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Distribution free goodness-of-fit tests for linear processesMar 02 2006This article proposes a class of goodness-of-fit tests for the autocorrelation function of a time series process, including those exhibiting long-range dependence. Test statistics for composite hypotheses are functionals of a (approximated) martingale ... More

Strongly Interacting Spinless Fermions in D=1 and 2 Dimensions: A Perturbative-Variational ApproachMar 15 1995We propose a perturbative-variational approach to interacting fermion systems on 1D and 2D lattices at half-filling. We address relevant issues such as the existence of Long Range Order, quantum phase transitions and the evaluation of ground state energy. ... More

Distribution Regression in Duration Analysis: an Application to Unemployment SpellsApr 12 2019This article proposes estimation and inference procedures for distribution regression models with randomly right-censored data. The proposal generalizes classical duration models to a situation where slope coefficients can vary with the elapsed duration, ... More

Sobolev orthogonal polynomials on the unit ball via outward normal derivativesDec 03 2015We analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which involves the outward normal derivatives on the sphere. Using their representation in terms of spherical harmonics, algebraic and analytic properties ... More

The effects of thermal and correlated noise on magnons in a quantum ferromagnetFeb 28 2018Nov 05 2018The dynamics and thermal equilibrium of spin waves (magnons) in a quantum ferromagnet as well as the macroscopic magnetisation are investigated. Thermal noise due to an interaction with lattice phonons and the effects of spatial correlations in the noise ... More

Multivariate Orthogonal Polynomials and Modified Moment FunctionalsJan 26 2016Sep 10 2016Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel modifications obtained by adding to ... More

A hierarchy of multilayered plate modelsMay 27 2019We derive a hierarchy of plate theories for heterogeneous multilayers from three dimensional nonlinear elasticity by means of $\Gamma$-convergence. We allow for layers composed of different materials whose constitutive assumptions may vary significantly ... More

Some remarks on the coincidence set for the Signorini problemDec 10 2018We study some properties of the coincidence set for the boundary Signorini problem, improving some results from previous works by the second author and collaborators. Among other new results, we show here that the convexity assumption on the domain made ... More

A note on CFT dual of RS model with gauge fields in bulkSep 25 2002Dec 16 2002It has been conjectured that the (weakly coupled) Randall-Sundrum (RS) model with gauge fields in the bulk is dual to a (strongly coupled) 4D conformal field theory (CFT) with an UV cut-off and in which global symmetries of the CFT are gauged. We elucidate ... More

Strong coupling unification and extra dimensionsMar 18 1999Apr 20 1999We analyze the implications of electroweak and strong coupling unification in a very general class of models extending the minimal supersymmetric standard model in $4+p$ dimensions $(p\geq 0)$. In general, electroweak precision data require the presence ... More

Topological Phases in Nodeless Tetragonal SuperconductorsMar 30 2018Jan 23 2019We compute the topological phase diagram of 2D tetragonal superconductors for the only possible nodeless pairing channels compatible with that crystal symmetry. Subject to a Zeeman field and spin-orbit coupling, we demonstrate that these superconductors ... More

Quantum Error Correction with the Semion CodeOct 18 2018May 27 2019We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double semion model. We construct open strings operators that recover the quantum memory from arbitrary errors and closed string operators that implement ... More

Quantum-inspired algorithms in practiceMay 24 2019We study the practical performance of quantum-inspired algorithms for recommendation systems and linear systems of equations. These algorithms were shown to have an exponential asymptotic speedup compared to previously known classical methods for problems ... More

Chiral Topological Superconductors Enhanced by Long-Range InteractionsJul 07 2017Jan 11 2018We study the phase diagram and edge states of a two-dimensional p-wave superconductor with long-range hopping and pairing amplitudes. New topological phases and quasiparticles different from the usual short-range model are obtained. When both hopping ... More

Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with $d$-wave superconductorsSep 19 2017Feb 15 2018We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular dependence of ... More

Quantum-inspired algorithms in practiceMay 24 2019May 28 2019We study the practical performance of quantum-inspired algorithms for recommendation systems and linear systems of equations. These algorithms were shown to have an exponential asymptotic speedup compared to previously known classical methods for problems ... More

