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Representative Days for Expansion Decisions in Power SystemsJul 16 2019Short-term uncertainty should be properly modeled when the expansion planning problem in a power system is analyzed. Since the use of all available historical data may lead to intractability, clustering algorithms should be applied in order to reduce ... More

A Consensus-ADMM Approach for Strategic Generation Investment in Electricity MarketsNov 13 2017Oct 30 2018This paper addresses a multi-stage generation investment problem for a strategic (price-maker) power producer in electricity markets. This problem is exposed to different sources of uncertainty, including short-term operational (e.g., rivals' offering ... More

Robust Transmission Network Expansion Planning Problem Considering Storage UnitsJul 10 2019This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term uncertainties ... More

Bloch-Like Quantum Multiple Reflections of AtomsNov 14 1998We show that under certain circumstances an atom can follow an oscillatory motion in a periodic laser profile with a Gaussian envelope. These oscillations can be well explained by using a model of energetically forbidden spatial regions. The similarities ... More

The Evans-Krylov theorem for non local fully non linear equationsMay 08 2009We prove an interior regularity result for solutions of a purely integro-differential Bellman equation. This regularity is enough for the solutions to be understood in the classical sense. If we let the order of the equation approach two, we recover the ... More

An extension problem related to the fractional LaplacianAug 25 2006Feb 13 2007The operator square root of the Laplacian $(-\lap)^{1/2}$ can be obtained from the harmonic extension problem to the upper half space as the operator that maps the Dirichlet boundary condition to the Neumann condition. In this paper we obtain similar ... More

A non local Monge-Ampere equationOct 01 2014Jun 26 2015We introduce a non local analog to the Monge-Ampere operator and show some of its properties. We prove that a global problem involving this operator has C 1,1 solutions in the full space.

On the Evans-Krylov theoremMay 08 2009Sep 08 2010In this note, motivated by our work on integral fully nonlinear equations, we provide a variation of the proof of Evans-Krylov theorem about the interior $C^{2,\alpha}$ a priori estimate for concave fully nonlinear elliptic equations. The proof we present ... More

Regularity results for nonlocal equations by approximationFeb 23 2009Mar 30 2010In this paper we prove a nonlocal version of the Cordes-Niremberg estimates. We use it to extend our previous regularity results for fully nonlinear integro-differential equations to the variable coefficient case and several other settings where the equation ... More

Regularity theory for fully nonlinear integro-differential equationsSep 28 2007Apr 26 2008We consider nonlinear integro-differential equations, like the ones that arise from stochastic control problems with purely jump L\`evy processes. We obtain a nonlocal version of the ABP estimate, Harnack inequality, and interior $C^{1,\alpha}$ regularity ... More

On the rationality and holomorphy of Langlands-Shahidi L-functions over function fieldsMay 22 2015Sep 01 2015We prove three main results: all Langlands-Shahidi automorphic $L$-functions over function fields are rational; after twists by highly ramified characters our automorphic $L$-functions become polynomials; and, if $\pi$ is a globally generic cuspidal automorphic ... More

Finite-temperature properties of the two-orbital Anderson modelSep 20 1999The metallic phase of the two-orbital Anderson lattice is study in the limit of infinite spatial dimensions, where a second order perturbation treatment is used to solve the single-site problem. Using this approximation, in the Kondo regime, we find that ... More

Electronic Phase Separation in Manganite/Insulator InterfacesNov 22 2006By using a realist microscopic model, we study the electric and magnetic properties of the interface between a half metallic manganite and an insulator. We find that the lack of carriers at the interface debilitates the double exchange mechanism, weakening ... More

Effect of the Equivalence Between Topological and Electric Charge on the Magnetization of the Hall FerromagnetJul 01 1999The dependence on temperature of the spin magnetization of a two-dimensional electron gas at filling factor unity is studied. Using classical Monte Carlo simulations we analyze the effect that the equivalence between topological and electrical charge ... More

Magnetic Domain Walls in Double Exchange MaterialsMay 14 1999We study magnetic domain walls in double exchange materials. The domain wall width is proportional to the square root of the stiffness. In the double exchange model the stiffness has two terms: the kinetic energy and the Hartree term. The kinetic energy ... More

Phase Diagram of Half Doped ManganitesJan 03 2005Jan 04 2005An analysis of the properties of half-doped manganites is presented. We build up the phase diagram of the system combining a realistic calculation of the electronic properties and a mean field treatment of the temperature effects. The electronic structure ... More

All states, except the identity, are nonclassical: entanglement of joint statisticsJun 05 2016Simple measurement protocols reveal that every states is nonclassical excluding just the identity state. We show that this is a consequence of the fact that we can always find a joint measurement whose statistics is not separable.

