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Infinitesimal Lipschitz conditions on family of analytic varietiesFeb 08 2019In this work, we extend the concept of the double of an ideal defined in \cite{G2}, to the context of modules. We also obtain the genericity of the infinitesimal Lipschitz condition A for an enlarged class of analytic spaces.

Robust path-following control for articulated heavy-duty vehiclesAug 07 2018Path following and lateral stability are crucial issues for autonomous vehicles. Moreover, these problems increase in complexity when handling articulated heavy-duty vehicles due to their poor manoeuvrability, large sizes and mass variation. In addition, ... More

Conformally flat sources for the Linet-Tian spacetimeDec 21 2012Dec 28 2012We investigate the matching, across cylindrical surfaces, of static cylindrically symmetric conformally flat spacetimes with a cosmological constant $\Lambda$, satisfying regularity conditions at the axis, to an exterior Linet-Tian spacetime. We prove ... More

A semi-supervised fuzzy GrowCut algorithm to segment and classify regions of interest of mammographic imagesDec 03 2017According to the World Health Organization, breast cancer is the most common form of cancer in women. It is the second leading cause of death among women round the world, becoming the most fatal form of cancer. Mammographic image segmentation is a fundamental ... More

Geodesics dynamics in the Linet-Tian spacetime with Lambda>0Dec 29 2016We analyse the geodesics' dynamics in cylindrically symmetric vacuum spacetimes with Lambda>0 and compare it to the Lambda=0 and Lambda<0 cases. When Lambda>0 there are two singularities in the metric which brings new qualitative features to the dynamics. ... More

Geodesics dynamics in the Linet-Tian spacetime with Lambda<0Mar 15 2014We investigate the geodesics' kinematics and dynamics in the Linet-Tian metric with Lambda<0 and compare with the results for the Levi-Civita metric, when Lambda=0. This is used to derive new stability results about the geodesics' dynamics in static vacuum ... More

On the Levi-Civita solutions with cosmological constantNov 03 1999The main properties of the Levi-Civita solutions with the cosmological constant are studied. In particular, it is found that some of the solutions need to be extended beyond certain hypersurfaces in order to have geodesically complete spacetimes. Some ... More

Cylindrically symmetric inhomogeneous dust collapse with a zero expansion componentSep 29 2017We investigate a class of cylindrically symmetric inhomogeneous $\Lambda$-dust spacetimes which have a regular axis and some zero expansion component. For $\Lambda\ne 0$, we obtain new exact solutions to the Einstein equations and show that they are unique, ... More

Inference on Dynamic Models for non-Gaussian Random Fields using INLA: A Homicide Rate Analysis of Brazilian CitiesDec 24 2013Feb 13 2015Robust time series analysis is an important subject in statistical modeling. Models based on Gaussian distribution are sensitive to outliers, which may imply in a significant degradation in estimation performance as well as in prediction accuracy. State-space ... More

The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal SingularitiesMay 10 2017Oct 18 2017The bi-Lipschitz geometry is one of the main subjects in the modern approach of Singularity Theory. However, it rises from works of important mathematicians of the last century, especially Zariski. In this work we investigate the Bi-Lipschitz equisingularity ... More

Métodos de Otimização Combinatória Aplicados ao Problema de Compressão MultiFrasesMar 19 2017The Internet has led to a dramatic increase in the amount of available information. In this context, reading and understanding this flow of information have become costly tasks. In the last years, to assist people to understand textual data, various Natural ... More

Scaling properties of d-dimensional complex networksOct 03 2018Jan 03 2019The area of networks is very interdisciplinary and exhibits many applications in several fields of science. Nevertheless, there are few studies focusing on geographically located $d$-dimensional networks. In this paper, we study scaling properties of ... More

Spectral characterization of weak coherent state sources based on two-photon interferenceJul 08 2015We demonstrate a method for characterizing the coherence function of coherent states based on two-photon interference. Two states from frequency mismatched faint laser sources are fed into a Hong-Ou-Mandel interferometer and the interference pattern is ... More

Spatio-Temporal Vegetation Pixel Classification By Using Convolutional NetworksMar 02 2019Plant phenology studies rely on long-term monitoring of life cycles of plants. High-resolution unmanned aerial vehicles (UAVs) and near-surface technologies have been used for plant monitoring, demanding the creation of methods capable of locating and ... More