A numerical algorithm for singular optimal LQ control systemsMar 09 2012A numerical algorithm to obtain the consistent conditions satisfied by singular arcs for singular linear-quadratic optimal control problems is presented. The algorithm is based on the presymplectic constraint algorithm (PCA) by Gotay-Nester \cite{Go78,Vo99} ... More

Small-spatial scale variations of nebular properties and the abundance discrepancy in three Galactic HII regionsMar 12 2010We present results of long-slit spectroscopy in several slit positions that cover different morphological structures of the central parts of three bright Galactic HII regions: M8, M17 and NGC7635. We study the spatial distributions of a large number of ... More

Accurate one-dimensional effective description of realistic matter-wave gap solitonsMay 27 2014Jun 17 2014We consider stationary matter-wave gap solitons realized in Bose--Einstein condensates loaded in one-dimensional (1D) optical lattices and investigate whether the effective 1D equation proposed in [Phys. Rev. A \textbf{77}, 013617 (2008)] can be a reliable ... More

Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensatesJul 17 2007Jan 28 2008By applying the standard adiabatic approximation and using the accurate analytical expression for the corresponding local chemical potential obtained in our previous work [Phys. Rev. A \textbf{75}, 063610 (2007)] we derive an effective 1D equation that ... More

Stable symmetry-protected 3D embedded solitons in Bose-Einstein condensatesJul 23 2018Embedded solitons are rare self-localized nonlinear structures that, counterintuitively, survive inside a continuous background of resonant states. While this topic has been widely studied in nonlinear optics, it has received almost no attention in the ... More

Effective one-dimensional dynamics of elongated Bose-Einstein condensatesJul 12 2008Apr 01 2009By using a variational approach in combination with the adiabatic approximation we derive a new effective 1D equation of motion for the axial dynamics of elongated condensates. For condensates with vorticity $|q|=0$ or 1, this equation coincides with ... More

Dynamical evolution of a doubly-quantized vortex imprinted in a Bose-Einstein CondensateJun 04 2006The recent experiment by Y. Shin \emph{et al.} [Phys. Rev. Lett. \textbf{93}, 160406 (2004)] on the decay of a doubly quantized vortex imprinted in $^{23}% $Na condensates is analyzed by numerically solving the Gross-Pitaevskii equation. Our results, ... More

Luminous red stars in Local Group dwarf elliptical galaxies: an intermediate-age population?Apr 02 1997Apr 02 1997In this paper, we show that the optically bright stars above the tip of the first red giant branch (TRGB) in the color magnitude (CM) diagrams of nearby dwarf elliptical (dE) galaxies, commonly interpreted as indication of the existence of an intermediate-age ... More

A Hamiltonian Algorithm for Singular Optimal LQ Control SystemsApr 11 2012A Hamiltonian algorithm, both theoretical and numerical, to obtain the reduced equations implementing Pontryagine's Maximum Principle for singular linear-quadratic optimal control problems is presented. This algorithm is inspired on the well-known Rabier-Rheinhboldt ... More

Wide Field Observations of the Ursa Minor dSph galaxyApr 28 1999Ursa Minor (UMi) is one of the closest satellites of the Milky Way (d=69 kpc). It is possibly a disrupted dSph interacting with the external Galactic halo. This makes its study quite necessary in the forementioned context. In this paper we present preliminary ... More

Ground-state properties of trapped Bose-Einstein condensates: Extension of the Thomas-Fermi approximationJan 31 2007Jun 12 2007We derive general approximate formulas that provide with remarkable accuracy the ground-state properties of any mean-field scalar Bose-Einstein condensate with short-range repulsive interatomic interactions, confined in arbitrary cylindrically symmetric ... More

Effective equations for matter-wave gap solitons in higher-order transversal statesJul 25 2013Mar 12 2014We demonstrate that an important class of nonlinear stationary solutions of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) exhibiting nontrivial transversal configurations can be found and characterized in terms of an effective one-dimensional ... More

Extension of the Thomas-Fermi approximation for trapped Bose-Einstein condensates with an arbitrary number of atomsJan 29 2007By incorporating the zero-point energy contribution we derive simple and accurate extensions of the usual Thomas-Fermi (TF) expressions for the ground-state properties of trapped Bose-Einstein condensates that remain valid for an arbitrary number of atoms ... More

