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Object recognition and tracking using Haar-like Features Cascade Classifiers: Application to a quad-rotor UAVMar 10 2019In this paper, we develop a functional Unmanned Aerial Vehicle (UAV), capable of tracking an object using a Machine Learning-like vision system called Haar feature-based cascade classifier. The image processing is made on-board with a high processor single-board ... More

Assortment and Price Optimization Under the Two-Stage Luce modelJun 26 2017Apr 23 2019This paper studies assortment and pricing optimization problems under the Two-Stage Luce model (2SLM), a discrete choice model introduced by Echenique and Saito (2018) that generalizes the multinomial logit model (MNL). The model employs an utility function ... More

Assortment Optimization under the General Luce ModelJun 26 2017This paper studies the assortment optimization problem under the General Luce Model (GLM), a discrete choice introduced by Echenique and Saito (2015) that generalizes the standard multinomial logit model (MNL). The GLM does not satisfy the Independence ... More

Trial-Offer Markets with ContinuationOct 05 2016Trial-offer markets, where customers can sample a product before deciding whether to buy it, are ubiquitous in the online experience. Their static and dynamic properties are often studied by assuming that consumers follow a multinomial logit model and ... More

A simple controller for the transition maneuver of a tail-sitter droneOct 26 2018This paper presents a controller for the transition maneuver of a tail-sitter drone. The tail-sitter model considers aerodynamic terms whereas the proposed controller considers the time-scale separation between drone attitude and position dynamics. The ... More

A full controller for a fixed-wing UAVMar 10 2019This paper presents a nonlinear control law for the stabilization of a fixed-wing UAV. Such controller solves the path-following problem and the longitudinal control problem in a single control. Furthermore, the control design is performed considering ... More

Depth map estimation methodology for detecting free-obstacle navigation areasMay 15 2019This paper presents a vision-based methodology which makes use of a stereo camera rig and a one dimension LiDAR to estimate free obstacle areas for quadrotor navigation. The presented approach fuses information provided by a depth map from a stereo camera ... More

Assortment Optimization under the Sequential Multinomial Logit ModelJul 09 2017Aug 30 2018We study the assortment optimization problem under the Sequential Multinomial Logit (SML), a discrete choice model that generalizes the multinomial logit (MNL). Under the SML model, products are partitioned into two levels, to capture differences in attractiveness, ... More

Replica exchange Monte Carlo applied to Hard SpheresOct 14 2010In this work a replica exchange Monte Carlo scheme which considers an extended isobaric-isothermal ensemble with respect to pressure is applied to study hard spheres (HS). The idea behind the proposal is expanding volume instead of increasing temperature ... More

A FORTRAN coded regular expression Compiler for IBM 1130 Computing SystemMay 06 2009REC (Regular Expression Compiler) is a concise programming language which allows students to write programs without knowledge of the complicated syntax of languages like FORTRAN and ALGOL. The language is recursive and contains only four elements for ... More

Experimentally friendly bounds on non-Gaussian entanglement from second momentsJan 21 2009Jan 22 2009We demonstrate that the entanglement in a class of two-mode non-Gaussian states obtained by subtracting photons from Gaussian twin beams can be bounded from above and from below by functionals of the second moments only. Knowledge of the covariance matrix ... More

Generic Entanglement and Standard Form for N-mode Pure Gaussian StatesJun 22 2006Sep 25 2006We investigate the correlation structure of pure N-mode Gaussian resources which can be experimentally generated by means of squeezers and beam splitters, whose entanglement properties are generic. We show that those states are specified (up to local ... More

The isometry group of an $\mathsf{RCD}^\star$-space is LieSep 07 2016We give sufficient conditions to show that both the group of isometries and the group of measure-preserving isometries of a metric measure space are Lie groups. In addition, we study in which cases spaces satisfying a generalized lower Ricci curvature ... More

Vector constants of the motion and orbits in the Coulomb/Kepler problemMar 26 2003The equation for the conic sections describing the possible orbits in a potential $V \sim r^{-1}$ is obtained by means of a vector constant of the motion differing from the traditional Laplace-Runge-Lenz vector.

