total 73151took 0.12s

Tidal dissipation in a homogeneous spherical body. II. Three examples: Mercury, Io, and Kepler-10 bJun 09 2014Oct 08 2014In Efroimsky & Makarov (2014), we derived from the first principles a formula for the tidal heating rate in a tidally perturbed homogeneous sphere. We compared it with the formulae used in the literature, and pointed out the differences. Using this result, ... More

Observations of red giants with suspected massive companionsFeb 08 2019Motivated by the existence of binary systems where a stellar-mass black hole is bound to a normal star, we selected four red giants with large radial velocity (RV) variation from the survey of SIM grid stars and monitored their RVs for several months. ... More

Radial velocities and binarity of southern SIM grid starsOct 29 2014We present analysis of precision radial velocities (RV) of 1134 mostly red giant stars in the southern sky, selected as candidate astrometric grid objects for the Space Interferometry Mission (SIM). Only a few (typically, 2 or 3) spectroscopic observations ... More

Astrometric Effects of Secular AberrationAug 24 2005One of the main endeavors of fundamental astrometry is to establish a practical realization of an inertial reference frame anchored to celestial objects whose positions are defined in the barycentric coordinates of the solar system. The development of ... More

Antisymmetric Tensor Fields, 4-Potentials and Indefinite MetricsFeb 18 2004We generalize the Stueckelberg formalism in the (1/2,1/2) representation of the Lorentz Group. Some relations to other modern-physics models are found.

The Barut Second-Order Equation, Dynamical Invariants and InteractionsMar 06 2005The second-order equation in the (1/2,0)+(0,1/2) representation of the Lorentz group has been proposed by A. Barut in the beginning of the 70s. It permits to explain the mass splitting of leptons e,mu,tau. Recently, the interest has grown to this model ... More

Why is the Moon synchronously rotating?May 23 2013If the Moon's spin evolved from faster prograde rates, it could have been captured into a higher spin-orbit resonance than the current 1:1 resonance. At the current value of orbital eccentricity, the probability of capture into the 3:2 resonance is as ... More

Variability of surface flows on the Sun and the implications for exoplanet detectionApr 08 2010The published Mount Wilson Doppler-shift measurements of the solar velocity field taken in 1967--1982 are revisited with a more accurate model, which includes two terms representing the meridional flow and three terms corresponding to the convective limb ... More

Equilibrium rotation of semiliquid exoplanets and satellitesJul 27 2015A wide range of exoplanet and exomoon models are characterized by a finite average rigidity and a viscosity much lower than the typical values for terrestrials. Such semiliquid bodies may or may not have rigid crusts with permanent figures. Unlike planets ... More

How terrestrial planets traverse spin-orbit resonances: A camel goes through a needle's eyeOct 12 2011Apr 04 2012The dynamical evolution of terrestrial planets resembling Mercury in the vicinity of spin-orbit resonances is investigated using comprehensive harmonic expansions of the tidal torque taking into account the frequency-dependent quality factors and Love ... More

Stability, chaos and entrapment of stars in very wide pairsNov 18 2011Dec 12 2011The relative motion of stars and other celestial objects in very wide pairs, separated by distances of the order of 1 pc, is strongly influenced by the tidal gravitational potential of the Galaxy. The Coriolis component of the horizontal tidal force in ... More

Tidal dissipation in a homogeneous spherical body. I. MethodsJun 09 2014Dec 21 2015A formula for the tidal dissipation rate in a spherical body is derived from first principles, to correct some mathematical inaccuracies found in the literature. The development is combined with the Darwin-Kaula formalism for tides. Our intermediate results ... More

Dynamical evolution and spin-orbit resonances of potentially habitable exoplanets. The case of GJ 667CNov 19 2013We investigate the dynamical evolution of the potentially habitable super-earth GJ 667Cc in the multiple system of at least two exoplanets orbiting a nearby M dwarf, paying special attention to its spin-orbital state. The published radial velocities for ... More

