Results for "Victor I. Kolobov"

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Weak, Strong and Linear Convergence of a Double-Layer Fixed Point AlgorithmMar 28 2017In this article we consider a consistent convex feasibility problem in a real Hilbert space defined by a finite family of sets $C_i$. We are interested, in particular, in the case where for each $i$, $C_i=Fix (U_i)=\{z\in \mathcal H\mid p_i(z)=0\}$, $U_i\colon\mathcal ... More
Finitely Convergent Deterministic and Stochastic Methods for Solving Convex Feasibility ProblemsMay 14 2019We propose finitely convergent methods for solving convex feasibility problems defined over a possibly infinite pool of constraints. Following other works in this area, we assume that the interior of the solution set is nonempty and that certain overrelaxation ... More
Linear Convergence Rates for Extrapolated Fixed Point AlgorithmsMay 10 2018We establish linear convergence rates for a certain class of extrapolated fixed point algorithms which are based on dynamic string-averaging methods in a real Hilbert space. This applies, in particular, to the extrapolated simultaneous and cyclic cutter ... More
Fast and Simple Deterministic Algorithms for Highly-Dynamic NetworksJan 13 2019This paper provides a surprisingly simple method for obtaining fast (constant amortized time) deterministic distributed algorithms for a highly-dynamic setting, in which arbitrarily many edge changes may occur in each round. Among the implications of ... More
Observation of thermal Hawking radiation at the Hawking temperature in an analogue black holeSep 04 2018Sep 14 2018We measure the correlation spectrum of the Hawking radiation emitted by an analogue black hole and find it to be thermal at the Hawking temperature implied by the analogue surface gravity. The Hawking radiation is in the regime of linear dispersion, in ... More
Squeezed-light source for the superresolving microscopyJan 06 2004We propose a source of multimode squeezed light that can be used for the superresolving microscopy beyond the standard quantum limit. This source is an optical parametric amplifier with a properly chosen diaphragm on its output and a Fourier lens. We ... More
Electrostatic PIC with adaptive Cartesian meshApr 26 2016We describe an initial implementation of an electrostatic Particle-in-Cell (ES-PIC) module with adaptive Cartesian mesh in our Unified Flow Solver framework. Challenges of PIC method with cell-based adaptive mesh refinement (AMR) are related to a decrease ... More
Generation of monocycle squeezed light in chirped quasi-phase-matched nonlinear crystalsMar 23 2017We present a quantum theory of parametric down-conversion of light in chirped quasi-phase-matched second-order nonlinear crystals with undepleted quasi-monochromatic pump. This theory allows us to consider generation of ultrabroadband squeezed states ... More
Towards single-cycle squeezing in chirped quasi-phase-matched optical parametric down-conversionMay 06 2013We propose a method for generation of a single-cycle squeezed light by parametric down-conversion in a chirped quasi-phase-matched nonlinear crystal. We find an exact quantum solution for this process valid for an arbitrary parametric gain, and discover ... More
Adaptive Kinetic-Fluid Models for Expanding PlasmasJan 15 2018We describe gas dynamic and plasma effects for transient plasma jets under different conditions. Our Unified Flow Solver (UFS) is evaluated for simulations of mixed continuum-rarefied flows, transient gas expansion dynamics and collisionless plasma expansion. ... More
Quantum effects of operator time ordering in the nonlinear Jaynes-Cummings modelSep 12 2018Recently, in [Phys. Rev. A 97, 043806 (2018)], the detuned and nonlinear Jaynes-Cummings model describing the quantized motion of a trapped ion was introduced and its corresponding dynamics was solved via considering the driving laser in a quantized manner. ... More
Kinetic Solvers with Adaptive Mesh in Phase SpaceApr 11 2013Oct 18 2013An Adaptive Mesh in Phase Space (AMPS) methodology has been developed for solving multi-dimensional kinetic equations by the discrete velocity method. A Cartesian mesh for both configuration (r) and velocity (v) spaces is produced using a tree of trees ... More
