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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.

On Disjointness of Mixing Rank One ActionsSep 04 2011For flows the rank is an invariant by linear change of time. But what we can say about isomorphisms? It seems that in case of mixing flows this problem is the most difficult. However the known technique of joinings provides non-isomorphism for mixing ... More

On Local Rank, Joinings and Asymptotic Properties of Measure-Preserving ActionsMay 31 2012The note contains a collection of facts and observations around locally rank one actions as well as constructions connected with some results by T.Downarowicz, A.Katok, J.King, F.Parreau, A.A.Prikhodko, E.Roy, J.Serafin, J-P.Thouvenot et al.

On Mixing Constructions with Algebraic SpacersAug 06 2011Aug 09 2011We recall a proof of the mixing for almost all Ornstein's stochastic rank one constructions, replace stochastic spacers by special algebraic ones and prove the mixing in this new situation.

Simple Spectrum for Tensor Products of Mixing Map PowersJul 24 2011We prove the existence of a mixing rank one map $T$ such that the product $T\otimes T^2\otimes T^3\otimes...$ has simple spectrum. This result is used in S.V. Thikhonov's proof of the existence of mixing transformation with homogeneous spectrum of multiplicity ... More

Spectral multiplicity for powers of weakly mixing automorphismsFeb 15 2011We study the behavior of maximal multiplicities $mm (R^n)$ for the powers of a weakly mixing automorphism $R$. For some special infinite set $A$ we show the existence of a weakly mixing rank-one automorphism $R$ such that $mm (R^n)=n$ and $mm(R^{n+1}) ... More

On Thouvenot's ergodic proof of Roth's theoremJul 27 2011Aug 02 2011We present a lecture note on Thouvenot's proof of the Roth-Furstenberg theorem and joining proofs of Furstenberg's theorems on multiple progression average mixing for weakly mixing transformations.

Weakly homoclinic groups of ergodic actionsJan 25 2019This work contains the following results: the trajectory fullness of the homoclinic groups, their connections with factors, K-property, weak multiple mixing; the ergodicity of the weakly homoclinic group for Gauss and Poisson actions; the triviality of ... More

Minimal Self-Joinings, Bounded Constructions, and Weak Closure of Ergodic ActionsDec 11 2012Dec 12 2012For a weakly mixing bounded rank-one construction the disjointness of its powers is proved. For non-rigid constructions we get minimal self-joinings. Examples of non-mixing rank one actions with explicit weak closure are proposed.

Spectral properties and approximations of joinings for infinite rank-one actionsFeb 08 2019An ergodic self-joining of an infinite rank-one transformation is a part of the weak limit of off-diagonal measures. A class of uncountaible cardinality of nonisomorphic transformations with polynomial weak closure is presented. Such actions have minimal ... More

Asymmetries in Asymptotic 3-fold Properties of Ergodic ActionsFeb 04 2014Feb 10 2014We present: 1) a mixing $Z ^ 2$-action with the following asymmetry of multiple mixing property: for some commuting measure-preserving transformations $S$, $T$ and a sequence $n_j$ $$ \lim_{j\to \infty}\mu(A\bigcap S^{-n_j}A\bigcap T^{-n_j}A)=\mu(A)^3$$ ... More

On Mixing of Staircase TransformationsAug 17 2011We prove the mixing for all staircase transformations satisfied the conditions $r_j/h_j\to 0$ + $r_j\to\infty$.