Photometric and astrometric vagaries of the enigma star KIC 8462852Sep 13 2016Sep 26 2016We apply a PCA-based pre-whitening method to the entire collection of main Kepler mission long-cadence data for KIC 8462852 spanning four years. This technique removes the correlated variations of instrumental origin in both the detected light curves ... More

No pseudosynchronous rotation for terrestrial planets and moonsSep 07 2012Jan 19 2013We reexamine the popular belief that a telluric planet or satellite on an eccentric orbit can, outside a spin-orbit resonance, be captured in a quasi-static tidal equilibrium called pseudosynchronous rotation. The existence of such configurations was ... More

Variability induced motion in Kepler dataMar 22 2016Variability induced motion (VIM) is an observable effect in simultaneous astrometric and photometric measurements caused by brightness variation in one of the components of a double source or blended image, which manifests itself as a strongly correlated ... More

Tidal Friction and Tidal Lagging. Applicability Limitations of a Popular Formula for the Tidal TorqueSep 07 2012Jan 19 2013Tidal torques play a key role in rotational dynamics of celestial bodies. They govern these bodies' tidal despinning, and also participate in the subtle process of entrapment of these bodies into spin-orbit resonances. This makes tidal torques directly ... More

Resonant energy exchange in nonlinear oscillatory chains and Limiting Phase Trajectories: from small to large systemsMar 30 2009We present an adequate analytical approach to the description of nonlinear vibration with strong energy exchange between weakly coupled oscillators and oscillatory chains. The fundamental notion of the limiting phase trajectory (LPT) corresponding to ... More

Dynamical evolution and spin-orbit resonances of potentially habitable exoplanets. The case of GJ 581dAug 03 2012Jan 21 2013GJ 581d is a potentially habitable super-Earth in the multiple system of exoplanets orbiting a nearby M dwarf. We investigate this planet's long-term dynamics, with an emphasis on its probable final rotation states acquired via tidal interaction with ... More

"An Era of Precision Astrophysics: Connecting Stars, Galaxies and the Universe," an Astro2010 Science White PaperFeb 18 2009Abridged: The golden age of astrophysics is upon us with both grand discoveries (extra-solar planets, dark matter, dark energy) and precision cosmology. Fundamental understanding of the working of stars and galaxies is within reach, thanks to newly available ... More

Forced libration of tidally synchronized planets and moonsNov 19 2015Tidal dissipation of kinetic energy, when it is strong enough, tends to synchronize the rotation of planets and moons with the mean orbital motion, or drive it into long-term stable spin-orbit resonances. As the orbital motion undergoes periodic acceleration ... More

Interaction of higher-dimensional rotating black holes with branesMar 13 2004Jul 28 2004We study interaction of rotating higher dimensional black holes with a brane in space-times with large extra dimensions. We demonstrate that in a general case a rotating black hole attached to a brane can loose bulk components of its angular momenta. ... More

Static Internal Representation Of Dynamic Situations Reveals Time Compaction In Human CognitionJun 27 2018The time-changing nature of our world demands processing of huge amounts of information in fast and reliable way to generate successful behaviors. Therefore, significant brain resources are devoted to process spatiotemporal information. Neural basis of ... More

Common Proper Motion Companions to Nearby Stars: Ages and EvolutionAug 25 2008A set of 41 nearby stars (closer than 25 pc) is investigated which have very wide binary and common proper motion (CPM) companions at projected separations between 1000 and $200 000$ AU. These companions are identified by astrometric positions and proper ... More

Revealing companions to nearby stars with astrometric accelerationApr 18 2012A subset of 51 Hipparcos astrometric binaries among FG dwarfs within 67pc has been surveyed with the NICI adaptive optics system at Gemini-S, directly resolving for the first time 17 sub-arcsecond companions and 7 wider ones. Using these data together ... More

