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Multivariate statistical modelling of future marine stormsMar 13 2019Extreme events, such as wave-storms, need to be characterized for coastal infrastructure design purposes. Such description should contain information on both the univariate behaviour and the joint-dependence of storm-variables. These two aspects have ... More

Contact Hamiltonian SystemsNov 08 2018In this paper we study Hamiltonian systems on contact manifolds, which is an appropriate scenario to discuss dissipative systems. We prove a coisotropic reduction theorem similar to the one in symplectic mechanics.

Hamilton-Jacobi Theorems for Nonholonomic Reducible Hamiltonian Systems on a Cotangent BundleAug 30 2015Jul 31 2016Hamilton-Jacobi theorem reveals the deeply internal relationship between the generating function and the dynamical vector field of a Hamiltonian system. Because of the restriction given by constraints, in general, the dynamical vector field of nonholonomic ... More

Hamilton-Jacobi theory for gauge field theoriesApr 23 2019Recently, M. de Le\'on el al. ([8]) have developed a geometrical description of Hamilton-Jacobi theory for multisymplectic field theory. In our paper we analyse in the same spirit a special kind of field theories which are gauge field theories. The Hamilton-Jacobi ... More

Singular Lagrangians and precontact Hamiltonian SystemsApr 25 2019In this paper we discuss singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We develop a constraint algorithm similar to the presymplectic one studied ... More

A note on covers defining relative and sectional categoriesMay 17 2019We give a characterization of relative category in the sense of Doeraene-El Haouari by using open covers. We also prove that relative category and sectional category can be defined by taking arbitrary covers (not necessarily open) when dealing with ANR ... More

Universal central extensions of $\mathfrak{sl}(m, n, A)$ of small rank over associative superalgebrasMay 15 2014Jul 07 2014We complete the solution of the problem of finding the universal central extension of the matrix superalgebras $\mathfrak{sl}(m, n, A)$ where $A$ is an associative superalgebra and computing $H_2\big(\mathfrak{sl}(m, n, A)\big)$. The Steinberg Lie superalgebra ... More

Universal central extensions of superdialgebras of matricesFeb 14 2016We complete the problem of finding the universal central extension in the category of Leibniz superalgebras of $\mathfrak{sl}(m, n, D)$ when $m+n \geq 3$ and $D$ is a superdialgebra, solving in particular the problem when $D$ is an associative algebra, ... More

Reduction of a Hamilton-Jacobi equation for nonholonomic systemsOct 11 2018Oct 15 2018Nonholonomic mechanical systems have been attracting more interest in recent years because of their rich geometric properties and their applications in Engineering. In all generality, we discuss the reduction of a Hamilton-Jacobi theory for systems subject ... More

Classification of exterior and proper fibrationsJun 03 2019We classify exterior fibrations in the exterior homotopy category. As a result we also classify proper fibrations between CW-complexes.

Symmetry of large solutions for semilinear elliptic equations in a ballApr 07 2017In this work we consider the boundary blow-up problem $$ \left\{ \begin{array}{ll} \Delta u = f(u) & \hbox{in } B\\ \ \ u=+\infty & \hbox{on }\partial B \end{array} \right. $$ where $B$ stands for the unit ball of $\mathbb{R}^N$ and $f$ is a locally Lipschitz ... More

numericalsgps, a GAP package for numerical semigroupsJun 06 2015The package numericalsgps performs computations with and for numerical semigroups. Recently also affine semigroups are admitted as objects for calculations. This manuscript is a survey of what the package does, and at the same time of the trending topics ... More

Quantum annealing in spin-boson model: from a perturbative to a ultrastrong mediated couplingJul 30 2018We study a quantum annealer where bosons mediate the Ising-type interactions between qubits. We compare the efficiency of ground state preparation for direct and mediated couplings, for which Ising and spin-boson Hamiltonian are employed respectively. ... More

Abelian extensions and crossed modules of Hom-Lie algebrasFeb 12 2018In this paper we study the low dimensional cohomology groups of Hom-Lie algebras and their relation with derivations, abelian extensions and crossed modules. On one hand, we introduce the notion of $\alpha$-abelian extensions and we obtain a five term ... More

Non-abelian tensor product and homology of Lie SuperalgebrasJul 07 2014Dec 18 2015We introduce the non-abelian tensor product of Lie superalgebras, study some of its properties including nilpotency, solvability and Engel, and we use it to describe the universal central extensions of Lie superalgebras. We present the low-dimensional ... More

Aproximación métrica de grupos: una breve perspectivaSep 05 2017Sep 06 2017This is an expository paper (in Spanish) about the metric approximation of groups.