Solving the minimum labeling global cut problem by mathematical programmingMar 11 2019Let G = (V, E, L) be an edge-labeled graph such that V is the set of vertices, E is the set of edges, L is the set of labels (colors) and each edge e \in E has a label l(e) associated; The goal of the minimum labeling global cut problem (MLGCP) is to ... More

Safeguarding Quantum Key Distribution through Detection RandomizationOct 02 2014We propose and experimentally demonstrate a scheme to render the detection apparatus of a Quantum Key Distribution system immune to the main classes of hacking attacks in which the eavesdropper explores the back-door opened by the single-photon detectors. ... More

On The Cauchy Problem for the elliptic Zakharov-Schulman system in dimensions 2 and 3Feb 03 2010Jun 23 2011We prove that the Cauchy problem associated to the Zakharov-Schulman system $iu_t+L_1u=uv$, $L_2v=L_3(|u|^2)$ is locally well-posed for given initial data in Sobolev spaces $H^s(R^n)$, $s\geq n/4$, for n =2,3. Here, L_j denote second order operators, ... More

Discriminating word senses with tourist walks in complex networksJun 17 2013Patterns of topological arrangement are widely used for both animal and human brains in the learning process. Nevertheless, automatic learning techniques frequently overlook these patterns. In this paper, we apply a learning technique based on the structural ... More

Word sense disambiguation via high order of learning in complex networksFeb 18 2013Complex networks have been employed to model many real systems and as a modeling tool in a myriad of applications. In this paper, we use the framework of complex networks to the problem of supervised classification in the word disambiguation task, which ... More

Network-based stochastic competitive learning approach to disambiguation in collaborative networksMar 02 2013Many patterns have been uncovered in complex systems through the application of concepts and methodologies of complex networks. Unfortunately, the validity and accuracy of the unveiled patterns are strongly dependent on the amount of unavoidable noise ... More

Inflationary Super-Hubble Waves and the Size of the UniverseApr 03 2013Sep 22 2013The effect of the scalar spectral index on inflationary super-Hubble waves is to amplify/damp large wavelengths according to whether the spectrum is red ($n_{s}<1$) or blue ($n_{s}>1$). As a consequence, the large-scale temperature correlation function ... More

Large gravitons and near-horizon diffeomorphismsJan 17 2017Jan 26 2017Usual gauge fixing procedures in classical general relativity rely on the existence of solutions of a second order wave equation. We propose to use the equation to relate asymptotic symmetries at infinity to asymptotic symmetries of a black hole horizon, ... More

On Equilibrium Prices in Continuous TimeFeb 25 2008We combine general equilibrium theory and theorie generale of stochastic processes to derive structural results about equilibrium state prices.

Strain-Tunable GaAs Quantum dot: A Nearly Dephasing-Free Source of Entangled Photon Pairs on DemandJan 20 2018Oct 10 2018Entangled photon generation from semiconductor quantum dots via the biexciton-exciton cascade underlies various decoherence mechanisms related to the solid-state nature of the quantum emitters. So far, this has prevented the demonstration of nearly-maximally ... More

On-demand generation of background--free single photons from a solid-state sourceDec 19 2017Oct 15 2018True on--demand high--repetition--rate single--photon sources are highly sought after for quantum information processing applications. However, any coherently driven two-level quantum system suffers from a finite re-excitation probability under pulsed ... More

A solid-state entangled photon pair source with high brightness and indistinguishabilityMar 04 2019The generation of high-quality entangled photon pairs has been being a long-sought goal in modern quantum communication and computation. To date, the most widely-used entangled photon pairs are generated from spontaneous parametric downconversion, a process ... More

Stochastic Lipschitz Dynamic ProgrammingMay 06 2019May 23 2019We propose a new algorithm for solving multistage stochastic mixed integer linear programming (MILP) problems with complete continuous recourse. In a similar way to cutting plane methods, we construct nonlinear Lipschitz cuts to build lower approximations ... More

Nested distance for stagewise-independent processesNov 29 2017We prove that, for two discrete-time stagewise-independent processes with a stagewise metric, the nested distance is equal to the sum of the Wasserstein distances between the marginal distributions of each stage.