Gravitational bending of light by planetary multipolesDec 04 2007General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived in the approximation of the linearized Einstein equations. All terms of order 1 microarcsecond ... More

Unconstrained Astrometric Orbits for Hipparcos Stars with Stochastic SolutionsJun 13 2006A considerable number of astrometric binaries whose positions on the sky do not obey the standard model of mean position, parallax and linear proper motion, were observed by the Hipparcos satellite. Some of them remain non-discovered, and their observational ... More

Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometersNov 11 2006Feb 08 2007General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived. All terms of order 1 microarcsecond are taken into account, parametrized, and classified ... More

The Closed Orbit Controllability CriteriumMar 05 2010We prove that every closed "general" trajectory of the control system $\Sigma_M$ has an open neighborhood on which $\Sigma_M$ is controllable if 1) this orbit contains some point where the Lie algebra rank condition ($LARC$) is satisfied, and 2) the set ... More

Mechanism of epitaxial self-assembly of Fe nanowedge islands on Mo(110)May 07 2004The deposition of ultrathin Fe films on the Mo(110) surface at elevated temperatures results in the formation of distinctive nanowedge islands supported on a pseudomorphic Fe layer. We propose a model explaining the growth mode of these wedge-shaped Fe ... More

Electrical conductivity of a monolayer produced by random sequential adsorption of linear $k$-mers onto a square latticeJul 28 2016The electrical conductivity of a monolayer produced by the random sequential adsorption (RSA) of linear $k$-mers onto a square lattice was studied by means of computer simulation. Overlapping with pre-deposited $k$-mers and detachment from the surface ... More

Approximate solution to abstract differential equations with variable domainMar 12 2010A new exponentially convergent algorithm is proposed for an abstract the first order differential equation with unbounded operator coefficient possessing a variable domain. The algorithm is based on a generalization of the Duhamel integral for vector-valued ... More

A Single Physical Model for Diverse Meteoroid Data SetsFeb 08 2019The orbital distributions of dust particles in interplanetary space are inferred from several meteoroid data sets under the constraints imposed by the orbital evolution of the particles due to the planetary gravity and Poynting-Robertson effect. Infrared ... More

The nearby young visual binary HIP 115147 and its common proper motion companion LSPM J2322+7847Sep 06 2007We report a late M-type, common proper motion companion to a nearby young visual binary HIP 115147 (V368 Cep), separated by 963 arcseconds from the primary K0 dwarf. This optically dim star has been identified as a candidate high proper motion, nearby ... More

Logical complexity of induced subgraph isomorphism for certain graph familiesFeb 10 2019We prove that, for every $\ell\geq 4$, there exists an $\ell$-vertex graph and a first order sentence having a quantifier depth at most $\ell-1$ defining the property of having an induced subgraph isomorphic to the given one. We prove that a first order ... More

UrHip Proper Motion CatalogSep 18 2015Proper motions are computed and collected in a catalog using the Hipparcos positions (epoch 1991.25) and URAT1 positions (epoch 2012.3 to 2014.6). The goal is to obtain a significant improvement on the proper motion accuracy of single stars in the northern ... More

The Worst Distortions of Astrometric Instruments and Orthonormal Models for Rectangular Fields of ViewOct 13 2011The non-orthogonality of algebraic polynomials of field coordinates traditionally used to model field-dependent corrections to astrometric measurements, gives rise to subtle adverse effects. In particular, certain field dependent perturbations in the ... More

The precious set of radio-optical reference frame objects in the light of Gaia DR2 dataNov 25 2018Feb 07 2019We investigate a sample of 3412 {\it International Celestial Reference Frame} (ICRF3) extragalactic radio-loud sources with accurate positions determined by VLBI in the S/X band, mostly active galactic nuclei (AGN) and quasars, which are cross-matched ... More

