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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

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

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

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

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

Quantum critical scaling of the conductivity tensor at the metal-insulator transition in Nb$_{1-x}$Ti$_{x}$NJun 26 2019In contrast to the Landau paradigm, a metal-insulator transition (MIT), driven purely by competition between itinerance and localization and unaccompanied by any conventional (e.g, magnetic) order-disorder instabilities, admits no obvious local order ... More

Quantum critical scaling of the conductivity tensor at the metal-insulator transition in Nb$_{1-x}$Ti$_{x}$NJun 26 2019Aug 10 2019In contrast to the Landau paradigm, a metal-insulator transition (MIT), driven purely by competition between itinerance and localization and unaccompanied by any conventional (e.g, magnetic) order-disorder instabilities, admits no obvious local order ... 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

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

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

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

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

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

Simulations of Spheroidal Systems with Substructure: Trees in FieldsFeb 09 1997We present a hybrid technique of N-body simulation to deal with collisionless stellar systems having an inhomogeneous global structure. We combine a treecode and a self-consistent field code such that each of the codes model a different component of the ... More

Scalar theories and symmetry breaking in the light-front coupled-cluster methodFeb 02 2014We extend the light-front coupled-cluster (LFCC) method to include zero modes explicitly, in order to be able to compute vacuum structure in theories with symmetry breaking. Applications to phi^3 and phi^4 theories are discussed as illustrations and compared ... More

Electronic transport and quantum localization effects in organic semiconductorsOct 05 2012Dec 06 2012We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in current experimental ... More

Are rigid non-inertial frames of reference really rigid?Jun 20 2013In this paper the notion of the rigid frame of reference within special relativity is analysed. Three definitions of rigidity are formulated. By using several examples of non-inertial frames, it is shown that these definitions are not equivalent. It is ... More

Conformal Anomalies via Canonical TracesAug 16 2005Using Laurent expansions of the Kontsevich-Vishik canonical trace of holomorphic families of classical pseudodifferential operators, we define functionals on the space of Riemannian metrics and investigate their conformal properties, thereby giving a ... More

An existence theorem for the Yamabe problem on manifolds with boundaryAug 29 2009Sep 04 2009Let (M,g) be a compact Riemannian manifold with boundary. We consider the problem (first studied by Escobar in 1992) of finding a conformal metric with constant scalar curvature in the interior and zero mean curvature on the boundary. Using a local test ... More

The Cauchy problem for metric-affine f(R)-gravity in presence of perfect-fluid matterApr 23 2009The Cauchy problem for metric-affine f(R)-gravity `a la Palatini and with torsion, in presence of perfect fluid matter acting as source, is discussed following the well-known Bruhat prescriptions for General Relativity. The problem results well-formulated ... More

A comment on "The Cauchy problem of f(R)- gravity", Class. Quantum Grav., 24, 5667 (2007), arXiv:0709.4414Mar 19 2009A critical comment on [N. Lanahan--Tremblay and V. Faraoni, 2007, {\it Class. Quantum Grav.}, {\bf 24}, 5667, arXiv:0709.4414] is given discussing the well-formulation of the Chauchy problem for $f(R)$-gravity in metric-affine theories.

Topologies on groups determined by sets of convergent sequencesJan 14 2011Jun 04 2012A Hausdorff topological group $(G,\tau)$ is called an $s$-group and $\tau$ is called an $s$-topology if there is a set $S$ of sequences in $G$ such that $\tau$ is the finest Hausdorff group topology on $G$ in which every sequence of $S$ converges to the ... More

Empirical Emission Functions for LPM Suppression of Photon Emission from Quark-Gluon PlasmaNov 06 2002The LPM suppression of photon emission rates from the quark gluon plasma have been studied at different physical conditions of the plasma given by temperature and chemical potentials.The integral equation for the transverse vector function (f(p_t)) consisting ... More

On the Variational method for LPM Suppression of Photon Emission from Quark-Gluon PlasmaAug 12 2002The photon emission rates from the quark gluon plasma have been studied considering LPM suppression effects. The integral equation for the transverse vector function (f(p)) that consists of multiple scattering effects has been solved using self-consistent ... More

Anomalous Ground State in Fe$_{1-x}$Ni$_{x}$ Invar alloysMar 19 2019This paper reports high resolution X-ray photoelectron spectroscopy (XPS) studies on Fe$_{1-x}$Ni$_x$ (x=0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.9) alloys down to 10 K temperature. Core levels and Auger transitions of the alloys except the invar alloy (x=0.4) ... More

