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Results for "Luca Cavalli"

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Towards Affordance Prediction with Vision via Task Oriented Grasp Quality MetricsJul 10 2019While many quality metrics exist to evaluate the quality of a grasp by itself, no clear quantification of the quality of a grasp relatively to the task the grasp is used for has been defined yet. In this paper we propose a framework to extend the concept ... More
On a family of critical growth-fragmentation semigroups and refracted Lévy processesDec 19 2018Apr 29 2019The growth-fragmentation equation models systems of particles that grow and split as time proceeds. An important question concerns the large time asymptotic of its solutions. Doumic and Escobedo ($2016$) observed that when growth is a linear function ... More
On a family of critical growth-fragmentation semigroups and refracted Lévy processesDec 19 2018The growth-fragmentation equation models systems of particles that grow and split as time proceeds. An important question concerns the large time asymptotic of its solutions. Doumic and Escobedo ($2016$) observed that when growth is a linear function ... More
Influence of the Ion Coordination Number on Cation Exchange Reactions with Copper Telluride NanocrystalsSep 15 2016Cu2-xTe nanocubes were used as starting seeds to access metal telluride nanocrystals by cation exchanges at room temperature. The coordination number of the entering cations was found to play an important role in dictating the reaction pathways. The exchanges ... More
Safe Recursion on Notation into a Light Logic by LevelsMay 04 2010We embed Safe Recursion on Notation (SRN) into Light Affine Logic by Levels (LALL), derived from the logic L4. LALL is an intuitionistic deductive system, with a polynomial time cut elimination strategy. The embedding allows to represent every term t ... More
Quantum bright solitons in a quasi-one-dimensional optical latticeJan 31 2014Jun 04 2014We study a quasi-one-dimensional attractive Bose gas confined in an optical lattice with a superimposed harmonic potential by analyzing the effective one-dimensional Bose-Hubbard Hamiltonian of the system. In order to have a reliable description of the ... More
High order relaxed schemes for nonlinear reaction diffusion problems in nonconservative formApr 03 2008Different relaxation approximations to partial differential equations, including conservation laws, Hamilton-Jacobi equations, convection-diffusion problems, gas dynamics problems, have been recently proposed. The present paper focuses onto diffusive ... More
High order relaxed schemes for nonlinear reaction diffusion problemsDec 09 2006Different relaxation approximations to partial differential equations, including conservation laws, Hamilton-Jacobi equations, convection-diffusion problems, gas dynamics problems, have been recently proposed. The present paper focuses onto diffusive ... More
The KSBA compactification of the moduli space of $D_{1,6}$-polarized Enriques surfacesAug 08 2016We describe the moduli compactification by stable pairs of a $4$-dimensional family of Enriques surfaces, which arise as the $\mathbb{Z}_2^2$-cover of the blow up of $\mathbb{P}^2$ at three general points branched along a configuration of six lines. The ... More
VoID-graph: Visualize Linked Datasets on the WebAug 28 2014The Linked Open Data (LOD) cloud diagram is a picture that helps us grasp the contents and the links of globally available data sets. Such diagram has been a powerful dissemination method for the Linked Data movement, allowing people to glance at the ... More
Weak Affine Light Typing: Polytime intensional expressivity, soundness and completenessDec 27 2007Mar 31 2008Weak affine light typing (WALT) assigns light affine linear formulae as types to a subset of lambda-terms in System F. WALT is poly-time sound: if a lambda-term M has type in WALT, M can be evaluated with a polynomial cost in the dimension of the derivation ... More
Dynamical properties of the unitary Fermi gas: collective modes and shock wavesApr 07 2012We discuss the unitary Fermi gas made of dilute and ultracold atoms with an infinite s-wave inter-atomic scattering length. First we introduce an efficient Thomas-Fermi-von Weizsacker density functional which describes accurately various static properties ... More