Local Unitary Quantum Cellular AutomataAug 31 2007In this paper we present a quantization of Cellular Automata. Our formalism is based on a lattice of qudits, and an update rule consisting of local unitary operators that commute with their own lattice translations. One purpose of this model is to act ... More

Optimal extensions for $p$-th power factorable operatorsNov 07 2015Let $X(\mu)$ be a function space related to a measure space $(\Omega,\Sigma,\mu)$ with $\chi_\Omega\in X(\mu)$ and let $T\colon X(\mu)\to E$ be a Banach space valued operator. It is known that if $T$ is $p$-th power factorable then the largest function ... More

An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological InsulatorsMay 04 2011We present a proposal for a versatile cold-atom-based quantum simulator of relativistic fermionic theories and topological insulators in arbitrary dimensions. The setup consists of a spin-independent optical lattice that traps a collection of hyperfine ... More

Collider production of Electroweak resonances from photon-photon statesOct 20 2017Oct 22 2018We estimate production cross sections for 2-body resonances of the Electroweak Symmetry Breaking sector (in $W_LW_L$ and $Z_LZ_L$ rescattering) from $\gamma\gamma$ scattering. We employ unitarized Higgs Effective Field Theory amplitudes previously computed ... More

On the Bahadur slope of the Lilliefors and the Cramér--von Mises tests of normalityDec 22 2006We find the Bahadur slope of the Lilliefors and Cram\'{e}r--von Mises tests of normality.

Extended scheme for the projection of material tensors of arbitrary symmetry onto a higher symmetry tensorAug 06 2014I propose a straightforward generalization of the projection scheme for elastic tensors introduced by Moakher and Norris [J. Elasticity 85, 215 (2006)] that takes into account also rotations. The "closest" tensor of any desired symmetry to the original ... More

Koszul duality for monoids and the operad of enriched rooted treesDec 29 2008We introduce here the notion of Koszul duality for monoids in the monoidal category of species with respect to the ordinary product. To each Koszul monoid we associate a class of Koszul algebras in the sense of Priddy, by taking the corresponding analytic ... More

Time-diffracting beams: On their nature, diffraction-free propagation as needles of light, and nonlinear generationFeb 28 2018We investigate on the properties of the recently introduced time-diffracting (TD) beams in free space. They are shown to be paraxial and quasi-monochromatic realizations of localized waves, spatiotemporal localized waves travelling undistorted at arbitrary ... More

Please, no more scientific journals! The strategy of the scientific publication systemJun 07 2019In the same way ecosystems tend to increase maturity by decreasing the flow of energy per unit biomass, we should move towards a more mature science by publishing less but high-quality papers and getting away from joining large teams in small roles. That ... More

Yorioka's characterization of the cofinality of the strong measure zero ideal and its independency from the continuumApr 25 2019In this paper we present a simpler proof of the fact that no inequality between $\mathrm{cof}(\mathcal{SN})$ and $\mathfrak{c}$ can be decided in ZFC by using well-known tecniques and results.

Classifying the Large Scale Structure of the Universe with Deep Neural NetworksApr 03 2018We present the first application of deep neural networks to the semantic segmentation of cosmological filaments and walls in the Large Scale Structure of the Universe. Our results are based on a deep Convolutional Neural Network (CNN) with a U-Net architecture ... More

Effects of orbital angular momentum on few-cycle pulse shape: Coupling between the temporal and angular momentum degrees of freedomFeb 26 2019Feb 27 2019We describe the coupling between orbital angular momentum (OAM) and temporal degrees of freedom in pulsed Laguerre-Gauss beams. The effects of this coupling are to increase significantly the duration of few-cycle pulses when the OAM carried by the pulse ... More

Self-trapped pulsed beams with finite power in pure cubic Kerr media excited by time-diffracting, space-time beamsMay 21 2018Nov 02 2018We study the nonlinear propagation of diffraction-free, space-time wave packets, also called time-diffracting beams because their spatiotemporal structure reproduces diffraction in time. We report on the spontaneous formation of propagation-invariant, ... More

Velocity measurements in General Relativity revisitedJul 14 2011In this work we generalize an earlier treatment of the measurements of velocities at the event horizon of a black hole. This is intended as a pedagogical exercise as well as one more contribution to the resolution of some unphysical interpretations related ... More