Chacon's Type Ergodic Transformations with Unbounded Arithmetic SpacersNov 18 2013Dec 02 2013The following generalizations of the Chacon map are proposed: instead of classical constant spacer sequence $(0,1,0)$ let a sequence $(0,s_j,0)$ be one with unbounded $s_j$. (We mention also an analogue of the historical Chacon map with spacer sequences ... More

Ergodic bounded constructions, Disjointness and Weak Limits of PowersJan 08 2013Apr 25 2013In connection with some recent results by J. Bourgain and H. Abdalaoui, M. Lemanczyk, T. De La Rue (ALR) we present a short proof of Bourgain's theorem on Mobius orthogonality property for bounded rank-one constructions. The proof of the fact (due to ... More

On Mixing Rank One Infinite TransformationsJun 23 2011J.-P. Thouvenot and the author showed via different approaches that the centralizer of a mixing rank-one infinite measure preserving transformation was trivial. In this note the author presents his joining proof. We also consider constructions with algebraic ... More

Local Rank of Ergodic Symmetric $n$-Powers does not exceed $n!n^{-n}$Aug 29 2011We prove that local rank of an ergodic symmetric power $T^{\odot n}$ does not exceed $n!n^{-n}$. A. Katok's old results show that this upper bound is exact. We prove also that $T^{\odot n}$ has infinite Rank as $n>1$.

Weak Closure Theorem for Double Staircase ActionsAug 02 2011We introduce a double staircase construction $T$ and show that the weak closure of $\{T^n\}$ is $\{\int, 2^{-m}T^n+(1-2^{-m})\int \ : m\in\N,\ n\in \Z\}.$

On the isomorphism of tensor powers of ergodic flowsOct 31 2016Nov 28 2016The following question due to Thouvenot is well-known in ergodic theory. Let $S$ and $T$ be automorphisms of a probability space and let $ S \times S $ be isomorphic to $T \times T $. Could $S$ be not isomorphic to $T$? Our note contains a simple answer ... More

Homoclinic invariants of ergodic actionsNov 09 2016Nov 29 2016We consider a family of homoclinic groups and Gordin's type invariants of measure-preserving actions, state their connections with factors, full groups, ranks, rigidity, multiple mixing and realize such invariants in the class of Gaussian and Poisson ... More

On the isomorphism of tensor powers of ergodic flowsOct 31 2016The following question due to Thouvenot is well-known in ergodic theory. Let $S$ and $T$ be automorphisms of a probability space and let $ S \times S $ be isomorphic to $T \times T $. Could $S$ be not isomorphic to $T$? Our note contains a simple answer ... More

Homoclinic invariants of ergodic actionsNov 09 2016We consider a family of homoclinic groups and Gordin's type invariants of measure-preserving actions, state their connections with factors, full groups, ranks, rigidity, multiple mixing and realize such invariants in the class of Gaussian and Poisson ... More

On the isomorphism of tensor powers of ergodic flowsOct 31 2016Dec 19 2016The following question due to Thouvenot is well-known in ergodic theory. Let $S$ and $T$ be automorphisms of a probability space and let $ S \otimes S $ be isomorphic to $T \otimes T $. Could $S$ be not isomorphic to $T$? Our note contains a simple answer ... More

Mixing Flows with Homogeneous Spectrum of Multiplicity TwoApr 30 2014A mixing flow with homogeneous spectrum of multiplicity 2 is presented.

Energy Resolution Improvement of Scintielectron detectors: Priorities and ProspectsJan 25 2002The development prospects of a scintillator-photodiode type detector with an improved energy resolution attaining few per cent, R from 1 to 2%, are considered. The main resolution components have been analyzed theoretically, their theoretical and physical ... More

On spectral multiplicities {2, 4,..., 2^n} for totally ergodic Z^2-actionsDec 20 2012For totally ergodic Z^2-actions a collection of weak limits provide the set {2,4, ..., 2 ^ n} of spectral multiplicities for their tensor product. Our conditions allow to obtain a similar result for mixing actions via some limit procedure.

