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Multivariate statistical modelling of future marine stormsMar 13 2019Extreme events, such as wave-storms, need to be characterized for coastal infrastructure design purposes. Such description should contain information on both the univariate behaviour and the joint-dependence of storm-variables. These two aspects have ... More

Constraint algorithm for singular field theories in the $k$-cosymplectic frameworkDec 20 2018The aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of $k$-cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of $k$-precosymplectic structure, ... More

On some aspects of the geometry of differential equations in physicsFeb 12 2004In this review paper, we consider three kinds of systems of differential equations, which are relevant in physics, control theory and other applications in engineering and applied mathematics; namely: Hamilton equations, singular differential equations, ... More

A note on the violation of the Einstein relation in a driven moderately dense granular gasFeb 07 2008Apr 25 2008The Einstein relation for a driven moderately dense granular gas in $d$-dimensions is analyzed in the context of the Enskog kinetic equation. The Enskog equation neglects velocity correlations but retains spatial correlations arising from volume exclusion ... More

Segregation in granular binary mixtures: Thermal diffusionMar 09 2006Jun 27 2006A recent solution of the inelastic Boltzmann equation that applies for strong dissipation and takes into account non-equipartition of energy is used to derive an explicit expression for the thermal diffusion factor. This parameter provides a criterion ... More

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

Transport coefficients for an inelastic gas around uniform shear flow: Linear stability analysisJun 01 2005Nov 09 2005The inelastic Boltzmann equation for a granular gas is applied to spatially inhomogeneous states close to the uniform shear flow. A normal solution is obtained via a Chapman-Enskog-like expansion around a local shear flow distribution. The heat and momentum ... More

Strongly Coupled QEDJul 29 1996A short review of some of the most relevant contributions to non-perturbative QED is done. Since a Gaussian behaviour of QED \`a la $\lambda\phi^4$ has been ruled out by the numerical data, I analyse the other two most reliable scenarios, i.e. triviality ... More

FlavorKit: a brief overviewOct 08 2014We give a brief overview of FlavorKit, a kit for the study of flavor observables beyond the standard model. In contrast to previous flavor codes, FlavorKit is not restricted to a single model, but can be used to obtain predictions for flavor observables ... More

The SL(2,C)-character varieties of torus knotsJan 13 2009Let $G$ 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 $SL(2,C)$.

To Split or Not to Split, That Is the Question in Some Shallow Water EquationsNov 28 2012In this paper we analyze the use of time splitting techniques for solving shallow water equation. We discuss some properties that these schemes should satisfy so that interactions between the source term and the shock waves are controlled. This paper ... More

Enskog kinetic theory for $d$-dimensional dense granular gasesApr 23 2012Nov 13 2012The goal of this note is to provide most of the technical details involved in the application of the Chapman-Enskog method to solve the revised Enskog equation to Navier-Stokes order. Explicit expressions for the transport coefficients and the cooling ... More

Transport coefficients of driven granular fluids at moderate volume fractionsJul 08 2011In a recent publication [Phys. Rev. E \textbf{83}, 011301 (2011)], Vollmayr--Lee \emph{et al.} have determined by computer simulations the thermal diffusivity and the longitudinal viscosity coefficients of a driven granular fluid of hard spheres at intermediate ... More

Segregation by thermal diffusion of an intruder in a moderately dense granular fluidFeb 16 2009A solution of the inelastic Enskog equation that goes beyond the weak dissipation limit and applies for moderate densities is used to determine the thermal diffusion factor of an intruder immersed in a dense granular gas under gravity. This factor provides ... More

Kinetic Theory for Binary Granular Mixtures at Low-DensityApr 10 2007Many features of granular media can be modelled as a fluid of hard spheres with {\em inelastic} collisions. Under rapid flow conditions, the macroscopic behavior of grains can be described through hydrodynamic equations. At low-density, a fundamental ... More

Mass transport of an impurity in a strongly sheared granular gasDec 20 2006Jan 16 2007Transport coefficients associated with the mass flux of an impurity immersed in a granular gas under simple shear flow are determined from the inelastic Boltzmann equation. A normal solution is obtained via a Chapman-Enskog-like expansion around a local ... More

