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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

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

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

Gauge Invariance for Navier--Stokes EquationsJul 28 2017Jan 16 2019Dynamical systems such as free divergent velocity fields are governed by Navier--Stokes equations. However, the problem of bounding the kinetic energy for this type of mechanics is an enigma. Here it is reasoned how to find finite $L^2$ norms of the velocity ... More

Exact Solutions for Restricted Incompressible Navier--Stokes Equations with Dirichlet Boundary ConditionsJul 28 2017Mar 03 2019In this paper it is exposed how to obtain a relation that have to be hold for all free divergent velocity fields that evolve according to Navier--Stokes equations. However, checking the violation of this relation requires a huge computational effort. ... More

Exact Solutions for Restricted Incompressible Navier--Stokes Equations with Dirichlet Boundary ConditionsJul 28 2017Mar 21 2019In this paper it is exposed how to obtain a relation that have to be hold for all free divergent velocity fields that evolve according to Navier--Stokes equations. However, checking the violation of this relation requires a huge computational effort. ... 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

Exact Solutions for Restricted Incompressible Navier--Stokes Equations with Dirichlet Boundary ConditionsJul 28 2017Apr 14 2019In this paper it is exposed how to obtain a relation that have to be hold for all free divergent velocity fields that evolve according to Navier--Stokes equations. However, checking the violation of this relation requires a huge computational effort. ... More

Effective computation of $Tor_k (M,N)$Dec 16 2004An effective method to compute a presentation of $Tor_k (M,N)$ for modules on a not necessarily commutative algebra is proposed, more precisely when $R$ is a PBW algebra, $M$ is a centralizing $R$-bimodule and $N$ is a finitely generated left $R$-module. ... 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

Hamilton-Jacobi theory, Symmetries and Coisotropic ReductionSep 01 2015Reduction theory has played a major role in the study of Hamiltonian systems. On the other hand, the Hamilton-Jacobi theory is one of the main tools to integrate the dynamics of certain Hamiltonian problems and a topic of research on its own. Moreover, ... More

A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk SettingMay 01 2012We develop a Hamilton-Jacobi theory for singular lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the lagrangian and hamiltonian settings are discussed.

A Universal Hamilton-Jacobi TheorySep 24 2012In this paper we develop a Hamilton-Jacobi theory in the setting of almost Poisson manifolds. The theory extends the classical Hamilton-Jacobi theory and can be also applied to very general situations including nonholonomic mechanical systems and time ... 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

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

Stability of the Calderón problem for less regular conductivitiesMay 11 2012Aug 13 2012In these notes we prove log-type stability for the Calder\'on problem with conductivities in $ C^{1,\varepsilon}(\bar{\Omega}) $. We follow the lines of a recent work by Haberman and Tataru in which they prove uniqueness for $ C^1(\bar{\Omega}) $.

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

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

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

Encoding relativistic potential dynamics into free evolutionMar 19 2012May 03 2012We propose a method to simulate a Dirac or Majorana equation evolving under a potential with the use of the corresponding free evolution, while the potential dynamics is encoded in a static transformation upon the initial state. We extend our results ... 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 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

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

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

Symmetries in Lagrangian Field TheoryMar 21 2014Feb 03 2015By generalizing the cosymplectic setting for time-dependent Lagrangian mechanics, we propose a geometric framework for the Lagrangian formulation of classical field theories with a Lagrangian depending on the independent variables. For that purpose we ... 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

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

On the Hamilton-Jacobi Theory for Singular Lagrangian SystemsApr 27 2012We develop a Hamilton-Jacobi theory for singular lagrangian systems using the Gotay-Nester-Hinds constraint algorithm. The procedure works even if the system has secondary constraints.

On the Geometry of the Hamilton-Jacobi Equation and Generating FunctionsJun 02 2016May 12 2017In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting. Specifically, we "geometrize" what is usually called a complete solution of the Hamilton-Jacobi equation. We use some well-known results about symplectic ... 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

Brownian dynamics simulations to explore experimental microsphere diffusion with optical tweezersMay 25 2017We develop two-dimensional Brownian dynamics simulations to examine the motion of disks under thermal fluctuations and Hookean forces. Our simulations are designed to be experimental-like, since the experimental conditions define the available time-scales ... More

Adaptive Robust Transmission Network Expansion Planning using Structural Reliability and Decomposition TechniquesJan 26 2015Structural reliability and decomposition techniques have recently proved to be appropriate tools for solving robust uncertain mixed-integer linear programs using ellipsoidal uncertainty sets. In fact, its computational performance makes this type of problem ... 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

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.

