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On the integration of fields and quanta in time dependent backgroundsDec 11 2013Field theories with global continuous symmetries may admit configurations in which time translation invariance is broken by the movement of homogeneous background fields evolving along the flat directions implied by the symmetries. In this context, the ... More

Gravitational Fragmentation in Galaxy Mergers: A Stability CriteriaFeb 06 2012Oct 04 2012We study the gravitational stability of gaseous streams in the complex environment of a galaxy merger, because mergers are known to be places of ongoing massive cluster formation and bursts of star formation. We find an analytic stability parameter for ... More

On the dynamics of fluctuations in time crystalsOct 08 2014We study the evolution of quantum fluctuations in systems known as time crystals, hypothetical systems for which the lowest energy state performs a periodic motion. We first discuss some general properties shared by time crystals, and deduce the effective ... More

The Why of the applicability of Statistical Physics to EconomicsSep 11 2006Apr 24 2007We analyze the relationships between game theory and quantum mechanics and the extensions to statistical physics and information theory. We use certain quantization relationships to assign quantum states to the strategies of a player. These quantum states ... More

Maximum Entropy, the Collective Welfare Principle and the Globalization ProcessJul 12 2007Although both systems analyzed are described through two theories apparently different (quantum mechanics and game theory) it is shown that both are analogous and thus exactly equivalents. The quantum analogue of the replicator dynamics is the von Neumann ... More

EGT through Quantum Mechanics & from Statistical Physics to EconomicsApr 30 2007By analyzing the relationships between a socioeconomical system modeled through evolutionary game theory and a physical system modeled through quantum mechanics we show how although both systems are described through two theories apparently different ... More

Noise induced inflationNov 19 1998We consider a closed Friedmann-Robertson-Walker Universe driven by the back reaction from a massless, non-conformally coupled quantum scalar field. We show that the back-reaction of the quantum field is able to drive the cosmological scale factor over ... More

Electron neutrino opacity in magnetised mediaNov 03 1997We study the effects of strong magnetic fields ($B> 10^{13}$~G) in the cross section for $\nu_e n\to p e$ scattering in the presence of a degenerate electron background. This can be relevant for the $\nu_e$ propagation in the proto-neutron star stage ... More

Relativistic fluctuating hydrodynamicsAug 20 1997Nov 18 1997We derive the formulae of fluctuating hydrodynamics appropiate to a relativistically consistent divergence type theory, obtaining Landau - Lifshitz fluctuating hydrodynamics as a limiting case.

Internal Fluctuations Effects on Fisher WavesMay 02 2001May 03 2001We study the diffusion-limited reaction A + A <-> A in different spatial dimensions to observe the effect of internal fluctuations on the interface between stable and unstable phases. We find that, similar to what has been observed in d=1 dimensions, ... More

A hydrodynamic approach to boost invariant free streamingFeb 21 2014Aug 10 2015We consider a family of exact boost invariant solutions of the transport equation for free streaming massless particles, where the one particle distribution function is defined in terms of a function of a single variable. The evolution of second and third ... More

Non abelian hydrodynamics and heavy ion collisionsNov 07 2013The goal of the relativistic heavy ion collisions (RHIC) program is to create a state of matter where color degrees of freedom are deconfined. The dynamics of matter in this state, in spite of the complexities of quantum chromodynamics, is largely determined ... More

An extension of the momentum transfer model to time-dependent pipe turbulenceSep 20 2011Jan 10 2012We analyze a possible extension of Gioia and Chakraborty's momentum transfer model of friction in steady turbulent pipe flows (Phys. Rev. Lett. 96, 044502 (2006)) to the case of time and/or space dependent turbulent flows. The end result is an expression ... More

Friction factor for turbulent flow in rough pipes from Heisenberg's closure hypothesisJan 02 2009Apr 17 2009We show that the main results of the analysis of the friction factor for turbulent pipe flow reported in G. Gioia and P. Chakraborty (GC), Phys. Rev. Lett. 96, 044502 (1996) can be recovered by assuming the Heisenberg closure hypothesis for the turbulent ... More

Collapse times for attractive Bose-Einstein condensatesAug 24 2007Oct 25 2007We argue that the main mechanism for condensate collapse in an attractive Bose-Einstein condensate is the loss of coherence between atoms a finite distance apart, rather than the growth of the occupation number in noncondensate modes. Since the former ... More

Quantum Games and the Relationships between Quantum Mechanics and Game TheoryMar 03 2008Quantum games have proposed a new point of view for the solution of the classical problems and dilemmas in game theory. Certain quantization relationships can be proposed with the objective that a game can be generalized into a quantum domain where the ... More

Quantum Games EntropyJun 06 2006Jul 13 2007We propose the study of quantum games from the point of view of quantum information theory and statistical mechanics. Every game can be described by a density operator, the von Neumann entropy and the quantum replicator dynamics. There exists a strong ... More