Exchange Interaction in Fe$_{1-x}$Ni$_{x}$Alloys: XPS StudyMar 19 2019In this paper, high Fe-concentration Fe$_{1-x}$Ni$_{x}$ alloys were investigated using high resolution X-ray photoelectron spectroscopy (XPS) down to 10K temperature. The Fe 2s core level exhibits three features, two low binding features corresponding ... More

From transient localization to band transport: on quantum corrections and lack thereofMar 29 2019Apr 04 2019Transient localization has emerged as a powerful theoretical framework that is able to describe charge transport in high-mobility organic semiconductors, where the carrier diffusion is strongly limited by their coupling to thermal molecular motions. As ... More

A simple symmetry as a guide toward new physics beyond the Standard ModelJan 01 2013Sep 05 2013There exists one experimental result that cannot be explained by the Standard Model (SM), the current theoretical framework for particle physics: non-zero masses for the neutrinos (elementary particles travelling close to light speed, electrically neutral ... More

Heavy neutrinos, Z' and Higgs bosons at the LHC: new particles from an old symmetryJul 06 2012A new era in particle physics is being spurred on by new data from the Large Hadron Collider. Non-vanishing neutrino masses represent firm observational evidence of new physics beyond the Standard Model. An extension of the latter, based on a SU(3)_C ... More

Composition dependence of magnetoresistance in Fe$_{1-x}$Ni$_{x}$ alloysMar 19 2019Apr 12 2019Resistance of Fe$_{1-x}$Ni$_x$(x=0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7 and 0.9) has been measured using four probe method from 5K to 300K with and without a longitudinal magnetic field of 8T. The zero field resistivity of x=0.1 and 0.9 alloys, predominant ... More

One-dimensional quantum walks driven by two entangled coinsOct 25 2018We study a one-dimensional quantum walk with four internal degrees of freedom (two entangled qubits) driven by two entangled coins. We will demonstrate that the entanglement, introduced by the coins, enables one to steer the walker's state from a classical ... More

Patterning by genetic networks and modular principleFeb 04 2005We consider here the morphogenesis (pattern formation) problem for some genetic network models. First, we show that any given spatio-temporal pattern can be generated by a genetic network involving a sufficiently large number of genes. Moreover, patterning ... More

Spin fluctuations and spin noiseDec 03 2003We have theoretically studied the temporal fluctuations and the resulting kinetic noise in the average spin polarization of an electron ensemble drifting in a quantum wire under a high electric field. Electrons are initially injected in the wire from ... More

Diffusion limited friendship network: A model for six degrees of separationApr 02 2003Aug 28 2003A dynamic model of a society is studied where each person is an uncorrelated and non-interacting random walker. A dynamical random graph represents the acquaintance network of the society whose nodes are the individuals and links are the pairs of mutual ... 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

Leibnizian, Robinsonian, and Boolean Valued MonadsJun 08 2011This is an overview of the present-day versions of monadology with some applications to vector lattices and linear inequalities.

Polarization Transfer in the ^4He(\vec e,e'\vec p)^3H Reaction up to Q^2 = 2.6 (GeV/c)^2Nov 20 2002We have measured the proton recoil polarization in the ^4He(\vec e,e'\vec p)^3H reaction at Q^2 = 0.5, 1.0, 1.6, and 2.6 (GeV/c)^2. The measured ratio of polarization transfer coefficients differs from a fully relativistic calculation, favoring the inclusion ... More

Method of Asymptotics beyond All Orders and Restriction on MapsJun 12 2006The method of asymptotics beyond all orders (ABAO) is known to be a useful tool to investigate separatrix splitting of several maps. For a class of simplectic maps, the form of maps is shown to be restricted by the conditions for the ABAO method to work ... More

Sobolev of the Euler SchoolJan 28 2008May 08 2009This is a short overview of the origins of distribution theory as well as the life of Sergei Sobolev (1908--1989) and his contribution to the formation of the modern outlook of mathematics.