Glueball enhancement by color de-confinementSep 21 2006High energy heavy ion collisions lead to the formation of a strong coupling de-confined phase in which the lightest glueballs are numerous and stable. We analyze how their properties manifest themselves in experimental spectra and show that they provide ... More

The scalar glueball spectrumJan 27 2004Jun 01 2005We discuss scenarios for scalar glueballs using arguments based on sum rules, spectral decomposition, the $\frac{1}{N_c}$ approximation, the scales of the strong interaction and the topology of the flux tubes. We analyze the phenomenological support of ... More

Nonlinear transport in inelastic Maxwell mixtures under simple shear flowNov 18 2002The Boltzmann equation for inelastic Maxwell models is used to analyze nonlinear transport in a granular binary mixture in the steady simple shear flow. Two different transport processes are studied. First, the rheological properties (shear and normal ... More

First quantum correction for the moduli space of stable bundles over a Riemann surfaceNov 11 1997We compute some Gromov-Witten invariants of the moduli space of odd degree rank two stable vector bundles over a Riemann surface of any genus. Next we find the first correction term for the quantum product of this moduli space and hence get the two leading ... More

Wall-crossing formulae for algebraic surfaces with $q>0$Sep 04 1997We extend the ideas of Friedman and Qin (Flips of moduli spaces and transition formulae for Donaldson polynomial invariants of rational surfaces) to find the wall-crossing formulae for the Donaldson invariants of algebraic surfaces with geometrical genus ... More

Donaldson invariants for connected sums along surfaces of genus 2Feb 07 1997We relate the Donaldson invariants of two four-manifolds $X_i$ with embedded Riemann surfaces of genus 2 and self-intersection zero with the invariants of the manifold X which appears as a connected sum along the surfaces. When the original manifolds ... More

Donaldson invariants for some glued manifoldsNov 23 1995We prove that every suitable $4$-manifold with $b_1=0$ and with an embedded Riemann surface of genus $2$ is of simple type. We find a relationship between the basic classes of two of these $4$-manifolds and those of the connected sum along the Riemann ... More

Constraints for Seiberg-Witten basic classes of glued manifoldsNov 23 1995We use rudiments of the Seiberg-Witten gluing theory for trivial circle bundles over a Riemann surface to relate de Seiberg-Witten basic classes of two $4$-manifolds containing Riemann surfaces of the same genus and self-intersection zero with those of ... More

The heavy top quark and right-handed currentsJul 28 1995Jan 06 1998We consider a modification of the standard electroweak model with the third quark generation and the $\tau$-lepton in vector representations of $SU(2)\otimes U(1)_Y$ electroweak symmetry. This is a new way to implement right-handed currents which are ... More

Concerning the vacuum velocity of gravitational wavesJun 27 1995It is pointed out that if gravitational interactions among ordinary bodies propagate in extra space-time dimensions the velocity of gravitational waves in vacuum could be different from the speed of light $c$.

Theory and phenomenology of lepton flavor violationNov 10 2014The field of lepton flavor violation will live an era of unprecedented developments in the near future, with dedicated experiments in different fronts. The observation of a flavor violating process involving charged leptons would be a clear evidence of ... More

Lepton flavor violation in SUSY left-right symmetric theoriesOct 05 2010The seesaw mechanism is the most popular explanation for the smallness of neutrino masses. However, its high scale makes direct tests impossible and only indirect signals at low energies are reachable for collider experiments. One of these indirect links ... More

A new construction of homogeneous quaternionic manifolds and related geometric structuresAug 13 1999Let V be the pseudo-Euclidean vector space of signature (p,q), p>2 and W a module over the even Clifford algebra Cl^0 (V). A homogeneous quaternionic manifold (M,Q) is constructed for any spin(V)-equivariant linear map \Pi : \wedge^2 W \to V. If the skew ... More

Fukaya Floer homology of $Σ\times S^1$ and applicationsApr 17 1998Jun 02 1999We determine the Fukaya Floer homology of the three-manifold which is the product of a Riemann surface of genus $g\geq 1$ times the circle. This sets up the groundwork for finding the structure of the Donaldson invariants of four-manifolds not of simple ... More