Notes on non-singular models of black holesSep 06 2016We discuss static spherically symmetric metrics which represent non-singular black holes in four- and higher-dimensional spacetime. We impose a set of restrictions, such as a regularity of the metric at the center $r=0$ and Schwarzschild asymptotic behavior ... More

Femtosecond nonlinear ultrasonics in gold probed with ultrashort surface plasmonsJul 29 2012Dec 22 2012Fundamental interactions induced by lattice vibrations on ultrafast time scales become increasingly important for modern nanoscience and technology. Experimental access to the physical properties of acoustic phonons in the THz frequency range and over ... More

Quantum Hele-Shaw flowNov 19 2004In this note, we discuss the quantum Hele-Shaw flow, a random measure process in the complex plane introduced by the physicists P.Wiegmann, A. Zabrodin, et al. This process arises in the theory of electronic droplets confined to a plane under a strong ... More

Nonlinear Transient Dynamics of Photoexcited Silicon Nanoantenna for Ultrafast All-Optical Signal ProcessingMar 14 2016Mar 16 2016Optically generated electron-hole plasma in high-index dielectric nanostructures was demonstrated as a means of tuning of their optical properties. However, until now an ultrafast operation regime of such plasma driven nanostructures has not been attained. ... More

Action and Hamiltonian for eternal black holesNov 01 1994We present the Hamiltonian, quasilocal energy, and angular momentum for a spacetime region spatially bounded by two timelike surfaces. The results are applied to the particular case of a spacetime representing an eternal black hole. It is shown that in ... More

Symbolic Algorithm of the Functional-Discrete Method for a Sturm-Liouville Problem with a Polynomial PotentialAug 11 2017Sep 04 2017A new symbolic algorithmic implementation of the general scheme of the exponentially convergent functional-discrete (FD-) method is developed and justified for the Sturm-Liouville problem on a finite interval for the Schr\"odinger equation with a polynomial ... More

Implementation of the Programming Language Dino -- A Case Study in Dynamic Language PerformanceApr 05 2016The article gives a brief overview of the current state of programming language Dino in order to see where its stands between other dynamic programming languages. Then it describes the current implementation, used tools and major implementation decisions ... More

A numeric-analytical method for solving the Cauchy problem for ordinary differential equationsAug 31 2010In the paper we offer a functional-discrete method for solving the Cauchy problem for the first order ordinary differential equations (ODEs). This method (FD-method) is in some sense similar to the Adomian Decomposition Method. But it is shown that for ... More

A Superexponentially Convergent Functional-Discrete Method for Solving the Cauchy Problem for Systems of Ordinary Differential EquationsDec 30 2010In the paper a new numerical-analytical method for solving the Cauchy problem for systems of ordinary differential equations of special form is presented. The method is based on the idea of the FD-method for solving the operator equations of general form, ... More

SI-method for solving stiff nonlinear boundary value problemsDec 22 2018In the present paper, we thoroughly investigate the theoretical properties of the SI-method, which was firstly introduced in arXiv:1601.04272v8 and proved to be remarkably stable when applied to a certain class of stiff boundary value problems. In particular, ... More

About chemical composition of the primary cosmic radiation at ultra-high energiesDec 08 2009The fluxes of electrons, positrons, gammas, Cherenkov photons and muons in individual extensive air showers induced by the primary protons and helium, oxygen and iron nuclei at the level of observation have been estimated with help of the code CORSICA ... More

Dual Stochastic Transformations of Solvable DiffusionsJul 16 2009Dec 02 2014We present new extensions to a method for constructing several families of solvable one-dimensional time-homogeneous diffusions whose transition densities are obtainable in analytically closed-form. Our approach is based on a dual application of the so-called ... More

Spectrum of cosmic rays with energy above $10^{17}$ eVNov 17 2004There are some discrepancies in the results on energy spectrum from Yakutsk, AGASA, and HiRes experiments. In this work differential energy spectrum of primary cosmic rays based on the Yakutsk EAS Array data is presented. For the largest events values ... More

