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Recurrent CME-like Eruptions in Emerging Flux Regions. II. Scaling of Energy and Collision of Successive EruptionsApr 08 2019Apr 09 2019We present results of three-dimensional MHD simulations of recurrent eruptions in emerging flux regions. The initial numerical setup is the same with the work by Syntelis et al. 2017 (hereafter, Paper I). Here, we perform a parametric study on the magnetic ... More

The emergence of magnetic flux and its role on the onset of solar dynamic eventsApr 12 2019A plethora of solar dynamic events, such as the formation of active regions, the emission of jets and the occurrence of eruptions is often associated to the emergence of magnetic flux from the interior of the Sun to the surface and above. Here, we present ... More

Eruption of magnetic flux ropes during flux emergenceNov 07 2008Aims: We investigate the formation of flux ropes in a flux emergence region and their rise into the outer atmosphere of the Sun. Methods: We perform 3D numerical experiments solving the time-dependent and resistive MHD equations. Results: A sub-photospheric ... More

Clusters of small eruptive flares produced by magnetic reconnection in the sunMay 25 2014We report on the formation of small solar flares produced by patchy magnetic reconnection between interacting magnetic loops. A three-dimensional (3D) magnetohydrodynamic (MHD) numerical experiment was performed, where a uniform magnetic flux sheet was ... More

A flux emergence model for solar eruptionsJan 10 2008We have simulated the 3D emergence and interaction of two twisted flux tubes, which rise from the interior into the outer atmosphere of the Sun. We present evidence for the multiple formation and eruption of flux ropes inside the emerging flux systems ... More

Flux emergence and coronal eruptionMar 11 2010Our aim is to study the photospheric flux distribution of a twisted flux tube that emerges from the solar interior. We also report on the eruption of a new flux rope when the emerging tube rises into a pre-existing magnetic field in the corona. To study ... More

Recurrent explosive eruptions and the sigmoid-to-arcade transformation in the sun driven by dynamical magnetic flux emergenceMay 25 2014We report on three-dimensional (3D) MHD simulations of recurrent mini CME-like eruptions in a small active region (AR), which is formed by the dynamical emergence of a twisted (not kink unstable) flux tube from the solar interior. The eruptions are developed ... More

On the Saturation of Astrophysical Dynamos: Numerical Experiments with the No-cosines flowSep 08 2004In the context of astrophysical dynamos we illustrate that the no-cosines flow, with zero mean helicity, can drive fast dynamo action and study the dynamo's mode of operation during both the linear and non-linear saturation regime: It turns out that in ... More

Recurrent CME-like eruptions in emerging flux regions. I. On the mechanism of eruptionsNov 28 2017We report on three-dimensional (3D) Magnetohydrodynamic (MHD) simulations of recurrent eruptions in emerging flux regions. We find that reconnection of sheared fieldlines, along the polarity inversion line of an emerging bipolar region, leads to the formation ... More

3D MHD Flux Emergence Experiments: Idealized models and coronal interactionsMar 18 2011This paper reviews some of the many 3D numerical experiments of the emergence of magnetic fields from the solar interior and the subsequent interaction with the pre-existing coronal magnetic field. The models described here are idealized, in the sense ... More

On the nature of recurrent 3D CME-like eruptions. II. Scaling of energy and collision of successive eruptionsApr 08 2019We present results of three-dimensional MHD simulations of recurrent eruptions in emerging flux regions. The initial numerical setup is the same with the work by Syntelis et al. 2017 (hereafter, Paper I). Here, we perform a parametric study on the magnetic ... More

Successful and Failed Flux Tube Emergence in the Solar InteriorFeb 21 2019We report on our three-dimensional (3D) magnetohydrodynamic (MHD) simulations of cylindrical weakly twisted flux tubes emerging from 18 Mm below the photosphere. We perform a parametric study, by varying the initial magnetic field strength ($B_0$), radius ... More

