Results for "Joanna Mikolajewska"

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Symbiotic Stars in the Magellanic CloudsFeb 24 2004Orbital periods and other parameters of symbiotic binaries in the LMC and SMC are presented and discussed. In particular, the symbiotic stars in the MCs are compared with those in the Milky Way.
Observed Properties of Mass Loss in Symbiotic BinariesJan 03 2000Both the red giants and the Mira variables in symbiotic systems have systematically higher mass-loss rates than do typical galactic giants and Miras, which suggests that only very evolved giants, and so those with highest mass-loss rates, can support ... More
Symbiotic NovaeNov 25 2010Mar 31 2011The symbiotic novae are thermonuclear novae in symbiotic binary systems -- interacting binaries with evolved red giant donors, and the longest orbital periods. This paper aims at presenting physical characteristics of these objects and discussing their ... More
Orbital and stellar parameters of symbiotic starsOct 22 2002This paper reviews current knowledge of symbiotic binaries, with special emphasis on their multifrequency observational characteristics, and basic parameters of the symbiotic system components. We start with a brief presentation of variable phenomena ... More
Optical and Near-IR Monitoring of Symbiotic Binary SystemsMar 29 2001Symbiotic stars are long-period interacting binary systems in which an evolved red giant star transfers material to its much hotter compact companion. Such a composition places them among the most variable stars. In addition to periodic variations due ... More
The Place of Recurrent Novae among the Symbiotic StarsMar 26 2008The observational properties of recurrent novae indicate that they can be divided into two subclasses:systems with a dwarf and a red giant secondary, respectively. The second type -- which includes RS Oph -- bears many similarities to symbiotic stars. ... More
FUSE Spectroscopic Analysis of the Slowest Symbiotic Nova AG Peg During QuiescenceFeb 26 2019We present a far ultraviolet spectroscopic analysis of the slowest known symbiotic nova AG Peg (M3/4III giant + hot white dwarf; P = 818.4 days) which underwent a nova explosion in 1850 followed by a very slow decline that did not end until 1996, marking ... More
A Survey of the Local Group of Galaxies for Symbiotic Binary Stars. I. First detection of symbiotic stars in M33Aug 17 2016We present and discuss initial selection criteria and first results in M33 from a systematic search for extragalactic symbiotic stars. We show that the presence of diffuse interstellar gas emission can significantly contaminate the spectra of symbiotic ... More
Cyg X-3: a low-mass black hole or a neutron starAug 27 2012Nov 14 2012Cyg X-3 is a highly interesting accreting X-ray binary, emitting from the radio to high-energy gamma-rays. It consists of a compact object wind-fed by a Wolf-Rayet (WR) star, but the masses of the components and the mass-loss rate have been a subject ... More
An X-Ray and Optical Light Curv Model of the Eclipsing Symbiotic Binary SMC3Nov 25 2012Some binary evolution scenarios to Type Ia supernovae include long-period binaries that evolve to symbiotic supersoft X-ray sources in their late stage of evolution. However, symbiotic stars with steady hydrogen burning on the white dwarf's (WD) surface ... More
On the resolved radio emission from AG Draconis: evidence for jet ejection?Jun 27 2002The recent detection of resolved radio emission from AG Dra by MERLIN reported by Ogley et al. is discussed in the context of the wind environment and the physical parameters and geometry of this symbiotic binary system. In particular, it is shown that ... More
Chemical abundance analysis of symbiotic giants - II. AE Ara, BX Mon, KX TrA, and CL ScoOct 10 2014Dec 02 2014Knowledge of the elemental abundances of symbiotic giants is essential to address the role of chemical composition in the evolution of symbiotic binaries, to map their parent population, and to trace their mass transfer history. However, there are few ... More
First detection and characterization of symbiotic stars in M31Jun 11 2014Jul 22 2014Symbiotic binaries are putative progenitors of type Ia supernovae. The census of Galactic symbiotic binaries is so incomplete that we cannot reliably estimate the total population of these stars, and use it to check whether that number is consistent with ... More
Evolution of the Symbiotic Nova PU Vul -- Outbursting White Dwarf, Nebulae, and Pulsating Red Giant CompanionFeb 28 2012We present a composite light-curve model of the symbiotic nova PU Vul (Nova Vulpeculae 1979) that shows a long-lasted flat optical peak followed by a slow decline. Our model light-curve consists of three components of emission, i.e., an outbursting white ... More
