We study in details a pumping mechanism for the lambda=1.35 cm maser transition 6_16 -> 5_23 in ortho-water based on the difference between gas and dust temperatures. The upper maser level is populated radiatively through 4_14 -> 5_05 and 5_05 -> 6_16 ... More

Adaptive density estimation based on a mixture of GammasMay 26 2016We consider the problem of Bayesian density estimation on the positive semiline for possibly unbounded densities. We propose a hierarchical Bayesian estimator based on the gamma mixture prior which can be viewed as a location mixture. We study convergence ... More

Branch point area methods in conformal mappingJun 17 2004The classical estimate of Bieberbach -- that $|a_2|\le2$ for a given univalent function $\phi(z)=z+a_2z^2+...$ in the class $S$ -- leads to best possible pointwise estimates of the ratio $\phi''(z)/\phi'(z)$ for $\phi\in S$, first obtained by K\oe{}be ... More

An analysis of celestial pole offset observations in the free core nutation frequency bandApr 24 2007In this study, three empirical Free Core Nutation (FCN) models developed to the present time, MHB2000, Malkin's and Lambert's ones, are compared on the basis of representation of variations of the FCN amplitude and phase predicted by these models. It ... More

Limit theory for planar Gilbert tessellationsApr 30 2010A Gilbert tessellation arises by letting linear segments (cracks) in the plane unfold in time with constant speed, starting from a homogeneous Poisson point process of germs in randomly chosen directions. Whenever a growing edge hits an already existing ... More

Asymptotics of the order statistics for a process with a regenerative structureJul 05 2017Sep 14 2017In the paper, a regenerative process $\{X_n:n\in\mathbb{N}\}$ with finite mean cycle length is considered. For~$M_n^{(q)}$ denoting the $q$-th largest value in $\{X_k : 1\leqslant k \leqslant n\}$, we prove that \begin{equation*} \sup_{x\in\mathbb{R}} ... More

Maximising Bernoulli measures and dimension gaps for countable branched systemsFeb 21 2018Kifer, Peres, and Weiss proved that there exists $c_0>0,$ such that $\dim \mu\leq 1-c_0$ for any probability measure $\mu$ which makes the digits of the continued fraction expansion i.i.d. random variables. In this paper we prove that amongst this class ... More

Self-Similarity and Universality in Rayleigh-Taylor, Boussinesq TurbulenceJan 18 2008Aug 14 2008We report and discuss case study simulations of the Rayleigh-Taylor instability in the Boussinesq, incompressible regime developed to turbulence. Our main focus is on a statistical analysis of density and velocity fluctuations inside of the already developed ... More

Chain of Separable Binary Goppa Codes and their Minimal DistanceJul 27 2007It is shown that subclasses of separable binary Goppa codes, $\Gamma(L,G)$ - codes, with $L=\{\alpha \in GF(2^{2l}):G(\alpha)\neq 0 \}$ and special Goppa polynomials G(x) can be presented as a chain of embedded codes. The true minimal distance has been ... More

Predictions of Dynamically Emerging Brane Inflation ModelsJul 10 2006Nov 25 2006We confront the recent proposal of Emerging Brane Inflation with WMAP3+SDSS, finding a scalar spectral index of $n_s=0.9659^{+0.0049}_{-0.0052}$ in excellent agreement with observations. The proposal incorporates a preceding phase of isotropic, non accelerated ... More

Solitary wave complexes in two-component mixture condensatesDec 04 2004Axisymmetric three-dimensional solitary waves in uniform two-component mixture Bose-Einstein condensates are obtained as solutions of the coupled Gross-Pitaevskii equations with equal intracomponent but varying intercomponent interaction strengths. Several ... More

Fock factorizations, and decompositions of the $L^2$ spaces over general Levy processesApr 20 2003We explicitly construct and study an isometry between the spaces of square integrable functionals of an arbitrary Levy process and a vector-valued Gaussian white noise. In particular, we obtain explicit formulas for this isometry at the level of multiplicative ... More

Magnetic Schrödinger operators on periodic discrete graphsDec 27 2015We consider magnetic Schr\"odinger operators with periodic magnetic and electric potentials on periodic discrete graphs. The spectrum of the operators consists of an absolutely continuous part (a union of a finite number of non-degenerate bands) plus ... More

Solitary waves on vortex lines in Ginzburg--Landau modelsJul 19 2004Axisymmetric disturbances that preserve their form as they move along the vortex lines in uniform Bose-Einstein condensates are obtained numerically by the solution of the Gross-Pitaevskii equation. A continuous family of such solitary waves is shown ... More

