Results for "M. Lazar"

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On the interpretation and applicability of $κ$-distributionsFeb 12 2016The generally accepted representation of $\kappa$-distributions in space plasma physics allows for two different alternatives, namely assuming either the temperature or the thermal velocity to be $\kappa$-independent. The present paper aims to clarify ... More
Fast magnetization in counterstreaming plasmas with temperature anisotropiesNov 15 2007Counterstreaming plasmas exhibits an electromagnetic unstable mode of filamentation type, which is responsible for the magnetization of plasma system. It is shown that filamentation instability becomes significantly faster when plasma is hotter in the ... More
Flexible Lyapunov Functions and Applications to Fast Mechatronic SystemsMar 02 2010The property that every control system should posses is stability, which translates into safety in real-life applications. A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions (CLFs). Classically, ... More
Kappa distributions: theory and applications in space plasmasMar 18 2010Particle velocity distribution functions (VDF) in space plasmas often show non Maxwellian suprathermal tails decreasing as a power law of the velocity. Such distributions are well fitted by the so-called Kappa distribution. The presence of such distributions ... More
Covariant kinetic theory of nonlinear plasma waves interactionSep 28 2005A rigorous and most general covariant kinetic formalism is developed to study the nonlinear waves interaction in relativistic Vlasov plasmas. The typical nonlinear plasma reaction is a nonlinear current measured by the nonlinear plasma conductivity, and ... More
Twist decomposition of nonlocal light-ray operators and harmonic tensor functionsNov 04 1999Feb 09 2000For arbitrary spacetime dimension a systematic procedure is carried on to uniquely decompose nonlocal light-cone operators into harmonic operators of well defined twist. Thereby, harmonic tensor polynomials up to rank 2 are introduced. Symmetric tensor ... More
Cable Diagnostics with Power Line Modems for Smart Grid MonitoringAug 03 2018Feb 22 2019Remote monitoring of electrical cable conditions is an essential characteristic of the next-generation smart grid, which features the ability to consistently surveil and control the grid infrastructure. In this paper, we propose a technique that harnesses ... More
Paralinearization of the Muskat equation and application to the Cauchy problemJul 03 2019We paralinearize the Muskat equation to extract an explicit parabolic evolution equation having a compact form. This result is applied to give a simple proof of the local well-posedness of the Cauchy problem for rough initial data, in homogeneous Sobolev ... More
On the gradient of the Green tensor in two-dimensional elastodynamic problems, and related integrals: Distributional approach and regularization, with application to nonuniformly moving sourcesMar 30 2015The two-dimensional elastodynamic Green tensor is the primary building block of solutions of linear elasticity problems dealing with nonuniformly moving rectilinear line sources, such as dislocations. Elastodynamic solutions for these problems involve ... More
Cumulative whistler instability in fast solar winds: Constraints of electron temperature anisotropyApr 12 2019Context. Solar outflows are a considerable source of free energy which accumulates in multiple forms like beaming (or drifting) components and/or temperature anisotropies. However, kinetic anisotropies of plasma particles do not grow indefinitely and ... More
Is the Weibel instability enhanced by the suprathermal populations, or not?Apr 15 2010The kinetic instabilities of the Weibel-type are presently invoked in a large variety of astrophysical scenarios because anisotropic plasma structures are ubiquitous in space. The Weibel instability is driven by a temperature anisotropy which is commonly ... More
Construction of nonlocal light-cone operators with definite twistMay 11 1999Jun 14 1999A systematic procedure is introduced to uniquely decompose nonlocal LC-operators into harmonic operators of well defined geometric twist. The method will be demonstrated for (pseudo)scalar, (axial) vector and skew tensor bilocal quark light-ray operators ... More
