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OGLE Cepheids and RR Lyrae Stars in the Milky WayMar 08 2017We present new large samples of Galactic Cepheids and RR Lyrae stars from the OGLE Galaxy Variability Survey.

Blazhko Effect in the first overtone RR Lyrae stars of the OGLE Galactic bulge collectionDec 13 2018We present the analysis of the Blazhko effect - quasi-periodic modulation of pulsation amplitude and/or phase - in the Galactic bulge first overtone RR Lyrae stars (RRc). We used the data gathered during the fourth phase of the Optical Gravitational Lensing ... More

The Intrinsic I-Band Magnitude Dispersion of the Galactic Bulge Red ClumpMay 31 2011Jul 04 2011We measure the intrinsic magnitude dispersion of the Galactic bulge red clump (RC) using two different methods and arrive at an estimate of \sigma_{I} ~ 0.17 mag. We first estimate the width of the RC by analyzing in detail a sample of RC measurements ... More

A transiting extrasolar giant planet around the star OGLE-TR-113Apr 27 2004We report the independent discovery of a new extrasolar transiting planet around OGLE-TR-113, a candidate star from the Optical Gravitational Lensing Experiment. Small radial-velocity variations have been detected based on observations conducted with ... More

OGLE-SMC-LPV-00861 (LIN 9): the first proven Z And outburst in a Magellanic symbiotic starJun 18 2014We report on the discovery of a new Small Magellanic Cloud (SMC) symbiotic star, OGLE-SMC-LPV-00861, previously catalogued as H$\alpha$ emission line source LIN 9. The OGLE light curve shows multiple-maxima outburst behaviour over $\sim$1200 d with a ... More

No large population of unbound or wide-orbit Jupiter-mass planetsJul 24 2017Gravitational microlensing is the only method capable of exploring the entire population of free-floating planets down to Mars-mass objects, because the microlensing signal does not depend on the brightness of the lensing object. A characteristic timescale ... More

An algorithm to detect blends with eclipsing binaries in planet transit searchesJan 17 2005We present an algorithm that can detect blends of bright stars with fainter, un-associated eclipsing binaries. Such systems contaminate searches for transiting planets, in particular in crowded fields where blends are common. Spectroscopic follow-up observations ... More

A remarkable sample of new symbiotic stars towards the Galactic BulgeMay 21 2013Symbiotic stars are the longest orbital period interacting binaries, where nova-like outbursts are generated by the accretion of a high mass loss rate red giant wind onto a white dwarf companion. Long-term photometric monitoring surveys such as OGLE and ... More

The Magellanic Quasars Survey. I. Doubling the Number of Known AGNs Behind the Small Magellanic CloudFeb 03 2011We report the spectroscopic confirmation of 29 new, 12 plausible, and 3 previously known quasars behind the central ~1.5 deg^2 region of the Small Magellanic Cloud. These were identified in a single 2df/AAOmega observation on the Anglo-Australian Telescope ... More

Symbiotic stars and other Halpha emission line stars towards the Galactic BulgeMay 21 2013Symbiotic stars are interacting binaries with the longest orbital periods and their multi-component structure makes them rich astrophysical laboratories. The accretion of a high mass loss rate red giant wind on to a white dwarf (WD) makes them promising ... More

Measurement of Source Star Colors with the K2C9-CFHT Multi-color Microlensing SurveyMar 25 2018K2 Campaign 9 (K2C9) was the first space-based microlensing parallax survey capable of measuring microlensing parallaxes of free-floating planet candidate microlensing events. Simultaneous to K2C9 observations we conducted the K2C9 Canada-France-Hawaii ... More

The Optical Gravitational Lensing Experiment. Real Time Data Analysis Systems in the OGLE-III SurveyJan 08 2004We describe three real time data analysis systems implemented during the third phase of the OGLE survey (OGLE-III). The EWS system is designed to detect on-going microlensing events. The EEWS system monitors the microlensing phenomena for anomalies from ... More

The Optical Gravitational Lensing Experiment. Red Clump Stars as a Distance IndicatorOct 08 1999Jan 14 2000We present relation of the mean I-band brightness of red clump stars on metallicity. Red clump stars were proposed to be a very attractive standard candle for distance determination. The calibration is based on 284 nearby red giant stars whose high quality ... More