Resonance fluorescence of GaAs quantum dots with near-unity photon indistinguishabilityJan 28 2019Photonic quantum technologies call for scalable quantum light sources that can be integrated, while providing the end user with single and entangled photons on-demand. One promising candidate are strain free GaAs/AlGaAs quantum dots obtained by droplet ... More

Continuity of generalized wave maps on the sphereApr 09 2012Jul 25 2012We consider a generalization of wave maps based on the Adkins-Nappi model of nuclear physics. In particular, we show that solutions to this equation remain continuous at the origin, which is a first step towards establishing a regularity theory for this ... More

Asymptotic behavior for a non-autonomous model of neural fields with variable external stimulusDec 28 2017Mar 14 2018In this work we consider a class of nonlocal non-autonomous evolution equations, which generalizes the model of neuronal activity that arises in Amari (1979). Under suitable assumptions on the nonlinearity and on the parameters present in the equation, ... More

Map Memorization and Forgetting in the IARA Autonomous CarOct 04 2018In this work, we present a novel strategy for correcting imperfections in occupancy grid maps called map decay. The objective of map decay is to correct invalid occupancy probabilities of map cells that are unobservable by sensors. The strategy was inspired ... More

Electromagnetically Induced Transparency of On-demand Single Photons in a Hybrid Quantum NetworkAug 17 2018Long range quantum communication and quantum information processing require the development of light-matter interfaces for distributed quantum networks. Even though photons are ideal candidates for network links to transfer quantum information, the system ... More

Noncommutative Lp-Spaces and Perturbations of KMS StatesJun 09 2018Aug 09 2018We extend the theory of perturbations of KMS states to some class of unbounded perturbations using noncommutative Lp-spaces. We also prove certain stability of the domain of the Modular Operator associated to a ||.||p-continuous state. This allows us ... More

Spatial patterns of random walkers under evolution of the attractiveness: persistent nodes, degree distribution, and spectral propertiesOct 01 2017In this paper we explore the features of a graph generated by random walkers with nodes that have evolutionary attractiveness and Boltzmann-like transition probabilities that depend both on the euclidean distance between the nodes and on the ratio ($\beta ... More

Isoperimetric regions in H^2 between parallel horocyclesJun 22 2009Oct 21 2009In this work we investigate the following isoperimetric problem in the hyperbolic plane: to find the regions of prescribed area with minimal perimeter between two parallel horocycles. We give an explicit and detailed description of all such regions.

Strong laws of large numbers for arrays of row-wise extended negatively dependent random variablesApr 02 2019The main purpose of this paper is to obtain strong laws of large numbers for arrays or weighted sums of random variables under a scenario of dependence. Namely, for triangular arrays $\{X_{n,k}, \, 1 \leqslant k \leqslant n, \, n \geqslant 1 \}$ of row-wise ... More

A Proposed Search for the Detection of Gravitational Waves from Eccentric Binary Black HolesNov 30 2015Most of compact binary systems are expected to circularize before the frequency of emitted gravitational waves (GWs) enters the sensitivity band of the ground based interferometric detectors. However, several mechanisms have been proposed for the formation ... More

Benford or not Benford: new results on digits beyond the firstMay 02 2018In this paper, we will see that the proportion of d as p th digit, where p > 1 and d $\in$ 0, 9, in data (obtained thanks to the hereunder developed model) is more likely to follow a law whose probability distribution is determined by a specific upper ... More

Spectral properties of anti-heptadiagonal persymmetric Hankel matricesJun 29 2019In this paper we express the eigenvalues of anti-heptadiagonal persymmetric Hankel matrices as the zeros of explicit polynomials giving also a representation of its eigenvectors. We present also an expression depending on localizable parameters to compute ... More

Perturbations of KMS States and Noncommutative Lp-spacesNov 12 2018Mar 20 2019We extend the theory of perturbations of KMS states to a class of unbounded perturbations using noncommutative $L_p$-spaces. We also prove certain stability of the domain of the Modular Operator associated with a ||.||p-continuous state. This allows us ... More

Fold-Forms for Four-FoldsSep 22 2009This paper explains an application of Gromov's h-principle to prove the existence, on any orientable 4-manifold, of a folded symplectic form. That is a closed 2-form which is symplectic except on a separating hypersurface where the form singularities ... More