The first near infrared detection of XTE J1118+480 in quiescenceMay 26 2005We report the first quiescent detection of KV UMa, the optical counterpart of XTE J1118+480 at near infrared. The observed magnitudes and colours are consistent with a K7-M0 V star, at the distance 1.4 +/- 0.2 kpc. The light curve shows strong orbital ... More
Probing the Accreting Hot Components in Six S-Type Symbiotic VariablesNov 23 2015We have carried out a spectroscopic analysis of the far ultraviolet spectra of six symbiotic variables. Two systems, LT Del, which has had one recorded outburst, and BD-21 3873 (= IV Vir) which has had no recorded outburst, are yellow symbiotic systems. ... More
Chemical abundance analysis of symbiotic giants - III. Metallicity and CNO abundance patterns in 24 southern systemsDec 24 2014Nov 13 2015The elemental abundances of symbiotic giants are essential to address the role of chemical composition in the evolution of symbiotic binaries, to map their parent population, and to trace their mass transfer history. However, the number of symbiotic giants ... 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
Active phases and flickering of a symbiotic recurrent nova T CrBJul 22 2016T CrB is a symbiotic recurrent nova known to exhibit active phases, characterised by apparent increases in the hot component temperature and the appearance of flickering, i.e. changes in the observed flux on the time-scale of minutes. Historical UV observations ... More
Characterization of the Most Luminous Star in M33: A Super Symbiotic BinaryDec 18 2014Jan 05 2015We present the first spectrum of the most luminous infrared star in M33, and use it to demonstrate that the object is almost certainly a binary composed of a massive O star and a dust-enshrouded Red Hypergiant. This is the most luminous symbiotic binary ... More
First spatial resolution of the stellar components of the interacting binary CH CygniOct 27 2009Dec 13 2009We report the first resolved bispectrum speckle interferometry of the symbiotic binary CH Cyg. The measured component separation, $\rho=42 \pm 2$ mas, is consistent with the one derived from the known spectroscopic orbit and distance. In particular, our ... More
Wind Roche Lobe Overflow as a way to make type Ia supernova from the widest symbiotic systemsDec 06 2018Symbiotic stars are interacting binaries with one of the longest orbital periods. Since they can contain a massive white dwarf with a high accretion rate they are considered a possible type Ia supernovae (SNe Ia) progenitors. Among symbiotic binaries ... More
New binary parameters for the symbiotic recurrent nova T Coronae BorealisNov 13 1997Apr 19 1998The amplitude of the ellipsoidal variability, the mass function, and the evolutionary limits on the component masses have been used to constrain the binary system parameters. Contrary to all previous studies, our analysis shows that the mass ratio of ... More
The spectroscopic orbit and the geometry of R AqrApr 25 2008Jan 14 2009R Aqr is one of the closest symbiotic binaries and the only D-type system with radial velocity data suitable for orbital parameters estimation. The aims of our study are to derive a reliable spectroscopic orbit of the Mira component, and to establish ... More
On the radio spectrum of CI Cygni: a test of popular models for symbiotic starsJan 30 2001We have determined the spectral energy distribution at wavelengths between 6 cm and 0.85 mm for the proto-typical S(stellar)-type symbiotic star, CI Cygni, during quiescence. Data were obtained simultaneously with the Very Large Array and the SCUBA sub-millimetre ... More
Recurrent Novae at Quiescence: Systems with Giant SecondariesDec 23 1998Spectroscopic and photometric behaviour of the class of recurrent novae with giant secondaries (T Coronae Borealis, RS Ophiuchi, V3890 Sagittarii and V745 Scorpii) at quiescence are presented in this study. The hot component in these systems is variable, ... More
Chemical abundance analysis of symbiotic giants. RW Hya, SY Mus, BX Mon, and AE AraFeb 21 2014Symbiotic stars are the long period, binary systems of strongly interacting stars at the final stages of evolution which can be useful tool to understand the chemical evolution of the Galaxy and the formation of stellar populations. Knowledge of the chemical ... More
The first transition Wolf-Rayet WN/C star in M31Oct 12 2015Three decades of searches have revealed 154 Wolf-Rayet (WR) stars in M31, with 62 of WC type, 92 of WN type and zero of transition type WN/C or WC/N. In apparent contrast, about two percent of the WR stars in the Galaxy, the LMC and M33 simultaneously ... More
