total 14159took 0.14s

Automatic generation of object shapes with desired functionalitiesMay 30 2018Oct 16 20183D objects (artefacts) are made to fulfill functions. Designing an object often starts with defining a list of functionalities that it should provide, also known as functional requirements. Today, the design of 3D object models is still a slow and largely ... More

Language Bootstrapping: Learning Word Meanings From Perception-Action AssociationNov 27 2017We address the problem of bootstrapping language acquisition for an artificial system similarly to what is observed in experiments with human infants. Our method works by associating meanings to words in manipulation tasks, as a robot interacts with objects ... More

Learning at the Ends: From Hand to Tool Affordances in Humanoid RobotsApr 09 2018One of the open challenges in designing robots that operate successfully in the unpredictable human environment is how to make them able to predict what actions they can perform on objects, and what their effects will be, i.e., the ability to perceive ... More

Cleaning tasks knowledge transfer between heterogeneous robots: a deep learning approachMar 13 2019Nowadays, autonomous service robots are becoming an important topic in robotic research. Differently from typical industrial scenarios, with highly controlled environments, service robots must show an additional robustness to task perturbations and changes ... More

Breaking symmetries to rescue Sum of Squares: The case of makespan schedulingNov 21 2018Nov 23 2018The Sum of Squares (SoS) hierarchy gives an automatized technique to create a family of increasingly tight convex relaxations for binary programs. There are several problems for which a constant number of rounds of the hierarchy give integrality gaps ... More

Anharmonicity in multifrequency atomic force microscopyJul 11 2014In multifrequency atomic force microscopy higher eigenmodes are externally excited to enhance resolution and contrast while simultaneously increasing the number of experimental observables with the use of gentle forces. Here, the implications of externally ... More

Variational and Quasi-Variational Inequalities with Gradient Type ConstraintsSep 06 2018This survey on stationary and evolutionary problems with gradient constraints is based on developments of monotonicity and compactness methods applied to large classes of scalar and vectorial solutions to variational and quasi-variational inequalities. ... More

On the first stability eigenvalue of surfaces with constant weighted mean curvatureMar 20 2015Let $\Sigma$ be a compact immersed surface with constant weighted mean curvature $H_f$ in a weighted manifold $(M^3,g,f)$. In this paper we obtain upper bounds for the first eigenvalue of the weighted Jacobi operator on $\Sigma$ in terms of $H_f$ and ... More

Solutions for linear conservation laws with gradient constraintsFeb 03 2015We consider variational inequality solutions with prescribed gradient constraints for first order linear boundary value problems. For operators with coefficients only in $L^2$, we show the existence and uniqueness of the solution by using a combination ... More

The revival of the Baldwin EffectFeb 27 2017Aug 09 2017The idea that a genetically fixed behavior evolved from the once differential learning ability of individuals that performed the behavior is known as the Baldwin effect. A highly influential paper [Hinton G.E., Nowlan S.J., 1987. How learning can guide ... More

Strong Algorithms for the Ordinal Matroid Secretary ProblemFeb 06 2018In the ordinal Matroid Secretary Problem (MSP), elements from a weighted matroid are presented in random order to an algorithm that must incrementally select a large weight independent set. However, the algorithm can only compare pairs of revealed elements ... More

The nonlinear N-membranes evolution problemDec 09 2008The parabolic N-membranes problem for the p-Laplacian and the complete order constraint on the components of the solution is studied in what concerns the approximation, the regularity and the stability of the variational solutions. We extend to the evolutionary ... More

Synergies between intensity maps of hydrogen linesMar 19 2018Jun 26 2018We study synergies between HI 21cm and H$\alpha$ intensity map observations, focusing on SKA1-like and SPHEREx-like surveys. We forecast how well such a combination can measure features in the angular power spectrum on the largest scales, that arise from ... More

Phenotypic Plasticity, the Baldwin Effect, and the Speeding up of Evolution: the Computational Roots of an IllusionNov 25 2014An increasing number of dissident voices claim that the standard neo-Darwinian view of genes as 'leaders' and phenotypes as 'followers' during the process of adaptive evolution should be turned on its head. This idea is older than the rediscovery of Mendel's ... More

