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Speckle interferometry of secondary components in nearby visual binariesAug 23 2016Statistical characterization of secondary subsystems in binaries helps to distinguish between various scenarios of multiple-star formation. The DSSI speckle instrument was used at the Gemini-N telescope for several hours in 2015 July to probe binarity ... More

Observations of red giants with suspected massive companionsFeb 08 2019Motivated by the existence of binary systems where a stellar-mass black hole is bound to a normal star, we selected four red giants with large radial velocity (RV) variation from the survey of SIM grid stars and monitored their RVs for several months. ... More

Kappa Fornaci, a triple radio-starJan 07 2013Bright and nearby (22pc) solar-type dwarf Kappa Fornaci (HIP 11072) is a triple system. The close pair of M-type dwarfs Ba,Bb with a tentative period of 3.7 days moves around the main component A on a 26-year orbit. The mass of the "dark companion" Ba+Bb ... More

Low-mass visual companions to nearby G-dwarfsNov 09 2010Complete census of wide visual companions to nearby G-dwarf stars can be achieved by selecting candidates from the 2MASS Point-Source Catalog and checking their status by second-epoch imaging. Such data are obtained for 124 candidates with separations ... More

New orbits based on speckle interferometry at SOARAug 03 2016Orbits of 55 visual binary stars are computed using recent speckle interferometry data from the SOAR telescope: 33 first-time orbits and 22 revisions of previous orbit calculations. The orbital periods range from 1.4 to 370 years, the quality of orbits ... More

The triple system Zeta AquariiAug 30 2016Zeta Aquarii is a bright and nearby (28 pc) triple star with a 26-year astrometric subsystem. Almost a half of the outer 540-year visual orbit has been covered in 238 years of its observations. Both inner and outer orbits are revised here taking into ... More

From binaries to multiples II: hierarchical multiplicity of F and G dwarfsJan 27 2014Statistics of hierarchical multiplicity among solar-type dwarfs are studied using the distance-limited sample of 4847 targets presented in the accompanying Paper I. Known facts about binaries (multiplicity fraction 0.46, log-normal period distribution ... More

Atmospheric time constant with MASS and FADEJan 17 2011The approximate nature of the adaptive-optics time constant measurements with MASS is examined. The calibration coefficient C derived from numerical simulations of polychromatic scintillation shows dependence on the height of the turbulence layer, wind ... More

Speckle interferometry and orbits of "fast" visual binariesJun 08 2012Results of speckle observations at the 4.1-m SOAR telescope in 2012 (158 measures of 121 systems, 27 non-resolutions) are reported. The aim is to follow fast orbital motion of recently discovered or neglected close binaries and sub-systems. Here 8 previously ... More

Spectroscopic subsystems in nearby wide binariesNov 04 2015Radial velocity (RV) monitoring of solar-type visual binaries has been conducted at the CTIO/SMARTS 1.5-m telescope to study short-period systems. Data reduction is described, mean and individual RVs of 163 observed objects are given. New spectroscopic ... More

Orbits of four young triple-lined multiple systemsApr 21 2016Each of the nearby triple systems HIP 7601, 13498, 23824, and 113597 (HD 10800, 18198, 35877, 217389) consists of solar-type dwarfs with comparable masses, where all three components are resolved spectrally, while the outer pairs are resolved both visually ... More

Orbits of subsystems in four hierarchical multiple starsApr 21 2016Seven spectroscopic orbits in nearby solar-type multiple stars are presented. The primary of the chromospherically active star HIP 9642 is a 4.8-day double-lined pair; the outer 420-yr visual orbit is updated, but remains poorly constrained. HIP 12780 ... More

Imaging survey of subsystems in secondary components to nearby southern dwarfsJul 22 2014Aug 01 2014To improve the statistics of hierarchical multiplicity, secondary components of wide nearby binaries with solar-type primaries were surveyed at the SOAR telescope for evaluating the frequency of subsystems. Images of 17 faint secondaries were obtained ... More

From binaries to multiples I: Data on F and G dwarfs within 67 pc of the SunJan 27 2014Data on the multiplicity of F- and G-type dwarf stars within 67pc of the Sun are presented. This distance-limited sample based on the Hipparcos catalog contains 4847 primary stars (targets) with 0.5<V-I_C<0.8 and is >90% complete. There are 2196 known ... More