Modeling stochastic Ca$^{2+}$ release from a cluster of IP$_3$-sensitive receptorsMay 31 2004Jul 29 2004We focused our attention on Ca$^{2+}$ release from the endoplasmic reticulum through a cluster of inositol 1,4,5-trisphosphate (IP$_3$) receptor channels. The random opening and closing of these receptors introduce stochastic effects that have been observed ... More

Anomalous massless modesDec 04 2014Some years ago Anton Yu. Alekseev et al. conjectured the existence of massless modes in the spectrum of excitations ("anomalous massless modes") building upon certain similarities between a spontaneous symmetry breaking and the interplay of axial and ... More

The Lagrangian cobordism group of $T^2$Oct 30 2013Nov 25 2014We compute the Lagrangian cobordism group of the standard symplectic 2-torus and prove that it is isomorphic to the Grothendieck group of its derived Fukaya category. The proofs use homological mirror symmetry for the 2-torus.

Leptogenesis in a prompt decay scenarioOct 20 2002Dec 15 2003Leptogenesis is studied within the seesaw neutrino mass model in a regime where all sterile neutrinos have prompt rather than delayed decays. It is shown that during neutrino thermal production lepton asymmetries are generated in both active lepton and ... More

On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusionNov 26 2009Sep 08 2010We prove that the Hamilton Jacobi equation for an arbitrary Hamiltonian $H$ (locally Lipschitz but not necessarily convex) and fractional diffusion of order one (critical) has classical $C^{1,\alpha}$ solutions. The proof is achieved using a new H\"older ... More

Some examples of F and D-term SUSY breaking modelsOct 02 2009Oct 10 2009In this paper we investigate the possibility of finding models that, in the global minimum, break SUSY by a combined F and D-term effect. We find that if the superpotential is a cubic polynomial in the fields and the Kahler potential is canonical this ... More

Eventual regularization for the slightly supercritical quasi-geostrophic equationDec 29 2008Sep 20 2009We prove that weak solutions of a slightly supercritical quasi-geostrophic equation become smooth for large time. We prove it using a De Giorgi type argument using ideas from a recent paper by Caffarelli and Vasseur.

Appendix to: The level 1 weight 2 case of Serre's conjecture - a strategy for a proofDec 08 2004In this appendix, we observe that our March preprint on Serre's conjecture was indeed correct: the only "missing argument" follows automatically from a result of Bockle and Ramakrishna. Thus, we get a proof of the level 1 weight 2 case of Serre's conjecture ... More

Existence of non-elliptic mod l Galois representations for every l >5Apr 02 2004For $\ell = 3$ and 5 it is known that every odd, irreducible, 2-dimensional representation of $\Gal(\bar{\Q}/\Q)$ with values in $\F_\ell$ and determinant equal to the cyclotomic character must "come from" the $\ell$-torsion points of an elliptic curve ... More

On the modularity of rigid Calabi-Yau threefolds: EpilogueAug 10 2009Jun 15 2010In a recent preprint of F. Gouvea and N. Yui (see arXiv:0902.1466) a detailed account is given of a patching argument due to Serre that proves that the modularity of all rigid Calabi-Yau threefolds defined over the rationals follows from Serre's modularity ... More

Artin groups of spherical type up to isomorphismOct 20 2003We prove that two Artin groups of spherical type are isomorphic if and only if their defining Coxeter graphs are the same.

