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On dominating set polyhedra of circular interval graphsDec 19 2017Feb 20 2018Clique-node and closed neighborhood matrices of circular interval graphs are circular matrices. The stable set polytope and the dominating set polytope on these graphs are therefore closely related to the set packing polytope and the set covering polyhedron ... More

Circuits and circulant minorsFeb 08 2019Circulant contraction minors play a key role for characterizing ideal circular matrices in terms of minimally non ideal structures. In this article we prove necessary and sufficient conditions for a circular matrix $A$ to have circulant contraction minors ... More

Topological Laminations on SurfacesMay 29 2018We present and prove a topological characterization of geodesic laminations on hyperbolic surfaces of finite type.

Vortex-like finite-energy asymptotic profiles for isentropic compressible flowsApr 10 2008Bidimensional incompressible viscous flows with well-localised vorticity are well-known to develop vortex structures. The purpose of the present paper is to recover the asymptotic profiles describing these phenomena for homogeneous finite-energy flows ... More

Robot Economy: Ready or Not, Here It ComesDec 04 2018Jan 20 2019Automation is not a new phenomenon, and questions about its effects have long followed its advances. More than a half-century ago, US President Lyndon B. Johnson established a national commission to examine the impact of technology on the economy, declaring ... More

Unveiling the dominant gas heating mechanism in local LIRGs and ULIRGsDec 17 2008We show preliminary results from a sample of Luminous and Ultra-Luminous Infrared Galaxies (LIRGs and ULIRGs, respectively) in the local universe, obtained from observations using the Very Large Array (VLA), the Multi-Element Radio Link Interferometer ... More

About the review in Mathematical Reviews of my paper: The two-cardinal problem for languages of arbitrary cardinality The Journal of Symbolic Logic 75, Number 3, Sept., 2010, pp. 785-801Sep 28 2015In this note I make some comments on the review MR2723767 (2011m:03064) appeared in Mathematical Reviews

Gravitational collapse of charged scalar fieldsJul 29 2014In order to study the gravitational collapse of charged matter we analyze the simple model of an self-gravitating massless scalar field coupled to the electromagnetic field in spherical symmetry. The evolution equations for the Maxwell-Klein-Gordon sector ... More

Modulated wave trains in generalized Kuramoto-Sivashinksi equationsDec 08 2010This paper is concerned with the stability of periodic wave trains in a generalized Kuramoto-Sivashinski (gKS) equation. This equation is useful to describe the weak instability of low frequency perturbations for thin film flows down an inclined ramp. ... More

Whitham's equations for modulated roll-waves in shallow flowsNov 10 2010This paper is concerned with the detailed behaviour of roll-waves undergoing a low-frequency perturbation. We rst derive the so-called Whitham's averaged modulation equations and relate the well-posedness of this set of equations to the spectral stability ... More

On the geometry of pp-wave type spacetimesOct 01 2004Global geometric properties of product manifolds ${\cal M}= M \times \R^2$, endowed with a metric type $<\cdot, \cdot > = < \cdot, \cdot >_R + 2 dudv + H(x,u) du^2$ (where $<\cdot, \cdot >_R$ is a Riemannian metric on $M$ and $H:M \times \R \to \R$ a ... More

Spectral validation of the whitham equations for periodic waves of lattice dynamical systemsApr 20 2015In the present contribution we investigate some features of dynamical lattice systems near periodic traveling waves. First, following the formal averaging method of Whitham, we derive modulation systems expected to drive at main order the time evolution ... More

Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic fieldNov 23 2015This paper deals with the numerical resolution of the Vlasov-Poissonsystem with a strong external magnetic field by Particle-In-Cell(PIC) methods. In this regime, classical PIC methods are subject tostability constraints on the time and space steps related ... More

Geodesics in stationary spacetimes. Application to Kerr spacetimeJun 20 2001Jan 11 2002The Levi-Civita connection and geodesic equations for a stationary spacetime are studied in depth. General formulae which generalize those for warped products are obtained. These results are applicated to some regions of Kerr spacetime previously studied ... More

A Note on the WGC, Effective Field Theory and Clockwork within String TheorySep 07 2017It has been recently argued that Higgsing of theories with $U(1)^n$ gauge interactions consistent with the Weak Gravity Conjecture (WGC) may lead to effective field theories parametrically violating WGC constraints. The minimal examples typically involve ... More