Outlook for development of a scintielectron detector with improved energy resolutionFeb 22 2002Feb 25 2002The development prospects have been considered of a scintillator-photodiode type detector with improved energy resolution attaining several per cent ($R=1-2%$). The main contributions to the scintielectron detector energy resolution have been analyzed ... More

Several questions and hypotheses concerning the limit polynomials for Chacon transformationJul 03 2012We study the weak closure $L$ of powers $T^k$ of the non-singular Chacon transformation $T$ with 2-cuts. This is still an open question does $L$ contain any Markov operator except an orthogonal projector to the constants $\Theta$ and some polynomials ... More

Multi-energy techniques for radiographic monitoring of chemical compositionJun 03 2002A theoretical model of multi-energy radiography (MER) are proposed. It is shown that, as distinct from the conventional radiography, MER allows identification of organic substances and control of their chemical composition. Broad prospects are noted for ... More

On self-similarities of ergodic flowsNov 01 2010Jan 04 2012Given an ergodic flow $T=(T_t)_{t\in\Bbb R}$, let $I(T)$ be the set of reals $s\ne 0$ for which the flows $(T_{st})_{t\in\Bbb R}$ and $T$ are isomorphic. It is proved that $I(T)$ is a Borel subset of $\Bbb R^*$. It carries a natural Polish group topology ... More

Spectral multiplicities for infinite measure preserving transformationsMay 21 2009Aug 28 2010Each subset $E\subset\Bbb N$ is realized as the set of essential values of the multiplicity function for the Koopman operator of an ergodic conservative infinite measure preserving transformation.

Mixing constructions with infinite invariant measure and spectral multiplicitiesAug 12 2009Jan 19 2010We introduce high staircase infinite measure preserving transformations and prove that they are mixing under a restricted growth condition. This is used to (i) realize each subset $E\subset\Bbb N\cup\{\infty\}$ as the set of essential values of the multiplicity ... More

Direct reconstruction of the effective atomic number of materials by the method of multi-energy radiographyOct 23 2003A direct method is proposed for reconstruction of the effective atomic number by means of multi-energy radiography of the material. The accuracy of the method is up to 95% . Advantages over conventional radiographic methods, which ensure accuracy of just ... More

The Complexity of Clausal Fragments of LTLJun 21 2013Oct 10 2013We introduce and investigate a number of fragments of propo- sitional temporal logic LTL over the flow of time (Z, <). The fragments are defined in terms of the available temporal operators and the structure of the clausal normal form of the temporal ... More

Photoconductivity of CdS-CdSe granular films: influence of microstructureOct 14 2008Aug 23 2010We study experimentally the photoconductivity of CdS-CdSe sintered granular films obtained by the screen printing method. We mostly focus on the dependences of photoconductivity on film's microstructure, which varies with changing heat-treatment conditions. ... More

Detection of organic materials by spectrometric radiography methodOct 03 2008In this paper we report a spectrometric approach to dual-energy digital radiography that has been developed and applied to identify specific organic substances and discern small differences in their effective atomic number. An experimental setup has been ... More

X-ray multi-energy radiography with scintillator-photodiode detectorsJun 05 2002Nov 29 2002For reconstruction of the spatial structure of many-component objects, it is proposed to use multi-radiography with detection of X-ray by combined detector arrays using detectors of ``scintillator-photodiode'' type. A theoretical model has been developed ... More

Multi-Energy Radiography Against Terrorism. Theory and ExperimentsApr 23 2005May 22 2006Multi-energy radiography is a new direction in non-destructive testing. Its specific feature is separate detection of penetrating radiation in several energy channels. Multi-energy radiography allows quantitative determination of the atomic composition ... More

Multi-energy radiography on the basis of "scintillator-photodiode" detectorsJun 10 2002Nov 29 2002For reconstruction of the spatial structure and thicknesses of complex objects and materials, it is proposed to use multi-radiography with detection of X-ray or gamma-radiation by combined detector arrays of scintillator-photodiode type. Experimental ... More

The Complexity of Ontology-Based Data Access with OWL 2 QL and Bounded Treewidth QueriesFeb 11 2017Our concern is the overhead of answering OWL 2 QL ontology-mediated queries (OMQs) in ontology-based data access compared to evaluating their underlying tree-shaped and bounded treewidth conjunctive queries (CQs). We show that OMQs with bounded-depth ... More

X-Ray Multi-Energy Introscopy Systems with New Semiconductor ScintillatorsJun 10 2002Theoretical background and data on the ways of practical realization are presented, related to the problem of detection of dangerous organic objects (explosives, drugs, etc.) in the presence of other organic substances with atomic number differing by ... More