Wide companions to Hipparcos stars within 67 pc of the SunAug 02 2012A catalog of common-proper-motion (CPM) companions to stars within 67 pc of the Sun is constructed based on the SUPERBLINK proper-motion survey. It contains 1392 CPM pairs with angular separations 30" < \rho < 1800", relative proper motion between the ... More

Eccentricity distribution of wide binariesDec 01 2015A sample of 477 solar-type binaries within 67pc with projected separations larger than 50AU is studied by a new statistical method. Speed and direction of the relative motion are determined from the short observed arcs or known orbits, and their joint ... More

Companions to nearby stars with astrometric acceleration. IIApr 30 2013Hipparcos astrometric binaries were observed with the NICI adaptive optics system at Gemini-S, completing the work of Paper I (Tokovinin et al. 2012). Among the 65 F, G, K dwarfs within 67pc of the Sun studied here, we resolve 18 new sub-arcsecond companions, ... More

SOAR Adaptive Optics Observations of the Globular Cluster NGC6496Apr 16 2013We present high-quality BVRI photometric data in the field of globular cluster NGC 6496 obtained with the SOAR Telescope Adaptive Module (SAM). Our observations were collected as part of the ongoing SAM commissioning. The distance modulus and cluster ... More

SRAO: optical design and the dual-knife-edge WFSAug 01 2016The Southern Robotic Adaptive Optics (SRAO) instrument will bring the proven high-efficiency capabilities of Robo-AO to the Southern-Hemisphere, providing the unique capability to image with high-angular-resolution thousands of targets per year across ... More

Sub-systems in nearby solar-type wide binariesJun 07 2010We conducted a deep survey of resolved sub-systems among wide binaries with solar-type components within 67 pc from the Sun. Images of 61 stars in the K and H bands were obtained with the NICI adaptive-optics instrument on the 8-m Gemini-South telescope. ... More

Revealing companions to nearby stars with astrometric accelerationApr 18 2012A subset of 51 Hipparcos astrometric binaries among FG dwarfs within 67pc has been surveyed with the NICI adaptive optics system at Gemini-S, directly resolving for the first time 17 sub-arcsecond companions and 7 wider ones. Using these data together ... More

The unusual quadruple system HD 91962 with a "planetary" architectureApr 24 2015The young nearby solar-type star HD 91962 is a rare quadruple system where three companions revolve around the main component with periods of 170.3 days, 8.85 years, and 205 years. The two outer orbits are nearly co-planar, and all orbits have small eccentricities. ... More

Speckle interferometry at the Blanco and SOAR telescopes in 2008 and 2009Nov 30 2009The results of speckle interferometric measurements of binary and multiple stars conducted in 2008 and 2009 at the Blanco and SOAR 4-m telescopes in Chile are presented. A total of 1898 measurements of 1189 resolved pairs or sub-systems and 394 observations ... More

Speckle interferometry at SOAR in 2012 and 2013Mar 19 2014We report the results of speckle runs at the 4.1-m Southern Astronomical Research (SOAR) telescope in 2012 and 2013. A total of 586 objects were observed. We give 699 measurements of 487 resolved binaries and upper detection limits for 112 unresolved ... More

Speckle interferometry at SOAR in 2015Mar 24 2016The results of speckle interferometric observations at the SOAR telescope in 2015 are given, totalling 1303 measurements of 924 resolved binary and multiple stars and non-resolutions of 260 targets. The separations range from 12 mas to 3.37" (median 0.17"); ... More

Speckle interferometry at SOAR in 2014Jun 18 2015The results of speckle interferometric observations at the SOAR telescope in 2014 are given. A total of 1641 observations were taken, yielding 1636 measurements of 1218 resolved binary and multiple stars and 577 non-resolutions of 441 targets. We resolved ... More

Observations of Hierarchical Solar-Type Multiple Star SystemsSep 02 2015Twenty multiple stellar systems with solar-type primaries were observed at high angular resolution using the PALM-3000 adaptive optics system at the 5 m Hale telescope. The goal was to complement the knowledge of hierarchical multiplicity in the solar ... More