An extended characterization of a class of optimal three-weight cyclic codes over any finite fieldSep 22 2016A characterization of a class of optimal three-weight cyclic codes of dimension 3 over any finite field was recently presented in [10]. Shortly after this, a generalization for the sufficient numerical conditions of such characterization was given in ... More

The isometry group of an $\mathsf{RCD}^*$-space is LieSep 07 2016Apr 17 2017We give necessary and sufficient conditions that show that both the group of isometries and the group of measure-preserving isometries are Lie groups for a large class of metric measure spaces. In addition we study, among other examples, whether spaces ... More

Ion-specific colloidal aggregation: population balance equations and potential of mean forceDec 27 2014Recently reported colloidal aggregation data obtained for different monovalent salts (NaCl, NaNO$_3$, and NaSCN) and at high electrolyte concentrations are matched with the stochastic solutions of the master equation to obtain bond average lifetimes and ... More

Revisiting the phase diagram of hard ellipsoidsFeb 02 2012Mar 21 2012In this work the well-known Frenkel-Mulder phase diagram of hard ellipsoids of revolution [Mol. Phys. 55, 1171 (1985)] is revisited by means of replica exchange Monte Carlo simulations. The method provides good sampling of dense systems and so, solid ... More

Predicting polarisation hemisphere switch in C60 caused by the motion of an internal point charge with an electrostatic and quantum chemistry solutionsMar 09 2018A classical electrostatic solution for polarisation charge on the interface of a dielectric cavity interacting with an internal point charge is presented. This solution comes from the Gauss electrostatic potential as a sum of two terms, the cavity and ... More

Entanglement of Gaussian statesFeb 07 2007This Dissertation collects my results on the interpretation, characterization, quantification and application of bipartite and multipartite entanglement in Gaussian states of continuous variable systems.

Supersymmetric dark matter in the light of LEPJun 04 2001The negative outcome of searches for supersymmetry performed at LEP have been used to derive indirect constraints on the parameters of the most plausible models for cold dark matter based on supersymmetric extensions of the Standard Model. The main results ... More

On the cut-off phenomenon for the maximum of a sampling of Ornstein-Uhlenbeck processesJul 17 2019In the article we study the so-called cut-off phenomenon in the total variation distance when $n$ tends to infinity for the family of continuous-time stochastic processes indexed by $n\in \mathbb{N}$, \[ \left( \mathcal{Z}^{(n)}_t= \max\limits_{j\in \{1,\ldots,n\}}{X^{(j)}_t}:t\geq ... More

Computing G-groups of Cohen-Macaulay Rings with $n$-Cluster Tilting ObjectsSep 10 2015Jan 25 2016Let $(R, \mathfrak{m}, k)$ denote a local Cohen-Macaulay ring such that the category of maximal Cohen-Macaulay $R$-modules $\textbf{mcm}\ R$ contains an $n$-cluster tilting object $L$. In this paper, we compute $G_1(R) := K_1(\textbf{mod}\ R)$ explicitly ... More

Renormalization of the Nonlinear O(3) Model with Theta-TermAug 29 2012Mar 10 2013The renormalization of the topological term in the two-dimensional nonlinear O(3) model is studied by means of the Functional Renormalization Group. By considering the topological charge as a limit of a more general operator, it is shown that a finite ... More

Non-local conformal symmetry in Fronsdal theoryFeb 14 2017Feb 24 2017We write a first order action for higher-spin fields and construct a canonical map to Fronsdal theory. The first-order description is defined over complex field configurations and has conformal invariance. We show that it is possible to push forward these ... More

On the idempotency of some composite functorsDec 22 2009In this note we present examples of localization functors (in the category of spaces) whose composition with certain cellularization functors is not idempotent, and vice versa.

Homological Algebra for Commutative MonoidsMar 08 2015We first study commutative, pointed monoids providing basic definitions and results in a manner similar commutative ring theory. Included are results on chain conditions, primary decomposition as well as normalization for a special class of monoids which ... More

Variable Exponent Fock SpacesSep 03 2017In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.