XROM and RCOM: Two New OGLE-III Real Time Data Analysis SystemsOct 13 2008We describe two new OGLE-III real time data analysis systems: XROM and RCOM. The XROM system has been designed to provide continuous real time photometric monitoring of the optical counterparts of X-ray sources while RCOM system provides real time photometry ... More

The Optical Gravitational Lensing Experiment. Is Interstellar Extinction Toward the Galactic Center Anomalous?Oct 16 2002Mar 03 2003Photometry of the Galactic bulge, collected during the OGLE-II microlensing search, indicates high and non-uniform interstellar extinction toward the observed fields. We use the mean I-band magnitude and V-I color of red clump stars as a tracer of interstellar ... More

Optical Gravitational Lensing Experiment. Population Effects on the Mean Brightness of the Red Clump StarsJul 09 1998Sep 02 1998We present an empirical test indicating that the mean I-band magnitude of the red clump stars, used as the standard candle in the recent distance determinations to the Magellanic Clouds and other objects, is age independent for intermediate age (2-10 ... More

Is Quasar Optical Variability a Damped Random Walk?Feb 16 2012Feb 22 2013The damped random walk (DRW) model is increasingly used to model the variability in quasar optical light curves, but it is still uncertain whether the DRW model provides an adequate description of quasar optical variability across all time scales. Using ... More

A D'-type symbiotic binary in the planetary nebula SMP LMC 88Feb 08 2018SMP LMC 88 is one of the planetary nebulae (PN) in the Large Magellanic Cloud. We identify in its spectrum Raman scattered O VI lines at 6825 and 7083A. This unambiguously classifies the central object of the nebula as a symbiotic star (SySt). We identified ... More

Robust Filtering of Artifacts in Difference Imaging for Rapid Transients DetectionJan 23 2016Real-time analysis and classification of observational data collected within synoptic sky surveys is a huge challenge due to constant growth of data volumes. Machine learning techniques are often applied in order to perform this task automatically. The ... More

Frequency of Hot Jupiters and Very Hot Jupiters from the OGLE-III Transit Surveys Toward the Galactic Bulge and CarinaJan 02 2006We derive the frequencies of hot Jupiters (HJs) with 3--5 day periods and very hot Jupiters (VHJs) with 1-3 day periods by comparing the planets actually detected in the OGLE-III survey with those predicted by our models. The models are constructed following ... More

Spectral and temporal properties of RX J0520.5-6932 (LXP 8.04) during a type-I outburstMay 28 2014We observed RX J0520.5-6932 in the X-rays and studied the optical light curve of its counterpart to verify it as a Be/X-ray binary. We performed an XMM-Newton anticipated target of opportunity observation in January 2013 during an X-ray outburst of the ... More

A New Non-Planetary Interpretation of the Microlensing Event OGLE-2013-BLG-0723Apr 22 2016Recently, the discovery of a Venus-mass planet orbiting a brown-dwarf host in a binary system was reported from the analysis of the microlensing event OGLE-2013-BLG-0723. We reanalyze the event considering the possibility of other interpretations. From ... More

The Light Curve Shapes as a Key to Resolving the Origin of Long Secondary Periods in Red Giant StarsApr 16 2014We present a study of OGLE light curves of red giant stars exhibiting long secondary periods (LSPs) - an enigmatic phenomenon commonly observed in stars on the upper red giant branch and asymptotic giant branch. We show that the light curves of LSP stars ... More

Network structure of phonographic market with characteristic similarities between musiciansSep 30 2012We investigate relations between best selling artists in last decade on phonographic market and from perspective of listeners by using the Social Network Analyzes. Starting network is obtained from the matrix of correlations between the world's best selling ... More

Correction to Low and Lapsley's article "Optimization Flow Control, I: Basic Algorithm and Convergence"Sep 21 2002Oct 08 2016In the note an error in Low and Lapsley's article ("Optimization Flow Control, I: Basic Algorithm and Convergence", IEEE/ACM Transactions on Networking, 7(6), pp. 861-874, 1999) is pointed out. Because of this error the proof of the Theorem 2 presented ... More

On the Lojasiewicz exponent of the gradient of a polynomial functionMar 19 1997Let h = \sum h_{\alpha \beta} X^\alpha Y^\beta be a polynomial with complex coefficients. The Lojasiewicz exponent of the gradient of h at infinity is the upper bound of the set of all real \lambda such that |grad h(x, y)| >= c|(x,y)|^\lambda in a neighbourhood ... More