Surface waves on a quantum plasma half-spaceNov 15 2007Surface modes are coupled electromagnetic/electrostatic excitations of free electrons near the vacuum-plasma interface and can be excited on a sufficiently dense plasma half-space. They propagate along the surface plane and decay in either sides of the ... More
Decomposition of nonlocal light-cone operators into harmonic operators of definite twistJan 20 1999Jun 14 1999Bilocal light-ray operators which are Lorentz scalars, vectors or antisymmetric tensors, and which appear in various hard scattering QCD processes, are decomposed into operators of definite twist. These operators are harmonic tensor functions and their ... More
Regularized $κ$-distributions with non-diverging momentsJan 31 2018Feb 06 2018For various plasma applications the so-called (non-relativistic) $\kappa$-distribution is widely used to reproduce and interpret the suprathermal particle populations exhibiting a power-law distribution in velocity or energy. Despite its reputation the ... More
Cumulative effect of Weibel-type instabilities in counterstreaming plasmas with non-Maxwellian anisotropiesFeb 05 2008Counterstreaming plasma structures are widely present in laboratory experiments and astrophysical systems, and they are investigated either to prevent unstable modes arising in beam-plasma experiments or to prove the existence of large scale magnetic ... More
Formal Abstraction of Linear Systems via Polyhedral Lyapunov FunctionsMar 29 2012In this paper we present an abstraction algorithm that produces a finite bisimulation quotient for an autonomous discrete-time linear system. We assume that the bisimulation quotient is required to preserve the observations over an arbitrary, finite number ... More
Global existence of weak solutions to dissipative transport equations with nonlocal velocitySep 14 2016Apr 16 2018We consider 1D dissipative transport equations with nonlocal velocity field: \[ \theta_t+u\theta_x+\delta u_{x} \theta+\Lambda^{\gamma}\theta=0, \quad u=\mathcal{N}(\theta), \] where $\mathcal{N}$ is a nonlocal operator given by a Fourier multiplier. ... More
Effects of suprathermal electrons on the proton temperature anisotropy in space plasmas: Electromagnetic ion-cyclotron instabilityFeb 12 2016May 11 2016In collision-poor plasmas from space, e.g., the solar wind and planetary magnetospheres, the kinetic anisotropy of the plasma particles is expected to be regulated by the kinetic instabilities. Driven by an excess of ion (proton) temperature perpendicular ... More
Beaming electromagnetic (or heat-flux) instabilities from the interplay with the electron temperature anisotropiesJul 13 2018In space plasmas kinetic instabilities are driven by the beaming (drifting) components and/or the temperature anisotropy of charged particles. The heat-flux instabilities are known in the literature as electromagnetic modes destabilized by the electron ... More
The Interplay of the Solar Wind Core and Suprathermal Electrons: A Quasilinear Approach for Firehose InstabilityJan 31 2019In the solar wind an equipartition of kinetic energy densities can be easily established between thermal and suprathermal electrons and the instability conditions are markedly altered by the interplay of these two populations. The new thresholds derived ... More
Shaping the solar wind temperature anisotropy by the interplay of electron and proton instabilitiesDec 03 2016A variety of nonthermal characteristics like kinetic, e.g., temperature, anisotropies and suprathermal populations (enhancing the high energy tails of the velocity distributions) are revealed by the in-situ observations in the solar wind indicating quasistationary ... More
Firehose constraints for the solar wind suprathermal electronsApr 19 2016The indefinite increase of temperature predicted by the solar wind expansion in the direction parallel to the interplanetary magnetic field is already notorious for not being confirmed by the observations. In hot and dilute plasmas from space particle-particle ... More
Quasilinear approach of the cumulative whistler instability in fast solar winds: Constraints of electron temperature anisotropyApr 12 2019May 27 2019Context. Solar outflows are a considerable source of free energy which accumulates in multiple forms like beaming (or drifting) components and/or temperature anisotropies. However, kinetic anisotropies of plasma particles do not grow indefinitely and ... More