Algebro-Geometric Invariants of Finitely Generated Groups (The Profile of a Representation Variety)Apr 03 2008If G is a finitely generated group, and A an algebraic group, then Hom(G,A) is a possibly reducible algebraic variety denoted by R_A(G). Here we define the profile function, P_d(R_A(G)), of the representation variety of G over A to be P_d(R_A(G))=(N_d(R_A(G)),...,N_0(R_A(G))), ... More

Mellin-Barnes presentations for Whittaker wave functionsJul 01 2019We obtain certain Mellin-Barnes integrals which present Whittaker wave functions related to classical real split forms of simple complex Lie groups.

Asymptotics of the orthogonal polynomials for the Szego class with a polynomial weightApr 28 2004May 06 2004Let p(t) be a trigonometric polynomial, non-negative on the unit circle. We say that a measure \sigma belongs to a polynomial Szego class, if the logarithm of its density is summable over the circle with the weight p(t). For the associated orthogonal ... More

Gradient Clogging in Depth FiltrationJan 14 1998We investigate clogging in depth filtration, in which a dirty fluid is ``cleaned'' by the trapping of dirt particles within the pore space during flow through a porous medium. This leads to a gradient percolation process which exhibits a power law distribution ... More

Reflexive group topologies on Abelian groupsJun 03 2009It is proved that any infinite Abelian group of infinite exponent admits a non-discrete reflexive group topology.

Defect via differential forms with logarithmic polesSep 25 2009We prove formulae for the Hodge numbers of big resolutions of singular hypersurfaces satisfying a Bott-type vanishing condition.

Suppression of Landau damping via electron band gapOct 12 2009Apr 26 2010The pondermotive potential in the X-ray Raman compression can generate an electron band gap which suppresses the Landau damping. The regime is identified where a Langmuir wave can be driven without damping in the stimulated Raman compression. It is shown ... More

Regularity of tensor products of k-algebrasFeb 25 2012Sep 17 2012This paper tackles a problem on the possible transfer of regularity to tensor products of algebras over a field k. The main result establishes necessary and sufficient conditions for a Noetherian tensor product of two extension fields of k to inherit ... More

Many-body corrections to ESR energy and spin-wave excitations in two-dimensional systems with Bychkov-Rashba spin splittingSep 24 2013We report effects of electron-electron (\emph{e-e}) interaction on electron spin resonance (ESR) in perpendicular magnetic field in two-dimensional (2D) systems with Bychkov-Rashba spin splitting induced by spin-orbit interaction (SOI) and structural ... More

A special chain theorem for the embedding dimensionOct 01 2014Jan 20 2017This 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

A Computer Virus Propagation Model Using Delay Differential Equations With Probabilistic Contagion And ImmunityOct 21 2014The SIR model is used extensively in the field of epidemiology, in particular, for the analysis of communal diseases. One problem with SIR and other existing models is that they are tailored to random or Erdos type networks since they do not consider ... More

Modelling the VHE flare of 3C 279 using one zone leptonic modelSep 12 2011We model the simultaneous observations of the flat spectrum radio quasar 3C 279 at radio, optical, X-ray and very high energy (VHE) gamma ray energies during 2006 flare using a simple one zone leptonic model. We consider synchrotron emission due to cooling ... More

The Cauchy problem for metric-affine f(R)-gravity in presence of a Klein-Gordon scalar fieldMar 22 2010We study the initial value formulation of metric-affine f(R)-gravity in presence of a Klein-Gordon scalar field acting as source of the field equations. Sufficient conditions for the well-posedness of the Cauchy problem are formulated. This result completes ... More

Low metallicity AGB models: H profile in the 13C-pocket and the effect on the s-processMay 17 2010The 13C(a, n)16O reaction is the major neutron source in low mass asymptotic giant branch (AGB) stars, where the main and the strong s process components are synthesised. After a third dredge-up (TDU) episode, 13C burns radiatively in a thin pocket which ... More

Resonating valence bond wave function for the two dimensional fractional spin liquidAug 13 2003Feb 19 2004The unconventional low-lying spin excitations, recently observed in neutron scattering experiments on ${\rm Cs_2 Cu Cl_4}$, are explained with a spin liquid wave function. The dispersion relation as well as the wave vector of the incommensurate spin correlations ... More

Enhanced signal propagation in a network with unidirectional and random couplingsApr 22 2014We investigate the effect of unidirectional regular and random couplings of units in a network on stochastic resonance. For simplicity we choose the units as Bellows map with bistability. In a regular network we apply a weak periodic signal and noise ... More

On the Ascoli property for locally convex spaces and topological groupsNov 09 2016We 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

