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The failure of the Classical Nucleation Theory at low temperatures resolvedFeb 08 2019A relevant observation about crystal nucleation kinetics in glass-forming substances has been a matter of intense debate for several decades. The Classical Nucleation Theory (CNT) allegedly fails to describe the temperature dependence of the homogeneous ... More

Entity-Relationship Search over the WebOct 08 2018Entity-Relationship (E-R) Search is a complex case of Entity Search where the goal is to search for multiple unknown entities and relationships connecting them. We assume that a E-R query can be decomposed as a sequence of sub-queries each containing ... More

Learning Word Embeddings from the Portuguese Twitter Stream: A Study of some Practical AspectsSep 04 2017This paper describes a preliminary study for producing and distributing a large-scale database of embeddings from the Portuguese Twitter stream. We start by experimenting with a relatively small sample and focusing on three challenges: volume of training ... More

Embedding Second Class Systems via Symplectic Gauge-invariant FormalismSep 11 2001In this paper we reformulate Abelian and non-Abelian noninvariant systems as gauge invariant theories using a new constraint conversion scheme, developed on the symplectic framework. This conversion method is not plagued by the ambiguity problem that ... More

Clustering and synchronization with positive Lyapunov exponentsDec 18 1998Clustering and correlation effects are frequently observed in chaotic systems in situations where, because of the positivity of the Lyapunov exponents, no dimension reduction is to be expected. In this paper, using a globally coupled network of Bernoulli ... More

On the possibility of setting a new constraint to scalar-tensor theoriesDec 21 2014Mar 12 2015Scalar-tensor theories (STTs) are a widely studied alternative to General Relativity (GR) in which gravity is endowed with an additional scalar degree of freedom. Although severely constrained by solar system and pulsar timing experiments, there remains ... More

On Ranks of Jacobian Varieties in Prime Degree ExtensionsSep 05 2012In Dokchitser (2007) it is shown that given an elliptic curve $E$ defined over a number field $K$ then there are infinitely many degree 3 extensions $L/K$ for which the rank of $E(L)$ is larger than $E(K)$. In the present paper we show that the same is ... More

Multiple-antenna fading coherent channels with arbitrary inputs: Characterization and optimization of the reliable information transmission rateOct 25 2012We investigate the constrained capacity of multiple-antenna fading coherent channels, where the receiver knows the channel state but the transmitter knows only the channel distribution, driven by arbitrary equiprobable discrete inputs in a regime of high ... More

Conditional exponents, entropies and a measure of dynamical self-organizationFeb 05 1998Mar 19 1998In dynamical systems composed of interacting parts, conditional exponents, conditional exponent entropies and cylindrical entropies are shown to be well defined ergodic invariants which characterize the dynamical selforganization and statitical independence ... More

Functoriality and K-theory for $GL_n(\mathbb{R})$Oct 13 2015We investigate base change and automorphic induction $\mathbb{C}/\mathbb{R}$ at the level of K-theory for the general linear group $GL_n(\mathbb{R})$. In the course of this study, we compute in detail the C*-algebra K-theory of this disconnected group. ... More

Navier-Stokes Equation on the RectangleApr 15 2005We study controllability issues for the Navier-Stokes Equation on a two dimensional rectangle with so-called Lions boundary conditions. Rewriting the Equation using a basis of harmonic functions we arrive to an infinite-dimensional system of ODEs. Methods ... More

Direct off-line robot programming via a common CAD packageSep 09 2013This paper focuses on intuitive and direct off-line robot programming from a CAD drawing running on a common 3-D CAD package. It explores the most suitable way to represent robot motion in a CAD drawing, how to automatically extract such motion data from ... More

Thermodynamic Hypothesis as Social Choice: An Impossibility Theorem for Protein FoldingApr 02 2014Protein Folding is concerned with the reasons and mechanism behind a protein's tertiary structure. The thermodynamic hypothesis of Anfinsen postulates an universal energy function (UEF) characterizing the tertiary structure, defined consistently across ... More

A Computational Model of Liver Iron MetabolismAug 27 2013Iron is essential for all known life due to its redox properties, however these same properties can also lead to its toxicity in overload through the production of reactive oxygen species. Robust systemic and cellular control are required to maintain ... More