Phenomenology of pp->pp eta reaction close to thresholdSep 22 2003The recent high statistics measurement of the pp -> pp eta reaction at an excess energy Q=15.5 MeV has been analysed by means of partial wave decomposition of the cross section. Guided by the dominance of the final state 1S0 pp interaction (FSI), we keep ... More

Four-dimensional Causal Dynamical Triangulations and an effective transfer matrixFeb 12 2013Causal Dynamical Triangulations is a background independent approach to quantum gravity. We show that there exists an effective transfer matrix labeled by the scale factor which properly describes the evolution of the quantum universe. In this framework ... More

On the structure of fixed-point sets of asymptotically regular semigroupsJan 04 2012We extend a few recent results of G\'{o}rnicki (2011) asserting that the set of fixed points of an asymptotically regular mapping is a retract of its domain. In particular, we prove that in some cases the resulting retraction is H\"{o}lder continuous. ... More

Life time of correlation between stocks prices on established and emerging marketsMay 31 2011The correlation coefficient between stocks depends on price history and includes information on hierarchical structure in financial markets. It is useful for portfolio selection and estimation of risk. I introduce the Life Time of Correlation between ... More

Universally Kuratowski-Ulam space and open-open gamesFeb 09 2012Feb 10 2012We examine the class of spaces in which the second player has winning strategy in the open-open game. We shown that this space is not an universally Kuratowski-Ulam. We also show that the games G and G7 introduced by Daniels, Kunen, Zhou "On the open-open ... More

Causal Dynamical Triangulations in Four DimensionsNov 29 2011Recent results obtained within a non-perturbative approach to quantum gravity based on the method of four-dimensional Causal Dynamical Triangulations are described. The phase diagram of the model consists of three phases. In the physically most interesting ... More

Hierarchical structure in phonographic marketMay 31 2011I find a topological arrangement of assets traded in a phonographic market which has associated a meaningful economic taxonomy. I continue using the Minimal Spanning Tree and the Life-time Of Correlations between assets, but now outside the stock markets. ... More

Maxwell's Equations for MagnetsMar 03 2011Oct 27 2014Magnetostatic fields in accelerators are conventionally described in terms of multipoles. We show that in two dimensions, multipole fields do provide solutions of Maxwell's equations, and we consider the distributions of electric currents and geometries ... More

A Class of Linear Positive Maps in Matrix AlgebrasJul 18 2003A class of linear positive, trace preserving maps in $M_n$ is given in terms of affine maps in $\bBR^{n^2-1}$ which map the closed unit ball into itself.

Comment on "AdS nonlinear instability: moving beyond spherical symmetry" [Class. Quantum Grav. 33 23LT01 (2016)]Nov 30 2016We argue that if the degeneracy of the spectrum of linear perturbations of AdS is properly taken into account, there are globally regular, time-periodic, asymptotically AdS solutions (geons) bifurcating from each linear eigenfrequency of AdS.

Alexander-Spanier cohomology and boundary of a domainJul 08 2012Jul 22 2015We investigate a property: a domain cuts the ambient space if and only if it's boundary is disconnected. Previously, we had shown that for compact manifolds this property is equivalent to the manifold having trivial 1-cohomology. We now generalize this ... More

Centering problems for probability measures on finite dimensional vector spacesJan 12 2010The paper deals with various centering problems for probability measures on finite dimensional vector spaces. We show that for every such measure there exists a vector $h$ satisfying $\mu*\delta(h)=S(\mu*\delta (h))$ for each symmetry $S$ of $\mu$, generalizing ... More

Eta invariants for flat manifoldsJan 08 2010May 02 2011Using H. Donnelly result from the article "Eta Invariants for G-Spaces" we calculate the eta invariants of the signature operator for almost all 7-dimensional flat manifolds with cyclic holonomy group. In all cases this eta invariants are an integer numbers. ... More

Weights in the cohomology of toric varietiesJan 27 2003Jun 16 2004We describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning ... More

On the commutativity of states in von Neumann algebrasSep 28 2014The notion of commutativity of two normal states on a von Neumann algebra was defined some time ago by means of the Pedersen-Takesaki theorem. In this note we aim at generalizing this notion to an arbitrary number of states, and obtaining some results ... More

