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A self-aligned nano-fabrication process for vertical NbN-MgO-NbN Josephson junctionsMay 16 2017We present a new process for fabricating vertical NbN-MgO-NbN Josephson junctions using self-aligned silicon nitride spacers. It allows for a wide range of junction areas from 0.02 um^2 to several 100 um^2. At the same time, it is suited for the implementation ... More

Multiplying and detecting propagating microwave photons using inelastic Cooper-pair tunnelingDec 21 2016Feb 01 2018The interaction between propagating microwave fields and Cooper-pair tunneling across a DC voltage-biased Josephson junction can be highly nonlinear. We show theoretically that this nonlinearity can be used to convert an incoming single microwave photon ... More

Superconducting properties of very high quality NbN thin films grown by high temperature chemical vapor depositionMar 31 2016Niobium nitride (NbN) is widely used in high-frequency superconducting electronics circuits because it has one of the highest superconducting transition temperatures ($T_c$ $\sim$ 16.5 K) and largest gap among conventional superconductors. In its thin-film ... More

Calibration of the cross-resonance two-qubit gate between directly-coupled transmonsMay 14 2019Quantum computation requires the precise control of the evolution of a quantum system, typically through application of discrete quantum logic gates on a set of qubits. Here, we use the cross-resonance interaction to implement a gate between two superconducting ... More

An Evolutionary approach for solving Shrödinger EquationFeb 21 2014The purpose of this paper is to present a method of solving the Shr\"odinger Equation (SE) by Genetic Algorithms and Grammatical Evolution. The method forms generations of trial solutions expressed in an analytical form. We illustrate the effectiveness ... More

A bright on-demand source of anti-bunched microwave photons based on inelastic Cooper pair tunnelingApr 27 2018Aug 01 2018The ability to generate single photons is not only an ubiquitous tool for scientific exploration with applications ranging from spectroscopy and metrology to quantum computing, but also an important proof of the underlying quantum nature of a physical ... More

Solving Poisson Equation by Genetic AlgorithmsJan 02 2014This paper deals with a method for solving Poisson Equation (PE) based on genetic algorithms and grammatical evolution. The method forms generations of solutions expressed in an analytical form. Several examples of PE are tested and in most cases the ... More

Similarity- based approach for outlier detectionNov 25 2014This paper presents a new approach for detecting outliers by introducing the notion of object's proximity. The main idea is that normal point has similar characteristics with several neighbors. So the point in not an outlier if it has a high degree of ... More

NNLO classical solution for Lipatov's effective action for reggeized gluonsFeb 15 2018Mar 19 2018We consider the formalism of small-x effective action for reggeized gluons, Gribov (Sov Phys JETP 26:414, 1968), Lipatov (Nucl Phys B 452:369, 1995; Phys Rep 286:131, 1997; Subnucl Ser 49:131, 2013, Int J Mod Phys Conf Ser 39:1560082, 2015; Int J Mod ... More

Tunneling system coupled to phonon: an analytical treatmentOct 01 2004Oct 28 2004This paper was withdrawn by the authors.

The flavor universality of some mass splittings in hadronsOct 08 2014The approximate chiral invariance of the two-flavor QCD is known to be spontaneously broken. This effect explains the relatively small pion mass and, as is widely believed, the mass splittings of would-be chiral partners --- the hadrons of equal spin ... More

Implications of the Crystal Barrel data for meson-baryon symmetriesJul 09 2007Sep 10 2008Making use of numerous resonances discovered by the Crystal Barrel Collaboration we discuss some possible relations between the baryon and meson spectra of resonances composed of the light non-strange quarks. Our goal is to indicate new features that ... More

Parity doubling in particle physicsApr 12 2007Sep 07 2007Parity doubling in excited hadrons is reviewed. Parity degeneracy in hadrons was first experimentally observed 40 years ago. Recently new experimental data on light mesons caused much excitement and renewed interest to the phenomenon, which still remains ... More

Experimental indication on chiral symmetry restoration in meson spectrumMar 21 2006Jun 27 2006The spectroscopic predictions of the Ademollo-Veneziano-Weinberg dual model are critically tested in view of the modern experimental data. The predicted equidistance of masses squared for chiral partners is shown to be violated high in energies, instead ... More

