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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

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.

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

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

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

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

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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

Eco-evolutionary "fitness" in 3 dimensions: absolute growth, absolute efficiency, and relative competitivenessJul 03 2014Oct 01 2015Competitions can occur on an absolute scale, to be faster or more efficient, or they can occur on a relative scale, to "beat" one's competitor in a zero-sum game. Ecological models have focused on absolute competitions, in which optima exist. Classic ... 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

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.

Attractivity and stability in the competitive systems of PDEs of Kolmogorov typeNov 19 2012We consider $N$-species nonautonomous competitive systems of partial differential equations of Kolmogorov type. Under the Neumann boundary conditions we give a sufficient condition for the system to be uniformly stable and globally attractive.

Slant curves in 3-dimensional normal almost paracontact metric manifoldsDec 23 2012The presented paper is devoted to study the curvature and torsion of slant Frenet curves in 3-dimensional normal almost paracontact metric manifolds. Moreover, in this class of manifolds, properties of non- Frenet slant curves (with null tangents or null ... More

Pricing electricity derivatives within a Markov regime-switching modelMar 24 2012In this paper analytic formulas for electricity derivatives are calculated. To this end, we assume that electricity spot prices follow a 3-regime Markov regime-switching model with independent spikes and drops and periodic transition matrix. Since the ... More

A note on the isomorphism of Cartesian products of ergodic flowsJan 25 2011We show an isomorphism stability property for Cartesian products of either flows with joining primeness property or flows which are $\alpha$-weakly mixing.

On the self-similarity problem for smooth flows on orientable surfacesNov 29 2010Jun 02 2011On each compact, connected, orientable surface of genus greater than one we construct a class of flows without self-similarities.

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

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

A Global Event Description using Particle Flow with the CMS DetectorOct 20 2008The CMS Detector consists of a large volume silicon tracker immersed in a high four Tesla magnetic field, together with a high resolution/granularity electromagnetic calorimeter and a nearly full solid angle coverage hadronic calorimeter. Particle flow ... More

One more Turán number and Ramsey number for the loose 3-uniform path of length threeNov 29 2015Let $P$ denote a 3-uniform hypergraph consisting of 7 vertices $a,b,c,d,e,f,g$ and 3 edges $\{a,b,c\}, \{c,d,e\},$ and $\{e,f,g\}$. It is known that the $r$-color Ramsey number for $P$ is $R(P;r)=r+6$ for $r\le 9$. The proof of this result relies on a ... More

Bivariate natural exponential families with quadratic diagonal of the variance functionApr 20 2015We characterize bivariate natural exponential families having the diagonal of the variance function of the form \[ \textrm{diag} V(m_1,m_2)=\left(Am_1^2+am_1+bm_2+e,Am_2^2+cm_1+dm_2+f\right), \] with $A<0$ and $a,\ldots,f\in\mathbb{R}$. The solution of ... More

Nonlinear realizations and the orbit methodMay 09 2013Aug 12 2013Given a symmetry group one can construct the invariant dynamics using the technique of nonlinear realizations or the orbit method. The relationship between these methods is discussed. Few examples are presented.

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

Conformal mechanicsNov 19 2012Jan 08 2013The SL(2,R) invariant Hamiltonian systems are discussed within the frame- work of the orbit method. It is shown that both dynamics and symmetry trans- formations are globally well-defined on phase space. The flexibility in the choice of time variable ... More

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

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

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

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

On embeddability of automorphisms into measurable flows from the point of view of self-joining propertiesApr 10 2013Sep 02 2014We compare self-joining- and embeddability properties. In particular, we prove that a measure preserving flow $(T_t)_{t\in\mathbb{R}}$ with $T_1$ ergodic is 2-fold quasi-simple (2-fold distally simple) if and only if $T_1$ is 2-fold quasi-simple (2-fold ... More

On the strong convolution singularity propertyNov 16 2012Jan 24 2013We develop a new method for proving that a flow has the so-called strong convolution singularity property, i.e. the Gaussian system induced by its (reduced) maximal spectral type has simple spectrum. We use these methods to give examples of smooth flows ... More

Black swans or dragon kings? A simple test for deviations from the power lawFeb 17 2011We develop a simple test for deviations from power law tails, which is based on the asymptotic properties of the empirical distribution function. We use this test to answer the question whether great natural disasters, financial crashes or electricity ... 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

Indo-Pacific variability on seasonal to multidecadal timescales. Part II: Multiscale atmosphere-ocean linkagesSep 29 2016The coupled atmosphere-ocean variability of the Indo-Pacific on interannual to multidecadal timescales is investigated in a millennial control run of CCSM4 and in observations using a family of modes recovered in Part~I of this work from unprocessed SST ... More

Multicore Noncommutative BionsOct 25 2004Nov 13 2004The noncommutative bion core of Constable, Myers and Tafjord (hep-th/9911136) describes the BPS D1-D3 brane intersection (where a single bundle of D1-branes is attached to the D3 brane) in the nonabelian Born-Infeld theory of D1-branes. The possibility ... More

"Isochronic" dynamical systems and nullification of amplitudesMay 13 2003We construct the set of theories which share the property that the tree-level amplitudes nullify even if both initial and final states contain the same type of particles. The origin of this phenomenon lies in the fact that the reduced classical dynamics ... 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

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

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

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

Description of the emotional states of communicating people by mathematical modelJul 30 2015Oct 29 2015The model we study is a generalization of the model considered by Liebovitch et al. (2008) and Rinaldi et al. (2010), and is related to the discrete model of the emotional state of communicating couples described by Gottman et al. (2002). Considered system ... More

Smart Policies for Artificial IntelligenceAug 29 2016We argue that there already exists de facto artificial intelligence policy - a patchwork of policies impacting the field of AI's development in myriad ways. The key question related to AI policy, then, is not whether AI should be governed at all, but ... More

Three solutions for elliptic Dirichlet boundary value problem with singular weightJul 05 2016In this paper we prove the~existence of two non-trivial weak solutions of Dirichlet boundary value problem for p-Laplacian problem with a~singular part and two disturbances satisfying the~proper assumptions. The~abstract existence result we use is the~famous ... 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

Classical field records of a quantum system: their internal consistency and accuracyApr 23 2015Nov 25 2015We determine the regime where the widespread classical field description for quantum Bose gases is quantitatively accurate in 1d, 2d, and 3d by a careful study of the ideal gas limit. Numerical benchmarking in 1d shows that the ideal gas results carry ... 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.