Dynamo action in turbulent flowsJun 03 2003Sep 14 2003We present results from numerical simulations of nonlinear MHD dynamo action produced by three-dimensional flows that become turbulent for high values of the fluid Reynolds number. The magnitude of the forcing function driving the flow is allowed to evolve ... More

The effect of the relative orientation between the coronal field and new emerging flux: I Global PropertiesMay 08 2007The emergence of magnetic flux from the convection zone into the corona is an important process for the dynamical evolution of the coronal magnetic field. In this paper we extend our previous numerical investigations, by looking at the process of flux ... More

Sunspot rotation. I. A consequence of flux emergenceAug 10 2015Context. Solar eruptions and high flare activity often accompany the rapid rotation of sunspots. The study of sunspot rotation and the mechanisms driving this motion are therefore key to our understanding of how the solar atmosphere attains the conditions ... More

Helical Blowout Jets in the Sun: Untwisting and Propagation of WavesDec 16 2014We report on numerical experiment of the recurrent onset of helical "blowout" jets in an emerging flux region (EFR). We find that these jets are running with velocities of $\sim 100-250\,\mathrm{kms^{-1}}$ and they transfer a vast amount of heavy plasma ... More

A three-dimensional study of reconnection, current sheets and jets resulting from magnetic flux emergence in the SunOct 03 2004Jan 03 2005We present the results of a set of three-dimensional numerical simulations of magnetic flux emergence from below the photosphere into the corona that include a uniform and horizontal coronal magnetic field mimicking a pre-existing large-scale coronal ... More

Emergence of non-twisted magnetic fields in the Sun: Jets and atmospheric responseSep 09 2015Aims. We study the emergence of a non-twisted flux tube from the solar interior into the solar atmosphere. We investigate whether the length of the buoyant part of the flux tube (i.e. {\lambda}) affects the emergence of the field and the dynamics of the ... More

Diffuse-field coherence of sensors with arbitrary directional responsesAug 27 2016Knowledge of the diffuse-field coherence between array sensors is a basic assumption for a wide range of array processing applications. Explicit relations previously existed only for omnidirectional and first-order directional sensors, or a restricted ... More

Acoustic intensity, energy-density and diffuseness estimation in a directionally-constrained regionSep 12 2016Sep 13 2016This work presents a method for estimation of the acoustic intensity, the energy density and the associated sound field diffuseness around the origin, when the sound field is weighted with a spatial filter. The method permits energetic DOA estimation ... More

Numerical Simulations of Kinematic Dynamo ActionApr 12 2002May 02 2002Numerical simulations of kinematic dynamo action in steady and 3-d ABC flows are presented with special focus on growth rates and multiple periods of the prescribed velocity field. It is found that the difference in growth rate is due to differences in ... More

Multichannel Sound Event Detection Using 3D Convolutional Neural Networks for Learning Inter-channel FeaturesJan 29 2018In this paper, we propose a stacked convolutional and recurrent neural network (CRNN) with a 3D convolutional neural network (CNN) in the first layer for the multichannel sound event detection (SED) task. The 3D CNN enables the network to simultaneously ... More

Direction of arrival estimation for multiple sound sources using convolutional recurrent neural networkOct 27 2017Aug 05 2018This paper proposes a deep neural network for estimating the directions of arrival (DOA) of multiple sound sources. The proposed stacked convolutional and recurrent neural network (DOAnet) generates a spatial pseudo-spectrum (SPS) along with the DOA estimates ... More

Solar Coronal Jets: Observations, Theory, and ModelingJul 07 2016Coronal jets represent important manifestations of ubiquitous solar transients, which may be the source of significant mass and energy input to the upper solar atmosphere and the solar wind. While the energy involved in a jet-like event is smaller than ... More

Sound Event Localization and Detection of Overlapping Sources Using Convolutional Recurrent Neural NetworksJun 30 2018Dec 17 2018In this paper, we propose a convolutional recurrent neural network for joint sound event localization and detection (SELD) of multiple overlapping sound events in three-dimensional (3D) space. The proposed network takes a sequence of consecutive spectrogram ... More