Boundary Harnack Principle for fractional powers of Laplacian on the Sierpinski carpetMar 16 2005We prove the Boundary Harnack Principle related to fractional powers of Laplacian for some natural regions in the two-dimensional Sierpinski carpet. This is a natual application of a probabilistic method based on the Ikeda-Watanabe formula

From the spin-0 Duffin-Kemmer-Petiau to the Dirac equationSep 04 2018In the present work a transition from the spin-$0$ Duffin-Kemmer-Petiau equation to the Dirac equation is described. This transformation occurs when a crossed field changes into a certain longitudinal field. An experimental setup to carry out the transition ... More

A Myers-type theorem and compact Ricci solitonsMar 02 2004Let the Ricci curvature of a compact Riemannian manifold be greater, at every point, than the Lie derivative of the metric with respect to some fixed smooth vector field. It is shown that the fundamental group then has only finitely many conjugacy classes. ... More

Some remarks on relativistic zero-mass wave equations and supersymmetryApr 07 2013Apr 14 2013We study several formulations of zero-mass relativistic equations, stressing similarities between different frameworks. It is shown that all these massless wave equations have fermionic as well as bosonic solutions.

Generalized solutions of the Dirac equation, W bosons, and beta decayMay 14 2016We study the 7x7 Hagen-Hurley equations describing spin 1 particles. We split these equations, in the interacting case, into two Dirac equations with non-standard solutions. It is argued that these solutions describe decay of a virtual W boson in beta ... More

On the material geometry of continuously defective corrugated graphene sheetsJul 05 2014Dec 22 2014Geometrical objects describing the material geometry of continuously defective graphene sheets are introduced and their compatibility conditions are formulated. Effective edge dislocations embedded in the Riemann-Cartan material space and defined by their ... More

On open-open games of uncountable lengthAug 06 2012The aim of this note is to investigate the open-open game of uncountable length. We introduce a cardinal number $\mu(X)$, which says how long the Player I has to play to ensure a victory. It is proved that $\su(X)\leq\mu(X)\leq\su(X)^+$. We also introduce ... More

Dynamical Noncommutative SpheresDec 19 2001We introduce a family of noncommutative 4-spheres, such that the instanton projector has its first Chern class trivial: $ch_1(e) = B \chi + b \xi$. We construct for them a 4-dimensional cycle and calculate explicitly the Chern-Connes paring for the instanton ... More

Wodzicki residue and minimal operators on a noncommutative 4-dimensional torusJun 16 2013We compute the Wodzicki residue of the inverse of a conformally rescaled Laplace operator over a 4-dimensional noncommutative torus. We show that the straightforward generalization of the Laplace-Beltrami operator to the noncommutative case is not the ... More

Examples of Connective C*-algebrasApr 15 2019Jun 11 2019We present some class of connective Bieberbach groups

The eigenvectors of semigroups of positive maps on von Neumann algebrasNov 23 2009The eigenvectors of an ergodic semigroup of linear normal positive unital maps on a von Neumann algebra are described. Moreover, it is shown by means of examples, that mere positivity of the maps in question is not sufficient for Frobenius theory as in ... More

Universality of the Linear Potential in Effective Models for the Low Energy QCD coupled with the Dilaton FieldOct 20 2003QCD motivated effective models coupled with the cosmological dilaton field are analyzed. It is shown that all models possess confining solutions with the linear potential of confinement even thought such solutions are not observed in the original effective ... More

Towards a self-consistent model of analogue gravitySep 13 2005A nonlinear scalar field theory from which an effective metric can be deduced is considered. This metric is shown to be compatible with requirements of general relativity. It is demonstrated that there is a class of solutions which fulfill both the nonlinear ... More

Quantum backreaction (Casimir) effect I. What are admissible idealizations?Dec 13 2004Casimir effect, in a broad interpretation which we adopt here, consists in a backreaction of a quantum system to adiabatically changing external conditions. Although the system is usually taken to be a quantum field, we show that this restriction rather ... More

Differential cross sections for muonic atom scattering from hydrogenic moleculesAug 24 2006The differential cross sections for low-energy muonic hydrogen atom scattering from hydrogenic molecules are directly expressed by the corresponding amplitudes for muonic atom scattering from hydrogen-isotope nuclei. The energy and angular dependence ... More

