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The space of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groupsJan 14 2012Nov 02 2012The space $\mathcal{Z}$ of leftinvariant orthogonal almost complex structures, keeping the orientation, on 6-dimensional Lie groups is researched. To get explicit view of this space elements the isomorphism of $\mathcal{Z}$ and $\mathbb{C}P^3$ is used. ... More

Mechanism of orbital reconstruction at the interfaces of transition metal oxidesJan 28 2009Jul 18 2009Orbital reconstruction at interfaces between YBa2Cu3O6 and SrO-terminated SrTiO3 is studied using local spin density approximation (LSDA) with intra-atomic Coulomb repulsion (LSDA+U). The change of population of interfacial Cu 3d orbitals results in stabilization ... More

Concern Regarding "A Non-Inflationary Solution to the Entropy Problem of Standard Cosmology."Mar 03 2008Jan 07 2009We discuss the entropy and the size/homogeneity/horizon problems in power-law expanding universes with one scale initial conditions. We set the minimal scale $\Lambda = 10^{25}$ GeV at which a non-inflationary solution is possible and show that the radiation ... More

Effect of metallicity on low mass X-ray binaries in globular clustersSep 18 2005We propose that the observed difference in the formation rates of bright low-mass X-ray binaries in metal-rich and metal-poor globular clusters can be explained by taking into account the difference in the stellar structure of main sequence donors with ... More

Low Mass X-ray Binaries and Metallicity Dependence: Story of FailuresSep 18 2005Observations of galactic and extra-galactic globular clusters have shown that on average metal-rich clusters are ~3 times as likely to contain a bright X-ray source than their metal-poor counterparts. We propose that this can be explained by taking into ... More

Renormalisation Group for Gravity and Dimensional ReductionSep 23 2018The functional renormalisation group for the Einstein-Hilbert action is investigated for the case of four infinite (or large) and one compact dimension. The motivation for this study is given by the suggestion that gravity in more than four dimensions ... More

About integrability of almost complex structures on strictly Nearly Kähler 6-manifoldsMay 06 2013We show that any almost complex structure, positively tamed with $\omega$ on nearly K\"{a}hler 6-manifold $(M,g,J,\omega)$ is not integrable

Loops on polyhedral products and diagonal arrangementsJan 19 2009In this paper we establish a connection between the loop space homology of the generalization of wedge defined by a simplicial complex K (so called polyhedral product) and the homology of certain diagonal arrangements associated with K. We illustrate ... More

Special Partial GraphsMay 31 2013The attempts to prove the Four Color Problem last for long years. A little hope arises that the properties of the minimal partial triangulations will be very useful for the solution of the Four Color Problem. That is why the material of this paper is ... More

Interior capacities of condensers in locally compact spacesFeb 03 2009The study is motivated by the known fact that, in the noncompact case, the main minimum-problem of the theory of interior capacities of condensers in a locally compact space is in general unsolvable, and this occurs even under very natural assumptions ... More

Left-invariant almost nearly Kähler structures on $SU(2)\times SU(2)$ in the tetrahedron visualization for $CP^3$Aug 29 2006Jun 04 2008The set of maximal non-integrable structures $(SU(2)\times SU(2),B,I)$, where $B$ is Killing-Cartan metric is described as subset of $\mathbb{CP}^3$. The visualization of complex projective space $\mathbb{CP}^3$ as tetrahedron which edges and faces are ... More

High frequency asymptotics of global vibrations in a problem with concentrated massApr 16 2008We consider an elastic system containing a small region where the density is very much higher then elsewhere. Such system possesses two types of eigenvibrations, which are local and global vibrations. Complete asymptotic expansions of global eigenvibrations ... More

Classification of Maximal Subgroups of Odd Index in Finite Simple Classical groups: AddendumOct 04 2017Jan 06 2018A classification of maximal subgroups of odd index in finite simple groups was given by Liebeck and Saxl and, independently, Kantor in 1980s. In the cases of alternating groups or classical groups of Lie type over fields of odd characteristics, the classification ... More

Maltese cross coupling to cold atoms in free spaceFeb 08 2019We demonstrate a novel geometry for strong coupling of light and matter in free space, i.e., without the use of optical cavities. Guided by optical metrology tools, we use a manual pick-and-place technique to precisely and stably position four high numerical ... More