First-principles investigation of spin wave dispersions in surface-reconstructed Co thin films on W(110)Dec 03 2016Apr 10 2017We computed spin wave dispersions of surface-reconstructed Co films on the W(110) surface in the adiabatic approximation. The magnetic exchange interactions are obtained via first-principles electronic structure calculations using the Korringa-Kohn-Rostoker ... More

First-principles calculations of iron-hydrogen reactions in siliconJun 06 2018Jun 29 2018Controlling the contamination of silicon materials by iron, especially dissolved interstitial iron (Fe$_{\mathrm{i}}$), is a longstanding problem with recent developments and several open issues. Among these we have the question whether hydrogen can assist ... More

Homogenization of functional with linear growth in the context of $\mathcal{A}$-quasiconvexityOct 02 2014This work deals with the homogenization of functionals with linear growth in the context of $\mathcal{A}$-quasiconvexity. A representation theorem is proved, where the new integrand function is obtained by solving a cell problem where the coupling between ... More

On a p-curl system arising in electromagnetismSep 02 2010We prove existence of solution of a $p$-curl type evolutionary system arising in electromagnetism with a power nonlinearity of order $p$, $1<p<\infty$, assuming natural tangential boundary conditions. We consider also the asymptotic behaviour in the power ... More

Probing the primordial Universe with MeerKAT and DESNov 04 2016Dec 09 2016It is usually assumed that we will need to wait until next-generation surveys like Euclid, LSST and SKA, in order to improve on the current best constraints on primordial non-Gaussianity from the Planck experiment. We show that two contemporary surveys, ... More

Constrained Conditional Moment Restriction ModelsSep 21 2015This paper examines a general class of inferential problems in semiparametric and nonparametric models defined by conditional moment restrictions. We construct tests for the hypothesis that at least one element of the identified set satisfies a conjectured ... More

Boosting Named Entity Recognition with Neural Character EmbeddingsMay 19 2015May 25 2015Most state-of-the-art named entity recognition (NER) systems rely on handcrafted features and on the output of other NLP tasks such as part-of-speech (POS) tagging and text chunking. In this work we propose a language-independent NER system that uses ... 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

Combinatorial and Arithmetical Properties of the Restricted and Associated Bell and Factorial NumbersJul 25 2017Jul 31 2017Set partitions and permutations with restrictions on the size of the blocks and cycles are important combinatorial sequences. Counting these objects lead to the sequences generalizing the classical Stirling and Bell numbers. The main focus of the present ... More

Cosmology with intensity mapping techniques using atomic and molecular linesJul 18 2016Dec 07 2016We present a systematic study of the intensity mapping technique using updated models for the different emission lines from galaxies and identify which ones are more promising for cosmological studies of the post reionization epoch. We consider the emission ... More

Conformal Killing vector fields and a virial theoremOct 08 2014The virial theorem is formulated both intrinsically and in local coordinates for a Lagrangian system of mechanical type on a Riemann manifold. An import case studied in this paper is that of an affine virial function associated to a vector field on the ... More

A double EP-based proposal for turbo equalizationFeb 04 2019This letter deals with the application of the expectation propagation (EP) algorithm to turbo equalization. The EP has been successfully applied to obtain either a better approximation at the output of the equalizer or at the output of the channel decoder ... More

Kinetic Theory of Soft Matter. The Penetrable-Square-Well ModelSep 26 2018The penetrable-square-well (PSW) pair interaction potential is defined as $\phi (r)=\epsilon_r$ if the two interacting particles are overlapped ($r<\sigma$), $\phi(r)=-\epsilon_a$ inside a corona ($\sigma <r<\lambda$), and $\phi(r)=0$ otherwise ($r>\lambda$). ... More

Simulated multi-tracer analyses with HI intensity mappingAug 09 2018We use full sky simulations, including the effects of foreground contamination and removal, to explore multi-tracer synergies between a SKA-like 21cm intensity mapping survey and a LSST-like photometric galaxy redshift survey. In particular we study ratios ... More

On the linear convergence of the circumcentered-reflection methodNov 23 2017Nov 27 2017In order to accelerate the Douglas--Rachford method we recently developed the circumcentered--reflection method, which provides the closest iterate to the solution among all points relying on successive reflections, for the best approximation problem ... More

Epidemics in Multipartite Networks: Emergent DynamicsJun 28 2013Single virus epidemics over complete networks are widely explored in the literature as the fraction of infected nodes is, under appropriate microscopic modeling of the virus infection, a Markov process. With non-complete networks, this macroscopic variable ... More