Common Markets, Strong Currencies & the Collective WelfareOct 05 2007Mar 03 2008The so called "globalization" process (i.e. the inexorable integration of markets, currencies, nation-states, technologies and the intensification of consciousness of the world as a whole) has a behavior exactly equivalent to a system that is tending ... More

Introduction to the study of entropy in Quantum GamesApr 24 2006Apr 24 2007The present work is an introductory study about entropy its properties and its role in quantum information theory. In a next work, we will use these results to the analysis of a quantum game described by a density operator and with its entropy equal to ... More

Chaos, decoherence and quantum cosmologyMay 08 2012In this topical review we discuss the connections between chaos, decoherence and quantum cosmology. We understand chaos as classical chaos in systems with a finite number of degrees of freedom, decoherence as environment induced decoherence and quantum ... More

Drag reduction by polymer additives from turbulent spectraMay 03 2010Nov 01 2010We extend the analysis of the friction factor for turbulent pipe flow reported by G. Gioia, P. Chakraborty and N. Goldenfeld (GCG) (G. Gioia and P. Chakraborty, Phys. Rev. Lett. 96, 044502 (2006), N. Goldenfeld, Phys. Rev. Lett. 96, 044503 (2006)) to ... More

Fourth order full quantum correlations from a Langevin-Schwinger-Dyson equationOct 17 2008May 14 2009It is well known that some quantum and statistical fluctuations of a quantum field may be recovered by adding suitable stochastic sources to the mean field equations derived from the Schwinger-Keldysh (Closed-time-path) effective action. In this note ... More

Analog cosmology with spinor BECsNov 22 2011Aug 09 2012We show that the properties of spinor Bose-Einstein condensates allow us to build an analog Taub (axisymmetric Bianchi IX) Universe. We shall develop this proposal on the example of a rubidium condensate, where the relevant experiments are well within ... More

Neutrinos in physics and astrophysicsOct 18 1999An elementary general overview of the neutrino physics and astrophysics is given. We start by a historical account of the development of our understanding of neutrinos and how they helped to unravel the structure of the Standard Model. We discuss why ... More

Bin Size Independence in Intra-day Seasonalities for Relative PricesJan 21 2015In this paper we perform a statistical analysis over the returns and relative prices of the CAC $40$ and the S&P $500$ with the purpose of analysing the intra-day seasonalities of single and cross-sectional stock dynamics. In order to do that, we characterized ... More

The Minority Game: an introductory guideFeb 26 2004The Minority Game is a simple model for the collective behavior of agents in an idealized situation where they have to compete through adaptation for a finite resource. This review summarizes the statistical mechanics community efforts to clear up and ... More

Hybrid method for simulating front propagation in reaction-diffusion systemsFeb 16 2004We study the propagation of pulled fronts in the $A <-> \leftrightarrow A+A$ microscopic reaction-diffusion process using Monte Carlo (MC) simulations. In the mean field approximation the process is described by the deterministic Fisher-Kolmogorov-Petrovsky-Piscounov ... More

Emergence of pulled fronts in fermionic microscopic particle modelsJul 16 2003We study the emergence and dynamics of pulled fronts described by the Fisher-Kolmogorov-Petrovsky-Piscounov (FKPP) equation in the microscopic reaction-diffusion process A + A <-> A$ on the lattice when only a particle is allowed per site. To this end ... More

Neutrino AstrophysicsNov 30 2000Dec 04 2000A general overview of neutrino physics and astrophysics is given, starting with a historical account of the development of our understanding of neutrinos and how they helped to unravel the structure of the Standard Model. We discuss why it is so important ... More

Astroparticle Theory: Some New Insights into High Energy Cosmic RaysOct 14 2003Some new developments obtained in the last few years concerning the propagation of high energy cosmic rays are discussed. In particular, it is shown how the inclusion of drift effects in the transport diffusion equations leads naturally to an explanation ... More

Quantum EconophysicsSep 28 2006Apr 30 2007The relationships between game theory and quantum mechanics let us propose certain quantization relationships through which we could describe and understand not only quantum but also classical, evolutionary and the biological systems that were described ... More

Quantum Replicator DynamicsOct 31 2005Jul 13 2007We propose quantization relationships which would let us describe and solution problems originated by conflicting or cooperative behaviors among the members of a system from the point of view of quantum mechanical interactions. The quantum analogue of ... More

Not quite free shortcuts to adiabaticityJul 02 2018Aug 28 2018Given the increasing use of shotcuts to adiabaticity (STA) to optimize power and efficiency of quantum heat engines, it becomes a relevant question if there are any theoretical limits to their application. We argue that quantum fluctuations in the control ... More

Numerical schemes for continuum models of reaction-diffusion systems subject to internal noiseApr 26 2004Aug 06 2004We present new numerical schemes to integrate stochastic partial differential equations which describe the spatio-temporal dynamics of reaction-diffusion (RD) problems under the effect of internal fluctuations. The schemes conserve the nonnegativity of ... More