Base change and K-theory for GL(n,R)Jul 21 2006May 27 2009We investigate base change $C/R$ at the level of $K$-theory for the general linear group $GL(n,R)$. In the course of this study, we compute in detail the $C*$-algebra $K$-theory of this disconnected group. We investigate the interaction of base change ... More

Base change and K-theory for GL(n)Jun 06 2006Feb 15 2007Let F be a nonarchimedean local field and let G = GL(n) = GL(n,F). Let E/F be a finite Galois extension. We investigate base change E/F at two levels: at the level of algebraic varieties, and at the level of K-theory. We put special emphasis on the representations ... More

Integral Points on Elliptic Curves and the Bombieri-Pila BoundsJan 17 2013Jan 24 2013Let C be an affine, plane, algebraic curve of degree d with integer coefficients. In 1989, Bombieri and Pila showed that if one takes a box with sides of length N then C can obtain no more than O_{d,\epsilon}(N^{1/d+\epsilon}) integer points within the ... More

The degree of the generators of the canonical ring of surfaces with p_g=0Mar 06 1997It is shown that the canonical ring of a minimal surface of general type with $p_g=0, K^2\geq 2$ is generated by its elements of degree lesser or equal to 5, provided $|2K|$ has no fixed components, and that this bound can be lowered to 4 under the assumption ... More

An infinite-dimensional calculus for gauge theoriesMay 08 2010A space for gauge theories is defined, using projective limits as subsets of Cartesian products of homomorphisms from a lattice on the structure group. In this space, non-interacting and interacting measures are defined as well as functions and operators. ... More

Smooth basic functionsNov 19 2015We prove a Slice Theorem around closed leaves in a singular Riemannian foliation, and we use it to study the $C^\infty$-algebra of smooth basic functions, generalizing to the inhomogeneous setting a number of results by G.~Schwarz. In particular, in the ... More

A stochastic representation for the Poisson-Vlasov equationNov 20 2006A stochastic representation for the solutions of the Poisson-Vlasov equation is obtained. The representation involves both an exponential and a branching process. The stochastic representation, besides providing an alternative existence proof and an intuitive ... More

Innovation Success and Structural Change: An Abstract Agent Based StudySep 17 2007A model is developed to study the effectiveness of innovation and its impact on structure creation and structure change on agent-based societies. The abstract model that is developed is easily adapted to any particular field. In any interacting environment, ... More

Severi type inequalities for irregular surfaces with ample canonical classApr 06 2009Let S be a smooth minimal complex projective surface of maximal Albanese dimension. Under the assumption that the canonical class of S is ample and the irregularity of S, q(S), is greater or equal to 5 we show that K^2>= 4\chi(S)+(10/3)q(S)-8, thus improving ... More

Fluctuations and control in the Vlasov-Poisson equationDec 21 2006In this paper we study the fluctuation spectrum of a linearized Vlasov-Poisson equation in the presence of a small external electric field. Conditions for the control of the linear fluctuations by an external electric field are established.

A Stochastic Process for the Dynamics of the Turbulent CascadeJul 29 1994Velocity increments over a distance r and turbulent energy dissipation on a box of size r are well described by the multifractal models of fully developed turbulence. These quantities and models however, do not involve time-correlations and therefore ... More

Neural networks and logical reasoning systems. A translation tableAug 04 1998A correspondence is established between the elements of logic reasoning systems (knowledge bases, rules, inference and queries) and the hardware and dynamical operations of neural networks. The correspondence is framed as a general translation dictionary ... More

A connected component of the moduli space of surfaces of general type with $p_g=0$Oct 04 1999Let S be a minimal surface of general type with $p_g(S)=0$ and such that the bicanonical map $\phi:S\to \pp^{K^2_S}$ is a morphism: then the degree of $\phi$ is at most 4 and if it is equal to 4 then $K^2_S\le 6$. Here we prove that if $K^2_S=6$ and $\deg ... More

Deformations of Legendrian CurvesJul 11 2016We construct versal and equimultiple versal deformations of the parametrization of a Legendrian curve.

