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Information inefficiency in a random linear economy modelOct 05 2016Oct 10 2016We study the effects of introducing information inefficiency in a model for a random linear economy with a representative consumer. This is done by considering statistical, instead of classical, economic general equilibria. Employing two different approaches ... More

IDTxl: The Information Dynamics Toolkit xl: a Python package for the efficient analysis of multivariate information dynamics in networksJul 27 2018Feb 19 2019The Information Dynamics Toolkit xl (IDTxl) is a comprehensive software package for efficient inference of networks and their node dynamics from multivariate time series data using information theory. IDTxl provides functionality to estimate the following ... More

Heavy quark potential from a QCD related effective couplingSep 04 2015Mar 27 2016We implement our past investigations in the quark-antiquark interaction by a non-perturbative running coupling defined in terms of a gluon mass function, similar to that used in some Dyson-Schwinger approaches. This coupling leads to a quark-antiquark ... More

Heavy quark potential from QCD-related effective couplingSep 04 2015Nov 05 2016We implement our past investigations in the quark-antiquark interaction through a non-perturbative running coupling defined in terms of a gluon mass function, similar to that used in some Schwinger-Dyson approaches. This coupling leads to a quark-antiquark ... More

Computer tools in particle physicsJul 22 2015Jul 27 2015The field of particle physics is living very exciting times with a plethora of experiments looking for new physics in complementary ways. This has made increasingly necessary to obtain precise predictions in new physics models in order to be ready for ... More

Torelli theorem for the moduli spaces of pairsJun 16 2008Let X be a smooth projective curve of genus at least two over the complex numbers. A pair (E,\phi) over X consists of an algebraic vector bundle E over X and a holomorphic section \phi of E. There is a concept of stability for pairs which depends on a ... More

Maximum Likelihood Estimation for the Weight Lindley Distribution Parameters under Different Types of CensoringMar 29 2015In this paper the maximum likelihood equations for the parameters of the Weight Lindley distribution are studied considering different types of censoring, such as, type I, type II and random censoring mechanism. A numerical simulation study is perform ... More

Moral foundations in an interacting neural networks societyJul 11 2013The moral foundations theory supports that people, across cultures, tend to consider a small number of dimensions when classifying issues on a moral basis. The data also show that the statistics of weights attributed to each moral dimension is related ... More

Non-formal compact manifolds with small Betti numbersApr 19 2005May 15 2006We show that, for any $k\geq 1$, there exist non-formal compact orientable $(k-1)$-connected $n$-manifolds with $k$-th Betti number $b_k=b\geq 0$ if and only if $n\geq \max \{4k-1, 4k+3-2b\}$.

The Geography of Non-formal ManifoldsApr 29 2004May 20 2004We show that there exist non-formal compact oriented manifolds of dimension $n$ and with first Betti number $b_1=b\geq 0$ if and only if $n\geq 3$ and $b\geq 2$, or $n\geq (7-2b)$ and $0\leq b\leq 2$. Moreover, we present explicit examples for each one ... More

An 8-dimensional non-formal simply connected symplectic manifoldJun 22 2005Jan 30 2007A non-formal simply connected compact symplectic manifold of dimension 8 is constructed.

Mean curvature and compactification of surfaces in a negatively curved Cartan-Hadamard manifoldJun 28 2012We state and prove a Chern-Osserman-type inequality in terms of the volume growth for complete surfaces with controlled mean curvature properly immersed in a Cartan-Hadamard manifold $N$ with sectional curvatures bounded from above by a negative quantity ... More

Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metricsMay 11 2017Nov 17 2017We show that the one-loop quantum deformation of the universal hypermultiplet provides a family of complete $1/4$-pinched negatively curved quaternionic K\"ahler (i.e. half conformally flat Einstein) metrics $g^c$, $c\ge 0$, on $\mathbb R^4$. The metric ... More

E-polynomial of SL(2,C)-character varieties of complex curves of genus 3May 28 2014Aug 28 2014We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g=3 into $ SL(2,C), and also of the moduli space of twisted representations. The case of genus g=1,2 has already been done in [http://arxiv.org/abs/1106.6011]. ... More