Spin-orbit evolution of Mercury revisitedJun 29 2013Aug 24 2014While it is accepted that the eccentricity of Mercury (0.206) favours entrapment into the 3:2 spin-orbit resonance, open is the question how and when the capture took place. A recent work by Makarov (2012) has demonstrated that trapping into this resonance ... More

The possible feature of the energy spectrum of the primary cosmic rays at ultra-high energiesDec 08 2009The energies of the most energetic extensive air showers observed at the Yakutsk array have been estimated with help of the all detectors readings instead of using of the standard procedure with a parameter s(600). The energy of the most energetic extensive ... More

On dissipative and non-unitary solutions to operator commutation relationsMar 11 2015We study the (generalized) semi-Weyl commutation relations $$ U_gAU_g^*=g(A) \quad \text{ on }\quad \Dom(A), $$ where $A$ is a densely defined operator and $G\ni g\mapsto U_g$ is a unitary representation of the subgroup $G$ of the affine group $\cG$, ... More

Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equationFeb 20 2015Feb 01 2016We study the one dimensional periodic derivative nonlinear Schr\"odinger (DNLS) equation. This is known to be a completely integrable system, in the sense that there is an infinite sequence of formal integrals of motion $\int h_k$, $k\in \mathbb{Z}_{+}$. ... More

Direct surface charging and alkali-metal doping for tuning the interlayer magnetic order in planar nanostructuresJul 13 2015The continuous reduction of magnetic units to ultra small length scales inspires efforts to look for a suitable means of controlling magnetic states. In this study we show two surface charge alteration techniques for tuning the interlayer exchange coupling ... More

Quantum Spin Holography with Surface State ElectronsApr 05 2012In a recent paper Moon and coworkers [C.R. Moon et al., Nature Nanotechnology 4, 167 (2009)] have shown that the single-atom limit for information storage density can be overcome by using the coherence of electrons in a two-dimensional electron gas to ... More

Gaugino Condensation with a Doubly Suppressed Gravitino MassApr 24 2008Supersymmetry breakdown via gaugino condensation in heterotic string theory can lead to models with a doubly suppressed gravitino mass. A TeV scale gravitino can emerge from a condensate as large as the grand unified scale. We analyze the properties of ... More

QFT's With Action of Degree 3 and Higher and Degeneracy of TensorsMay 31 1997In this paper we develop a technique of computation of correlation functions in theories with action being cubic or higher degree form in terms of discriminants of corresponding tensors. These are analogues of formula $\int \exp (iT(x))dx\sim \det T^{-1/2}$ ... More

On Invariant TheoryDec 14 1995Jun 28 1997Here we develop a technique of computing the invariants of $n-$ary forms and systems of forms using the discriminants of corresponding multilinear forms built of their partial derivatives, which should be cosidered as analogues of classical discriminants ... More

Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and NormalizationNov 14 2007On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Relations with dual electrodynamics, with the Ogievetskii-Polubarinov notoph ... More

The Structure and the Distance of Collinder 121 from Hipparcos and Photometry: Resolving the DiscrepancyAug 24 2007We present further arguments that the Hipparcos parallaxes for some of the clusters and associations represented in the Hipparcos catalog should be used with caution in the study of the Galactic structure. It has been already shown that the discrepancy ... More

Extraction of Kaon Formfactors from K^- -> mu^- nu_mu gamma Decay at ISTRA+ SetupMay 19 2010Apr 12 2012The radiative decay K->mu nu gamma has been studied at ISTRA+ setup in a new kinematical region. About 22K events of K^- -> mu^- nu_mu gamma have been observed. The sign and value of Fv-Fa have been measured for the first time. The result is Fv-Fa=0.21(4)(4). ... More

