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BPS states in the Omega-background and torus knotsOct 28 2013Mar 04 2014We clarify some issues concerning the central charges saturated by the extended objects in the SUSY $U(1)$ $4d$ gauge theory in the $\Omega$-background. The configuration involving the monopole localized at the domain wall is considered in some details. ... More

Spectra of Operators in Large $N$ Tensor ModelsJul 28 2017Feb 11 2018We study the operators in the large $N$ tensor models, focusing mostly on the fermionic quantum mechanics with $O(N)^3$ symmetry which may be either global or gauged. In the model with global symmetry we study the spectra of bilinear operators, which ... More

Semiclassical correlators in Jackiw-Teitelboim gravityMay 14 2019In the semiclassical approximation to JT gravity, we find two-point and four-point correlators of heavy operators. To do so, we introduce a massive particle in the bulk and compute its action with gravitational backreaction. In Euclidean signature, the ... More

RG limit cyclesFeb 11 2014In this review we consider the concept of limit cycles in the renormalization group flows. The examples of this phenomena in the quantum mechanics and field theory will be presented.

Analytic torsion of finite volume hyperbolic orbifoldsJan 28 2016In this article we define the analytic torsion of finite volume orbifolds $\Gamma \backslash \mathbb{H}^{2n+1}$ and study its asymptotic behavior with respect to certain rays of representations.

On the asymptotics of the analytic torsion for compact hyperbolic orbifoldsNov 13 2015Nov 19 2015We study the analytic torsion of odd-dimensional hyperbolic orbifolds $\Gamma \backslash \mathbb{H}^{2n+1}$, depending on a representation of $\Gamma$. Our main goal is to understand the asymptotic behavior of the analytic torsion with respect to sequences ... More

The twisted Selberg trace formula and the Selberg zeta function for compact orbifoldsNov 13 2015Nov 19 2015We study elements of the spectral theory of compact hyperbolic orbifolds $\Gamma \backslash \mathbb{H}^{n}$. We establish a version of the Selberg trace formula for non-unitary representations of $\Gamma$ and prove that the associated Selberg zeta function ... More

Critical behavior in topological ensemblesSep 11 2014Feb 11 2015We consider the relation between three physical problems: 2D directed lattice random walks, ensembles of $T_{n,n+1}$ torus knots, and instanton ensembles in 5D SQED with one compact dimension in $\Omega$ background and with 5D Chern-Simons term at the ... More

Physical conditions in potential sources of ultra-high-energy cosmic rays: Updated Hillas plot and radiation-loss constraintsAug 04 2008Mar 26 2010We review basic constraints on the acceleration of ultra-high-energy (UHE) cosmic rays (CRs) in astrophysical sources, namely the geometrical (Hillas) criterion and restrictions from radiation losses in different acceleration regimes. Using the latest ... More

The effect of intermittent upwelling events on plankton bloomsMay 06 2019In the marine environment biological processes are strongly affected by oceanic currents, particularly by eddies (vortices) formed by the hydrodynamic flow field. Employing a kinematic flow field coupled to a population dynamical model for plankton growth, ... More

Bifractional Brownian motion: existence and border casesFeb 08 2015Nov 05 2015Bifractional Brownian motion (bfBm) is a centered Gaussian process with covariance \[ R^{(H,K)}(s,t)= 2^{-K} \left( \left(|s|^{2H}+|t|^{2H} \right)^{K}-|t-s|^{2HK}\right), \qquad s,t\in R. \] We study the existence of bfBm for a given pair of parameters ... More

Free coarse groupsMar 28 2018A coarse group is a group endowed with a coarse structure so that the group multiplication and inversion are coarse mappings. Let $(X, \mathcal{E})$ be a coarse space and let $\mathfrak{M}$ be a variety of groups different from the variety of singletons. ... More

A note on free vector balleansDec 05 2018Jan 01 2019A vector balleans is a vector space over $\mathbb{R}$ endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean $(X, \mathcal{E})$, there exists the unique free vector ballean $\mathbb{V}(X, ... More