Magnetic Interactions in Ball-Milled Spinel FerritesMar 22 2011Spinel Fe3O4 nanoparticles have been produced through ball milling in methyl-alcohol (CH3OH), aiming to obtain samples with similar average particle sizes <d> and different interparticle interactions. Three samples having Fe3O4/CH3(OH) mass ratios R of ... More

Quantum discord for general two--qubit states: Analytical progressMar 16 2011May 19 2011We present a reliable algorithm to evaluate quantum discord for general two--qubit states, amending and extending an approach recently put forward for the subclass of X--states. A closed expression for the discord of arbitrary states of two qubits cannot ... More

Interaction of Flexural Phonons with Electrons in Graphene: A Generalized Dirac Equation in Corrugated SurfacesFeb 03 2011Feb 10 2011A generalized Dirac equation is derived in order to describe charge carriers moving in corrugated graphene, which is the case for temperatures above 10{\deg}K due to the presence of flexural phonons. Such interaction is taken into account by considering ... More

On Schrödinger's equation, 3-dimensional Bessel bridges, and passage time problemsMay 21 2010In this work we relate the density of the first-passage time of a Wiener process to a moving boundary with the three dimensional Bessel bridge process and a solution of the heat equation with a moving boundary. We provide bounds.

Adiabatic Perturbation Theory and Geometric Phases for Degenerate SystemsJan 28 2010May 04 2010We introduce an adiabatic perturbation theory for quantum systems with degenerate energy spectra. This perturbative series enables one to rigorously establish conditions for the validity of the adiabatic theorem of quantum mechanics for degenerate systems. ... More

On the Different Shapes Arising in a Family of Rational Curves Depending on a ParameterSep 27 2009Nov 13 2009Given a family of rational curves depending on a real parameter, defined by its parametric equations, we provide an algorithm to compute a finite partition of the parameter space (${\Bbb R}$, in general) so that the shape of the family stays invariant ... More

Bond Algebras and Exact Solvability of Hamiltonians: Spin S=1/2 Multilayer Systems and Other CuriositiesDec 22 2008We introduce an algebraic methodology for designing exactly-solvable Lie model Hamiltonians. The idea consists in looking at the algebra generated by bond operators. We illustrate how this method can be applied to solve numerous problems of current interest ... More

A symmetry principle for Topological Quantum OrderFeb 16 2007May 24 2007We present a unifying framework to study physical systems which exhibit topological quantum order (TQO). The guiding principle behind our approach is that of symmetries and entanglement. We introduce the concept of low-dimensional Gauge-Like Symmetries ... More

Symmetry and Topological OrderMay 12 2006Oct 22 2014We prove sufficient conditions for Topological Quantum Order at both zero and finite temperatures. The crux of the proof hinges on the existence of low-dimensional Gauge-Like Symmetries (that notably extend and differ from standard local gauge symmetries) ... More

Entanglement sharing: from qubits to Gaussian statesJun 24 2005Jul 14 2006It is a central trait of quantum information theory that there exist limitations to the free sharing of quantum correlations among multiple parties. Such 'monogamy constraints' have been introduced in a landmark paper by Coffman, Kundu and Wootters, who ... More

Complex b-manifoldsFeb 04 2013A complex $b$-structure on a manifold $\M$ with boundary is an involutive subbundle $\bT^{0,1}\M$ of the complexification of $\bT\M$ with the property that $\C\bT\M = \bT^{0,1}\M + \bar{\bT^{0,1}\M}$ as a direct sum; the interior of $\M$ is a complex ... More

Assortment optimisation under a general discrete choice model: A tight analysis of revenue-ordered assortmentsJun 04 2016The assortment problem in revenue management is the problem of deciding which subset of products to offer to consumers in order to maximise revenue. A simple and natural strategy is to select the best assortment out of all those that are constructed by ... More

Quantifying literature quality using complexity criteriaJan 28 2014Jan 24 2015We measured entropy and symbolic diversity for English and Spanish texts including literature Nobel laureates and other famous authors. Entropy, symbol diversity and symbol frequency profiles were compared for these four groups. We also built a scale ... More

On the localization of the roots for Kac polynomialsJul 30 2018Mar 20 2019In this paper, it is considered a Kac polynomial $$W_n(z) = \sum_{k=0}^{n-1} \xi_k z^k,$$ where the coefficients $\xi_0,\ldots,\xi_{n-1}$ are independent and identically distributed non--degenerated real random variables. It is known that the roots of ... More

Acceleration without TemperatureMar 03 2015We show that while some non-uniformly accelerating observers (NUAOs) do indeed see a Bose-Einstein distribution of particles for the expectation value of the number operator in the Minkowski vacuum state, the density matrix is non-thermal and therefore ... More

Quantum coherence fluctuation relationsFeb 16 2018Apr 19 2018We investigate manipulations of pure quantum states under incoherent or strictly incoherent operations assisted by a coherence battery, that is, a storage device whose degree of coherence is allowed to fluctuate in the process. This leads to the derivation ... More