Condensate Fraction of a Two-Dimensional Attractive Fermi GasJun 26 2007We investigate the Bose-Einstein condensation of fermionic pairs in a two-dimensional uniform two-component Fermi superfluid obtaining an explicit formula for the condensate density as a function of the chemical potential and the energy gap. By using ... More
Formation of multi-solitons and vortex bright solitons in Bose-condensed alkali-metal atomsSep 02 2003Formation of multi-solitons and vortex bright solitons in Bose-condensed alkali-metal atoms is analyzed by using the nonpolynomial Schordinger equation. A train of bright solitons is obtained from an axially homogeneous Bose-Einstein condensate by a sudden ... More
Pulsed Quantum Tunneling with Matter WavesJun 24 2001In this report we investigate the macroscopic quantum tunneling of a Bose condensate falling under gravity and scattering on a Gaussian barrier that could model a mirror of far-detuned sheet of light. We analyze the effect of the inter-atomic interaction ... More
Resonances and Chaos in the Collective Oscillations of a Trapped Bose CondensateJan 08 2000We investigate the collective oscillations of a Bose condensate in an anisotropic harmonic trap. We analytically calculate the values of the trap deformation for which the normal modes are in resonance. In presence of low-order resonances, the amplitude ... More
BEC in Nonextensive Statistical MechanicsNov 27 1999Dec 28 1999We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the standard BEC formulas due to a weak nonextensivity of the system. In particular, ... More
Time-Dependent Variational Approach to Bose-Einstein CondensationAug 10 1999We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pitaevskii action of the condensate. The mechanics of the BEC in a harmonic ... More
Fermionic condensation in ultracold atoms, nuclear matter and neutron starsAug 05 2013We investigate the Bose-Einstein condensation of fermionic pairs in three different superfluid systems: ultracold and dilute atomic gases, bulk neutron matter, and neutron stars. In the case of dilute gases made of fermionic atoms the average distance ... More
Condensate Fraction in Neutron MatterDec 17 2011We study the Bose-Einstein condensation of fermionic pairs in the uniform neutron matter by using the concept of the off-diagonal long-range order of the two-body density matrix of the system. We derive explicit formulas for the condensate density $\rho_c$ ... More
Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equationApr 08 2008Nov 11 2008We discuss the zero-temperature hydrodynamics equations of bosonic and fermionic superfluids and their connection with generalized Gross-Pitaevskii and Ginzburg-Landau equations through a single superfluid nonlinear Schrodinger equation.
Parametric Resonance Phenomena in Bose-Einstein Condensates: Breaking of Macroscopic Quantum Self-TrappingAug 12 2002We analyze the periodic tunneling of a Bose-Einstein condensate in a double-well potential which has an oscillating energy barrier. We show that the dynamics of the Bose condensate critically depends on the frequency $\omega$ of the oscillating energy ... More
Instability and Chaos in Spatially Homogeneous Field TheoriesFeb 02 1999Spatially homogeneous field theories are studied in the framework of dynamical system theory. In particular we consider a model of inflationary cosmology and a Yang-Mills-Higgs system. We discuss also the role of quantum chaos and its application to field ... More
Reply to a Comment on "the Role of Dimensionality in the Stability of a Confined Condensed Bose Gas"Jan 02 1998As pointed out by the authors of the comment quant-ph/9712046, in our paper quant-ph/9712030 we studied in detail the metastability of a Bose-Einstein Condensate (BEC) confined in an harmonic trap with zero-range interaction. As well known, the BEC with ... More
The Role of dimensionality in the stability of a confined Bose gasDec 13 1997We study analytically the ground-state stability of a Bose-Einstein condensate (BEC) confined in an harmonic trap with repulsive or attractive zero-range interaction by minimizing the energy functional of the system. In the case of repulsive interaction ... More
Instabilities, Point Attractors and Limit Cycles in a Inflationary UniverseDec 01 1995We study the stability of a scalar inflaton field and analyze its point attractors in the phase space. We show that the value of the inflaton field in the vacuum is a bifurcation parameter and prove the possible existence of a limit cycle by using analytical ... More