Ramsey-product subsets of a groupMar 10 2017We say that a subset $S$ of an infinite group $G$ is a Ramsey-product subset if, for any infinite subsets $X$, $Y$ of $G$, there exist $x \in X$ and $y\in Y$ such that $x y \in S$ and $ y x \in S$ . We show that the family $\varphi$ of all Ramsey-product ... More

Metrically Ramsey ultrafiltersApr 25 2017Given a metric space $(X,d)$, we say that a mapping $\chi: [X]^{2}\longrightarrow\{0.1\}$ is an isometric coloring if $d(x,y)=d(z,t)$ implies $\chi(\{x,y\})=\chi(\{z,t\})$. A free ultrafilter $\mathcal{U}$ on an infinite metric space $(X,d)$ is called ... More

Counting coarse subsets of a countable groupJun 01 2017For every countable group $G$, there are $2^{\omega}$ distinct classes of coarsely equivalent subsets of $G$.

Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromySep 03 2017Apr 23 2018We initiate the study of Selberg zeta functions $Z_{\Gamma,\chi}$ for geometrically finite Fuchsian groups $\Gamma$ and finite-dimensional representations $\chi$ with non-expanding cusp monodromy. We show that for all choices of $(\Gamma,\chi)$, the Selberg ... More

Coupling any number of balls in the infinite-bin modelJul 05 2016The infinite-bin model, introduced by Foss and Konstantopoulos, describes the Markovian evolution of configurations of balls placed inside bins, obeying certain transition rules. We prove that we can couple the behaviour of any finite number of balls, ... More

On recurrence in G-spacesMar 02 2017We introduce and analyze the following general concept of recurrence. Let $G$ be a group and let $X$ be a G-space with the action $G\times X\longrightarrow X$, $(g,x)\longmapsto gx$. For a family $\mathfrak{F}$ of subset of $X$ and $A\in \mathfrak{F}$, ... More

On hyperballeans of bounded geometryFeb 25 2017A ballean (or coarse structure) is a set endowed with some family of subsets, the balls, is such a way that balleans with corresponding morphisms can be considered as asymptotic counterparts of uniform topological spaces. For a ballean $\mathcal{B}$ on ... More

Recent progress in subset combinatorics of groupsFeb 09 2018We systematize and analyze some results obtained in Subset Combinatorics of $G$ groups after publications the previous surveys [1-4]. The main topics: the dynamical and descriptive characterizations of subsets of a group relatively their combinatorial ... More

Eisenstein series twisted with non-expanding cusp monodromiesSep 03 2017Jul 01 2018Let $\Gamma$ be a geometrically finite, nonuniform Fuchsian group and let $\chi\colon \Gamma\to{\rm GL}(V)$ be a finite-dimensional representation with non-expanding cusp monodromy. We show that the Eisenstein series for $\Gamma$ with twist $\chi$ converges ... More

BPS States in Omega Background and IntegrabilityJul 02 2012Apr 05 2013We reconsider string and domain wall central charges in N=2 supersymmetric gauge theories in four dimensions in presence of the Omega background in the Nekrasov-Shatashvili (NS) limit. Existence of these charges entails presence of the corresponding topological ... More

Lattices of coarse structuresMar 03 2018Jun 05 2018We consider the lattice of coarse structures on a set $X$ and study metrizable, locally finite and cellular coarse structures on $X$ from the lattice point of view.

Ideals in $\mathcal{P} _G$ and $βG$Apr 08 2017For a discrete group $G$, we use the natural correspondence between ideals in the Boolean algebra $ \mathcal{P}_G$ of subsets of $G$ and closed subsets in the Stone-$\check{C}$ech compactifi-cation $\beta G$ as a right topological semigroup to introduce ... More

A note-question on partitions of semigroupsAug 28 2015Given a semigroup $S$ and an $n$-partition $\mathcal{P}$ of $S$, $n\in \mathbb{N}$, do there exist $A\in \mathcal{P}$ and a subset $F$ of $S$ such that $S=F ^{-1} \{x \in S: x A \bigcap A\neq\emptyset\}$ and $|F |\leq n$? We give an affirmative answer ... More

Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillatorFeb 12 2019In this article, we study the spectral properties of the perturbation of the generalized anharmonic oscillator. We consider a piecewise H\"older continuous perturbation and investigate how the H\"older constant can affect the eigenvalues. More precisely, ... More

Atomic effective potentials for starting molecular electronic structure calculationsFeb 08 2019Molecular electronic structure calculations can be easily started by diagonalizing a one-electron Hamiltonian based on a sum of fixed atomic effective potentials. For the latter, we have found compact analytic forms in terms of a few Gaussian functions ... More

Discovering General-Purpose Active Learning StrategiesOct 09 2018Apr 02 2019We propose a general-purpose approach to discovering active learning (AL) strategies from data. These strategies are transferable from one domain to another and can be used in conjunction with many machine learning models. To this end, we formalize the ... More

The descriptive look at the size of subsets of groupsMar 01 2017We explore the Borel complexity of some basic families of subsets of a countable group (large, small, thin, sparse and other) defined by the size of their elements. Applying the obtained results to the Stone-\v{C}ech compactification $\beta G$ of $G$, ... More

Late or Earlier Information Fusion from Depth and Spectral Data? Large-Scale Digital Surface Model Refinement by Hybrid-cGANApr 22 2019We present the workflow of a DSM refinement methodology using a Hybrid-cGAN where the generative part consists of two encoders and a common decoder which blends the spectral and height information within one network. The inputs to the Hybrid-cGAN are ... More

Personal Names Popularity Estimation and its Application to Record LinkageNov 13 2018This study deals with a fairly simply formulated problem -- how to estimate the number of people bearing the same full name in a large population. Estimation of name popularity can leverage personal name matching in databases and be of interest for many ... More

Introducing Geometry in Active Learning for Image SegmentationAug 20 2015We propose an Active Learning approach to training a segmentation classifier that exploits geometric priors to streamline the annotation process in 3D image volumes. To this end, we use these priors not only to select voxels most in need of annotation ... More

Influence of the history force on inertial particle advection: Gravitational effects and horizontal diffusionSep 07 2013We analyse the effect of the Basset history force on the sedimentation or rising of inertial particles in a two-dimensional convection flow. When memory effects are neglected, the system exhibits rich dynamics, including periodic, quasi-periodic and chaotic ... More

Geometry in Active Learning for Binary and Multi-class Image SegmentationJun 29 2016Apr 04 2019We propose an active learning approach to image segmentation that exploits geometric priors to speed up and streamline the annotation process. It can be applied for both background-foreground and multi-class segmentation tasks in 2D images and 3D image ... More

DSM Building Shape Refinement from Combined Remote Sensing Images based on Wnet-cGANsMar 08 2019We describe the workflow of a digital surface models (DSMs) refinement algorithm using a hybrid conditional generative adversarial network (cGAN) where the generative part consists of two parallel networks merged at the last stage forming a WNet architecture. ... More

Geometry in Active Learning for Binary and Multi-class Image SegmentationJun 29 2016We propose an Active Learning approach to training a segmentation classifier that exploits geometric priors to streamline the annotation process in both background-foreground and multi-class segmentation tasks that work in 2D and 3D image volumes. To ... More

Atomic effective potentials for starting molecular electronic structure calculationsFeb 08 2019Mar 06 2019Atomic effective one-electron potentials in a compact analytic form in terms of a few Gaussian charge distributions are developed, for Hydrogen through Nobelium, for starting molecular electronic structure calculations by a simple diagonalization. For ... More

Impact of ASR on Alzheimer's Disease Detection: All Errors are Equal, but Deletions are More Equal than OthersApr 02 2019Automatic Speech Recognition (ASR) is a critical component of any fully-automated speech-based Alzheimer's disease (AD) detection model. However, despite years of speech recognition research, little is known about the impact of ASR performance on AD detection. ... More