Large-time asymptotic stability of Riemann shocks of scalar balance lawsOct 19 2018We prove the large-time asymptotic orbital stability of strictly entropic Riemann shock solutions of first order scalar hyperbolic balance laws, under piecewise regular perturbations provided that the source term is dissipative about endstates of the ... More

The causal boundary of wave-type spacetimesDec 04 2007Feb 29 2008A complete and systematic approach to compute the causal boundary of wave-type spacetimes is carried out. The case of a 1-dimensional boundary is specially analyzed and its critical appearance in pp-wave type spacetimes is emphasized. In particular, the ... More

Infinite Interval Exchange Transformations from ShiftsJun 22 2015Nov 04 2015We show that minimal shifts with zero topological entropy are topologically conjugate to interval exchange transformations, generally infinite. When these shifts have linear factor complexity (linear block growth), the conjugate interval exchanges are ... More

Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limitJun 19 2017Nov 07 2017The present contribution investigates the dynamics generated by the two-dimensional Vlasov-Poisson-Fokker-Planck equation for charged particles in a steady inhomogeneous background of opposite charges. We provide global in time estimates that are uniform ... More

Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equationsOct 17 2016We consider various sets of Vlasov-Fokker-Planck equations modeling the dynamics of charged particles in a plasma under the effect of a strong magnetic field. For each of them in a regime where the strength of the magnetic field is effectively stronger ... More

Localizing algebras and invariant subspacesAug 22 2013It is shown that the algebra \(L^\infty(\mu)\) of all bounded measurable functions with respect to a finite measure \(\mu\) is localizing on the Hilbert space \(L^2(\mu)\) if and only if the measure \(\mu\) has an atom. Next, it is shown that the algebra ... More

Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flowApr 09 2015A technical obstruction preventing the conclusion of nonlinear stability of large-Froude number roll waves of the St. Venant equations for inclined thin film flow is the "slope condition" of Johnson-Noble-Zumbrun, used to obtain pointwise symmetrizability ... More

Compact affine manifolds with precompact holonomy are geodesically completeNov 11 2015Dec 21 2015This note proves the geodesic completeness of any compact manifold endowed with a linear connection such that the closure of its holonomy group is compact.

Mono-parametric quantum charge pumping: interplay between spatial interference and photon-assisted tunnelingNov 09 2005We analyze quantum charge pumping in an open ring with a dot embedded in one of its arms. We show that cyclic driving of the dot levels by a \textit{single} parameter leads to a pumped current when a static magnetic flux is simultaneously applied to the ... More

Relevance Feedback in Conceptual Image Retrieval: A User EvaluationSep 28 2008The Visual Object Information Retrieval (VOIR) system described in this paper implements an image retrieval approach that combines two layers, the conceptual and the visual layer. It uses terms from a textual thesaurus to represent the conceptual information ... More

High-resolution radio observations of nuclear and circumnuclear starbursts in Luminous Infrared GalaxiesApr 27 2008High-resolution radio observations of nearby starburst galaxies have shown that the distribution of their radio emission consists of a compact (<150 pc), high surface brightness, central radio source immersed in a low surface brightness circumnuclear ... More

Dzyaloshinskii-Moriya interaction and magnetic ordering in 1D and 2D at nonzero $T$Mar 25 2014The inclusion of a Dzyaloshinskii-Moriya short range antisymmetric interaction induces spontaneous magnetization, at nonzero temperatures, in one and two dimensions. It is shown that quantum fluctuations are reduced by the Dzyaloshinskii-Moriya interaction, ... More

Conditionally Free Reduced Products of Hilbert SpacesFeb 07 2019We present a product of pairs of pointed Hilbert spaces that, in the context of Boz\.ejko, Leinert and Speicher's theory of conditionally free probability, plays the role of the reduced free product of pointed Hilbert spaces, and thus gives a unified ... More

The Classification Problem for 2-Forms in Four VariablesFeb 09 2018The notion of type of a differential 2-form in four variables is introduced and for 2-forms of type < 4, local normal models are given. If the type of a 2-form $\Omega$ is 4, then the equivalence under diffeomorphisms of $\Omega$ is reduced to the equivalence ... More