A switch convergence for a small perturbation of a linear recurrence equationOct 22 2018In this article, we study a small random perturbation of a linear recurrence equation. It is well known that if all the roots of its corresponding characteristic equation have modulus strictly less than one, then the random linear recurrence goes exponentially ... More

Acceleration without HorizonsFeb 18 2015We derive the metric of an accelerating observer moving with non-constant proper acceleration in flat spacetime. With the exception of a limiting case representing a Rindler observer, there are no horizons. In our solution, observers can accelerate to ... More

Fock Parafermions and Self-Dual Representations of the Braid GroupJul 23 2013We introduce and describe in second quantization a family of particle species with \(p=2,3,\dots\) exclusion and \(\theta=2\pi/p\) exchange statistics. We call these anyons Fock parafermions, because they are the particles naturally associated to the ... More

IBVP for anisotropic fractional type degenerate parabolic equationMar 08 2019This paper is a generalization of the author's previous work [14]. We extend the argument [14] for any uniformly elliptic operator in divergence form $\mathcal{L}u=-div(A(x)\nabla u)$, more precisely, we study a fractional type degenerate elliptic equation ... More

A switch convergence for a small perturbation of a linear recurrence equationOct 22 2018May 22 2019In this article, we study a small random perturbation of a linear recurrence equation. If all the roots of its corresponding characteristic equation have modulus strictly less than one, then the random linear recurrence goes exponentially fast to its ... More

Echo State Queueing Network: a new reservoir computing learning toolDec 26 2012In the last decade, a new computational paradigm was introduced in the field of Machine Learning, under the name of Reservoir Computing (RC). RC models are neural networks which a recurrent part (the reservoir) that does not participate in the learning ... More

Cut-off phenomenon for stochastic small perturbations of $m$-dimensional dynamical systemsOct 30 2015We study the cut-off phenomenon for a family of stochastic small perturbations of a $m$-dimensional dynamical system. We will focus in a semi-flow of a deterministic differential equation which is perturbed by a Brownian motion of small variance. Under ... More

Purely Periodic and Transcendental Complex Continued FractionsMay 21 2018Jan 31 2019Adolf Hurwitz proposed in 1887 a continued fraction algorithm for complex numbers: Hurwitz continued fractions (HCF). Among other similarities between HCF and regular continued fractions, quadratic irrational numbers over $\mathbb{Q}(i)$ are precisely ... More

Hypoellipticity and vanishing theoremsJan 24 2013Let $-\im\Lie_\T$ (essentially Lie derivative with respect to $\T$, a smooth nowhere zero real vector field) and $P$ be commuting differential operators, respectively of orders 1 and $m\geq 1$, the latter formally normal, both acting on sections of a ... More

Multivariate orthogonal Laurent polynomials and integrable systemsJun 29 2015Jun 30 2015An ordering for Laurent polynomials in the algebraic torus $(\mathbb C^*)^D$, inspired by the Cantero-Moral-Vel\'azquez approach to orthogonal Laurent polynomials in the unit circle, leads to the construction of a moment matrix for a given Borel measure ... More

Graph Convolutional Transformer: Learning the Graphical Structure of Electronic Health RecordsJun 11 2019Effective modeling of electronic health records (EHR) is rapidly becoming an important topic in both academia and industry. A recent study showed that utilizing the graphical structure underlying EHR data (e.g. relationship between diagnoses and treatments) ... More

Trajectory stability in the traveling salesman problemAug 23 2017Two generalizations of the traveling salesman problem in which sites change their position in time are presented. The way the rank of different trajectory lengths changes in time is studied using the rank diversity. We analyze the statistical properties ... More

Graph Convolutional Transformer: Learning the Graphical Structure of Electronic Health RecordsJun 11 2019Jun 28 2019Effective modeling of electronic health records (EHR) is rapidly becoming an important topic in both academia and industry. A recent study showed that utilizing the graphical structure underlying EHR data (e.g. relationship between diagnoses and treatments) ... More

Quantum versus classical correlations in Gaussian statesMar 25 2010Jul 15 2010Quantum discord, a measure of genuinely quantum correlations, is generalized to continuous variable systems. For all two-mode Gaussian states, we calculate analytically the quantum discord and a related measure of classical correlations, solving an optimization ... More