Scintillator-photodiode type detectors for multi-energy scanning introscopyJul 23 2002Results of experimental studies of detector arrays S-PD (scintillator-photodiode) and PRD (scintillator-photoreceiving device) used for X-ray digital radiography have shown that there exist further possibilities to increase spatial resolution of this ... More

Sub-wavelength imaging: Resolution enhancement using metal wire gratingsSep 26 2005An experimental evidence of subwavelength imaging with a "lens", which is a uniaxial negative permittivity wire medium slab, is reported. The slab is formed by gratings of long thin parallel conducting cylinders. Taking into account the anisotropy and ... More

Application of PbWO4 crystal scintillators in experiment to search for double beta decay of 116CdDec 10 2004PbWO4 crystal scintillators are discussed as an active shield and light-guides in 116Cd double beta decay experiment with CdWO4 scintillators. Scintillation properties and radioactive contamination of PbWO4 scintillators were investigated. Energy resolution ... More

Approximating the Maximum Number of Synchronizing States in AutomataAug 02 2016Sep 18 2016We consider the problem {\sc Max Sync Set} of finding a maximum synchronizing set of states in a given automaton. We show that the decision version of this problem is PSPACE-complete and investigate the approximability of {\sc Max Sync Set} for binary ... More

Ergodic Homoclinic Groups, Infinite Sidon Constructions and Poisson SuspensionsApr 01 20141. We answer Michael Gordin's question providing singular spectrum for transformations with homoclinic Bernoulli flows via Poisson suspensions induced by modified Sidon rank-one constructions. 2. We give homoclinic proof of Emmanuel Roy's theorem on multiple ... More

Palindromic Subsequences in Finite WordsJan 22 2019In 1999 Lyngs{\o} and Pedersen proposed a conjecture stating that every binary circular word of length $n$ with equal number of zeros and ones has an antipalindromic linear subsequence of length at least $\frac{2}{3}n$. No progress over a trivial $\frac{1}{2}n$ ... More

On Minimum Maximal Distance-k MatchingsFeb 15 2016We study the computational complexity of several problems connected with the problems of finding a maximal distance-$k$ matching of minimum cardinality or minimum weight. We introduce the class of $k$-equimatchable graphs which is an edge analogue of ... 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

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

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

Hyperfine-induced spin relaxation of a diffusively moving carrier in low dimensions: implications for spin transport in organic semiconductorsMar 27 2015The hyperfine coupling between the spin of a charge carrier and the nuclear spin bath is a predominant channel for the carrier spin relaxation in many organic semiconductors. We theoretically investigate the hyperfine-induced spin relaxation of a carrier ... More

Polaron spin echo envelope modulations in an organic semiconducting polymerSep 09 2016Theoretical treatment of the electron spin echo envelope modulation (ESEEM) spectra from polarons in a semiconducting $\pi$- conjugated polymer is presented. The contact hyperfine coupling and the dipolar interaction between the polaron and proton spins ... More

Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamondMar 25 2014We study dynamics of the electron spin of a nitrogen-vacancy (NV) center subjected to a strong driving field with periodically reversed direction (train of rotary echoes). We use analytical and numerical tools to analyze in detail the form and timescales ... More

Constructing the ultimate theory of grand unificationMay 16 2011Nov 02 2011In accordance with known phenomenological facts on leptons and quarks in the Standard Model as well as on the scale of neutrino masses and introducing the supersymmetry, we logically substantiate the unique composition of fundamental representation for ... More

Theory of the electron relaxation in metals excited by an ultrashort optical pumpAug 20 2013Mar 05 2014The theory of the electron relaxation in metals excited by an ultrashort optical pump is developed on the basis of the solution of the linearized kinetic equation. The kinetic equation includes both the electron-electron and the electron-phonon collision ... 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