SOAR Adaptive Module (SAM): seeing improvement with a UV laserAug 19 2016The adaptive module of the 4.1-m SOAR telescope, SAM, corrects ground-layer turbulence using a UV laser guide star. It has been commissioned in 2013 and it is in regular science operation since 2014. SAM works with the CCD imager covering a 3' field or ... More

Comparative statistics and origin of triple and quadruple starsJun 19 2008The statistics of catalogued quadruple stars consisting of two binaries (hierarchy 2+2) is studied in comparison with triple stars, with respective sample sizes of 81 and 724. Seven representative quadruple systems are discussed in greater detail. The ... More

Know the Star, Know the Planet. III. Discovery of Late-Type Companions to Two Exoplanet Host StarsMar 04 2015We discuss two multiple star systems that host known exoplanets: HD 2638 and 30 Ari B. Adaptive optics imagery revealed an additional stellar companion to both stars. We collected multi-epoch images of the systems with Robo-AO and the PALM-3000 adaptive ... More

Multiple stars: designation, catalogues, statisticsJan 23 2006Discussion of the designation of multiple-star components leads to a conclusion that, apart from components, we need to designate systems and centers-of-mass. The hierarchy is coded then by simple links to parent. This system is adopted in the multiple ... More

CHIRON - A Fiber Fed Spectrometer for Precise Radial VelocitiesSep 16 2013The CHIRON optical high-resolution echelle spectrometer was commissioned at the 1.5m telescope at CTIO in 2011. The instrument was designed for high throughput and stability, with the goal of monitoring radial velocities of bright stars with high precision ... More

Atmospheric coherence times in interferometry: definition and measurementOct 06 2006Current and future ground-based interferometers require knowledge of the atmospheric time constant t_0, but this parameter has diverse definitions. Moreover, adequate techniques for monitoring t_0 still have to be implemented. We derive a new formula ... More

The mass ratio distribution of B-type visual binaries in the Sco OB2 associationSep 25 2001The sample of 115 B-type stars in Sco OB2 association is examined for existence of visual companions with ADONIS near-infrared adaptive optics system and coronograph in J and K bands. Practically all components in the separation range 0.3"-6" (45-900 ... More

Donut: measuring optical aberrations from a single extra-focal imageJun 15 2006We propose a practical method to calculate Zernike aberrations from analysis of a single long-exposure defocused stellar image. It consists in fitting the aberration coefficients and seeing blur directly to a realistic image binned into detector pixels. ... More

Multiplicity in Early Stellar EvolutionMar 08 2014Observations from optical to centimeter wavelengths have demonstrated that multiple systems of two or more bodies is the norm at all stellar evolutionary stages. Multiple systems are widely agreed to result from the collapse and fragmentation of cloud ... More

Multigrid preconditioning of linear systems for semismooth Newton methods applied to optimization problems constrained by smoothing operatorsJun 01 2011Nov 07 2013This article is concerned with the question of constructing effcient multigrid preconditioners for the linear systems arising when applying semismooth Newton methods to large-scale linear-quadratic optimization problems constrained by smoothing operators ... More

Simple protocol for generating W states in resonator-based quantum computing architecturesMar 25 2012We describe a simple, practical scheme for generating multi-qubit W states in resonator-based architectures, in which N Josephson phase qubits are capacitively coupled to a common resonator bus. The entire control sequence consists of three pulses: a ... More

The multi-dimensional Hamiltonian Structures in the Whitham methodNov 25 2012Sep 30 2014In this paper we consider the averaging of local field-theoretic Poisson brackets in the multi-dimensional case. As a result, we construct a local Poisson bracket for the regular Whitham system in the multidimensional situation. The procedure is based ... More

Classical random field viewpoint to Gorini-Kossakowski-Sudarshan-Lindblad equation and its linear and nonlinear generalizationsMar 25 2013We show that the basic equation of theory of open systems, Gorini-Kossakowski-Sudarshan-Lindblad equation, as well as its linear and nonlinear generalizations have a natural classical probabilistic interpretation - in the framework of prequantum classical ... More

Born's rule from measurements of classical signals by threshold detectors which are properly calibratedMay 21 2011Jul 20 2011The very old problem of the statistical content of quantum mechanics (QM) is studied in a novel framework. The Born's rule (one of the basic postulates of QM) is derived from theory of classical random signals. We present a measurement scheme which transforms ... More