Isotropic subspaces of Orlik-Solomon algebrasJul 15 2010We give a combinatorial characterization of isotropic subspaces in the Orlik- Solomon algebra of a hyperplane arrangement in terms of decorations of its intersection lattice. We then use this characterization to prove a result that relates these isotropic ... More

Focusing mKdV Breather Solutions with Nonvanishing Boundary Conditions by the Inverse Scattering MethodOct 18 2011Using the Inverse Scattering Method with a nonvanishing boundary condition, we obtain the square k^2 of a focusing modified Korteweg-de Vries (mKdV) breather solution with non zero vacuum parameter b^2 . We are able to factorize and simplify it in order ... More

Overcoming efficiency constraints on blind quantum computationNov 18 2014Blind quantum computation allows a user to delegate a computation to an untrusted server while keeping the computation hidden. A number of recent works have sought to establish bounds on the communication requirements necessary to implement blind computation, ... More

Exact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net CondensatesJul 27 2006Jul 29 2006We construct an exactly solvable Hamiltonian acting on a 3-dimensional lattice of spin-$\frac 1 2$ systems that exhibits topological quantum order. The ground state is a string-net and a membrane-net condensate. Excitations appear in the form of quasiparticles ... More

Topological Quantum Error Correction with Optimal Encoding RateFeb 06 2006May 22 2006We prove the existence of topological quantum error correcting codes with encoding rates $k/n$ asymptotically approaching the maximum possible value. Explicit constructions of these topological codes are presented using surfaces of arbitrary genus. We ... More

An Interferometry-Free Protocol for Demonstrating Topological OrderMay 01 2007Nov 06 2008We propose a protocol to demonstrate the topological order of a spin-1/2 lattice model with four-body interactions. Unlike other proposals, it does not rely on the controlled movement of quasiparticles, thus eliminating the addressing, decoherence and ... More

Topological Quantum DistillationMay 16 2006Mar 29 2007We construct a class of topological quantum codes to perform quantum entanglement distillation. These codes implement the whole Clifford group of unitary operations in a fully topological manner and without selective addressing of qubits. This allows ... More

A bilayer Double Semion Model with Symmetry-Enriched Topological OrderApr 29 2016Sep 14 2016We construct a new model of two-dimensional quantum spin systems that combines intrinsic topo- logical orders and a global symmetry called flavour symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an instance of symmetry-enriched ... More

A model for the wind-driven current in the wavy oceanic surface layer: apparent friction velocity reduction and roughness length enhancementMay 07 2018A simple analytical model is developed for the current induced by the wind and modified by surface wind-waves in the oceanic surface layer, based on a first-order turbulence closure and including the effect of a vortex force representing the Stokes drift ... More

Gaussian beams diffracting in timeSep 23 2017Dec 13 2017We show how to transform the mathematical expression of any monochromatic paraxial light beam into the expression of a pulsed beam whose diffraction is switched from the axial direction to its temporal structure. We exemplify this transformation with ... More

Towards the computational experimentMay 28 2019We give a brief account of the current limitations and possibilities in the field of computational simulation of materials. We then focus on the effect that the emergence of machine learning interatomic potentials is having on the field and how it will ... More

Spontaneous localization in self-focusing of ultrashort light pulsesDec 28 2018This is a summary directed to PhD students of the research work conducted on the problem of the production of "light bullets", or multidimensional wave packets that propagate without distortion in unbounded, homogeneous, nonlinear media, and on the actual ... More

Nonlinear stability of Gardner breathersMay 10 2017Sep 22 2017We show that breather solutions of the Gardner equation, a natural generalization of the KdV and mKdV equations, are $H^2(\mathbb{R})$ stable. Through a variational approach, we characterize Gardner breathers as minimizers of a new Lyapunov functional ... More

Quantum information transfer for qutritsFeb 22 2007We propose a scheme for the transfer of quantum information among distant qutrits. We apply this scheme to the distribution of entanglement among distant nodes and to the generation of multipartite antisymmetric states. We also discuss applications to ... More

Optimal domain of $q$-concave operators and vector measure representation of $q$-concave Banach latticesNov 07 2015Given a Banach space valued $q$-concave linear operator $T$ defined on a $\sigma$-order continuous quasi-Banach function space, we provide a description of the optimal domain of $T$ preserving $q$-concavity, that is, the largest $\sigma$-order continuous ... More