Strong divisibility and lcm-sequencesOct 09 2013Let $R$ be a gcd-domain (for example let $R$ be a unique factorization domain), and let $(a_n)_{n\geqslant1}$ be a sequence of nonzero elements in $R$. We prove that $\gcd(a_n,a_m)=a_{\gcd(n,m)}$ for all $n,m\geqslant1$ if and only if $$a_n=\prod\limits_{d\mid ... More

The transfer matrix in four-dimensional Causal Dynamical TriangulationsFeb 05 2013Causal Dynamical Triangulations is a background independent approach to quantum gravity. In this paper we introduce a phenomenological transfer matrix model, where at each time step a reduced set of quantum states is used. The states are solely characterized ... More

X-shaped radio sources as parent population of core-dominated triple blazarsDec 10 2012Dec 13 2012There are a number of theories explaining the nature of the so-called X-shaped radio sources. According to one of them, an X-shaped source is indeed a cross whose one arm is associated with a double radio source that has changed its orientation in space, ... More

Infraparticle problem, asymptotic fields and Haag-Ruelle theoryOct 05 2012Apr 15 2013In this article we want to argue that an appropriate generalization of the Wigner concepts may lead to an asymptotic particle with well-defined mass, although no mass hyperboloid in the energy-momentum spectrum exists.

Infrared limit in external field scatteringFeb 20 2012May 17 2012Scattering of electrons/positrons by external classical electromagnetic wave packet is considered in infrared limit. In this limit the scattering operator exists and produces physical effects, although the scattering cross-section is trivial.

Hermitian and non-Hermitian covariance estimators for multivariate Gaussian and non-Gaussian assets from random matrix theoryOct 14 2010May 20 2012The random matrix theory method of planar Gaussian diagrammatic expansion is applied to find the mean spectral density of the Hermitian equal-time and non-Hermitian time-lagged cross-covariance estimators, firstly in the form of master equations for the ... More

Remarks to the paper "Control system for reducing energy consumption in backbone computer network" from "Concurrency and Computation: Practice and Experience" journalOct 15 2016This paper indicates two errors in the formulation of the main optimization model in the article "Control system for reducing energy consumption in backbone computer network" by Niewiadomska-Szynkiewicz et al. and shows how to fix them.

On wave propagation in viscoelastic media with concave creep complianceFeb 07 2013Mar 28 2013It is proved that the attenuation function of a viscoelastic medium with a non-decreasing and concave creep compliance is sublinear in the high frequency range.

Structure of the time projection for stopping times in von Neumann algebrasNov 15 2002We give an explicit formula for the time projection in an arbitrary von Neumann algebra from which all its basic properties can be easily derived. The analysis of the situation when this time projection is a conditional expectation is also performed.

Non-standard solutions of relativistic wave equations and decays of elementary particlesApr 13 2017May 22 2017We carry out a constructive review of non-standard solutions of relativistic wave equations. Such solutions are obtained via splitting of relativistic wave equations written in spinor form. All these solutions are also solutions of the Dirac equation ... More

Explicit example of collapsing kappa^+ in iteration of kappa-proper forcingsAug 05 2018We give an example of iteration of length omega of (<kappa)-complete kappa^+-cc forcing notions with the limit collapsing kappa^+. The construction is decoded from the proof of Shelah [Proper and Improper Forcing, Appendix, Theorem 3.6(1)].

Computing equivariant characteristic classes of singular varietiesAug 04 2013The paper is based on a talk. Complete exposition is given in "Equivariant Hirzebruch class for singular varieties". Starting from the classical theory we describe Hirzebruch class and the related Todd genus of a complex singular algebraic varieties. ... More

Formality of equivariant intersection cohomologyJan 23 2001Dec 18 2001We present several approaches to equivariant intersection cohomology. We show that for a complete algebraic variety acted by a connected algebraic group $G$ it is a free module over $H^*(BG)$. The result follows from the decomposition theorem or from ... More

Equivariant Chern classes and localization theoremOct 25 2011Jun 06 2012For a complex variety with a torus action we propose a new method of computing Chern-Schwartz-MacPherson classes. The method does not apply resolution of singularities. It is based on Localization Theorem in equivariant cohomology.