First-order invariants of differential 2-formsDec 18 2018Let $M$ be a smooth manifold of dimension $2n$, and let $O_{M}$ be the dense open subbundle in $\wedge^{2}T^{\ast}M$ of $2$-covectors of maximal rank. The algebra of $\operatorname*{Diff}M$-invariant smooth functions of first order on $O_{M}$ is proved ... More

On global solutions to some non-Markovian quantum kinetic models of Fokker-Planck typeNov 29 2018In this paper, global well-posedness of the non-Markovian Unruh-Zurek and Hu-Paz-Zhang master equations with nonlinear electrostatic coupling is demonstrated. They both consist of a Wigner-Poisson like equation subjected to a dissipative Fokker-Planck ... More

Fully nonlinear integro-differential equations with deforming kernelsSep 18 2018We develop a regularity theory for integro-differential equations with kernels deforming in space like sections of a convex solution of a Monge-Amp\`{e}re equation. We prove an ABP estimate and a Harnack inequality and derive H\"{o}lder and $C^{1,\alpha}$ ... More

Discrete conservation laws and the convergence of long time simulations of the mKdV equationSep 27 2011Pseudospectral collocation methods and finite difference methods have been used for approximating an important family of soliton like solutions of the mKdV equation. These solutions present a structural instability which make difficult to approximate ... More

Non-thermal quantum channels as a thermodynamical resourceJan 12 2015Jun 15 2015Quantum thermodynamics can be understood as a resource theory, whereby thermal states are free and the only allowed operations are unitary transformations commuting with the total Hamiltonian of the system. Previous literature on the subject has just ... More

Sharp estimates for the arithmetic NullstellensatzNov 14 1999We present sharp estimates for the degree and the height of the polynomials in the Nullstellensatz over $\Z$. The result improves previous work of Philippon, Berenstein-Yger and Krick-Pardo. We also present degree and height estimates of intrinsic type, ... More

Scalar field confinement as a model for accreting systemsMay 04 2007We investigate the possibility to localize scalar field configurations as a model for black hole accretion. We analyze and resolve difficulties encountered when localizing scalar fields in General Relativity. We illustrate this ability with a simple spherically ... More

On the K-theory of feedback actions on linear systemsJun 05 2013A categorical approach to linear control systems is introduced. Feedback actions on linear systems arises as a symmetric monoidal category. Stable feedback isomorphisms generalize enlargement of pairs of matrices. Subcategory of locally Brunovsky linear ... More

Surface roughness and thermal conductivity of semiconductor nanowires: going below the Casimir limitMar 18 2011By explicitly considering surface roughness at the atomic level, we quantitatively show that the thermal conductivity of Si nanowires can be lower than Casimir's classical limit. However, this violation only occurs for deep surface degradation. For shallow ... More

Weak value amplification: a view from quantum estimation theory that highlights what it is and what isn'tAug 08 2014Aug 12 2015Weak value amplification (WVA) is a concept that has been extensively used in a myriad of applications with the aim of rendering measurable tiny changes of a variable of interest. In spite of this, there is still an on-going debate about its true nature ... More

Astrophysical Origins of Ultrahigh Energy Cosmic RaysFeb 16 2004Jul 13 2004In the first part of this review we discuss the basic observational features at the end of the cosmic ray energy spectrum. We also present there the main characteristics of each of the experiments involved in the detection of these particles. We then ... More

Generalized minor inequalities for the set covering polyhedron related to circulant matricesJun 18 2014We study the set covering polyhedron related to circulant matrices. In particular, our goal is to characterize the first Chv\'atal closure of the usual fractional relaxation. We present a family of valid inequalities that generalizes the family of minor ... More

On Detection Issues in the SC-based Uplink of a MU-MIMO System with a Large Number of BS AntennasFeb 19 2015This paper deals with SC/FDE within a MU-MIMO system where a large number of BS antennas is adopted. In this context, either linear or reduced-complexity iterative DF detection techniques are considered. Regarding performance evaluation by simulation, ... More