Learning Active Learning from DataMar 09 2017Jul 14 2017In this paper, we suggest a novel data-driven approach to active learning (AL). The key idea is to train a regressor that predicts the expected error reduction for a candidate sample in a particular learning state. By formulating the query selection procedure ... More

Second variation of Selberg zeta functions and curvature asymptoticsSep 12 2017Dec 14 2017We give an explicit formula for the second variation of the logarithm of the Selberg zeta function, $Z(s)$, on Teichm\"uller space. We then use this formula to determine the asymptotic behavior as $s \to \infty$ of the second variation. As a consequence, ... More

A new catalogue of polar-ring galaxies selected from the SDSSJul 11 2011(Abridged) Galaxies with polar rings (PRGs) are a unique class of extragalactic objects allowing to investigate a wide range of problems, linked with the formation and evolution of galaxies, and to study the properties of their dark haloes. The progress ... More

Kinetically determined shapes of grain boundaries in CVD grapheneDec 14 2014Predicting the shape of grain boundaries is essential to control results of the growth of large graphene crystals. A global energy minimum search predicting the most stable final structure contradicts experimental observations. Here we present Monte Carlo ... More

Cooperative response and clustering: consequences of membrane-mediated interactions among mechanosensitive channelsJun 27 2017Mechanosensitive (MS) channels are ion channels which act as cells' safety valves, opening when the osmotic pressure becomes too high and making cells avoid damage by releasing ions. They are found on the cellular membrane of a large number of organisms. ... More

Identification of Artifacts and Interesting Celestial Objects in LAMOST Spectral SurveyDec 22 2016The LAMOST DR1 survey contains about two million of spectra labelled by its pipeline as stellar objects of common spectral classes. There is, however, a lot of spectra corrupted in some way by both instrumental and processing artifacts, which may mimic ... More

Learning Intelligent Dialogs for Bounding Box AnnotationDec 21 2017Nov 20 2018We introduce Intelligent Annotation Dialogs for bounding box annotation. We train an agent to automatically choose a sequence of actions for a human annotator to produce a bounding box in a minimal amount of time. Specifically, we consider two actions: ... More

Identification of Interesting Objects in Large Spectral Surveys Using Highly Parallelized Machine LearningDec 22 2016The current archives of LAMOST multi-object spectrograph contain millions of fully reduced spectra, from which the automatic pipelines have produced catalogues of many parameters of individual objects, including their approximate spectral classification. ... More

History effects in the sedimentation of light aerosols in turbulence: the case of marine snowJan 06 2016We analyze the effect of the Basset history force on the sedimentation of nearly neutrally buoyant particles, exemplified by marine snow, in a three-dimensional turbulent flow. Particles are characterized by Stokes numbers much smaller than unity, and ... More

Formation of periodical metal oxide multilayer structures for the X-ray standing wave applicationsMar 21 2018Periodical multilayer (ML) structures can be used as generators of X-ray standing waves (XSW) for investigation of objects and processes on solid/liquid and solid/gas interfaces. In this paper, we investigate the specific requirements to the structural ... More

Thermodynamic stability of mixed Pb:Sn methyl-ammonium halide perovskitesJun 22 2016Using density functional theory, we investigate systematically mixed MA(Pb:Sn)X3 perovskites, where MA is CH3NH3+, and X is Cl, Br, or I. Ab initio calculations of the orthorhombic, tetragonal, and cubic perovskite phases show that the substitution of ... More

Using surface lattice resonances to engineer nonlinear optical processes in metal nanoparticle arraysFeb 28 2018Collective responses of localized surface plasmon resonances, known as surface lattice resonances (SLRs) in metal nanoparticle arrays, can lead to high quality factors (~100), large local-field enhancements and strong light-matter interactions. SLRs have ... More

Thermodynamic stability of mixed Pb:Sn methyl-ammonium halide perovskitesJun 22 2016Jun 21 2017Using density functional theory, we investigate systematically mixed MA(Pb:Sn)X3 perovskites, where MA is CH3NH3+, and X is Cl, Br, or I. Ab initio calculations of the orthorhombic, tetragonal, and cubic perovskite phases show that the substitution of ... More