Scattering of a Long Cosmic String by a Rotating Black HoleAug 03 2002Nov 03 2002The scattering of a straight, infinitely long string by a rotating black hole is considered. We assume that a string is moving with velocity v and that initially the string is parallel to the axis of rotation of the black hole. We demonstrate that as ... More

Bethe Ansatz and the Spectral Theory of affine Lie algebra-valued connections I. The simply-laced caseJan 29 2015Jun 16 2016We study the ODE/IM correspondence for ODE associated to $\hat{\mathfrak g}$-valued connections, for a simply-laced Lie algebra $\mathfrak g$. We prove that subdominant solutions to the ODE defined in different fundamental representations satisfy a set ... More

Bethe Ansatz and the Spectral Theory of affine Lie algebra--valued connections II. The non simply--laced caseNov 03 2015Jun 16 2016We assess the ODE/IM correspondence for the quantum $\mathfrak{g}$-KdV model, for a non-simply laced Lie algebra $\mathfrak{g}$. This is done by studying a meromorphic connection with values in the Langlands dual algebra of the affine Lie algebra ${\mathfrak{g}}^{(1)}$, ... More

Upper limit on the ultra-high-energy photon flux from AGASA and Yakutsk dataJan 19 2006We present the interpretation of the muon and scintillation signals of ultra-high-energy air showers observed by AGASA and Yakutsk extensive air shower array experiments. We consider case-by-case ten highest energy events with known muon content and conclude ... More

Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schrödinger Operators RevisitedMar 21 2008We provide a concise, yet fairly complete discussion of the concept of essential closures of subsets of the real axis and their intimate connection with the topological support of absolutely continuous measures. As an elementary application of the notion ... More

Exponentially convergent functional-discrete method for eigenvalue transmission problems with discontinuous flux and potential as a function in the space $L_1$Apr 11 2011Dec 08 2011Based on the functional-discrete technique (FD-method), an algorithm for eigenvalue transmission problems with discontinuous flux and integrable potential is developed. The case of the potential as a function belonging to the functional space $L_1$ is ... More

Super-Exponentially Convergent Parallel Algorithm for a Fractional Eigenvalue Problem of Jacobi-TypeJun 27 2017A new algorithm for eigenvalue problems for the fractional Jacobi type ODE is proposed. The algorithm is based on piecewise approximation of the coefficients of the differential equation with subsequent recursive procedure adapted from some homotopy considerations. ... More

Existence of the solution to a nonlocal-in-time evolutional problemJun 18 2014This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ... More

Secure gated detection scheme for quantum cryptographyJan 29 2011Several attacks have been proposed on quantum key distribution systems with gated single-photon detectors. The attacks involve triggering the detectors outside the center of the detector gate, and/or using bright illumination to exploit classical photodiode ... More

Cooperative effect of doping and temperature on the polaronic band structure in strongly correlated electron systems with strong electron-phonon interactionDec 08 2016In this work we investigate doping and temperature dependences of electronic structure of system with strong electronic correlations and strong electron-phonon interaction modeling cuprates in the frameworks of the three-band p-d-Holstein model by a polaronic ... More

Exponentially convergent numerical-analytical method for solving eigenvalue problems for singular differential operatorsSep 23 2013The article develops and proves an exponentially convergent numerical-analytical method (the FD-method) for solving Sturm-Liouville problems with a singular Legendre operator and a singular potential. Obtained within are sufficient conditions for convergence ... More

The FD-method for solving Sturm-Liouville problems with special singular differential operatorJul 29 2011In the paper we describe a superexponentially convergent numerical-analytical method for solving the eigenvalue problem for the some class of singular differential operators with boundary conditions. The method (FD-method) was firstly proposed by V. L. ... More

Temperature-dependent magnetospectroscopy of HgTe quantum wellsJun 17 2016Aug 30 2016We report on magnetospectroscopy of HgTe quantum wells in magnetic fields up to 45 T in temperature range from 4.2 K up to 185 K. We observe intra- and inter-band transitions from zero-mode Landau levels, which split from the bottom conduction and upper ... More

On the weak and ergodic limit of the spectral shift functionNov 19 2009We discuss convergence properties of the spectral shift functions associated with a pair of Schrodinger operators with Dirichlet boundary conditions at the end points of a finite interval (0, r) as the length of interval approaches infinity.