Influence of the Magnetic Field on Oscillation Spectra in Solar FaculaeJul 07 2016Jul 15 2016In this work, we studied oscillation parameters in faculae above magnetic knots and in the adjacent to them areas. Using SDO data we analysed oscillations in magnetic strength, Doppler velocity, and intensity signals for the lower photosphere, and in ... More
Quantum temporal imaging: application of a time lens to quantum opticsApr 02 2017We consider application of a temporal imaging system, based on the sum-frequency generation, to a nonclassical, in particular, squeezed optical temporal waveform. We analyze the restrictions on the pump and the phase matching condition in the summing ... More
Quantum Holographic Teleportation of Light FieldsJul 10 2000We describe a continious variable teleportation scheme that allows to teleport the quantum state of distributed in space-time multimode electromagnetic field. Our teleportation protocol uses the spatially-multimode entangled Einstein-Podolsky-Rosen lihgt ... More
A Discontinuous Galerkin Time-Domain Method with Dynamically Adaptive Cartesian Meshes for Computational ElectromagneticsApr 26 2016A discontinuous Galerkin time-domain (DGTD) method based on dynamically adaptive Cartesian meshes (ACM) is developed for a full-wave analysis of electromagnetic fields in dispersive media. Hierarchical Cartesian grids offer simplicity close to that of ... More
Entanglement of quantum circular states of lightFeb 25 2016We present a general approach to calculating the entanglement of formation for superpositions of two-mode coherent states, placed equidistantly on a circle in the phase space. We show that in the particular case of rotationally-invariant circular states ... More
Quantum correlations and non-classicality in a system of two coupled vertical external cavity surface emitting lasersSep 23 2014Jan 08 2015Here we demonstrate that photocurrent noise reduction below the standard quantum limit and modal anticorrelation can arise in two mode coupled two-VECSEL system with common pump. This effect occurs due to correlated loss of laser modes. It is possible ... More
Mechanisms of rogue wave formationMar 26 2009Freak waves, or rogue waves, are one of the fascinating manifestations of the strength of nature. These devastating walls of water appear from nowhere, are short-lived and extremely rare. Despite the large amount of research activities on this subject, ... More
Controlling induced coherence for quantum imagingFeb 24 2017Induced coherence in parametric down-conversion between two coherently pumped nonlinear crystals that share a common idler mode can be used as an imaging technique. Based on the interference between the two signal modes of the crystals, an image can be ... More
Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivitySep 06 2018We introduce a new distance-based measure for the nonclassicality of the states of a bosonic field, which outperforms the existing such measures in several ways. We define for that purpose the operator ordering sensitivity of the state which evaluates ... More
Transition nucleon resonance electrocouplings from CLAS data on $π^{+}π^{-}p$ electroproduction off protonsOct 04 2010Electrocouplings of excited proton states with masses less than 1.8 GeV were determined for the first time from the CLAS data on $\pi^+\pi^-p$ electroproduction at photon virtualities $Q^2$ $<$ 1.5 GeV$^2$. Electrocouplings were obtained from a combined ... More
New Method for Building Geodesic Lines in Riemann GeometryAug 08 2016New perspective form of equations for geodesic lines in Riemann Geometry was found. This method is based on the use of differential forms in differential equations as arguments of differentiation. At that, these forms do not have a requirement of completeness, ... More
Nucleon Resonance Structure from Exclusive Meson Electroproduction with CLASJan 29 2018Feb 01 2018Studies of the nucleon resonance electroexcitation amplitudes in a wide range of photon virtualities offer unique information on many facets of strong QCD behind the generation of all prominent excited nucleon states. Advances in the evaluation of resonance ... More
Superconducting fluctuations at low temperatureNov 09 2000The effect of fluctuations on the transport and thermodynamic properties of two-dimensional superconductors in a magnetic field is studied at low temperature. The fluctuation conductivity is calculated in the framework of the perturbation theory with ... More
