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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

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 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

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

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

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

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

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 characterization of a class of optimal three-weight cyclic codes of dimension 3 over any finite fieldAug 20 2015It is well known that the problem of determining the weight distributions of families of cyclic codes is, in general, notoriously difficult. An even harder problem is to find characterizations of families of cyclic codes in terms of their weight distributions. ... More

A proposal about the meaning of scale, scope and resolution in the context of the interpretation processJan 15 2017Sep 21 2018When considering perceptions, the observation scale and resolution are closely related properties. There is consensus in considering resolution as the density of elementary pieces of information in a specified information space. Differently, with the ... More

The Set of Prime NumbersSep 11 2007In this work we show that the prime distribution is deterministic. Indeed the set of prime numbers P can be expressed in terms of two subsets of N using three specific selection rules, acting on two sets of prime candidates. The prime candidates are obtained ... More

Selected topics from non-Higgs searches at LEPJun 24 2002Extensive searches for new phenomena have been performed at LEP. The principal aspects and results of those not related to Higgs bosons are reviewed here.

Standard Grand Unification from SuperstringsJul 28 1995Recent developments about the construction of standard $SO(10)$ and $SU(5)$ grand unified theories from 4-dimensional superstrings are presented. Explicit techniques involving higher level affine Lie algebras, for obtaining such stringGUTs from symmetric ... More

The Structure of Charges in the Ultraviolet and an Intrinsic Notion of ConfinementJan 18 2002May 27 2002After a brief account of the algebraic version of renormalization group developed by Buchholz and Verch, and of the main results of the Doplicher-Haag- Roberts theory of superselection sectors, we introduce the notion of asymptotic charge transfer chain, ... 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.

On an identification of the Lipschitz-free spaces over subsets of $\mathbb{R}^{n}$Mar 13 2017In this short note, we develop a method for identifying the spaces $Lip_{0}(U)$ for every nonempty open convex $U$ of $\mathbb{R}^{n}$ and $n\in\mathbb{N}$. Moreover, we show that $\mathcal{F}(U)$ is identified with a quotient of $L^{1}(U;\mathbb{R}^{n})$. ... More

On the dynamic pull-in instability in a mass-spring model of electrostatically actuated MEMS devicesFeb 19 2016In this work we study the mass-spring system \begin{equation} \ddot x + \alpha \dot x + x = - \frac{\lambda} {(1+x)^{2}}, \label{e:inertia} \end{equation} which is a simplified model for an electrostatically actuated MEMS device. The static pull-in value ... More

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

A bt-algebra of type BMar 26 2017We introduce a bt-algebra of type B. We define this algebra doing the natural analogy with the original construction of the bt-algebra. Notably we find a basis for it, a faithful tensorial representation, and we prove that it supports a Markov trace, ... More

Comment on Synthesis of rhenium nitride crystal with MoS2 structureOct 10 2012Oct 16 2012Kawamura et. al. recently published an article about the synthesis of rhenium nitride with MoS2-type structure [APL 100, 251910(2012)]. We disagree with the composition proposed by Kawamura. The compound synthesized by Kawamura is ReN3, or a compound ... More

Simple proof of the robustness of Gaussian entanglement in bosonic noisy channelsFeb 11 2011The extremality of Gaussian states is exploited to show that Gaussian states are the most robust, among all possible bipartite continuous-variable states at fixed energy, against disentanglement due to noisy evolutions in Markovian Gaussian channels involving ... More

The social aspects of quantum entanglementJun 02 2007This brief article discusses some aspects of quantum theory and their impact on popular culture. The basic features of quantum entanglement between two or more parties are introduced in a language suitable for a general audience, and metaphorically connected ... More

Dark Matter and SUSY: LEP resultsFeb 07 2001The negative outcome of searches for supersymmetry performed at LEP have been used to derive indirect constraints on the parameters of the most plausible supersymmetric candidates for cold dark matter, in particular for the lightest neutralino. We review ... More

The generalized stochastic preference choice modelMar 07 2018Mar 13 2018We propose a new discrete choice model that generalizes the random utility model (RUM). We show that this model, called the \emph{Generalized Stochastic Preference} (GSP) model can explain several choice phenomena that can't be represented by a RUM. In ... More

Search for SUSY with R-parity violation at LEPNov 27 1998Searches for supersymmetry at LEP allowing for R-parity violation are reviewed. The results are compared with the R-parity conserving scenarios.