Non-commutative space-time and the uncertainty principleJun 12 2001The full algebra of relativistic quantum mechanics (Lorentz plus Heisenberg) is unstable. Stabilization by deformation leads to a new deformation parameter $\epsilon \ell ^{2}$, $\ell $ being a length and $\epsilon$ a $\pm$ sign. The implications of the ... More

On the algebraic fundamental group of surfaces with K^2\leq 3χDec 21 2005Mar 16 2007Let S be a minimal complex surface of general type with $q(S)=0$. We prove the following statements concerning the algebraic fundamental group: I) Assume that K^2_S\leq 3\chi(S). Then S has an irregular etale cover if and only if S has a free pencil of ... More

On plane polynomial automorphisms commuting with simple derivationsApr 17 2016Jun 16 2016We consider the subgroup Aut(D) consisting of automorphisms of K[x,y] commuting with a derivation D, where K is an algebraically closed field of characteristic 0. We prove that if D is simple (i.e. D does not stabilize non-trivial ideals), then Aut(D)=1, ... More

Fano-like Anti-resonances in Nanomechanical and Optomechanical SystemsAug 08 2008Feb 11 2009We study a resonator coupled to a generic detector and calculate the noise spectra of the two sub-systems. We describe the coupled system by a closed, linear, set of Langevin equations and derive a general form for the finite frequency noise of both the ... More

Anisotropic Cosmological Constant and the CMB Quadrupole AnomalyAug 08 2007Jan 25 2008There are evidences that the cosmic microwave background (CMB) large-angle anomalies imply a departure from statistical isotropy and hence from the standard cosmological model. We propose a LCDM model extension whose dark energy component preserves its ... More

Evolution of Anisotropies in Eddington-Born-Infeld CosmologyJun 23 2008Sep 16 2008Recently a Born-Infeld action for dark energy and dark matter that uses additional affine connections was proposed. At background level, it was shown that the new proposal can mimic the standard cosmological evolution. In Bianchi cosmologies, contrary ... More

On the Dirac OscillatorJul 08 2007Dec 18 2007In the present work we obtain a new representation for the Dirac oscillator based on the Clifford algebra $C\ell_7.$ The symmetry breaking and the energy eigenvalues for our model of the Dirac oscillator are studied in the non-relativistic limit.

Application of SIR epidemiological model: new trendsNov 08 2016The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even sociology, several are ... More

Formation of a Black Hole in the DarkMay 12 2003We show that the black hole in the x-ray binary Cygnus X-1 was formed in situ and did not receive an energetic trigger from a nearby supernova. The progenitor of the black hole had an initial mass greater than 40 solar masses and during the collapse to ... More

A gradient descent technique coupled with a dynamic simulation to determine the near optimum orientation of floor plan designsJul 25 2013Aug 04 2013A prototype tool to assist architects during the early design stage of floor plans has been developed, consisting of an Evolutionary Program for the Space Allocation Problem (EPSAP), which generates sets of floor plan alternatives according to the architect's ... More

Function and form in networks of interacting agentsSep 07 2000The main problem we address in this paper is whether function determines form when a society of agents organizes itself for some purpose or whether the organizing method is more important than the functionality in determining the structure of the ensemble. ... More

Irregular canonical double surfacesNov 25 1996Feb 27 1997We study minimal surfaces X of general type with $K^2_X=6p_g-14$ and $q(X)>0$ such that $K_X$ is ample, the image of the canonical map is a canonically embedded surface of general type and the canonical map is not birational. The main result states that ... More

The classification of surfaces with $p_g=0$, $K^2=6$ and non birational bicanonical mapJan 13 2003Feb 19 2003Let $S$ be a minimal surface of general type with $p_g=0$ and $K^2=6$, such that its bicanonical map $\fie\colon S\to\pp^6$ is not birational. The map $\fie$ is a morphism of degree $\le 4$ onto a surface. The case of $\deg\fie=4$ is completely characterized ... More

The base components of the dualizing sheaf of a curve on a surfaceOct 24 2007This note studies the structure of the divisorial fixed part of the dualizing sheaf of a 1-connected curve D on a smooth surface S. It is shown that if the divisorial fixed part F of the dualizing sheaf is non empty then it has arithmetic genus<1 and ... More