Music Viewed by its Entropy Content: A Novel Window for Comparative AnalysisOct 07 2015Jan 12 2017Polyphonic music files were analyzed using the set of symbols that produced the Minimal Entropy Description which we call the Fundamental Scale. This allowed us to create a novel space to represent music pieces by developing: a) a method to adjust a description ... More

Weakly driven anomalous diffusion in non-ergodic regime: an analytical solutionDec 04 2013We derive the probability density of a diffusion process generated by nonergodic velocity fluctuations in presence of a weak potential, using the Liouville equation approach. The velocity of the diffusing particle undergoes dichotomic fluctuations with ... More

Quantum benchmarks for pure single-mode Gaussian statesAug 09 2013Jan 08 2014Teleportation and storage of continuous variable states of light and atoms are essential building blocks for the realization of large scale quantum networks. Rigorous validation of these implementations require identifying, and surpassing, benchmarks ... More

A simple solvable energy landscape model that shows a thermodynamic phase transition and a glass transitionMar 08 2012Mar 14 2012When a liquid melt is cooled, a glass or phase transition can be obtained depending on the cooling rate. Yet, this behavior has not been clearly captured in energy landscape models. Here a model is provided in which two key ingredients are considered ... More

Interplay between computable measures of entanglement and other quantum correlationsNov 15 2011Composite quantum systems can be in generic states characterized not only by entanglement, but also by more general quantum correlations. The interplay between these two signatures of nonclassicality is still not completely understood. In this work we ... More

$nu=5/2$ Fractional Quantum Hall State in Low-Mobility Electron Systems: Different Roles of DisorderJan 31 2011We report the observation of a fully developed fractional quantum Hall state at $\nu=5/2$ in GaAs/Al$_{x}$Ga$_{1-x}$As quantum wells with mobility well below $10^{7}$\thinspace cm$^{2}$/Vs. This is achieved either by strong illumination or reducing the ... More

Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structureMay 20 2008Oct 11 2008We investigate the structural aspects of genuine multipartite entanglement in Gaussian states of continuous variable systems. Generalizing the results of [Adesso & Illuminati, Phys. Rev. Lett. 99, 150501 (2007)], we analyze whether the entanglement shared ... More

Quantum Benchmark for Teleportation and Storage of Squeezed StatesNov 22 2007Apr 29 2008We provide a quantum benchmark for teleportation and storage of single-mode squeezed states with zero displacement and a completely unknown degree of squeezing along a given direction. For pure squeezed input states, a fidelity higher than 81.5% has to ... More

Autocorrelations and Thermal Fragility of Anyonic Loops in Topologically Quantum Ordered SystemsSep 18 2007Sep 26 2007Are systems that display Topological Quantum Order (TQO), and have a gap to excitations, hardware fault-tolerant at finite temperatures? We show that in surface code models that display low d-dimensional Gauge-Like Symmetries, such as Kitaev's and its ... More

Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian statesJun 15 2005Jun 23 2005In this work we focus on entanglement of two--mode Gaussian states of continuous variable systems. We first review the formalism of Gaussian measures of entanglement, adopting the framework developed in [M. M. Wolf {\em et al.}, Phys. Rev. A {\bf 69}, ... More

Monte-Carlo rejection as a tool for measuring the energy landscape scaling of simple fluidsFeb 09 2005A simple modification of the Monte-Carlo algortihm is proposed to explore the topography and the scaling of the energy landscape. We apply this idea to a simple hard-core fluid. The results for different packing fractions show a power law scaling of the ... More

Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systemsOct 06 2004Feb 02 2006For continuous-variable systems, we introduce a measure of entanglement, the continuous variable tangle ({\em contangle}), with the purpose of quantifying the distributed (shared) entanglement in multimode, multipartite Gaussian states. This is achieved ... More

Good's Theorem for Hurwitz Continued FractionsJun 29 2018May 05 2019Good's Theorem for regular continued fraction states that the set of real numbers $[a_0;a_1,a_2,\ldots]$ such that $\displaystyle\lim_{n\to\infty} a_n=\infty$ has Hausdorff dimension $\tfrac{1}{2}$. We show an analogous result for the complex plane and ... More