Lecture Notes on Noncommutative Lp-SpacesMar 06 2018These lecture notes were written during a mini-course on noncommutative Lp-spaces at the Basque Center of Applied Mathematics. It starts presenting the theory of weights and traces in von Neumann algebra, followed by the theory of noncommutative measure. ... More

New Identities from a Combinatorial Approach to Generalized Fibonacci and Generalized Lucas NumbersDec 12 2013Sep 04 2016We present here some new identities for generalizations of Fibonacci and Lucas numbers by combinatorially interpreting these numbers in terms of numbers of certain tilings of a $1 \times m$ board. As a consequence, some new interesting identities involving ... More

On the Gorensteinization of Schubert Varieties via Boundary DivisorsJul 14 2018Aug 19 2019We will describe a one-step "Gorensteinization" process for a Schubert variety by blowing-up along its boundary divisor. The local question involves Kazhdan-Lusztig varieties which can be degenerated to affine toric schemes defined using the Stanley-Reisner ... More

Guidelines for the Calculation of Bound Molecular SpectraSep 15 2005Line-by-line calculations are becoming the standard procedure for carrying spectral simulations. However, it is important to insure the accuracy of such spectral simulations through the choice of adapted models for the simulation of key parameters such ... More

Almost sure convergence for weighted sums of pairwise PQD random variablesDec 24 2018We obtain Marcinkiewicz-Zygmund strong laws of large numbers for weighted sums of pairwise positively quadrant dependent random variables stochastically dominated by a random variable $X \in \mathscr{L}_{p}$, $1 \leqslant p < 2$. We use our results to ... More

Multimodal vs. Unimodal Physiological Control in Videogames for Enhanced Realism and DepthJun 02 2014(arXiv abridged abstract) In the last two decades, videogames have evolved in a nearly explosive way from the pixelated graphics to today's near-realistic 3D environments. The interaction devices traditionally used in videogames have not evolved with ... More

A Chiang-type Lagrangian in CP2Nov 06 2015We analyse a simple Chiang-type lagrangian in CP2 which is topologically an RP2 but exhibits a distinguishing behaviour under reduction by one of the toric circle actions, in particular it is a one-to-one transverse lifting of a great circle in CP1.

Benford or not Benford: a systematic but not always well-founded use of an elegant law in experimental fieldsApr 17 2018Jun 12 2018In this paper, we will see that the proportion of d as leading digit, d $\in$ 1, 9, in data (obtained thanks to the hereunder developed model) is more likely to follow a law whose probability distribution is determined by a specific upper bound, rather ... More

Strict Bott-Samelson Resolutions of Schubert VarietiesFeb 11 2017Jan 02 2018We explore the relationship between two desingularization techniques for Schubert varieties. The Bott-Samelson resolution is the more common of the two, but it fails to encompass many properties that Hironaka resolutions provide, in particular, being ... More

Spectral properties for a type of heptadiagonal symmetric matricesJul 16 2019In this paper we express the eigenvalues of a sort of real heptadiagonal symmetric matrices as the zeros of explicit rational functions establishing upper and lower bounds for each of them. From these prescribed eigenvalues we compute also eigenvectors ... More

On the spectral properties of real anti-tridiagonal Hankel matricesFeb 19 2019In this paper we express the eigenvalues of real anti-tridiagonal Hankel matrices as the zeros of given rational functions. We still derive eigenvectors for these structured matrices at the expense of prescribed eigenvalues.

A new generalized field of valuesDec 17 2010Given a right eigenvector $x$ and a left eigenvector $y$ associated with the same eigenvalue of a matrix $A$, there is a Hermitian positive definite matrix $H$ for which $y=Hx$. The matrix $H$ defines an inner product and consequently also a field of ... More

Lower semicontinuity of global attractors for a class of evolution equations type neural fields in a bounded domainDec 24 2013In this work we consider the nonlocal evolution equation $$ \frac{\partial u(w,t)}{\partial t}=-u(w,t)+ \int_{S^{1}}J(wz^{-1})f(u(z,t))dz+ h, \,\,\, h > 0 $$ which arises in models of neuronal activity, in $L^{2}(S^{1})$, where $S^{1}$ denotes the unit ... More