Single-Step Distillation Protocol with Generalized Beam SplittersMay 23 2003We develop a distillation protocol for multilevel qubits (qudits) using generalized beam splitters like in the proposal of Pan et al. for ordinary qubits. We find an acceleration with respect to the scheme of Bennet et al. when extended to qudits. It ... More

Strong extensions for $q$-summing operators acting in $p$-convex Banach function spaces for $1 \le p \le q$Jun 30 2015Let $1\le p\le q<\infty$ and let $X$ be a $p$-convex Banach function space over a $\sigma$-finite measure $\mu$. We combine the structure of the spaces $L^p(\mu)$ and $L^q(\xi)$ for constructing the new space $S_{X_p}^{\,q}(\xi)$, where $\xi$ is a probability ... More

Modified Theories of Gravity: Traversable WormholesJul 13 2011This MSc thesis is divided in to two parts. The first, covers the foundations of theories of gravitation, and, the second incorporates original work on the subject of the existence of traversable wormholes in $f(R)$ modified theories of gravity. A short ... More

Well-posedness and stability results for the Gardner equationOct 19 2011In this article we present local well-posedness results in the classical Sobolev space H^s(R) with s > 1/4 for the Cauchy problem of the Gardner equation, overcoming the problem of the loss of the scaling property of this equation. We also cover the energy ... More

Colloquium: Criticality and dynamical scaling in living systemsDec 12 2017May 15 2018A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and disorder, i.e. in the ... More

Nonlinear lossy light bullets in self-focusing media with nonlinear absorptionDec 23 2017We review the properties of nonlinear, multidimensional localized waves whose stationary propagation is sustained by a dynamic equilibrium between self-focusing and nonlinear losses. Their finite-energy versions preserve light bullet behavior well-beyond ... More

An upper limit to the orbital angular momentum of a vortex-carrying ultrashort pulseDec 28 2018The magnitude of the topological charge of the vortex of a ring-shaped pulse is found to be limited by the squared mean frequency of the pulse spectrum at the ring relative to its variance. This limitation implies a upper bound to the orbital angular ... More

Optimizing many-body atomic descriptors for enhanced computational performance of machine-learning-based interatomic potentialsMay 06 2019May 24 2019We explore different ways to simplify the evaluation of the smooth overlap of atomic positions (SOAP) many-body atomic descriptor [Phys. Rev. B 87, 184115 (2013)]. Our aim is to improve the computational efficiency of SOAP-based similarity kernel construction. ... More

Optical spectral pulse shaping by combining two oppositely chirped fiber Bragg gratingAug 23 2006Feb 28 2007In this letter we present a new technique for pulse shaping. The desired pulse is shaped by two apodized chirped fiber Bragg gratings which dispersions are adjusted to be cancelled. This technique exploits the well-known property of linearly-chirped gratings, ... More

Quantum superintegrability and exact solvability in N dimensionsOct 16 2001A family of maximally superintegrable systems containing the Coulomb atom as a special case is constructed in N-dimensional Euclidean space. Two different sets of N commuting second order operators are found, overlapping in the Hamiltonian alone. The ... More

Slopes of trigonal fibred surfaces and of higher dimensional fibrationsNov 20 2008We give lower bounds for the slope of higher dimensional fibrations over curves under conditions of GIT-semistability of the fibres, using a generalization of a method of Cornalba and Harris. With the same method we establish a sharp lower bound for the ... More

Optimality conditions in convex multiobjective SIPAug 10 2016The purpose of this paper is to characterize the weak efficient solutions, the efficient solutions, and the isolated efficient solutions of a given vector optimization problem with finitely many convex objective functions and infinitely many convex constraints. ... More

Almost sharp nonlinear scattering in one-dimensional Born-Infeld equations arising in nonlinear ElectrodynamicsJul 09 2017Aug 28 2017We study decay of small solutions of the Born-Infeld equation in 1+1 dimensions, a quasilinear scalar field equation modeling nonlinear electromagnetism, as well as branes in String theory and minimal surfaces in Minkowski space-times. From the work of ... More

Nonlinear unbalanced Bessel beams in the collapse of Gaussian beams arrested by nonlinear lossesMay 20 2008Collapse of a Gaussian beam in self-focusing Kerr media arrested by nonlinear losses may lead to the spontaneous formation of a quasi-stationary nonlinear unbalanced Bessel beam with finite energy, which can propagate without significant distortion over ... More