Constraints for the aperiodic O-mode streaming instabilityNov 06 2014Dec 21 2014In plasmas where the thermal energy density exceeds the magnetic energy density ($\beta_\parallel > 1$), the aperiodic ordinary mode (O-mode) instability is driven by an excess of parallel temperature $A = T_\perp /T_\parallel < 1$ (where $\parallel$ ... More
The Electron Firehose and Ordinary-Mode Instabilities in Space PlasmasJul 02 2013The selfgenerated wave fluctuations are particularly interesting in the solar wind and magnetospheric plasmas, where Coulomb collisions are rare and cannot explain the observed states of quasi-equilibrium. Linear theory predicts that the firehose and ... More
Modeling space plasma dynamics with anisotropic Kappa distributionsApr 02 2012Space plasmas are collisionpoor and kinetic effects prevail leading to wave fluctuations, which transfer the energy to small scales: wave-particle interactions replace collisions and enhance dispersive effects heating particles and producing suprathermal ... More
On Dislocations in a Special Class of Generalized ElasticityApr 12 2005In this paper we consider and compare special classes of static theories of gradient elasticity, nonlocal elasticity, gradient micropolar elasticity and nonlocal micropolar elasticity with only one gradient coefficient. Equilibrium equations are discussed. ... More
Search for relic neutralinos with MilagroMay 05 2003The neutralino, the lightest stable supersymmetric particle, is a strong theoretical candidate for the missing astronomical "dark matter". Depending on their annihilation cross section, relic neutralinos from early formation of the Universe trapped in ... More
The fundamentals of non-singular dislocations in the theory of gradient elasticity: dislocation loops and straight dislocationsSep 10 2012The fundamental problem of non-singular dislocations in the framework of the theory of gradient elasticity is presented in this work. Gradient elasticity of Helmholtz type and bi-Helmholtz type are used. A general theory of non-singular dislocations is ... More
Peach-Koehler forces within the theory of nonlocal elasticityJan 29 2005We consider dislocations in the framework of Eringen's nonlocal elasticity. The fundamental field equations of nonlocal elasticity are presented. Using these equations, the nonlocal force stresses of a straight screw and a straight edge dislocation are ... More
Twist disclination in the field theory of elastoplasticityApr 23 2003Sep 30 2003In this paper we study the twist disclination within the elastoplastic defect theory. Using the stress function method, we found exact analytical solutions for all characteristic fields of a straight twist disclination in an infinitely extended linear ... More
On gradient field theories: gradient magnetostatics and gradient elasticityJun 30 2014In this work the fundamentals of gradient field theories are presented and reviewed. In particular, the theories of gradient magnetostatics and gradient elasticity are investigated and compared. For gradient magnetostatics, non-singular expressions for ... More
Screw dislocations in the field theory of elastoplasticityMar 04 2002Sep 30 2002A (microscopic) static elastoplastic field theory of dislocations with moment and force stresses is considered. The relationship between the moment stress and the Nye tensor is used for the dislocation Lagrangian. We discuss the stress field of an infinitely ... More
Oscillations in two-person avoidance controlOct 12 2016Oct 31 2016Social interaction dynamics are a special type of group interactions that play a large part in our everyday lives. They dictate how and with whom a certain individual will interact. One of such interactions can be termed "avoidance control". This everyday ... More
Global existence for the critical dissipative surface quasi-geostrophic equationSep 30 2012Apr 23 2014In this article, we study the critical dissipative surface quasi-geostrophic equation (SQG) in $ \mathbb{R}^2$. Motivated by the study of the homogeneous statistical solutions of this equation, we show that for any large initial data $\theta_{0}$ liying ... More
On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusionMar 16 2016Oct 01 2017We study a 1D transport equation with nonlocal velocity with subcritical or supercritical dissipation. For all data in the weighted Sobolev space $H^{k}(w_{\lambda,\kappa}) \cap L^{\infty},$ with $k=\max(0,3/2-\alpha)$ and $w_{\lambda, \kappa}$ is a given ... More