Identification of the Risk Related to a Process on Hospital Emergency Service: a Case StudyDec 07 2011Apr 10 2012This paper, framed in a vast investigation, describes the application of techniques and methodologies in Organizational Engineering connected to the associated risk to the processes developed in an Emergency Service of an important Portuguese Hospital. ... More

Virial theorem in quasi-coordinates and Lie algebroid formalismMay 26 2014May 27 2014In this paper, the geometric approach to the virial theorem developed in \cite{CFR12} is written in terms of quasi-velocities (see \cite{CNCS07}). A generalization of the virial theorem for mechanical systems on Lie algebroids is also given, using the ... More

Recursive Estimation of Dynamic RSS Fields Based on Crowdsourcing and Gaussian ProcessesJun 07 2018Dec 21 2018In this paper, we address the estimation of a time-varying spatial field of received signal strength (RSS) by relying on measurements from randomly placed and not very accurate sensors. We employ a radio propagation model where the path loss exponent ... More

Two-photon processes based on quantum commutatorsJan 21 2018We developed a new method to calculate two-photon processes in quantum mechanics that replaces the infinite summation over the intermediate states by a perturbation expansion. This latter consists of a series of commutators that involve position, momentum ... More

On labeling Android malware signatures using minhashing and further classification with Structural Equation ModelsSep 13 2017Multi-scanner Antivirus systems provide insightful information on the nature of a suspect application; however there is often a lack of consensus and consistency between different Anti-Virus engines. In this article, we analyze more than 250 thousand ... More

Optimised angular power spectra for spectroscopic galaxy surveysMar 28 2018Mar 11 2019The angular power spectrum is a gauge-independent observable that is in principle the natural tool for analysing galaxy number counts. In practice, the problem is that the computational requirements for next-generation spectroscopic surveys such as Euclid ... More

Equalization with Expectation Propagation at Smoothing LevelSep 04 2018Feb 04 2019In this paper we propose a smoothing turbo equalizer based on the expectation propagation (EP) algorithm with quite improved performance compared to the Kalman smoother, at similar complexity. In scenarios where high-order modulations or/and large memory ... More

Preorder Construct on Simple Undirected GraphsMar 09 2017We construct a novel preorder on the set of nodes of a simple undirected graph. We prove that the preorder (induced by the topology of the graph) is preserved, e.g., by the logistic dynamical system (both in discrete and continuous time). Moreover, the ... More

Urgency/Emergency Health Processes' Modelling: A Case StudyDec 07 2011Apr 10 2012The growing complexity and sophistication of the organizational information systems, and hospital ones particularly, render difficult their comprehension and, consequently, the implementation of control mechanisms that may assure, at all times, the auditability ... More

Optimised angular power spectra for spectroscopic galaxy surveysMar 28 2018Sep 21 2018The angular power spectrum is a gauge-independent observable that is in principle the natural tool for analysing galaxy number counts. In practice, the problem is that the computational requirements for next-generation spectroscopic surveys such as Euclid ... More

Displacement convexity for the entropy in semidiscrete nonlinear Fokker-Planck equationsNov 15 2016The displacement $\lambda$-convexity of a nonstandard entropy with respect to a nonlocal transportation metric in finite state spaces is shown using a gradient flow approach. The constant $\lambda$ is computed explicitly in terms of a priori estimates ... More

Hunting down horizon-scale effects with multi-wavelength surveysJul 16 2015Oct 12 2015Next-generation cosmological surveys will probe ever larger volumes of the Universe, including the largest scales, near and beyond the horizon. On these scales, the galaxy power spectrum carries signatures of local primordial non-Gaussianity (PNG) and ... More

Wearing a single DNA molecule with an AFM tipJun 11 2015While the fundamental limit on the resolution achieved in an atomic force microscope (AFM) is clearly related to the tip radius, the fact that the tip can creep and/or wear during an experiment is often ignored. This is mainly due to the difficulty in ... More

Numerical wind tunnelsSep 22 2015Dec 07 2015Flow of viscous fluids are not usually discussed in detail in general and basic courses of physics. This is due in part to the fact that the Navier-Stokes equation has analytical solution only for a few restricted cases, while more sophisticated problems ... More