Formality of Donaldson submanifoldsNov 01 2002May 21 2007We introduce the concept of s-formal minimal model as an extension of formality. We prove that any orientable compact manifold M, of dimension 2n or (2n-1), is formal if and only if M is (n-1)-formal. The formality and the hard Lefschetz property are ... More

Driving mechanisms and streamwise homogeneity in molecular dynamics simulations of nanochannel flowsMay 25 2017In molecular dynamics simulations, nanochannel flows are usually driven by a constant force, that aims to represent a pressure difference between inlet and outlet, and periodic boundary conditions are applied in the streamwise direction resulting in an ... More

A priori bounds for degenerate and singular evolutionary partial integro-differential equationsJul 12 2010We study quasilinear evolutionary partial integro-differential equations of second order which include time fractional $p$-Laplace equations of time order less than one. By means of suitable energy estimates and De Giorgi's iteration technique we establish ... More

Optimal decay estimates for time-fractional and other non-local subdiffusion equations via energy methodsOct 01 2013We prove sharp estimates for the decay in time of solutions to a rather general class of non-local in time subdiffusion equations on a bounded domain subject to a homogeneous Dirichlet boundary condition. Important special cases are the time-fractional ... More

Global pseudodifferential operators of infinite order in classes of ultradifferentiable functionsFeb 06 2019We develop a theory of pseudodifferential operators of infinite order for the global classes $\mathcal{S}_{\omega}$ of ultradifferentiable functions in the sense of Bj\"orck, following the previous ideas given by Prangoski for ultradifferentiable classes ... More

Hodge polynomials of the SL(2,C)-character variety of an elliptic curve with two marked pointsNov 19 2013Dec 18 2014We compute the Hodge polynomials for the moduli space of representations of an elliptic curve with two marked points into SL(2,C). When we fix the conjugacy classes of the representations around the marked points to be diagonal and of modulus one, the ... More

Agent-based Social Psychology: from Neurocognitive Processes to Social DataMay 31 2010Jul 25 2011Moral Foundation Theory states that groups of different observers may rely on partially dissimilar sets of moral foundations, thereby reaching different moral valuations. The use of functional imaging techniques has revealed a spectrum of cognitive styles ... More

Functional Optimisation of Online Algorithms in Multilayer Neural NetworksJun 02 1997We study the online dynamics of learning in fully connected soft committee machines in the student-teacher scenario. The locally optimal modulation function, which determines the learning algorithm, is obtained from a variational argument in such a manner ... More

On nonlocality as a resource theory and nonlocality measuresJan 27 2014Oct 09 2014With the advent of device independent quantum information processing, nonlocality is nowadays regarded as a resource to implement various tasks. On the analogy of entanglement theory we approach nonlocality from this perspective. In order to do so, we ... More

Simply-connected K-contact and Sasakian manifolds of dimension 7Aug 11 2014Aug 18 2014We construct a compact simply-connected 7-dimensional manifold admitting a K-contact structure but not a Sasakian structure. We also study rational homotopy properties of such manifolds, proving in particular that a simply-connected 7-dimensional Sasakian ... More

Symplectic Lie Groups I-IIIJul 05 2013Oct 14 2013We develop the structure theory of symplectic Lie groups based on the study of their isotropic normal subgroups. The article consists of three main parts. In the first part we show that every symplectic Lie group admits a sequence of subsequent symplectic ... More

Volume growth of submanifolds and the Cheeger Isoperimetric ConstantApr 29 2011Apr 12 2012We obtain an estimate of the Cheeger isoperimetric constant in terms of the volume growth for a properly immersed submanifold in a Riemannian manifold which possesses at least one pole and sectional curvature bounded from above .