Pure homology of algebraic varietiesFeb 27 2003Sep 07 2003We show that for a complete complex algebraic variety the pure component of homology coincides with the image of intersection homology. Therefore pure homology is topologically invariant. To obtain slightly more general results we introduce "image homology" ... More

Residue forms on singular hypersurfacesJan 27 2003Apr 05 2005The purpose of this paper is to point out a relation between the canonical sheaf and the intersection complex of a singular algebraic variety. We focus on the hypersurface case. Let $M$ be a complex manifold, $X\subset M$ a singular hypersurface. We study ... More

On lower semicontinuous multifunctions in quasi-uniform and vector spacesApr 10 2002Given a cover $\mathcal{B}$ of a quasi-uniform space $Y$ we introduce a concept of lower semicontinuity for multifunctions $F:X\to 2^Y$, called $\mathcal{B}$-lsc. In this way, we get a common description of Vietoris-lsc, Hausdorff-lsc, and bounded-Hausdorff-lsc ... More

A short Brownian motion proof of the Riemann hypothesisJul 27 2007We give a short probabilistic (a Brownian motion) proof of the Riemann hypothesis based on some surprising, unexpected and deep algebraic conjecture (MAC in short) concerning the relation between the Riemann zeta $\xi$ and a trivial zeta $\zeta_{t}$. ... More

The Riemann hypothesis - an elementary analytic approach based on complex Laplace transformJun 13 2007An elementary analytic proof of the famous Riemann hypothesis is given. The main "accent" of the proof is a both using of the 2-dimensional double real and complex Laplace integral representations of the Green function $\mid z \mid^{-2}$.

Examples of Connective C*-algebrasApr 15 2019We prove that any torsion free crystallographic group with the infinite abelianization is connective.

Noncompactness and maximum mobility of type III Ricci-flat self-dual neutral Walker four-manifoldsMay 12 2009It is shown that a self-dual neutral Einstein four-manifold of Petrov type III, admitting a two-dimensional null parallel distribution compatible with the orientation, cannot be compact or locally homogeneous, and its maximum possible degree of mobility ... More

Non-Walker Self-Dual Neutral Einstein Four-Manifolds of Petrov Type IIISep 04 2008Sep 05 2008The local structure of the manifolds named in the title is described. Although curvature homogeneous, they are not, in general, locally homogeneous. Not all of them are Ricci-flat, which answers an existence question about type III Jordan-Osserman metrics, ... More

SU(1,1) group action and the corresponding Bloch equationOct 31 2009Discrete time dynamics on the SU(1,1) group is studied. It is shown that a map acting in the dual space is the stroboscopic map for a SU(1,1) Bloch equation. Exact solution of the map is used to elucidate the corresponding dynamics. It is shown that dynamics ... More

On perpetual American options in a multidimensional Black-Scholes modelJan 02 2019We consider the problem o pricing perpetual American options written on dividend-paying assets whose price dynamics follow a multidimensional Black and Scholes model. For convex Lipschitz continuous functions, we give a probabilistic characterization ... More

Complexity Threshold for Functioning Directed Networks in Damage Size DistributionApr 21 2010A certain complexity threshold is proposed which defines the term `complex network' for RSN, e.g. Kauffman networks with s>=2 - more than two equally probable state variants. Such Kauffman networks are no longer Boolean networks. RSN are different than ... More

Splitting the Kemmer-Duffin-Petiau EquationsSep 04 2003We study internal structure of the Kemmer-Duffin-Petiau equations for spin-0 and spin-1 mesons. We demonstrate, that the Kemmer-Duffin-Petiau equations can be splitted into constituent equations, describing particles with definite mass and broken Lorentz ... More

Semidirect product of CCR and CAR algebras and asymptotic states in quantum electrodynamicsNov 10 1997Jul 31 1998A C*-algebra containing the CCR and CAR algebras as its subalgebras and naturally described as the semidirect product of these algebras is discussed. A particular example of this structure is considered as a model for the algebra of asymptotic fields ... More

Differential cross sections for muonic atom scattering in solid hydrogenic targetsDec 30 2007The differential cross sections for low-energy muonic hydrogen atom scattering in solid molecular H$_2$, D$_2$ and T$_2$ targets under low pressure have been calculated for various temperatures. The polycrystalline fcc and hcp structure of the solid hydrogenic ... More

Theory of electromagnetic fieldsNov 18 2011Oct 27 2014We discuss the theory of electromagnetic fields, with an emphasis on aspects relevant to radiofrequency systems in particle accelerators. We begin by reviewing Maxwell's equations and their physical significance. We show that in free space, there are ... More