On some basic properties of Leibniz algebrasFeb 14 2013Mar 01 2013This paper gives an overview of some basic properties of Leibniz algebras. Some of the results were known earlier, but in the article they are accompanied by new simple proofs. Some of the results are new. The article can be viewed as a digest or a mini-manual ... More

Namioka spaces and strongly Baire spacesJan 22 2016A notion of strongly Baire space is introduced. Its definition is a transfinite development of some equivalent reformulation of the Baire space definition. It is shown that every strongly Baire space is a Namioka space and every $\beta-\sigma$-unfavorable ... More

New criteria for a ring to have a semisimple left quotient ringMar 04 2013Goldie's Theorem (1960), which is one of the most important results in Ring Theory, is a criterion for a ring to have a semisimple left quotient ring. The aim of the paper is to give four new criteria (using a completely different approach and new ideas). ... More

Characterizations of left orders in left Artinian ringsDec 14 2012Small (1966), Robson (1967), Tachikawa (1971) and Hajarnavis (1972) have given different criteria for a ring to have a left Artinian left quotient ring. In this paper, three more new criteria are given.

Dixmier's Problem 5 for the Weyl AlgebraMar 02 2004A proof is given to the Dixmier's 5'th problem for the Weyl algebra.

Criteria for a ring to have a left Noetherian left quotient ringAug 16 2015Two criteria are given for a ring to have a left Noetherian left quotient ring (this was an open problem since 70's). It is proved that each such ring has only finitely many maximal left denominator sets.

Polarons: from single polaron to short scale phase separationNov 07 2006Short review of the phase separation in the system of charged polarons.

Three-page embeddings of singular knotsSep 19 2003Sep 20 2003Construction of a semigroup with 15 generators and 84 relations is given. The center of this semigroup is in one-to-one correspondence with the set of all isotopy classes of non-oriented singular knots (links with finitely many double intersections in ... More

Two scales in neutrino physicsJun 28 2011The problem of neutrino mass origin is considered on the phenomenological level. The assumption is made that the neutrino mass values depend on two dominant contributions with their characteristic scales. The neutrino mass values as well as the values ... More

Fundamental interactions in quantum phase space specified by extra dimensional constantsNov 14 2007Dec 18 2007A generalized algebra of quantum observables, depending on extra dimensional constants, is considered. Some limiting forms of the algebra are investigated and their possible applications to the descriptions of interactions of fundamental particles are ... More

Mass spectra of excited meson states consisting of u-, d-quarks and antiquarksApr 11 2005Mass spectra of excited meson states consisting of u-, d-quarks and antiquarks with I = 1 are considered. The comparison between the existing experimental data and the mass values evaluated with phenomenological formulae is carried out. Problems of identification ... More

Open Clusters IC 4665 and Cr 359 and a Probable Birthplace of the Pulsar PSR B1929+10Oct 01 2008Based on the epicyclic approximation, we have simulated the motion of the young open star clusters IC 4665 and Collinder 359. The separation between the cluster centers is shown to have been minimal 7 Myr ago, 36 pc. We have established a close evolutionary ... More

The alpha-calculus-cum-alpha-analysis of r-th order derivative of zeta(s,alpha)Jul 18 2011For the higher order derivative(with respect to the first variable) of Hurwitz zeta function,we discuss as a function of the second variable,the location and the nature of its singularities and obtain the formulae for its derivative and primitive and ... More

Approximate Functional Equation for the Product of Functions and Divisor ProblemFeb 07 2005Feb 02 2009For functions defined via Dirichlet/generalized Dirichlet series in some half planes of the complex plane, we give a new simple elementary approach to obtain an Approximate Functional Equation(AFE for short) for the product of functions with explicit ... More

Hamiltonian anomalies of bound states in QEDMay 13 2012The Bound State in QED is described in systematic way by means of nonlocal irreducible representations of the nonhomogeneous Poincare group and Dirac's method of quantization. As an example of application of this method we calculate triangle diagram $Para-Positronium ... More