Axion-Electromagnetic WavesDec 28 2013We extend the duality symmetry between the electric and the magnetic fields to the case in which an additional axion-like term is present, and we derive the set of Maxwell's equations that preserves this symmetry. This new set of equations allows for ... More
Axions in Cold Dark Matter and Inflation ModelsNov 22 2011The subjects of this thesis are the invisible axion and the more general family of axion-like particles. The invisible axion is a hypothetical elementary particle and a cold dark matter candidate. I present an improved computation of the constraints on ... More
Cosmological perturbations for an inflaton field coupled to radiationOct 05 2014Jan 07 2015Within the framework of the interacting fluid formalism, we provide the numerical solution to the Boltzmann equation describing the evolution of an inflaton field coupled to radiation. We study the behavior of the system during the slow-roll regime, in ... More
Dual Axion ElectrodynamicsNov 06 2011The duality relation between the electric and magnetic fields, in the presence of an additional axion-like field, is considered. We derive the new equations that describe the electrodynamics in this model, and we discuss the implications for the conservation ... More
On the energy crisis in noncommutative CP(1) modelJan 27 2010Mar 25 2011We study the CP(1) system in (2+1)-dimensional noncommutative space with and without Chern-Simons term. Using the Seiberg-Witten map we convert the noncommutative CP(1) system to an action written in terms of the commutative fields. We find that this ... More
A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spacesFeb 19 2009We consider a sequence of positive smooth critical points of the Adams-Moser-Trudinger embedding of $H^m_0$ into Orlicz spaces. We study its concentration-compactness behavior and show that if the sequence is not precompact, then the liminf of the $H^m_0$-norms ... More
Space-Based Cosmic-Ray and Gamma-Ray Detectors: a ReviewJul 29 2014Aug 04 2014Prepared for the 2014 ISAPP summer school, this review is focused on space-borne and balloon-borne cosmic-ray and gamma-ray detectors. It is meant to introduce the fundamental concepts necessary to understand the instrument performance metrics, how they ... More
A T' Flavour Model for Fermions and its PhenomenologyAug 23 2011We present a supersymmetric flavour model based on the T' discrete group, which explains fermion masses and mixings. The flavour symmetry, acting in the supersymmetric sector, provides well defined sfermion mass matrices and the resulting supersymmetric ... More
Topological duality twist and brane instantons in F-theoryMar 11 2014A variant of the topological twist, involving SL(2,Z) dualities and hence named topological duality twist, is introduced and explicitly applied to describe a U(1) N=4 super Yang-Mills theory on a Kaehler space with holomorphically space-dependent coupling. ... More
Electrified branesOct 04 2011A geometrical form of the supersymmetry conditions for D-branes on arbitrary type II supersymmetric backgrounds is derived, as well as the associated BPS bounds. The treatment is general and allows to consider, for instance, non-static configurations ... More
Comment on "Failure of the work-Hamiltonian connection for free-energy calculations" by Jose M. G. Vilar and J. Miguel RubiAug 21 2008Aug 21 2008I point out that the arguments raised by Vilar and Rubi against the work-Hamiltonian connection in free-energy calculations imply, if correct, the failure of the statistical mechanical expression of the thermodynamical free-energy via the logarithm of ... More
Comment on: Inconsistency of the nonstandard definition of workOct 08 2007Oct 08 2007The objections raised by Vilar and Rubi [cond-mat arXiv:0707.3802v1] against the definition of the thermodynamical work appearing in Jarzynski's equality are shown to be misleading and inconsistent.
Causal propagation for ELKO fieldsNov 13 2009Jun 15 2011We shall consider the general problem of causal propagation for spinor fields, focus attention in particular on the case constituted by ELKO fields and will show that the problem of causal propagation for ELKO fields is always solvable.