Distribution of Electric Currents in Solar Active RegionsJan 13 2014There has been a long-lasting debate on the question of whether or not electric currents in solar active regions are neutralized. That is, whether or not the main (or direct) coronal currents connecting the active region polarities are surrounded by shielding ... More

Double resonant processes in $χ^{(2)}$ nonlinear periodic mediaAug 07 2000In a one-dimensional periodic nonlinear $\chi^{(2)}$ medium, by choosing a proper material and geometrical parameters of the structure, it is possible to obtain two matching conditions for simultaneous generation of second and third harmonics. This leads ... More

Neutron Diffraction and Optics of a Noncentrosymmetric Crystal. New Feasibility of a Search for Neutron EDMApr 25 2005May 03 2005Recently strong electric fields (up to 10^9 V/cm) have been discovered, which affect the neutrons moving in noncentrosymmetric crystals. Such fields allow new polarization phenomena in neutron diffraction and optics and provide, for instance, a new feasibility ... More

A remark on the Dixmier ConjectureNov 30 2018The Dixmier Conjecture says that every endomorphism of the (first) Weyl algebra $A_1$ (over a field of characteristic zero) is an automorphism, i.e., if $PQ-QP=1$ for some $P, Q \in A_1$ then $A_1 = K \langle P, Q \rangle$. The Weyl algebra $A_1$ is a ... More

Quantum dynamics of nuclear spins and spin relaxation in organic semiconductorsJul 06 2016We investigate the role of the nuclear spin quantum dynamics in hyperfine-induced spin relaxation of hopping carriers in organic semiconductors. The fast hopping regime with a small carrier spin precession during a waiting time between hops is typical ... More

Two-dimensional model of intrinsic magnetic flux losses in helical flux compression generatorsSep 25 2012Helical Flux Compression Generators (HFCG) are used for generation of mega-amper current and high magnetic fields. We propose the two dimensional HFCG filament model based on the new description of the stator and armature contact point. The model developed ... More

Realistic model of correlated disorder and Anderson localizationApr 01 1999A conducting 1D chain or 2D film inside (or on the surface of) an insulator is considered. Impurities displace the charges inside the insulator. This results in a long-range fluctuating electric field acting on the conducting line (plane). This field ... More

Morita invariance of the filter dimension and of the inequality of BernsteinOct 29 2006It is proved that the filter dimenion is Morita invariant. A direct consequence of this fact is the Morita invariance of the inequality of Bernstein: if an algebra $A$ is Morita equivalent to the ring $\CD (X)$ of differential operators on a smooth irreducible ... More

On description of the correlation between multiplicities in windows separated in azimuth and rapidityMay 03 2013Mar 06 2014The forward-backward (FB) multiplicity correlations in two windows separated in rapidity and azimuth are analyzed in the framework of the model with independent identical emitters (strings). Along with the short-range contribution, originating from the ... More

Enhanced violation of the Lorentz invariance and Einstein's equivalence principle in nuclei and atomsMar 18 2016Jun 12 2016Local Lorentz Invariance violating (LLIV) and Einstein equivalence principle violating (EEPV) effects in atomic experiments are discussed. The EEPV effects are strongly enhanced in the narrow 7.8 eV transition in 229Th nucleus. Nuclear LLIV momentum tensors ... More

Enhanced effects of the Lorentz invariance and Einstein equivalence principle violation in 229Th nuclear transitionNov 16 2015The Lorentz invariance and Einstein equivalence principle violating effects in the narrow 7.8 eV transition in 229Th nucleus may be 100 000 times larger than in atoms. This transition may be investigated using high precision laser spectroscopy methods, ... More

Exchange interaction radically changes behavior of a quantum particle in a classically forbidden region: simple modelSep 10 2009Exchange interaction strongly influences the long-range behavior of localized electron orbitals and quantum tunneling amplitudes.In the Hartree-Fock approximation the exchange produces a power-law decay instead of the usual exponential decrease at large ... More