The double obstacle problem on non divergence formSep 20 2017We study the regularity of the solution of the double obstacle problem form for fully non linear parabolic and elliptic operators. We show that when the obstacles are sufficiently regular the solution is $C^{1,\alpha}$ in the interior for both the parabolic ... More

On the question of embedding a semigroup into an idempotent generated oneMay 15 2012In this paper we present a new embedding of a semigroup into a semiband (idempotent-generated semigroup) of depth 4 (every element is the product of 4 idempotents) using a semidirect product construction. Our embedding does not assume that S is a monoid ... More

Oscillation properties of scalar conservation lawsAug 10 2017Jun 09 2018We obtain several new regularity results for solutions of scalar conservation laws satisfying the genuine nonlinearity condition. We prove that the solutions are continuous outside of the jump set, which is codimension one rectifiable. We show that the ... More

Spectral methods for orthogonal rational functionsApr 25 2007An operator theoretic approach to orthogonal rational functions on the unit circle with poles in its exterior is presented in this paper. This approach is based on the identification of a suitable matrix representation of the multiplication operator associated ... More

A family of varieties of pseudosemilatticesSep 27 2013In [3], a basis of identities {u_n = v_n | n\geq 2} for the variety SPS of all strict pseudosemilattices was determined. Each one of these identities u_n = v_n has a peculiar 2-content D_n. In this paper we study the varieties of pseudosemilattices defined ... More

Upper bounds for parabolic equations and the Landau equationNov 10 2015Aug 22 2016We consider a parabolic equation in nondivergence form, defined in the full space $[0,\infty) \times \mathbb R^d$, with a power nonlinearity as the right hand side. We obtain an upper bound for the solution in terms of a weighted control in $L^p$. This ... More

Solving diophantine equations x^4 + y^4 = q z^pApr 27 2003We give a method to solve generalized Fermat equations of type $x^4 + y^4 = q z^p$, for some prime values of $q$ and every prime $p$ bigger than 13. We illustrate the method by proving that there are no solutions for $q= 73, 89$ and 113.

Numerical Relativity: A reviewJun 22 2001Jun 29 2001Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of General Relativity, numerical models have proved extremely valuable for investigations of strong field ... More

Continuous Charge Modulated Diagonal Phase in ManganitesOct 15 2003We present a novel ground state that explain the continuous modulated charge diagonal order recently observed in manganese oxides, at hole densities $x$ larger than one half. In this diagonal phase the charge is modulated with a predominant Fourier component ... More

On the Quantum Homology of Real Lagrangians in Fano Toric ManifoldsAug 29 2011Oct 30 2013We study the Lagrangian quantum homology of real parts of Fano toric manifolds of minimal Chern number at least 2, using coefficients in a ring of Laurent polynomials over Z/2Z. We show that these Lagrangians are wide, in the sense that their quantum ... More

An Infra-Structure for Performance Estimation and Experimental Comparison of Predictive Models in RDec 01 2014Sep 07 2015This document describes an infra-structure provided by the R package performanceEstimation that allows to estimate the predictive performance of different approaches (workflows) to predictive tasks. The infra-structure is generic in the sense that it ... More

Sphaleron relaxation temperaturesApr 28 2003Dec 15 2003The transition of sphaleron processes from non-equilibrium to thermal equilibrium in the early Universe is examined in detail. The relations between the damping rates and frequencies of the weak and QCD sphaleron degeneracy parameters are determined in ... More

Recent Development on Collective Neutrino InteractionsDec 29 1999Quantum Field Theory is applied to study an electron plasma under an intense neutrino flux. The dispersion relation of the longitudinal waves is derived and the damping rate is calculated. It is shown that in the case of Supernova emission the neutrinos ... More

Plasma wave instabilities induced by neutrinosAug 02 1999Dec 29 1999Quantum field theory is applied to study the interaction of an electron plasma with an intense neutrino flux. A connection is established between the field theory results and classical kinetic theory. The dispersion relation and damping rate of the plasma ... More

Neutrino Oscillations: a source of Goldstone fieldsOct 23 1997Nov 30 1997It is proved that true Goldstone bosons develop coherent fields whenever the associated charges of the matter particles are not conserved in a macroscopic scale. The sources of the Goldstone fields are the time rates of quantum number violation. The case ... More