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

SOCP relaxation bounds for the optimal subset selection problem applied to robust linear regressionMay 29 2015This paper deals with the problem of finding the globally optimal subset of h elements from a larger set of n elements in d space dimensions so as to minimize a quadratic criterion, with an special emphasis on applications to computing the Least Trimmed ... More

Thermalisation for Stochastic Small Random Perturbations of Hyperbolic Dynamical SystemsOct 30 2015Feb 05 2018We consider an ordinary differential equation with a unique hyperbolic attractor at origin. Now we add a small random perturbation to this differential equation. Under general conditions, as times goes by the solution of this stochastic differential equation ... 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

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

Spectrally unstable domainsMar 01 2016Let $H$ be a separable Hilbert space, $A_c:\mathcal D_c\subset H\to H$ a densely defined unbounded operator, bounded from below, let $\mathcal D_{\min}$ be the domain of the closure of $A_c$ and $\mathcal D_{\max}$ that of the adjoint. Assume that $\mathcal ... 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

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

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

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

Linear spectral transformations for multivariate orthogonal polynomials and multispectral Toda hierarchiesNov 30 2015Mar 22 2016Linear spectral transformations of orthogonal polynomials in the real line, and in particular Geronimus transformations, are extended to orthogonal polynomials depending on several real variables. Multivariate Christoffel-Geronimus-Uvarov formulae for ... More

Darboux transformations for multivariate orthogonal polynomialsMar 16 2015Jun 01 2015Darboux transformations for polynomial perturbations of a real multivariate measure are found. The 1D Christoffel formula is extended to the multidimensional realm: multivariate orthogonal polynomials are expressed in terms of last quasi-determinants ... More

Multivariate orthogonal polynomial and integrable systemsSep 01 2014Mar 05 2015Multivariate orthogonal polynomials in $D$ real dimensions are considered from the perspective of the Cholesky factorization of a moment matrix. The approach allows for the construction of corresponding multivariate orthogonal polynomials, associated ... More

Matrix Orthogonal Laurent Polynomials on the Unit Circle and Toda Type Integrable SystemsNov 30 2013Matrix orthogonal Laurent polynomials in the unit circle and the theory of Toda-like integrable systems are connected using the Gauss--Borel factorization of two, left and a right, Cantero-Morales-Velazquez block moment matrices, which are constructed ... More

Entanglement quantification made easy: Polynomial measures invariant under convex decompositionDec 10 2015Jan 22 2016Quantifying entanglement in composite systems is a fundamental challenge, yet exact results are only available in few special cases. This is because hard optimization problems are routinely involved, such as finding the convex decomposition of a mixed ... More

Salem--Zygmund Inequality for Locally sub--Gaussian Random Variables and Random Trigonometric PolynomialsOct 18 2016Mar 20 2019In this paper, we provide an extension of the classic Salem--Zygmund inequality for locally sub--Gaussian random variables. As a application we study the location of the roots of a Kac polynomial. Under log--moment assumption, it is well known that the ... More

Discrete convolution operators and Riesz systems generated by actions of abelian groupsApr 23 2019We study the bounded endomorphisms of $\ell_{N}^2(G)=\ell^2(G)\times \dots \times\ell^2(G)$ that commute with translations, where $G$ is a discrete abelian group. It is shown that they form a C*-algebra isomorphic to the C*-algebra of $N\times N$ matrices ... More

A non-iterative method for optimizing linear functions in convex linearly constrained spacesSep 20 2018This document introduces a strategy to solve linear optimization problems. The strategy is based on the bounding condition each constraint produces on each one of the problem's dimension. The solution of a linear optimization problem is located at the ... 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

A Trolling Hierarchy in Social Media and A Conditional Random Field For Trolling DetectionApr 07 2017An-ever increasing number of social media websites, electronic newspapers and Internet forums allow visitors to leave comments for others to read and interact. This exchange is not free from participants with malicious intentions, which do not contribute ... More

Modeling Trolling in Social Media ConversationsDec 15 2016Dec 28 2016Social media websites, electronic newspapers and Internet forums allow visitors to leave comments for others to read and interact. This exchange is not free from participants with malicious intentions, who troll others by positing messages that are intended ... More