Double Poisson vertex algebras and non-commutative Hamiltonian equationsOct 13 2014May 23 2015We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study of non-commutative Hamiltionan PDEs. This is a generalization of the theory of double Poisson algebras, developed by Van den Bergh, which is used in the ... More

High-dimensional brain. A tool for encoding and rapid learning of memories by single neuronsOct 30 2017Jan 27 2018Codifying memories is one of the fundamental problems of modern Neuroscience. The functional mechanisms behind this phenomenon remain largely unknown. Experimental evidence suggests that some of the memory functions are performed by stratified brain structures ... More

Geometry of Lax pairs: particle motion and Killing-Yano tensorsOct 10 2012A geometric formulation of the Lax pair equation on a curved manifold is studied using phase space formalism. The corresponding (covariantly conserved) Lax tensor is defined and the method of generation of constants of motion from it is discussed. It ... More

Confined bulk states as a long-range sensor for impurities and a transfer channel for quantum informationApr 12 2012We show that confinement of bulk electrons can be observed at low-dimensional surface structures and can serve as a long-range sensor for the magnetism and electronic properties of single impurities or as a quantum information transfer channel with large ... More

Identification of 1.4 Million AGNs in the Mid-Infrared using WISE DataSep 24 2015We present an all-sky sample of ~ 1.4 million AGNs meeting a two color infrared photometric selection criteria for AGNs as applied to sources from the Wide-Field Infrared Survey Explorer final catalog release (AllWISE). We assess the spatial distribution ... More

Notes on Oscillator-Like Interactions of Various Spin Relativistic ParticlesMar 28 1994Mar 30 1994The equations for various spin particles with oscillator-like interactions are discussed in this talk. Contents: 1. Comment on "The Klein-Gordon Oscillator"; 2. The Dirac oscillator in quaternion form; 3. The Dirac-Dowker oscillator; 4. The Weinberg oscillator; ... More

A lecture on Arithmetic Mirror Symmetry and Calabi-Yau manifoldsDec 03 1996Feb 11 1997We extend our variant of mirror symmetry for K3 surfaces \cite{GN3} and clarify its relation with mirror symmetry for Calabi-Yau manifolds. We introduce two classes (for the models A and B) of Calabi-Yau manifolds fibrated by K3 surfaces with some special ... More

Automorphic Forms and Lorentzian Kac-Moody Algebras. Part IINov 24 1996Feb 10 1997We give variants of lifting construction, which define new classes of modular forms on the Siegel upper half-space of complex dimension 3 with respect to the full paramodular groups (defining moduli of Abelian surfaces with arbitrary polarization). The ... More

The Igusa modular forms and ``the simplest'' Lorentzian Kac--Moody algebrasMar 13 1996We find automorphic corrections for the Lorentzian Kac--Moody algebras with the simplest generalized Cartan matrices of rank 3: A_{1,0} = 2 0 -1 0 2 -2 -1 -2 2 and A_{1,I} = 2 -2 -1 -2 2 -1 -1 -1 2 For A_{1,0} this correction is given by the Igusa Sp_4(Z)-modular ... More

Siegel automorphic form corrections of some Lorentzian Kac--Moody Lie algebrasApr 10 1995Oct 04 1995We find automorphic form corrections which are generalized Lorentzian Kac--Moody superalgebras without odd real simple roots (see R. Borcherds \cite{Bo1} -- \cite{Bo7}, V. Kac \cite{Ka1} -- \cite{Ka3}, R. Moody \cite{Mo} and \S~6 of this paper) for two ... More