Broadband bright twin beams and their up-conversionOct 23 2017Oct 24 2017We report on the observation of broadband (40 THz) bright twin beams through high-gain parametric down-conversion in an aperiodically poled lithium niobate crystal. The output photon number is shown to scale exponentially with the pump power and not with ... More
Koszul incidence algebras, affine semigroups, and Stanley-Reisner idealsApr 10 2009Feb 07 2010We prove a theorem unifying three results from combinatorial homological and commutative algebra, characterizing the Koszul property for incidence algebras of posets and affine semigroup rings, and characterizing linear resolutions of squarefree monomial ... More
Coupled mode parametric resonance in a vibrating screen modelAug 20 2013We consider a simple dynamic model of the vibrating screen operating in the parametric resonance (PR) mode. This model was used in the course of designing and setting of such a screen in LPMC. The PR-based screen compares favorably with conventional types ... More
Neutron scattering and superconducting order parameter in YBa2Cu3O7Feb 06 1995Apr 25 1996We discuss the origin of the neutron scattering peak at 41 meV observed in YBa$_2$Cu$_3$O$_7$ below $T_c$. The peak may occur due to spin-flip electron excitations across the superconducting gap which are enhanced by the antiferromagnetic interaction ... More
ArduSoar: an Open-Source Thermalling Controller for Resource-Constrained AutopilotsFeb 22 2018Aug 21 2018Autonomous soaring capability has the potential to significantly increase time aloft for fixed-wing UAVs. In this paper, we introduce ArduSoar, the first soaring controller integrated into a major autopilot software suite for small UAVs. We describe ArduSoar ... More
Boltzmann-Fokker-Planck Kinetic Solver with Adaptive Mesh in Phase SpaceOct 22 2018Feb 19 2019We describe the implementation of kinetic solvers in 1d2v phase space using adaptive Cartesian mesh. Spherical coordinates in velocity space are used to simplify the Lorentz and Fokker-Planck collisional operators. The key capabilities of the new solvers ... More
Trapping of Atoms by the Counter-Propagating Stochastic Light WavesOct 06 2016We show that the field of counter-propagating stochastic light waves, one of which repeats the other, can form an one-dimension trap for atoms. The confinement of an ensemble of atoms in the trap and their simultaneous cooling can be achieved without ... More
Asymmetric universal entangling machineDec 23 2004We give a definition of asymmetric universal entangling machine which entangles a system in an unknown state to a specially prepared ancilla. The machine produces a fixed state-independent amount of entanglement in exchange to a fixed degradation of the ... More
CRYSTAL Simulation Code and New Coherent Effects in Bent Crystal at the LHCNov 29 2014The LHC crystal-based collimation system is mainly addressed. A CRYSTAL simulation code for particle tracking in crystals is introduced. Its essence consists in both adequate and fast sampling of proton trajectories in crystals which is crucial for both ... More
Capture of atoms and small particles in an optical trap formed by sequences of counter-propagating light pulses with a large areaSep 29 2012A new trap for atoms and small particles based on the interaction between an atom and the field of counter-propagating light pulses that are partially superposed in time has been proposed. A substantial difference from the known analogs consists in that ... More
To the positive miscut influence on the crystal collimation efficiencySep 23 2011Sep 26 2011The paper concerns the crystal based collimation suggested to upgrade the Large Hadron Collider collimation system. The issue of collimation efficiency dependence on the muscut angle characterizing nonparallelity of the channeling planes and crystal surface ... More
Information metric from Riemannian superspacesJun 11 2012The Fisher's information metric is introduced in order to find the real meaning of the probability distribution in classical and quantum systems described by Riemaniann non-degenerated superspaces. In particular, the physical r\^{o}le played by the coefficients ... More
Decays of Pentaquarks in Hadrocharmonium and Molecular PicturesNov 05 2018Dec 31 2018We consider decays of the hidden charm LHCb pentaquarks in the hadrocharmonium and molecular scenarios. In both pictures the LHCb pentaquarks are essentially nonrelativistic bound states. We develop a semirelativistic framework for calculation of the ... More