Values of pairs involving one quadratic and one linear form at S-integral pointsJul 14 2013Mar 17 2016We prove the existence of S-integral solutions of simultaneous diophantine inequalities for pairs (Q,L) involving one quadratic form and one linear form satisfying some arithmetico-geometric conditions. The proof uses strong approximation in algebraic ... More
A screw dislocation in a functionally graded material using the translation gauge theory of dislocationsFeb 18 2011The aim of this paper is to provide new results and insights for a screw dislocation in functionally graded media within the gauge theory of dislocations. We present the equations of motion for dislocations in inhomogeneous media. We specify the equations ... More
On the Higgs mechanism and stress functions in the translational gauge theory of dislocationsMar 05 2009In this letter we discuss the Higgs mechanism in the linear and static translational gauge theory of dislocations. We investigate the role of the Nambu-Goldstone field and the Proca field in the dislocation gauge theory. In addition, we give the constitutive ... More
On retardation, radiation and Liénard-Wiechert type potentials in electrodynamics and elastodynamicsMay 30 2013The aim of this paper is to investigate the fundamental problems of retardation and radiation caused by non-uniformly moving point sources using the theories of electrodynamics and elastodynamics. This paper investigates and compares the retarded electromagnetic ... More
Non-singular dislocation loops in gradient elasticityApr 04 2012Jan 21 2014Using gradient elasticity, we give in this Letter the non-singular fields produced by arbitrary dislocation loops in isotropic media. We present the `modified' Mura, Peach-Koehler and Burgers formulae in the framework of gradient elasticity theory.
The gauge theory of dislocations: a nonuniformly moving screw dislocationMar 01 2010Jul 23 2010We investigate the nonuniform motion of a straight screw dislocation in infinite media in the framework of the translational gauge theory of dislocations. The equations of motion are derived for an arbitrary moving screw dislocation. The fields of the ... More
Dislocations in the Field Theory of ElastoplasticityOct 31 2003By means of linear theory of elastoplasticity, solutions are given for screw and edge dislocations situated in an isotropic solid. The force stresses, strain fields, displacements, distortions, dislocation densities and moment stresses are calculated. ... More
Wandzura-Wilczek-type relations of $ρ$-meson wave functionsFeb 22 2001Apr 24 2001We give the geometric Wandzura-Wilczek-type relations between the meson wave functions of dynamical twist by means of the meson wave functions of geometric twist. We discuss the difference between geometric and dynamical Wandzura-Wilczek-type relations. ... More
On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusionMar 16 2016Apr 11 2016We study a 1D transport equation with nonlocal velocity with subcritical or supercritical dissipation. For all data in the weighted Sobolev space $H^{k}(w_{\lambda,\kappa}) \cap L^{\infty},$ with $k=\max(0,3/2-\alpha)$ and $w_{\lambda, \kappa}$ is a given ... More
Dislocation Field Theory in 2D: Application to GrapheneOct 14 2015A two-dimensional (2D) dislocation continuum theory is being introduced. The present theory adds elastic rotation, dislocation density, and background stress to the classical energy density of elasticity. This theory contains four material moduli. Two ... More
Global and local existence for the dissipative critical SQG equation with small oscillationsAug 04 2013Jun 03 2015This article is devoted to the study of the critical dissipative surface quasi-geostrophic $(SQG)$ equation in $\mathbb{R}^2$. For any initial data $\theta_{0}$ belonging to the space $\Lambda^{s} ( H^{s}_{uloc}(\mathbb{R}^2)) \cap L^\infty(\mathbb{R}^2)$, ... More
Dislocations and cracks in generalized continuaJan 03 2018Mar 07 2018Dislocations play a key role in the understanding of many phenomena in solid state physics, materials science, crystallography and engineering. Dislocations are line defects producing distortions and self-stresses in an otherwise perfect crystal lattice. ... More
A Chip-Firing Game on the Product of Two Graphs and the Tropical Picard GroupSep 11 2015May 29 2017In his preprint https://arxiv.org/abs/1308.3813, Cartwright introduced the notion of a weak tropical complex in order to generalize the concepts of divisors and the Picard group on graphs from Baker and Norine's paper Riemann-Roch and Abel-Jacobi Theory ... More
Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisationFeb 26 2015Jan 26 2016A method is developed for analysing asymptotic behaviour of terms involving an arbitrary integer order powers of L p functions by means of H-measures. It is applied to the small amplitude homogenisation problem for a stationary diffusion equation, in ... More
Oscillations in two-person avoidance controlOct 12 2016Social interaction dynamics are a special type of group interactions that play a large part in our everyday lives. They dictate how and with whom a certain individual will interact. One of such interactions can be termed "avoidance control". This everyday ... More
Irreducible decomposition of strain gradient tensor in isotropic strain gradient elasticityApr 25 2016In isotropic strain gradient elasticity, we decompose the strain gradient tensor into its irreducible pieces under the n-dimensional orthogonal group O(n). Using the Young tableau method for traceless tensors, four irreducible pieces (n>2), which are ... More
A nonsingular solution of the edge dislocation in the gauge theory of dislocationsAug 19 2002Jan 28 2003A (linear) nonsingular solution for the edge dislocation in the translational gauge theory of defects is presented. The stress function method is used and a modified stress function is obtained. All field quantities are globally defined and the solution ... More
Dislocation theory as a 3-dimensional translation gauge theoryJun 19 2000We consider the static elastoplastic theory of dislocations in an elastoplastic material. We use a Yang-Mills type Lagrangian (the teleparallel equivalent of Hilbert-Einstein Lagrangian) and some Lagrangians with anisotropic constitutive laws. The translational ... More
On the correspondence between a screw dislocation in gradient elasticity and a regularized vortexMay 28 2004Aug 17 2004We show the correspondence between a screw dislocation in gradient elasticity and a regularized vortex. The effective Burgers vector, nonsingular distortion and stress fields of a screw dislocation and the effective circulation, smoothed velocity and ... More
Stability of Observations of Partial Differential Equations under Uncertain PerturbationsJan 30 2015We analyse stability of observability estimates for solutions to wave and Scr\" odinger equations subjected to additive perturbations. The paper generalises the recent averaged observability/control result by allowing for systems consisting of operators ... More
On the density of S-adic integers near some projective G-varietiesApr 24 2019We provide some general conditions which ensure that a system of inequalities involving homogeneous polynomials with coefficients in a S-adic field has nontrivial S-integral solutions. The proofs are based on the strong approximation property for Zariski-dense ... More
A non-singular continuum theory of point defects using gradient elasticity of bi-Helmholtz typeMar 07 2019In this paper, we develop a non-singular continuum theory of point defects based on a second strain gradient elasticity theory, the so-called gradient elasticity of bi-Helmholtz type. Such a generalized continuum theory possesses a weak nonlocal character ... More
On the non-uniform motion of dislocations: The retarded elastic fields, the retarded dislocation tensor potentials and the Liénard-Wiechert tensor potentialsOct 11 2012The purpose of this paper is the fundamental theory of the non-uniform motion of dislocations in two and three space-dimensions. We investigate the non-uniform motion of an arbitrary distribution of dislocations, a dislocation loop and straight dislocations ... More
The elastodynamic Liénard-Wiechert potentials and elastic fields of non-uniformly moving point and line forcesMay 23 2012The purpose of this paper is to investigate the fundamental problem of the non-uniform subsonic motion of a point force and line forces in an unbounded, homogeneous, isotropic medium in analogy to the electromagnetic Li\'enard-Wiechert potentials. The ... More
An elastoplastic theory of dislocations as a physical field theory with torsionMay 14 2001Feb 25 2002We consider a static theory of dislocations with moment stress in an anisotropic or isotropic elastoplastical material as a T(3)-gauge theory. We obtain Yang-Mills type field equations which express the force and the moment equilibrium. Additionally, ... More