Geometry of the SL(3,C)-character variety of torus knotsSep 16 2014Let G be the fundamental group of the complement of the torus knot of type (m,n). This has a presentation G=<x,y|x^m=y^n>. We find the geometric description of the character variety X(G) of characters of representations of G into SL(3,C), GL(3,C) and ... More

An algorithm for computing geometric relative velocities through Fermi and observational coordinatesJan 14 2013Sep 16 2013We present a numerical method for computing the \textit{Fermi} and \textit{observational coordinates} of a distant test particle with respect to an observer. We apply this method for computing some previously introduced concepts of relative velocity: ... More

Symplectic nilmanifolds with a symplectic non-free $Z_3$-actionJun 22 2005Dec 12 2006This paper expands some of the issues of the paper math.SG/0506449. We introduce a new technique to produce symplectic manifolds, by taking a symplectic non-free action of a finite group on a symplectic manifold and resolving symplectically the singularities ... More

On the characterization of parabolicity and hyperbolicity of submanifoldsSep 02 2009We give a set of sufficient and necessary conditions for parabolicity and hyperbolicity of a submanifold with controlled mean curvature in a Riemannian manifold with a pole and with sectional curvatures bounded from above or from below.

Stability, instability, and blowup for time fractional and other non-local in time semilinear subdiffusion equationsOct 15 2016We consider non-local in time semilinear subdiffusion equations on a bounded domain, where the kernel in the integro-differential operator belongs to a large class, which covers many relevant cases from physics applications, in particular the important ... More

Pseudo-Riemannian almost hypercomplex homogeneous spaces with irreducible isotropyJun 21 2016Mar 20 2017We classify homogeneous pseudo-Riemannian manifolds of index 4 which admit an invariant almost hyper-Hermitian structure and an H-irreducible isotropy group. The main result is that all these spaces are flat except in dimension 12.

Extrinsic Isoperimetric Analysis on Submanifolds with Curvatures Bounded from BelowAug 31 2007We obtain upper bounds for the isoperimetric quotients of extrinsic balls of submanifolds in ambient spaces which have a lower bound on their radial sectional curvatures. The submanifolds are themselves only assumed to have lower bounds on the radial ... More

Manifolds which are complex and symplectic but not KählerApr 30 2014The first example of a compact manifold admitting both complex and symplectic structures but not admitting a K\"ahler structure is the renowned Kodaira-Thurston manifold. We review its construction and show that this paradigm is very general and is not ... More

Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equationsAug 17 2015Jul 22 2017In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which their corresponding weak solution to the three-dimensional Navier-Stokes equations become smooth on either $[0,T_1]$ or $ [T_2,\infty)$, ... More

Volume Growth, Number of Ends and the Topology of a Complete SubmanifoldDec 17 2011Apr 19 2012Given a complete isometric immersion $\phi: P^m \longrightarrow N^n$ in an ambient Riemannian manifold $N^n$ with a pole and with radial sectional curvatures bounded from above by the corresponding radial sectional curvatures of a radially symmetric space ... More

On the conservative pasting lemmaNov 05 2016Several $C^{r}$ ($r\in Z^{+}$) perturbation tools are established in the volume preserving setting allowing for the pasting, extension, localized smoothing and local linearization of vector fields. For diffeomorphisms, a conservative linearized version ... More

Absorption properties of identical atomsJul 31 2013Emission rates and other optical properties of multiparticle systems in collective and entangled states differ from those in product ones. We show the existence of similar effects in the absorption probabilities for (anti)symmetrized states of two identical ... More

Two-particle Kapitza-Dirac diffractionSep 17 2010We extend the study of Kapitza-Dirac diffraction to the case of two-particle systems. Due to the exchange effects the shape and visibility of the two-particle detection patterns show important differences for identical and distinguishable particles. We ... More

Hyperfinite knots via the CJKLS invariant in the thermodynamic limitJul 07 2006Aug 06 2006We set forth a definition of hyperfinite knots. Loosely speaking, these are limits of certain sequences of knots with increasing crossing number. These limits exist in appropriate closures of quotient spaces of knots. We give examples of hyperfinite knots. ... More

The Sizes of Kuiper Belt ObjectsOct 30 2009One of the most fundamental problems in the study of Kuiper belt objects (KBOs) is to know their true physical size. Without knowledge of their albedos we are not able to distinguish large and dark from small and bright KBOs. Spitzer produced rough estimates ... More

Isentropic thermodynamics and scalar-mesons properties near the QCD critical end pointOct 19 2016We investigate the QCD phase diagram and the location of the critical end point (CEP) in the SU(2) Polyakov$-$Nambu$-$Jona-Lasinio model with entanglement interaction giving special attention to the $\pi$ and $\sigma$-mesons properties, namely the decay ... More

Reflexive functors in Algebraic GeometryOct 26 2015Nov 13 2015Reflexive functors of modules naturally appear in Algebraic Geometry. In this paper we define a wide and elementary family of reflexive functors of modules, closed by tensor products and homomorphisms, in which Algebraic Geometry can be developed.