LMC S63: a historical reappraisal of the outburst behaviour of a deeply eclipsing Magellanic symbiotic starMay 28 2015We present an analysis of multi-epoch low-resolution spectrophotometry, complemented by the light curves provided by massive photometric surveys spanning over 100 years, of the symbiotic binary LMC S63. We showed that it is an eclipsing binary with the ... More
The symbiotic binary system RX Puppis: a possible recurrent nova with a Mira companionJan 05 1999We present an analysis of photometric and spectroscopic observations of the symbiotic binary system RX Pup with the aims of developing a reliable binary for the system and identifying mechanisms responsible for its spectacular activity. The binary is ... More
LMC S154: the first Magellanic symbiotic recurrent novaFeb 07 2019Classical nova outburst has been suggested for a number of extragalactic symbiotic stars, but in none of the systems has it been proven. In this work we study the nature of one of these systems, LMC S154. We gathered archival photometric observations ... More
Broad-band X-ray/gamma-ray spectra and binary parameters of GX 339-4 and their astrophysical implicationsJul 29 1998We present X-ray/gamma-ray spectra of the binary GX 339-4 observed in the hard state simultaneously by Ginga and CGRO OSSE during an outburst in 1991 September. The Ginga spectra are well represented by a power law with a photon spectral index of 1.75 ... More
Cyg X-3: a Galactic double black hole or black hole-neutron star progenitorSep 12 2012There are no known double black hole (BH-BH) or black hole-neutron star (BH-NS) systems. We argue that Cyg X-3 is a very likely BH-BH or BH-NS progenitor. This Galactic X-ray binary consists of a compact object, wind-fed by a Wolf-Rayet (WR) type companion. ... More
GRS 1915+105: the distance, radiative processes and energy-dependent variabilityApr 01 2005We present an exhaustive analysis of five broad-band observations of GRS 1915+105 in two variability states, chi and omega, observed simultaneously by the PCA, HEXTE and OSSE. We find all the spectra well fitted by Comptonization of disc blackbody photons, ... More
Champagne subregions of the unit discJan 07 2011Jun 20 2011This paper concerns harmonic measure on the domains that arise when infinitely many disjoint closed discs are removed from the unit disc. It investigates which configurations of discs are unavoidable for Brownian motion, and obtains refinements of related ... More
SMC3 as a test to the binary evolutionDec 11 2015SMC 3 is one of the most interesting symbiotic stars. This binary contains a bright K-type giant transferring mass to a massive white dwarf comanion, which makes it is a very promising SN Ia candidate. We discuss the evolutionary status of the system ... More
Light curves of symbiotic stars in massive photomeric surveys II: S and D'-type systemsDec 20 2013Dec 27 2013We present results of period analysis of ASAS, MACHO and OGLE light curves of 79 symbiotic stars classified as S and D'-type. The light curves of 58 objects show variations with the orbital period. In case of 34 objects, orbital periods are estimated ... More
HII regions in symbiotic binaries and their radio emissionOct 31 2002The slow and dense wind from a symbiotic red giant can be significantly deflected toward the orbital plane by the gravitational pull of the companion star. In such an environment, the ionizing radiation from the companion creates a highly asymmetric HII ... More
Mm/submm observations of symbiotic binary starsOct 22 2002We present and discuss mm/submm observations of quiescent S-type symbiotic systems, and compare them with popular models proposed to account for their radio emission. We find that the M giant mass-loss rates derived from our observations are systematically ... More
On basic curvature identities for almost (para)contact metric manifoldsSep 21 2012In monograph of D. E. Blair "Riemannian geometry of contact and symplectic manifolds" and in the paper of S. Zamkovoy "Canonical connections on paracontact manifolds", the curvature identities respectively for contact and paracontact metric manifold are ... More
Para-CR Structures on almost Paracontact Metric ManifoldsFeb 28 2012Apr 01 2012Almost paracontact metric manifolds are the famous examples of almost para-CR manifolds. We find necessary and suffcient conditions for such manifolds to be para-CR. Next we examine these conditions in certain subclasses of almost paracontact metric manifolds. ... More
Duflo Theorem for a Class of Generalized Weyl AlgebrasMay 15 2014For a special class of generalized Weyl algebras, we prove a Duflo theorem stating that the annihilator of any simple module is in fact the annihilator of a simple highest weight module.