Rapidly-evolving episodic outflow in IRAS 18113-2503: clues to the ejection mechanism of the fastest water fountainSep 20 2018Oct 19 2018Water fountains are evolved stars showing early stages of collimated mass loss during transition from the asymptotic giant branch, providing valuable insight into the formation of asymmetric planetary nebulae. We report the results of multi-epoch VLBI ... More

A multi-wavelength view of the central kiloparsec region in the Luminous Infrared Galaxy NGC1614Mar 27 2014The Luminous Infrared Galaxy NGC1614 hosts a prominent circumnuclear ring of star formation. However, the nature of the dominant emitting mechanism in its central ~100 pc is still under debate. We present sub-arcsecond angular resolution radio, mid-infrared, ... More

The entropic origin of disassortativity in complex networksFeb 17 2010Why are most empirical networks, with the prominent exception of social ones, generically degree-degree anticorrelated, i.e. disassortative? With a view to answering this long-standing question, we define a general class of degree-degree correlated networks ... More

EVN observations of the Ultra Luminous Infrared Galaxies IRAS 23365+3604 and IRAS 07251-0248Dec 03 2008We present high-sensitivity, high-resolution images of the Ultraluminous Infrared Galaxies (ULIRG; L$_{\mathrm{FIR}} > 10^{12}$ L$_\odot$) IRAS 23365+3604 and IRAS 07251-0248, taken with the EVN at 6 and 18 cm. The images show a large number of compact ... More

Topological complexity of motion planning in projective product spacesJun 01 2012We study Farber's topological complexity (TC) of Davis' projective product spaces (PPS's). We show that, in many non-trivial instances, the TC of PPS's coming from at least two sphere factors is (much) lower than the dimension of the manifold. This is ... More

Characterization of quantum correlations with local dimension constraints and its device-independent applicationsAug 15 2013Feb 02 2014The future progress of semi-device independent quantum information science depends crucially on our ability to bound the strength of the nonlocal correlations achievable with finite dimensional quantum resources. In this work, we characterize quantum ... More

Cosmological nonlinear structure formation in full general relativitySep 28 2014Nov 26 2014We perform numerical evolutions of cosmological scenarios using a standard general relativistic code in spherical symmetry. We concentrate on two different situations: initial matter distributions that are homogeneous and isotropic, and perturbations ... More

The status of the KSS bound and its possible violations (How perfect can a fluid be?)Apr 16 2008In this work we briefly review the Kovtun-Son-Starinet (KSS) computation of the ratio eta/s for quantum field theories with gravitational dual and the related conjecture that it is bound from below by 1/(4 pi). We discuss the validity of the bound and ... More

Network complexity and topological phase transitionsDec 18 2015A new type of collective excitations, due exclusively to the topology of a complex random network that can be characterized by a fractal dimension $D_F$, is investigated. We show analytically that these excitations generate phase transitions due to the ... More

EVN observations of the farthest and brightest ULIRGs in the local Universe: the case of IRAS 23365+3604Jan 24 2012We present high-resolution, high-sensitivity radio images of the ultra-luminous infrared galaxy (ULIRG) IRAS 23365+3604. We performed contemporaneous observations at 1.7 and 5.0 GHz, in three epochs separated by one year from each other, with the European ... More

Three epochs of EVN observations towards IRAS 23365+3604Dec 29 2010The European VLBI Network (EVN) provides us with the necessary sensitivity and angular resolution to study the nuclear and circumnuclear regions in Luminous and Ultraluminous Infrared Galaxies. The high Star Formation Rates (SFR) inferred for these galaxies ... More

The Carnegie Supernova Project: Absolute Calibration and the Hubble ConstantSep 17 2018Sep 19 2018We present an analysis of the final data release of the Carnegie Supernova Project I, focusing on the absolute calibration of the luminosity-decline-rate relation for Type Ia supernovae (SNeIa) using new intrinsic color relations with respect to the color-stretch ... More

Time resolution studies for scintillating plastics coupled to silicon photo-multipliersJan 15 2019We present results for time resolution studies performed on three different scintillating plastics and two silicon photo-multipliers. These studies are intended to determine whether scintillating plastic/silicon photo-multiplier systems can be employed ... More