String Cosmology in the Jackiw-Telteiboim Model with Quantum CorrectionsJul 17 2002This note deals with the possibility of non-trivial cosmological solutions given by quantum corrections in the framework of the Jackiw-Telteiboim model to the bidimensional gravity. The resulting model shows that the quantum corrections transform, in ... More

Dilaton Gravity with a Non-Minimally Coupled Scalar FieldOct 11 1995We discuss the two-dimensional dilaton gravity with a scalar field as the source matter. The coupling between the gravity and the scalar, massless, field is presented in an unusual form. We work out two examples of these couplings, and solutions with ... More

The conical singularity method and the energy-momentum tensor near the black hole horizon using the Kruskal coordinatesApr 16 2007We apply the conical singularity method to the two dimensional version of the Schwarzschild metric to obtain the Kruskal coordinates of the black hole in a very simple and direct way. Then we make use of this metric in an approximated version and calculate ... More

Hawking Radiation in the Dilaton Gravity with a Non-Minimally Coupled Scalar FieldSep 20 1999We discuss the two-dimensional dilaton gravity with a scalar field as the source matter where the coupling with the gravity is given, besides the minimal one, through an external field. This coupling generalizes the conformal anomaly in the same way as ... More

Implementing Genetic Algorithms on Arduino Micro-ControllersFeb 10 2010Since their conception in 1975, Genetic Algorithms have been an extremely popular approach to find exact or approximate solutions to optimization and search problems. Over the last years there has been an enhanced interest in the field with related techniques, ... More

Superconductivity Controlled by Polarization in Field-Effect Devices of Confined GeometryJul 27 2004Nov 18 2004We propose a concept for superconducting electric field-effect devices based on superconducting films sandwiched between ferroelectric layers. We provide theoretical calculations that indicate how the field effect in these devices could be amplified, ... More

Vortex Splitting in Subcritical Nonlinear Schrodinger EquationJan 17 2008Vortices and axisymmetric vortex rings are considered in the framework of the subcritical nonlinear Schrodinger equations. The higher order nonlinearity present in such systems models many-body interactions in superfluid systems and allows one to study ... More

Physics of systems with motivation as an interdisciplinary branch of scienceFeb 22 2009The paper discusses the fundamental characteristics distinguishing the natural and social systems from each other. It considers in detail the basic approaches, prospects, and possibilities of constructing mathematical description for social systems as ... More

Weak Measurements with Entangled ProbesFeb 14 2008Encoding the imaginary part of a weak value onto an initially entangled probe can modify its entanglement content - provided the probe observable can distinguish between states of different entropies. Apart from fundamental interest, this result illustrates ... More

Highly non-Gaussian states created via cross-Kerr nonlinearitySep 13 2007We propose a feasible scheme for generation of strongly non-Gaussian states using the cross-Kerr nonlinearity. The resultant states are highly non-classical states of electromagnetic field and exhibit negativity of their Wigner function, sub-Poissonian ... More

Computation of a homogeneous coordinate time series for European GPS stations by reprocessing of the weekly EPN solutionsJul 29 2004Weekly coordinate time series for the all EPN (European Permanent GPS Network) stations for the period of observations beginning from GPS week 834 was obtained by a reprocessing of the official EPN solutions. Comparison of this series with EPN Central ... More

Interactions of vortices with rarefaction solitary waves in a Bose-Einstein condensate and their role in the decay of superfluid turbulenceJan 06 2004Feb 26 2004There are several ways to create the vorticity-free solitary waves -- rarefaction pulses -- in condensates: by the process of strongly nonequilibrium condensate formation in a weakly interacting Bose gas, by creating local depletion of the condensate ... More

Entanglement Concentration for two atomic ensembles using an effective atom-light beamsplitterAug 12 2011We present a protocol for increasing the entanglement between two atomic ensembles based on applying an approximate atom-light beamsplitter transformation to both ensembles. The effective asymmetric atom-light beamsplitter is created via a double-pass ... More

Nine New Variable Stars in CamelopardalisJul 14 2013Nine new short period variable stars have been discovered in the direction of the open cluster Cr464 in Camelopardalis. The field was observed using Tzec Maun Observatory's telescope AP180. Two new variable stars were classified as pulsating stars (RRab ... More

On Cartwright's theoremMar 31 2016We present a characterization of sets for which Cartwright's theorem holds true. The connection is discussed between these sets and sampling sets for entire functions of exponential type.