Positive harmonic functions on comb-like domainsSep 30 2010This paper investigates positive harmonic functions on a domain which contains an infinite cylinder, and whose boundary is contained in the union of parallel hyperplanes. (In the plane its boundary consists of two sets of vertical semi-infinite lines.) ... More
The asymptotic strong Feller property does not imply the e-property for Markov-Feller semigroupsAug 22 2013T. Szarek [Stud. Math. 189 (2008), {\S} 4] have discussed the relationship between two important notions concerning Markov semigroups: the asymptotic strong Feller property and the e-property, asserting that the former property implies the latter one. ... More
A plactic algebra action on bosonic particle configurations: The classical caseJan 03 2019We study the plactic algebra and its action on bosonic particle configurations in the classical case. These particle configurations together with the action of the plactic generators can be identified with crystals of the quantum analogue of the symmetric ... More
GX 339-4: the distance, state transitions, hysteresis and spectral correlationsFeb 16 2004Mar 12 2004We study X-ray and variability and distance of GX 339-4. We derive d>7 kpc, based on recent determination of the binary parameters. We study data from the Ginga/ASM, the CGRO/BATSE, and the RXTE/ASM, PCA and HEXTE. From 1987 to 2004, GX 339-4 underwent ... More
Line formation regions of the UV spectrum of CI CygniSep 05 2006We have examined radial velocities and fluxes of ultraviolet emission lines at different epochs, deduced from archival IUE and GRHS/HST spectra. The line fluxes give electron densities and were in addition used to calculate emission measures, suggesting ... More
Mm/submm observations of symbiotic binary stars: implications for the mass loss and mass exchangeFeb 12 2001We discuss mm/submm spectra of a sample of symbiotic binary systems, and compare them with popular models proposed to account for their radio emission. We find that radio emission from quiescent S-type systems originates from a conical region of the red ... More
UV Emission line shifts of symbiotic binariesJan 02 2010Relative and absolute emission line shifts have been previously found for symbiotic binaries, but their cause was not clear. This work aims to better understand the emission line shifts. Positions of strong emission lines were measured on archival UV ... More
Nature of light variations in the symbiotic binary V417 CenNov 24 2010V417 Cen is a D'-type symbiotic system surrounded by a faint, extended asymmetric nebula. Optical photometric observations of this object cover last 20 years. They show strong long term modulation with a period of about 1700 days and amplitude about 1.5 ... More
The spectroscopic orbits and the geometrical configuration of the symbiotic binary AR PavonisMar 18 2002We analyze optical and near infrared spectra of intermediate and high resolution of the eclipsing symbiotic system AR Pavonis. We have obtained the radial velocity curves for the red and the hot component from the M-giant absorption lines and from the ... More
On the nature of the cool component of MWC 560Nov 27 2006MWC 560 (V694 Mon) is one of the most enigmatic symbiotic system with a very active accretion-powered hot component. Such activity can be supported only by a luminous asymptotic giant branch star, i.e. a Mira or SR variable, with a high mass-loss rate. ... More
Quantum qubit switch: entropy and entanglementSep 07 2017The quantum entanglement is considered as one of the most important notions of quantum computing. The entanglement is a feature of quantum systems and it is used as a basis for many quantum algorithms and protocols. In this paper we analyze the level ... More
QTM: computational package using MPI protocol for quantum trajectories methodOct 06 2018The Quantum Trajectories Method (QTM) is one of {the} frequently used methods for studying open quantum systems. { The main idea of this method is {the} evolution of wave functions which {describe the system (as functions of time). Then,} so-called quantum ... More
Free Jump Dynamics in ContinuumAug 27 2014The evolution is described of an infinite system of hopping point particles in $\mathbb{R}^d$. The states of the system are probability measures on the space of configurations of particles. Under the condition that the initial state $\mu_0$ has correlation ... More
Asymmetric truncated Toeplitz operators equal to the zero operatorSep 13 2016Asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These operators are natural generalizations of truncated Toeplitz operators. In this paper we describe symbols of asymmetric truncated ... More
Locally triangular graphs and normal quotients of the $n$-cubeJul 06 2015For an integer $n\geq 2$, the triangular graph has vertex set the $2$-subsets of $\{1,\ldots,n\}$ and edge set the pairs of $2$-subsets intersecting at one point. Such graphs are known to be halved graphs of bipartite rectagraphs, which are connected ... More
