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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

A holomorphic representation formula for parabolic hyperspheresJul 05 2001Jul 15 2001A holomorphic representation formula for special parabolic hyperspheres is given.

Quark degrees of freedom in hadronic systems: Partonic distributionsJul 31 2001The role of models in Quantum Chromodynamics is to produce simple physical pictures that connect the phenomenological regularities with the underlying structure. The static properties of hadrons have provided experimental input to define a variety of ... 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

On rotation of complex structuresJul 30 2013Jan 09 2014We put in a general framework the situations in which a Riemannian manifold admits a family of compatible complex structures, including hyperkahler metrics and the Spin-rotations of arxiv:1302.2846. We determine the (polystable) holomorphic bundles which ... More

Special Kaehler manifolds: a surveyDec 12 2001This is a survey of recent contributions to the area of special Kaehler geometry. It is based on lectures given at the 21st Winter School on Geometry and Physics held in Srni in January 2001.

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

Design of a Robotic System for Diagnosis and Rehabilitation of Lower LimbsOct 23 2017Currently, lower limb robotic rehabilitation is widely developed, However, the devices used so far seem to not have a uniform criteria for their design, because, on the contrary, each developed mechanism is often presented as if it does not take into ... 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

Proper Affine Hyperspheres which fiber over Projective Special Kaehler ManifoldsMay 29 2002We show that the natural S^1-bundle over a projective special Kaehler manifold carries the geometry of a proper affine hypersphere endowed with a Sasakian structure. The construction generalizes the geometry of the Hopf-fibration $\Sr^{2n+1} \longrightarrow ... More

Abelian simply transitive affine groups of symplectic typeMay 03 2001Nov 28 2002We construct a model space $C(\gsp(\bR^{2n}))$ for the variety of Abelian simply transitive groups of affine transformations of type ${\rm Sp}(\bR^{2n})$. The model is stratified and its principal stratum is a Zariski-open subbundle of a natural vector ... More

Realisation of special Kaehler manifolds as parabolic spheresNov 11 1999We prove that any simply connected special Kaehler manifold admits a canonical immersion as a parabolic affine hypersphere. As an application, we associate a parabolic affine hypersphere to any nondegenerate holomorphic function. Also we show that a classical ... 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

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

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

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

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

Generalized connections, spinors, and integrability of generalized structures on Courant algebroidsMay 06 2019We present a characterization, in terms of torsion-free generalized connections, for the integrability of various generalized structures (generalized almost complex structures, generalized almost hypercomplex structures, generalized almost Hermitian structures ... More

The quaternionic/hypercomplex-correspondenceApr 12 2019Given a quaternionic manifold $M$ with a certain $\mathrm{U}(1)$-symmetry, we construct a hypercomplex manifold $M'$ of the same dimension. This construction generalizes the quaternionic K\"ahler/hyper-K\"ahler-correspondence. As an example of this construction, ... 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.

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

Semipositive bundles and Brill-Noether theoryJul 31 2001Oct 09 2001We prove a Lefschetz hyperplane theorem for the determinantal loci of a morphism between two holomorphic vector bundles $E$ and $F$ over a complex manifold under the condition that $E^*\ox F$ is Griffiths $k$-positive. We apply this result to find some ... More

Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and Hyperbolic spacesNov 24 2010Apr 14 2012We study the topology of (properly) immersed complete minimal surfaces $P^2$ in Hyperbolic and Euclidean spaces which have finite total extrinsic curvature, using some isoperimetric inequalities satisfied by the extrinsic balls in these surfaces, (see ... 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

Classification of Minimal Algebras over any Field up to Dimension 6Jan 21 2010Sep 18 2010We give a classification of minimal algebras generated in degree 1, defined over any field $\bk$ of characteristic different from 2, up to dimension 6. This recovers the classification of nilpotent Lie algebras over $\bk$ up to dimension 6. In the case ... 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

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.