Heavy quark mass effects in parton-to-kaon hadronization probabilitiesJul 19 2018We examine the relevance of the heavy quarks masses in the perturbative QCD description of hard interactions where charged kaons are produced in the final state. We extract a set of parton-to-kaon hadronization probabilities from a next to leading order ... More

The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systemsMay 08 2018We solve the analytic integrability problem for diferential systems in the plane whose origin is an isolated singularity and the first homogeneous component is a quadratic Lotka-Volterra type. As an application, we give the analytically integrable systems ... More

An improved method for the identification of galaxy systems: Measuring the gravitational redshift by Dark Matter HaloesAug 16 2012We introduce a new method for the identification of galaxy systems in redshift surveys based on the halo model. This method is a modified version of the K-means identification algorithm developed by Yang et al (2005). We have calibrated and tested our ... More

Calculation of the Sun exposure time for the synthesis of vitamin D in Urcuquí, EcuadorJun 05 2017The synthesis of vitamin D is strongly linked to the availability of solar energy. For a long time, it was clear that using the erythemal irradiances is a good choice to calculate the exposure time. Several authors argue that this method of minimum exposure ... More

Mass operator of the M2-brane on a background with constant three-formMay 20 2019The formulation of supermembrane theory on nontrivial backgrounds is discussed. In particular, we obtain the Hamiltonian of the supermembrane on a background with constant bosonic three form on a target space $M_9 \times T^2$.

Hamilton-Jacobi theory in Cauchy data spaceNov 14 2014Recently, M. de Le\'on el al. ([9]) have developed a geometric Hamilton-Jacobi theory for Classical Field Theories in the setting of multisymplectic geometry. Our purpose in the current paper is to establish the corresponding Hamilton-Jacobi theory in ... More

Geometric Hamilton-Jacobi theory for higher-order autonomous systemsSep 09 2013May 19 2014The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these ... More

Hamilton-Jacobi theory in multisymplectic classical field theoriesApr 08 2015The geometric framework for the Hamilton-Jacobi theory developed in previous works is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problem is stated for the Lagrangian and the Hamiltonian formalisms of these theories ... More

Unified formalism for the generalized kth-order Hamilton-Jacobi problemOct 03 2013May 19 2014The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unified Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacobi theory ... More

Nonlinear coherent states for the Susskind-Glogower operatorsMar 11 2013We construct nonlinear coherent states for the Susskind-Glogower operators by the application of the displacement operator on the vacuum state. We also construct nonlinear coherent states as eigenfunctions of a Hamiltonian constructed with the Susskind-Glogower ... More

Geometric Structures in Field TheoryAug 26 2002This review paper is concerned with the generalizations to field theory of the tangent and cotangent structures and bundles that play fundamental roles in the Lagrangian and Hamiltonian formulations of classical mechanics. The paper reviews, compares ... More

Force and torque acting on particles in a transitionally rough open channel flowAug 30 2011Direct numerical simulation of open channel flow over a geometrically rough wall has been performed at a bulk Reynolds number of approximately 2900. The wall consisted of a layer of spheres in a square arrangement. Two cases have been considered. In the ... More

A goodness-of-fit test for the functional linear model with scalar responseMay 28 2012Sep 28 2014In this work, a goodness-of-fit test for the null hypothesis of a functional linear model with scalar response is proposed. The test is based on a generalization to the functional framework of a previous one, designed for the goodness-of-fit of regression ... More

Algorithms for Generalized Numerical SemigroupsJul 04 2019We provide algorithms for performing computations in generalized numerical semigroups, that is, submonoids of $\mathbb{N}^{d}$ with finite complement in $\mathbb{N}^{d}$. These semigroups are affine semigroups, which in particular implies that they are ... More

Nonlinear Vibrations in the Fullerene Molecule $C_{60}$Apr 16 2018Oct 07 2018In this paper we analyze nonlinear dynamics of the fullerene molecule. We prove the existence of global branches of periodic solutions emerging from an icosahedral equilibrium (nonlinear normal modes). We also determine the symmetric properties of the ... More