On Nature of Plasmon Drag EffectJan 24 2016Mar 26 2016Light-matter momentum transfer in plasmonic materials is theoretically discussed in the framework of plasmonic pressure mechanism taking into account non-equilibrium electron dynamics and thermalization process. We show that our approach explains the ... More

Non-Perturbative Instabilities as a Solution of the Cosmological Moduli ProblemJul 12 2005It is widely accepted that moduli in the mass range 10eV - $10^4$GeV which start to oscillate with an amplitude of the order of the Planck scale either jeopardize successful predictions of nucleosynthesis or overclose the Universe. It is shown that the ... More

Magnetically ordered state at correlated oxide interfaces: the role of random oxygen defectsMay 09 2012Using an effective one-band Hubbard model with disorder, we consider magnetic states of the correlated oxide interfaces, where effective hole self-doping and a magnetially ordered state emerge due to electronic and ionic reconstructions. By employing ... More

Structural relaxation and metal-insulator transition at the interface between SrTiO3 and LaAlO3Jan 29 2009Feb 27 2010The electronic structure of interfaces between LaAlO$_3$ and SrTiO$_3$ is studied using local spin density approximation (LSDA) with intra-atomic Coulomb repulsion (LSDA+U). We find that the nature of the interface metallic states is strongly affected ... More

Interface controlled electronic charge inhomogeneities in correlated heterostructuresMar 23 2006Sep 17 2006For heterostructures of ultrathin, strongly correlated copper-oxide films and dielectric perovskite layers, we predict inhomogeneous electronic interface states. Our study is based on an extended Hubbard model for the cuprate film. The interface is implemented ... More

Potential algebras with few generatorsJun 18 2018We give a complete description of quadratic potential and twisted potential algebras on 3 generators as well as cubic potential and twisted potential algebras on 2 generators up to graded algebra isomorphisms under the assumption that the ground field ... More

Optimal Combinatorial Batch Codes based on Block DesignsDec 19 2013Nov 11 2014Batch codes, introduced by Ishai, Kushilevitz, Ostrovsky and Sahai, represent the distributed storage of an $n$-element data set on $m$ servers in such a way that any batch of $k$ data items can be retrieved by reading at most one (or more generally, ... More

An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-lineJan 13 2013Feb 09 2013We consider a pencil of non-self-adjoint matrix Sturm-Liouville operators on the half line and study the inverse problem of constructing this pencil by its Weyl matrix. A uniqueness theorem is proved, and a constructive algorithm for the solution is obtained. ... More

Various concepts of Riesz energy of measures and application to condensers with touching platesOct 01 2018Oct 18 2018We investigate minimum weak $\alpha$-Riesz energy problems with external fields in both the unconstrained and constrained settings for generalized condensers $(A_1,A_2)$ such that the closures of $A_1$ and $A_2$ in $\mathbb R^n$ are allowed to intersect ... More

Balayage for Riesz kernels with application to potential theory for the associated Green kernelsOct 02 2016Aug 30 2017We study properties of the $\alpha$-Green kernel $g_D^\alpha$ of order $0<\alpha\leqslant2$ for a domain $D\subset\mathbb R^n$, $n\geqslant3$. This kernel is associated with the $\alpha$-Riesz kernel $|x-y|^{\alpha-n}$, $x,y\in\mathbb R^n$, in a manner ... More

Kleinian orbifolds uniformized by RP groups with an elliptic and a hyperbolic generatorMar 31 2009We consider non-elementary Kleinian groups \Gamma, without invariant plane, generated by an elliptic and a hyperbolic element with their axes lying in one plane. We find presentations and a complete list of orbifolds uniformized by such \Gamma.

Adjoint spaces and flag varieties of p-compact groupsFeb 20 2006For a compact Lie group $G$ with maximal torus $T$, Pittie and Smith showed that the flag variety $G/T$ is always a stably framed boundary. We generalize this to the category of $p$-compact groups, where the geometric argument is replaced by a homotopy ... More

Direct and inverse spectral problems for a class of non-selfadjoint band matricesApr 19 2013The spectral properties of a class of band matrices are investigated. The reconstruction of matrices of this special class from given spectral data is also studied. Necessary and sufficient conditions for that reconstruction are found. The obtained results ... More

On the principal impossibility to prove P=NPNov 15 2012The material of the article is devoted to the most complicated and interesting problem -- a problem of P = NP?. This research was presented to mathematical community in Hyderabad during International Congress of Mathematicians. But there it was published ... More