Totality of Subquantum Nonlocal CorrelationsFeb 23 2011In a series of previous papers we developed a purely field model of microphenomena, so called prequantum classical statistical field theory (PCSFT). This model not only reproduces important probabilistic predictions of QM including correlations for entangled ... More

Parallelism of quantum computations from prequantum classical statistical field theory (PCSFT)Mar 10 2008This paper is devoted to such a fundamental problem of quantum computing as quantum parallelism. It is well known that quantum parallelism is the basis of the ability of quantum computer to perform in polynomial time computations performed by classical ... More

A model of quantum-like decision-making with applications to psychology and cognitive scienceNov 08 2007We consider the following model of decision-making by cognitive systems. We present an algorithm -- quantum-like representation algorithm (QLRA) -- which provides a possibility to represent probabilistic data of any origin by complex probability amplitudes. ... More

Toward Psycho-robotsSep 13 2007We try to perform geometrization of psychology by representing mental states, <<ideas>>, by points of a metric space, <<mental space>>. Evolution of ideas is described by dynamical systems in metric mental space. We apply the mental space approach for ... More

Quantum-like Representation of Macroscopic ConfigurationsMay 26 2007The aim of this paper is to apply a contextual probabilistic model (in the spirit of Mackey, Gudder, Ballentine) to represent and to generalize some results of quantum logic about possible macroscopic quantum-like (QL) behaviour. The crucial point is ... More

Prequantum classical statistical model with infinite dimensional phase-spaceMay 31 2005Sep 12 2005We show that quantum mechanics can be represented as an asymptotic projection of statistical mechanics of classical fields. Thus our approach does not contradict to a rather common opinion that quantum mechanics could not be reduced to statistical mechanics ... More

$p$-adic discrete dynamical systems and their applications in physics and cognitive sciencesFeb 23 2004This review is devoted to dynamical systems in fields of $p$-adic numbers: origin of $p$-adic dynamics in $p$-adic theoretical physics (string theory, quantum mechanics and field theory, spin glasses), continuous dynamical systems and discrete dynamical ... More

Wigner's inequality for conditional probabilities and nonexistence of a realistic model for the two dimensional Hilbert spaceAug 14 2003Feb 15 2005We perform the analysis of probabilistic assumptions of Bell's approach. We emphasize that J. Bell wrote about probability without to specify the concrete axiomatics of probability theory. The careful analysis demonstrated that (surprisingly) J. Bell ... More

Comment on Hess-Philipp anti-Bell and Gill-Weihs-Zeilinger-Zukowski anti-Hess-Philipp argumentsMay 05 2002We present comparative analysis of Gill-Weihs-Zeilinger-Zukowski arguments directed against Hess-Philipp anti-Bell arguments. In general we support Hess-Philipp viewpoint to the sequence of measurements in the EPR-Bohm experiments as stochastic time-like ... More

`Quantum probabilities' as context depending probabilitiesJun 13 2001We study transformations of conventional (`classical') probabilities induced by context transitions. It is demonstrated that the transition from one complex of conditions to another induces a perturbation of the classical rule for the addition of probabilistic ... More

Foundations of Probability and Physics, Round tableJan 17 2001We present the summary of the general discussion on the probabilistic foundations of quantum theory that took place during the round table at the Int. Conf. "Foundations of Probability and Physics", V\"axj\"o, Sweden-2000. It is possible to find at http://www.msi.vxu.se/aktuellt/konferens/Roundtable.html ... More

On the mystery of quantum probabilistic rule: trigonometric and hyperbolic probabilistic behavioursNov 25 2000We demonstrate the quantum probabilistic rule (which differ from classical Bayes' formula by the cosinus factor) can be obtained on purely classical basis as a consequence of the perturbation effect of preparation procedures. In any case the interference ... More

Quantum-like Representation Algorithm: Transformation of Probabilistic Data into vectors on Bloch's SphereMar 10 2008In this paper we present a simple algorithm for representation of statistical data of any origin by complex probability amplitudes. Numerical simulation with Mathematica-6 is performed. The Bloch's sphere is used for visualization of results of numerical ... More

The role of von Neumann and Lüders postulates in the EPR-Bohm-Bell considerations: Did EPR make a mistake?Jan 02 2008Jun 01 2008We show that the projection postulate plays a crucial role in the discussion on the so called "quantum nonlocality", in particular in the EPR-argument. We stress that the original von Neumann projection postulate was crucially modified by extending it ... More