Chiral Phenomenological Relations between Rates of Rare Radiative Decay of Kaon to Pion and leptons and the meson FormfactorsApr 09 2010Oct 08 2010In framework of the chiral perturbation theory we obtain the phenomenological relations between decay branches of rare radiative kaon to pion and leptons $K^+ \to \pi^+ l^+ l^-$ and $K^0_S \to \pi^0 l^+ l^-$ and meson form factors. The comparison of these ... More

On the two body problem in the classical electrodynamicsJan 12 2015Jan 14 2015In this paper we propose an approach to the problem of two body motion in classical electrodynamics that takes into account the electromagnetic radiation and the radiation reaction forces. The resulting differential equations are solved numerically.

Surface plasmon excitation by a quantum oscillatorNov 08 2009Dec 03 2009Surface waves in a thin uniform metal film are described in terms of quantum electrodynamics.The interaction of surface waves with a quantum oscillator is discussed in the dipole approximation. The increase in the spontaneous emission rate of the excited ... More

Viscous dark fluidOct 01 2007Oct 15 2007The unified dark energy and dark matter model within the framework of a model of a continuous medium with bulk viscosity (dark fluid) is considered. It is supposed that the bulk viscosity coefficient is an arbitrary function of the Hubble parameter. The ... More

Letters of a Bi-Rationalist: VII. Ordered terminationJul 31 2006Nov 21 2006To construct a resulting model in LMMP is sufficient to prove existence of log flips and their termination for certain sequences. We prove that LMMP in dimension $d-1$ and termination of terminal log flips in dimension $d$ imply, for any log pair of dimension ... More

CPT Groups of Spinor Fields in de Sitter and Anti-de Sitter SpacesJan 30 2014Apr 02 2015$CPT$ groups for spinor fields in de Sitter and anti-de Sitter spaces are defined in the framework of automorphism groups of Clifford algebras. It is shown that de Sitter spaces with mutually opposite signatures correspond to Clifford algebras with different ... More

Cyclic structures of Cliffordian supergroups and particle representations of Spin_+(1,3)Jul 26 2012Supergroups are defined in the framework of $\dZ_2$-graded Clifford algebras over the fields of real and complex numbers, respectively. It is shown that cyclic structures of complex and real supergroups are defined by Brauer-Wall groups related with the ... More

Group averaging for de Sitter free fields in terms of hyperspherical functionsFeb 18 2010Jun 03 2011We study the convergence of inner products of free fields over the homogeneous spaces of the de Sitter group and show that the convergence of inner products in the of $N$-particle states is defined by the asymptotic behavior of hypergeometric functions. ... More

On integrable discretization of the inhomogeneous Ablowitz-Ladik modelOct 13 1999An integrable discretization of the inhomogeneous Ablowitz-Ladik model with a linear force is introduced. Conditions on parameters of the discretization which are necessary for reproducing Bloch oscillations are obtained. In particular, it is shown that ... More

Time-resolved spectroscopy and photometry of the dwarf nova FS Aurigae in quiescenceJun 21 2001Oct 26 2001We present results of non-simultaneous time-resolved photometric and spectroscopic observations of the little-studied dwarf nova FS Aur in quiescence. The spectrum of FS Aur shows strong and broad emission lines of hydrogen and HeI, and of weaker HeII ... More

Universal Coverings of the Orthogonal GroupsMay 13 2004Universal coverings of the orthogonal groups and their extensions are studied in terms of Clifford-Lipschitz groups. An algebraic description of basic discrete symmetries (space inversion $P$, time reversal $T$, charge conjugation $C$ and their combinations ... More

The group ${\rm K}_1(\mS_n)$ of the algebra of one-sided inverses of a polynomial algebraMay 19 2010May 03 2013The algebra $\mS_n$ of one-sided inverses of a polynomial algebra $P_n$ in $n$ variables is obtained from $P_n$ by adding commuting, {\em left} (but not two-sided) inverses of the canonical generators of the algebra $P_n$. The algebra $\mS_n$ is a noncommutative, ... More