E-polynomial of the SL(3,C)-character variety of free groupsMay 05 2014Sep 12 2015We compute the E-polynomial of the character variety of representations of a rank r free group in SL(3, C). Expanding upon existing techniques, we stratify the space of representations and compute the E-polynomial of each geometrically described stratum ... 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

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

The second inner variation of energy and the Morse index of limit interfacesOct 12 2017In this article we study the second variation of the energy functional associated to the Allen-Cahn equation on closed manifolds. Extending well known analogies between the gradient theory of phase transitions and the theory of minimal hypersurfaces, ... More

Morita Invariance of Intrinsic Characteristic Classes of Lie AlgebroidsMay 01 2018Nov 15 2018In this note, we prove that intrinsic characteristic classes of Lie algebroids - which in degree one recover the modular class - behave functorially with respect to arbitrary transverse maps, and in particular are weak Morita invariants. In the modular ... More

A FFT-based finite-difference solver for massively-parallel direct numerical simulations of turbulent flowsFeb 28 2018Aug 02 2018We present an efficient solver for massively-parallel direct numerical simulations of incompressible turbulent flows. The method uses a second-order, finite-volume pressure-correction scheme, where the pressure Poisson equation is solved with the method ... More

A Li-type criterion for zero-free half-planes of Riemann's zeta functionJul 18 2005We define a sequence of real functions which coincide with Li's coefficients at one and which allow us to extend Li's criterion for the Riemann Hypothesis to yield a necessary and sufficient condition for the existence of zero-free strips inside the critical ... More

Waning in principal bundlesMar 31 2015Let $P\to M$ be a principal bundle. Consider a sequence of metrics on $P$ obtained by re-scaling the fibers to points. The Gromov-Hausdorff limit of the tangent bundles over these principal bundles with their Sasaki metric is seen herein to be a locally ... More

Flows near Compact Invariant Sets - Part IOct 10 2011Feb 13 2012In this paper it is proved that near a compact, invariant, proper subset of a continuous flow on a compact, connected metric space, at least one, out of twenty eight relevant dynamical phenomena, will necessarily occur. This result shows that assuming ... 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

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

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

Theory of finite periodic systems: The eigenfunctions symmetriesJul 10 2016Sep 14 2016Using the analytical expressions for the genuine eigenfunctions $\varphi_{\mu\nu}(z)$ and eigenvalues $E_{\mu,\nu}$, of open, bounded and quasi-bounded finite periodic systems, we derive the eigenfunctions space-inversion symmetry relations. The superlattice ... More

A generalized formulation for vehicle routing problemsJun 06 2016Different types of formulations are proposed in the literature to model vehicle routing problems. Currently, the most used ones can be fitted into two classes, namely vehicle flow formulations and set partitioning formulations. These types of formulations ... More

On the conservative pasting lemmaNov 05 2016Nov 19 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

The exponential laws for emission and decaying of entangled atomsAug 17 2017The first photon emission and the disentanglement of a pair of identical bosonic atoms in excited entangled states follow an exponential law. We extend the theory to distinguishable and identical fermionic two-atom systems. As a byproduct of the analysis ... More

New approach to study light-emission of periodic structures. Unveiling novel surface-states effectsDec 28 2016An accurate approach to calculate the optical response of periodic structures is proposed. Using the genuine superlattice eigenfunctions and energy eigenvalues, the eigenfunctions parity symmetries, the subband symmetries and the detached surface energy ... More

Why the effective-mass approximation works so well for nano-structuresJun 27 2017Feb 19 2018The reason why the effective-mass approximation, derived for wave packets constructed from infinite-periodic-systems' wave functions, works so well with nanoscopic structures, has been an enigma and a challenge for theorists. To explain and clarify this ... More

Addendum to: Dacorogna-Moser theorem on the Jacobian determinant equation with control of supportMay 02 2017In Dacorogna-Moser theorem on the pullback equation $\varphi^* (g)=f$ between two prescribed volume forms (with the same total volume), control of support of the solutions can be obtained from that of the initial data, while keeping optimal regularity. ... More