Synthetic Spectral Analysis of the Hot Component in the S-Type Symbiotic Variable EG AndromedaJul 26 2004We have applied grids of NLTE high gravity model atmospheres and optically thick accretion disk models for the first time to archival IUE and FUSE spectra of the S-type symbiotic variable EG And taken at superior spectroscopic conjunction when Rayleigh ... More
Light-curves of symbiotic stars in massive photometric surveys I: D-type systemsJun 22 2009ASAS, MACHO, OGLE and SAAO JHKL light curves of 13 stars, that have at some time been classified as D-type symbiotics, are analysed. Most of the near-IR light-curves that have been monitored over many years show long-term changes due to variable dust ... More
CO observations of symbiotic stellar systemsMar 16 2010We have performed mm-wave observations with the IRAM 30m telescope of the 12CO J=2-1 and J=1-0, 13CO J=2-1 and J=1-0, and SiO J=5-4 transitions in the symbiotic stars R Aqr, CH Cyg, and HM Sge. The data were analyzed by means of a simple analytical description ... More
An abundance analysis of the symbiotic star CH CygSep 28 2005The photospheric abundances for the cool component of the symbiotic star CH Cyg were calculated for the first time using high-resolution near-infrared spectra and the method of of standard LTE analysis and atmospheric models. The iron abundance for CH ... More
The high-energy gamma-ray detection of G73.9+0.9, a supernova remnant interacting with a molecular cloudSep 14 2015Sep 22 2015We have analysed the Fermi LAT data on the SNR G73.9+0.9. We have confirmed a previous detection of high-energy gamma-rays from this source at a high significance of $\simeq 12\sigma$. The observed spectrum shows a significant curvature, peaking in $E ... More
Definable Ellipsoid Method, Sums-of-Squares Proofs, and the Isomorphism ProblemFeb 07 2018The ellipsoid method is an algorithm that solves the (weak) feasibility and linear optimization problems for convex sets by making oracle calls to their (weak) separation problem. We observe that the previously known method for showing that this reduction ... More
Existence of global weak solutions for Navier-Stokes equations with large fluxSep 28 2010Global existence of weak solutions to the Navier-Stokes equation in a cylindrical domain under the slip boundary conditions and with inflow and outflow was proved. To prove the energy estimate, crucial for the proof, we use the Hopf function. This makes ... More
An isometrically universal Banach space with a monotone Schauder basisFeb 11 2014Mar 12 2014We present an isometric version of the complementably universal Banach space $\mathcal{B}$ with a monotone Schauder basis. The space $\mathcal{B}$ is isomorphic to Pe{\l}czy\'nski's space with a universal basis as well as to Kadec' complementably universal ... More
A Widom-Rowlinson Jump Dynamics in the ContinuumApr 26 2016We study the dynamics of an infinite system of point particles of two types. They perform random jumps in $\mathbf{R}^d$ in the course of which particles of different types repel each other whereas those of the same type do not interact. The states of ... More
Remarks on Gurarii spacesNov 24 2011We present selected known results and some of their improvements, involving Gurarii spaces. A Banach space is Gurarii if it has certain natural extension property for almost isometric embeddings of finite-dimensional spaces. Deleting the word "almost", ... More
Dust evolution and satellitesimal formation in circumplanetary disksJul 07 2018Sep 11 2018It is believed that satellites of giant planets form in circumplanetary disks. Many of the previous contributions assumed that their formation process proceeds similarly to rocky planet formation, via accretion of the satellite seeds, called satellitesimals. ... More
Everywhere divergence of the one-sided ergodic Hilbert transform and Liouville numbersJun 10 2016We prove some results on the behavior of infinite sums of the form $\Sigma f\circ T^n(x)\frac{1}{n}$, where $T:S^1\to S^1$ is an irrational circle rotation and $f$ is a mean-zero function on $S^1$. In particular, we show that for a certain class of functions ... More
Exponential ergodicity of some Markov dynamical system with application to a Poisson driven stochastic differential equationJan 20 2018Feb 21 2018We are concerned with the asymptotics of the Markov chain given by the post-jump locations of a certain piecewise-deterministic Markov process with a state-dependent jump intensity. We provide sufficient conditions for such a model to possess a unique ... More
Quantum Coherence Measures for Quantum SwitchMar 08 2018We suppose that a structure working as a quantum switch will be a significant element of future networks realizing transmissions of quantum information. In this chapter we analyze a process of switch's operating -- especially in systems with a noise presence. ... More
Sharp and principal elements in effect algebrasApr 02 2015Jul 02 2015In this paper we characterize the effect algebras whose sharp and principal elements coincide. We also give examples of two non-isomorphic effect algebras having the same universum, partial order and orthosupplementation.