Thermalisation for Stochastic Small Random Perturbations of Hyperbolic Dynamical SystemsOct 30 2015Mar 15 2019We consider an ordinary differential equation with a unique hyperbolic attractor at the origin, to which we add a small random perturbation. It is known that under general conditions, the solution of this stochastic differential equation converges exponentially ... More

Quantifying literature quality using complexity criteriaJan 28 2014Jan 15 2017We 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

Nature of light correlations in ghost imagingAug 28 2012We investigate the nature of correlations in Gaussian light sources used for ghost imaging. We adopt methods from quantum information theory to distinguish genuinely quantum from classical correlations. Combining a microscopic analysis of speckle-speckle ... More

Airy-heat functions, Hermite and higher order Hermite generating functionsSep 05 2010In this note we discuss the relationship between the generating functions of some Hermite polynomials $H$, $ \sum\limits_{j=0}^\infty H_{j\cdot n}(u) z^n/n!$, generalized Airy-Heat equations $(1/2\pi)\int_{-\infty}^{+\infty}\exp\{a(i\lambda)^n-(1/2)\lambda^2t+i\lambda ... More

Entanglement entropy and the determination of an unknown quantum stateNov 28 2008An initial unknown quantum state can be determined with a single measurement apparatus by letting it interact with an auxiliary, "Ancilla", system as proposed by Allahverdyan, Balian and Nieuwenhuizen [Phys. Rev. Lett. 92, 120402 (2004)]. In the case ... More

Scaling limit for subsystems and Doplicher-Roberts reconstructionAug 08 2008Given an inclusion $B \subset F$ of (graded) local nets, we analyse the structure of the corresponding inclusion of scaling limit nets $B_0 \subset F_0$, giving conditions, fulfilled in free field theory, under which the unicity of the scaling limit of ... More

Standard forms and entanglement engineering of multimode Gaussian states under local operationsMay 08 2007Jul 10 2007We investigate the action of local unitary operations on multimode (pure or mixed) Gaussian states and single out the minimal number of locally invariant parametres which completely characterise the covariance matrix of such states. For pure Gaussian ... More

The equivalence principle, uniformly accelerated reference frames, and the uniform gravitational fieldMar 15 2010The relationship between uniformly accelerated reference frames in flat spacetime and the uniform gravitational field is examined in a relativistic context. It is shown that, contrary to previous statements in the pages of this journal, equivalence does ... More

From global symmetries to local currents: the free (scalar) case in 4 dimensionsNov 28 2008Nov 02 2009Within the framework of algebraic quantum field theory, we propose a new method of constructing local generators of (global) gauge symmetries in field theoretic models, starting from the existence of unitary operators implementing locally the flip automorphism ... More

Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian CaseMar 30 2007Oct 09 2007We demonstrate the existence of general constraints on distributed quantum correlations, which impose a trade-off on bipartite and multipartite entanglement at once. For all N-mode Gaussian states under permutation invariance, we establish exactly a monogamy ... More

Variation of the glass transition temperature with rigidity and chemical compositionOct 03 2005The effects of flexibility and chemical composition in the variation of the glass transition temperature are obtained by using the Lindemann criteria, that relates melting temperature with atomic vibrations. Using this criteria and that floppy modes at ... More

BCS-to-BEC crossover from the exact BCS solutionMar 29 2005Jun 06 2005The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in a superconducting and Fermi superfluid medium is studied from the exact ground state wavefunction of the reduced BCS Hamiltonian. As the strength of the interaction increases, the ground ... More

Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable TeleportationDec 15 2004Sep 04 2005We devise the optimal form of Gaussian resource states enabling continuous variable teleportation with maximal fidelity. We show that a nonclassical optimal fidelity of $N$-user teleportation networks is {\it necessary and sufficient} for $N$-party entangled ... More

Twistor Spaces of Riemannian Manifolds with Even Clifford StructuresFeb 12 2016In this paper we introduce the twistor space of a Riemannian manifold with an even Clifford structure. This notion generalizes the twistor space of quaternion-Hermitian manifolds and weak-Spin(9) structures. We also construct almost complex structures ... More

A model of quantum realityMay 27 2013Here we propose a model of particles and fields based on the mathematical framework of quantum physics. Our model is an interpretation of quantum physics that treats particles and fields as physically real. We analyze four experiments on wave-particle ... More

On Poisson structures on R4Jun 21 2013Dec 18 2015This paper is devoted to the study of Poisson structures on the Euclidean four dimensional space R4. By using the properties of the trace operator associated to a volumen form and the elementary vector calculus operations in R3, we give explicit formulas ... More