A difference of convex functions approach for sparse pde optimal control problems with nonconvex costsNov 06 2017Apr 20 2019We propose a local regularization of elliptic optimal control problems which involves the nonconvex $L^q$ fractional penalizations in the cost function. The proposed \emph{Huber type} regularization allows us to formulate the PDE constrained optimization ... More

Functoriality of groupoid quantales. IJan 31 2014Oct 28 2014We provide three functorial extensions of the equivalence between localic etale groupoids and their quantales. The main result is a biequivalence between the bicategory of localic etale groupoids, with bi-actions as 1-cells, and a bicategory of inverse ... More

A Review of Error Estimation in Adaptive QuadratureMar 24 2010Nov 07 2010The most critical component of any adaptive numerical quadrature routine is the estimation of the integration error. Since the publication of the first algorithms in the 1960s, many error estimation schemes have been presented, evaluated and discussed. ... More

Mean curvature, volume and properness of isometric immersionsMar 31 2015We explore the relation among volume, curvature and properness of a $m$-dimensional isometric immersion in a Riemannian manifold. We show that, when the $L^p$-norm of the mean curvature vector is bounded for some $m \leq p\leq \infty$, and the ambient ... More

Degree of the divisor of solutions of a differential equation on a projective varietyJan 15 1999Using the data schemes developed by Arrondo-Sols-Speiser, we give a rigorous definition of algebraic differential equations on the complex projective space $P^n$. For an algebraic subvariety $S \subseteq P^n$, we present an explicit formula for the degree ... More

Aspherical Kähler Manifolds with Solvable Fundamental GroupJan 25 2006We survey recent developments which led to the proof of the Benson-Gordon conjecture on K\"ahler quotients of solvable Lie groups. In addition we prove that the Albanese morphism of a K\"ahler manifold which is a homotopy torus is a biholomorphic map. ... More

Flat nearly Kähler manifoldsOct 05 2006We classify flat strict nearly K\"ahler manifolds with (necessarily) indefinite metric. Any such manifold is locally the product of a flat pseudo-K\"ahler factor of maximal dimension and a strict flat nearly K\"ahler manifold of split signature $(2m,2m)$ ... More

Torelli theorem for moduli spaces of SL(r,C)-connections on a compact Riemann surfaceFeb 20 2007Sep 05 2008Let $X$ be any compact connected Riemann surface of genus $g \geq 3$. For any $r\geq 2$, let $M_X$ denote the moduli space of holomorphic $SL(r,C)$-connections over $X$. It is known that the biholomorphism class of the complex variety $M_X$ is independent ... 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

Tracer diffusion coefficients in a sheared inelastic Maxwell gasMay 05 2016We study the transport properties of an impurity in a sheared granular gas, in the framework of the Boltzmann equation for inelastic Maxwell models. We investigate here the impact of a nonequilibrium phase transition found in such systems, where the tracer ... More

Generalized transport coefficients for inelastic Maxwell mixtures under shear flowJun 29 2015Oct 22 2015The Boltzmann equation framework for inelastic Maxwell models is considered to determine the transport coefficients associated with the mass, momentum and heat fluxes of a granular binary mixture in spatially inhomogeneous states close to the simple shear ... More

Kinematic relative velocity with respect to stationary observers in Schwarzschild spacetimeMay 04 2012Dec 05 2012We study the kinematic relative velocity of general test particles with respect to stationary observers (using spherical coordinates) in Schwarzschild spacetime, obtaining that its modulus does not depend on the observer, unlike Fermi, spectroscopic and ... 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

On the rational homotopy type of a moduli space of vector bundles over a curveMay 19 2006Oct 23 2007We study the rational homotopy of the moduli space ${\mathcal N}_X$ of stable vector bundles of rank two and fixed determinant of odd degree over a compact connected Riemann surface $X$ of genus $g\geq 2$. The symplectic group $Aut(H_1(X,{\mathbb Z}))=Sp(2g,{\mathbb ... More

Parabolicity, Brownian escape rate and properness of self-similar solutions of the direct and inverse Mean Curvature FlowFeb 27 2018We study some potential theoretic properties of homothetic solitons $\Sigma^n$ of the MCF and the IMCF. Using the analysis of the extrinsic distance function defined on these submanifolds in $\mathbb{R}^{n+m}$, we observe similarities and differences ... More

A note on the computation of geometrically defined relative velocitiesSep 01 2011We discuss some aspects about the computation of kinematic, spectroscopic, Fermi and astrometric relative velocities that are geometrically defined in general relativity. Mainly, we state that kinematic and spectroscopic relative velocities only depend ... 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

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.