The asymptotic expansion for the factorial and Lagrange inversion formulaFeb 20 2010We obtain an explicit simple formula for the coefficients of the asymptotic expansion for the factorial of a natural number,in terms of derivatives of powers of an elementary function. The unique explicit expression for the coefficients that appears to ... More

Heat current through an artificial Kondo impurity beyond linear responseOct 03 2017We investigate the heat current of a strongly interacting quantum dot in the presence of a voltage bias in the Kondo regime. Using the slave- boson mean-field theory, we discuss the behavior of the energy flow and the Joule heating. We find that both ... More

Quantitative Spectroscopy of the Young Stellar Population in Star Forming GalaxiesOct 02 2018The determination of chemical composition is crucial for investigating the formation and evolution of star forming galaxies and provides a powerful tool to constrain the effects of galactic winds and accretion from the cosmic web. In this regard stellar ... More

Asymptotic behaviour of the Christoffel functions on the Unit Ball in the presence of a Mass on the SphereMay 25 2017We present a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes a mass uniformly distributed on the sphere. First, connection formulas relating these multivariate orthogonal polynomials and the classical ... More

Nonlinear stability of higher order mKdV breathersApr 05 2018Oct 05 2018We are interested in stability results for breather solutions of the 5th, 7th and 9th order mKdV equations. We show that these higher order mKdV breathers are stable in $H^2(\R)$, in the same way as \emph{classical} mKdV breathers. We also show that breather ... More

A Time-Segmented Consortium Blockchain for Robotic Event RegistrationApr 08 2019May 14 2019A blockchain, during its lifetime, records large amounts of data, that in a common usage its kept on its entirety. In a robotics environment, the old information is useful for human evaluation, or oracles interfacing with the blockchain but it is not ... More

Global solutions and stability properties of the 5th order Gardner equationJan 10 2019Jan 14 2019In this work, we deal with the initial value problem of the 5th-order Gardner equation in $\mathbb{R}$, presenting the local well-posedness result in $H^2(\mathbb{R})$. As a consequence of the local result, in addition to $H^2$-energy conservation law, ... More

Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential EquationsNov 22 2015Feb 23 2016The purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere. First, we will get connection formulas relating classical multivariate ... More

Absence of Perfect Conductance Quantization of Helical-edge Transport in Graphene under a Strong, Tilted Magnetic FieldAug 02 2015Oct 27 2015In a recent experiment, Young et al. [Nature {\bf 505}, 528 (2014)] observed a metal to insulator transition as well as transport through helical edge states in monolayer graphene under a strong, tilted magnetic field. Under such conditions, the bulk ... More

Tracing out the northern stream of the Sagittarius dwarf galaxy with color- magnitude diagram techniquesOct 31 2001Standard cosmology predicts that dwarfs were the first galaxies to be formed in the Universe and that many of them merge afterwards to form bigger galaxies such as the Milky Way. This process would have left behind traces such as tidal debris or tidal ... More

Three-dimensional gap solitons in Bose-Einstein condensates supported by one-dimensional optical latticesOct 25 2010Nov 16 2010We study fundamental and compound gap solitons (GSs) of matter waves in one-dimensional (1D) optical lattices (OLs) in a three-dimensional (3D) weak-radial-confinement regime, which corresponds to realistic experimental conditions in Bose-Einstein condensates ... More

Dirac Triplet Extension of the MSSMApr 14 2015In this paper we explore extensions of the Minimal Supersymmetric Standard Model involving two $SU(2)_L$ triplet chiral superfields that share a superpotential Dirac mass yet only one of which couples to the Higgs fields. This choice is motivated by recent ... More

Quantum teleportation via maximum-confidence quantum measurementsJul 09 2012We investigate the problem of teleporting unknown qudit states via pure quantum channels with nonmaximal Schmidt rank. This process is mapped to the problem of discriminating among nonorthogonal symmetric states which are linearly dependent and equally ... More

Quench dynamics and zero-energy modes: the case of the Creutz modelNov 06 2018Feb 11 2019In most lattice models, the closing of a band gap typically occurs at high-symmetry points in the Brillouin zone. Differently, in the Creutz model $-$ describing a system of spinless fermions hopping on a two-leg ladder pierced by a magnetic field $-$ ... More