Quantum control in infinite dimensionsNov 06 2003Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing. Conditions of controllability for systems with a finite number of energy levels have been extensively ... More

On surfaces with $p_g=2$, $q=1$ and non-birational bicanonical mapMar 01 2002In the present note we show that any surface of general type with $p_g=2$,$q=1$ and non-birational bicanonical map has a pencil of curves of genus 2. Combining this result with previous ones, one obtains thatan irregular surface $S$ of general type with ... More

The order of finite algebraic fundamental groups of surfaces with K^2<=3χ-2May 29 2006We study the structure of the algebraic fundamental group for minimal surfaces of general type S satisfying K_S^2<=3\chi-2$ and not having any irregular etale cover. We show that, if K_S^2<=3\chi-2, then then the algebraic fundamental group of S has order ... More

The geography of irregular surfacesSep 28 2009We give an overview of results on irregular complex surfaces of general type, discussing in particular the distribution of the numerical invariants self-intersection of a canonical divisor and holomorphic Euler characteristic for the minimal ones. This ... More

Random sampling in chirp spaceNov 20 2006For the space of functions that can be approximated by linear chirps, we prove a reconstruction theorem by random sampling at arbitrary rates.

Conjecture on a classification criterion for holonomies for the U(1) groupJan 07 2005Our main goal is to find a criterion to classify if a given group have a structure similar to a U(1) Lie group.

A uniform bound on the canonical degree of Albanese defective curves on surfacesMar 22 2011Mar 15 2012Let S be a minimal complex surface of general type with irregularity q>=2 and let C be an irreducible curve of geometric genus g contained in S. Assume that C is "Albanese defective", i.e., that the image of C via the Albanese map does not generate the ... More

The $q$-Deformed Wigner Oscillator in Quantum MechanicsAug 28 2003Using a super-realization of the Wigner-Heisenberg algebra a new realization of the q-deformed Wigner oscillator is implemented.

The Quantum Mechanics SUSY Algebra: An Introductory ReviewMay 02 2002Sep 12 2002Starting with the Lagrangian formalism with N=2 supersymmetry in terms of two Grassmann variables in Classical Mechanics, the Dirac canonical quantization method is implemented. The N=2 supersymmetry algebra is associated to one-component and two-component ... More

Parametrization for a class of Rauzy FractalSep 03 2014Feb 16 2016In this paper, we study a class of Rauzy fractals ${\mathcal R}_a$ given by the polynomial $x^3- ax^2+x-1$ where $a \geq 2$ is an integer. In particular we give explicitly an automaton that generates the boundary of ${\mathcal R}_a$ and using an exotic ... More

Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluidNov 20 2006In the analysis of the long-time behaviour of two-dimensional incompressible viscous fluids, Oseen vortices play a major role as attractors of any homogeneous solution with integrable initial vorticity. As a first step in the study of the density-dependent ... More

Feedback boundary stabilization to trajectories for 3D Navier-Stokes equationsAug 04 2015Given a nonstationary trajectory of the Navier-Stokes system, a finite-dimensional feedback boundary controller stabilizing locally the system to the given trajectory is derived. Moreover the controller is supported in a given open subset of the boundary ... More

Existence of non-trivial embeddings of Interval Exchange Transformations into Piecewise IsometriesJan 29 2019We prove that almost every interval exchange transformation, with an associated translation surface of genus $g\geq 2$, can be non-trivially and isometrically embedded in a family of piecewise isometries. In particular this proves the existence of invariant ... More

Weighted geometric inequalities for hypersurfaces in sub-static manifoldsFeb 19 2019We prove two weighted geometric inequalities that hold for strictly mean convex and star-shaped hypersurfaces in Euclidean space. The first one involves the weighted area and the area of the hypersurface and also the volume of the region enclosed by the ... More

Covering coalgebras and dual non-singularityJun 28 2006Localisation is an important technique in ring theory and yields the construction of various rings of quotients. Colocalisation in comodule categories has been investigated by some authors where the colocalised coalgebra turned out to be a suitable subcoalgebra. ... More