Regge spectrum from holographic models inspired by OPEFeb 23 2009Jun 29 2009The problem of obtaining the Regge-like behaviour for meson mass spectrum in the hard-wall AdS/QCD models is addressed. We show that the problem can be solved by a simple incorporation of the effects of local vacuum condensates into such models. The slope ... More

Towards understanding broad degeneracy in non-strange mesonsJan 11 2007Jul 06 2007The spectroscopic regularities of modern empirical data on the non-strange mesons up to 2.4 GeV can be summarized as a systematic clustering of states near certain values of energy. It is getting evident that some unknown X-symmetry triggers the phenomenon. ... More

A Simple Method to Mix Granular MaterialsOct 06 1999We show that a mixture of two species of granular particles with equal sizes but differing densities can be either segregated or mixed by adjusting the granular temperature gradient and the magnitude of the gravitational force. In the absence of gravity, ... More

Interplay of gas and ice during cloud evolutionAug 21 2014Jan 20 2015During the evolution of diffuse clouds to molecular clouds, gas-phase molecules freeze out on surfaces of small dust particles to form ices. On dust surfaces, water is the main constituent of the icy mantle in which a complex chemistry is taking place. ... More

Competing Glauber and Kawasaki DynamicsAug 17 1998Using a quantum formulation of the master equation we study a kinetic Ising model with competing stochastic processes: the Glauber dynamics with probability $p$ and the Kawasaki dynamics with probability $1 - p$. Introducing explicitely the coupling to ... More

Limit shocks of relativistic magnetohydrodynamics, Punsly's waveguide and the Blandford-Znajek solutionJun 05 2002Sep 11 2002In this paper we examine various issues closely related to the ongoing discussion on the nature of the Blandford-Znajek mechanism of extraction of rotational energy of black holes. In particular, we show that switch-on and switch-off shocks are allowed ... More

Simulations of Axisymmetric Magnetospheres of Neutron StarsOct 11 2005Nov 28 2005In this paper we present the results of time-dependent simulations of dipolar axisymmetric magnetospheres of neutron stars carried out both within the framework of relativistic magnetohydrodynamics and within the framework of resistive force-free electrodynamics. ... More

On the nature of the Blandford-Znajek mechanismNov 07 2002It is widely accepted in the astrophysical community that the event horizon plays crucial role in the Blandford-Znajek mechanism of extraction of rotational energy of black holes. In fact, this view is a quintessence of the Membrane Paradigm of black ... More

Studying the Feasibility and Importance of Software Testing: An AnalysisJan 23 2010Software testing is a critical element of software quality assurance and represents the ultimate review of specification, design and coding. Software testing is the process of testing the functionality and correctness of software by running it. Software ... More

Nonperturbative calculations in light-front QEDOct 01 2010The methods of light-front quantization and Pauli-Villars regularization are applied to a nonperturbative calculation of the dressed-electron state in quantum electrodynamics. This is intended as a test of the methods in a gauge theory, as a precursor ... More

Planetary nebula or symbiotic Mira? Near infrared colours mark the differenceAug 21 2001Nebulae around symbiotic Miras look very much like genuine planetary nebulae, although they are formed in a slightly different way. We present near infrared photometry of known and suspected symbiotic nebulae obtained with the Deep Near Infrared Southern ... More

A catalogue of IJK photometry of Planetary Nebulae with DENISMay 15 2001Near-infrared photometry of planetary nebulae (PNe) allows the classification of those objects. We present the largest homogeneous sample so far, obtained with the Deep Near Infrared Southern Sky Survey (DENIS).

Spin Injection and Nonlocal Spin Transport in Magnetic NanostructuresSep 20 2006We theoretically study the nonlocal spin transport in a device consisting of a nonmagnetic metal (N) and ferromagnetic injector (F1) and detector (F2) electrodes connected to N. We solve the spin-dependent transport equations in a device with arbitrary ... More

Resolving Extragalactic Star Clusters with HST/ACSJul 02 2007With HST, colour-magnitude diagrams (CMDs) can be obtained for young star clusters well beyond the Local Group. Such data can help constrain cluster ages and metallicities, and also provide a reference against which intermediate- and high mass stellar ... More