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

Flavor and Dark Matter connectionDec 07 2018In recent years, the LHCb collaboration has published results on the measurement of several observables associated to semileptonic $b \to s$ transitions. Interestingly, various deviations from their expected values in the Standard Model have been found, ... 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

Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmologySep 05 2016Sep 07 2016We investigate the topological properties of unquenched QCD on the basis of numerical results of simulations at fixed topological charge, recently reported by Borsanyi et al., and analytical predictions of the dilute instanton gas approximation. We demonstrate ... More

Glueball-Meson MixingMay 20 2015Calculations in unquenched QCD for the scalar glueball spectrum have confirmed previous results of Gluodynamics finding a glueball at ~ 1750 MeV. I analyze the implications of this discovery from the point of view of glueball-meson mixing at the light ... More

Are monopoles hiding in monopolium?Nov 28 2005Nov 30 2006Dirac showed that the existence of one magnetic pole in the universe could offer an explanation of the discrete nature of the electric charge. Magnetic poles appear naturally in most Grand Unified Theories. Their discovery would be of greatest importance ... More

On the Einstein relation in a heated granular gasMar 03 2004Apr 02 2004Recent computer simulation results [Barrat {\em et al.}, Physica A 334 (2004) 513] for granular mixtures subject to stochastic driving have shown the validity of the Einstein relation $\epsilon\equiv D/(T_0\lambda)=1$ between the diffusion $D$ and mobility ... More

Extra dimensions and color confinementJun 01 1995We consider an extension of the ordinary four dimensional Minkowski space by introducing additional dimensions which have their own Lorentz transformation. Particles can transform in a different way under each Lorentz group. We show that only quark interactions ... More

Ring structure of the Floer Cohomology of $Σ\times S^1$Oct 27 1997We give a presentation for the Floer cohomology ring $HF^*(\Sigma \times S^1)$, where $\Sigma$ is a Riemann surface of genus bigger than one, which coincides with the conjectural presentation for the quantum cohomology ring of the moduli space of flat ... More

Dark matter in a SUSY left-right modelNov 30 2011Supersymmetric left-right models are well motivated extensions of the Minimal Supersymmetric Standard Model since they automatically contain the ingredients to explain the observed neutrino masses and mixings. Here we study a SUSY model in which the left-right ... More

Computer tools in particle physicsJul 22 2015Nov 14 2016The 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

Sterile neutrinos and $R_K$Feb 22 2013We study the violation of lepton flavour universality in light meson decays due to the presence of non-zero mixings between the active neutrinos with new sterile states. The modified $W \ell \nu$ vertices, arising from a non-unitarity leptonic mixing ... 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.

Hodge polynomials of the moduli spaces of rank 3 pairsJun 05 2007Sep 16 2012Let $X$ be a smooth projective curve of genus $g\geq 2$ over the complex numbers. A holomorphic triple $(E_1,E_2,\phi)$ on $X$ consists of two holomorphic vector bundles $E_1$ and $E_2$ over $X$ and a holomorphic map $\phi:E_2 \to E_1$. There is a concept ... More

Topology in the SU(Nf) chiral symmetry restored phase of unquenched QCD and axion cosmologySep 05 2016Nov 15 2016We investigate the topological properties of unquenched $QCD$ on the basis of numerical results of simulations at fixed topological charge, recently reported by Borsanyi et al.. We demonstrate that their results for the mean value of the chiral condensate ... More

Confinement, the gluon propagator and the interquark potential for heavy mesonsMay 09 2012The interquark static potential for heavy mesons described by a massive One Gluon Exchange interaction obtained from the propagator of the truncated Dyson-Schwinger equations does not reproduced the expected Cornell potential. I show that no formulation ... More

Thermal diffusion segregation in granular binary mixtures described by the Enskog equationDec 20 2010Apr 06 2011Diffusion induced by a thermal gradient in a granular binary mixture is analyzed in the context of the (inelastic) Enskog equation. Although the Enskog equation neglects velocity correlations among particles which are about to collide, it retains spatial ... More

Hidden Dirac MonopolesSep 04 2007Dirac showed that the existence of one magnetic pole in the universe could offer an explanation of the discrete nature of the electric charge. Magnetic poles appear naturally in most grand unified theories. Their discovery would be of greatest importance ... More