Semiempirical charge distribution of clusters in the ion sputtering of metalNov 24 1999Nov 25 1999We propose the generalization of a known established empirically (Wahl W. and Wucher A. Nucl. Instrum. Meth. B 94, 36(1994)) power law, describing relative mass-spectra of neutral sputtered clusters, on the cases of arbitrary cluster charges. The fluctuation ... More
Spectral stability of higher order uniformly elliptic operatorsApr 12 2012We prove estimates for the variation of the eigenvalues of uniformly elliptic operators with homogeneous Dirichlet or Neumann boundary conditions upon variation of the open set on which an operator is defined. We consider operators of arbitrary even order ... More
Artificial gauge fields with ultracold atomsJan 11 2019Gauge fields are ubiquitous in nature. In the context of quantum electrodynamics, you may be most familiar with the photon, which represents the gauge field mediating electromagnetic forces. But there are also gluons, which mediate strong forces, and ... More
Representations of simple finite Lie conformal superalgebras of type W and SMar 23 2010May 11 2010We construct all finite irreducible modules over Lie conformal superalgebras of type W and S.
Computer Simulation of Electronic Device for Generation of Electric Oscillations by Negative Differential Conductivity of Supercooled Nanostructured Superconductors in Electric FieldDec 20 2018We use the formerly derived explicit analytical expressions for the conductivity of nanostructured superconductors supercooled below the critical temperature in electric field. Computer simulations reveal that the negative differential conductivity region ... More
New LHCb pentaquarks as hadrocharmonium statesApr 25 2019New LHCb Collaboration results on pentaquarks with hidden charm [1] are discussed. These results fit nicely in the hadrocharmonium pentaquark scenario [2,3]. In the new data the old LHCb pentaquark $P_c(4450)$ splits into two states $P_c(4440)$ and $P_c(4457)$. ... More
Topological properties of linear circuit latticesOct 06 2014Mar 10 2015Motivated by the topologically insulating (TI) circuit of capacitors and inductors proposed and tested in arXiv:1309.0878, we present a related circuit with less elements per site. The normal mode frequency matrix of our circuit is unitarily equivalent ... More
Nucleation of plasmonic resonance nanoparticlesMay 17 2012May 18 2012We predict the electromagnetic field driven nucleation of nanoparticles that provide plasmonic oscillations in resonance with the field frequency. The oscillations assume a phase that maximizes the particle polarization and energy gain due to nucleation. ... More
Circular Wilson loops in defect Conformal Field TheoryDec 23 2016Feb 15 2017We study a D3-D5 system dual to a conformal field theory with a codimension-one defect that separates regions where the ranks of the gauge groups differ by $k$. With the help of this additional parameter, as observed by Nagasaki, Tanida and Yamaguchi, ... More
Bloch-Messiah decomposition and Magnus expansion for parametric down-conversion with monochromatic pumpJun 25 2018We discuss the Bloch-Messiah decomposition for the broadband squeezed light generated by type-I parametric down-conversion with monochromatic pump. Using an exact solution for this process, we evaluate the squeezing parameters and the corresponding squeezing ... More
Large Coherence Area Thin-Film Photonic Stop-Band LasersSep 29 2000We demonstrate that the shift of the stop band position with increasing oblique angle in periodic structures results in a wide transverse exponential field distribution corresponding to strong angular confinement of the radiation. The beam expansion follows ... More
Diving Deep into Sentiment: Understanding Fine-tuned CNNs for Visual Sentiment PredictionAug 20 2015Aug 24 2015Visual media are powerful means of expressing emotions and sentiments. The constant generation of new content in social networks highlights the need of automated visual sentiment analysis tools. While Convolutional Neural Networks (CNNs) have established ... More
Classification of finite irreducible modules over the Lie conformal superalgebra CK6Oct 18 2011We classify all continuous degenerate irreducible modules over the exceptional linearly compact Lie superalgebra E(1, 6), and all finite degenerate irreducible modules over the exceptional Lie conformal superalgebra CK6, for which E(1, 6) is the annihilation ... More