Lorentz-violating nonminimal coupling in the Kroll-Lee-Zumino model and vector meson dominanceAug 06 2018We investigate the Kroll-Lee-Zumino (KLZ) model in the presence of a Lorentz-violating (LV) nonminimal coupling between the neutral vector meson field strength and the pion current. In this modified model the usual vector meson dominance (VMD) is fulfilled ... More

Spin-resolved inelastic electron scattering by spin waves in noncollinear magnetsJan 08 2018Apr 19 2018Topological non-collinear magnetic phases of matter are at the heart of many proposals for future information nanotechnology, with novel device concepts based on ultra-thin films and nanowires. Their operation requires understanding and control of the ... More

Revisiting the Fe XVII line emission problem: High-resolution laboratory measurements of the 3s-2p and 3d-2p line-formation channelsMar 11 2019We determined relative X-ray photon emission cross sections in Fe XVII ions that were mono-energetically excited in an electron beam ion trap. Line formation for the 3s-2p and 3d-2p transitions of interest proceeds through dielectronic recombination (DR), ... More

Exploring the robustness of features and enhancement on speech recognition systems in highly-reverberant real environmentsMar 23 2018This paper evaluates the robustness of a DNN-HMM-based speech recognition system in highly-reverberant real environments using the HRRE database. The performance of locally-normalized filter bank (LNFB) and Mel filter bank (MelFB) features in combination ... More

Quantum interference in laser spectroscopy of highly charged lithiumlike ionsFeb 22 2018We investigate the quantum interference induced shifts between energetically close states in highly charged ions, with the energy structure being observed by laser spectroscopy. In this work, we focus on hyperfine states of lithiumlike heavy-$Z$ isotopes ... More

Long Wavelength Instability for Uniform Shear FlowApr 30 1996Uniform Shear Flow is a prototype nonequilibrium state admitting detailed study at both the macroscopic and microscopic levels via theory and computer simulation. It is shown that the hydrodynamic equations for this state have a long wavelength instability. ... More

Neumann boundary conditions with null external quasi-momenta in finite-systemsJan 05 2017Feb 16 2017The order parameter of a critical system defined in a layered parallel plate geometry subject to Neumann boundary conditions at the limiting surfaces is studied. We utilize a one-particle irreducible vertex parts framework in order to study the critical ... More

Modern finite-size criticality: Dirichlet and Neumann boundary conditionsSep 18 2015Dec 30 2016Finite-size critical systems defined on a parallel plate geometry of finite extent along one single ($z$) direction with Dirichlet and Neumann boundary conditions at $z=0,L$ are analyzed in momentum space. We introduce a modified representation for the ... More

First variation of the Hausdorff measure of non-horizontal submanifolds in stratified Lie groupsApr 05 2014Dec 23 2015We determine necessary conditions for a non-horizontal submanifold of a sub-Riemannian stratified Lie group to be of minimal measure. We calculate the first variation of the measure for a non-horizontal submanifold and find that the minimality condition ... More

Complex-Valued Kernel Methods for RegressionOct 31 2016Usually, complex-valued RKHS are presented as an straightforward application of the real-valued case. In this paper we prove that this procedure yields a limited solution for regression. We show that another kernel, here denoted as pseudo kernel, is needed ... More

Heavy resonances and the electroweak effective theoryNov 26 2018Taking into account the negative results of direct searches for beyond the Standard Model fields and the consequent mass gap between Standard Model and possible unknown states, the use of electroweak effective theories is justified. Whereas at low energies ... More

Correspondence Analysis of Government Expenditure PatternsNov 29 2018We analyze expenditure patterns of discretionary funds by Brazilian congress members. This analysis is based on a large dataset containing over $7$ million expenses made publicly available by the Brazilian government. This dataset has, up to now, remained ... More

Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipationSep 14 2017Sep 16 2018Within the Standard Model Extension (SME), we expand our previous findings on four classes of violations of Super-Symmetry (SuSy) and Lorentz Symmetry (LoSy), differing in the handedness of the Charge conjugation-Parity-Time reversal (CPT) symmetry and ... More

Quantum interference shifts in laser spectroscopy with elliptical polarizationNov 11 2015We investigate the quantum interference shifts between energetically close states, where the state structure is observed by laser spectroscopy. We report a compact and analytical expression that models the quantum interference induced shift for any admixture ... More