Towards spin turbulence of light: Spontaneous disorder and chaos in cavity-polariton systemsNov 23 2015Nov 02 2016Recent advances in nanophotonics have brought about coherent light sources with chaotic circular polarization; a low-dimensional chaotic evolution of optical spin was evidenced in laser diodes. Here we propose a mechanism that gives rise to light with ... More

Spectral curves and parameterizations of a discrete integrable 3-dimensional modelSep 09 2002We consider a discrete classical integrable model on the 3-dimensional cubic lattice. The solutions of this model can be used to parameterize the Boltzmann weights of the different 3-dimensional spin models. We have found the general solution of this ... More

Relativistic Toda chain at root of unity II. Modified Q-operatorJul 27 2001Matrix elements of quantum intertwiner as well as the modified Q-operator for the quantum relativistic Toda chain at root of unity are constructed explicitly. Modified Q-operators make isospectrality transformations of quantum transfer matrices so that ... More

On Special Cases of General Geometry: geometries with changing length of vectorsJun 01 2006We find relations between quantities defining geometry and quantities defining the length of a curve in geometries underlying Electromagnetism and unified model of Electromagnetism and Gravitation. We show that the length of a vector changes along a curve ... More

Multi-black holes and instantons in effective string theoryJul 16 1996The effective action for string theory which takes into account non-minimal coupling of moduli admits multi-black hole solutions. The euclidean continuation of these solutions can be interpreted as an instanton mediating the splitting and recombination ... More

Large-Scale Magnetic Field Re-generation by Resonant MHD Wave InteractionsOct 24 2007We investigate numerically the long-time behavior of balanced Alfven wave turbulence forced at intermediate scales. Whereas the usual constant-flux solution is found at the smallest scales, two new scalings are obtained at the forcing scales and at the ... More

Cluster Growth in two- and three-dimensional Granular GasesApr 28 2003Dec 11 2003Dissipation in granular media leads to interesting phenomena as there are cluster formation and crystallization in non-equilibrium dynamical states. The freely cooling system is examined concerning the energy decay and the cluster evolution in time, both ... More

Dynamical mean field theory of small polaron transportJun 24 2003We present a unified view of the transport properties of small-polarons in the Holstein model at low carrier densities, based on the Dynamical Mean Field Theory. The nonperturbative nature of the approach allows us to study the crossover from classical ... More

Dynamical Systems and Topological SurgeryDec 12 2008In this paper we try to establish a connection between a three-dimensional Lotka--Volterra dynamical system and two-dimensional topological surgery. There are many physical phenomena exhibiting two-dimensional topological surgery through a `hole drilling' ... More

Reptation Quantum Monte CarloAug 19 1998We present an elementary and self-contained account of the analogies existing between classical diffusion and the imaginary-time evolution of quantum systems. These analogies are used to develop a new quantum simulation method which allows to calculate ... More

Comparing the Ag-content of poltinniks using X-ray fluorescenceFeb 12 2013X-ray fluorescence experiments have been performed in order to analyze the elemental composition of four Russian 50-kopek coins ("poltinniks") minted during 1913, 1921, and 1924. By comparing the intensities of the Ag K{\alpha} X-rays emitted by the poltinniks, ... More

A special chain theorem for the embedding dimensionOct 01 2014This paper establishes an analogue of the special chain theorem for the embedding dimension of polynomial rings, with direct application on the (embedding) codimension. In particular, we recover a classic result on the transfer of regularity to polynomial ... More

The Cauchy problem for f(R)-gravity: an overviewMar 11 2011We review the Cauchy problem for f(R) theories of gravity, in metric and metric-affine for- mulations, pointing out analogies and differences with respect to General Relativity. The role of conformal transformations, effective scalar fields and sources ... More

Distinguishing WH and WBBbar production at the Fermilab TevatronMar 02 1999The production of a Higgs boson in association with a W-boson is the most likely process for the discovery of a light Higgs at the Fermilab Tevatron. Since it decays primarily to b-quark pairs, the principal background for this associated Higgs production ... More

Higher order QCD corrections to charged-lepton deep-inelastic scattering and global fits of parton distributionsNov 10 2008Jan 18 2009We study the perturbative QCD corrections to heavy-quark structure functions of charged-lepton deep-inelastic scattering and their impact on global fits of parton distributions. We include the logarithmically enhanced terms near threshold due to soft ... More