On the problem of hidden variables for quantum field theoryApr 23 2006We show that QFT (as well as QM) is not a complete physical theory. We constructed a classical statistical model inducing quantum field averages. The phase space consists of square integrable functions, $f(\phi),$ of the classical bosonic field, $\phi(x).$ ... More

Nonlinear Schrödinger equations from prequantum classical statistical field theoryFeb 25 2006Apr 23 2006We derive some important features of the standard quantum mechanics from a certain classical-like model -- prequantum classical statistical field theory, PCSFT. In this approach correspondence between classical and quantum quantities is established through ... More

Generalized probabilities taking values in non-Archimedean fields and topological groupsDec 18 2005We develop an analogue of probability theory for probabilities taking values in topological groups. We generalize Kolmogorov's method of axiomatization of probability theory: main distinguishing features of frequency probabilities are taken as axioms ... More

On the notion of a macroscopic quantum systemAug 26 2004Sep 21 2005It is proposed to define "quantumness" of a system (micro or macroscopic, physical, biological, social, political) by starting with understanding that quantum mechanics is a statistical theory. It says us only about probability distributions. The only ... More

Event-independence, collective-independence,EPR-Bohm experiment and incompleteness of quantum mechanicsMay 14 2002We analyse notion of independence in the EPR-Bohm framework by using comparative analysis of independence in conventional and frequency probability theories. Such an analysis is important to demonstrate that Bell's inequality was obtained by using totally ... More

Interference of probabilities and number field structure of quantum modelsJul 26 2001We study the probabilistic consequences of the choice of the basic number field in quantum formalism. We demonstrate that by choosing a number field for a linear space representation of quantum model it is possible to describe various interference phenomena. ... More

Kolmogorov and von Mises viewpoints to the Greenburger-Horne-Zeilinger paradoxJun 04 2000We present comparative probabilistic analysis of the Greenburger-Horne-Zeilinger paradox in the frameworks of Kolmogorov's (measure-theoretical) and von Mises' (frequency) models of the probability theory. This analysis demonstrated that the GHZ paradox ... More

F-theory compactifications on manifolds with SU(3) structureDec 09 2011In this paper we derive part of the low energy action corresponding to F-theory compactifications on specific eight manifolds with SU(3) structure. The setup we use can actually be reduced to compactification of six-dimensional supergravity coupled to ... More

Heterotic type IIA duality with fluxes - towards the complete storySep 13 2010Sep 20 2010In this paper we study the heterotic type IIA duality when fluxes are turned on. We show that many of the known fluxes are dual to each other and claim that certain fluxes on the heterotic side require that the type IIA picture is lifted to M or even ... More

Universal R-matrix for null-plane quantized Poincar{é} algebraNov 03 1997Dec 01 1997The universal ${\cal R}$--matrix for a quantized Poincar{\'e} algebra ${\cal P}(3+1)$ introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non-standard (Jordanian) ... More

Sinks in the Landscape, Boltzmann Brains, and the Cosmological Constant ProblemNov 06 2006Jan 28 2007This paper extends the recent investigation of the string theory landscape in hep-th/0605266, where it was found that the decay rate of dS vacua to a collapsing space with a negative vacuum energy can be quite large. The parts of space that experience ... More

Towards a gauge invariant volume-weighted probability measure for eternal inflationMay 08 2007May 20 2007An improved volume-weighted probability measure for eternal inflation is proposed. For the models studied in this paper it leads to simple and intuitively expected gauge-invariant results.

Quantum Creation of an Open Inflationary UniverseFeb 17 1998May 25 1998We discuss a dramatic difference between the description of the quantum creation of an open universe using the Hartle-Hawking wave function and the tunneling wave function. Recently Hawking and Turok have found that the Hartle-Hawking wave function leads ... More

Monopoles as Big as a UniverseFeb 11 1994We show that, contrary to the standard belief, primordial monopoles expand exponentially during inflation in the new inflationary universe scenario. Moreover, inflation of monopoles continues without an end even when inflation ends in the surrounding ... More

Recent and Future Measurements of the Neutron Electric Form FactorAug 18 2010I review recently conducted measurements of $\gen$ as well as precision form factor experiments at high momentum transfer that will be performed with the 11 GeV electron beam at Jefferson Lab.