Correlated Photon Pair Production by Spontaneous Parametric Down Conversion in Quasi-Phase-Matched AlGaAs superlattice Waveguides using a Continuous Wave PumpApr 01 2013We report on the demonstration of correlated photon pair generation in quasi-phase-matched superlattice AlGaAs waveguides with a high coincidence-to-accidental ratio (CAR); with a continuous (CW) pump, the observed CAR (>100) is more than two order of ... More

God(s) Know(s): Developmental and Cross-Cultural Patterns in Children DrawingsNov 11 2015Feb 08 2016This paper introduces a novel approach to data analysis designed for the needs of specialists in psychology of religion. We detect developmental and cross-cultural patterns in children's drawings of God(s) and other supernatural agents. We develop methods ... More

Long-range dispersion forces between molecules subject to ultra-short optical pulses from ab initio calculationsFeb 05 2019London-van der Waals dispersion forces are a fundamental component of condensed matter systems, biological processes, and self-assembly. In this letter we propose a method to calculate the C6 coefficients that characterize dispersion forces in the non-retarded ... More

Models of Innate Neural Attractors and Their Applications for Neural Information ProcessingAug 05 2015In this work we reveal and explore a new class of attractor neural networks, based on inborn connections provided by model molecular markers, the molecular marker based attractor neural networks (MMBANN). We have explored conditions for the existence ... More

High Purity Single Photons Entangled with an Atomic MemoryDec 04 2018Trapped atomic ions are an ideal candidate for quantum network nodes, with long-lived identical qubit memories that can be locally entangled through their Coulomb interaction and remotely entangled through photonic channels. The integrity of this photonic ... More

Why So Many Published Sensitivity Analyses Are False. A Systematic Review of Sensitivity Analysis PracticesNov 30 2017Dec 14 2017Sensitivity analysis (SA) has much to offer for a very large class of applications, such as model selection, calibration, optimization, quality assurance and many others. Sensitivity analysis offers crucial contextual information regarding a prediction ... More

Bounds on the rate of convergence for inhomogeneous $M/M/S$ systems with either state-dependent transitions, or batch arrivals and service, or bothSep 30 2016In this paper one presents method for the computation of convergence bounds for four classes of multiserver queueing systems, described by inhomogeneous Markov chains. Specifically one considers inhomogeneous $M/M/S$ queueing system with possibly state-dependent ... More

Collective response of self-organised clusters of mechanosensitive channelsJan 02 2011Mechanosensitive channels are ion channels activated by membrane tension. We investigate the influence of bacterial mechanosensitive channels spatial distribution on activation (gating). Based on elastic short-range interactions we map this physical process ... More

Enhanced spectral sensitivity of a chip-scale photonic-crystal slow-light interferometerJan 28 2016We experimentally demonstrate that the spectral sensitivity of a Mach-Zehnder (MZ) interferometer can be enhanced through structural slow light. We observe a 20 times enhancement by placing a dispersion-engineered-slow-light photonic-crystal waveguide ... More

The Araucaria Project. Multi-band calibrations of the TRGB absolute magnitudeOct 31 2018We present new empirical calibrations of the absolute magnitude of the tip of the red giant branch (TRGB) in the optical I and near-infrared J, H, and K bands in terms of the (V-K)_0, (V-H)_0, and (J-K)_0 colors of the red giant branch. Our calibrations ... More

The Araucaria Project. On the Tip of the Red Giant Branch distance determination to the Magellanic CloudsMay 20 2016We present a precise optical and near-infrared determination of the Tip of the Red Giant Branch (TRGB) brightness in the Large and Small Magellanic Clouds (respectively LMC and SMC). The commonly used calibrations of the absolute magnitude of the TRGB ... More

Ptychographic characterization of polymer compound refractive lenses manufactured by additive technologyDec 14 2018The recent success in the development of high precision printing techniques allows one to manufacture free-standing polymer structures of high quality. Two-photon polymerization lithography is a mask-less technique with down to 100 {\mu}m resolution that ... More