Shear-rate dependent transport coefficients for inelastic Maxwell modelsMay 01 2007Jul 13 2007The Boltzmann equation for d-dimensional inelastic Maxwell models is considered to analyze transport properties in spatially inhomogeneous states close to the simple shear flow. A normal solution is obtained via a Chapman--Enskog--like expansion around ... More

Instabilities in a free granular fluid described by the Enskog equationFeb 21 2005Apr 25 2005A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is carried out to identify the conditions for stability as functions of the wave vector, the dissipation, and the density. In contrast to previous ... More

Neutrino-neutrino and neutrino-matter helicity flip interactionsJul 15 2001Jul 19 2001Taking into account that neutrinos are massive particles and that they are produced mainly as states of negative helicity, we show that the neutral and charged current interactions change these neutrinos into transversally polarized states. This implies ... More

Quark degrees of freedom in hadronic systemsOct 04 2000Quantum Chromodynamics (QCD) is the theory of the strong interactions. We review descriptions of hadronic systems motivated by QCD, analyzing the recent controversy between gluonic and bosonic degrees of freedom under the prism of the Cheshire Cat Principle. ... More

The role of the Polyakov loop in the Dirac operator of QCD at finite temperatureJan 14 1998We show how all the contributions to the determinant of the Dirac-Kogut-Susskind operator of QCD at finite temperature containing a net number of Polyakov loops become irrelevant in the infinite volume limit. We discuss also on two of the most interesting ... More

Quantum cohomology of the moduli space of stable bundles over a Riemann surfaceNov 24 1997We determine the quantum cohomology of the moduli space of odd degree rank two stable vector bundles over a Riemann surface $\Sigma$ of any genus. This work together with dg-ga/9710029 prove that this quantum cohomology is isomorphic to the instanton ... More

Homogeneous Special GeometryFeb 29 1996Motivated by the physical concept of special geometry two mathematical constructions are studied, which relate real hypersurfaces to tube domains and complex Lagrangean cones respectively. Me\-thods are developed for the classification of homogeneous ... More

Complex Probability Distributions: A Solution for the Long-Standing Problem of QCD at Finite DensityJul 29 1996We show how the prescription of taking the absolute value of the fermion determinant in the integration measure of QCD at finite density, forgetting its phase, reproduces the correct thermodynamical limit. This prescription, which applies also to other ... More

On Hyper Kähler manifolds associated to Lagrangean Kähler submanifolds of $T^*{\Bbb C}^n$Jul 05 1996For any Lagrangean K\"ahler submanifold $M \subset T^*{\Bbb C}^n$, there exists a canonical hyper K\"ahler metric on $T^*M$. A K\"ahler potential for this metric is given by the generalized Calabi Ansatz of the theoretical physicists Cecotti, Ferrara ... More

Phenomenology of supersymmetric neutrino mass modelsApr 05 2011The origin of neutrino masses is currently one of the most intriguing questions of particle physics and many extensions of the Standard Model have been proposed in that direction. This experimental evidence is a very robust indication of new physics, ... More

Spontaneous R-parity violation and the origin of neutrino massMar 09 2009We study the phenomenology of supersymmetric models that explain neutrino masses through the spontaneous breaking of R-parity, finding strong correlations between the decays of the lightest neutralino and the neutrino mixing angles. In addition, the existence ... More

Gromov-Witten invariants of the moduli of bundles on a surfaceOct 20 1999We produce an equality between the Gromov-Witten invariants of the moduli space M of rank two odd degree stable vector bundles over a Riemann surface $\Sigma$ and the Donaldson invariants of the algebraic surface $\Sigma \times P^1$. We discuss on to ... More

Basic classes for four-manifolds not of simple typeNov 13 1998Jun 01 1999We extend the notion of basic classes (for the Donaldson invariants) to 4-manifolds with $b^+>1$ which are (potentially) not of simple type or satisfy $b_1 >0$. We also give a structure theorem for the Donaldson invariants of 4-manifolds with $b^+>1$, ... More

Hodge structures of the moduli spaces of pairsApr 12 2009Let $X$ be a smooth projective curve of genus $g\geq 2$ over the complex numbers. Fix $n\geq 2$, and an integer $d$. A pair $(E,\phi)$ over $X$ consists of an algebraic vector bundle $E$ of rank $n$ and degree $d$ over $X$ and a section $\phi$. There ... More