Classical Propagation in the Quantum Inverted OscillatorDec 06 2016Jan 30 2017We emphasize the fact the evolution of quantum states in the inverted oscillator (IO) is reduced to classical equations of motion, stressing that the corresponding tunnelling and reflexion coefficients addressed in the literature are calculated by considering ... More

Phase-coherence time saturation in mesoscopic systems: wave function collapseFeb 13 2000A finite phase-coherence time $\tau_{\phi}^{meas}$ emerges from iterative measurement onto a quantum system. For a rapid sequence, the phase-coherence time is found explicitly. For the stationary charge conduction problem, it is bounded. At all order, ... More

A mathematical model for Neanderthal extinctionDec 12 1997A simple mathematical homogeneous model of competition is used to describe Neanderthal extinction in Europe. It considers two interacting species, Neanderthals and Early Modern Men, in the same ecological niche. Using paleontological data we claim that ... More

On the (strict) positivity of solutions of the stochastic heat equationJun 08 2012May 30 2014We give a new proof of the fact that the solutions of the stochastic heat equation, started with non-negative initial conditions, are strictly positive at positive times. The proof uses concentration of measure arguments for discrete directed polymers ... More

On the Nash modification of a germ of complex analytic singularityAug 26 2016For a germ $(X,0) \subset (\mathbb{C}^n,0)$ of reduced, equidimensional complex analytic singularity its Nash modification can be constructed as an analytic subvariety $ Z \subset \mathbb{C}^n \times G(k,n)$. We give a characterization of the subvarieties ... More

Cellular covers of local groupsJul 25 2017We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.

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

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

The quantum vacuum: an interpretation of quantum mechanicsOct 21 2010We assume that particles are point-like objects even when not observed. We report on the consequences of our assumption within the realm of quantum theory. An important consequence is the necessity of vacuum fields to account for particle dynamics. The ... More

Reply to Comments of Steuernagel on the Afshar's ExperimentFeb 02 2008We respond to criticism of our paper "Paradox in Wave-Paricle Duality for Non-Perturbative Measurements". We disagree with Steuernagel's derivation of the visibility of the Afshar experiment. To calculate the fringe visibility, Steuernagel utilizes two ... More

Relation between chemical force and tunneling current in point contacts: a simple modelJun 18 2010Sep 15 2011Aim of this paper is to find out a simple model, which provides more insight into the relation between the tunneling current and the chemical force arising during formation of atomic contact in between a SPM probe and surface atom.

Is planetary chaos related to evolutionary (phenotypic) rates?Sep 26 2008After Laskar, the Lyapunov time in the solar system is about five millions years (5.000.000 [years]). On the other hand, after Kimura, the evolutionary (phenotypic) rate, for hominids, is 1/5.000.000 [1/years]. Why are these two quantities so closely ... More

Nullification functors and the homotopy type of the classifying space for proper bundlesOct 18 2005Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space PBG for proper G-bundles has the homotopy type of the W-nullification of BG. We use ... More

Symmetric energy-momentum tensor in Maxwell, Yang-Mills, and Proca theories obtained using only Noether's theoremFeb 20 2006The symmetric and gauge-invariant energy-momentum tensors for source-free Maxwell and Yang-Mills theories are obtained by means of translations in spacetime via a systematic implementation of Noether's theorem. For the source-free neutral Proca field, ... 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.

Linear structure of functions with maximal Clarke subdifferentialSep 03 2018It is hereby established that the set of Lipschitz functions $f:\mathcal{U}\rightarrow \mathbb{R}$ ($\mathcal{U}$ nonempty open subset of $\ell_{d}^{1}$) with maximal Clarke subdifferential contains a linear subspace of uncountable dimension (in particular, ... More

How stochastic synchrony could work in cerebellar Purkinje cellsAug 13 2014Simple spike synchrony between Purkinje cells projecting to a common neuron in the deep cerebellar nucleus is emerging as an important factor in the encoding of output information from cerebellar cortex. Stochastic synchronization is a viable mechanism ... More

Levinson Theorem for Differential Equations with Piecewise Constant Argument GeneralizedSep 29 2014May 20 2015In this work, it is presented an adaptation of an asymptotic theorem of N. Levinson of 1948, to differential equation with piecewise constant argument generalized, which were introduced by M. Akhmet in 2007. By simplicity and without loss of generality, ... More