EntropyWalker, a Fast Algorithm for Small Community Detection in Large GraphsMay 10 2015This report presents a very simple algorithm for overlaping community-detection in large graphs under constraints such as the minimum and maximum number of members allowed. The algorithm is based on the simulation of random walks and measures the entropy ... More

Optical Properties Chern-Simons (3+1)D $θ$-systemsDec 17 2014Chern-Simons (CS) $\theta$-systems are described by a $\theta \int F\wedge F$ term in the action ($\theta$ is an adimensional parameter), which does not change field equations in the bulk, but affects the system behaviour when it is bounded. When two ... More

The covariant action of higher spin black holes in three dimensionsNov 04 2015May 18 2016We propose a set of boundary terms for higher spin theories in AdS$_3$ that lead to a well-defined variational principle compatible with Dirichlet boundary conditions for the metric and higher spin fields. These boundary terms are valid for higher spin ... More

Mapping class groups of non-orientable surfaces for beginnersOct 05 2014The present paper are the notes of a mini-course addressed mainly to non-experts. It purpose it to provide a first approach to the theory of mapping class groups of non-orientable surfaces.

STEREO: Search for sterile neutrinos at the ILLFeb 08 2017Feb 09 2017Recent studies have shown that there are discrepancies between observations and the theoretical predictions in some neutrino experiments at short distances. In the so-called "Reactor Antineutrino Anomaly" and in the "Gallium Anomaly", these differences ... More

Birman's conjecture for singular braids on closed surfacesJul 17 2003Let $M$ be a closed oriented surface of genus $g\ge 1$, let $B_n(M)$ be the braid group of $M$ on $n$ strings, and let $SB_n(M)$ be the corresponding singular braid monoid. Our purpose in this paper is to prove that the desingularization map $\eta: SB_n(M) ... More

Langlands Base Change for GL(2)Dec 10 2009Jun 16 2011Let F be a totally real Galois number field. We prove the existence of base change relative to the extension F/Q for every classical newform of odd level, under simple local assumptions on the field F.

How to facet a gemstone: from potential modularity to the proof of Serre's modularity conjectureDec 09 2007In this survey paper we present recent results obtained by Khare, Wintenberger and the author that have led to a proof of Serre's conjecture, such as existence of compatible families, modular upper bounds for universal deformation rings and existence ... More

On the level p weight 2 case of Serre's conjectureAug 27 2005Aug 30 2005This brief note only contains a modest contribution: we just fix some inaccuracies in the proof of the prime level weight 2 case of Serre's conjecture given in Khare's preprint "On Serre's modularity conjecture for 2-dimensional mod p representations ... More

Elliptic mod \ell Galois representations which are not minimally ellipticSep 07 2004Feb 01 2005In a recent preprint, F. Calegari has shown that for $\ell = 2, 3, 5$ and 7 there exist 2-dimensional surjective representations $\rho$ of $\Gal(\bar{\Q}/\Q)$ with values in $\F_\ell$ coming from the $\ell$-torsion points of an elliptic curve defined ... More

Computing the level of a modular rigid Calabi-Yau threefoldMar 30 2004In a previous article (a joint work with J. Manoharmayum) the modularity of a large class of rigid Calabi-Yau threefolds was established. To make that result more explicit, we recall (and re-prove) a result of Serre giving a bound for the conductor of ... More

Crossed product by actions of finite groups with the Rokhlin PropertyJan 27 2014We introduce and study a Rokhlin-type property for actions of finite groups on (not necessarily unital) C*-algebras. We show that the corresponding crossed product C*-algebras can be locally approximated by C*-algebras that are stably isomorphic to closed ... More

The level 1 case of Serre's conjecture revisitedMay 03 2007Feb 26 2008We prove existence of conjugate Galois representations, and we use it to derive a simple method of weight reduction. As a consequence, an alternative proof of the level 1 case of Serre's conjecture follows.

Breaking the weak Heisenberg limitJul 26 2016Mar 15 2017We provide a very simple case showing that the weak form of the Heisenberg limit can be beaten while the prior information is improved without bias.