Electroweak Phase Transition in Strong Magnetic Fields in the Standard Model of Elementary ParticlesDec 08 1999The electroweak phase transition in the magnetic and hypermagnetic fields is studied in the Standard Model on the base of investigation of symmetry behaviour within the consistent effective potential of the scalar and magnetic fields at finite temperature. ... More

Extinctions and distances of dark clouds from UGRIJHK photometry of red clump giants: the North America and Pelican nebulae complexNov 25 2009A possibility of applying 2MASS J, H, Ks, IPHAS r, i and MegaCam u, g photometry of red giants for determining distances to dark clouds is investigated. Red clump giants with a small admixture of G5-K1 and M2-M3 stars of the giant branch can be isolated ... More

Young Stars in the Camelopardalis Dust and Molecular Clouds. III. the GL 490 RegionMar 17 2008Using the infrared photometry data extracted from the 2MASS, IRAS and MSX databases, 50 suspected young stellar objects (YSOs) are selected from about 37500 infrared objects in the 3x3 deg area with the center at Galactic longitude 142.5 deg and latitude ... More

Young stars and clouds in CamelopardalisNov 18 2008Star formation in the Local spiral arm in the direction of the Galactic longitudes 132--158 deg is reviewed. Recent star-forming activity in this Milky Way direction is evidenced by the presence here of the Cam OB1 association and dense dust and molecular ... More

Surface modes and photonic modes in Casimir calculations for a compact cylinderDec 20 2007A rigorous formulation of the problem of calculating the electromagnetic vacuum energy of an infinite dielectric cylinder is discussed. It is shown that the physically relevant spectrum of electromagnetic excitations includes the surface modes and photonic ... More

On the model of the relativistic particle with curvature and torsionMay 29 1993Two integrals along the world trajectory of its curvature and torsion are added to the standard action for the point-like spinless relativistic particle. Since here the three-dimensional space-time is considered at the beginning, the torsion of the world ... More

On squaring the primary constraints in a generalized Hamiltonian dynamicsSep 02 1993Consideration of the model of the relativistic particle with curvature and torsion in the three-dimensional space-time shows that the squaring of the primary constraints entails a wrong result. The complete set of the Hamiltonian constraints arising here ... More

The nature of the Vela X-ray "jet"Dec 02 1999The nature of the Vela X-ray "jet", recently discovered by Markwardt & \"Ogelman (1995), is examined. It is suggested that the "jet" arises along the interface of domelike deformations of the Rayleigh-Taylor unstable shell of the Vela supernova remnant; ... More

Supernova remnant S147 and its associated neutron star(s)Aug 27 2005Apr 08 2006The supernova remnant S147 harbors the pulsar PSR J0538+2817 whose characteristic age is more than an order of magnitude greater than the kinematic age of the system (inferred from the angular offset of the pulsar from the geometric center of the supernova ... More

Light amplification and scattering by clusters made of small active particles: the local perturbation approachApr 04 2013Dec 14 2014The light amplification by finite active media is used extensively in modern optics applications. In this paper the light amplification and scattering by cluster of small particles is studied analytically and numerically with the help of the local perturbation ... More

On Justification of Gibbs DistributionApr 04 2005The paper develop a new approach to the justification of Gibbs canonical distribution for Hamiltonian systems with finite number of degrees of freedom. It uses the condition of nonintegrability of the ensemble of weak interacting Hamiltonian systems.

Canonical Gibbs distribution and thermodynamics of mechanical systems with a finite number of degrees of freedomApr 04 2005Traditional derivation of Gibbs canonical distribution and the justification of thermodynamics are based on the assumption concerning an isoenergetic ergodicity of a system of $n$ weakly interacting identical subsystems and passage to the limit $n\to\infty$. ... More

Billiards, invariant measures, and equilibrium thermodynamics. IIMar 09 2005The kinetics of collisionless continuous medium is studied in a bounded region on a curved manifold. We have assumed that in statistical equilibrium, the probability distribution density depends only on the total energy. It is shown that in this case, ... More