Exchange interaction and correlations radically change behaviour of a quantum particle in a classically forbidden regionSep 17 2008Dec 30 2008Exchange interaction strongly influences the long-range behaviour of localised electron orbitals and quantum tunneling amplitudes. It violates the oscillation theorem (creates extra nodes) and produces a power-law decay instead of the usual exponential ... More

Electric dipole moments of actinide atoms and RaO moleculeNov 13 2007Nov 14 2007We have calculated the atomic electric dipole moments (EDMs) induced in 229Pa and 225Ac by their respective nuclear Schiff moments S. The results are d(229Pa)= - 9.5 10^{-17} [S/(e fm)] e cm= - 1.1 10^{-20} \eta e cm; d(225Ac})=- 8.6 10^{-17} [S/(e fm)] ... More

Tunneling into black hole, escape from black hole, reflection from horizon and pair creationAug 05 2004Within classical general relativity, a particle cannot reach the horizon of a black hole during a finite time, in the reference frame of an external observer; a particle inside cannot escape from a black hole; and the horizon does not produce any reflection. ... More

Variation of fundamental constants: theory and observationsMay 25 2007Jun 21 2007Review of recent works devoted to the variation of the fundamental constants is presented including atomic clocks, quasar absorption spectra, and Oklo natural nuclear reactor data. Assuming linear variation with time we can compare different results. ... More

Enhanced effect of temporal variation of the fine structure constant in diatomic moleculesJan 06 2006Feb 10 2006We show that the relative effect of variation of the fine structure constant in microwave transitions between very close and narrow rotational-hyperfine levels may be enhanced 2-3 orders of magnitude in diatomic molecules like LaS, LaO, LuS, YbF, etc. ... More

Realistic model of correlated disorder and Anderson localizationJan 04 1999A conducting 1D line or 2D plane inside (or on the surface of) an insulator is considered.Impurities displace the charges inside the insulator. This results in a long-range fluctuating electric field acting on the conducting line (plane). This field can ... More

On a Leibnitz-type fractional derivativeFeb 13 2012Feb 14 2012The new type of fractional derivative, referred to as \alpha-derivative, is studied. The \alpha-derivative of fractional type obeys Leibnitz rule. Based on the definition of \alpha-derivative the operations of analysis and differential geometry are studied ... More

Remarks about the Zeeman splitting in quantum dots and single atom transistorsNov 25 2003An empirical formula is proposed to calculate the Kondo temperature in quantum point contacts from the Zeeman splitting. A similar formula was used in the point-contact spectroscopy (PCS) method to obtain from the Zeeman splitting of the Kondo peak in ... More

The study of double vector charmonium mesons production at B-factories within light cone formalismDec 10 2007Nov 19 2008In this paper the processes $e^+ e^- \to J/\Psi J/\Psi, J/\Psi \psi', \psi' \psi'$ are considered in the framework of light cone formalism. An important distinction of this approach in comparison to the approaches used in other papers is that relativistic ... More

Predictive powers of chiral perturbation theory in Compton scattering off protonsJul 02 2009Dec 10 2009We study low-energy nucleon Compton scattering in the framework of baryon chiral perturbation theory (B$\chi$PT) with pion, nucleon, and $\Delta$(1232) degrees of freedom, up to and including the next-to-next-to-leading order (NNLO). We include the effects ... More

Attosecond pulse production using resonantly-enhanced high-order harmonicsOct 25 2016We study theoretically the effect of the giant resonance in Xe on the phase difference between the consecutive high order resonantly-enhanced harmonics and calculate the duration of the attosecond pulses produced by these harmonics. For certain conditions ... More

Separately continuous functions on products and its dependence on $\aleph$ coordinatesJan 11 2016It is investigated necessary and sufficient conditions on topological spaces $X=\prod\limits _{s\in S}X_s$ and $Y=\prod\limits _{t\in T}Y_t$ for the dependence of every separately continuous functions $f:X\times Y\to \mathbb R$ on at most $\aleph$ coordinates ... More