All states are nonclassical: entanglement of joint statisticsJun 05 2016Nov 21 2016Joint measurements of two observables reveal that every state is nonclassical, with the only trivial exception of the state with density matrix proportional to the identity. This naturally includes states considered universally as classical-like, such ... More

Contradictory entropic joint uncertainty relations for complementary observables in two-level systemsJun 21 2013We show that different entropic measures of fluctuations lead to contradictory uncertainty relations for two complementary observables. We apply Tsallis and R\'{e}nyi entropies to the joint distribution emerging from a noisy simultaneous measurement of ... More

Signal detection without finite-energy limits to quantum resolutionMar 20 2012Jan 16 2013We show that there are extremely simple signal detection schemes where the finiteness of energy resources places no limit to the resolution. On the contrary, larger resolution can be obtained with lower energy. To this end the generator of the signal-dependent ... More

Contradictory uncertainty relationsApr 12 2011We show within a very simple framework that different measures of fluctuations lead to uncertainty relations resulting in contradictory conclusions. More specifically we focus on Tsallis and Renyi entropic uncertainty relations and we get that the minimum ... More

A New Topological Helly Theorem and some Transversals ResultsJul 08 2014We prove that for a topological space X with the property that $H_p(U)=0$ for $p\geq d$ and every open subset $U$ of $X$, a finite family of open sets in $X$ has nonempty intersection if for any subfamily of size $j$, $1\leq j \leq d+1$, the $(d-j)$-dimensional ... More

An asymptotically optimal Bernoulli factory for certain functions that can be expressed as power seriesDec 28 2016Dec 18 2018Given a sequence of independent Bernoulli variables with unknown parameter $p$, and a function $f$ expressed as a power series with non-negative coefficients that sum to at most $1$, an algorithm is presented that produces a Bernoulli variable with parameter ... More

Braid groups and Artin groupsNov 15 2007This article is a survey on the braid groups, the Artin groups, and the Garside groups. It is a presentation, accessible to non-experts, of various topological and algebraic aspects of these groups. It is also a report on three points of the theory: the ... More

Hermitian structures on six dimensional nilmanifoldsNov 11 2004Let (J,g) be a Hermitian structure on a compact nilmanifold M with invariant complex structure J and compatible metric g, which is not required to be invariant. We give classifications of 6-dimensional nilmanifolds M admitting strong K\"ahler with torsion, ... More

A new regularization mechanism for the Boltzmann equation without cut-offDec 15 2014Mar 31 2016We apply recent results on regularity for general integro-differential equations to derive a priori estimates in H\"older spaces for the space homogeneous Boltzmann equation in the non cut-off case. We also show an a priori estimate in $L^\infty$ which ... More

Concealed Quantum InformationAug 29 2007We study the teleportation scheme performed by means of a partially entangled pure state. We found that the information belonging to the quantum channel can be distributed into both the system of the transmitter and the system of the receiver. Thus, in ... More

Spinless Two-Band Model in Infinite DimensionsMar 26 1999A spinless two-band model is studied in infinite dimension limit. Starting from the atomic limit, the formal exact solution of the model is obtained by means a perturbative treatment of the hopping and hybridisation terms. The model is solved in closed ... More

Interlayer Magnetic Coupling and the Quantum Hall Effect in Multilayer Electron SystemsApr 28 1998We study the effect that the electron-electron interaction has on the properties of a multilayer electron system. We consider the case corresponding to filling factor unity in each layer. We find that as a function of the sample parameters the system ... More

Coherent tunneling and negative differential conductivity in graphene-hBN-graphene heterostructureMar 24 2014Mar 27 2014We address the tunneling current in a graphene-hBN-graphene heterostructure as function of the twisting between the crystals. The twisting induces a modulation of the hopping amplitude between the graphene layers, that provides the extra momentum necessary ... More

HOMFLYPT Skein module of singular linksAug 27 2009This paper is a presentation, where we compute the HOMFLYPT Skein module of singular links in the 3-sphere. This calculation is based on some results previously proved by Rabenda and the author on Markov traces on singular Hecke algebras, as well as on ... More