Geometrical Properties and Propagation for the Proca Field TheoryAug 28 2009We consider the Proca field with dynamical term given by the exterior derivative with respect to the most general connection; the most general Proca field equations are given, and a discussion about the propagation and the geometrical properties are presented: ... More
Torsion-Gravity for Dirac fields and their effective phenomenologyJan 14 2014Sep 01 2014We will consider the torsional completion of gravity for a background filled with Dirac matter fields, studying the weak-gravitational non-relativistic approximation, in view of an assessment about their effective phenomenology: we discuss how the torsionally-induced ... More
From the Torsion Tensor for Spinors to the Weak Forces for LeptonsNov 10 2010Jul 04 2011We consider a geometric approach to field theory in which torsion is present beside gravity and also electrodynamics for the matter field equations, and we develop the consequences of the torsion-spin coupling for the spinor fields; we show that these ... More
Hadronic Electroweak Spin-Torsion InteractionsSep 22 2010Oct 04 2012In a previous paper we considered the most general field equations for a system of two fermions of which one single-handed, showing that the spin-torsion interactions among these spinors had the same structure of the electroweak forces among leptons; ... More
Chiral Rings, Anomalies and Electric-Magnetic DualityAug 31 2004Nov 17 2004We study electric-magnetic duality in the chiral ring of a supersymmetric U(N_c) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for the adjoint and the mesons. We find the magnetic solution corresponding ... More
Type Reconstruction for the Linear π-Calculus with Composite Regular TypesOct 06 2015Dec 20 2015We extend the linear {\pi}-calculus with composite regular types in such a way that data containing linear values can be shared among several processes, if there is no overlapping access to such values. We describe a type reconstruction algorithm for ... More
A generally-relativistic gauge classification of the Dirac fieldsMar 08 2016Apr 19 2016We consider generally-relativistic gauge transformations for the spinorial fields finding two mutually exclusive but together exhaustive classes in which fermions are placed adding supplementary information to the results obtained by Lounesto, and identifying ... More
Space-Like Particle Production: an Interpretation Based on the Majorana EquationOct 27 2016This study reconsiders the decay of an ordinary particle in bradyons, tachyons and luxons in the field of the relativistic quantum mechanics. Lemke already investigated this from the perspective of covariant kinematics. Since the decay involves both spacelike ... More
Overcoming the Bradyon-Tachyon BarrierOct 04 2016In this study, the problem of overcoming the infinite energy barrier separating the bradyonic and tachyonic realms is investigated. Making use of the Majorana equation for particles with arbitrary spin and the Heisenberg uncertainty principle, it is proved ... More
Torsion Gravity for Dirac FieldsJul 04 2016In this article we will take into account the most complete back-ground with torsion and curvature, providing the most exhaustive coupling for the Dirac field: we will discuss the integrability of the interaction of the matter field and the reduction ... More
Graphical tools for model-based mixture discriminant analysisAug 07 2015The paper introduces a methodology for visualizing on a dimension reduced subspace the classification structure and the geometric characteristics induced by an estimated Gaussian mixture model for discriminant analysis. In particular, we consider the ... More
A New Derivation of the Time-Dependent Schrödinger Equation from Wave and Matrix MechanicsJun 10 2015An alternative method is proposed for deriving the time dependent Schroedinger equation from the pictures of wave and matrix mechanics. The derivation is of a mixed classical quantum character, since time is treated as a classical variable, thus avoiding ... More
Some Applications of Coding Theory in Computational ComplexitySep 24 2004Error-correcting codes and related combinatorial constructs play an important role in several recent (and old) results in computational complexity theory. In this paper we survey results on locally-testable and locally-decodable error-correcting codes, ... More
Pseudorandomness and Combinatorial ConstructionsJan 23 2006In combinatorics, the probabilistic method is a very powerful tool to prove the existence of combinatorial objects with interesting and useful properties. Explicit constructions of objects with such properties are often very difficult, or unknown. In ... More
On the degree distribution of horizontal visibility graphs associated to Markov processes and dynamical systems: diagrammatic and variational approachesFeb 21 2014Dynamical processes can be transformed into graphs through a family of mappings called visibility algorithms, enabling the possibility of (i) making empirical data analysis and signal processing and (ii) characterising classes of dynamical systems and ... More
Variedades de álgebras topologicasNov 02 2013Topological algebras have properties that extend naturally to those of topological groups [8, 9], but is it the case that semi-direct products exist as in the category of groups? Firstly, we express concepts in categorical language that capture group ... More
Bilaplacians problems with a sign-changing coefficientSep 11 2013We investigate the properties of the operator \Delta(\sigma\Delta.):H^2_0(\Omega)-> H^{-2}(\Omega), where \sigma is a given parameter whose sign can change on the bounded domain \Omega. Here, H^2_0(\Omega) denotes the subspace of H^2(\Omega) made of the ... More