On-chip spectropolarimetry by fingerprinting with random surface arrays of nanoparticlesSep 22 2017Optical metasurfaces revolutionized the approach to moulding the propagation of light by enabling simultaneous control of the light phase, momentum, amplitude and polarization. Thus, instantaneous spectropolarimetry became possible by conducting parallel ... More
An improved design of an inductive fault current limiter based on a superconducting cylinderMar 21 2010The paper deals with basic designs of a fault current limiter of the transformer type which differ each other by the mutual location of a primary winding and a superconducting short-circuited cylinder. Theoretical study of the main parameters of the different ... More
A writer-independent approach for offline signature verification using deep convolutional neural networks featuresJul 26 2018The use of features extracted using a deep convolutional neural network (CNN) combined with a writer-dependent (WD) SVM classifier resulted in significant improvement in performance of handwritten signature verification (HSV) when compared to the previous ... More
Embedded Topological InsulatorsFeb 19 2018We present a generalization of free fermionic topological insulators that are composed of topological subsystems of differing dimensionality. We specifically focus on topological subsystems of nonzero co-dimension are embedded within a trivial insulating ... More
Phenomenological interpretations of the ac Hall effect in the normal state of YBa2Cu3O7Jun 03 1997Dec 08 1997Ac and dc magnetotransport data in the normal state of YBa2Cu3O7 are analyzed within Fermi-liquid and non-Fermi-liquid models. In the Fermi-liquid analysis we use the Fermi surface deduced from band structure calculations and angular resolved photoemission ... More
Enhancement of Coherent Phonon Amplitude in Phase-change Materials by Near-infrared Laser IrradiationSep 08 2017We have examined the effect of pump-probe photon energy on the amplitude of coherent optical phonons in a prototypical phase change material using a femtosecond time-resolved transmission technique. The photon energy was varied between 0.8 and 1.0 eV ... More
Raman scattering study of the a-GeTe structure and possible mechanism for the amorphous-to-crystal transitionFeb 07 2006We report on an inelastic (Raman) light scattering study of the local structure of amorphous GeTe films. A detailed analysis of the temperature-reduced Raman spectra has shown that appreciable structural changes occur as a function of temperature. These ... More
Disentangling Motion, Foreground and Background Features in VideosJul 13 2017Jul 17 2017This paper introduces an unsupervised framework to extract semantically rich features for video representation. Inspired by how the human visual system groups objects based on motion cues, we propose a deep convolutional neural network that disentangles ... More
A correspondence between modified gravity and General Relativity with scalar fieldsOct 09 2018Jan 22 2019We describe a novel procedure to map the field equations of nonlinear Ricci-based metric-affine theories of gravity, coupled to scalar matter described by a given Lagrangian, into the field equations of General Relativity coupled to a different scalar ... More
Femtosecond structural transformation of phase-change materials far from equilibrium monitored by coherent phononsSep 28 2015Multi-component chalcogenides, such as quasi-binary GeTe-Sb$_{2}$Te$_{3}$ alloys, are widely used in optical data storage media in the form of rewritable optical discs. Ge$_{2}$Sb$_{2}$Te$_{5}$ (GST) in particular has proven to be one of the best-performing ... More
Polarization Dependent Optical Control of Atomic Arrangement in Multilayer Ge-Sb-Te Phase Change MaterialsNov 22 2012We report the optical perturbation of atomic arrangement in the layered GeTe/Sb_{2}Te_{3} phase change memory material. To observe the structural change, the coherent A_{1} mode of GeTe_{4} local structure is investigated at various polarization angles ... More
Peculiarity of the oscillation stratification in sunspot penumbraeJul 21 2016Spatial distributions of the dominant oscillation frequency obtained for four sunspots show a feature shared by all the analysed levels of the solar atmosphere in these sunspots. This feature located in the inner penumbrae indicates that this region has ... More