Pade approximations of solitary wave solutions of the Gross-Pitaevskii equationJun 24 2003Dec 19 2003Pade approximants are used to find approximate vortex solutions of any winding number in the context of Gross-Pitaevskii equation for a uniform condensate and condensates with axisymmetric trapping potentials. Rational function and generalised rational ... More

A Constructive Proof of a Concentration Bound for Real-Valued Random VariablesMay 03 2019Almost 10 years ago, Impagliazzo and Kabanets (2010) gave a new combinatorial proof of Chernoff's bound for sums of bounded independent random variables. Unlike previous methods, their proof is constructive. This means that it provides an efficient randomized ... More

Comparing Techniques for Aggregating Interrelated Replications in Software EngineeringJul 18 2018Jul 29 2018Context: Researchers from different groups and institutions are collaborating towards the construction of groups of interrelated replications. Applying unsuitable techniques to aggregate interrelated replications' results may impact the reliability of ... More

On Koszulity for operads of Conformal Field TheoryApr 02 2013We study two closely related operads: the Gelfand-Dorfman operad GD and the Conformal Lie Operad CLie. The latter is the operad governing the Lie conformal algebra structure. We prove Koszulity of the Conformal Lie operad using the Groebner bases theory ... More

Non-Perturbative Instabilities as a Solution of the Cosmological Moduli ProblemJul 12 2005It is widely accepted that moduli in the mass range 10eV - $10^4$GeV which start to oscillate with an amplitude of the order of the Planck scale either jeopardize successful predictions of nucleosynthesis or overclose the Universe. It is shown that the ... More

Approximating integrals with respect to stationary probability measures of iterated function systemsJul 08 2019Jul 10 2019We study fast approximation of integrals with respect to stationary probability measures associated to iterated functions systems on the unit interval. We provide an algorithm for approximating the integrals under certain conditions on the iterated function ... More

Using the Singular Spectrum Analysis for Investigation of Troposphere ParametersNov 18 2009In this paper, the method of Singular Spectrum Analysis (SSA) is applied for investigation of the zenith troposphere delay time-series derived from VLBI observations. With the help of this method we can analyze the structure of time-series and separate ... More

Cartesian approach for constrained mechanical systemsNov 14 2010In the history of mechanics, there have been two points of view for studying mechanical systems: Newtonian and Cartesian. According the Descartes point of view, the motion of mechanical systems is described by the first-order differential equations in ... More

Cartesian approach for constrained mechanical system with three degree of freedomFeb 16 2009In the history of mechanics, there have been two points of view for studying mechanical systems: The Newtonian and the Cartesian. According the Descartes point of view, the motion of mechanical systems is described by the first-order differential equations ... More

Extremes of multidimensional stationary Gaussian random fieldsOct 10 2016May 11 2018Let $\{X(\mathbf{t}):\mathbf{t}=(t_1, t_2, \ldots, t_d)\in[0,\infty)^d\}$ be a centered stationary Gaussian field with almost surely continuous sample paths, unit variance and correlation function $r$ satisfying conditions $r(\mathbf{t})<1$ for every ... More

Direct and inverse spectral problems for a class of non-selfadjoint band matricesApr 19 2013The spectral properties of a class of band matrices are investigated. The reconstruction of matrices of this special class from given spectral data is also studied. Necessary and sufficient conditions for that reconstruction are found. The obtained results ... More

Reduction to first order of the Hamiltonian Constraint of General RelativityMar 28 2016Sep 19 2016In this work, a method for solving the constraints of general relativity is presented, where first all geometrical objects are written in terms of a set of orthonormal triads and a flat Weitzenbock connection, which depends on the triads and on a flat ... More

Conditional decoupling of random interlacementsAug 14 2015Mar 28 2016We prove a conditional decoupling inequality for the model of random interlacements in dimension $d\geq 3$: the conditional law of random interlacements on a box (or a ball) $A_1$ given the (not very "bad") configuration on a "distant" set $A_2$ does ... More

Unparticle inspired corrections to the Gravitational Quantum WellJul 16 2010Aug 28 2010We consider unparticle inspired corrections of the type ${(\frac{R_{G}}{r})}^\beta$ to the Newtonian potential in the context of the gravitational quantum well. The new energy spectrum is computed and bounds on the parameters of these corrections are ... More

The Stellar Halo in the Large Magellanic Cloud: Mass, Luminosity, and Microlensing PredictionsDec 17 2003Recently obtained kinematic data has shown that the Large Magellanic Cloud (LMC) possesses an old stellar halo. In order to further characterize the properties of this halo, parametric King models are fit to the surface density of RR Lyrae stars. Using ... More

Population II standard candle calibration of the Fundamental Plane of groups and clusters of galaxies and the Hubble ConstantMar 03 2003Sep 23 2006This paper has been withdrawn by the author.