Almost sure convergence and asymptotical normality of a generalization of Kesten's stochastic approximation algorithm for multidimensional caseMay 26 2011It is shown the almost sure convergence and asymptotical normality of a generalization of Kesten's stochastic approximation algorithm for multidimensional case. In this generalization, the step increases or decreases if the scalar product of two subsequente ... More

On an inverse problem in electromagnetism with local data: stability and uniquenessMay 26 2010In this paper we prove a stable determination of the coefficients of the time-harmonic Maxwell equations from local boundary data. The argument --due to Isakov-- requires some restrictions on the domain.

Constraints on InflationSep 29 2000A short introduction to structure formation is given, followed by a discussion of the possible characteristics of the initial perturbations assuming a generic inflationary origin. Observational data related to large-scale structure and the cosmic microwave ... More

Correlations between the interacting fragments of decaying processesFeb 25 2009We study the correlations (and alignment as a particular case) existent between the fragments originated in a decaying process when the daughter particles interact. The interaction between the particles is modeled using the potential of coupled oscillators, ... More

Coexistence of Quantum Theory and Special Relativity in signaling scenariosMay 15 2008The coexistence between Quantum Mechanics and Special Relativity is usually formulated in terms of the no-signaling condition. Several authors have even suggested that this condition should be included between the basic postulates of Quantum Theory. However, ... More

Partial profiles of quasi-complete graphsFeb 16 2008Jan 23 2016We enumerate graph homomorphisms to quasi-complete graphs, i.e., graphs obtained from complete graphs by removing one edge. The source graphs are complete graphs, quasi-complete graphs, cycles, paths, wheels and broken wheels. These enumerations give ... More

Removing Colors 2k, 2k-1, and kAug 24 2013We prove that if a link admits non-trivial (2k+1)-colorings, with prime 2k+1>7, it also admits non-trivial (2k+1)-colorings not involving colors 2k, 2k-1, nor k.

Sequences of knots and their limitsJan 25 2008Hyperfinite knots, or limits of equivalence classes of knots induced by a knot invariant taking values in a metric space, were introduced in a previous article by the author. In this article, we present new examples of hyperfinite knots stemming from ... More

On singular Fano varieties with a divisor of Picard number oneMay 26 2016In this paper we study the geometry of mildly singular Fano varieties on which there is an effective prime divisor of Picard number one. Afterwards, we address the case of toric varieties. Finally, we treat the lifting of extremal contractions to universal ... More

Scalar Fields in Particle PhysicsAug 05 2016Extending the scalar sector helps in studying the Higgs mechanism and some Standard Model problems. We implement the correspondence between the gauge-dependent elementary states and the non-perturbative non-abelian gauge-invariant asymptotic states, necessary ... More

Off-line Programming and Simulation from CAD Drawings: Robot-Assisted Sheet Metal BendingNov 18 2013Increasingly, industrial robots are being used in production systems. This is because they are highly flexible machines and economically competitive with human labor. The problem is that they are difficult to program. Thus, manufacturing system designers ... More

A Class of Morse Functions on Flag ManifoldsNov 06 2013Given a positive definite symmetric matrix in one of the groups SL(n, R) or Sp(n, R), we analyse its actions on Flag Manifolds, proving these are diffeomorphisms which admit as strict Lyapunov functions a special class of quadratic functions, all of them ... More

Asymptotic Expansion and the LG/(Fano, General Type) CorrespondenceNov 15 2014Mar 22 2015The celebrated LG/CY correspondence asserts that the Gromov-Witten theory of a Calabi-Yau (CY) hypersurface in weighted projective space is equivalent to its corresponding FJRW-theory (LG) via analytic continuation. It is well known that this correspondence ... More