Digital-analog quantum simulation of generalized Dicke models with superconducting circuitsAug 29 2016We propose a digital-analog quantum simulation of generalized Dicke models with superconducting circuits, including Fermi-Bose condensates, biased and pulsed Dicke models, for all regimes of light-matter coupling. We encode these classes of problems in ... More
Conductivity of a strange metal: from holography to memory functionsJan 22 2015Mar 15 2015We study the electrical response of a wide class of strange metal phases without quasiparticles at finite temperature and charge density, with explicitly broken translational symmetry, using holography. The low frequency electrical conductivity exhibits ... More
Extended Extremes of Information CombiningJan 29 2012Jan 31 2012Extremes of information combining inequalities play an important role in the analysis of sparse-graph codes under message-passing decoding. We introduce new tools for the derivation of such inequalities, and show by means of a concrete examples how they ... More
Some examples toward a Manin-Mumford conjecture for T-modulesJan 22 2015The aim of this work is to present a possible adaptation of the Manin-Mumford conjecture to the $T-$modules, a mathematical object which has been introduced in the 1980's by G. Anderson as the natural analogue of the abelian varieties in the context of ... More
On the $\mathcal{NP}$-hardness of GRacSim Drawing and k-SEFE ProblemsNov 13 2016We study the complexity of two problems in simultaneous graph drawing. The first problem, GRacSim Drawing, asks for finding a simultaneous geometric embedding of two graphs such that only crossings at right angles are allowed. The second problem, k-SEFE, ... More
Dark energy and the Boomerang dataJun 21 2000Oct 11 2000The recent high-quality Boomerang data allow to test many competing cosmological models. Here I present a seven-parameter likelihood analysis of dark energy models with exponential potential and explicit coupling to dark matter. Such a model is conformally ... More
Perturbations in a coupled scalar field cosmologyJun 04 1999Jun 10 1999I analyze the density perturbations in a cosmological model with a scalar field coupled to ordinary matter, such as one obtains in string theory and in conformally transformed scalar-tensor theories. The spectrum of multipoles on the last scattering surface ... More
Non-Gaussian statistics of pencil beam surveysFeb 24 1994Feb 25 1994We study the effect of the non-Gaussian clustering of galaxies on the statistics of pencil beam surveys. We find that the higher order moments of the galaxy distribution play an important role in the probability distribution for the power spectrum peaks. ... More
Non-Gaussian Likelihood FunctionApr 09 1995We generalize the maximum likelihood method to non-Gaussian distribution functions by means of the multivariate Edgeworth expansion. We stress the potential interest of this technique in all those cosmological problems in which the determination of a ... More
Greedy algorithms and poset matroidsJun 17 2013We generalize the matroid-theoretic approach to greedy algorithms to the setting of poset matroids, in the sense of Barnabei, Nicoletti and Pezzoli (1998) [BNP]. We illustrate our result by providing a generalization of Kruskal algorithm (which finds ... More
Almgren's type regularity for Semicalibrated CurrentsNov 24 2015Feb 09 2016In analogy with Almgren's Theorem for area minimizing currents of general dimension and codimension, we prove that an $m$-dimensional semicalibrated current in a $(n+m)$-dimensional $C^{3,\varepsilon_0}$ manifold, semicalibrated by a $C^{2,\varepsilon_0}$ ... More
The DIRECT ProjectOct 01 2003The DIRECT project aims to determine direct distances to two important galaxies in the cosmological distance ladder -- M31 and M33 -- using detached eclipsing binaries (DEBs) and Cepheids. I present an overview of the project and some results from follow-up ... More
The next challenge for neutrinos: the mass orderingOct 18 2016Neutrino physics is nowadays receiving more and more attention as a possible source of information for the long--standing investigation of new physics beyond the Standard Model. This is also supported by the recent change of perspectives in neutrino researches ... More
Combination of measurements and the BLUE methodOct 03 2016Dec 05 2016The most accurate method to combine measurement from different experiments is to build a combined likelihood function and use it to perform the desired inference. This is not always possible for various reasons, hence approximate methods are often convenient. ... More
The Bott-Samelson theorem for positive Legendrian isotopiesOct 07 2016The classical Bott-Samelson theorem states that if on a Riemannian manifold all geodesics issuing from a certain point return to this point, then the universal cover of the manifold has the cohomology ring of a compact rank one symmetric space. This result ... More
A general existence result for stationary solutions to the Keller-Segel systemFeb 07 2018We consider a Liouville-type PDE on a smooth bounded planar domain, which is related to stationary solutions of the Keller-Segel's model for chemotaxis. We prove existence of solutions under some algebraic conditions on the parameters. In particular, ... More
On non-commutativity in quantum theory (III): determinantal point processes and non-relativistic quantum mechanicsMar 13 2018Mar 16 2018This article concludes our critical analysis on the role of non-commutativity in quantum theory. After a brief introduction of the necessary notions on point processes, we re-analyse model B proposed in "On non-commutativity in quantum theory (II): toy ... More