Colorful Imprints of Heavy States in the Electroweak Effective TheoryOct 24 2018We analyze heavy states from generic ultraviolet completions of the Standard Model in a model-independent way and investigate their implications on the low-energy couplings of the electroweak effective theory. We build a general effective Lagrangian, ... More

Quasi-normal modes of black holes and naked singularities: revisiting the WKB methodMar 12 2019In this paper we revisit the analysis of the ringdown frequencies in the form of quasi-normal modes for Schwarzschild,Schwarzschild de-Sitter and Reissner-Nordstr\"om space-times. We plot these frequencies, using the third-order WKB semi-analytical method ... More

Machine Learning Barycenter Approach to Identifying LPV State-Space ModelsFeb 01 2016Mar 26 2018In this paper an identification method for state-space LPV models is presented. The method is based on a particular parameterization that can be written in linear regression form and enables model estimation to be handled using Least-Squares Support Vector ... More

A generalized Mittag-Leffer function to describe nonexponential chemical effectsAug 28 2014In this paper a differential equation with noninteger order was used to model an anomalous luminescence decay process. Although this process is in principle an exponential decaying process, recent data indicates that is not the case for longer observation ... More

Turbo EP-based Equalization: a Filter-Type ImplementationNov 22 2017Dec 21 2018This manuscript has been submitted to Transactions on Communications on September 7, 2017; revised on January 10, 2018 and March 27, 2018; and accepted on April 25, 2018 We propose a novel filter-type equalizer to improve the solution of the linear minimum-mean ... More

Relativistic polarization analysis of Rayleigh scattering by atomic hydrogenAug 15 2012A relativistic analysis of the polarization properties of light elastically scattered by atomic hydrogen is performed, based on the Dirac equation and second order perturbation theory. The relativistic atomic states used for the calculations are obtained ... More

A study of the galaxy redshift distribution toward the cosmic microwave background cold spot in the Corona Borealis superclusterDec 28 2009We present a study of the spatial and redshift distributions of Sloan Digital Sky Survey (SDSS) galaxies toward the position of CrB-H, a very deep and extended decrement in the Cosmic Microwave Background (CMB), located within the Corona Borealis supercluster ... More

Relativistic motion under constant force: velocity and acceleration behaviorJun 21 2018In relativistic dynamics, force and acceleration are no longer parallel. In this article, we revisit the relativistic motion of a particle under the action of a constant force, $\boldsymbol{f}$. \ For a two-dimensional motion, the final velocity in each ... More

Deconstructing the governing dissipative phenomena in the nanoscaleJan 25 2014An expression describing the controlling parameters involved in short range nanoscale dissipation is proposed and supported by simulations and experimental findings. The expression is deconstructed into the geometrical, dynamic, chemical and mechanical ... More

Jensen's force and the statistical mechanics of cortical asynchronous statesJan 24 2019The cortex exhibits self-sustained highly-irregular activity even under resting conditions, whose origin and function need to be fully understood. It is believed that this can be described as an "asynchronous state" stemming from the balance between excitation ... More

Anticipation in Human-Robot Cooperation: A Recurrent Neural Network Approach for Multiple Action Sequences PredictionFeb 28 2018Feb 18 2019Close human-robot cooperation is a key enabler for new developments in advanced manufacturing and assistive applications. Close cooperation require robots that can predict human actions and intent, and understand human non-verbal cues. Recent approaches ... More

Anticipation in Human-Robot Cooperation: A Recurrent Neural Network Approach for Multiple Action Sequences PredictionFeb 28 2018Jun 15 2018Close human-robot cooperation is a key enabler for new developments in advanced manufacturing and assistive applications. Close cooperation require robots that can predict human actions and intent, and understand human non-verbal cues. Recent approaches ... More

Highly-Reverberant Real Environment database: HRREJan 29 2018Mar 23 2018Speech recognition in highly-reverberant real environments remains a major challenge. An evaluation dataset for this task is needed. This report describes the generation of the Highly-Reverberant Real Environment database (HRRE). This database contains ... More

Texture Fuzzy Segmentation using Skew Divergence Adaptive Affinity FunctionsOct 07 2017Digital image segmentation is the process of assigning distinct labels to different objects in a digital image, and the fuzzy segmentation algorithm has been successfully used in the segmentation of images from a wide variety of sources. However, the ... More