Representation spaces of the Jordan planeSep 04 2012We investigate relations between the properties of an algebra and its varieties of finite-dimensional module structures, on the example of the Jordan plane $R=k<x,y>/ (xy-yx-y^2)$. Complete description of irreducible components of the representation variety ... More

Magnetic Schrödinger operators on periodic discrete graphsDec 27 2015Nov 26 2016We consider magnetic Schr\"odinger operators with periodic magnetic and electric potentials on periodic discrete graphs. The spectrum of the operators consists of an absolutely continuous part (a union of a finite number of non-degenerate bands) plus ... More

On Koszulity for operads of Conformal Field TheoryApr 02 2013We study two closely related operads: the Gelfand-Dorfman operad GD and the Conformal Lie Operad CLie. The latter is the operad governing the Lie conformal algebra structure. We prove Koszulity of the Conformal Lie operad using the Groebner bases theory ... More

On maxima of stationary fieldsOct 10 2018Oct 15 2018Let $\{X_{\mathbf{n}} : \mathbf{n}\in\mathbb{Z}^d\}$ be a weakly dependent stationary field with maxima $M_{A} := \sup\{X_{\mathbf{i}} : \mathbf{i}\in A\}$ for finite $A\subset\mathbb{Z}^d$ and $M_{\mathbf{n}} := \sup\{X_{\mathbf{i}} : \mathbf{1} \leq ... More

Comparing Techniques for Aggregating Interrelated Replications in Software EngineeringJul 18 2018Jul 29 2018Context: Researchers from different groups and institutions are collaborating towards the construction of groups of interrelated replications. Applying unsuitable techniques to aggregate interrelated replications' results may impact the reliability of ... More

Chandler wobble: two more large phase jumps revealedAug 26 2009Investigations of the anomalies in the Earth rotation, in particular, the polar motion components, play an important role in our understanding of the processes that drive changes in the Earth's surface, interior, atmosphere, and ocean. This paper is primarily ... More

Green kernels associated with Riesz kernelsOct 02 2016We study properties of the $\alpha$-Green kernel of order $0<\alpha\leqslant2$ for a domain $D\subset\mathbb R^n$, $n\geqslant3$. This kernel is associated with the M. Riesz kernel $|x-y|^{\alpha-n}$, $x,y\in\mathbb R^n$, in a manner well known in the ... More

Scattering on periodic metric graphsJul 23 2015We consider Schr\"odinger operators with real integrable potentials on periodic metric graphs. We show that the wave operators exist and are complete. Furthermore, we prove that the standard Fredholm determinant is well-defined without any modification ... More

Spectral band bracketing for Laplacians on periodic metric graphsJun 29 2014We consider Laplacians on periodic metric graphs with unit-length edges. The spectrum of these operators consists of an absolutely continuous part (which is a union of an infinite number of non-degenerated spectral bands) plus an infinite number of flat ... More

A short proof of Grünbaum's Conjecture about affine invariant pointsFeb 21 2016Let us denote by $\mathcal K_n$ the hyperspace of all convex bodies of $\mathbb R^n$ equipped with the Hausdorff distance topology. An affine invariant point $p$ is a continuous and Aff(n)-equivariant map $p:\mathcal K_n\to \mathbb R^n$, where Aff(n) ... More

Asymptotic independence for unimodal densitiesDec 22 2009Asymptotic independence of the components of random vectors is a concept used in many applications. The standard criteria for checking asymptotic independence are given in terms of distribution functions (dfs). Dfs are rarely available in an explicit ... More

On asymptotic efficiency of multivariate version of Spearman's rhoJun 05 2009A multivariate version of Spearman's rho for testing independence is considered. Its asymptotic efficiency is calculated under a general distribution model specified by the dependence function. The efficiency comparison study that involves other multivariate ... More

Multiphotons and Photon-JetsFeb 28 2012We discuss an extension of the Standard Model with a new vector-boson decaying predominantly into a multi-photon final state through intermediate light degrees of freedom. The model has a distinctive phase in which the photons are collimated. As such, ... More

The impurity problem in a bilayer system of dipolesJun 24 2013Nov 17 2013We consider a bilayer geometry where a single impurity moves in a two-dimensional plane and is coupled, via dipolar interactions, to a two-dimensional system of fermions residing in the second layer. Dipoles in both layers point in the same direction ... More