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

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

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

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

FJRW-Rings and Landau-Ginzburg Mirror Symmetry in Two DimensionsJun 04 2009For any non-degenerate, quasi-homogeneous hypersurface singularity W and an admissible group of diagonal symmetries G, Fan, Jarvis, and Ruan have constructed a cohomological field theory which is a candidate for the mathematical structure behind the Landau-Ginzburg ... More

Efficient Construction, Update and Downdate Of The Coefficients Of Interpolants Based On Polynomials Satisfying A Three-Term Recurrence RelationMar 24 2010Mar 30 2010In this paper, we consider methods to compute the coefficients of interpolants relative to a basis of polynomials satisfying a three-term recurrence relation. Two new algorithms are presented: the first constructs the coefficients of the interpolation ... 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

A Logical Charaterisation of Ordered DisjunctionNov 22 2010In this paper we consider a logical treatment for the ordered disjunction operator 'x' introduced by Brewka, Niemel\"a and Syrj\"anen in their Logic Programs with Ordered Disjunctions (LPOD). LPODs are used to represent preferences in logic programming ... More

Alternative Characterizations for Strong Equivalence of Logic ProgramsJul 09 2002In this work we present additional results related to the property of strong equivalence of logic programs. This property asserts that two programs share the same set of stable models, even under the addition of new rules. As shown in a recent work by ... More

On computational aspects of two classical knot invariantsJan 04 2007We look into computational aspects of two classical knot invariants. We look for ways of simplifying the computation of the coloring invariant and of the Alexander module. We support our ideas with explicit computations on pretzel knots.

Behavior of physical observables in the vicinity of the QCD critical end pointFeb 22 2007Using the SU(3) Nambu-Jona-Lasinio (NJL) model, we study the chiral phase transition at finite $T$ and $\mu_B$. Special attention is given to the QCD critical end point (CEP): the study of physical quantities, as the pressure, the entropy, the baryon ... More

KLR algebras and the branching rule I: the categorical Gelfand-Tsetlin basis in type AnSep 02 2013Feb 05 2014We define a quotient of the category of finitely generated modules over the cyclotomic Khovanov-Lauda-Rouquier algebra for type An and show it has a module category structure over a direct sum of certain cyclotomic Khovanov-Lauda-Rouquier algebras of ... More

Stable Determination of the Electromagnetic Coefficients by Boundary MeasurementsJan 26 2010Sep 06 2010The goal of this paper is to prove a stable determination of the coefficients for the time-harmonic Maxwell equations, in a Lipschitz domain, by boundary measurements.

Orientifold daughter of N=4 SYM and double-trace runningJul 15 2011We study the orientifold daughter of N=4 super Yang-Mills as a candidate non-supersymmetric large N conformal field theory. In a theory with vanishing single-trace beta functions that contains scalars in the adjoint representation, conformal invariance ... More

The Majorana spinor representation of the Poincare groupJul 07 2013Jul 28 2014There are Poincare group representations on complex Hilbert spaces, like the Dirac spinor field, or real Hilbert spaces, like the electromagnetic field tensor. The Majorana spinor is an element of a 4 dimensional real vector space. The Majorana spinor ... More

Atomic absorption and emission in non-product statesSep 14 2016The properties of non-product states, both (anti)symmetrized and entangled, have been extensively studied in the literature. In this paper, by extending previous partial results, we introduce a general framework to describe atomic absorption and emission ... More

Compositeness effects, Pauli's principle and entanglementSep 19 2006We analyse some compositeness effects and their relation with entanglement. We show that the purity of a composite system increases, in the sense of the expectation values of the deviation operators, with large values of the entanglement between the components ... More