On non-commutativity in quantum theory (I): from classical to quantum probabilityMar 13 2018Mar 16 2018A central feature of quantum mechanics is the non-commutativity of operators used to describe physical observables. In this article, we present a critical analysis on the role of non-commutativity in quantum theory, focusing on its consequences in the ... More
Polar solutions with tensorial connection of the spinor equationFeb 28 2019Dirac field equations are studied for spinor fields without any external interaction and when they are considered on a background having a tensorial connection with a specific non-vanishing structure some solution can be found in polar form displaying ... More
Least-Order Torsion-Gravity for Dirac Fields, and their Non-Linearity termsMay 20 2014Dec 25 2014We will consider the most general least-order torsional completion of gravity with electrodynamics for the Dirac matter fields, and we study the effects that the torsion-spin coupling will have in inducing self-interactions among the fermion fields themselves; ... More
Dimension of bad sets for non-uniform Fuchsian latticesDec 31 2018The set of real numbers which are badly approximable by rationals admits a filtration by sets Bad($\epsilon$), whose dimension converges to 1 as $\epsilon$ goes to zero. D. Hensley computed the asymptotic for the dimension up to the first order in $\epsilon$, ... More
Properties of the W bosonDec 12 1997The properties of the W boson are reviewed. Particular emphasis is placed on recent measurements from the LEP2 and Tevatron experiments.
Unified Description and Canonical Reduction to Dirac's Observables of the Four InteractionsMay 21 1997Talk at the International Workshop ``New Non Perturbative Methods and Quantization on the Light Cone", Les Houches February 24 - March 7, 1997.
Solving Gauss' Laws and Searching Dirac Observables for the Four InteractionsFeb 14 1997A review is given of the status of the program of classical reduction to Dirac's observables of the four interactions (standard SU(3)xSU(2)xU(1) particle model and tetrad gravity) with the matter described either by Grassmann-valued fermion fields or ... More
Light axion-like dark matter must be present during inflationMar 26 2017Nov 01 2018Axion-like particles (ALPs) might constitute the totality of the cold dark matter (CDM) observed. The parameter space of ALPs depends on the mass of the particle $m$ and on the energy scale of inflation $H_I$ , the latter being bound by the non-detection ... More
Synthesis of models for order-sorted first-order theories using linear algebra and constraint solvingDec 22 2015Recent developments in termination analysis for declarative programs emphasize the use of appropriate models for the logical theory representing the program at stake as a generic approach to prove termination of declarative programs. In this setting, ... More
Systems of Systems Modeled by a Hierarchical Part-Whole State-Based FormalismNov 14 2013The paper presents an explicit state-based modeling approach aimed at modeling Systems of Systems behavior. The approach allows to specify and verify incrementally safety and liveness rules without using model checking techniques. The state-based approach ... More
A fourth explanation to Brooks' Law - The aspect of group developmental psychologyApr 04 2019Brooks' Law is often referred to in practice and states that adding manpower to a late software project makes it even later. Brooks' himself gave three explanation only related to concrete task-related issues, like introducing new members to the work ... More
On the Bonnafé--Dat--Rouquier Morita equivalenceDec 18 2018We prove that the cohomology group of a Deligne-Lusztig variety defines a Morita equivalence in a case which is not covered by the argument by Bonnaf\'e, Dat and Rouquier, specifically we consider the situation for semisimple elements in type $D$ whose ... More
Hard combinatorial problems and minor embeddings on lattice graphsDec 05 2018Today, hardware constraints are an important limitation on quantum adiabatic optimization algorithms. Firstly, computational problems must be formulated as quadratic unconstrained binary optimization (QUBO) in the presence of noisy coupling constants. ... More
Spin-1/2 Landau levels in the symmetric gauge from the zero energy modesMay 27 2017Apr 13 2018Starting from the zero modes of the Dirac-Weyl equation for Landau levels in the symmetric gauge, we propose a novel mechanism to construct the eigenvalues and its eigenfunctions. We show that the problem may be addressed without numerical calculation ... More
Constraints on hydrodynamics from many-body quantum chaosOct 03 2017Oct 25 2017Is the hydrodynamics of an interacting many-body system fundamentally limited by basic principles of quantum mechanics? Starting with the conjecture that viscosity is at least as large as entropy density (as measured in fundamental units), there has been ... More
Basic protocols in quantum reinforcement learning with superconducting circuitsJan 18 2017May 09 2017Superconducting circuit technologies have recently achieved quantum protocols involving closed feedback loops. Quantum artificial intelligence and quantum machine learning are emerging fields inside quantum technologies which may enable quantum devices ... More
On the periodic approximation of Lyapunov exponents for semi-invertible cocyclesDec 13 2016Aug 17 2017We prove that, for semi-invertible linear cocycles, Lyapunov exponents of ergodic measures may be approximated by Lyapunov exponents on periodic points.