On critical dimension in spherical black brane phase transitionSep 20 2012We study the Gregory-Laflamme instability of a large uniform black brane wrapping a two-sphere compactification manifold. This paper extends the work arXiv:hep-th/0604015, where the compactifications on p-torus were considered. The new features of the ... More

A study of the pi^0pi^0 system produced in charge exchange and central collisionsNov 01 1998A study of the $\pi^0\pi^0$ system produced in charge exchange $\pi^-p$ collisions at 38 and 100 GeV/c and in central $pp$ interactions at 450 GeV/c has been carried out. The $S$ wave has rather a complicated structure in both processes indicating the ... More

Pure spinors in AdS and Lie algebra cohomologyJul 10 2012Aug 23 2013We show that the BRST cohomology of the massless sector of the Type IIB superstring on AdS5xS5 can be described as the relative cohomology of an infinite-dimensional Lie superalgebra. We explain how the vertex operators of ghost number 1, which correspond ... More

Random Matrices and Random PermutationsMar 30 1999Apr 19 2000We prove the conjecture of Baik, Deift, and Johansson which says that with respect to the Plancherel measure on the set of partitions of $n$, the 1st, 2nd, and so on, rows behave, suitably scaled, like the 1st, 2nd, and so on, eigenvalues of a Gaussian ... More

Identity and CategorificationSep 26 2005Feb 15 2006In the paper I check approaches to identity in mathematics by Plato, Frege, and Geach against Category theory.

Certain inequalities involving prolate spheroidal wave functions and associated quantitiesJun 18 2012Prolate spheroidal wave functions (PSWFs) play an important role in various areas, from physics (e.g. wave phenomena, fluid dynamics) to engineering (e.g. signal processing, filter design). Even though the significance of PSWFs was realized at least half ... More

Bounds for the order for p-elementary subgroups in the plane Cremona group over a perfect fieldJun 15 2010We obtain a sharp bound for p-elementary subgroups in the plane Cremona group over an arbitrary perfect field.

Physical properties of blazar jets from VLBI observationsOct 14 2010(abridged) Relativistic jets, formed in the vicinity of central supermassive black holes in AGN, show ample evidence connecting them to physical conditions in the accretion disc and broad-line region. The jets are responsible for a large fraction of non-thermal ... More

An improved convergence theorem for the Newton method under relaxed continuity assumptionsMar 12 2015In the framework of the majorization technique, an improved condition is proposed for the semilocal convergence of the Newton method under the mild assumption that the derivative of the involved operator F(x) is continuous. Our starting point is the Argyros ... More

On the definition of Suzuki groups over ringsJan 08 2018The definition of Suzuki groups over rings is given by means of an explicit description as a difference-algebraic group. For a (not necessarily perfect) field with more than two elements this construction produces a simple group.

Products of Sylow subgroups in Suzuki and Ree groupsJan 21 2015Feb 18 2015An explicit and elementary proof is given to the fact that Suzuki and Ree groups can be decomposed into the product of 4 of their Sylow p-subgroups, where p is the defining characterictic.

Hecke correspondences for smooth moduli spaces of sheavesApr 10 2018We define functors on the derived category of the moduli space M of stable sheaves on a smooth projective surface (under Assumptions A and S below), and prove that these functors satisfy certain relations. These relations allow us to prove that the given ... More

Finite dimensional vertexMay 11 2011Nov 18 2011The spectrum of linearized excitations of the Type IIB SUGRA on AdS5xS5 contains both unitary and non-unitary representations. Among the non-unitary, some are finite-dimensional. We explicitly construct the pure spinor vertex operators for a family of ... More

Quiver Grassmannians and their Euler characteristics: Oberwolfach talk, May 2010Jun 04 2010This is an extended abstract of my talk at the Oberwolfach Workshop "Interactions between Algebraic Geometry and Noncommutative Algebra" (May 10 - 14, 2010). We present some properties of quiver Grassmannians and examples of explicit computations of their ... More

The pseudo-effective cone of a non-Kählerian surface and applicationsApr 23 2007Jun 30 2007We describe the positive cone and the pseudo-effective cone of a non-K\"ahlerian surface. We use these results for two types of applications: - Describe the set $\sigma(X)$ of possible total Ricci scalars associated with Gauduchon metrics of fixed volume ... More