Non-singular dislocation continuum theories: Strain gradient elasticity versus Peierls-Nabarro modelAug 17 2017Feb 15 2018Non-singular dislocation continuum theories are studied. A comparison between Peierls-Nabarro dislocations and straight dislocations in strain gradient elasticity is given. The non-singular displacement fields, non-singular stresses, plastic distortions ... More
Group Theoretical Analysis of Light-Cone Dominated Hadronic Processes and Twist Decomposition of Nonlocal Operators in Quantum ChromodynamicsAug 05 2003In the framework of nonlocal light-cone expansion of two current operators we construct bilocal as well as trilocal QCD light-cone operators with definite geometric twist. We are able to decompose uniquely the appearing QCD light-cone operators into all ... More
$ρ$-Meson wave functions from nonlocal light-cone operators with definite twistSep 27 2000Feb 20 2001We introduce chiral-even and chiral-odd meson wave functions as vacuum-to-meson matrix elements of bilocal quark operators with well-defined (geometric) twist. Thereby, we achieve a Lorentz invariant classification of these distributions which differ ... More
The electromagnetic fields and the radiation of a spatio-temporally varying electric current loopApr 12 2013The electric and magnetic fields of a spatio-temporally varying electric current loop are calculated using the Jefimenko equations. The radiation and the nonradiation parts of the electromagnetic fields are derived in the framework of Maxwell's theory ... More
On the fundamentals of the three-dimensional translation gauge theory of dislocationsMar 18 2010We propose a dynamic version of the three-dimensional translation gauge theory of dislocations. In our approach, we use the notions of the dislocation density and dislocation current tensors as translational field strengths and the corresponding response ... More
The gauge theory of dislocations: a uniformly moving screw dislocationApr 29 2009Nov 24 2009In this paper we present the equations of motion of a moving screw dislocation in the framework of the translation gauge theory of dislocations. In the gauge field theoretical formulation, a dislocation is a massive gauge field. We calculate the gauge ... More
Wedge disclination in the field theory of elastoplasticityMar 25 2003Apr 25 2003In this paper we study the wedge disclination within the elastoplastic defect theory. Using the stress function method we found exact analytical solutions for all characteristic fields of a straight wedge disclination in a cylinder. The elastic stress, ... More
Micromechanics and dislocation theory in anisotropic elasticityJul 25 2016Aug 01 2016In this work, dislocation master-equations valid for anisotropic materials are derived in terms of kernel functions using the framework of micromechanics. The second derivative of the anisotropic Green tensor is calculated in the sense of generalized ... More
A Chip-Firing Game on the Product of Two Graphs and the Tropical Picard GroupSep 11 2015Aug 24 2016In his preprint https://arxiv.org/abs/1308.3813, Cartwright introduced the notion of a weak tropical complex in order to generalize the concepts of divisors and the Picard group on graphs from Baker and Norine's paper Riemann-Roch and Abel-Jacobi Theory ... More
Multipath Metropolis Simulation of Classical Heisenberg ModelMay 29 2013Feb 13 2014Processor cores are becoming less expensive and thus more accessible. To utilize increasing number of available computing elements, good parallel algorithms are necessary. In light of these changes in contemporary computing, multipath Metropolis simulation ... More
The Electron Temperature and Anisotropy in the Solar Wind. I. Comparison of the Core and Halo PopulationsFeb 26 2016Estimating the temperature of the solar wind particles and their anisotropies is particularly important for understanding the origin of these deviations from thermal equilibrium as well as their effects. In the absence of energetic events the velocity ... More
Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma modelOct 03 2016We have performed a complete study of self-dual configurations in a $CPT$-odd and Lorentz-violating gauged $O(3)$ nonlinear sigma model. We have consistently implemented the Bogomol'nyi-Prasad-Sommerfield (BPS) formalism and obtained the correspondent ... More
Quasilinear Approach of the Whistler Heat-Flux Instability in the Solar WindMar 19 2019The hot beaming (or strahl) electrons responsible for the main electron heat-flux in the solar wind are believed to be self-regulated by the electromagnetic beaming instabilities, also known as the heat-flux instabilities. Here we report the first quasi-linear ... More