Differential Forms on Riemannian (Lorentzian) and Riemann-Cartan Structures and Some Applications to PhysicsDec 19 2007Dec 04 2008In this paper after recalling some essential tools concerning the theory of differential forms in the Cartan, Hodge and Clifford bundles over a Riemannian or Riemann-Cartan space or a Lorentzian or Riemann-Cartan spacetime we solve with details several ... More

Actions des groupes topologiques sur les objets universelsJun 06 2011Feb 02 2012In this thesis, we study the existence of universal objets of two differents types in the theory of topological groups and theirs actions on compacts spaces. In the first part, we contribute to the problem of existence of test spaces for amenability. ... More

Space-modulated Stability and Averaged DynamicsDec 18 2015In this brief note we give a brief overview of the comprehensive theory, recently obtained by the author jointly with Johnson, Noble and Zumbrun, that describes the nonlinear dynamics about spectrally stable periodic waves of parabolic systems and announce ... More

Order-preserving Renaming in Synchronous Message Passing Systems with Byzantine FaultsMay 02 2012Mar 03 2013Renaming is a fundamental problem in distributed computing, which consists of a set of processes picking distinct names from a given namespace. The paper presents algorithms that solve order-preserving renaming in synchronous message passing systems with ... More

Random Walk on Directed Dynamic GraphsJan 31 2011Feb 01 2011Dynamic graphs have emerged as an appropriate model to capture the changing nature of many modern networks, such as peer-to-peer overlays and mobile ad hoc networks. Most of the recent research on dynamic networks has only addressed the undirected dynamic ... More

Strange attractors and non wandering domains near a homoclinic cycle to a bifocusJan 11 2018In this paper, we explore the hyperchaotic set near a homoclinic cycle to a hyperbolic bifocus at which the vector field has negative divergence. If the invariant manifolds of the bifocus satisfy a non-degeneracy condition, a sequence of hyperbolic suspended ... More

Sheaves as modulesNov 28 2007Jan 28 2008We revisit sheaves on locales by placing them in the context of the theory of quantale modules. The local homeomorphisms $p:X\to B$ are identified with the Hilbert $B$-modules that are equipped with a natural notion of basis. The homomorphisms of these ... More

Improving the IMEX method with a residual balanced decompositionMay 13 2017Feb 08 2019In numerical time-integration with implicit-explicit (IMEX) methods, a within-step adaptable decomposition called residual balanced decomposition is introduced. With this decomposition, the requirement of a small enough residual in the iterative solver ... More

A spinorial approach to constant scalar curvature hypersurfaces in pseudo-hyperbolic manifoldsJun 04 2018Using spinorial techniques, we prove, for a class of pseudo-hyperbolic ambient manifolds, a Heintze-Karcher type inequality. We then use this inequality to show an Alexandrov type theorem in such spaces.

Charge-tuneable biexciton complexes in monolayer WSe$_{2}$May 13 2018Multi-exciton states such as biexcitons, albeit theoretically predicted, have remained challenging to identify in atomically thin transition metal dichalcogenides so far. Here, we use excitation-power, electric-field and magnetic-field dependence of photoluminescence ... More

Intervalley scattering of graphene massless Dirac fermions at 3-periodic grain boundariesJul 12 2016We study how low-energy charge carriers scatter off periodic and linear graphene grain boundaries oriented along the zigzag direction with a periodicity three times greater than that of pristine graphene. These defects map the two Dirac points into the ... More

Comparing pion production models to MiniBooNE dataFeb 19 2014Predictions for neutrino-induced charged- and neutral-current single pion production on CH_2 from theoretical models and Monte Carlo event generators are compared with the cross section measurements from the MiniBooNE experiment.

Generalized Ladder Operators for the Dirac-Coulomb Problem via SUSY QMNov 11 2003May 17 2004The supersymmetry in quantum mechanics and shape invariance condition are applied as an algebraic method to solve the Dirac-Coulomb problem. The ground state and the excited states are investigated using new generalized ladder operators.