Lectures on Inflationary CosmologyOct 12 1994A general overview of the history and present status of inflationary cosmology is given. Recent developments discussed in this paper include the hybrid inflation scenario, the theory of reheating, and the theory of inflating tolopogical defects. We also ... More

Inflation, Quantum Cosmology and the Anthropic PrincipleNov 07 2002Nov 08 2002Anthropic principle can help us to understand many properties of our world. However, for a long time this principle seemed too metaphysical and many scientists were ashamed to use it in their research. I describe here a justification of the weak anthropic ... More

Inflation and String CosmologyJul 20 2001Inflationary theory is already 20 years old, and it is impossible to describe all of its versions and implications in a short talk. I will concentrate on several subjects which I believe to be most important. First of all, I will give a brief review of ... More

On periodic solutions of a Hamilton-Jacobi equation with periodic forcingJun 23 1999Feb 09 2001We prove that a Hamilton-Jacobi equation in 1D with periodic forcing has a set of generalized solutions such that each solution is a sum of linear and continuous periodic functions; we also give a condition of uniqueness of this solution in terms of Aubry-Mather ... More

Moduli spaces of PU(2)-monopolesFeb 07 1997Nov 12 2013The goal of this article was the S^1-equivariant transversality-problem and the compactification-problem for the moduli spaces of (perturbed) PU(2)-monopoles. A substantially improved version entitled "Moduli spaces of PU(2)-monopoles (revised version)" ... More

Non-abelian Seiberg-Witten theory and projectively stable pairsSep 26 1996Jun 02 1997We introduce the concept of Spin^G-structure in a SO-bundle, where $G\subset U(V)$ is a compact Lie group containing $-id_V$. We study and classify $Spin^G(4)$-structures on 4-manifolds, we introduce the G-Monopole equations associated with a $Spin^G$-structure. ... More

Vaxjo Interpretation of Wave Function: 2012Oct 07 2012We discuss the problem of interpretation of the wave function. The latest version of the V\"axj\"o interpretation is presented. It differs essentially from the original V\"axj\"o interpretation (2001). The main distinguishing feature of the present V\"axj\"o ... More

Quantum-like model of processing of information in the brain based on classical electromagnetic fieldNov 28 2010We propose a model of quantum-like (QL) processing of mental information. This model is based on quantum information theory. However, in contrast to models of "quantum physical brain" reducing mental activity (at least at the highest level) to quantum ... More

Design of an Experiment to Test Quantum Probabilistic Behavior of the Financial marketFeb 11 2009The recent crash demonstrated (once again) that the description of the financial market by present financial mathematics cannot be considered as totally satisfactory. We remind that nowadays financial mathematics is heavily based on the use of random ... More

Quantum mechanics for military officersSep 17 2006We present a trivial probabilistic illustration for representation of quantum mechanics as an algorithm for approximative calculation of averages.

Prequantum classical statistical model with infinite dimensional phase-space-2: complex representation of symplectic phase-space modelMay 31 2005We show that QM can be represented as a natural projection of a classical statistical model on the phase space $\Omega= H\times H,$ where $H$ is the real Hilbert space. Statistical states are given by Gaussian measures on $\Omega$ having zero mean value ... More

Probabilistic foundations of quantum mechanics and quantum informationSep 08 2003We discuss foundation of quantum mechanics (interpretations, superposition, principle of complementarity, locality, hidden variables) and quantum information theory.

No "No-Go"Aug 29 2003In spite of the very common opinion we show that QM is not complete and that it is possible to create prequantum models providing finer description of physical reality than QM. There exists (at least in theoretical models) dispersion free states and the ... More

Fundamental Principle for Quantum TheoryApr 02 2002Mar 06 2003We propose the principle, the law of statistical balance for basic physical observables, which specifies quantum statistical theory among all other statistical theories of measurements. It seems that this principle might play in quantum theory the role ... More

Classical and quantum mechanics on information spaces with applications to cognitive, psychological, social and anomalous phenomenaMar 04 2000We use the system of p-adic numbers for the description of information processes. Basic objects of our models are so called transformers of information, basic processes are information processes, the statistics are information statistics (thus we present ... More