A New Metallicity Calibration for Dwarfs for the RGU-PhotometryMar 20 2003We adopted the procedure of Carney to obtain a metallicity calibration for dwarfs for the RGU-photometry. For this purpose we selected 76 dwarfs of different metallicities from Carney, and Strobel et al., and evaluated their \delta(U-G) ultra-violet excess ... More

An information theoretical analysis of quantum optimal controlJan 20 2014We show that if an efficient classical representation of the dynamics exists, optimal control problems on many-body quantum systems can be solved efficiently with finite precision. We show that the size of the space of parameters necessary to solve quantum ... More

Direct photon radiation from a rich baryon Quark-Gluon Plasma systemOct 07 2006Feb 21 2007The direct photon radiation from a hot and slightly strong interacting fireball system of a rich baryon quark-gluon plasma, using the Boltzmann distribution function for the incoming particles and Bose-Einstein distribution for gluon and Fermi-Dirac distribution ... More

About the fastest growth of Order Parameter in Models of PercolationJun 14 2011Can there be a `Litmus test' for determining the nature of transition in models of percolation? In this paper we argue that the answer is in the affirmative. All one needs to do is to measure the `growth exponent' $\chi$ of the largest component at the ... More

Branching Process in a Stochastic Extremal ModelApr 27 2009Sep 16 2009We considered a stochastic version of the Bak-Sneppen model (SBSM) of ecological evolution where the the number $M$ of sites mutated in a mutation event is restricted to only two. Here the mutation zone consists of only one site and this site is randomly ... More

Self-Organization in a Granular Medium by Internal AvalanchesSep 12 2000Internal avalanches of grain displacements can be created inside a granular material kept in a bin in two ways: (i) By removing a radomly selected grain at the bottom of the bin (ii) By breaking a stable arch of grains clogging a hole at the bottom of ... More

Numerical solution of moving plate problem with uncertain parametersMar 14 2015This paper deals with uncertain parabolic fluid flow problem where the uncertainty occurs due to the initial conditions and parameters involved in the system. Uncertain values are considered as fuzzy and these are handled through a recently developed ... More

Dynamical mechanisms of DC current generation in driven Hamiltonian systemsApr 03 2001Recent symmetry considerations (Phys. Rev. Lett. {\bf 84} 2358 (2000)) have shown that dc currents may be generated in the stochastic layer of a system describing the motion of a particle in a one-dimensional potential in the presence of an ac time-periodic ... More

On reggeization of vertex of triple reggeized gluons in high energy QCDMay 13 2019We calculate one loop QCD Regge Field Theory (RFT) correction to the $A_{+}A_{+} A_{-}$ vertex of three reggeized gluons to one QCD loop precision. We demonstrate, that all loop leading logarithmic corrections to the vertex can be summed through the integro-differential ... More

Apology of EuclidJul 11 2005This is a short apology of the style of the Elements by Euclid and Bourbaki.

Minimally almost periodic group topology on infinite countable Abelian groups: A solution to Comfort's questionFeb 07 2010Oct 07 2011For any countable subgroup $H$ of an unbounded Abelian group $G$ there is a complete Hausdorff group topology $\tau$ such that $H$ is the von Neumann radical of $(G,\tau)$. In particular, we obtain the positive answer to Comfort's question: any unbounded ... More

Nonstandard Tools for Nonsmooth AnalysisJun 11 2012This is an overview of the basic tools of nonsmooth analysis which are grounded on nonstandard models of set theory. By way of illustration we give a criterion for an infinitesimally optimal path of a general discrete dynamic system.

Simultaneous Linear Inequalities: Yesterday and TodayJul 13 2010Jul 14 2010This is a short overview of some recent tendencies in the theory of linear inequalities that are evoked by Boolean valued analysis.