Peptides as versatile scaffolds for quantum computingAug 30 2017Oct 03 2017In this work we showcase the potential of peptides as versatile scaffolds for quantum computing and molecular spintronics. In particular, we focus on lanthanide-binding tags, which were originally developed in the field of biotechnology for the study ... More

Testing the nonlinear stability of Kerr-Newman black holesOct 02 2014Dec 09 2014The nonlinear stability of Kerr-Newman black holes (KNBHs) is investigated by performing numerical simulations within the full Einstein-Maxwell theory. We take as initial data a KNBH with mass $M$, angular momentum to mass ratio $a$ and charge $Q$. Evolutions ... More

Klein tunneling in carbon nanostructures: a free particle dynamics in disguiseOct 04 2010Feb 21 2011The absence of backscattering in metallic nanotubes as well as perfect Klein tunneling in potential barriers in graphene are the prominent electronic characteristics of carbon nanostructures. We show that the phenomena can be explained by a peculiar supersymmetry ... More

Microscopic Model for Sequential Tunneling in Semiconductor Multiple Quantum WellsMar 13 1997We propose a selfconsistent microscopic model of vertical sequential tunneling through a multi-quantum well.The model includes a detailed description of the contacts,uses the Transfer Hamiltonian for expressions of the current and it treats the Coulomb ... More

STM driven transition from rippled to buckled graphene in a spin-membrane modelOct 17 2016We consider a simple spin-membrane model for rippling in graphene. The model exhibits transitions from a flat but rippled membrane to a buckled one. At high temperature the transition is second order but it is first order at low temperature for appropriate ... More

Periodic Geodesics and Geometry of Compact Lorentzian Manifolds with a Killing Vector FieldDec 05 2008Feb 25 2009We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subgroups of the isometry group, we prove the existence of one timelike non ... More

Study on Resource Efficiency of Distributed Graph ProcessingMar 30 2017Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread in recent ... More

Relaxion Monodromy and the Weak Gravity ConjectureNov 30 2015Jul 25 2016The recently proposed relaxion models require extremely large trans-Planckian axion excursions as well as a potential explicitly violating the axion shift symmetry. The latter property is however inconsistent with the axion periodicity, which corresponds ... More

Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluidsMar 26 2013Since its elaboration by Whitham, almost fifty years ago, modulation theory has been known to be closely related to the stability of periodic traveling waves. However, it is only recently that this relationship has been elucidated, and that fully nonlinear ... More

Invariant Measures for a Stochastic Fokker-Planck EquationMar 26 2015We study the kinetic Fokker-Planck equation perturbed by a stochastic Vlasov force term. When the noise intensity is not too large, we solve the Cauchy Problem in a class of well-localized (in velocity) functions. We also show that, when the noise intensity ... More

Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimesOct 05 2006In order to apply variational methods to the action functional for geodesics of a stationary spacetime, some hypotheses, useful to obtain classical Palais-Smale condition, are commonly used: pseudo-coercivity, bounds on certain coefficients of the metric, ... More

A comparison of eigenvalue condition numbers for matrix polynomialsApr 25 2018In this paper, we consider the different eigenvalue condition numbers for matrix polynomials used in the literature and we compare them. One of these condition numbers is a generalization of the Wilkinson condition number for the standard eigenvalue problem. ... More

Hidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D Dirac delta potential problemJul 10 2007Jan 10 2008We show that the N=2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear $su(2|2)$ superunitary symmetry. The unexpected feature of this simple supersymmetric system is that it admits three different $\mathbb ... More

The origin of the hidden supersymmetryApr 30 2010Sep 08 2010The hidden supersymmetry and related tri-supersymmetric structure of the free particle system, the Dirac delta potential problem and the Aharonov-Bohm effect (planar, bound state, and tubule models) are explained by a special nonlocal unitary transformation, ... More

A convex formulation for hyperspectral image superresolution via subspace-based regularizationNov 14 2014Hyperspectral remote sensing images (HSIs) usually have high spectral resolution and low spatial resolution. Conversely, multispectral images (MSIs) usually have low spectral and high spatial resolutions. The problem of inferring images which combine ... More

A Framework for Fast Image Deconvolution with Incomplete ObservationsFeb 03 2016Aug 30 2016In image deconvolution problems, the diagonalization of the underlying operators by means of the FFT usually yields very large speedups. When there are incomplete observations (e.g., in the case of unknown boundaries), standard deconvolution techniques ... More