Firehose instabilities triggered by the solar wind suprathermal electronsNov 15 2018In collision-poor plasmas from space, e.g., solar wind, terrestrial magnetospheres, kinetic instabilities are expected to play a major role in constraining the temperature anisotropy of plasma particles, but a definitive answer can be given only after ... More
Quantum and Classical Chirps in an Anharmonic OscillatorJul 27 2011Dec 07 2011We measure the state dynamics of a tunable anharmonic quantum system, the Josephson phase circuit, under the excitation of a frequency-chirped drive. At small anharmonicity, the state evolves like a wavepacket - a characteristic response in classical ... More
On the entropy of plasmas described with regularized $κ$-distributionsOct 30 2018In classical thermodynamics the entropy is an extensive quantity, i.e.\ the sum of the entropies of two subsystems in equilibrium with each other is equal to the entropy of the full system consisting of the two subsystems. The extensitivity of entropy ... More
System description and first light-curves of HAT, an autonomous observatory for variability searchMay 31 2002Having been operational at Kitt Peak for more than a year, the prototype of the Hungarian Automated Telescope (HAT-1) has been used for all-sky variability search of the northern hemisphere. The small autonomous observatory is recording brightness of ... More
A recursive estimation approach to distributed identification of large-scale multi-input-single-output FIR systemsJul 21 2018The problem of identifying single modules in multiple-input-single-output (MISO) systems is considered. A novel approach to distributed identification of MISO finite impulse response systems is presented. The distributed identification is discerned by ... More
Solar Wind Electron Strahls Associated with a High-Latitude CME: \emph{Ulysses} ObservationsMay 22 2014Counterstreaming beams of electrons are ubiquitous in coronal mass ejections (CMEs) - although their existence is not unanimously accepted as a necessary and/or sufficient signature of these events. We continue the investigations of a high-latitude CME ... More
Laser source for dimensional metrology: investigation of an iodine stabilized system based on narrow linewidth 633 nm DBR diodeMay 02 2019We demonstrated that an iodine stabilized Distributed Bragg Reflector (DBR) diode based laser system lasing at a wavelength in close proximity to $\lambda = 633\,$nm could be used as an alternative laser source to the He-Ne lasers in both scientific and ... More
Computational Efficiency of Frequency-- and Time--Domain Calculations of Extreme Mass--Ratio Binaries: Equatorial OrbitsApr 07 2008Gravitational waveforms and fluxes from extreme mass--ratio inspirals can be computed using time--domain methods with accuracy that is fast approaching that of frequency--domain methods. We study in detail the computational efficiency of these methods ... More
Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamicsAug 21 2014Oct 23 2014We have performed a complete study of BPS vortex solutions in the Abelian sector of the standard model extension (SME). Specifically, we have coupled the SME electromagnetism with a Higgs field which is supplemented with a Lorentz-violating CPT-even term. ... More
Eshelbian mechanics of novel materials: QuasicrystalsNov 07 2016In this work, the so-called Eshelbian or configurational mechanics of quasicrystals is presented. Quasicrystals are considered as a prototype of novel materials. Material balance laws for quasicrystalline materials with dislocations are derived in the ... More
A Selection Theorem for Banach Bundles and ApplicationsMar 20 2016Apr 17 2016It is shown that certain lower semi-continuous maps from a paracompact space to the family of closed subsets of the bundle space of a Banach bundle admit continuous selections. This generalization of the theorem of Douady, dal Soglio-Herault, and Hofmann ... More
Properties of the Space of Sections of Some Banach BundlesFeb 06 2018One shows for Banach bundles in a certain class that having a second countable locally compact Hausdorff base space and separable fibers implies the separability of the Banach space of the all sections that vanish at infinity. In the reverse direction, ... More