The two-particle two-slit experimentFeb 24 2014Identical two-particle interferometry provides a scenario where interference and exchange effects manifest at once. We present a detailed calculation of the detection patterns in the two-particle two-slit experiment by extending Feynman's Gaussian slit ... More

Minimal models for monomial algebrasApr 04 2018Sep 08 2018Using combinatorics of chains going back to works of Anick, Green, Happel and Zacharia, we give, for any monomial algebra $A$, an explicit description of its minimal model. This also provides us with formulas for a canonical $A_\infty$-structure on the ... More

Quandles at Finite Temperatures IMay 11 2001May 12 2001In CJKLS quandle cohomology is used to produce invariants for particular embeddings of codimension two; 2-cocycles give to invariants for (classical) knots and 3-cocycles give rise to invariants for knotted surfaces. This is done by way of a notion of ... More

Time-Resolved Near-Infrared Photometry of Extreme Kuiper Belt Object HaumeaNov 23 2008We present time-resolved near-infrared (J and H) photometry of the extreme Kuiper belt object (136108) Haumea (formerly 2003 EL61) taken to further investigate rotational variability of this object. The new data show that the near-infrared peak-to-peak ... More

Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end pointOct 19 2016The location of the critical end point (CEP) and the isentropic trajectories in the QCD phase diagram are investigated. We use the (2+1) Nambu$-$Jona-Lasinio model with the Polyakov loop coupling for different scenarios, namely by imposing zero strange ... More

KLR algebras and the branching rule II: the categorical Gelfand-Tsetlin basis for the classical Lie algebrasJul 02 2014We construct functors categorifying the branching rules for $U_q(\mathfrak{g})$ for $\mathfrak{g}$ of type $B_n$, $C_n$, and $D_n$ for the embeddings $so_{2n+1}\supset so_{2n-1}$, $sp_{2n}\supset sp_{2n-2}$, and $so_{2n}\supset so_{2n-2}$. We give the ... More

Deforming an ε-Close to Hyperbolic Metric to a Hyperbolic MetricJun 06 2014Sep 19 2016We define and study "hyperbolic forcing".

Normal Smoothings for Smooth Cube ManifoldsJun 06 2014Sep 19 2016We prove that smooth cube manifolds have normal smooth structures.

Cut Limits on Hyperbolic ExtensionsJun 06 2014Sep 19 2016We study the relationship between two concepts: cut limits and hyperbolic extensions.

Hyperbolic Extensions and Metrics $ε$-Close to HyperbolicJun 06 2014Sep 19 2016We define and study hyperbolic extensions.

The Emergent Universe scheme and TunnelingJun 04 2014We present an alternative scheme for an Emergent Universe scenario, developed previously in $Phys.\ Rev.\ D {\bf 86}, 083524 (2012)$, where the universe is initially in a static state supported by a scalar field located in a false vacuum. The universe ... More

Atomic Kapitza-Dirac effect with quadrupole transitionsNov 05 2013Interactions between atoms and light fields are usually described in the electric-dipole approximation. We show that electric-quadrupole terms are important in the Kapitza-Dirac arrangement for light gratings on resonance with a quadrupole atomic transition. ... More

Perspectives on top quark physics after Run I of the LHC: sqrt(s)=13 TeV and beyondNov 25 2014A summary of the on-going preparations from the ATLAS and CMS collaborations to perform top quark physics in Run II of the LHC and at the HL-LHC is given. To maintain the current level of precision and profit from the high-luminosity scenario expected ... More

Genus statistics for structure formation with topological defectsJan 22 1996We study the efficiency of genus statistics in differentiating between different models of structure formation. Simple models which reproduce the salient features of the structure seeded by topological defects are examined. We consider accretion onto ... More

A note on infinitely distributive inverse semigroupsJun 22 2005We show that in any infinitely distributive inverse semigroup the existing binary meets distribute over all the joins that exist.