Quotient Equations and Integrals of Motion for Massive Spinor FieldMar 29 2003In 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 equation for massive spinor field is given. ... More

Soft wall model with inverse exponential profile as a model for the axial and pseudoscalar mesonsJul 11 2012According to the conjecture of the gauge/gravity duality a strongly coupled 4D field theory may be described by a dual 5D theory which is a free field theory in the first approximation. The usual description of the axial-vector sector in the bottom-up ... More

No-Wall Holographic Model for QCDDec 22 2010Mar 03 2011We propose a new type of bottom-up holographic model describing the Regge like spectrum of mesons. This type of spectrum emerges due to condensation of a scalar field in the bulk anti-de Sitter space. The gauge invariance of the action describing the ... More

Holographic like models as a five-dimensional rewriting of large-Nc QCDJan 18 2010Oct 13 2010The AdS/QCD models are known to be tightly related with the QCD sum rules in the large-Nc (called also planar) limit. Rewriting the theory of infinite tower of free stable mesons expected in the large-Nc QCD as a five-dimensional theory we scrutinize ... More

About the possibility of five-dimensional effective theories for low-energy QCDMar 18 2009The AdS/QCD models suggest an interesting idea that the effective theory of low-energy QCD may be formulated as a 5-dimensional field theory in the weak coupling regime in which the fifth coordinate plays a role of inverse energy scale. Taking the point ... More

A five-dimensional toy-model for light hadron excitationsAug 04 2009Jun 17 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

Properties of new unflavored mesons below 2.4 GeVJul 05 2007The global features of spectrum of highly excited light nonstrange mesons can be well understood within both chiral symmetry restoration scenario combined with the relation $M^2\sim J+n$ and within nonrelativistic description based on the relation $M^2\sim ... More

Saunders Mac Lane, the Knight of MathematicsJul 11 2005This is a short obituary of Saunders Mac Lane (1909--2005).

Energy flows in vibrated granular mediaMay 20 1998We study vibrated granular media, investigating each of the three components of the energy flow: particle-particle dissipation, energy input at the vibrating wall, and particle-wall dissipation. Energy dissipated by interparticle collisions is well estimated ... More

Energy non-equipartition in systems of inelastic, rough spheresMay 20 1998We calculate and verify with simulations the ratio between the average translational and rotational energies of systems with rough, inelastic particles, either forced or freely cooling. The ratio shows non-equipartition of energy. In stationary flows, ... More

Nucleon participants or quark participants?Feb 24 2003May 07 2003We show that centrality dependence of charged particle pseudorapidity density at midrapidity in Au+Au collisions at RHIC is well described as proportional to We show that centrality dependence of charged particle pseudorapidity density at midrapidity ... More

BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp FormAug 01 2011Nov 15 2011We study BPS saturated one-loop amplitudes in type II string theory compactified on K3 x T^2. The classes of amplitudes we consider are only sensitive to the very basic topological data of the internal K3 manifold. As a consequence, the integrands of ... More

Uses of Linear Polarization as a Probe of Extrasolar Planet AtmospheresMay 22 2003We point out some advantages of making observations of extrasolar planets in linearly polarized (LP) light. Older cool stars have quite low levels (~ 10^-4 to 10^-5) of fractional LP, while extrasolar planets can have relatively high fractional LP (~0.1). ... More

CP-violation in K_{S,L}->π^{+}π^{-}γand K_{S,L}->π^{+}π^{-}e^{+}e^{-} decaysSep 04 2001Apr 27 2002The dependence of K_{S,L}->\pi^{+}\pi^{-}\gamma decay probabilities on photon polarization is calculated. The phases of terms of amplitude that arise from the pion-pion interaction are obtained by using a simple realistic model of pion-pion interaction ... More

Caldirola-Kanai Oscillator in Classical Formulation of Quantum MechanicsFeb 23 1998The quadrature distribution for the quantum damped oscillator is introduced in the framework of the formulation of quantum mechanics based on the tomography scheme. The probability distribution for the coherent and Fock states of the damped oscillator ... More

Magnetic dissipation in the Crab NebulaJul 13 2012Oct 15 2012Magnetic dissipation is frequently invoked as a way of powering the observed emission of relativistic flows in Gamma Ray Bursts and Active Galactic Nuclei. Pulsar Wind Nebulae provide closer to home cosmic laboratories which can be used to test the hypothesis. ... More