A Calculus for Sensor NetworksDec 19 2006We consider the problem of providing a rigorous model for programming wireless sensor networks. Assuming that collisions, packet losses, and errors are dealt with at the lower layers of the protocol stack, we propose a Calculus for Sensor Networks (CSN) ... More

Detection of a Super Star Cluster as the Ionizing Source in the Low Luminosity AGN NGC 4303Jul 03 2002HST UV STIS imaging and spectroscopy of the low luminosity AGN (LLAGN) NGC 4303 have identified the previously detected UV-bright nucleus of this galaxy, as a compact, massive and luminous stellar cluster. The cluster with a size (FWHM) of 3.1 pc, and ... More

Geometric Realizability of Covariant Derivative Kähler Tensors for almost Pseudo-Hermitian and almost Para-Hermitian ManifoldsDec 22 2010The covariant derivative of the K\"ahler form of an almost pseudo-Hermitian or of an almost para-Hermitian manifold satisfies certain algebraic relations. We show, conversely, that any 3-tensor which satisfies these algebraic relations can be realized ... More

Deep Speech Enhancement for Reverberated and Noisy Signals using Wide Residual NetworksJan 03 2019This paper proposes a deep speech enhancement method which exploits the high potential of residual connections in a wide neural network architecture, a topology known as Wide Residual Network. This is supported on single dimensional convolutions computed ... More

An Extension of Averaged-Operator-Based AlgorithmsJun 12 2018Many of the algorithms used to solve minimization problems with sparsity-inducing regularizers are generic in the sense that they do not take into account the sparsity of the solution in any particular way. However, algorithms known as semismooth Newton ... More

Supersymmetry Transformations for Delta PotentialsDec 03 2010Mar 22 2011We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation ... More

Determining Bolometric Corrections for BATSE Burst ObservationsSep 29 2002We compare the energy and count fluxes obtained by integrating over the finite bandwidth of BATSE with a measure proportional to the bolometric energy flux, the phi-measure, introduced by Borgonovo & Ryde. We do this on a sample of 74 bright, long, and ... More

A 5 GHz LNA for a Radio-Astronomy ExperimentMar 03 2011The paper describes the project, implementation and test of a C-band (5GHz) Low Noise Amplifier (LNA) using new low noise Pseudomorphic High Electron Mobility Transistors (pHEMTS) from Avago. The amplifier was developed to be used as a cost effective ... More

Exotic supersymmetry of the kink-antikink crystal, and the infinite period limitDec 21 2010Apr 10 2011Some time ago, Thies et al. showed that the Gross-Neveu model with a bare mass term possesses a kink-antikink crystalline phase. Corresponding self-consistent solutions, known earlier in polymer physics, are described by a self-isospectral pair of one-gap ... More

Hyperspectral image superresolution: An edge-preserving convex formulationMar 31 2014Jun 10 2014Hyperspectral remote sensing images (HSIs) are characterized by having a low spatial resolution and a high spectral resolution, whereas multispectral images (MSIs) are characterized by low spectral and high spatial resolutions. These complementary characteristics ... More

Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlatticesNov 28 1996The continuum limit of a recently-proposed model for charge transport in resonant-tunneling semiconductor superlattices is analyzed. It is described by a nonlinear hyperbolic integrodifferential equation on a one-dimensional spatial support, supplemented ... More

Stability of periodic waves in Hamiltonian PDEsDec 06 2013Partial differential equations endowed with a Hamiltonian structure, like the Korteweg--de Vries equation and many other more or less classical models, are known to admit rich families of periodic travelling waves. The stability theory for these waves ... More

Regularity for anisotropic fully nonlinear integro-differential equationsNov 04 2013We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior $C^{1, \gamma}$ regularity, ... More

A note on the kernel of a pair of linear mapsMar 08 2016The kernel of a pair of linear systems is studied in the framework of commutative ring theory with applications to behavioral perspective of linear systems

Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformationsOct 26 2018M\"{o}bius transformations have been used in numerical algorithms for computing eigenvalues and invariant subspaces of structured generalized and polynomial eigenvalue problems (PEPs). These transformations convert problems with certain structures arising ... More