Automorphic Forms and Lorentzian Kac--Moody Algebras. Part IOct 31 1996Using the general method which was applied to prove finiteness of the set of hyperbolic generalized Cartan matrices of elliptic and parabolic type, we classify all symmetric (and twisted to symmetric) hyperbolic generalized Cartan matrices of elliptic ... More

K3 surfaces, Lorentzian Kac--Moody algebras and Mirror SymmetryOct 08 1995We consider the variant of Mirror Symmetry Conjecture for K3 surfaces which relates "geometry" of curves of a general member of a family of K3 with "algebraic functions" on the moduli of the mirror family. Lorentzian Kac--Moody algebras are involved in ... More

Question: Negative Group Delays and Action-at-a-DistanceFeb 17 1998We comment on the paper by M. W. Mitchell and R. Y. Chiao, ``Causality and negative group delay in a simple bandpass amplifier", Am. J. Phys. 66 (1), 14-19 (1998).

X-Ray Sources in Multiple StarsAug 25 2009Luminous X-ray stars are very often found in visual double or multiple stars. Binaries with periods of a few days possess the highest degree of coronal X-ray activity among regular, non-relativistic stars because of their fast, tidally driven rotation. ... More

An efficient approach for solving stiff nonlinear boundary value problemsJan 17 2016Apr 19 2018A new method for solving stiff boundary value problems is described and compared to other known approaches using the Troesch's problem as a test example. The method is based on the general idea of alternate approximation of either the unknown function ... More

The local stellar velocity field via vector spherical harmonicsMay 22 2007We analyze the local field of stellar tangential velocities for a sample of $42 339$ non-binary Hipparcos stars with accurate parallaxes, using a vector spherical harmonic formalism. We derive simple relations between the parameters of the classical linear ... More

"Hybrid" Black HolesDec 30 2014We discuss a solution of the Einstein equations, obtained by gluing the external Kerr metric and the internal Weyl metric, describing an axisymmetric static vacuum distorted black hole. These metrics are glued at the null surfaces representing their horizons. ... More

Scaling limits of random normal matrix processes at singular boundary pointsOct 29 2015Dec 22 2018We give a method for taking microscopic limits of normal matrix ensembles. We apply this method to study the behaviour near certain types of singular points on the boundary of the droplet. Our investigation includes ensembles without restrictions near ... More

A Lecture about classification of Lorentzian Kac-Moody algebras of the rank threeOct 31 2000This is the announcement and partly the review of our results about classification of Lorentzian Kac-Moody algebras of the rank three. One of our results gives the classification of Lorentzian Kac-Moody algebras with denominator identity functions which ... More

Stationary Large Amplitude Dynamics of the Finite Chain of Harmonically Coupled PendulumsMar 23 2016We present an analytical description of the large-amplitude stationary oscillations of the finite discrete system of harmonically-coupled pendulums without any restrictions to their amplitudes (excluding a vicinity of $\pi$). Although this model has numerous ... More

Rigidly rotating ZAMO surfaces in the Kerr spacetimeAug 27 2014A stationary observer in the Kerr spacetime has zero angular momentum if his/her angular velocity $\omega$ has a particular value, which depends on the position of the observer. Worldlines of such zero angular momentum observers (ZAMOs) with the same ... More

An efficient approach for solving stiff nonlinear boundary value problemsJan 17 2016Feb 27 2016A new method for solving stiff boundary value problems is described and compared to other known approaches using the Troesch's problems as a test example. A c++ implementation of the proposed method is available at https://github.com/imathsoft/MathSoftDevelopment. ... More

Conductance of a Single-mode Electron Waveguide with Statistically Identical Rough BoundariesDec 10 1997Transport characteristics of pure narrow 2D-conductors, in which the electron scattering is caused by rough side boundaries, have been studied. The conductance of such strips is highly sensitive to the intercorrelation properties of inhomogeneities of ... More