Regression Adjustment for Noncrossing Bayesian Quantile RegressionFeb 04 2015A two-stage approach is proposed to overcome the problem in quantile regression, where separately fitted curves for several quantiles may cross. The standard Bayesian quantile regression model is applied in the first stage, followed by a Gaussian process ... More

Boson-fermion stars: exploring different configurationsJan 02 2003Feb 07 2003We use the flexibility of the concept of a fermion-boson star to explore different configurations, ranging from objects of atomic size and masses of the order $10^{18}$ g, up to objects of galactic masses and gigantic halos around a smaller core, with ... More

Reconstructing an economic space from a market metricNov 06 2002Using a metric related to the returns correlation, a method is proposed to reconstruct an economic space from the market data. A reduced subspace, associated to the systematic structure of the market, is identified and its dimension related to the number ... More

Numerical Godeaux surfaces with an involutionJan 31 2005Minimal algebraic surfaces of general type with the smallest possible invariants have geometric genus zero and K^2=1 and are usually called "numerical Godeaux surfaces". Although they have been studied by several authors, their complete classification ... More

Characteristic functions and process identification by neural networksDec 17 1997Principal component analysis (PCA) algorithms use neural networks to extract the eigenvectors of the correlation matrix from the data. However, if the process is non-Gaussian, PCA algorithms or their higher order generalisations provide only incomplete ... More

Flag manifolds with strongly positive curvatureNov 28 2014May 30 2015We obtain a complete description of the moduli spaces of homogeneous metrics with strongly positive curvature on the Wallach flag manifolds $W^6$, $W^{12}$ and $W^{24}$, which are respectively the manifolds of complete flags in $\mathbb C^3$, $\mathbb ... More

Sectional curvature and Weitzenböck formulaeAug 29 2017We establish an algebraic characterization of sectional curvature bounds $\sec\geq k$ and $\sec\leq k$ involving the curvature term in the Weitzenb\"ock formulae for symmetric $p$-tensors. This characterization is further clarified by means of a symmetric ... More

Kneading Theory for Triangular MapsJan 07 2003Feb 28 2003The main purpose of this paper is to present a kneading theory for two-dimensional triangular maps. This is done by defining a tensor product between the polynomials and matrices corresponding to the one-dimensional basis map and fiber map. We also define ... More

Equilibrium States in Numerical Argumentation NetworksAug 28 2014Mar 18 2015Given an argumentation network with initial values to the arguments, we look for algorithms which can yield extensions compatible with such initial values. We find that the best way of tackling this problem is to offer an iteration formula that takes ... More

On the Hydrogen Atom via Wigner-Heisenberg AlgebraDec 03 2008Aug 18 2009We extend the usual Kustaanheimo-Stiefel $4D\to 3D$ mapping to study and discuss a constrained super-Wigner oscillator in four dimensions. We show that the physical hydrogen atom is the system that emerges in the bosonic sector of the mapped super 3D ... More

Quantum master equation descriptions of a nanomechanical resonator coupled to a single-electron transistorOct 10 2005We analyse the quantum dynamics of a nanomechanical resonator coupled to a normal-state single-electron transistor (SET). Starting from a microscopic description of the system, we derive a master equation for the SET island charge and resonator which ... More

The Relation between Maxwell, Dirac and the Seiberg-Witten EquationsDec 10 2002Dec 07 2012In this paper we discuss some unusual and unsuspected relations between Maxwell, Dirac and the Seiberg-Witten equations. First we investigatethe Maxwell-Dirac equivalence (MDE) of the first kind. Crucial to that proposed equivalence is the possibility ... More

Killing Vector Fields, Maxwell Equations and Lorentzian SpacetimesJan 23 2008Aug 13 2008In this paper we first analyze the structure of Maxwell equations in a Lorentzian spacetime where the potential A is proportional to 1-form K physically equivalent to a Killing vector field (supposed to exist). We show that such A obeys the Lorenz gauge ... More

Poisson-Vlasov : Stochastic representation and numerical codesJul 10 2007A stochastic representation for the solutions of the Poisson-Vlasov equation, with several charged species, is obtained. The representation involves both an exponential and a branching process and it provides an intuitive characterization of the nature ... More

Reduction and approximation in gyrokineticsFeb 27 2007Apr 18 2007The gyrokinetics formulation of plasmas in strong magnetic fields aims at the elimination of the angle associated with the Larmor rotation of charged particles around the magnetic field lines. In a perturbative treatment or as a time-averaging procedure, ... More