Subsurface diffusion in crystals and effect of surface permeability on the atomic step motionApr 01 2019Apr 17 2019Atomic mechanism of the bulk and surface point defect generation and annihilation on surface sinks is considered theoretically on the base of the Burton, Cabrera and Frank model. We show that the creation and annihilation of self-interstitials and vacancies ... More

Plasmon band gap generated by intense ion acoustic wavesOct 12 2009Apr 26 2010In the presence of an intense ion acoustic wave, the energy-momentum dispersion relation of plasmons is strongly modified to exhibit a band gap structure. The intensity of an ion acoustic wave might be measured from the band gap width. The plasmon band ... More

Canonical band theory of non-collinear magnetismFeb 08 2007A canonical band theory of non-collinear magnetism is developed and applied to the close packed fcc and bcc crystal structures. Several examples of non-collinear magnetism in the periodic table are seen to be canonical in origin. This is a parameter free ... More

Can we have another light (~ 145 GeV) Higgs boson?Oct 20 2015A second light Higgs boson, with mass of approximately 145 GeV, is predicted by non-minimal Supersymmetric models. This new particle can account for an apparent \sim 3 \sigma excess recorded by the CMS experiment at the Large Hadron Collider (LHC) during ... More

Supersymmetric Magnetic Moments Sum Rules and Spontaneous Supersymmetry BreakingNov 22 1994In supersymmetry the anomalous magnetic moment of particles belonging to the same supermultiplet is related by simple sum rules. We study the modification of these sum rules in the case of spontaneously broken N=1 global supersymmetry.

Optimization of fuzzy analogy in software cost estimation using linguistic variablesSep 12 2012One of the most important objectives of software engineering community has been the increase of useful models that beneficially explain the development of life cycle and precisely calculate the effort of software cost estimation. In analogy concept, there ... More

Symmetry analysis and exact solutions of one class of (1+3)-dimensional boundary-value problems of the Stefan typeJul 31 2014We present the group classification of one class of (1+3)-dimensional nonlinear boundary-value problems of the Stefan type that simulate the processes of melting and evaporation of metals. The results obtained are used for the construction of the exact ... More

On the Ascoli property for locally convex spaces and topological groupsNov 09 2016Feb 25 2017We characterize Ascoli spaces by showing that a Tychonoff space $X$ is Ascoli iff the canonical map from the free locally convex space $L(X)$ over $X$ into $C_k\big(C_k(X)\big)$ is an embedding of locally convex spaces. We prove that an uncountable direct ... More

A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)Nov 18 2007Nov 20 2007We compute an universal weight function (off-shell Bethe vectors) in any representation with a weight singular vector of the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ applying the method of projections of Drinfeld currents developed in arXiv:math/0610398. ... More

The Szego class with a polynomial weightMar 26 2004Let p be a trigonometric polynomial, nonnegative on the unit circle $\mathbb{T}$. We say that a measure $\sigma$ on $\mathbb{T}$ belongs to the polynomial Szego class, if $d\sigma=sigma'_{ac}d\theta+d\sigma_s$, $\sigma_s$ is singular, and $p\ln \sigma'_{ac}$ ... More

On reggeization of vertex of three reggeized gluons in high energy QCDMay 13 2019May 19 2019The unitarity corrections to the propagator of reggeized gluons calculated in the framework of QCD RFT require a knowledge of the expressions for Reggeon propagator and vertices of interaction of three reggeized gluons (Reggeons) to one QCD loop precision, ... More

Mathematics and Economics of Leonid KantorovichJan 02 2011This is a short overview of the contribution of Leonid Kantorovich into the formation of the modern outlook on the interaction between mathematics and economics.

Submodular spectral functions of principal submatrices of a hermitian matrix, extensions and applicationsJul 20 2010Jun 19 2012We extend the multiplicative submodularity of the principal determinants of a nonnegative definite hermitian matrix to other spectral functions. We show that if $f$ is the primitive of a function that is operator monotone on an interval containing the ... More

Band insulator to Mott insulator transition in a bilayer Hubbard modelMar 27 2007The ground state phase diagram of the half-filled repulsive Hubbard model in a bilayer is investigated using cluster dynamical mean field theory. For weak to intermediate values of Coulomb repulsion $U$, the system undergoes a transition from a Mott insulating ... More

Characterization of almost maximally almost-periodic groupsMar 08 2009Let $G$ be an abelian group. We prove that a group $G$ admits a Hausdorff group topology $\tau$ such that the von Neumann radical $\mathbf{n}(G, \tau)$ of $(G, \tau)$ is non-trivial and finite iff $G$ has a non-trivial finite subgroup. If $G$ is a topological ... More

Some families of graphs with no nonzero real domination rootsMar 12 2015Let G be a simple graph of order n. The domination polynomial is the generating polynomial for the number of dominating sets of G of each cardinality. A root of this polynomial is called a domination root of G. Obviously 0 is a domination root of every ... More