Dual parameterization of Weighted ColoringMay 17 2018Given a graph $G$, a proper $k$-coloring of $G$ is a partition $c = (S_i)_{i\in [1,k]}$ of $V(G)$ into $k$ stable sets $S_1,\ldots, S_{k}$. Given a weight function $w: V(G) \to \mathbb{R}^+$, the weight of a color $S_i$ is defined as $w(i) = \max_{v \in ... More

Applying Domain Randomization to Synthetic Data for Object Category DetectionJul 16 2018Recent advances in deep learning-based object detection techniques have revolutionized their applicability in several fields. However, since these methods rely on unwieldy and large amounts of data, a common practice is to download models pre-trained ... More

Action Anticipation: Reading the Intentions of Humans and RobotsFeb 08 2018Humans have the fascinating capacity to understand, and anticipate the actions of other humans in the same space, without requiring verbal communication. This "intention reading" capacity is underpinned by a common motor-repertoire that is shared by all ... More

Microcalorimetric and SAXS Determination of PEO-SDS Interactions: The Effect of Cosolutes Formed by IonsAug 30 2014The effect of different ionic cosolutes (NaCl, Na$_2$SO$_4$, Li$_2$SO$_4$, NaSCN, Na$_2$[Fe(CN)5NO], and Na$_3$[Co(NO)$_6$]) on the interaction between sodium dodecyl sulfate (SDS) and poly(ethylene oxide) (PEO) was examined by small-angle X-ray scattering ... 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

A note on strong normalization in classical natural deductionJun 21 2016In the context of natural deduction for propositional classical logic, with classicality given by the inference rule reductio ad absurdum, we investigate the De Morgan translation of disjunction in terms of negation and conjunction. Once the translation ... More

High-level Reasoning and Low-level Learning for Grasping: A Probabilistic Logic PipelineNov 04 2014While grasps must satisfy the grasping stability criteria, good grasps depend on the specific manipulation scenario: the object, its properties and functionalities, as well as the task and grasp constraints. In this paper, we consider such information ... 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

Recent ProAm Campaigns: Be stars, COROT and othersJan 04 2011The ProAm effort in modern astronomy and astrophysics is now a reality. The achievements of amateur astronomers throughout the early history of astronomy are well known. However, during the 20th century, the high specialisation and the technology required ... More

A weak comparison principle for reaction-diffusion systemsMay 18 2012In this paper we prove a weak comparison principle for a reaction-diffusion system without uniqueness of solutions. We apply the abstract results to the Lotka-Volterra system with diffusion, a generalized logistic equation and to a model of fractional-order ... More

A note on 3-manifolds and complex surface singularitiesMar 02 2019This article is motivated by the original Casson invariant regarded as an integral lifting of the Rochlin invariant. We aim to defining an integral lifting of the Adams e-invariant of stably framed 3-manifolds, perhaps endowed with some additional structure. ... More

Cesàro convergent sequences in the Mackey topologyDec 25 2018A Banach space $X$ is said to have property ($\mu^s$) if every weak$^*$-null sequence in $X^*$ admits a subsequence such that all of its subsequences are Ces\`{a}ro convergent to $0$ with respect to the Mackey topology. This is stronger than the so-called ... More

Fermat's Last Theorem admits an infinity of proving ways and two corollariesJul 24 2015Fermat's statement is equivalent to say that if $x$, $y$, $z$, $n$ are integers and $n>2$, then $z^{n}\gtrless x^{n}+y^{n}$. This is proved with the aid of numbers $\lambda $'s, of the form $\lambda =z/\rho $, with $1<\rho<z$, named \emph{reversors} in ... More

The spectrum of Volterra operators on weighted spaces of entire functionsFeb 27 2015We investigate the spectrum of the Volterra operator $V_g$ with symbol an entire function $g$, when it acts on weighted Banach spaces $H_v^{\infty}(\mathbb{C})$ of entire functions with sup-norms and when it acts on H\"ormander algebras $A_p$ or $A^0_p$. ... More

On conditional Lebesgue property for conditional risk measuresSep 23 2015Jul 26 2016Locally $L^0$-convex modules were introduced in [D. Filipovic, M. Kupper, N. Vogelpoth. Separation and duality in locally $L^0$-convex modules. J. Funct. Anal. 256(12), 3996-4029 (2009)] as the analytic basis for the study of conditional risk measures. ... More