Multilevel LDPC Lattices with Efficient Encoding and Decoding and a Generalization of Construction D'Dec 21 2017Nov 22 2018Lattice codes are elegant and powerful structures that not only can achieve the capacity of the AWGN channel but are also a key ingredient to many multiterminal schemes that exploit linearity properties. However, constructing lattice codes that can realize ... More

A method to identify and characterise binary candidates - a study of CoRoT dataMar 25 2011Mar 31 2011The analysis of the CoRoT space mission data was performed aiming to test a method that selects, among the several light curves observed, the transiting systems that likely host a low-mass star orbiting the main target. The method identifies stellar companions ... More

Asymptotic Behavior of neural fields in an unbounded domainDec 29 2013In this paper, we prove the existence of a compact global attractor for the flow generated by equation $$ \frac{\partial u}{\partial t}(x,t)+u(x,t)= \int_{\mathbb{R}^{N}}J(x-y)(f( u(y,t))dy+ h, \quad h > 0, \quad x\in \mathbb{R}^{N}, \quad t\in\mathbb{R}_{+} ... More

On the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite FieldsJul 04 2014We find a basis for the $G$-graded identities of the $n\times n$ matrix algebra $M_n(K)$ over an infinite field $K$ of characteristic $p>0$ with an elementary grading such that the neutral component corresponds to the diagonal of $M_n(K)$.

Extended $Λ$CDM model and viscous dark energy: A Bayesian analysisOct 09 2018May 22 2019We propose an approach considering the nonextensive effects in the context of the Verlinde theory in order to address an extended cosmological model in the context of viscous dark energy. Specifically, this model leads to a tiny perturbation in the dynamics ... More

Characterization of manifolds of constant curvature by spherical curvesSep 16 2018Jun 24 2019It is known that the so-called rotation minimizing (RM) frames allow for a simple and elegant characterization of geodesic spherical curves in Euclidean, hyperbolic, and spherical spaces through a certain linear equation involving the coefficients that ... More

Galois Groups in the work of Mira FernandesJan 08 2011In connection to a review of the writings on Galois Theory of the Portuguese mathematician Aureliano Mira Fernandes at turn of the XXth century a brief narrative is presented on how the group theory concepts discovered by Galois are connected to previous ... More

The geometry of Gauss map and shape operator in simply isotropic and pseudo-isotropic spacesJan 03 2018May 31 2019In this work, we are interested in the differential geometry of surfaces in simply isotropic $\mathbb{I}^3$ and pseudo-isotropic $\mathbb{I}_{\mathrm{p}}^3$ spaces, which consists of the study of $\mathbb{R}^3$ equipped with a degenerate metric such as ... More

Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifoldsMar 14 2018Nov 03 2018For a right-invariant control system on a flag manifold $\mathbb{F}_{\Theta}$ of a real semisimple Lie group, we relate the $\mathfrak{a}$-Lyapunov exponents to the Lyapunov exponents of the system over regular points. Moreover, we adapt the concept of ... More

Rotation minimizing frames and spherical curves in simply isotropic and pseudo-isotropic 3-spacesJul 19 2017Jun 24 2019In this work, we are interested in the differential geometry of curves in the simply isotropic and pseudo-isotropic 3-spaces, which are examples of Cayley-Klein geometries whose absolute figure is given by a plane at infinity and a degenerate quadric. ... More

Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spacesSep 28 2018Nov 14 2018We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero and ... More

The control set of a linear control system on the two dimensional solvable Lie groupNov 09 2018In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending ... More

On the Optimization of BitTorrent-Like Protocols for Interactive On-Demand Streaming SystemsOct 08 2014This paper proposes two novel optimized BitTorrent-like protocols for interactive multimedia streaming: the Simple Interactive Streaming Protocol (SISP) and the Exclusive Interactive Streaming Protocol (EISP). The former chiefly seeks a trade-off between ... More

Moving frames and the characterization of curves that lie on a surfaceJul 19 2016Jul 17 2017In this work we are interested in the characterization of curves that belong to a given surface. To the best of our knowledge, there is no known general solution to this problem. Indeed, a solution is only available for a few examples: planes, spheres, ... More

On Oda's Strong Factorization ConjectureNov 24 2009The Oda's Strong Factorization Conjecture states that a proper birational map between smooth toric varieties can be decomposed as a sequence of smooth toric blowups followed by a sequence of smooth toric blowdowns. This article describes an algorithm ... More

Invariance Entropy of Hyperbolic Control SetsAug 11 2014In this paper, we improve the known estimates for the invariance entropy of a nonlinear control system. For sets of complete approximate controllability we derive an upper bound in terms of Lyapunov exponents and for uniformly hyperbolic sets we obtain ... More

Harmonically free group actions and equivariant bifurcation in the Yamabe problemNov 18 2016We study multiplicity of constant scalar curvature metrics in products of a compact closed manifold and a compact manifold with boundary using equivariant bifurcation theory.