Brane gas-driven bulk expansion as a precursor stage to brane inflationDec 05 2005Apr 25 2006We propose a new way of obtaining slow-roll inflation in the context of higher dimensional models motivated by string and M theory. In our model, all extra spatial dimensions are orbifolded. The initial conditions are taken to be a hot dense bulk brane ... More

Enumerative Encoding in the Grassmannian SpaceMar 09 2009Codes in the Grassmannian space have found recently application in network coding. Representation of $k$-dimensional subspaces of $\F_q^n$ has generally an essential role in solving coding problems in the Grassmannian, and in particular in encoding subspaces ... More

The Golod-Shafarevich inequality for Hilbert series of quadratic algebras and the Anick conjectureJul 22 2010We study the question on whether the famous Golod-Shafarevich estimate, which gives a lower bound for the Hilbert series of a (noncommutative) algebra, is attained. This question was considered by Anick in his 1983 paper 'Generic algebras and CW-complexes', ... More

Three dimensional Sklyanin algebras and Groebner basesJan 04 2016Aug 27 2016We consider a Sklyanin algebra S with 3 generators, which is the quadratic algebra over a field k with three generators x,y,z given by three relations pxy+qyx+rzz=0, pyz+qzy+rxx=0 and pzx+qxz+ryy=0, where p,q,r are parameters from the fileld k. This class ... More

Quadratic automaton algebras and intermediate growthMay 28 2017Nov 21 2017We present an example of a quadratic algebra given by three generators and three relations, which is automaton (the set of normal words forms a regular language) and such that its ideal of relations does not possess a finite Gr\"obner basis with respect ... More

A fuzzy-set theoretical framework for computing exit rates of rare events in potential-driven diffusion processesAug 02 2017This article is about molecular simulation. However, the theoretical results apply for general overdamped Langevin dynamics simulations. Molecular simulation is often used for determining the stability of a complex (e.g., ligand-receptor). The stability ... More

An extremal problem with applications to testing multivariate independenceDec 03 2010Some problems of statistics can be reduced to extremal problems of minimizing functionals of smooth functions defined on the cube $[0,1]^m$, $m\geq 2$. In this paper, we study a class of extremal problems that is closely connected to the problem of testing ... More

The classification problem for graphs and lattices is wildAug 29 2010Jun 16 2014We prove that the classification problem for graphs and several types of algebraic lattices (distributive, congruence and modular) up to isomorphism contains the classification problem for pairs of matrices up to simultaneous similarity.

Adaptive density estimation based on a mixture of GammasMay 26 2016We consider the problem of Bayesian density estimation on the positive semiline for possibly unbounded densities. We propose a hierarchical Bayesian estimator based on the gamma mixture prior which can be viewed as a location mixture. We study convergence ... More

The Confining Heterotic Brane Gas: A Non-Inflationary Solution to the Entropy and Horizon Problems of Standard CosmologyNov 29 2005Dec 07 2005We propose a mechanism for solving the horizon and entropy problems of standard cosmology which does not make use of cosmological inflation. Crucial ingredients of our scenario are brane gases, extra dimensions, and a confining potential due to string ... More

Ghost-gluon and ghost-quark bound states and their role in BRST quartetsDec 19 2011A non-perturbative version of the BRST quartet mechanism in infrared Landau gauge QCD is proposed for transverse gluons and quarks. Based on the positivity violation for transverse gluons the content of the respective non-perturbative BRST quartet is ... More

Simplified normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving mapsDec 20 2013We derive simplified normal forms for an area-preserving map in a neighbourhood of a degenerate resonant elliptic fixed point. Such fixed points appear in generic two-parameter families of area-preserving maps. We also derive a simplified normal form ... More

On the solution of the Graph Isomorphism Problem Part 1Jul 07 2010The presented material is devoted to the equivalent conversion from the vertex graphs to the edge graphs. We suggest that the proved theorems solve the problem of the isomorphism of graphs, the problem of the graph's enumeration with the help of the effective ... More

Equivariant absolute extensor property on hyperspaces of convex setsJan 12 2014Feb 07 2014Let G be a compact group acting on a Banach space L by means of linear isometries. The action of G on L induces a natural continuous action on cc(L), the hyperspace of all compact convex subsets of L endowed with the Hausdorff metric topology. The main ... More