Quantum gravity corrections to particle interactionsMay 24 2002An heuristic semiclassical procedure that incorporates quantum gravity induced corrections in the description of photons and spin 1/2 fermions is reviewed. Such modifications are calculated in the framework of loop quantum gravity and they arise from ... More

An environmental dose experimentJun 11 2017Worldwide several radiation sources contribute to the delivered dose to the human population. This radiation also acts as natural background when detecting radiation, for instance from radioactive sources. In this work a medium-size plastic scintillation ... More

Status of the SoLid experiment: Search for sterile neutrinos at the SCK$\cdot$CEN BR2 reactorOct 22 2017The reactor antineutrino energy spectra and flux were reevaluated during the preparation of the recent experiments devoted to the measurement of $\theta_{13}$. Consequently some discrepancies between data and the theoretical predictions in reactor antineutrino ... More

On the rationality and holomorphy of Langlands-Shahidi L-functions over function fieldsMay 22 2015Nov 14 2016We prove three main results: all Langlands-Shahidi automorphic $L$-functions over function fields are rational; after twists by highly ramified characters our automorphic $L$-functions become polynomials; and, if $\pi$ is a globally generic cuspidal automorphic ... More

A general context for Goodwillie CalculusJan 13 2013The objective of this paper is to provide a fairly general model category context in which one can perform Goodwille Calculus. There are two main parts to the paper, the first establishing general conditions which guarantee the existence of universal ... More

Classification of Elliptic Line ScrollsSep 06 2000The classification of projective elliptic line scrolls with the description of their singular loci is given. In particular we recover Atiyah Theorem by using classical methods.

The initial value formulation of the $λ$-R modelSep 10 2018We apply the conformal method to solve the initial value formulation of general relativity to the $\lambda$-R model, a minimal, anisotropic modification of general relativity with a preferred foliation and two local degrees of freedom. We obtain a generalised ... More

A dispersive estimate for the multidimensional Burgers equationAug 02 2018We study the multi-dimensional Burgers equation $u_t + u u_{x_1} + \dots + u^d u_{x_d} = 0$. We prove that the $L^\infty$ norm of entropy solutions of this equation decays polynomially as $t \to \infty$ in terms of the $L^1$ norm of the initial data only. ... More

From braid groups to mapping class groupsDec 01 2004Mar 24 2005This paper is a survey of some properties of the braid groups and related groups that lead to questions on mapping class groups.

Estimation of a probability in inverse binomial sampling under normalized linear-linear and inverse-linear lossSep 10 2010Dec 18 2013Sequential estimation of the success probability $p$ in inverse binomial sampling is considered in this paper. For any estimator $\hat p$, its quality is measured by the risk associated with normalized loss functions of linear-linear or inverse-linear ... More

Regularity of solutions of the fractional porous medium flow with exponent 1/2Sep 29 2014We study the regularity of a porous medium equation with nonlocal diffusion effects given by an inverse fractional Laplacian operator. The precise model is $u_t=\nabla\cdot(u\nabla (-\Delta)^{-1/2}u).$ For definiteness, the problem is posed in $\{x\in\mathbb{R}^N, ... More

Hyperbolicity and recurrence in dynamical systems: a survey of recent resultsOct 17 2002We discuss selected topics of current research interest in the theory of dynamical systems, with emphasis on dimension theory, multifractal analysis, and quantitative recurrence. The topics include the quantitative versus the qualitative behavior of Poincar\'e ... More

Numerical Relativity: Status and ProspectsFeb 15 2002Feb 19 2002We are entering an era where the numerical construction of generic spacetimes is becoming a reality. The use of computer simulations, in principle, allows us to solve Einstein equations in their full generality and unravel important messages so far hidden ... More

Matching characteristic codes: exploiting two directionsNov 09 1999Combining incoming and outgoing characteristic formulations can provide numerical relativists with a natural implementation of Einstein's equations that better exploits the causal properties of the spacetime and gives access to both null infinity and ... More

A dissipative algorithm for wave-like equations in the characteristic formulationNov 30 1998We present a dissipative algorithm for solving nonlinear wave-like equations when the initial data is specified on characteristic surfaces. The dissipative properties built in this algorithm make it particularly useful when studying the highly nonlinear ... More