Framization of a Temperley-Lieb algebra of type $\mathtt{B}$Aug 07 2017Oct 17 2018In this paper we first discuss a Temperley-Lieb algebra associated to the Coxeter group of type $\mathtt{B}$ which is the natural extension of the classical case, in the sense that it can be expressed as a quotient of the Hecke algebra of type B over ... 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 Tutorial about Random Neural Networks in Supervised LearningSep 15 2016Random Neural Networks (RNNs) are a class of Neural Networks (NNs) that can also be seen as a specific type of queuing network. They have been successfully used in several domains during the last 25 years, as queuing networks to analyze the performance ... More

A solution to the heat equation with a cubic moving boundaryJun 16 2016Jul 27 2016In this work we find a solution to problem of the heat equation which is annihiliated at a cubic boundary $f$. The solution turns out to be the convolution between the fundamental solution of the heat equation and a function $\phi$ which solves a third ... 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

Abrupt convergence for stochastic small perturbations of one dimensional dynamical systemsOct 30 2015We study the cut-off phenomenon for a family of stochastic small perturbations of a one dimensional dynamical system. We will focus in a semi-flow of a deterministic differential equation which is perturbed by adding to the dynamics a white noise of small ... More

Calculating entropy at different scales among diverse communication systemsOct 05 2015We evaluated the impact of changing the observation scale over the entropy measures for text descriptions. MIDI coded Music, computer code and two human natural languages were studied at the scale of characters, words, and at the Fundamental Scale resulting ... More

Centralizers of spin subalgebrasMar 20 2015Jun 11 2015We determine the centralizers of certain isomorphic copies of spin subalgebras $\mathfrak{spin}(r)$ in $\mathfrak{so}(d_rm)$, where $d_r$ is the dimension of a real irreducible representation of $Cl_r^0$, the even Clifford algebra determined by the positive ... More

A Fundamental Scale of Descriptions for Analyzing Information Content of Communication SystemsDec 29 2014Mar 28 2015The complexity of a system description is a function of the entropy of its symbolic description. Prior to computing the entropy of the system description, an observation scale has to be assumed. In natural language texts, typical scales are binary, characters, ... More

Einstein-Podolsky-Rosen steering measure for two-mode continuous variable statesNov 03 2014Mar 10 2015Steering is a manifestation of quantum correlations that embodies the Einstein-Podolsky-Rosen (EPR) paradox. While there have been recent attempts to quantify steering, continuous variable systems remained elusive. We introduce a steering measure for ... More

Generalized Thue-Morse Continued FractionsFeb 07 2013The Thue-Morse sequence is generalized to the $TM_m$ sequences and two equivalent definitions are given. This generalization leads to transcendental numbers and has Queff\'elec's theorem on Thue-Morse continued fractions as a special case. It is also ... More

Theory of genuine tripartite nonlocality of Gaussian statesJul 11 2013Nov 23 2013We investigate the genuine multipartite nonlocality of three-mode Gaussian states of continuous variable systems. For pure states, we present a simplified procedure to obtain the maximum violation of the Svetlichny inequality based on displaced parity ... More

Unveiling the Hanbury Brown and Twiss effect through Renyi entropy correlationsOct 28 2012Adopting a quantum information perspective, we analyse the correlations in the thermal light beams used to demonstrate the Hanbury Brown and Twiss effect. We find that the total correlations measured by the Renyi mutual information match the normalised ... More

The Adiabatic Theorem for Quantum Systems with Spectral DegeneracyNov 22 2011Jun 18 2012By stating the adiabatic theorem of quantum mechanics in a clear and rigorous way, we establish a necessary condition and a sufficient condition for its validity, where the latter is obtained employing our recently developed adiabatic perturbation theory. ... More

Observable measure of bipartite quantum correlationsOct 23 2011Apr 13 2012We introduce a measure Q of bipartite quantum correlations for arbitrary two-qubit states, expressed as a state-independent function of the density matrix elements. The amount of quantum correlations can be quantified experimentally by measuring the expectation ... More

A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravityDec 06 2007Dec 17 2007We show that a class of type IIA vacua recently found within the N=4 effective approach corresponds to compactification on Ads_4 \times S^3 \times S^3/Z_2^3. The results obtained using the effective method completely match the general ten-dimensional ... More