The Namioka property of $KC$-functions and Kempisty spacesDec 23 2015A topological space $Y$ is called a Kempisty space if for any Baire space $X$ every function $f:X\times Y\to\mathbb R$, which is quasi-continuous in the first variable and continuous in the second variable has the Namioka property. Properties of compact ... More

Dependence of magnetic cycle parameters on period of rotation in nonlinear solar-type dynamosDec 17 2014May 07 2015Parameters of magnetic activity on the solar type stars depend on the properties of the dynamo processes operating in stellar convection zones. We apply nonlinear mean-field axisymmetric $\alpha^2\Omega$ dynamo models to calculate of the magnetic cycle ... More

Advances in mean-field dynamo theoriesNov 11 2012Jan 29 2013We give a short introduction to the subject and review advances in understanding the basic ingredients of the mean-field dynamo theory. The discussion includes the recent analytic and numerical work in developments for the mean electromotive force of ... More

The shear-induced alpha-effect and long-term variations in solar dynamoDec 17 2007The consequences of the shear-induced alpha effect to the long-term modulation of magnetic activity are examined with the help of the axisymmetric numerical dynamo model that includes the self-consistent description of the angular momentum balance, heat ... More

The alpha-effect and current helicity for fast sheared rotatorsMar 04 2005We explore the alpha-effect and the small-scale current helicity, for the case of weakly compressible magnetically driven turbulence that is subjected to the differential rotation. No restriction is applied to the amplitude of angular velocity, i.e., ... More

Helicity-vorticity turbulent pumping of magnetic fields in solar convection zoneMay 22 2012May 27 2012We study the effect of turbulent drift of a large-scale magnetic field that results from the interaction of helical convective motions and differential rotation in the solar convection zone. The principal direction of the drift corresponds to the direction ... More

The mean electro-motive force, current- and cross-helicity under the influence of rotation, magnetic field and shearJun 12 2006Jan 22 2007The mean electromotive force (MEMF) in a rotating stratified magnetohydrodynamical turbulence is studied.Our study rests on the mean-field magnetohydrodynamics framework and $\tau$ approximation. We compute the effects of the large-scale magnetic fields ... More

Triplet pairing and upper critical field in the mixed state of d-wave superconductorsFeb 22 2007Nov 16 2007We show that an additional triplet component of the order parameter is generated in the vortex phase of the d-wave superconductor. Spatial variations of the triplet component are analyzed for a strong spin-orbit coupling. Corrections to the London equation ... More

Solitary Dust--Acoustic Waves in a Plasma with Two-Temperature Ions and Distributed Grain SizeDec 02 2008The propagation of weakly nonlinear dust--acoustic waves in a dusty plasma containing two ion species with different temperatures is explored. The nonlinear equations describing both the quadratic and cubic plasma nonlinearities are derived. It is shown ... More

CPT groups of higher spin fieldsJul 21 2011Oct 27 2011$CPT$ groups of higher spin fields are defined in the framework of automorphism groups of Clifford algebras associated with the complex representations of the proper orthochronous Lorentz group. Higher spin fields are understood as the fields on the Poincar\'{e} ... More

Spinor Structure and Modulo 8 PeriodicityDec 25 2014Spinor structure is understood as a totality of tensor products of biquaternion algebras, and the each tensor product is associated with an irreducible representation of the Lorentz group. A so-defined algebraic structure allows one to apply modulo 8 ... More

Spinor Structure and Internal SymmetriesSep 04 2014Mar 26 2015Spinor structure and internal symmetries are considered within one theoretical framework based on the generalized spin and abstract Hilbert space. Complex momentum is understood as a generating kernel of the underlying spinor structure. It is shown that ... More

Letters of a Bi-Rationalist IV: Geometry of log flipsJun 02 2002For a birational log Fano contraction, it is conjectured an inequality between the dimension of its exceptional locus and the minimal log discrepancy over the locus. The conjecture follows from the existence of the flip for the contraction and another ... More