Atomic diffraction by light gratings with very short wavelengthsJun 23 2013Lasers with wavelengths of the order of the atomic size are becoming available. We explore the behavior of light-matter interactions in this emergent field by considering the atomic Kapitza-Dirac effect. We derive the diffraction patterns, which are in ... More

The Bragg regime of the two-particle Kapitza-Dirac effectJul 04 2011We analyze the Bragg regime of the two-particle Kapitza-Dirac arrangement, completing the basic theory of this effect. We provide a detailed evaluation of the detection probabilities for multi-mode states, showing that a complete description must include ... More

Detection of massive multi-particle beams by two-particle ionizationJul 15 2007Multi-photon absorption is a well-known phenomenon. With atom lasers a similar process could take place for massive particles, the ionization of an atom or molecule by the successive interaction with various particles. This process would lead to multi-particle ... More

Cosmic Strings in an Open Universe with Baryonic and Non-Baryonic Dark MatterOct 11 1994We study the effects of cosmic strings on structure formation in open universes. We calculate the power spectrum of density perturbations for two class of models: one in which all the dark matter is non baryonic (CDM) and one in which it is all baryonic ... More

Quantales as geometric objects: symmetry beyond groupoids?Jun 22 2005This is a short survey paper, partly meant as a research announcement. Its purpose is to highlight some aspects of the interplay between quantales, inverse semigroups, and groupoids. Many of the results mentioned have not yet been presented and will appear ... More

Quantales and Fell bundlesJan 30 2017Nov 30 2017We study Fell bundles on groupoids from the viewpoint of quantale theory. Given any saturated upper semicontinuous Fell bundle $\pi:E\to G$ on an \'etale groupoid $G$ with $G_0$ locally compact Hausdorff, equipped with a suitable completion C*-algebra ... More

Post-Quantum Cryptography(PQC): Generalized ElGamal Cipher over GF(251^8)Feb 12 2017Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks by means of for instance Shor's polynomial time algorithm for numerical field problems like integer factorization (IFP) or the discrete logarithm (DLP). Other ... More

PQC: Triple Decomposition Problem Applied To GL(d, Fp) - A Secure Framework For Canonical Non-Commutative CryptographyOct 21 2018Oct 25 2018Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions is provided ... More

Non-commutative Schur-Horn theorems and extended majorization for hermitian matricesDec 13 2007Let $\mathcal A\subseteq \mat$ be a unital $*$-subalgebra of the algebra $\mat$ of all $n\times n$ complex matrices and let $B$ be an hermitian matrix. Let $\U_n(B)$ denote the unitary orbit of $B$ in $\mat$ and let $\mathcal E_\mathcal A$ denote the ... More

On the conservative pasting lemmaNov 05 2016Oct 17 2018Several perturbation tools are established in the volume preserving setting allowing for the pasting, extension, localized smoothing and local linearization of vector fields. The pasting and local linearization hold in all classes of regularity ranging ... More

On a class of immersions of spheres into space forms of nonpositive curvatureJan 25 2018Jul 31 2018Let $ M^{n+1} $ ($ n \ge 2 $) be a simply-connected space form of sectional curvature $ -\kappa^2 $ for some $ \kappa \geq 0 $, and $ I $ an interval not containing $ [-\kappa,\kappa] $ in its interior. It is known that the domain of a closed immersed ... More

Goal Clustering: VNS based heuristicsMay 22 2017Sep 20 2017Given a set V of n elements on m attributes, we want to find a partition of V on the minimum number of clusters such that the associated R-squared ratio is at least a given threshold. We denote this problem as Goal Clustering (GC). This problem represents ... More

The bar derived category of a curved dg algebraFeb 15 2007Apr 08 2008Curved A-infinity algebras appear in nature as deformations of dg algebras. We develop the basic theory of curved A-infinity algebras and, in particular, curved dg algebras. We investigate their link with a suitable class of dg coalgebras via the bar ... More

Number and Luminosity Evolution of Interacting Galaxies as a Natural explanation for the Galaxy CountsMay 23 1995A newly developed isochrone synthesis algorithm for the photometric evolution of galaxies is described. Two initial mass functions, IMFs, in particular, the recent IMF determined by Kroupa, Tout, and Gilmore, three photometric transformations, and a 1-Gyr-burst ... More