Insulator-to-metal crossover induced by local spin fluctuations in strongly correlated systemsNov 24 2000We study the simplified Hubbard (SH) model in the presence of a transverse field in the infinite dimension limit. The relevant one-particle Green's functions of the model are obtained by means a perturbative treatment of the hopping and of the transverse ... More

Divergence Measure Between Chaotic AttractorsNov 14 2000We propose a measure of divergence of probability distributions for quantifying the dissimilarity of two chaotic attractors. This measure is defined in terms of a generalized entropy. We illustrate our procedure by considering the effect of additive noise ... More

A Bayesian Statistical Approach for Inference on Static Origin-Destination MatricesDec 05 2010Nov 30 2011We address the problem of static OD matrix estimation from a formal statistical viewpoint. We adopt a novel Bayesian framework to develop a class of models that explicitly cast trip configurations in the study region as random variables. As a consequence, ... More

Classical Nambu-Goldstone fieldsAug 30 1999It is shown that a true Nambu-Goldstone (NG) boson develops a coherent long-range field whenever the charge associated with it that is carried by the other particles is not conserved in a macroscopic scale. The source of a NG field is the time rate of ... More

Supernova neutrino oscillations: Adiabaticity improvement by Majoron fieldsJun 18 1998Nov 10 1998If the lepton numbers are associated with global symmetries spontaneously broken at a scale below 1 TeV, neutrino oscillations in supernovae produce classic Majoron fields that perturb the neutrino propagation itself and may change the oscillation patterns ... More

Neutrino Oscillations: a source of Goldstone fields and consequences for SupernovaeNov 10 1998Jan 23 1999It is shown that true Nambu-Goldstone (NG) bosons develop coherent fields whenever the associated charges of the matter particles are not conserved in a macroscopic scale. The sources of the NG fields are the time rates of quantum number violation. If ... More

Does the velocity of light depend on the source movement?Jun 10 2016Jul 05 2016Data from spacecrafts tracking exhibit many anomalies that suggest the dependence of the speed of electromagnetic radiation with the motion of its source. This dependence is different from that predicted from emission theories that long ago have been ... More

To Teach Modal Logic: An Opinionated SurveyJul 16 2015I aim to promote an alternative agenda for teaching modal logic chiefly inspired by the relationships between modal logic and philosophy. The guiding idea for this proposal is a reappraisal of the interest of modal logic in philosophy, which do not stem ... More

Lagrangian antisurgeryNov 16 2015We describe an operation which, under certain conditions, modifies a Lagrangian submanifold $L$ such as to produce a new immersed Lagrangian submanifold $L'$, which as a smooth manifold is obtained by surgery along a framed sphere in $L$. Intuitively, ... More

Spin Orbit Coupling in Graphene Induced by Heavy Adatoms with Electrons in the Outer-Shell $p$ OrbitalsSep 14 2015Many of the exotic properties proposed to occur in graphene rely on the possibility of increasing the spin orbit coupling (SOC). By combining analytical and numerical tight binding calculations, in this work we study the SOC induced by heavy adatoms with ... More

$K(π,1)$ conjecture for Artin groupsNov 30 2012The purpose of this paper is to put together a large amount of results on the $K(\pi,1)$ conjecture for Artin groups, and to make them accessible to non-experts. Firstly, this is a survey, containing basic definitions, the main results, examples and an ... More

Magnetic Skyrmionic PolaronsOct 05 2017We study a two-dimensional electron gas exchanged-coupled to a system of classical magnetic ions. For large Rashba spin-orbit coupling a single electron can become self-trapped in a skyrmion spin texture self-induced in the magnetic ions system. This ... More

A variation on the homological nerve theoremSep 12 2016An equivalent but useful version on the Homological Nerve Theorem is proved.

On the global dynamics of periodic triangular mapsMay 31 2016This paper is an extension of an earlier paper that dealt with global dynamics in autonomous triangular maps. In the current paper, we extend the results on global dynamics of autonomous triangular maps to periodic non-autonomous triangular maps. We show ... More