Tripartite entanglement in parametric down-conversion with spatially-structured pumpFeb 09 2010Most investigations of multipartite entanglement have been concerned with temporal modes of the electromagnetic field, and have neglected its spatial structure. We present a simple model which allows to generate tripartite entanglement between spatial ... More
Quantum teleportation of qudits by means of generalised quasi-Bell states of lightFeb 27 2019Quantum superpositions of coherent states are produced both in microwave and optical domains, and are considered realizations of the famous "Schr\"odinger cat" state. The recent progress shows an increase in the number of components and the number of ... More
Abelian Tensor Models on the LatticeMay 04 2017May 07 2018We consider a chain of Abelian Klebanov-Tarnopolsky fermionic tensor models coupled through quartic nearest-neighbor interactions. We characterize the gauge-singlet spectrum for small chains ($L=2,3,4,5$) and observe that the spectral statistics exhibits ... More
New bounds on neutrino electric millicharge from GEMMA experiment on neutrino magnetic momentNov 09 2014Using the new limit on the neutrino anomalous magnetic moment recently obtained by GEMMA experiment we get an order-of-magnitude estimation for possible new direct upper bound on the neutrino electric millicharge $\mid q_{\nu} \mid \sim 1.5 \times 10^{-12} ... More
Optical Pulse Dynamics in Active Metamaterials with Positive and Negative Refractive IndexFeb 01 2013We study numerically the propagation of two-color light pulses through a metamaterial doped with active atoms such that the carrier frequencies of the pulses are in resonance with two atomic transitions in the $\Lambda$ configuration and that one color ... More
Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted IndexJan 26 2017Feb 06 2017We compute the topologically twisted index for general $\mathcal{N} = 2$ supersymmetric field theories on $\mathbb{H}_2\times S^1$. We also discuss asymptotically $AdS_4$ magnetically charged black holes with hyperbolic horizon, in four-dimensional $\mathcal{N} ... More
Kinetic theory of dark solitons with tunable frictionMar 02 2017May 04 2017We study controllable friction in a system consisting of a dark soliton in a one-dimensional Bose-Einstein condensate coupled to a non-interacting Fermi gas. The fermions act as impurity atoms, not part of the original condensate, that scatter off of ... More
Recurrent Neural Networks for Semantic Instance SegmentationDec 02 2017Sep 03 2018We present a recurrent model for semantic instance segmentation that sequentially generates binary masks and their associated class probabilities for every object in an image. Our proposed system is trainable end-to-end from an input image to a sequence ... More
Stable propagation of pulsed beams in Kerr focusing media with modulated dispersionJul 15 2004We propose the modulation of dispersion to prevent collapse of planar pulsed beams which propagate in Kerr-type self-focusing optical media. As a result, we find a new type of two-dimensional spatio-temporal solitons stabilized by dispersion management. ... More
Influence of the Core/Shell Interface on Biexciton Auger Recombination in Individual Nanocrystal Quantum DotsJul 16 2013Sep 20 2013Previous single-particle spectroscopic studies of colloidal quantum dots have indicated a significant spread in biexciton lifetimes across an ensemble of nominally identical nanocrystals. It has been speculated that in addition to dot-to-dot variation ... More
Recurrent Neural Networks for Semantic Instance SegmentationDec 02 2017Apr 12 2019We present a recurrent model for semantic instance segmentation that sequentially generates binary masks and their associated class probabilities for every object in an image. Our proposed system is trainable end-to-end from an input image to a sequence ... More
Room temperature coherent spin alignment of silicon vacancies in 4H- and 6H-SiCFeb 27 2012Jun 08 2012We report the realization of the optically induced inverse population of the ground-state spin sublevels of the silicon vacancies ($V_{\mathrm{Si}}$) in silicon carbide (SiC) at room temperature. The data show that the probed silicon vacancy spin ensemble ... More