Time's arrow and life's originJan 03 2018Dec 18 2018The thermodynamic arrow-of-time problem is thought to be resolved by the observation that our universe initially was---and still is---far from equilibrium. The psychological arrow-of-time problem is often attributed the same resolution, but the connection ... More
Invariant theory of a special group action on irreducible polynomials over finite fieldsAug 23 2017Mar 22 2018In the past few years, an action of $\mathrm{PGL}_2(\mathbb F_q)$ on the set of irreducible polynomials in $\mathbb F_q[x]$ has been introduced and many questions have been discussed, such as the characterization and number of invariant elements. In this ... More
Limit profile for random transpositionsMay 21 2019We present an improved version of Diaconis' upper bound lemma, which is used to compute the limiting value of the distance to stationarity. We then apply it to random transpositions studied by Diaconis and Shahshahani.
Hook-length formula and applications to alternating permutationsApr 17 2019In this paper, we take interest in finding applications for a hook-length formula recently proved in (Morales Pak Panova 2016). This formula can be applied to give a non trivial relation between alternating permutations and weighted Dyck paths. First, ... More
Social Influence in Agile Requirements EngineeringApr 05 2019Agile requirements engineering implies more complex communication patterns since even the developers are supposed to have direct contact with customers. With more face-to-face communication comes social-psychological factors influencing the requirements. ... More
Lepton Flavour violation in muon decaysJun 25 2019The search for lepton flavour violation in charged lepton decays is highly sensitive to physics beyond the Standard Model. Among the possible processes, $\mu$-decays are considered to have the largest discovery potential in most of the standard model ... More
On the structure of simple bounded weight modules of $\mathfrak{sl}(\infty)$, $\mathfrak{o}(\infty)$, $\mathfrak{sp}(\infty)$Jul 10 2018We study the structure of bounded simple weight $\mathfrak{sl}(\infty)$-, $\mathfrak{o}(\infty)$-, $\mathfrak{sp}(\infty)$-modules, which have been recently classified in [GP18]. Given a splitting parabolic subalgebra $\mathfrak{p}$ of $\mathfrak{sl}(\infty)$, ... More
On the integration of LA-groupoids and duality for Poisson groupoidsJan 08 2007Feb 12 2009In this note a functorial approach to the integration problem of an LA-groupoid to a double Lie groupoid is discussed. To do that, we study the notions of fibred products in the categories of Lie groupoids and Lie algebroids, giving necessary and sufficient ... More
A Friedrichs-Maz'ya inequality for functions of bounded variationFeb 13 2017The aim of this short note is to give an alternative proof, which applies to functions of bounded variation in arbitrary domains, of an inequality by Maz'ya that improves Friedrichs inequality. A remarkable feature of such a proof is that it is rather ... More
The range of the tangential Cauchy-Riemann system on a CR embedded manifoldMay 17 2011We prove that every compact, pseudoconvex, orientable, CR manifold of $\C^n$, bounds a complex manifold in the $C^\infty$ sense. In particular, the tangential Cauchy-Riemann system has closed range.