Robust Transmission Network Expansion Planning under Correlated UncertaintyJan 26 2015Apr 02 2019This paper addresses the transmission network expansion planning problem under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby the worst-case operating cost is accounted for under a given ... More

Universal central extensions of Lie-Rinehart algebrasMar 27 2014In this paper we study the universal central extension of a Lie--Rinehart algebra and we give a description of it. Then we study the lifting of automorphisms and derivations to central extensions. We also give a definition of a non-abelian tensor product ... More

Cofinite subsets and double negation topologies on locales of filters and idealsMar 18 2015We study the role of the filter $c\mathcal{K}(X)$ of cofinite subsets of $X$ in the locale $\mathcal{F}ilt(X)$ of all filters on $X$, by means of the double negation topology of $\mathcal{F}ilt(X)$, and an essential locale morphism $\mathcal{P}(X)^{op}\to\mathcal{F}ilt(X)$. ... More

On the Solution of Large-Scale Robust Transmission Network Expansion Planning under Uncertain Demand and Generation CapacitySep 26 2016Two-stage robust optimization has emerged as a relevant approach to deal with uncertain demand and generation capacity in the transmission network expansion planning problem. Unfortunately, available solution methodologies for the resulting trilevel robust ... More

A natural extension of the universal enveloping algebra functor to crossed modules of Leibniz algebrasMar 21 2016The universal enveloping algebra functor between Leibniz and associative algebras defined by Loday and Pirashvili is extended to crossed modules. We prove that the universal enveloping crossed module of algebras of a crossed module of Leibniz algebras ... More

Sharp Fourier type and cotype with respect to compact semisimple Lie groupsDec 11 2003Sharp Fourier type and cotype of Lebesgue spaces and Schatten classes with respect to an arbitrary compact semisimple Lie group are investigated. In the process, a local variant of the Hausdorff-Young inequality on such groups is given.

Spectral problem for a two-component nonlinear Schrödinger equation in $2+1$ dimensions: Singular manifold method and Lie point symmetriesJul 24 2018An integrable two-component nonlinear Schr\"odinger equation in $2+1$ dimensions is presented. The singular manifold method is applied in order to obtain a three-component Lax pair. The Lie point symmetries of this Lax pair are calculated in terms of ... More

Multivariate Big Data Analysis for Intrusion Detection: 5 steps from the haystack to the needleJun 27 2019The research literature on cybersecurity incident detection & response is very rich in automatic detection methodologies, in particular those based on the anomaly detection paradigm. However, very little attention has been devoted to the diagnosis ability ... More

Exchange rules for diradical π-conjugated hydrocarbonsJun 20 2019A variety of planar {\pi}-conjugated hydrocarbons such as heptauthrene, Clar's goblet and, recently synthesized, triangulene have two electrons occupying two degenerate molecular orbitals. The resulting spin of the interacting ground state is often correctly ... More

The Dirichlet-Bohr radiusDec 16 2014Denote by $\Omega(n)$ the number of prime divisors of $n \in \mathbb{N}$ (counted with multiplicities). For $x\in \mathbb{N}$ define the Dirichlet-Bohr radius $L(x)$ to be the best $r>0$ such that for every finite Dirichlet polynomial $\sum_{n \leq x} ... More

Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchyNov 15 2015Aug 23 2016Given a matrix polynomial $W(x)$, matrix bi-orthogonal polynomials with respect to the sesquilinear form $\langle P(x),Q(x)\rangle_W=\int P(x) W(x)\operatorname{d}\mu(x)(Q(x))^{\top}$, $P(x),Q(x)\in\mathbb R^{p\times p}[x]$, where $\mu(x)$ is a matrix ... More

A non-linear Bishop-Phelps-Bollobás type theoremJul 21 2017The main aim of this paper is to prove a Bishop-Phelps-Bollob\'as type theorem on the unital uniform algebra A_{w^*u}(B_{X^*}) consisting of all w^*-uniformly continuous functions on the closed unit ball B_{X^*} which are holomorphic on the interior of ... More

Delay Properties of Energy Efficient Ethernet NetworksJul 10 2017Networking operational costs and environmental concerns have lately driven the quest for energy efficient equipment. In wired networks, energy efficient Ethernet (EEE) interfaces can greatly reduce power demands when compared to regular Ethernet interfaces. ... More