Goldie rank of primitive quotients via lattice point enumerationDec 21 2012Let k be an algebraically closed field of characteristic 0. Musson and vandenBergh classified primitive ideals for rings of torus invariant differential operators. This classification applies in particular to subquotients of localized extended Weyl algebras ... More
The Global Evolution of States of a Continuum Kawasaki Model with RepulsionMar 27 2016An infinite system of point particles performing random jumps in $\mathds{R}^d$ with repulsion is studied. The states of the system are probability measures on the space of particle's configurations. The result of the paper is the construction of the ... More
Paths in hypergraphs: a rescaling phenomenonJun 26 2017Let $P^k_\ell$ denote the loose $k$-path of length $\ell$ and let define $f^k_\ell(n,m)$ as the minimum value of $\Delta(H)$ over all $P^k_\ell$-free $k$-graphs $H$ with $n$ vertices and $m$ edges. In the paper we study the behavior of $f^4_2(n,m)$ and ... More
A Hubble Space Telescope Survey for Novae in M87. I. Light and Color Curves, Spatial Distributions and the Nova RateFeb 02 2016Sep 01 2016The Hubble Space Telescope has imaged the central part of M87 over a 10 week span, leading to the discovery of 32 classical novae and nine fainter, likely very slow and/or symbiotic novae. In this first in a series of papers we present the M87 nova finder ... More
Critical collapse of a rotating scalar field in $2+1$ dimensionsFeb 15 2017Mar 29 2017We carry out numerical simulations of the collapse of a complex rotating scalar field of the form $\Psi(t,r,\theta)=e^{im\theta}\Phi(t,r)$, giving rise to an axisymmetric metric, in 2+1 spacetime dimensions with cosmological constant $\Lambda<0$, for ... More
Anomalous diffusion models: different types of subordinator distributionOct 13 2011Subordinated processes play an important role in modeling anomalous diffusion-type behavior. In such models the observed constant time periods are described by the subordinator distribution. Therefore, on the basis of the observed time series, it is possible ... More
Disjointness properties for Cartesian products of weakly mixing systemsDec 23 2011Jul 18 2012For $n\geq 1$ we consider the class JP($n$) of dynamical systems whose every ergodic joining with a Cartesian product of $k$ weakly mixing automorphisms ($k\geq n$) can be represented as the independent extension of a joining of the system with only $n$ ... More
The Entanglement Level and the Detection of Quantum Data Transfer Correctness in Short Qutrit Spin ChainsFeb 14 2015Oct 20 2015The quantum entanglement is an important feature of many protocols in the field of quantum computing. In this paper we evaluate a level of entanglement in short qutrit chains. This evaluation is carried out with use of the CCNR criterion and the concurrence ... More
Asymmetric truncated Toeplitz operators on finite-dimensional spacesNov 02 2016In this paper we consider asymmetric truncated Toeplitz operators acting between two finite-dimensional model spaces. We compute the dimension of the space of all such operators. We also describe the matrix representations of asymmetric truncated Toeplitz ... More
The multipartite Ramsey number for the 3-path of length threeJun 27 2017We study the Ramsey number for the 3-path of length three and $n$ colors and show that $R(P^3_3;n)\le \lambda_0 n+7\sqrt{n}$, for some explicit constant $\lambda_0=1.97466\dots$.
Quantum network protocol for qudits with use of quantum repeaters and Pauli Z-type operational errorsApr 13 2016In this chapter a quantum communication protocol with use of repeaters is presented. The protocol is constructed for qudits i.e. the generalized quantum information units. One-dit teleportation is based on the generalized Pauli-Z (phase-flip) gate's correction. ... More
Premium valuation for a multiple state model containing manifold premium-paid statesJan 25 2017The aim of this contribution is to derive a general matrix formula for the net period premium paid in more than one state. For this purpose we propose to combine actuarial technics with the graph optimization methodology. The obtained result is useful ... More
The center of the affine nilTemperley-Lieb algebraMay 11 2015We give a description of the center of the affine nilTemperley-Lieb algebra based on a certain grading of the algebra and on a faithful representation of it on fermionic particle configurations. We present a normal form for monomials, hence construct ... More
Finite homogeneous effect algebras with trivial sharp elementsSep 16 2016In this paper we describe finite homogeneous effect algebras whose sharp elements are only $0$ and $1$.