Structural aspects of Hamilton-Jacobi theoryNov 01 2015Apr 08 2016In our previous papers [11,13] we showed that the Hamilton-Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dynamics on a lower-dimensional manifold. We also showed how constants of ... More

Multisymplectic structures and invariant tensors for Lie systemsAug 19 2018A Lie system is the non-autonomous system of differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dimensional Lie algebra of vector fields, a so-called Vessiot--Guldberg Lie algebra. This work ... More

Stability of freely cooling granular mixtures at moderate densitiesJan 14 2015Jul 20 2015The formation of velocity vortices and density clusters is an intriguing phenomenon of freely cooling granular flows. In this work, the critical length scale $L_c$ for the onset of instability is determined via stability analysis of the linearized Navier-Stokes ... More

Grad's moment method for a granular fluid at moderate densities. Navier-Stokes transport coefficientsDec 20 2012Mar 18 2013The Navier-Stokes transport coefficients of a granular dense fluid of smooth inelastic hard disks or spheres are explicitly determined by solving the inelastic Enskog equation by means of Grad's moment method. The transport coefficients are explicitly ... More

Brazil-nut effect versus reverse Brazil-nut effect in a moderately dense granular fluidMar 18 2008Sep 03 2008A new segregation criterion based on the inelastic Enskog kinetic equation is derived to show the transition between the Brazil-nut effect (BNE) and the reverse Brazil-nut effect (RBNE) by varying the different parameters of the system. In contrast to ... More

Mass transport in a strongly sheared binary mixture of Maxwell moleculesSep 07 2007Transport coefficients associated with the mass flux of a binary mixture of Maxwell molecules under uniform shear flow are exactly determined from the Boltzmann kinetic equation. A normal solution is obtained via a Chapman--Enskog-like expansion around ... More

Gluing formulae for Donaldson invariants for connected sums along surfacesFeb 06 1997We solve a conjecture of Morgan and Szabo (Embedded genus 2 surfaces in four-manifolds, Preprint) about the relationship of the basic classes of two four-manifolds $X_i$ of simple type with $b_1=0$, $b^+>1$, such that there are embedded Riemann surfaces ... More

Tracer diffusion in granular shear flowsApr 12 2002Jun 18 2002Tracer diffusion in a granular gas in simple shear flow is analyzed. The analysis is made from a perturbation solution of the Boltzmann kinetic equation through first order in the gradient of the mole fraction of tracer particles. The reference state ... More

Generic configuration stellarator based on several concentric Fourier windingsJan 12 2016Stellarators commonly comprise different sets of coils to produce diverse magnetic configurations. However, the diversity of possible configurations in a single device is usually rather limited. The achievement of a broad variety of magnetic configurations ... More

Lepton flavor violation beyond the MSSMMar 30 2015Apr 16 2015Most extensions of the Standard Model lepton sector predict large lepton flavor violating rates. Given the promising experimental perspectives for lepton flavor violation in the next few years, this generic expectation might offer a powerful indirect ... More

Charged lepton flavor violation beyond minimal supersymmetryOct 30 2013We discuss charged lepton flavor violation in supersymmetric models with extended leptonic sectors at low energies. Contrary to the usual high-scale realizations of the seesaw mechanism, these non-minimal supersymmetric models have new superfields and/or ... More

Higher type adjunction inequalities for Donaldson invariantsJan 11 1999Jun 01 1999We prove new adjunction inequalities for embedded surfaces in four-manifolds with non-negative self-intersection number by using the Donaldson invariants. These formulas are completely analogous to the ones obtained by Ozsv\'ath and Szab\'o using the ... More

Donaldson invariants of non-simple type 4-manifoldsSep 28 1999We find the shape of the Donaldson invariants of a 4-manifold with b_1=0 and b^+>1, which may be not of simple type. The invariants appear as the q^0 coefficient of a expression given in terms of modular forms (as was predicted by Moore and Witten). We ... 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