Asymptotic morphisms and superselection theory in the scaling limitMay 29 2012Given a local Haag-Kastler net of von Neumann algebras and one of its scaling limit states, we introduce a variant of the notion of asymptotic morphism by Connes and Higson, and we show that the unitary equivalence classes of (localized) morphisms of ... More

Polynomial description of inhomogeneous topological superconducting wiresJul 04 2017Jul 25 2017We present universal features of the topological invariant of p-wave superconducting wires after the inclusion of spatial inhomogeneities. Three classes of distributed potentials are studied, a single- impurity, a commensurate and an incommensurate model ... More

A binary encoding of spinors and applicationsMay 25 2019We present a binary code for spinors and Clifford multiplication using non-negative integers and their binary expressions, which can be easily implemented in computer programs for explicit calculations. As applications, we present explicit descriptions ... More

Asymptotic morphisms and superselection theory in the scaling limit II: analysis of some modelsJan 22 2019We introduced in a previous paper a general notion of asymptotic morphism of a given local net of observables, which allows to describe the sectors of a corresponding scaling limit net. Here, as an application, we illustrate the general framework by analyzing ... More

Explaining an increase in predicted risk for clinical alertsJul 10 2019Much work aims to explain a model's prediction on a static input. We consider explanations in a temporal setting where a stateful dynamical model produces a sequence of risk estimates given an input at each time step. When the estimated risk increases, ... More

Topics on heavy baryon chiral perturbation theory in the large N_c limitJul 10 2002We compute nonanalytical pion-loop corrections to baryon masses in a combined expansion in chiral symmetry breaking and 1/N_c, where N_c is the number of colors. Specifically, we compute flavor-27 baryon mass splittings at leading order in chiral perturbation ... More

One loop renormalization of soliton quantum mass corrections in (1+1)-dimensional scalar field theory modelsJun 06 2002Aug 13 2002The bare one loop soliton quantum mass corrections can be expressed in two ways: as a sum over the zero-point energies of small oscillations around the classical configuration, or equivalently as the (Euclidean) effective action per unit time. In order ... More

Quantum LC circuits with charge discreteness: normal and anomalous spectrumJun 30 2005A solvable quantum $LC$ circuit with charge discreteness is studied. Two discrete spectral branches are obtained: (i) the normal branch corresponding to a charged capacitor with integer effective charge $k=q_{e}n$ ($q_{e}$ elementary charge, $n$ integer) ... More

Symbology from set theory applied to ecological systems: Gause's exclusion principle and applicationsJun 28 2005We introduce a symbolic representation like set theory to consider ecologic interactions between species (ECOSET). The ecologic exclusion principle (Gause) is put in a symbolic way and used as operational tool to consider more complex cases like interaction ... More

Mesoscopic circuits with charge discreteness:quantum transmission linesOct 01 2001We propose a quantum Hamiltonian for a transmission line with charge discreteness. The periodic line is composed of an inductance and a capacitance per cell. In every cell the charge operator satisfies a nonlinear equation of motion because of the discreteness ... More

Defect properties of Sn- and Ge-doped ZnTe: Suitability for intermediate-band solar cellsSep 11 2017Oct 05 2017We investigate the electronic structure and defect properties of Sn- and Ge- doped ZnTe by first-principles calculations within the DFT+$GW$ formalism. We find that $(\text{Sn}_\text{Zn})$ and $(\text{Ge}_\text{Zn})$ introduce isolated energy levels deep ... More

The Action by Natural Transformations of a Group on a Diagram of SpacesNov 22 2004For $\Cc$ a $G$-category, we give a condition on a diagram of simplicial sets indexed on $\Cc$ that allows us to define a natural $G$-action on its homotopy colimit, and in some other simplicial sets and categories defined in terms of the diagram. Well-known ... More

Reply to "Comment on One loop renormalization of soliton quantum mass corrections in (1+1)-dimensional scalar field theory models" (hep-th/0211149)Dec 05 2002I agree with the authors of hep-th/0211149 that the claim made in Phys.Lett. B542, 282 (2002) is incorrect and that the derivation of its main formula, although correct, contains two compensating errors. In this reply the main formula of Phys.Lett. B542, ... More

Galaxy and star formation up to z ~ 1Sep 21 2001Star formation history shows a gradual decline since the last 8-9 Gyr (z=1). The bulk of present-day stellar mass and metal content was formed at redshifts lower than 2-3, which is consistent with a hierarchical scenario of galaxy formation. Observations ... More