Legendrian contact homology and topological entropySep 12 2014Oct 15 2016In this paper we study the growth rate of a version of Legendrian contact homology, which we call strip Legendrian contact homology, in 3-dimensional contact manifolds and its relation to the topological entropy of Reeb flows. We show that: if for a pair ... More

Searches for Dark Matter at the LHC: A Multivariate Analysis in the Mono-$Z$ ChannelJul 29 2015We study dark matter (DM) production in the mono-Z channel at the 13 TeV LHC both in an effective field theory framework as well as in simplified models with vector mediators, using a multivariate analysis. For DM-quark effective operators with scalar, ... More

Diffractive Physics in the Near FutureMar 19 2002This Paper summarize the present status and near term perspectives for Diffractive Physics at Tevatron. We describe the new detectors that are being installed around the CDF and D0 interaction regions, and discuss he physics topics accessible in view ... More

New results on the spectroscopy of XYZ states from LHC experimentsSep 01 2012The main results from LHC experiments on XYZ charmonium-like candidates are summarized.

Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soupAug 03 2018It has been recently understood (arXiv:1212.2885, arXiv:1310.4764, arXiv:1410.0605) that for a general class of percolation models on $\mathbb{Z}^d$ satisfying suitable decoupling inequalities, which includes i.a.\ Bernoulli percolation, random interlacements ... More

Unravelling the sbottom spin at the CERN LHCApr 02 2007Establishing that a signal of new physics is undoubtly supersymmetric requires not only the discovery of the supersymmetric partners but also probing their spins and couplings. We show that the sbottom spin can be probed at the CERN Large Hadron Collider ... More

K-Band Calibration of the Red Clump LuminosityMar 22 2000The average near-infrared (K-band) luminosity of 238 Hipparcos red clump giants is derived and then used to measure the distance to the Galactic center. These Hipparcos red clump giants have been previously employed as I-band standard candles. The advantage ... More

Structure of the Periphery of the Large Magellanic Cloud Revealed by 2MASSAug 18 2004Jun 06 2007This paper has been withdrawn.

Rotation of the Disk of the Large Magellanic CloudOct 04 2000Aug 26 2007This paper has been withdrawn

Charged Higgs Boson Pairs at the LHCMar 14 2005We compute the cross section for pair production of charged Higgs bosons at the LHC and compare the three production mechanisms. The bottom-parton scattering process is computed to NLO, and the validity of the bottom-parton approach is established in ... More

Machine Learning simulates Agent-Based ModelDec 12 2017Running agent-based models (ABMs) is a burdensome computational task, specially so when considering the flexibility ABMs intrinsically provide. This paper uses a bundle of model configuration parameters along with obtained results from a validated ABM ... More

Positive topological entropy for Reeb flows on 3-dimensional Anosov contact manifoldsDec 10 2015Let $(M, \xi)$ be a compact contact 3-manifold and assume that there exists a contact form $\alpha_0$ on $(M, \xi)$ whose Reeb flow is Anosov. We show this implies that every Reeb flow on $(M, \xi)$ has positive topological entropy. Our argument builds ... More

Ab initio Calculations of the Vibrational Modes of MnAs and Ga1-xMnxAsOct 18 2006In this work, we present our theoretical results for the equation of state and the phonon dispersions of MnAs, as well as the Mn concentration dependence of both the lattice parameter and the phonon frequencies of the cubic GaMnAs alloys. The results ... More

A Review of the Distance and Structure of the Large Magellanic CloudOct 23 2003Nov 26 2003The average of 14 recent measurements of the distance to the Large Magellanic Cloud (LMC) implies a true modulus of 18.50 +- 0.02 mag, and demonstrates a trend in the past 2 years of convergence toward a standard value. The distance indicators reviewed ... More

Radial Restricted Solid-on-Solid and Etching Interface Growth ModelsFeb 26 2018In this work, an approach to generate radial interfaces is presented. A radial network recursively obtained is used to implement discrete model rules designed originally for the investigation in flat substrates. In order to test the proposed scheme, we ... More

