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The wave equation for stiff strings and piano tuningMar 16 2016Jul 12 2016We study the wave equation for a string with stiffness. We solve the equation and provide a uniqueness theorem with suitable boundary conditions. For a pinned string we compute the spectrum, which is slightly inharmonic. Therefore, the widespread scale ... More

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

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 $c$.

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

Topology in the SU(N_f) chiral symmetry restored phase of unquenched QCD and axion cosmology IIApr 17 2017Jun 26 2017We investigate the physical consequences of the survival of the effects of the U(1)_A anomaly in the chiral symmetric phase of QCD, and show that the free energy density is a singular function of the quark mass m, in the chiral limit, and that the $\sigma$ ... More

Generic configuration stellarator based on several concentric Fourier windingsJan 12 2016Sep 06 2017Stellarators 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 $SL(2,C)$.

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

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

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

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

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

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

A contact geometry framework for field theories with dissipationMay 17 2019We develop a new geometric framework suitable for the treatment of field theories with dissipation. To this end we define the notion of $k$-contact structure. With it, we introduce the so-called $k$-contact Hamiltonian systems, which are a generalization ... 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

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

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

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

AdS gravity and glueball spectrumJun 21 2017The glueball spectrum has attracted much attention since the formulation of Quantum Chromodynamics. Different approaches give very different results for their masses. We revisit the problem from the perspective of the AdS/CFT correspondence.

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

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

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

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

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

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

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

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

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

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

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

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

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

Computer tools in particle physicsJul 22 2015May 18 2017The 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

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

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

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

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

Pseudo-Riemannian almost hypercomplex homogeneous spaces with irreducible isotropyJun 21 2016We 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.

A quark model analysis of the transversity distribution: Next to leading order evolutionJul 04 1997The feasibility of measuring chiral-odd parton distribution functions in polarized Drell-Yan and semi-inclusive experiments has renewed theoretical interest in their study. Not long ago we presented an analysis of the transversity distribution functions ... More

N-quantum approach to quantum field theory at finite T and $μ$: the NJL modelJul 14 1999Nov 12 1999We extend the N-quantum approach to quantum field theory to finite temperature ($T$) and chemical potential ($\mu$) and apply it to the NJL model. In this approach the Heisenberg fields are expressed using the Haag expansion while temperature and chemical ... 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

What deep learning can tell us about higher cognitive functions like mindreading?Mar 28 2018Can deep learning (DL) guide our understanding of computations happening in biological brain? We will first briefly consider how DL has contributed to the research on visual object recognition. In the main part we will assess whether DL could also help ... 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 .

Magnus expansion for a chirped quantum two-level systemJun 07 2018We derive a Magnus expansion for a frequency chirped quantum two-level system. We obtain a time-independent effective Hamiltonian which generates a stroboscopic time evolution. At lowest order the according dynamics is identical to results from using ... More

Pseudo-Riemannian almost quaternionic homogeneous spaces with irreducible isotropyJan 16 2017We show that pseudo-Riemannian almost quaternionic homogeneous spaces with index 4 and an H-irreducible isotropy group are locally isometric to a pseudo-Riemannian quaternionic K\"ahler symmetric space if the dimension is at least 16. In dimension 12 ... More

Scalar and Tensor Glueballs as GravitonsOct 25 2017Oct 17 2018The bottom-up approach of the AdS/CFT correspondence leads to the study of field equations in an $AdS_5$ background and from their solutions to the determination of the hadronic mass spectrum. We extend the study to the equations of $AdS_5$ gravitons ... More

Radially bounded solutions of a $k$-Hessian equation involving a weighted nonlinear sourceMar 23 2016We consider the problem \begin{equation}(1)\;\;\; \begin{cases} S_k(D^2u)= \lambda |x|^{\sigma} (1-u)^q &\mbox{in }\;\; B,\\ u <0 & \mbox{in }\;\; B,\\ u=0 &\mbox{on }\partial B, \end{cases} \end{equation} where $B$ denotes the unit ball in $\mathbb{R}^n$, ... More

Implementation of the Tangent Sphere and Cutting Plane Methods in the Quantitative Determination of Ligand Binding Site Burial Depths in Proteins Using FORTRAN 77/90 LanguageNov 30 2015Ligand burial depth is an indicator of protein flexibility, as the extent of receptor conformational change required to bind a ligand in general varies directly with its depth of burial. In a companion paper (Reyes, V.M. 2015a), we report on the Tangent ... More

Neutrino masses from R-parity violation with a $Z_3$ symmetryJul 27 2012Nov 29 2012We consider a supersymmetric model where the neutrino mass matrix arises from bilinear and trilinear R-parity violation, both restricted by a $Z_3$ flavor symmetry. Assuming flavor blind soft supersymmetry (SUSY) breaking conditions, corrected at low ... More

Remarks on scalar curvature of Yamabe solitonsAug 31 2011In this paper, we consider the scalar curvature of Yamabe solitons. In particular we show that, with natural conditions and non positive Ricci curvature, any complete Yamabe soliton has constant scalar curvature, namely, it is a Yamabe metric. We also ... More

Robust Independent Component Analysis by Iterative Maximization of the Kurtosis Contrast with Algebraic Optimal Step SizeFeb 19 2010Independent component analysis (ICA) aims at decomposing an observed random vector into statistically independent variables. Deflation-based implementations, such as the popular one-unit FastICA algorithm and its variants, extract the independent components ... 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

Rheological properties for inelastic Maxwell mixtures under shear flowNov 17 2009The Boltzmann equation for inelastic Maxwell models is considered to determine the rheological properties in a granular binary mixture in the simple shear flow state. The transport coefficients (shear viscosity and viscometric functions) are {\em exactly} ... 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

Transport coefficients for inelastic Maxwell mixturesApr 16 2004Oct 06 2004The Boltzmann equation for inelastic Maxwell models is used to determine the Navier-Stokes transport coefficients of a granular binary mixture in $d$ dimensions. The Chapman-Enskog method is applied to solve the Boltzmann equation for states near the ... More

Mass transport of driven inelastic Maxwell mixturesSep 17 2018Mass transport of a driven granular binary mixture is analyzed from the inelastic Boltzmann kinetic equation for inelastic Maxwell models (IMM). The mixture is driven by a thermostat constituted by two terms: a stochastic force and a drag force proportional ... More

OBJ2TEXT: Generating Visually Descriptive Language from Object LayoutsJul 22 2017Generating captions for images is a task that has recently received considerable attention. In this work we focus on caption generation for abstract scenes, or object layouts where the only information provided is a set of objects and their locations. ... 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

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

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