Real-time data-driven detection of the rock type alteration during a directional drillingMar 27 2019During the directional drilling, a bit may sometimes go to a nonproductive rock layer due to the gap about 20 m between the bit and high-fidelity rock type sensors. The only way to detect the lithotype changes in time is the usage of Measurements While ... More

Numerical simulations of aggregate breakup in bounded and unbounded turbulent flowsJun 11 2014Feb 17 2015Breakup of small aggregates in fully developed turbulence is studied by means of direct numerical simulations in a series of typical bounded and unbounded flow configurations, such as a turbulent channel flow, a developing boundary layer and homogeneous ... More

Tilt of sunspot bipoles in Solar Cycles 15 to 24Jul 20 2018We use recently digitized sunspot drawings from Mount Wilson Observatory to investigate the latitudinal dependence of tilt angles of active regions and its change with solar cycle. The drawings cover the period from 1917 to present and contain information ... More

Photonic Integrated Devices for Nonlinear OpticsMay 02 2014We review our recent progresses on frequency conversion in integrated devices, focusing primarily on experiments based on strip-loaded and quantum-well intermixed AlGaAs waveguides, and on CMOS-compatible high-index doped silica glass waveguides. The ... More

Data-driven model for the identification of the rock type at a drilling bitJun 08 2018Sep 13 2018In order to bridge the gap of more than 15m between the drilling bit and high-fidelity rock type sensors during the directional drilling, we present a novel approach for identifying rock type at the drilling bit. The approach is based on application of ... More

The Araucaria Project: High-precision Cepheid astrophysics from the analysis of variables in double-lined eclipsing binariesJun 04 2018Jul 21 2018Based on new observations and improved modeling techniques, we have reanalyzed seven Cepheids in the Large Magellanic Cloud. Improved physical parameters have been determined for the exotic system OGLE LMC-CEP-1718 composed of two first-overtone Cepheids ... More

Data-driven model for the identification of the rock type at a drilling bitJun 08 2018Mar 25 2019Directional oil well drilling requires high precision of the wellbore positioning inside the productive area. However, due to specifics of engineering design, sensors that explicitly determine the type of the drilled rock are located farther than 15m ... More

The Araucaria Project. The distance to the Small Magellanic Cloud from late-type eclipsing binariesNov 11 2013We present a distance determination to the Small Magellanic Cloud (SMC) based on an analysis of four detached, long period, late type eclipsing binaries discovered by the OGLE Survey. The components of the binaries show negligible intrinsic variability. ... More

The Araucaria Project: A study of the classical Cepheid in the eclipsing binary system OGLE LMC562.05.9009 in the Large Magellanic CloudNov 09 2015We present a detailed study of the classical Cepheid in the double-lined, highly eccentric eclipsing binary system OGLE-LMC562.05.9009. The Cepheid is a fundamental mode pulsator with a period of 2.988 days. The orbital period of the system is 1550 days. ... More

Testing systematics of Gaia DR2 parallaxes with empirical surface brightness - color relations applied to eclipsing binariesFeb 01 2019Using a sample of 81 galactic, detached eclipsing binary stars we investigated the global zero-point shift of their parallaxes with the Gaia Data Release 2 (DR2) parallaxes. The stars in the sample lay in a distance range of 0.04-2 kpc from the Sun. The ... More

The late type eclipsing binaries in the Large Magellanic Cloud: catalogue of fundamental physical parametersMay 13 2018We present a determination of precise fundamental physical parameters of twenty detached, double- lined, eclipsing binary stars in the Large Magellanic Cloud (LMC) containing G- or early K-type giant stars. Eleven are new systems, the remaining nine are ... More

Proceedings of eNTERFACE 2015 Workshop on Intelligent InterfacesJan 19 2018The 11th Summer Workshop on Multimodal Interfaces eNTERFACE 2015 was hosted by the Numediart Institute of Creative Technologies of the University of Mons from August 10th to September 2015. During the four weeks, students and researchers from all over ... More