Molecular dynamics simulation of behaviour of water in nano-confined ionic liquid--water mixturesApr 11 2016This work describes the behaviour of water molecules in 1-butyl-3-methylimidazolium tetrafluoroborate ionic liquid under nanoconfinement between graphene sheets. By means of molecular dynamics simulations, an adsorption of water molecules at the graphene ... More

Reply to Paris's Comments on Exactification of Stirling's Approximation for the Logarithm of the Gamma FunctionAug 07 2014In a recent paper [arXiv:1406.1320] Paris has made several comments concerning the author's recent work on the exactification of Stirling's approximation for the logarithm of the gamma function, $\ln \Gamma(z)$. Despite acknowledging that the calculations ... More

Exactification of Stirling's Approximation for the Logarithm of the Gamma FunctionApr 10 2014Exactification is the process of obtaining exact values of a function from its complete asymptotic expansion. Here Stirling's approximation for the logarithm of the gamma function or $\ln \Gamma(z)$ is derived completely whereby it is composed of the ... More

Reynolds number of transition and large-scale properties of strong turbulenceSep 14 2014A turbulent flow is characterized by velocity fluctuations excited in an extremely broad interval of wave numbers $k> \Lambda_{f}$ where $\Lambda_{f}$ is a relatively small set of the wave-vectors where energy is pumped into fluid by external forces. ... More

Reynolds Number of Transition as a Dynamic Constraint on Statistical Theory of TurbulenceAug 20 2013Iterative coarse-graining procedure based on Wyld's perturbation expansion is applied to the problem of Navier-Stokes turbulence. It is shown that the low-order calculation gives the fixed-point Reynolds number $ Re_{fp}$ (coupling constant) almost identical ... More

Statistics of Transverse Velocity Differences in TurbulenceSep 09 1999An unusual symmetry of the equation for the generating function of transverse velocity differences $\Delta v=v(x+r)-v(x)$ is used to obtain a closed equation for the probability density function $P(\Delta v,r)$ in strong three-dimensional turbulence. ... More

Tensor categories (after P. Deligne)Jan 25 2004These notes give an exposition of Deligne's theorem on the existense of super fiber functor.

Asymptotics of the ground state energy of heavy molecules and related topics. IIOct 04 2012Jan 23 2013We consider asymptotics of the ground state energy of heavy atoms and molecules in the strong external magnetic field and derive it including Schwinger and Dirac corrections (if magnetic field is not too strong). We also consider related topics: an excessive ... More

Asymptotics of the ground state energy of heavy molecules and related topicsOct 03 2012We consider asymptotics of the ground state energy of heavy atoms and molecules and derive it including Schwinger and Dirac corrections. We consider also related topics: an excessive negative charge, ionization energy and excessive negative charge when ... More

Déformations isospectrales non compactes et théorie quantique des champsJul 21 2005Nov 02 2005The aim of this thesis is to study the isopectral deformations from the point of view of Alain Connes' noncommutative geometry. This class of quantum spaces constituts a curved space generalisation of Moyal planes and noncommutative tori. First of all, ... More

Heat-Kernel Approach to UV/IR Mixing on Isospectral Deformation ManifoldsDec 20 2004May 23 2005We work out the general features of perturbative field theory on noncommutative manifolds defined by isospectral deformation. These (in general curved) `quantum spaces', generalizing Moyal planes and noncommutative tori, are constructed using Rieffel's ... More

A mathematical formalization of data parallel operationsFeb 07 2016We give a mathematical formalization of `generalized data parallel' operations, a concept that covers such common scientific kernels as matrix-vector multiplication, multi-grid coarsening, load distribution, and many more. We show that from a compact ... More

On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves. The Banach triangle case ($L^r,\: 1\leq r<\infty$)Dec 31 2015Apr 27 2016We show that the bilinear Hilbert transform $H_{\Gamma}$ along curves $\Gamma=(t,-\gamma(t))$ with $\gamma\in\mathcal{N}\mathcal{F}^{C}$ is bounded from $L^{p}(\mathbb{R})\times L^{q}(\mathbb{R})\,\rightarrow\,L^{r}(\mathbb{R})$ where $p,\,q,\,r$ are ... More