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

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

On $H^\infty$ on the complement of C^{1+α} curvesMay 03 2012Jan 22 2014Let $\rho$ be a quasiconformal mapping on the plane with complex dilatation $\mu$. We show that if $\mu$ satisfies a certain Carleson measure condition, then one can transfer $H^{\infty}$ on the upper half plane onto the corresponding space in the complement ... 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

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

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

Kinematic reduction and the Hamilton-Jacobi equationOct 27 2011A close relationship between the classical Hamilton-Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship relies on new mathematical techniques ... More

Counting problems for special-orthogonal Anosov representationsDec 03 2018Let $\rho$ be a projective Anosov representation of a word hyperbolic group $\Gamma$ into $G:=\textrm{PSO}(p,q)$ and $X_G$ be the Riemannian symmetric space of $G$. Let $o\subset\mathbb{R}^{p+q}$ be a line on which the quadratic form defining $G$ is negative. ... More

Propagation of a binary signal along a chain of triangular graphane nanoclustersNov 25 2013In this paper, we study the dynamic properties of a linear array of graphane triangular molecules that transmit a binary signal. The electronic properties of nanoclusters are studied using calculations based on first principles, with hybrid potentials. ... More

Nonlinear alfvénic fast particle transport and lossesNov 16 2012Magnetohydrodynamic instabilities like Toroidal Alfv\'en Eigenmodes or core-localized modes such as Beta Induced Alfv\'en Eigenmodes and Reversed Shear Alfv\'en Eigenmodes driven by fast particles can lead to significant redistribution and losses in fusion ... 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

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

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

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

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

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

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

Joint analysis of Rayleigh-wave dispersion curves and diffuse-field HVSR for site characterization: The case of El Ejido town (SE Spain)Jan 15 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

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

An Ant Colonization Routing Algorithm to Minimize Network Power ConsumptionSep 03 2015Sep 04 2015Rising energy consumption of IT infrastructure concerns have spurred the development of more power efficient networking equipment and algorithms. When \emph{old} equipment just drew an almost constant amount of power regardless of the traffic load, there ... 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

Achieving Fair Network Equilibria with Delay-based Congestion Control AlgorithmsJul 27 2015Delay-based congestion control algorithms provide higher throughput and stability than traditional loss-based AIMD algorithms, but they are inherently unfair against older connections when the queuing and the propagation delay cannot be measured accurately ... 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

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

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

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

Optimum Traffic Allocation in Bundled Energy Efficient Ethernet LinksSep 05 2015The energy demands of Ethernet links have been an active focus of research in the recent years. This work has enabled a new generation of Energy Efficient Ethernet (EEE) interfaces able to adapt their power consumption to the actual traffic demands, thus ... More

Light pollution offshore: zenithal sky glow measurements in the Mediterranean coastal watersMay 06 2017Mar 07 2018Light pollution is a worldwide phenomenon whose consequences for the natural environment and the human health are being intensively studied nowadays. Most published studies address issues related to light pollution inland. Coastal waters, however, are ... 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 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

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

Basketball scoring in NBA games: an example of complexityAug 03 2011Oct 20 2011Scoring in a basketball game is a process highly dynamic and non-linear type. The level of NBA teams improve each season. They incorporate to their rosters the best players in the world. These and other mechanisms, make the scoring in the NBA basketball ... 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

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

Photon exchange and correlations transfer in atom-atom entanglement dynamicsNov 17 2008We analyze the entanglement dynamics of a system composed by a pair of neutral two-level atoms that are initially entangled, and the electromagnetic field, initially in the vacuum state, within the formalism of perturbative quantum field theory up to ... More

Entanglement swapping between spacelike separated atomsJul 17 2008Oct 15 2008We show a mechanism that projects a pair of neutral two-level atoms from an initially uncorrelated state to a maximally entangled state while they remain spacelike separated. The atoms begin both excited in a common electromagnetic vacuum, and the radiation ... 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

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

Atom-atom entanglement generated at early times by two photon emissionOct 13 2008We analyze entanglement generation between a pair of neutral two level atoms that are initially excited in a common electromagnetic vacuum. The nonlocal correlations that appear due to the interaction with the field can become entanglement when the field ... 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

Dynamics of Strongly Correlated Systems and Dynamical Renormalization GroupFeb 19 2019We discuss the dynamics of the central spin model with the equation of motion technique. We show that a Hierarchy of Horrelations decoupling can provide accurate results for the dynamics, in comparison with more standard decoupling methods. We also demonstrate ... 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

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.

An Explicit Formula for the Local zeta Function of a Laurent PolynomialFeb 21 2014Apr 08 2016In a recent paper Z\'u\~niga-Galindo and the author begun the study of the local zeta functions for Laurent polynomials. In this work we continue this study by giving a very explicit formula for the local zeta function associated to a Laurent polynomial ... 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

Generation of atom-atom correlations inside and outside the mutual light coneApr 29 2008Dec 11 2008We analyze whether a pair of neutral two level atoms can become entangled in a finite time while they remain causally disconnected. The interaction with the e. m. field is treated perturbatively in the electric dipole approximation. We start from an initial ... 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

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

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

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

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

Multi-mode Alfvénic Fast Particle Transport and Losses: Numerical vs. Experimental ObservationNov 11 2013In many discharges at ASDEX Upgrade fast particle losses can be observed due to Alfv\'enic gap modes, Reversed Shear Alfv\'en Eigenmodes or core-localized Beta Alfv\'en Eigenmodes. For the first time, simulations of experimental conditions in the ASDEX ... More

A case of entanglement generation between causally disconnected atomsMay 14 2008We analyze the entanglement generated in a finite time between a pair of space-like separated atoms, one of which emits a photon. As we show to order $e^2$, the origin of entanglement can be traced back to the uncertainty about which one of the atoms ... 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