Structure of Chinese algebrasSep 29 2010Jul 08 2011The structure of the algebra K[M] of the Chinese monoid M over a field K is studied. The minimal prime ideals are described. They are determined by certain homogeneous congruences on M and they are in a one to one correspondence with diagrams of certain ... More
On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFSJul 24 2007May 06 2008We consider measures which are invariant under a measurable iterated function system with positive, place-dependent probabilities in a separable metric space. We provide an upper bound of the Hausdorff dimension of such a measure if it is ergodic. We ... More
Nonstationary flow for the Navier-Stokes equations in a cylindrical pipeMar 21 2011In cylindrical domain, we consider the nonstationary flow with prescribed inflow and outflow, modelled with Navier-Stokes equations under the slip boundary conditions. Using smallness of some derivatives of inflow function, external force and initial ... More
A catalogue of symbiotic starsMay 27 2000We present a new catalogue of symbiotic stars. In our list we include 188 symbiotic stars as well as 28 objects suspected of being symbiotic. For each star, we present basic observational material: coordinates, V and K magnitudes, ultraviolet (UV), infrared ... More
Circumstellar environment of RX PuppisMar 29 2001The symbiotic Mira, RX Pup, shows long-term variations in its mean light level due to variable obscuration by circumstellar dust. The last increase in extinction towards the Mira, between 1995 and 2000, has been accompanied by large changes in the degree ... More
Dubois' Torsion, A-polynomial and Quantum InvariantsJan 13 2011It is shown that for knots with a sufficiently regular character variety the Dubois' torsion detects the A-polynomial of the knot. A global formula for the integral of the Dubois torsion is given. The formula looks like the heat kernel regularization ... More
Shadow world evaluation of the Yang-Mills measureMay 17 2002Jun 14 2004A new state-sum formula for the evaluation of the Yang-Mills measure in the Kauffman bracket skein algebra of a closed surface is derived. The formula extends the Kauffman bracket to diagrams that lie in surfaces other than the plane. It also extends ... More
Graph polynomials and their applications II: Interrelations and interpretationsJun 28 2008This paper surveys a comprehensive, although not exhaustive, sampling of graph polynomials with the goal of providing a brief overview of a variety of techniques defining a graph polynomial and then for decoding the combinatorial information it contains. ... More
A new bijective proof of Babson and Steingrímsson's conjectureJan 27 2017Babson and Steingr\'{\i}msson introduced generalized permutation patterns and showed that most of the Mahonian statistics in the literature can be expressed by the combination of generalized pattern functions. Particularly, they defined a new Mahonian ... More
On some regularity criteria for axisymmetric Navier-Stokes equationsJun 19 2018We point out some criteria that imply regularity of axisymmetric solutions to Navier-Stokes equations. We show that boundedness of $\|{v_{r}}/{\sqrt{r^3}}\|_{L_2({\rm R}^3\times (0,T))}$ as well as boundedness of $\|{\omega_{\varphi}}/{\sqrt{r}}\|_{L_2({\rm ... More
From $q$-Stirling numbers to the Delta Conjecture: a viewpoint from vincular patternsOct 14 2018Feb 17 2019The distribution of certain Mahonian statistic (called $\mathrm{BAST}$) introduced by Babson and Steingr\'{i}msson over the set of permutations that avoid vincular pattern $1\underline{32}$, is shown bijectively to match the distribution of major index ... More
Dehn's Algorithm for Simple DiagramsFeb 12 2015A version of Dehn's algorithm for simple diagrams on a once punctured surface representing simple diagrams on a closed surface is presented
The Structure of the Kauffman Bracket Skein Algebra at Roots of UnityJul 12 2016This paper is focused on the structure of the Kauffman bracket skein algebra of a punctured surface at roots of unity. A criterion that determines when a collection of skeins forms a basis of the skein algebra as an extension over the $SL(2,{\mathbb C})$ ... More
Planetesimal formation during protoplanetary disk buildupMar 01 2018Mar 08 2018Models of dust coagulation and subsequent planetesimal formation are usually computed on the backdrop of an already fully formed protoplanetary disk model. At the same time, observational studies suggest that planetesimal formation should start early, ... More