Existence of Small Separators Depends on Geometry for Geometric Inhomogeneous Random GraphsNov 10 2017We show that Geometric Inhomogeneous Random Graphs (GIRGs) with power law weights may either have or not have separators of linear size, depending on the underlying geometry. While it was known that for Euclidean geometry it is possible to split the giant ... More
On the velocity averaging for equations with optimal heterogeneous rough coefficientsOct 16 2013Feb 01 2014Assume that $(u_n)$ is a sequence of solutions to heterogeneous equations with rough coefficients and fractional derivatives, weakly converging to zero in ${\rm L}^p(\R^{d+m})$, with $p>1$. We prove that the sequence of averaged quantities $(\int \rho(\my) ... More
Parton distribution functions from nonlocal light-cone operators with definite twistSep 27 2000Dec 29 2000We introduce the chiral-even and chiral-odd quark distributions as forward matrix elements of related bilocal quark operators with well-defined (geometric) twist. Thereby, we achieve a Lorentz invariant classification of these distributions which differ ... More
Quotient Spaces Determined by Algebras of Continuous FunctionsNov 20 2008we prove that if $X$ is a locally compact $\sigma$-compact space then on its quotient, $\gamma(X)$ say, determined by the algebra of all real valued bounded continuous functions on $X$, the quotient topology and the completely regular topology defined ... More
Atomistically enabled nonsingular anisotropic elastic representation of near-core dislocation stress fields in $α$-ironMay 21 2015The stress fields of dislocations predicted by classical elasticity are known to be unrealistically large approaching the dislocation core, due to the singular nature of the theory. While in many cases this is remedied with the approximation of an effective ... More
Some minimisation algorithms in arithmetic invariant theoryMar 06 2017We extend the work of Cremona, Fisher and Stoll on minimising genus one curves of degrees 2,3,4,5, to some of the other representations associated to genus one curves, as studied by Bhargava and Ho. Specifically we describe algorithms for minimising bidegree ... More
Scale and curvature effects in principal geodesic analysisOct 05 2016Oct 06 2016There is growing interest in using the close connection between differential geometry and statistics to model smooth manifold-valued data. In particular, much work has been done recently to generalize principal component analysis (PCA), the method of ... More
Coarsening in one dimension: invariant and asymptotic statesMay 29 2015Dec 02 2015We study a coarsening process of one-dimensional cell complexes. We show that if cell boundaries move with velocities proportional to the difference in size of neighboring cells, then the average cell size grows at a prescribed exponential rate and the ... More
Piecewise Empirical LikelihoodApr 21 2016Non-parametric methods avoid the problem of having to specify a particular data generating mechanism, but can be computationally intensive, reducing their accessibility for large data problems. Empirical likelihood, a non-parametric approach to the likelihood ... More
Capture into resonance and phase space dynamics in optical centrifugeFeb 08 2016The process of capture of a molecular enesemble into rotational resonance in the optical centrifuge is investigated. The adiabaticity and phase space incompressibility are used to find the resonant capture probability in terms of two dimensionless parameters ... More
Twist decomposition of nonlocal light-cone operators II: General tensors of 2nd rankMar 10 2000A group theoretical procedure, introduced earlier (hep-th/9901090), to decompose bilocal light-ray operators into (harmonic) operators of definite twist is applied to the case of arbitrary 2nd rank tensors. As a generic example the bilocal gluon operator ... More
The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representationDec 10 2013A representation of the solid angle and the Burgers formula as line integral is derived in the framework of the theory of gradient elasticity of Helmholtz type. The gradient version of the Eshelby-deWit representation of the Burgers formula of a closed ... More
The elastodynamic model of wave-telegraph type for quasicrystalsNov 20 2013In this work we propose the elastodynamic model of wave-telegraph type for the description of dynamics of quasicrystals. Phonons are represented by waves, and phasons by waves damped in time and propagating with finite velocity. Therefore, the equations ... More