Ultraintense femtosecond magnetic nanoprobes induced by azimuthally polarized laser beamsOct 16 2018We report a novel scheme to generate laser-induced, ultrafast, intense (Tesla scale), spatially isolated, magnetic fields. Three-dimensional particle-in-cell simulations show that a femtosecond azimuthally-polarized infrared vector beam, aimed to a conducting ... More

New approach for solar tracking systems based on computer vision, low cost hardware and deep learningSep 19 2018In this work, a new approach for Sun tracking systems is presented. Due to the current system limitations regarding costs and operational problems, a new approach based on low cost, computer vision open hardware and deep learning has been developed. The ... More

Heavy sterile neutrinos in stellar core-collapseJun 08 2018Oct 24 2018We perform spherically symmetric simulations of the core collapse of a single progenitor star of zero age main sequence mass $M_{\rm ZAMS} = 15 \, M_{\odot}$ with two models of heavy sterile neutrinos in the mass range of hundred MeV$/c^2$. According ... More

Dynamic EEE Coalescing: Techniques and BoundsJan 10 2019Frame coalescing is one of the most efficient techniques to manage the low power idle (LPI) mode supported by Energy Efficient Ethernet (EEE) interfaces. This technique enables EEE interfaces to remain in the LPI mode for a certain amount of time upon ... More

Joint analysis of Rayleigh-wave dispersion curves and diffuse-field HVSR for site characterization: The case of El Ejido town (SE Spain)Jan 15 2019Feb 27 2019The location of El Ejido town over a deep sedimentary basin in a zone of high seismicity in the Spanish context has motivated research on its seismic response characterization. To this aim, S-wave velocity models have been obtained from joint inversion ... More

Weak lensing measurement of the mass-richness relation using the SDSS databaseOct 28 2016Feb 01 2017We study the mass-richness relation using galaxy catalogues and images from the Sloan Digital Sky Survey. We use two independent methods, in the first one, we calibrate the scaling relation with weak-lensing mass estimates. In the second procedure we ... More

Goodness-of-fit tests for the functional linear model based on randomly projected empirical processesJan 29 2017Apr 09 2018We consider marked empirical processes indexed by a randomly projected functional covariate to construct goodness-of-fit tests for the functional linear model with scalar response. The test statistics are built from continuous functionals over the projected ... More

Actor of a crossed module of Leibniz algebrasJun 15 2016We extend to the category of crossed modules of Leibniz algebras the notion of biderivation via the action of a Leibniz algebra. This results into a pair of Leibniz algebras which allow us to construct an object which is the actor under certain circumstances. ... More

Phase matching effects in high harmonic generation at the nanometer scaleDec 27 2016Jun 02 2017Plasmon resonances are known to amplify the electromagnetic fields near metallic nanostructures. Therefore, they are considered to provide a promising scheme to generate extreme-ultraviolet harmonics, using low power drivings. During high-order harmonic ... More

Composition operators on spaces of double Dirichlet seriesMar 20 2019We study composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Dirichlet series $\HCdos$. We also show how the composition operators of this ... More

Transformation theory and Christoffel formulas for matrix biorthogonal polynomials on the real lineMay 16 2016Aug 25 2016In this paper transformations for matrix orthogonal polynomials in the real line are studied. The orthogonality is understood in a broad sense, and is given in terms of a nondegenerate continuous sesquilinear form, which in turn is determined by a quasidefinite ... More

Modeling an Aquifer: Numerical Solution to the Groundwater Flow EquationFeb 03 2018Jan 02 2019We present a model of groundwater dynamics under stationary flow and governed by Darcy's Law of water motion through porous media, we apply it to study a 2D aquifer with water table of constant slope comprised of an homogeneous and isotropic media, the ... More

Joint Gaussian Processes for Biophysical Parameter RetrievalNov 14 2017Solving inverse problems is central to geosciences and remote sensing. Radiative transfer models (RTMs) represent mathematically the physical laws which govern the phenomena in remote sensing applications (forward models). The numerical inversion of the ... More

Hierarchy of correlations for the Ising model in the Majorana representationMay 10 2017Oct 12 2017We study the quantum Ising model in D dimensions with the equation of motion technique, in combination with the Majorana representation for spins. The decoupling scheme used for the Green's functions is based on the hierarchy of correlations in position ... More