Limit theory for planar Gilbert tessellationsApr 30 2010A Gilbert tessellation arises by letting linear segments (cracks) in the plane unfold in time with constant speed, starting from a homogeneous Poisson point process of germs in randomly chosen directions. Whenever a growing edge hits an already existing ... More

Asymptotics of the order statistics for a process with a regenerative structureJul 05 2017Sep 14 2017In the paper, a regenerative process $\{X_n:n\in\mathbb{N}\}$ with finite mean cycle length is considered. For~$M_n^{(q)}$ denoting the $q$-th largest value in $\{X_k : 1\leqslant k \leqslant n\}$, we prove that \begin{equation*} \sup_{x\in\mathbb{R}} ... More

Goodness-of-fit tests based on sup-functionals of weighted empirical processesJun 02 2014Apr 01 2016A large class of goodness-of-fit test statistics based on sup-functionals of weighted empirical processes is proposed and studied. The weight functions employed are Erd\H{o}s-Feller-Kolmogorov-Petrovski upper-class functions of a Brownian bridge. Based ... More

Ab initio Calculations of the Vibrational Modes of MnAs and Ga1-xMnxAsOct 18 2006In this work, we present our theoretical results for the equation of state and the phonon dispersions of MnAs, as well as the Mn concentration dependence of both the lattice parameter and the phonon frequencies of the cubic GaMnAs alloys. The results ... More

A Review of the Distance and Structure of the Large Magellanic CloudOct 23 2003Nov 26 2003The average of 14 recent measurements of the distance to the Large Magellanic Cloud (LMC) implies a true modulus of 18.50 +- 0.02 mag, and demonstrates a trend in the past 2 years of convergence toward a standard value. The distance indicators reviewed ... More

Unparticle inspired corrections to the Gravitational Quantum WellJul 16 2010Aug 28 2010We consider unparticle inspired corrections of the type ${(\frac{R_{G}}{r})}^\beta$ to the Newtonian potential in the context of the gravitational quantum well. The new energy spectrum is computed and bounds on the parameters of these corrections are ... More

The Stellar Halo in the Large Magellanic Cloud: Mass, Luminosity, and Microlensing PredictionsDec 17 2003Recently obtained kinematic data has shown that the Large Magellanic Cloud (LMC) possesses an old stellar halo. In order to further characterize the properties of this halo, parametric King models are fit to the surface density of RR Lyrae stars. Using ... More

Population II standard candle calibration of the Fundamental Plane of groups and clusters of galaxies and the Hubble ConstantMar 03 2003Sep 23 2006This paper has been withdrawn by the author.

Legendrian contact homology and topological entropySep 12 2014Oct 15 2016In this paper we study the growth rate of a version of Legendrian contact homology, which we call strip Legendrian contact homology, in 3-dimensional contact manifolds and its relation to the topological entropy of Reeb flows. We show that: if for a pair ... More

PolicySpace: a modeling platformDec 31 2017Public Policy involves proposing changes to existing practices, alternatives, new habits. Citizens and institutions react accordingly, accepting, refuting or adapting. Agent-based modeling is a tool that can enrich the policy analysis package explicitly ... More

Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soupAug 03 2018It has been recently understood (arXiv:1212.2885, arXiv:1310.4764, arXiv:1410.0605) that for a general class of percolation models on $\mathbb{Z}^d$ satisfying suitable decoupling inequalities, which includes i.a.\ Bernoulli percolation, random interlacements ... More

Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equationsMay 05 2011Jul 12 2011The exact momentum conservation laws for the nonlinear gyrokinetic Vlasov-Poisson equations are derived by applying the Noether method on the gyrokinetic variational principle [A. J. Brizard, Phys. Plasmas {\bf 7}, 4816 (2000)]. From the gyrokinetic Noether ... More

Gaussian Beams in Near-Zero Transition MetamaterialsAug 01 2012We theoretically and numerically investigate the phenomenon of resonant field enhancement of Gaussian beams in two types of transition metamaterials: with a positive-zero-negative index profile and with a positive-zero-positive index profile and demonstrate ... More

Does H2O improve the catalytic activity of Au1-4/MgO towards CO oxidation?Aug 23 2011The present density functional theory study addresses the question whether the presence of H2O influences the catalytic activity of small gold clusters, Au1-4/MgO(100), towards the oxidation of carbon monoxide. To this end, we studied the (co-)adsorption ... More