Harnessing synthetic gauge fields for maximally entangled state generationJan 21 2014We study the generation of entanglement between two species of neutral cold atoms living on an optical ring lattice, where each group of particles can be described by a $d$-dimensional Hilbert space (qu$d$it). Synthetic magnetic fields are exploited to ... More

A Formal Model for Programming Wireless Sensor NetworksFeb 07 2007In this paper we present new developments in the expressiveness and in the theory of a Calculus for Sensor Networks (CSN). We combine a network layer of sensor devices with a local object model to describe sensor devices with state. The resulting calculus ... More

Linear representations of convolutional codes over ringsJul 28 2016In this paper we extend the relation between convolutional codes and linear systems over finite fields to certain commutative rings through first order representations . We introduce the definition of rings with representations as those for which these ... More

Comment on 'Energy partitioning schemes: a dilemma' [I. Mayer, Faraday Discuss., (2007) 135, 439]Apr 19 2011A study of some decomposition schemes of the molecular energy into one- and two-center contributions published in the above mentioned journal highlights the importance of a 'dilemma' raised in such decompositions. Even more, it has been recently assigned ... More

Wormholes, Gamma Ray Bursts and the Amount of Negative Mass in the UniverseMay 19 1998In this essay, we assume that negative mass objects can exist in the extragalactic space and analyze the consequences of their microlensing on light from distant Active Galactic Nuclei. We find that such events have very similar features to some observed ... More

Vacuum static Brans-Dicke wormholeJul 10 1997A simple Lorentzian vacuum wormhole solution of Brans-Dicke gravitation is presented and analysed. It is shown that such solution holds for both, the Brans-Dicke theory endowed with torsion (for a value of the coupling parameter $\omega > 1/2$) and for ... More

AC transport in graphene-based Fabry-Perot devicesJul 24 2009We report on a theoretical study of the effects of time-dependent fields on electronic transport through graphene nanoribbon devices. The Fabry-P\'{e}rot interference pattern is modified by an ac gating in a way that depends strongly on the shape of the ... More

Radiation from a uniformly accelerated charge in the outskirts of a wormhole throatNov 27 2000Using traversable wormholes as theoretical background, we revisit a deep question of general relativity: Does a uniformly accelerated charged particle radiate? We particularize to the recently proposed gravitational \v{C}erenkov radiation, that happens ... More

Tunable beam displacerMay 19 2014Jan 08 2015We report the implementation of a tunable beam displacer, composed of a polarizing beam splitter (PBS) and two mirrors, that divides an initially polarized beam into two parallel beams whose separation can be continuously tuned. The two output beams are ... More

Testing the Correlation of Ultra-High Energy Cosmic Rays with High Redshift SourcesAug 23 2000Dec 04 2000We study the correlation between compact radio quasars or 3EG gamma-ray blazars and the arrival directions of cosmic rays above 10^19 eV using an updated list of air shower detections. Our Monte Carlo simulations reveal no significant correlations above ... More

Valley filtering by a line-defect in graphene: quantum interference and inversion of the filter effectSep 19 2016Valley filters are crucial to any device exploiting the valley degree of freedom. By using an atomistic model, we analyze the mechanism leading to the valley filtering produced by a line-defect in graphene and show how it can be inverted by external means. ... More

Observation of the full spiral spectrum of a light beam with single-pixel detectionAug 14 2017We demonstrate experimentally a simple and easy-to-use technique aimed at measuring the complex orbital angular momentum spectrum of an arbitrary optical field making use of just polarization measurements. The technique can be applied to any other family ... More

[Regularity of interfaces for a Pucci type segregation problemMar 09 2018We show the existence of a Lipschitz viscosity solution $u$ in $\Omega$ to a system of fully nonlinear equations involving Pucci-type operators. We study the regularity of the interface $\partial \{ u> 0 \}\cap\Om$ and we show that the viscosity inequalities ... More

Automatic Summarization of Soccer Highlights Using Audio-visual DescriptorsNov 24 2014Automatic summarization generation of sports video content has been object of great interest for many years. Although semantic descriptions techniques have been proposed, many of the approaches still rely on low-level video descriptors that render quite ... More