Hierarchy of correlations: Application to Green's functions and interacting topological phasesDec 24 2015Jul 20 2016We study the many-body physics of different quantum systems using a hierarchy of correlations, which corresponds to a generalization of the $1/\mathcal{Z}$ hierarchy. The decoupling scheme obtained from this hierarchy is adapted to calculate double-time ... More

Rationality of trace and norm L-functionsJul 29 2010Sep 14 2011For a given l-adic sheaf F on a commutative algebraic group over a finite field k and an integer r we define the r-th local norm L-function of F at a point t in G(k) and prove its rationality. This function gives information on the sum of the local Frobenius ... More

On singular Frobenius for linear differential equations of second and third order, part 1: ordinary differential equationsJun 10 2019We study second order and third order linear differential equations with analytic coefficients under the viewpoint of finding formal solutions and studying their convergence. We address some untouched aspects of Frobenius methods for second order as the ... More

A Spanish Tagset for the CRATER ProjectJun 14 1994This working paper describes the Spanish tagset to be used in the context of CRATER, a CEC funded project aiming at the creation of a multilingual (English, French, Spanish) aligned corpus using the International Telecommunications Union corpus. In this ... More

Local convolution of l-adic sheaves on the torusJun 07 2011For K and L two l-adic perverse sheaves on the one-dimensional torus over the algebraic closure of a finite field, we show that the local monodromies of their convolution K*L at its points of non-smoothness is completely determined by the local monodromies ... More

Explicit local multiplicative convolution of l-adic sheavesMay 26 2016We give explicit formulas for the local multiplicative convolution functors which express the local monodromies of the convolution of two $\ell$-adic sheaves on the torus ${\mathbb G}_m$ over the algebraic closure of a finite field in terms of the local ... More

Four-point functions of different-weight operators in the AdS/CFT correspondenceSep 10 2007Oct 07 2007We calculate four-point correlation functions of two weight-2 and two weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in supergravity approximation. By the AdS/CFT conjecture, these operators are dual to AdS supergravity scalar fields ... More

Katz-Radon transform of l-adic representationsJun 27 2011Sep 15 2011We prove a simple explicit formula for the local Katz-Radon transform of an l-adic representation of the Galois group of the fraction field of a strictly henselian discrete valuation ring with positive residual characteristic, which can be defined as ... More

Tensor and convolution direct image of $\ell$-adic sheavesJun 07 2018May 07 2019Given a Galois \'etale map of varieties $\pi:Y\to X$ and an $\ell$-adic sheaf or derived category object $P\in D^b_c(Y,{\mathbb Q}_\ell)$, we study two cohomological operations: the tensor direct image and (in the case of perverse sheaves) the convolution ... More

Phase reduction beyond the first order: the case of the mean-field complex Ginzburg-Landau equationJul 04 2019Phase reduction is a powerful technique that permits to describe the dynamics of a weakly perturbed limit-cycle oscillator in terms of its phase. For ensembles of oscillators, a classical example of phase reduction is the derivation of the Kuramoto model ... More

Best proximity points for proximal contractionsJul 18 2012In this paper we improve and extend some best proximity point results concerning the so-called proximal contractions. Specifically, compactness assumptions under the sets A and B are removed to consider completeness conditions instead.

On singular Frobenius for second order linear partial differential equationsJul 04 2019The main subject of this paper is the study of analytic second order linear partial differential equations. We aim to solve the classical equations and some more, in the real or complex analytical case. This is done by introducing methods inspired by ... More

Semilinear Backward Doubly Stochastic Differential Equations and SPDEs Driven by Fractional Brownian Motion with Hurst Parameter in (0,1/2)May 12 2010We study the existence of a unique solution to semilinear fractional backward doubly stochastic differential equation driven by a Brownian motion and a fractional Brownian motion with Hurst parameter less than 1/2. Here the stochastic integral with respect ... More

Term-Weighting Learning via Genetic Programming for Text ClassificationOct 02 2014Oct 06 2014This paper describes a novel approach to learning term-weighting schemes (TWSs) in the context of text classification. In text mining a TWS determines the way in which documents will be represented in a vector space model, before applying a classifier. ... More