Gaussian multipartite bound informationAug 02 2011Feb 07 2013We demonstrate the existence of Gaussian multipartite bound information which is a classical analog of Gaussian multipartite bound entanglement. We construct a tripartite Gaussian distribution from which no secret key can be distilled, but which cannot ... More

Thermal Timescale Mass Transfer and the Evolution of White Dwarf BinariesOct 05 2003The evolution of binaries consisting of evolved main sequence stars (1 < M_d/Msun < 3.5) with white dwarf companions (0.7 < M_wd/Msun < 1.2) is investigated through the thermal mass transfer phase. Taking into account the stabilizing effect of a strong, ... More

Norm Monitoring under Partial Action ObservabilityMay 15 2015Apr 21 2016In the context of using norms for controlling multi-agent systems, a vitally important question that has not yet been addressed in the literature is the development of mechanisms for monitoring norm compliance under partial action observability. This ... More

Electromagnetically induced invisibility cloakingJun 18 2012Invisibility cloaking imposes strict conditions on the refractive index profiles of cloaking media that must be satisfied to successfully hide an object. The first experimental demonstrations of cloaking used artificial metamaterials to respond to this ... More

A lattice model for resonance in open periodic waveguidesDec 30 2010We present a discrete model of resonant scattering of waves by an open periodic waveguide. The model elucidates a phenomenon common in electromagnetics, in which the interaction of plane waves with embedded guided modes of the waveguide causes sharp transmission ... More

Finite temperature phase diagram of the classical Kitaev-Heisenberg modelApr 29 2013Jul 18 2013We investigate the finite-temperature phase diagram of the classical Kitaev-Heisenberg model on the hexagonal lattice. Due to the anisotropy introduced by the Kitaev interaction, the model is magnetically ordered at low temperatures for all values of ... More

Critical properties of the Kitaev-Heisenberg modelMay 17 2012Nov 18 2012We study critical properties of the Kitaev-Heisenberg model on the honeycomb lattice at finite temperatures which might describe the physics of the quasi two-dimensional compounds, Na$_2$IrO$_3$ and Li$_2$IrO$_3$. The model undergoes two phase transitions ... More

Variable Focus Nonlinear Lens via Transformation OpticsApr 17 2012We propose a structure consisting of nonlinear core and graded-index shell that can be switched from a concentrator squeezing light into the core to a variable focus lens by varying the intensity of incident light.

Separation axioms and covering dimension of asymmetric normed spacesMay 03 2018Jan 05 2019In this paper, we approach the question if some of the separation axioms are equivalent in the class of asymmetric normed spaces. In particular, we make a remark on a known theorem which states that every $T_1$ asymmetric normed space with compact closed ... More

Universal Gröbner Bases for Binary Linear CodesApr 04 2013Each linear code can be described by a code ideal given as the sum of a toric ideal and a non-prime ideal. In this way, several concepts from the theory of toric ideals can be translated into the setting of code ideals. It will be shown that after adjusting ... More

Graver Bases and Universal Gröbner Bases for Linear CodesJan 24 2014May 07 2014Two correspondences have been provided that associate any linear code over a finite field with a binomial ideal. In this paper, algorithms for computing their Graver bases and universal Gr\"obner bases are given. To this end, a connection between these ... More

On the dynamics of classical particle with spinJul 25 2010The complete explicitly covariant 4-dimensional description of the dynamics of a free classical particle with spin within the framework of the special relativity theory is presented. The key point of our approach is the the introduction of the new vector ... More

Legendrian contact homology and topological entropySep 12 2014Apr 23 2016In this paper we study the growth rate of a version of Legendrian contact homology, which we call strip Legendrian contact homology, in 3-dimensional contact manifolds and its relation to the topological entropy of Reeb flows. We show that: if for a pair ... More

Modeling tax distribution in metropolitan regions with PolicySpaceDec 31 2018Brazilian executive body has consistently vetoed legislative initiatives easing creation and emancipation of municipalities. The literature lists evidence of the negative results of municipal fragmentation, especially so for metropolitan regions. In order ... More

Size distribution of circumstellar disks in the Trapezium clusterJun 24 2005In this paper we present results on the size distribution of circumstellar disks in the Trapezium cluster as measured from HST/WFPC2 data. Direct diameter measurements of a sample of 135 bright proplyds and 14 silhouettes disks suggest that there is a ... More