Domination polynomials of k-tree related graphsJul 22 2014Let $G$ be a simple graph of order $n$. The domination polynomial of $G$ is the polynomial $D(G, x)=\sum_{i=\gamma(G)}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$ and $\gamma(G)$ is the domination number of $G$. ... More

A scaling law for the cosmological constant from a stochastic model for cosmic structuresNov 30 2008May 12 2009A set of scaling laws, based on the stochastic motions of the granular components of astronomical systems, is applied to a cosmological model with a positive cosmological constant. It follows that the mass of the dominant particle in the observable universe ... More

Fractal large-scale structure from a stochastic scaling law modelMar 27 2009A stochastic model relating the parameters of astrophysical structures to the parameters of their granular components is applied to the formation of hierarchical, large-scale structures from galaxies assumed as point-like objects. If the density profile ... More

Interval decomposition lattices are balancedJun 24 2013Jun 27 2013Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in a linearly ordered set. Join-irreducible partitions into intervals are characterized in the lattice of all interval decompositions of a set, in a ... More

Explicit computation of the electrostatic energy for an elliptical charged discJan 06 2014This letter describes a method for obtaining an explicit expression for the electrostatic energy of a charged elliptical infinitely thin disc. The charge distribution is assumed to be polynomial. Such explicit values for this energy are fundamental for ... More

Quotient Equations and Integrals of Motion for Vector Massless FieldDec 14 2002In this article a group-theoretical aspect of the method of dimensional reduction is presented. Then, on the base of symmetry analysis of an anisotropic space geometrical description of dimensional reduction of equations for vector massless field is given. ... More

Soft-wall modelling of meson spectraApr 11 2016Apr 14 2016The holographic methods inspired by the gauge/gravity correspondence from string theory have been actively applied to the hadron spectroscopy in the last eleven years. Within the phenomenological bottom-up approach, the linear Regge-like trajectories ... More

Veneziano like amplitude as a test for AdS/QCD modelsNov 24 2011The high energy asymptotics of QCD correlation functions is often used as a test for bottom-up holographic models. Since QCD is not strongly coupled in the ultraviolet domain, such a test may look questionable. We propose that the sum over resonance poles ... More

A five-dimensional ansatz for the Veneziano amplitudeFeb 14 2011Jul 11 2012A hypothesis is put forward that in the case of low-energy QCD, the holographic prescription for calculating the correlation functions may lead to the dual scattering amplitudes of Veneziano type at zero momentum transfer if the non-conformality is properly ... More

Axial coupling from matching constituent quark model to QCDMay 19 2008The axial-vector coupling $g_A$ of a constituent quark is estimated from matching the constituent quark model to the operator product expansion in QCD in the limit of large number of colours under some assumptions. The obtained relation is $g_A\simeq\sqrt{7/11}\approx0.80$, ... More

A five-dimensional effective model for excited light mesonsJul 28 2010In the usual holographic approach to QCD, the meson spectrum is generated due to a non-trivial 5-dimensional background. We propose an alternative 5-dimensional scenario in which the spectrum emerges due to coupling to a scalar field whose condensation ... More

Hydrogen like classification for light nonstrange mesonsSep 27 2007Sep 09 2008The recent experimental results on the spectrum of highly excited light nonstrange mesons are known to reveal a high degree of degeneracy among different groups of states. We revise some suggestions about the nature of the phenomenon and put the relevant ... More

Light meson spectrum and classical symmetries of QCDJun 29 2006Jul 24 2006Modern spectroscopic data on light non-strange meson spectrum is analyzed. It is argued that the observed regularities of experimental spectrum for highly excited states favour a partial restoration of all approximate classical symmetries of QCD Lagrangian ... More

Relation between quark and gluon condensates from QCD sum rulesMar 22 2006A new relation between $\rho$-meson mass, weak $\pi$-meson decay constant, quark and gluon condensates is derived from the QCD sum rules. As a byproduct an explanation for the dominance of $\rho\rho$-decay for the $f_0(1370)$-meson is proposed.