On the semisimplicity of the outer derivations of monomial algebrasApr 16 2010We show that the Hochschild cohomology of a monomial algebra over a field of characteristic zero vanishes from degree two if the first Hochschild cohomology is semisimple as a Lie algebra. We also prove that first Hochschild cohomology of a radical square ... More

An axiomatic theory for interaction between species in ecology: Gause's exclusion conjectureNov 20 2006I introduce an axiomatic representation, called ecoset, to consider interactions between species in ecological systems. For interspecific competition, the exclusion conjecture (Gause) is put in a symbolic way and used as a basic operational tool to consider ... More

Quantum capacitor with discrete charge-anticharge: spectrum and forcesNov 03 2009The quantum capacitor with discrete charge is modeled by a Hamiltonian containing an inductive intrinsic term (tunnel effect between plates). The spectrum is obtained using a double Hilbert space. Fluctuations in the charge-anticharge pairs (zero total ... More

Comment on "quantum theory for mesosocopic electric circuits". Cond-mat/9907171 and cond-mat/9606206Aug 01 1999In references cond-mat/9907171 and cond-mat/9606206 (Phys.Rev.B.53, 4927 (1996)) by You-Quan Li and Bin Chen, was considered a mesoscopic LC circuit with charge discreteness. So, it was proposed a finite difference Schroedinger equation for the charge ... More

Representations of Generalized Almost-Jordan algebrasSep 18 2013This paper deals with the variety of commutative algebras satisfying one of the four families of degree four identities found by Carini, Hentzel and Piacentini-Cattaneo in 1988. We give a characterization of representations and irreducible modules on ... More

Hartogs type extension theoremsOct 14 2002Dec 03 2004This paper has been withdrawn by the authors due to an error.

Why Kastner analysis does not apply to a modified Afshar experimentFeb 22 2007In an analysis of the Afshar experiment R.E. Kastner points out that the selection system used in this experiment randomly separates the photons that go to the detectors, and therefore no which-way information is obtained. In this paper we present a modified ... More

A Case of Quantum ScatteringMay 16 2019We analyze the results of an experimental setup that consist of two statistically independent laser beams that cross, interfere and end at detectors. At the beam intersection we place a thin wire at the center of a dark interference fringe and analyze ... More

The Lie structure on the Hochschild cohomology of a modular group algebraMar 16 2011We prove that the Gerstenhaber bracket on the Hochschild cohomology of the group algebra of a cyclic group over a field of positive characteristic is not trivial. In this case, we relate the Lie algebra structure on the odd degrees of the Hochschild cohomology ... More

The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zeroNov 18 2007Sep 05 2008We study the Lie module structure given by the Gerstenhaber bracket on the Hochschild cohomology groups of a monomial algebra with radical square zero. The description of such Lie module structure will be given in terms of the combinatorics of the quiver. ... More

Heavy quarkonium properties from Cornell potential using variational method and supersymmetric quantum mechanicOct 09 2014Using the variational method and supersymmetric quantum mechanic we calculate in a approximate way eigenvalues, eigenfunctions and wave functions at origin of Cornell potential. We compare results with numerical solutions for heavy quarkonia $c\bar{c}$, ... More

A Prediction of Observable Rotation in the ICM of Abell 3266Mar 13 2000We present a numerical Hydro+N-body model of A3266 whose X-ray surface brightness, temperature distribution, and galaxy spatial and velocity distribution data are consistent with the A3266 data. The model is an old (~3 Gyr), off-axis merger having a mass ... More

Cryptography with right-angled Artin groupsOct 20 2016In this paper we propose right-angled Artin groups as platform for a secret sharing scheme based on the efficiency (linear time) of the word problem. We define two new problems: subgroup isomorphism problem for Artin subgroups and group homomorphism problem ... More

Cryptography with right-angled Artin groupsOct 20 2016Nov 21 2016In this paper we propose right-angled Artin groups as platform for a secret sharing scheme based on the efficiency (linear time) of the word problem. We define two new problems: subgroup isomorphism problem for Artin subgroups and group homomorphism problem ... More

On the Spectrum and Spacetime Supersymmetry of Heterotic Ambitwistor StringMar 14 2019We analyse the BRST cohomology of the Ramond sector of heterotic ambitwistor theory. We also write the free string field theory action and compute the supersymmetry transformations.