Picosecond energy transfer in quantum dot Langmuir-Blodgett nanoassembliesOct 06 2003We study spectrally resolved dynamics of Forster energy transfer in single monolayers and bilayers of semiconductor nanocrystal quantum dots assembled using Langmuir-Blodgett (LB) techniques. For a single monolayer, we observe a distribution of transfer ... More
Tunable magnetic exchange interactions in manganese-doped inverted core/shell ZnSe/CdSe nanocrystalsNov 06 2008Magnetic doping of semiconductor nanostructures is actively pursued for applications in magnetic memory and spin-based electronics. Central to these efforts is a drive to control the interaction strength between carriers (electrons and holes) and the ... More
Transient Spectroscopy of Glass-Embedded Perovskite Quantum Dots: Novel Structures in an Old WrappingDec 03 2018Semiconductor doped glasses had been used by the research and engineering communities as color filters or saturable absorbers well before it was realized that their optical properties were defined by tiny specs of semiconductor matter known presently ... More
More cat than cute? Interpretable Prediction of Adjective-Noun PairsAug 21 2017The increasing availability of affect-rich multimedia resources has bolstered interest in understanding sentiment and emotions in and from visual content. Adjective-noun pairs (ANP) are a popular mid-level semantic construct for capturing affect via visually ... More
Quantum teleportation of optical images with frequency conversionFeb 24 2006We describe a new version of continuous variables quantum holographic teleportation of optical images. Unlike the previously proposed scheme, it is based on the continuous variables quantum entanglement between the light fields of different frequencies ... More
Skip RNN: Learning to Skip State Updates in Recurrent Neural NetworksAug 22 2017Feb 05 2018Recurrent Neural Networks (RNNs) continue to show outstanding performance in sequence modeling tasks. However, training RNNs on long sequences often face challenges like slow inference, vanishing gradients and difficulty in capturing long term dependencies. ... More
SCORPIO-2 Guiding and Calibration System in the Prime Focus of the 6-m TelescopeNov 09 2017We describe a device (adapter) for off-axis guiding and photometric calibration of wide-angle spectrographs operating in the prime focus of the 6-m telescope of the Special Astrophysical Observatory of the Russian Academy of Sciences. To compensate coma ... More
Spatial distribution of atoms in the field of the criss-cross standing bichromatic light wavesDec 05 2018We show that properly detuning the carrier frequency of each of the criss-cross bichromatic waves from the transition frequency of the atom, it is possible to form a two-dimensional trap for atoms if the intensity of the waves is sufficiently large. For ... More
Parsing Images of Overlapping Organisms with Deep Singling-Out NetworksDec 19 2016This work is motivated by the mostly unsolved task of parsing biological images with multiple overlapping articulated model organisms (such as worms or larvae). We present a general approach that separates the two main challenges associated with such ... More
Instance Segmentation of Biological Images Using Harmonic EmbeddingsApr 10 2019We present a new instance segmentation approach tailored to biological images, where instances may correspond to individual cells, organisms or plant parts. Unlike instance segmentation for user photographs or road scenes, in biological data object instances ... More
Exact and approximate analytical solutions of Weiss equation of ferromagnetism and their experimental relevanceFeb 14 2017The recent progress in the theory of generalized Lambert functions makes possible to solve exactly the Weiss equation of ferromagnetism. However, this solution is quite inconvenient for practical purposes. Precise approximate analytical solutions are ... More
Instance Segmentation by Deep ColoringJul 26 2018We propose a new and, arguably, a very simple reduction of instance segmentation to semantic segmentation. This reduction allows to train feed-forward non-recurrent deep instance segmentation systems in an end-to-end fashion using architectures that have ... More
Module categories over representations of $SL_q(2)$ in the non-semisimple caseSep 22 2005Dec 27 2006We classify semisimple module categories over the tensor category of representations of quantum SL(2) extending previous results to the roots of unity and positive characteristic cases.