Interaction of hemispherical blast waves with inhomogeneous spheres: Probing the collision of a supernova ejecta with a nearby companion star in the laboratoryDec 15 2018Past high-energy density laboratory experiments provided insights into the physics of supernovae, supernova remnants, and the destruction of interstellar clouds. In a typical experimental setting, a laser-driven planar blast wave interacts with a compositionally-homogeneous ... More

Midgar: Detection of people through computer vision in the Internet of Things scenarios to improve the security in Smart Cities, Smart Towns, and Smart HomesJan 10 2017Apr 05 2017Could we use Computer Vision in the Internet of Things for using pictures as sensors? This is the principal hypothesis that we want to resolve. Currently, in order to create safety areas, cities, or homes, people use IP cameras. Nevertheless, this system ... More

Incremental Adaptation of NMT for Professional Post-editors: A User StudyJun 21 2019A common use of machine translation in the industry is providing initial translation hypotheses, which are later supervised and post-edited by a human expert. During this revision process, new bilingual data are continuously generated. Machine translation ... More

Complemented subspaces of homogeneous polynomialsDec 06 2016Let $\mathcal{P}_{K} (^{n}E; F)$ (resp. $\mathcal{P}_{w} (^{n}E; F)$) the subspace of all $P\in \mathcal{P}(^{n}E; F)$ which are compact (resp. weakly continuous on bounded sets). We show that if $\mathcal{P}_{K} (^{n}E; F)$ contains an isomorphic copy ... More

IoFClime: The fuzzy logic and the Internet of Things to control indoor temperature regarding the outdoor ambient conditionsJan 10 2017The Internet of Things is arriving to our homes or cities through fields already known like Smart Homes, Smart Cities, or Smart Towns. The monitoring of environmental conditions of cities can help to adapt the indoor locations of the cities in order to ... More

Electric and magnetic dipolar response of Germanium spheres: Interference effects, scattering anisotropy and optical forcesApr 18 2011We address the scattering cross sections, and their consequences, for submicrometer Germanium spheres. It is shown that there is a wide window in the near infrared where light scattering by these particles is fully described by their induced electric ... More

Peptides as versatile scaffolds for quantum computingAug 30 2017Oct 03 2017In this work we showcase the potential of peptides as versatile scaffolds for quantum computing and molecular spintronics. In particular, we focus on lanthanide-binding tags, which were originally developed in the field of biotechnology for the study ... More

Transport signatures in topological systems coupled to AC fieldsNov 08 2016We study the transport properties of a topological system coupled to an AC electric field by means of Floquet-Keldysh formalism. We consider a semi-infinite chain of dimers coupled to a semi-infinite metallic lead, and obtain the density of states and ... More

Transport blocking and topological phases using ac magnetic fieldsSep 24 2012We analyze electron dynamics and topological properties of open double quantum dots (DQDs) driven by circularly polarized ac-magnetic fields. In particular we focus on the system symmetries which can be tuned by the ac-magnetic field. Remarkably, we show ... More

New algorithms to obtain analytical solutions of Einstein's equations in isotropic coordinatesMay 07 2019May 09 2019The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein's Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known ... More

A family of symmetric functions associated with Stirling permutationsJun 04 2015Nov 29 2017We present exponential generating function analogues to two classical identities involving the ordinary generating function of the complete homogeneous symmetric functions. After a suitable specialization the new identities reduce to identities involving ... More

Effective bounds for the consistency of differential equationsJan 12 2016Nov 10 2017One method to determine whether or not a system of partial differential equations is consistent is to attempt to construct a solution using merely the "algebraic data" associated to the system. In technical terms, this translates to the problem of determining ... More

Transport signatures in topological systems coupled to AC fieldsNov 08 2016Feb 03 2017We study the transport properties of a topological system coupled to an AC electric field by means of Floquet-Keldysh formalism. We consider a semi-infinite chain of dimers coupled to a semi-infinite metallic lead, and obtain the density of states and ... More

Spaces of convex n-partitionsNov 09 2015We construct and study the space C(\R^d,n) of all partitions of \R^d into n non-empty open convex regions (n-partitions). A representation on the upper hemisphere of an n-sphere is used to obtain a metric and thus a topology on this space. We show that ... More

On Uniqueness for some non-Lipschitz SDEMar 26 2015We study the uniqueness in the path-by-path sense (i.e. $\omega$-by-$\omega$) of solutions to stochastic differential equations with additive noise and non-Lipschitz autonomous drift. The notion of path-by-path solution involves considering a collection ... More

An Introduction to Algebraic Geometry codesMay 12 2015We present an introduction to the theory of algebraic geometry codes. Starting from evaluation codes and codes from order and weight functions, special attention is given to one-point codes and, in particular, to the family of Castle codes.