Importance of repulsive interactions for the equation of state and other properties of strongly interacting matterNov 13 2014We illustrate the role of repulsive interactions in a hadron-resonance gas at freeze-out and in a gas of quark-gluon bags. Taking into account non-zero size of particles in hadron gas leads to a significant decrease and shift of the net-baryon density ... More

Symmetries of fundamental interactions in quantum phase spaceJun 30 2009Oct 20 2009Quantum operators of coordinates and momentum components of a particle in Minkowski space-time belong to a noncommutative algebra and give rise to a quantum phase space. Under some constraints, in particular, the Lorentz invariance condition, the algebra ... More

Kinematic Control of the Inertiality of ICRS CatalogsDec 22 2005Mar 03 2016We perform a kinematic analysis of the Hipparcos and TRC proper motions of stars by using a linear Ogorodnikov-Milne model. All of the distant (r more than 0.2 kpc) stars of the Hipparcos catalog have been found to rotate around the Galactic y axis with ... More

Linear NMR in the polar phase of $^3$He in aerogelJan 16 2016$^3$He is an example of the system with non-trivial Cooper paring. A few different superfluid phases are known in this system. Recently the new one, the polar phase, have been observed in $^3$He confined in ordered aerogel. As in other phases, a number ... More

Resonant mode interactions in nonlinear latticesJun 14 2001Resonant mode interactions in weakly nonlinear multi-dimensional lattices and related effects are described. We concentrate on formal description of the phenomenon and consider as examples mode interactions and evolution equations for quadratic solitons ... More

A Superdecay of an excited atom placed near ''Left-Handed'' sphereFeb 16 2001Mar 10 2001The influence of a microsphere having a simultaneously negative permittivity and permeability (Left-Handed Sphere) on the decay rate of the allowed and forbidden transitions is considered. It is found, that in contrast to usual (Right-Handed) materials ... More

2MASS Two-Color Interstellar Reddening Lines in the Inner GalaxyFeb 06 2009Feb 08 2009The slopes of interstellar reddening lines in the 2MASS J-H versus H-Ks diagrams for 26 areas in the inner Galaxy (from Vulpecula to Centaurus) are determined. For this aim we use the red-clump giants located inside and behind spiral arms, or behind dense ... More

Supergroup approach to the Hubbard modelFeb 12 2011Based on the revealed hidden supergroup structure, we develop a new approach to the Hubbard model. We reveal a relation of even Hubbard operators to the spinor representation of the generators of the rotation group of four-dimensional spaces. We propose ... More

Strange Star Heating Events as a Model for Giant Flares of Soft Gamma-ray RepeatersJun 13 2001Two giant flares were observed on 5 March 1979 and 27 August 1998 from the soft gamma-ray repeaters SGR 0526-66 and SGR 1900+14, respectively. The striking similarity between these remarkable bursts strongly implies a common nature. We show that the light ... More

Reply to Comment on "Bare quark matter surfaces of strange stars and $e^+e^-$ emission"Nov 12 1998I reply to A. Mitra's comment on my PRL paper "Bare quark matter surfaces of strange stars and $e^+e^-$ emission". I show that his points of criticism are not correct.

Intermittency in Dynamics of Two-Dimensional Vortex-like DefectsApr 29 1999Feb 19 2000We examine high-order dynamical correlations of defects (vortices, disclinations etc) in thin films starting from the Langevin equation for the defect motion. We demonstrate that dynamical correlation functions $F_{2n}$ of vorticity and disclinicity behave ... More

AC losses in superconducting composite strips in a magnetic field in the form of a standing waveDec 26 2005Analytical expressions for the evaluation of AC losses in a superconductor-metal composite strip in a nonuniform AC magnetic field having the form of a standing wave are derived. The considered configuration models superconducting tapes, thin films and ... More

On the Integration Theory of Equations of Nonholonomic MechanicsMar 11 2005The paper deals with the problem of integration of equations of motion in nonholonomic systems. By means of well-known theory of the differential equations with an invariant measure the new integrable systems are discovered. Among them there are the generalization ... More