A remark on cuspidal local systemsDec 09 2003In this note we show that all reductive groups are clean in odd characteristic. In characteristic 2 there are two cuspidal local systems (one for $F_4$ and one for $E_8$) which can not be handled by our method.
Multi-fusion categories of Harish-Chandra bimodulesApr 25 2014We survey some results on tensor products of irreducible Harish-Chandra bimodules. It turns out that such tensor products are semisimple in suitable Serre quotient categories. We explain how to identify the resulting semisimple tensor categories and describe ... More
Pivotal fusion categories of rank 3 (with an Appendix written jointly with Dmitri Nikshych)Sep 18 2013We classify all fusion categories of rank 3 that admit a pivotal structure over an algebraically closed field of characteristic zero. Also in the Appendix (joint with D.Nikshych) we give some restrictions on Grothendieck rings of near-group categories. ... More
Skin Friction in Simple Wall - Bounded Shear Flows in Large Reynolds Number LimitSep 24 2009Feb 09 2010A global approach to analysis of fully developed turbulent flows in pipes/channels and zero pressure gradient boundary layers is proposed. A new dynamic definition of the boundary layer thickness $\delta(x)$, where $x$ is the distance to the plate origin, ... More
Dissipation Scale Fluctuations and Chemical Reaction Rates in Turbulent FlowsJun 29 2007Small separation between reactants, not exceeding $10^{-8}-10^{-7}cm$, is the necessary condition for various chemical reactions. It is shown that random advection and stretching by turbulence leads to formation of scalar-enriched sheets of {\it strongly ... More
Probability Densities in Strong TurbulenceDec 12 2005Dec 14 2005According to modern developments in turbulence theory, the "dissipation" scales (u.v. cut-offs) $\eta$ form a random field related to velocity increments $\delta_{\eta}u$. In this work we, using Mellin's transform combined with the Gaussain large -scale ... More
Mean- Field Approximation and Extended Self-Similarity in TurbulenceAug 17 2001Recent experimental discovery of extended self-similarity (ESS) was one of the most interesting developments, enabling precise determination of the scaling exponents of fully developed turbulence. Here we show that the ESS is consistent with the Navier-Stokes ... More
Two-Dimensional turbulence in the inverse cascade rangeApr 07 1999Apr 28 1999Numerical and physical experiments on the forced two-dimensional Navier-Stokes equations show that transverse velocity differences are described by ``normal'' Kolmogorov scaling $<(\Delta v)^{2n}> \propto r^{2n/3}$ and obey a gaussian statistics. Since ... More
Skin friction in zero-pressure-gradient boundary layersAug 02 2010A global approach leading to a self-consistent solution to the Navier-Stokes-Prandtl equations for zero-pressure-gradient boundary layers is presented. It is shown that as $Re_{\delta}\rightarrow \infty$, the dynamically defined boundary layer thickness ... More
Semiclassical analysis of the schr{ö}dinger equation with conical singularitiesAug 12 2016Aug 17 2016In this article we study the propagation of Wigner measures linked to solutions of the Schr{\"o}dinger equation with potentials presenting conical singularities and show that they are transported by two different Hamiltonian flows, one over the bundle ... More
Zero temperature limit for (1+1) directed polymers with correlated random potentialOct 19 2016Zero temperature limit in (1+1) directed polymers with finite range correlated random potential is studied. In terms of the standard replica technique it is demonstrated that in this limit the considered system reveals the one-step replica symmetry breaking ... More
How many times can the volume of a convex polyhedron be increased by isometric deformations?Jul 22 2016We prove that the answer to the question of the title is `as many times as you want.' More precisely, given any constant $c>0$, we construct two oblique triangular bipyramids, $P$ and $Q$, such that $P$ is convex, $Q$ is nonconvex and intrinsically isometric ... More