On the free Lie algebra with multiple bracketsAug 22 2014It is a classical result that the multilinear component of the free Lie algebra is isomorphic (as a representation of the symmetric group) to the top (co)homology of the proper part of the poset of partitions $\Pi_n$ tensored with the sign representation. ... More

A note on the $γ$-coefficients of the "tree Eulerian polynomial"May 25 2015We consider the generating polynomial of the number of rooted trees on the set $\{1,2,\dots,n\}$ counted by the number of descending edges (a parent with a greater label than a child). This polynomial is an extension of the descent generating polynomial ... More

On bounds for the effective differential NullstellensatzAug 29 2015Understanding bounds for the effective differential Nullstellensatz is a central problem in differential algebraic geometry. Recently, several bounds have been obtained using Dicksonian and antichains sequences (with a given growth rate). In the present ... More

The colored symmetric and exterior algebrasAug 02 2016Nov 19 2017We study colored generalizations of the symmetric algebra and its Koszul dual, the exterior algebra. The symmetric group $\mathfrak{S}_n$ acts on the multilinear components of these algebras. While $\mathfrak{S}_n$ acts trivially on the multilinear components ... More

Lagrangian submanifolds in k-symplectic settingsFeb 17 2012In this paper we extend the well-know normal form theorem for Lagrangian submanifolds proved by A. Weinstein in symplectic geometry to the setting of k-symplectic manifolds.

Topological phases in adiabatic and nonadiabatic driven systemsSep 24 2012Mar 19 2013In this work we study the geometrical and topological properties of non-equilibrium quantum systems driven by ac fields. We consider two tunnel coupled spin qubits driven by either spatially homogeneous or inhomogeneous ac fields. Our analysis is an extension ... More

Charge localization and dynamical spin locking in double quantum dots driven by ac magnetic fieldsSep 30 2011We investigate electron localization and dynamical spin locking induced by ac magnetic fields in double quantum dots. We demonstrate that by tuning the ac magnetic fields parameters, i.e., the field intensity, frequency, and the phase difference between ... More

Estimation in models driven by fractional Brownian motionMay 22 2008Let $\{b_H(t),t\in\mathbb{R}\}$ be the fractional Brownian motion with parameter $0<H<1$. When $1/2<H$, we consider diffusion equations of the type \[X(t)=c+\int_0^t\sigma\bigl(X(u)\bigr)\mathrm {d}b_H(u)+\int _0^t\mu\bigl(X(u)\bigr)\mathrm {d}u.\] In ... More

How to Make an Atomic Blog in Your Own Kitchen. Summary of the Workshop: Uncertainties in Atomic Data and How They Propagate in Chemical AbundancesOct 09 2011This workshop brought together scientists (including atomic physicists, theoretical astrophysicists and astronomers) concerned with the completeness and accuracy of atomic data for astrophysical applications. The topics covered in the workshop included ... More

Neutron-Capture elements in planetary nebulae: first detections of near-Infrared [Te III] and [Br V] emission linesJun 14 2018We have identified two new near-infrared emission lines in the spectra of planetary nebulae (PNe) arising from heavy elements produced by neutron capture reactions: [Te III] 2.1019 $\mu$m and [Br V] 1.6429 $\mu$m. [Te III] was detected in both NGC 7027 ... More

Stochastic approximation to the specific response of the immune systemApr 28 2011We develop a stochastic model to study the specific response of the immune system. The model is based on the dynamical interaction between Regulatory and Effector CD4+ T cells in the presence of Antigen Presenting Cells inside a lymphatic node. At a mean ... More

Fast Heuristic Algorithm for Multi-scale Hierarchical Community DetectionJul 07 2017Complex networks constitute the backbones of many complex systems such as social networks. Detecting the community structure in a complex network is both a challenging and a computationally expensive task. In this paper, we present the HAMUHI-CODE, a ... More