Microbial genome as a fluctuating system: Distribution and correlation of coding sequence lengthsMay 28 2008The length of coding sequence series in microbial genomes were regarded as a fluctuating system and characterized by the methods of statistical physics. The distribution and the correlatin properties of 50 genomes including bacteria and several archaea ... More

Super reflector and invisible object: analytical investigation of photonic cluster reflectivityJan 23 2011The reflectivity of photonic cluster is important property for nanophotonic applications especially when one needs to hide the cluster or to make it extremely visible. Currently, where are no methods clearly describing how to create the photonic cluster ... More

$T_7$ flavor symmetry scheme for understanding neutrino mass and mixing in 3-3-1 model with neutral leptonsAug 11 2015We construct a new version for the 3-3-1 model based on $T_7$ flavor symmetry where the left-handed leptons under $T_7$ differ from those of our previous work while the $\mathrm{SU}(3)_C \otimes \mathrm{SU}(3)_L \otimes \mathrm{U}(1)_X$ gauge symmetry ... More

HD271791: dynamical versus binary-supernova ejection scenarioFeb 27 2009Mar 24 2009The atmosphere of the extremely high-velocity (530-920 km/s) early B-type star HD271791 is enriched in $\alpha$-process elements, which suggests that this star is a former secondary component of a massive tight binary system and that its surface was polluted ... More

On the age of PSR B1509-58Feb 25 2001Jun 15 2001It is generally accepted that the PSR B1509-58 is associated with the supernova remnant (SNR) MSH 15-52 (G 320.4-01.2). The spin-down age of the pulsar is \simeq 1700 years, while the size and the general appearance of the SNR suggest that this system ... More

Rotating quantum Gaussian packetsSep 26 2015We study two-dimensional quantum Gaussian packets with a fixed value of mean angular momentum. This value is the sum of two independent parts: the `external' momentum related to the motion of the packet center and the `internal' momentum due to quantum ... More

Ghost condensate model of flat rotation curvesJul 29 2005An effective action of ghost condensate with higher derivatives creates a source of gravity and mimics a dark matter in spiral galaxies. We present a spherically symmetric static solution of Einstein--Hilbert equations with the ghost condensate at large ... More

Vector field as a quintessence partnerFeb 23 2004May 07 2004We derive generic equations for a vector field driving the evolution of flat homogeneous isotropic universe and give a comparison with a scalar filed dynamics in the cosmology. Two exact solutions are shown as examples, which can serve to describe an ... More

Electroweak symmetry breaking in Higgs mechanism with composite operators and solution of naturalnessSep 29 1999Apr 09 2003Introducing a source for a bi-local composite operator motivated by the perturbative expansion in gauge couplings, we calculate its effective potential in the renormalization group of Standard Model with no involvement of technicolor. The potential indicates ... More

Radial geodesics as a microscopic origin of black hole entropy. III: Exercise with the Kerr-Newman black holeDec 22 2004Jan 04 2005We specify an angular motion on geodesics to reduce the problem to the case of radial motion elaborated in previous chapters. An appropriate value of entropy for a charged and rotating black hole is obtained by calculating the partition function on thermal ... More

Heavy quark-meson mass gap from spectroscopyFeb 21 1996Using a quite accurate flavour-independence of $nS$-level mass differences in heavy quarkonia and a corresponding quasiclassical expression for the heavy quark binding energy, one shows that experimental data on masses of mesons with heavy quarks allow ... More

On spectral multiplicities of Gaussian actionsJun 12 2014Jun 30 2014For any set $M$ of natural numbers there are mixing Gaussian automorphisms and non-mixing Gaussian automorphisms with singular spectrum (as well as some automorphisms which are disjoint from all Gaussian actions) such that $ M\cup\{\infty\}$ is the set ... More

Homogeneous spectrum, Disjointness of Convolutions, and Mixing Properties of Dynamical SystemsJun 26 2012Jun 27 2012In connection with Rokhlin's question on an automorphism with a homogeneous nonsimple spectrum, we indicate a class of measure-preserving maps $T$ such that $T\times T$ has a homogeneous spectrum of multiplicity 2. The automorphisms in question satisfy ... More

Lebesgue Component in Spectrum for Tensor Product of Generic MultipliesJan 16 2013Jan 18 2013Generic (rigid) measure-preserving transformations with Lebesgue component in spectrum of their tensor product, two rigid Gaussian systems and two rigid Poisson suspensions with similar spectral interactions are presented.