Soft QCD Results from D0Nov 29 2010This note presents some selected results on soft QCD studies done by the D0 collaboration at the Tevatron collider. Results on elastic proton-antiproton cross section, double parton scattering, underlying event and exclusive diffractive production are ... More

Giant Magneto-impedance in stress-annealed Finemet/Copper/Finemet based trilayer structuresJul 28 2007The resistive and reactive components of magneto-impedance (MI) for Finemet/Copper/Finemet sandwiched structures based on stress-annealed nanocrystalline Fe75Si15B6Cu1Nb3 ribbons as functions of different fields (longitudinal and perpendicular) and frequencies ... More

Legendrian contact homology and topological entropySep 12 2014Apr 23 2016In this paper we study the growth rate of a version of Legendrian contact homology, which we call strip Legendrian contact homology, in 3-dimensional contact manifolds and its relation to the topological entropy of Reeb flows. We show that: if for a pair ... More

Legendrian contact homology and topological entropySep 12 2014May 08 2017In this paper we study the growth rate of a version of Legendrian contact homology, which we call strip Legendrian contact homology, in 3-dimensional contact manifolds and its relation to the topological entropy of Reeb flows. We show that: if for a pair ... More

Uncovering the Beast: Discovery of Embedded Massive Stellar Clusters in W49AApr 15 2003We present subarcsecond J, H, and Ks images (FWHM ~ 0.5") of an unbiased 5'x 5' (16pc x 16pc) survey of the densest region of the W49 giant molecular cloud. The observations reveal 4 massive stellar clusters (with stars as massive as \~120 Msun), the ... More

Existence of heteroclinic solution for a class of non-autonomous second-order equationSep 29 2014In this paper, we use variational methods to prove the existence of heteroclinic solutions for a class of non-autonomous second-order equation.

Persistent Fine-Tuning in Supersymmetry and the NMSSMDec 15 2005We examine the use of modified Higgs sectors to address the little hierarchy problem of supersymmetry. Such models reduce weak-scale fine-tuning by allowing lighter stops, but they retain some fine-tuning independent of the Higgs. The modified Higgs sector ... More

Partial inverse problems for Sturm-Liouville operators on treesSep 04 2015Sep 11 2016In this paper, inverse spectral problems for Sturm-Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, then b - 1 spectral sets uniquely determine the potential functions on a ... More

Elicitability and backtestingAug 19 2016Conditional forecasts of risk measures play an important role in internal risk management of financial institutions as well as in regulatory capital calculations. In order to assess forecasting performance of a risk measurement procedure, risk measure ... More

Magnetic Braking RevisitedAug 20 2003We present a description for the angular momentum loss rate due to magnetic braking for late type stars taking into account recent observational data on the relationship between stellar activity and rotation. The analysis is based on an idealized two ... More

Reconstruction and Solvability for Discontinuous Hochstadt-Lieberman ProblemsApr 23 2019We consider Sturm-Liouville problems with a discontinuity in an interior point, which are motivated by the inverse problems for the torsional modes of the Earth. We assume that the potential on the right half-interval and the coefficient in the right ... More

Rewriting systems and the multiplicative structure in the cohomology of $π_1(Σ_{g_1}\times\cdots\timesΣ_{g_n})$ with twisted $\mathbb{Z}$-coefficientsJul 24 2019Let $\pi_g$ stand for the fundamental group of the closed orientable surface $\Sigma_g$ of genus $g$. We use a finite complete rewriting system for $\pi_g$ in order to produce an explicit contracting homotopy for the standard minimal $\pi_g$-free resolution ... More

Cross-Kerr effective Hamiltonian for a non-resonant four-level atomNov 12 2007Nov 28 2007We derive a cross-Kerr type effective Hamiltonian for the four-level atom interacting with three electromagnetic fields in the N-configuration. When the atom has relaxed into the ground state a cross-Kerr nonlinearity arises between two weak probe fields. ... More

Cross-Kerr interaction in a four-level atomic systemMay 14 2007Jul 12 2007We derive the form of the cross-Kerr interaction in a four-level atomic system in the N-configuration. We use time-independent perturbation theory to calculate the eigenenergies and eigenstates of the Schrodinger equation for the system. The system is ... More

Chaotic Dynamics of Stellar Spin Driven by Planets Undergoing Lidov-Kozai Oscillations: Resonances and Origin of ChaosNov 04 2014Many exoplanetary systems containing hot Jupiters are found to possess significant misalignment between the spin axis of the host star and the planet's orbital angular momentum axis. A possible channel for producing such misaligned hot Jupiters involves ... More