Upper bounds on SUSY masses from the LHCAug 18 2011Jan 07 2012The LHC is already putting bounds on the Higgs mass. In this paper we use those bounds to put constrains on the MSSM parameter space coming from the fact that, in supersymmetry, the Higgs mass is a function of the masses of sparticles, and therefore an ... More

Gap solitons in elongated geometries: the one-dimensional Gross-Pitaevskii equation and beyondApr 05 2011May 24 2011We report results of a systematic analysis of matter-wave gap solitons (GSs) in three-dimensional self-repulsive Bose-Einstein condensates (BECs) loaded into a combination of a cigar-shaped trap and axial optical-lattice (OL) potential. Basic cases of ... More

Equivariant Poincaré series and topology of valuationsMay 14 2015The equivariant with respect to a finite group action Poincar\'e series of a collection of $r$ valuations was defined earlier as a power series in $r$ variables with the coefficients from a modification of the Burnside ring of the group. Here we show ... More

Multi-particle correlations and KNO scaling in the medium-induced jet evolutionSep 20 2016We study the gluon distribution produced via successive medium-induced branchings by an energetic jet propagating through a weakly-coupled quark-gluon plasma. We show that under suitable approximations the evolution of the jet can be described as a classical ... More

Nonlinear heat conduction in Coulomb-blockaded quantum dotsNov 19 2014We analyze the heat current flowing across interacting quantum dots within the Coulomb blockade regime. Power can be generated by either voltage or temperature biases. In the former case, we find nonlinear contributions to the Peltier effect that are ... More

Stochastic differential equations with boundary conditions driven by a Poisson noiseSep 18 2003We consider one-dimensional stochastic differential equations with a boundary condition, driven by a Poisson process. We study existence and uniqueness of solutions and the absolute continuity of the law of the solution. In the case when the coefficients ... More

Stability conditions and positivity of invariants of fibrationsDec 19 2012Jul 25 2013We study three methods that prove the positivity of a natural numerical invariant associated to $1-$parameter families of polarized varieties. All these methods involve different stability conditions. In dimension 2 we prove that there is a natural connection ... More

Canonical formulation of Poincare BFCG theory and its quantizationSep 12 2014Mar 29 2015We find the canonical formulation of the Poincare BFCG theory in terms of the spatial 2-connection and its canonically conjugate momenta. We show that the Poincare BFCG action is dynamically equivalent to the BF action for the Poincare group and we find ... More

On the stability of an adaptive learning dynamics in traffic gamesJul 03 2018This paper investigates the dynamic stability of an adaptive learning procedure in a traffic game. Using the Routh-Hurwitz criterion we study the stability of the rest points of the corresponding mean field dynamics. In the special case with two routes ... More

Poincaré sphere representation for spatially varying birefringenceDec 09 2017Dec 14 2017The Poincar\'e sphere is a graphical representation in a three-dimensional space for the polarization of light. Similarly, an optical element with spatially varying birefringence can be represented by a surface on a four-dimensional "Poincar\'e hypersphere". ... More

Dynamics of breathers in the Gardner hierarchy: universality of the variational characterizationJan 29 2019We present a new variational characterization of breather solutions of any equation of the \emph{focusing} Gardner hierarchy. This hierarchy is characterized by a nonnegative index $n$, and $2n+1$ represents the order of the corresponding PDE member. ... More

The dimer-RVB State of the Four-Leg Heisenberg Ladder: Interference among ResonancesApr 20 1999We study the ground state of the 4-leg spin ladder using a dimer-RVB ansatz and the Lanczos method. Besides the well known resonance mechanism between valence bond configurations we find novel interference effects among nearby resonances.

Violations of the Kerr and Reissner-Nordstrom bounds: horizon versus asymptotic quantitiesJun 25 2016A central feature of the most elementary rotating black hole (BH) solution in General Relativity is the Kerr bound, which, for vacuum Kerr BHs, can be expressed either in terms of the ADM or the horizon "charges". This bound, however, is not a fundamental ... More

Quantum phase-space description of light polarizationMay 18 2005We present a method to characterize the polarization state of a light field in the continuous-variable regime. Instead of using the abstract formalism of SU(2) quasidistributions, we model polarization in the classical spirit by superposing two harmonic ... More