Spin(7)-instantons, stable bundles and the Bogomolov inequality for complex 4-toriFeb 12 2013Nov 25 2013Using gauge theory for Spin(7)-manifolds of dimension 8, we develop a procedure, called Spin-rotation, which transforms a (stable) holomorphic structure on a vector bundle over a complex torus of dimension 4 into a new holomorphic structure over a different ... More

Ion scattering on monopolesSep 12 2018Magnetic monopoles have been a subject of interest since Dirac established the relation between the existence of monopoles and charge quantization. The Dirac quantization condition bestows the monopole with a huge magnetic charge. We study the scattering ... 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

Homogeneous states in driven granular mixtures: Enskog kinetic theory versus molecular dynamics simulationsFeb 27 2014Apr 07 2014The homogeneous state of a binary mixture of smooth inelastic hard disks or spheres is analyzed. The mixture is driven by a thermostat composed by two terms: a stochastic force and a drag force proportional to the particle velocity. The combined action ... More

Helicity dependent parton distributionsSep 29 2011Oct 31 2011The helicity dependent parton distributions describe the number density of partons with given longitudinal momentum x and given polarization in a hadron polarized longitudinally with respect to its motion. After the discovery, more than 70 years ago, ... More

$η-η^\prime$ Mixing in the Flavor Basis and Large NMar 10 2010Apr 16 2010The mass matrix for $\eta-\eta^\prime$ is derived in the flavor basis at ${\cal O}(p^4)$ of the chiral Lagrangian using the large $N$ approximation. Under certain assumptions, the mixing angle $\phi=41.4^\circ$ and the decay constants ratio $f_K/f_\pi=1.15$ ... More

The 't Hooft interaction at finite T and $μ$: Beyond the mean field theoryJul 19 2000Dec 06 2000We use the N-quantum approach (NQA) to quantum field theory to construct a solution of the two flavor effective instanton induced `t Hooft interaction model valid for any temperature (T) and chemical potential ($\mu$) beyond the mean field theory. The ... More

Generalized parton distributions in constituent quark modelsJan 29 2002Oct 01 2002An approach is proposed to calculate Generalized Parton Distributions (GPDs) in a Constituent Quark Model (CQM) scenario. These off-diagonal distributions are obtained from momentum space wave functions to be evaluated in a given non relativistic or relativized ... More

The Two Faces of the Axial Anomaly and Proton SpinSep 02 1998Sep 22 2001This paper has been withdrawn by authors for significant modification.

Implementation of The Double-Centroid Reduced Representation of Proteins and its Application to the Prediction of Ligand Binding Sites and Protein-Protein Interaction Partners Using FORTRAN 77/90 LanguageNov 30 2015Transformation of protein 3D structures from their all-atom representation (AAR) to the double-centroid reduced representation (DCRR) is a prerequisite to the implementation of both the tetrahedral three-dimensional search motif (3D SM) method for predicting ... More

Implementation of the Spherical Coordinate Representation of Protein 3D Structures and its Applications Using FORTRAN 77/90 LanguageNov 30 2015We previously described the representation of protein 3D structures in spherical coordinates (rho, phi, theta) and two of its applications: separation of the outer layer (OL) from the inner core (IC) of proteins, and assessment of protein surface protrusions ... More

Lepton Flavor Violation in the Scotogenic ModelDec 10 2013Jan 28 2014We investigate lepton flavor violation in the scotogenic model proposed by Ma in which neutrinos acquire non-zero masses at the 1-loop level. Although some works exist in this direction, they have mainly focused on the radiative decay $\ell_\alpha \to ... More

Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equationsAug 17 2015Apr 14 2016In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which their corresponding solution to the three-dimensional Navier-Stokes equations are smooth on either $[0,T_1]$ or $ [T_2,\infty)$, ... More

Size distribution of circumstellar disks in the Trapezium clusterJun 24 2005In this paper we present results on the size distribution of circumstellar disks in the Trapezium cluster as measured from HST/WFPC2 data. Direct diameter measurements of a sample of 135 bright proplyds and 14 silhouettes disks suggest that there is a ... More

Shared randomness and device-independent dimension witnessingNov 03 2016It has been shown that the conditional probability distributions obtained by performing measurements on an uncharacterized physical system can be used to infer its underlying dimension in a device-independent way both in the classical and quantum setting. ... 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

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

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

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

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

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

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

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