Repeatable light paths in the shearfree normal cosmological modelsMay 06 2011Aug 22 2011Conditions for the existence of repeatable light paths (RLPs) in the shearfree normal cosmological models are investigated. It is found that in the conformally nonflat models the only RLPs are radial null geodesics (in the spherical case) and their analogues ... More

How to generate and measure anomalous weakly non-ergodic Brownian motion in simple systemsMay 30 2012It is shown that in systems with time-dependent and/or spatially nonuniform temperature $T(t,x)$, (i) most of the transport processes is weakly non-ergodic, and (ii) the diffusion (Brownian motion, BM) is anomalous. A few examples of simple arrangements, ... More

Externally-driven transformations of vortex textures in flat submicrometer magnetsMay 20 2012Two effects of oscillatory transformations of vortex textures in flat nanomagnets due to the application of an external field or a spin-polarized electric current are analytically described with relevance to soft-magnetic structures of submicrometer sizes ... More

Domain-wall complexes in ferromagnetic stripesJan 27 2012Sep 04 2012Interaction of domain walls (DWs) in ferromagnetic stripes is studied with relevance to the formation of stable complexes of many domains. Two DW system is described with the Landau-Lifshitz-Gilbert equation including regimes of narrow and wide stripes ... More

The Sommerfeld enhancement for scalar particles and application to sfermion co-annihilation regionsFeb 21 2011Apr 13 2011We study the impact of the Sommerfeld enhancement on the thermal relic density of the lightest neutralino in the case of large co-annihilation effects with a scalar particle. The proper way of including the Sommerfeld effect in this case is discussed, ... More

Python for education: the exact cover problemOct 28 2010Python implementation of Algorithm X by Knuth is presented. Algorithm X finds all solutions to the exact cover problem. The exemplary results for pentominoes, Latin squares and Sudoku are given.

Projective quantum states for Loop Quantum Gravity coupled to tensor fieldsJan 21 2016We present a construction of kinematic quantum states for theories of tensor fields of an arbitrary sort. The construction is based on projective techniques by Kijowski. Applying projective quantum states for Loop Quantum Gravity obtained by Lanery and ... More

Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an exampleMay 29 2006Mar 30 2013A simple diffeomorphism invariant theory of connections with the non-compact structure group R of real numbers is quantized. The theory is defined on a four-dimensional 'space-time' by an action resembling closely the self-dual Plebanski action for general ... More

Hilbert space built over connections with a non-compact structure groupJun 08 2004Mar 17 2005Quantization of general relativity in terms of SL(2,C)-connections (i.e. in terms of the complex Ashtekar variables) is technically difficult because of the non-compactness of SL(2,C). The difficulties concern the construction of a diffeomorphism invariant ... More

Amdahl's and Gustafson-Barsis laws revisitedSep 06 2008The paper presents a simple derivation of the Gustafson-Barsis law from the Amdahl's law. In the computer literature these two laws describing the speedup limits of parallel applications are derived separately. It is shown, that treating the time of the ... More

Errors in Low and Lapsley's article "Optimization Flow Control, I: Basic Algorithm and Convergence"Sep 21 2002Oct 08 2016In the note two errors in Low and Lapsley's article "Optimization Flow Control, I: Basic Algorithm and Convergence", "IEEE/ACM Transactions on Networking", 7(6), pp. 861-874, 1999, are shown. Because of these errors the proofs of both theorems presented ... More

Einstein-Cartan TheoryJun 14 2006The Einstein--Cartan Theory (ECT) of gravity is a modification of General Relativity Theory (GRT), allowing space-time to have torsion, in addition to curvature, and relating torsion to the density of intrinsic angular momentum. This modification was ... More

Reflections and spinors on manifoldsSep 21 1998This paper reviews some recent work on (s)pin structures and the Dirac operator on hypersurfaces (in particular, on spheres), on real projective spaces and quadrics. Two approaches to spinor fields on manifolds are compared. The action of space and time ... More

Structural tendencies - Effects of adaptive evolution of complex (chaotic) systemsJan 08 2008We describe systems using Kauffman and similar networks. They are directed funct ioning networks consisting of finite number of nodes with finite number of discr ete states evaluated in synchronous mode of discrete time. In this paper we introduce the ... More

Debunking the black hole information paradoxFeb 27 2010The vivid debate concerning the paradox of information being lost when objects are swallowed by a black hole is shown to be void. We argue that no information is ever missing for any observer neither located above, nor falling beneath the event horizon. ... More