Robustness of critical bit rates for practical stabilization of networked control systemsOct 24 2016In this paper we address the question of robustness of critical bit rates for the stabilization of networked control systems over digital communication channels. For a deterministic nonlinear system, the smallest bit rate above which practical stabilization ... More

Characterization of Spherical and Plane Curves Using Rotation Minimizing FramesJun 06 2017Aug 05 2019In this work, we study plane and spherical curves in Euclidean and Lorentz-Minkowski 3-spaces by employing rotation minimizing (RM) frames. By conveniently writing the curvature and torsion for a curve on a sphere, we show how to find the angle between ... More

You are What you Eat (and Drink): Identifying Cultural Boundaries by Analyzing Food & Drink Habits in FoursquareApr 03 2014Food and drink are two of the most basic needs of human beings. However, as society evolved, food and drink became also a strong cultural aspect, being able to describe strong differences among people. Traditional methods used to analyze cross-cultural ... More

Entanglement of spin-1/2 Heisenberg Antiferromagnetic quantum spin chainsMay 14 2016The quantum entanglement measure is determined, for the first time, for a collection of spin-1/2 arranged in a infinite chain with finite temperature and applied to a single-crystal \beta-\mathrm{T_eVO_4}. The physical quantity proposed here to measure ... More

Hyperbolic Chain Control Sets on Flag ManifoldsFeb 24 2014In this paper we study the chain control sets of right-invariant control systems on the flag manifolds of a non-compact semisimple Lie group. We prove that each chain control set is partially (skew-) hyperbolic over the associated control flow. Moreover, ... More

Photospheric parameters and C abundances in solar-like stars with and without planetsOct 01 2009We have been analyzing a large sample of solar-like stars with and without planets in order to homogeneously measure their photospheric parameters and Carbon abundances. Our sample contains around 200 stars in the solar neighborhood observed with the ... More

Invariance entropy for a class of partially hyperbolic setsNov 03 2017May 09 2018Invariance entropy is a measure for the smallest data rate in a noiseless digital channel above which a controller that only receives state information through this channel is able to render a given subset of the state space invariant. In this paper, ... More

Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spacesSep 28 2018Jun 24 2019We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, the simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero ... More

Rigidity for critical metrics of the volume functionalJun 22 2017Sep 25 2017Geodesic balls in a simply connected space forms $\mathbb{S}^n$, $\mathbb{R}^{n}$ or $\mathbb{H}^{n}$ are distinguished manifolds for comparison in bounded Riemannian geometry. In this paper we show that they have the maximum possible boundary volume ... More

Controllability of linear systems on Lie groups with finite semisimple centerJan 04 2016In this paper we extend the results on controllability of linear systems obtained in "Controllability of linear systems on solvable Lie groups", from solvable Lie groups to Lie groups with finite semisimple center.

Surfaces of revolution with prescribed mean and skew curvatures in Lorentz-Minkowski spaceApr 01 2018Apr 11 2018In this work, we investigate the problem of finding surfaces in the Lorentz-Minkowski 3-space with prescribed skew (S) and mean (H) curvatures, which are defined through the discriminant of the characteristic polynomial of the shape operator and its trace, ... More

Self-Driving Cars: A SurveyJan 14 2019We survey research on self-driving cars published in the literature focusing on autonomous cars developed since the DARPA challenges, which are equipped with an autonomy system that can be categorized as SAE level 3 or higher. The architecture of the ... More

Comment on "Quasinormal modes of Schwarzschild anti de Sitter black holes: Electromagnetic and gravitational perturbations"Oct 14 2015The quasinormal modes of the electromagnetic and gravitational perturbation on Schwarzschild-AdS black hole calculated by Cardoso and Lemos has been revisited. Although the equations of motion are correct some frequencies calculated previously by the ... More