Distributed Computability in Byzantine Asynchronous SystemsFeb 25 2013Jun 10 2014In this work, we extend the topology-based approach for characterizing computability in asynchronous crash-failure distributed systems to asynchronous Byzantine systems. We give the first theorem with necessary and sufficient conditions to solve arbitrary ... More

Communication and correlation among communitiesFeb 05 2009Jul 31 2009Given a network and a partition in communities, we consider the issues "how communities influence each other" and "when two given communities do communicate". Specifically, we address these questions in the context of small-world networks, where an arbitrary ... More

Critical phenomena on heterogeneous small-world networksMay 28 2010Dec 13 2010We consider critical phenomena on heterogeneous small-world networks having a scale-free character but also arbitrary short-loops. After deriving the self-consistent equation for the order parameter and the critical surface, we prove that the critical ... More

Assessment Model for Opportunistic Routing (LatinCom)Jul 31 2014Due to the increased capabilities of mobile devices and through wireless opportunistic contacts, users can experience new ways to share and retrieve content anywhere and anytime, even in the presence of link intermittency. Due to the significant number ... More

Opportunistic Routing Based on Daily RoutinesJul 31 2014Opportunistic routing is being investigated to enable the proliferation of low-cost wireless applications. A recent trend is looking at social structures, inferred from the social nature of human mobility, to bring messages close to a destination. To ... More

On the optimal experimental design for heat and moisture parameter estimationOct 12 2016In the context of estimating material properties of porous walls based on in-site measurements and identification method, this paper presents the concept of Optimal Experiment Design (OED). It aims at searching the best experimental conditions in terms ... More

Comment on "Breakdown of the Internet under Intentional Attack"Sep 05 2001We obtain the exact position of the percolation threshold in intentionally damaged scale-free networks.

Involutions on numerical Campedelli surfacesNov 15 2005Numerical Campedelli surfaces are minimal surfaces of general type with p_g=0 (and so q=0) and K^2=2. Although they have been studied by several authors, their complete classification is not known. In this paper we classify numerical Campedelli surfaces ... More

Using qualia information to identify lexical semantic classes in an unsupervised clustering taskMar 11 2013Acquiring lexical information is a complex problem, typically approached by relying on a number of contexts to contribute information for classification. One of the first issues to address in this domain is the determination of such contexts. The work ... More

Birational geometry of foliations associated to simple derivationsJan 03 2017Jun 30 2017We propose a study of the foliations of the projective plane induced by simple derivations of the polynomial ring in two indeterminates over the complex field. These correspond to foliations which have no invariant algebraic curve nor singularities in ... More

Birational geometry of foliations associated to simple derivationsJan 03 2017Dec 14 2018We propose a study of the foliations of the projective plane induced by simple derivations of the polynomial ring in two indeterminates over the complex field. These correspond to foliations which have no invariant algebraic curve nor singularities in ... More

Factors of Sparse Polynomials are SparseApr 18 2014May 19 2014This paper was removed due to an error in the proof (Claim 4.12 as stated is not true). The authors would like to thank Ilya Volkovich for pointing out a counterexample to this paper's main result in positive characteristic: If $F$ is a field with prime ... More

Vector interpretation of the matrix orthogonality on the real lineOct 09 2009Oct 12 2009In this paper we study sequences of vector orthogonal polynomials. The vector orthogonality presented here provides a reinterpretation of what is known in the literature as matrix orthogonality. These systems of orthogonal polynomials satisfy three-term ... More

The Maxwell and Navier-Stokes that Follow from Einstein Equation in a Spacetime Containing a Killing Vector FieldSep 24 2011Oct 06 2012In this paper we are concerned to reveal that any spacetime structure <M,[g]<LaTeX>\slg</LaTeX>,D,{\tau}_{[sg]<LaTeX>\sslg</LaTeX>},\uparrow>, which is a model of a gravitational field in General Relativity generated by an energy-momentum tensor T --- ... More

Probabilistic Argumentation. An Equational ApproachMar 18 2015There is a generic way to add any new feature to a system. It involves 1) identifying the basic units which build up the system and 2) introducing the new feature to each of these basic units. In the case where the system is argumentation and the feature ... More