Toward an Empirical Theory of Pulsar Emission XI. Understanding the Orientations of Pulsar Radiation and Supernova "Kicks"Feb 18 2015Two entwined problems have remained unresolved since pulsars were discovered nearly 50 years ago: the orientation of their polarized emission relative to the emitting magnetic field and the direction of putative supernova ``kicks' relative to their rotation ... More

Network Inference with Hidden UnitsJan 30 2013We derive learning rules for finding the connections between units in stochastic dynamical networks from the recorded history of a ``visible'' subset of the units. We consider two models. In both of them, the visible units are binary and stochastic. In ... More

Compensatory evolution and the origins of innovationsDec 11 2012Cryptic genetic sequences have attenuated effects on phenotypes. In the classic view, relaxed selection allows cryptic genetic diversity to build up across individuals in a population, providing alleles that may later contribute to adaptation when co-opted ... More

Multiboson threshold production by fermion-antifermion pair and hidden symmetryAug 06 2003We consider threshold production of arbitrary number of Higgs particles by fermion-antifermion pair. The nullification of amplitudes for the special case Higgs mass = 2 * fermion mass is explained in terms of hidden symmetry of the reduced effective dynamics. ... More

Scattering in the adjoint sector of the c = 1 Matrix ModelSep 22 2008Closed string tachyon emission from a traveling long string in Liouville string theory is studied. The exact collective field Hamiltonian in the adjoint sector of the c=1 matrix model is computed to capture the interaction between the tip of the long ... More

When the spatial networks split?Jan 04 2008We consider a three dimensional spatial network, where $N$ nodes are randomly distributed within a cube $L\times L\times L$. Each two nodes are connected if their mutual distance does not excess a given cutoff $a$. We analyse numerically the probability ... More

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

Algebraic Properties of Valued Constraint Satisfaction ProblemMar 03 2014Apr 01 2015The paper presents an algebraic framework for optimization problems expressible as Valued Constraint Satisfaction Problems. Our results generalize the algebraic framework for the decision version (CSPs) provided by Bulatov et al. [SICOMP 2005]. We introduce ... More

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

Adaptive quantum teleportationOct 16 2008Jun 07 2009We consider multiple teleportation in the Knill-Laflamme-Milburn (KLM) scheme. We introduce adaptive teleportation, i.e., such that the choice of entangled state used in the next teleportation depends on the results of the measurements performed during ... 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

Optimal state in the Knill-Laflamme-Milburn scheme of linear optical teleportationJul 05 2007Dec 15 2007We discuss some properties of the Knill-Laflamme-Milburn scheme for quantum teleportation with both maximally and nonmaximally entangled states. We derive the error correction scheme when one performs teleportation with nonmaximally entangled states and ... More

Nonmaximally entangled states can be better for multiple linear optical teleportationAug 05 2007Mar 17 2008We investigate multiple linear optical teleportation in the Knill-Laflamme-Milburn scheme with both maximally and nonmaximally entangled states. We show that if the qubit is teleported several times via nonmaximally entangled state then the errors introduced ... More

Feedback and the fudamental line of low-luminosity LSB/dwarf galaxiesOct 20 2002Dec 12 2003We study in simple terms the role of feedback in establishing the scaling relations of low-surface-brightness and dwarf galaxies with stellar masses in the range 6x10^5 <M*< 3x10^10 Msun. These galaxies, as measured from SDSS and in the Local Group, show ... 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 $1$.

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

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

An immune system-tumour interactions model with discrete time delay: model analysis and validationMay 08 2015Nov 04 2015In this article a generalized mathematical model describing the interactions between malignant tumour and immune system with discrete time delay incorporated into the system is considered. Time delay represents the time required to generate an immune ... More

Identification of new Galactic symbiotic stars with SALT. I. Initial discoveries and other emission line objectsNov 04 2013Feb 10 2014We introduce the first results from an ongoing, systematic survey for new symbiotic stars selected from the AAO/UKST SuperCOSMOS H$\alpha$ Survey (SHS). The survey aims to identify and characterise the fainter population of symbiotic stars underrepresented ... More

Transfers of entanglement qudit states in quantum networksFeb 02 2013The issue of quantum states' transfer -- in particular, for so-called Perfect State Transfer (PST) -- in the networks represented by the spin chains seems to be one of the major concerns in quantum computing. Especially, in the context of future communication ... More

Increasing singlet fraction with entanglement swappingMay 07 2008Aug 26 2008We consider entanglement swapping for certain mixed states. We assume that the initial states have the same singlet fraction and show that the final state can have singlet fraction greater than the initial states. We also consider two quantum teleportations ... More

Tidal pattern instabilities on multi-moon planetsJan 25 2007The equilibrium tide-generating forces in the lunar orbital plane of a planet of radius R are calculated for the case of N moons of mass M_i orbiting the planet at instantaneous polar coordinates (D_i, \alpha_i). For the case of a single moon, there are ... More