Finite time analysis based on Sum of Squares Technique: Applied to the super-twisting second order sliding mode controlJun 08 2015Finite time analysis of the continuous system is investigated through both stability and stabilization based on Sum of squares programming. A systematic approach is proposed to construct Lyapunov function and Control Lyapunov function for this objective. ... More

Straight homotopy invariantsMay 02 2014May 29 2014Let $X$ and $Y$ be spaces and $M$ be an abelian group. A homotopy invariant $f\colon [X,Y]\to M$ is called straight if there exists a homomorphism $F\colon L(X,Y)\to M$ such that $f([a])=F(\langle a\rangle)$ for all $a\in C(X,Y)$. Here $\langle a\rangle\colon\langle ... More

Commutative algebras and representations of the category of finite setsNov 29 2010Apr 03 2011We prove that two finite-dimensional commutative algebras over an algebraically closed field are isomorphic if and only if they give rise to isomorphic representations of the category of finite sets and surjective maps.

Order of a homotopy invariant in the stable caseAug 31 2009Let X and Y be CW-complexes, U be an abelian group, and f:[X,Y]->U be a map (a homotopy invariant). We say that f has order at most r if the characteristic function of the r'th Cartesian power of the graph of a continuous map a:X->Y Z-linearly determines ... More

CP-violation and $ππ$-interaction in the radiative decays of $K_L$ and $K_S$May 15 2002May 31 2002The phases of terms of amplitude that arise from the $\pi\pi$ interaction are obtained by using a simple realistic model of $\pi\pi$ interaction via virtual $\rho$-meson, instead of the ChPT. It is shown that the standard ChPT approach cannot reproduce ... More

General relativistic MHD simulations of monopole magnetospheres of black holesFeb 18 2004Mar 10 2004In this paper we report the results of the first ever time-dependent general relativistic magnetohydrodynamic simulations of the magnetically dominated monopole magnetospheres of black holes. It is found that the numerical solution evolves towards a stable ... More

Electrodynamics of black hole magnetospheresFeb 17 2004Apr 02 2004Numerical simulations combined with simple analytical arguments are used to reach a number of important conclusions on the nature of the Blandford-Znajek mechanism. We show that, just like in the Penrose mechanism and in the MHD models of Punsly and Coroniti, ... More

Supersymmetric Mechanics in SuperspaceFeb 20 2006These Lectures have been given at Laboratori Nazionali di Frascati in the month of March, 2005. The main idea was to provide our young collegues, who joined us in our attempts to understand the structure of $N$-extended supersymmetric one-dimensional ... More

Blowup dynamics of coherently driven polariton condensatesJul 20 2014Basing on the Gross-Pitaevskii equations, it is predicted that a repulsive (defocusing) interaction makes a 2D polariton condensate able to accumulate its energy under above-resonance optical pumping. The energy can be accumulated during a lot of polariton ... More

Measurement of the total energy of an isolated system by an internal observerDec 10 2004We consider the situation in which an observer internal to an isolated system wants to measure the total energy of the isolated system (this includes his own energy, that of the measuring device and clocks used, etc...). We show that he can do this in ... More

Can the LHC rule out the MSSM ?Jun 12 2011Nov 05 2011If supersymmetry (SUSY) exists in nature and is a solution to the hierarchy problem then it should be detectable at the TeV energy scale which the large hadron collider (LHC) is now exploring. One of the main goals of the LHC is the discovery or exclusion ... More

Geometric scaling in exclusive processesMar 25 2003Apr 08 2003We show that according to the present understanding of the energy evolution of the observables measured in deep-inelastic scattering, the photon-proton scattering amplitude has to exhibit geometric scaling at each impact parameter. We suggest a way to ... More

A peculiar planetary nebula candidate in a globular cluster in the Fornax dwarf spheroidal galaxyNov 14 2007CONTEXT: Until now, only one planetary nebula (PN) has been known in the Fornax dwarf spheroidal galaxy. AIMS: The discovery of a second PN candidate, associated with one of the 5 globular clusters in the Fornax dwarf, is reported. METHODS: Spectra of ... More

Relativistic Toda chain at root of unity III. Relativistic Toda chain hierarchyJul 27 2001Aug 08 2001The hierarchy of the classical nonlinear integrable equations associated with relativistic Toda chain model is considered. It is formulated for the N-th powers of the quantum operators of the corresponding quantum integrable models. Following the ideas ... More