Optimal control of a delayed HIV modelAug 21 2017We propose a model for the human immunodeficiency virus type 1 (HIV-1) infection with intracellular delay and prove the local asymptotical stability of the equilibrium points. Then we introduce a control function representing the efficiency of reverse ... More

Gender Matters! Analyzing Global Cultural Gender Preferences for Venues Using Social SensingMar 18 2017Gender differences is a phenomenon around the world actively researched by social scientists. Traditionally, the data used to support such studies is manually obtained, often through surveys with volunteers. However, due to their inherent high costs because ... More

A Fully Attention-Based Information RetrieverOct 22 2018Recurrent neural networks are now the state-of-the-art in natural language processing because they can build rich contextual representations and process texts of arbitrary length. However, recent developments on attention mechanisms have equipped feedforward ... More

Categorical Aspects of the Double Structure of a ModuleApr 27 2017Sep 28 2017In this work we develop some categorical aspects of the double structure of a module.

Montagem de um sistema de projeção digital para domo hemisféricoMay 24 2010In this work we present an alternative to a full dome digital projection system. The system presented is based upon a single projector coupled to the optical lens (fisheye and objective lens) to scatter the light onto the dome surface. This alternative ... More

Perturbation of a nonautonomous problem in $\mathbb{R}^n$Nov 22 2011In this paper we prove a stability result about the asymptotic dynamics of a perturbed nonautonomous evolution equation in $\mathbb{R}^n$ governed by a maximal monotone operator.

Fractional elliptic problems with nonlinear gradient sources and measuresJun 06 2019In this manuscript we deal with existence/uniqueness and regularity issues of suitable weak solutions to nonlocal problems driven by fractional Laplace type operators. Different from previous researches, in our approach we consider gradient non-linearity ... More

SafeGuardPF: Safety Guaranteed Reactive Potential Fields for Mobile Robots in Unknown and Dynamic EnvironmentsSep 22 2016An autonomous navigation with proven collision avoidance in unknown and dynamic environments is still a challenge, particularly when there are moving obstacles. A popular approach to collision avoidance in the face of moving obstacles is based on model ... More

Graded identities of simple real graded division algebrasOct 09 2015Feb 26 2016Let A and B be finite dimensional simple real algebras with division gradings by an abelian group G. In this paper we give necessary and sufficient conditions for the coincidence of the graded identities of A and B. We also prove that every finite dimensional ... More

Weightless Neural Network with Transfer Learning to Detect Distress in AsphaltJan 03 2019The present paper shows a solution to the problem of automatic distress detection, more precisely the detection of holes in paved roads. To do so, the proposed solution uses a weightless neural network known as Wisard to decide whether an image of a road ... More

Aqueous solution interactions with sex hormone-binding globulin and estradiol: A theoretical investigationMay 22 2017Sex hormone-binding globulin (SHBG) is a binding protein that regulates availability of steroids hormones in the plasma. Although best known as steroid carrier, studies have associated SHBG in modulating behavioral aspects related to sexual receptivity. ... More

Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equationFeb 02 2019Jun 01 2019In this paper we consider a four-parameter equation including the Camassa-Holm and the Dulling-Gottwald-Holm equations, among others. We prove the existence and uniqueness of solutions to a Cauchy problem involving the equation using Kato's approach. ... More

Monomialization of a quasianalytic morphismJul 22 2019We prove a monomialization theorem for mappings in general classes of infinitely differentiable functions that are called quasianalytic. Examples include Denjoy-Carleman classes (of interest in real analysis), the class of infinitely differentiable functions ... More

Regularization of Discontinuous Foliations: Blowing up and Sliding Conditions via Fenichel TheoryJun 22 2017We study the regularization of an oriented 1-foliation $\mathcal{F}$ on $M \setminus \Sigma$ where $M$ is a smooth manifold and $\Sigma \subset M$ is a closed subset, which can be interpreted as the discontinuity locus of $\mathcal{F}$. In the spirit ... More

When and how much the altruism impacts your privileged information? Proposing a new paradigm in game theory: The boxers gameNov 30 2017Feb 22 2018In this work, we proposed a new $N$-person game in which the players can bet on two options, for example represented by two boxers. Some of the players have privileged information about the boxers and part of them can provide this information to uninformed ... More