Sections, Selections and Prohorov's TheoremMar 21 2010The famous Prohorov theorem for Radon probability measures is generalized in terms of usco mappings. In the case of completely metrizable spaces this is achieved by applying a classical Michael result on the existence of usco selections for l.s.c. mappings. ... More

Alexandroff type manifolds and homology manifoldsJan 13 2013Apr 13 2014We introduce and investigate the notion of (strong) $K^n_G$-manifolds, where $G$ is an abelian group. One of the result related to that notion (Theorem 3.4) implies the following partial answer to the Bing-Borsuk problem \cite{bb}, whether any partition ... More

Geometrical and analytical characteristic properties of piecewise affine mappingsNov 06 2011Let X and Y be finite dimensional normed spaces, F(X,Y) a collection of all mappings from X into Y. A mapping $P\in F(X,Y)$ is said to be piecewise affine if there exists a finite family of convex polyhedral subsets covering X and such that the restriction ... More

CPT groups for spinor field in de Sitter spaceAug 25 2005Dec 04 2005A group structure of the discrete transformations (parity, time reversal and charge conjugation) for spinor field in de Sitter space are studied in terms of extraspecial finite groups. Two $CPT$ groups are introduced, the first group from an analysis ... More

Group Theoretical Interpretation of the CPT-theoremJun 12 2003May 21 2004An algebraic description of basic discrete symmetries (space inversion P, time reversal T, charge conjugation C and their combinations PT, CP, CT, CPT) is studied. Discrete subgroups {1,P,T,PT} of orthogonal groups of multidimensional spaces over the ... More

The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergenceNov 10 2013The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence are found.

Generalizations of two theorems of Ritt on decompositions of polynomial mapsNov 06 2007Nov 20 2007Two theorems of J. F. Ritt on decompositions of polynomials maps are generalized to a more general situation: for, so-called, reduction monoids ($(K[x], \circ)$ and $(K[x^2]x, \circ)$ are examples of reduction monoids). In particular, analogues of the ... More

Braids, their properties and generalizationsNov 22 2006In the paper we give a survey on braid groups and subjects connected with them. We start with the initial definition, then we give several interpretations as well as several presentations of these groups. Burau presentation for the pure braid group and ... More

On the singular braid monoidSep 20 2003Garside's results and the existense of the greedy normal form for braids are shown to be true for the singular braid monoid. An analogue of the presentation of J. S. Birman, K. H. Ko and S. J. Lee for the braid group is also obtained for this monoid.

The algebra of polynomial integro-differential operators is a holonomic bimodule over the subalgebra of polynomial differential operatorsApr 03 2011In contrast to its subalgebra $A_n:=K<x_1, ..., x_n, \frac{\der}{\der x_1}, ...,\frac{\der}{\der x_n}>$ of polynomial differential operators (i.e. the $n$'th Weyl algebra), the algebra $\mI_n:=K<x_1, ..., x_n, \frac{\der}{\der x_1}, ...,\frac{\der}{\der ... More

The group of order preserving automorphisms of the ring of differential operators on Laurent polynomial algebra in prime characteristicJun 05 2008Let $K$ be a field of characteristic $p>0$. It is proved that the group $\Aut_{ord}(\CD (L_n))$ of order preserving automorphisms of the ring $\CD (L_n)$ of differential operators on a Laurent polynomial algebra $L_n:= K[x_1^{\pm 1}, ..., x_n^{\pm 1}]$ ... More