Identical two-particle interferometry in diffraction gratingsMar 11 2010We study diffraction and interference of indistinguishable particles. We consider some examples where the wavefunctions and detection probabilities can be evaluated in an analytical way. The diffraction pattern of a two-particle system shows notorious ... More

Second order contributions to the absorption of massive particlesJan 24 2008Recently, in analogy with multiphoton ionization, it has been suggested that multiparticle ionization can also be induced by massive systems. We explore in this paper the possibility that multiparticle absorption processes can also take place for massive ... More

Dirac's principle in multimode interference of independent sourcesJul 29 2005The extended Dirac's principle describes the interference between different particles as an effect of the multiparticle system with itself. In this paper we present a novel example, based on the detection of particles emitted in multimode states by independent ... More

The regularity of the $η$ function for the Shubin calculusSep 06 2012We prove the regularity of the $\eta$ function for classical pseudodifferential operators with Shubin symbols. We recall the construction of complex powers and of the Wodzicki and Kontsevich-Vishik functionals for classical symbols on $\mathbb{R}^{n}$ ... More

A Change in the Lightcurve of Kuiper Belt Contact Binary (139775) 2001 QG298Jul 18 2011New observations show that the lightcurve of Kuiper belt contact binary (139775) 2001 QG298 has changed substantially since the first observations in 2003. The 2010 lightcurve has a peak-to-peak photometric of range \Deltam{2010}=0.7\pm0.1 mag, significantly ... More

Detection of Contact Binaries Using Sparse High Phase Angle LightcurvesNov 14 2007We show that candidate contact binary asteroids can be efficiently identified from sparsely sampled photometry taken at phase angles >60deg. At high phase angle, close/contact binary systems produce distinctive lightcurves that spend most of the time ... More

Functional Answer Set ProgrammingJun 18 2010In this paper we propose an extension of Answer Set Programming (ASP), and in particular, of its most general logical counterpart, Quantified Equilibrium Logic (QEL), to deal with partial functions. Although the treatment of equality in QEL can be established ... More

Improved optical transitions theory for superlattices and periodic systems; new selection rulesJul 10 2016Sep 15 2016Using the superlattice (SL) eigenvalues $E_{\mu ,\nu }^{c,v}$ and eigenfunctions $\varphi_{\mu\nu}^{c,v}(z) $, obtained within the theory of finite periodic systems, where $\mu$ indicates the subbands and $\nu$ the intra-subband levels, we calculate optical ... More

Relating spontaneous and explicit symmetry breaking in the presence of the Higgs mechanismMay 05 2016Nov 28 2016One common way to define spontaneous symmetry breaking involves necessarily explicit symmetry breaking. We study Quantum Field Theories extending the Standard Model, without anomalies. We add explicit symmetry breaking terms to the Higgs potential, so ... More

Deforming an ε-Close to Hyperbolic Metric to a Warp MetricJun 06 2014Sep 19 2016We define and study "warp forcing".

On the Farrell and Jones Warping DeformationJun 06 2014Mar 20 2016We study the Farrell and Jones Warping Deformation.

Gravitational Waves From a Dark (Twin) Phase TransitionApr 27 2015May 18 2015In this work, we show that a large class of models with a composite dark sector undergo a strong first order phase transition in the early universe, which could lead to a detectable gravitational wave signal. We summarise the basic conditions for a strong ... More

Towards a proof of the Shelah Presentation Theorem in Metric Abstract Elementary ClassesApr 21 2015In my PhD thesis a version of Shelah's Presentation Theorem in the setting of Metric Abstract Elementary Classes was proved, where we claimed that the new function symbols are not necessarily uniformly continuous. In this paper we provide a proof they ... More

Riemannian HyperbolizationJun 06 2014Nov 27 2014We smooth the singularities of a strictly hyperbolized smooth cube manifold.

Emergent universe scenario and the low CMB multipolesDec 24 2013Apr 20 2015In this work we study superinflation in the context of the emergent universe (EU) scenario. The existence of a superinflating phase before the onset of slow-roll inflation arises in any emergent universe model. We found that the superinflationary period ... More