Kadanoff-Baym equations for near-Kolmogorov turbulenceAug 27 2009We use the 2 particle irreducible Schwinger-Keldysh effective action to set up consistent equations for the velocity and pressure correlations of a turbulent flow. We use these equations to derive the Kadanoff-Baym equations describing the relaxation ... More

Beyond the Standard ModelDec 28 2001May 07 2007The successes and shortcomings of the Standard Model are reviewed, with emphasis on the reasons motivating the need to extend it. The basic elements of grand unification and supersymmetry are described, exploring their phenomenological implications for ... More

$Ξ^{-}$ and $\barΞ^{+}$ baryon production in Au+Au collisions at $\sqrt{s_{NN}}=130$ GeVOct 25 2002We report preliminary results on the centrality dependence of the $\Xi^{-}$ and $\bar{\Xi}^{+}$ production at mid-rapidity in $\sqrt{s_{NN}}=130$ GeV Au+Au collisions from the STAR experiment. For the most central data the obtained yields suggest a saturation ... More

On Bayesian supremum norm contraction ratesApr 05 2013Oct 14 2014Building on ideas from Castillo and Nickl [Ann. Statist. 41 (2013) 1999-2028], a method is provided to study nonparametric Bayesian posterior convergence rates when "strong" measures of distances, such as the sup-norm, are considered. In particular, we ... More

Semi-parametric second-order efficient estimation of the period of a signalNov 26 2007This paper is concerned with the estimation of the period of an unknown periodic function in Gaussian white noise. A class of estimators of the period is constructed by means of a penalized maximum likelihood method. A second-order asymptotic expansion ... More

Distribution of the trace of Frobenius on average for rank 2 Drinfeld modulesMar 27 2016Let $q$ be an odd prime power, $a \in \mathbb{F}_q[T]$ and $u \in \mathbb{F}_q^*$. Provided $q \geq 17$, we compute the average number of primes $p$ for which the characteristic polynomial of the Frobenius at $p$ is $X^2 - aX + up$ over a family of rank ... More

Lower bounds for posterior rates with Gaussian process priorsJul 17 2008Dec 22 2008Upper bounds for rates of convergence of posterior distributions associated to Gaussian process priors are obtained by van der Vaart and van Zanten in [14] and expressed in terms of a concentration function involving the Reproducing Kernel Hilbert Space ... More

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets"Sep 07 2015Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Discreteness Effects in Population DynamicsDec 04 2015Mar 11 2016We analyse numerically the effects of small population size in the initial transient regime of a simple example population dynamics. These effects play an important role for the numerical determination of large deviation functions of additive observables ... More

Supernovae as laboratories for neutrino propertiesDec 08 2009The present thesis aims to be an analysis of various aspects of neutrino phenomenology in two different scenarios. On the one hand, we address the study of non-standard neutrino interactions (NSI) in accelerator and reactor terrestrial experiments. On ... More

Spectral properties of Landau Hamiltonians with non-local potentialsJan 14 2019We consider the Landau Hamiltonian $H_0$, self-adjoint in $L^2({\mathbb R}^2)$, whose spectrum consists of an arithmetic progression of infinitely degenerate positive eigenvalues $\Lambda_q$, $q \in {\mathbb Z}_+$. We perturb $H_0$ by a non-local potential ... More

On the capture rates of big bang neutrinos by nuclei within the Dirac and Majorana hypothesesOct 01 2018The capture rates of non-relativistic neutrinos on beta decaying nuclei depends on whether their mass is Dirac or Majorana. It is known that for relic neutrinos from the big-bang, and within minimal assumptions, the rate is a factor two larger in the ... More

The role of disease cycles in the endemicity of infectious diseasesFeb 08 2017Vector-borne diseases with reservoir cycles are complex to understand because new infections come from contacts of the vector with humans and different reservoirs. In this scenario, the basic reproductive number $\mathcal{R}^h_0$ of the system where the ... More

Lagrangian Grassmannian in Infinite DimensionAug 16 2008Given a complex structure $J$ on a real (finite or infinite dimensional) Hilbert space $H$, we study the geometry of the Lagrangian Grassmannian $\Lambda(H)$ of $H$, i.e. the set of closed linear subspaces $L\subset H$ such that $$J(L)=L^\perp.$$ The ... More

Kicked neutron stars and microlensingSep 02 1996Due to the large kick velocities with which neutron stars are born in supernovae explosions, their spatial distribution is more extended than that of their progenitor stars. The large scale height of the neutron stars above the disk plane makes them potential ... More

Erratum : Existence of 3D Skyrmions. Complete versionJan 25 2004This erratum corrects the proof given in \cite{E1,E2} about the existence of $ 3D $ Skyrmions. This is done by changing the arguments of the proof while remaining in the same framework of concentration-compactness. Note however that the use of this method ... More

Macroscopic description of preheatingSep 16 2003Sep 17 2003We present a macroscopic model of the decay of a coherent classical scalar field into statistical fluctuations through the process of parametric amplification. We solve the field theory (henceforth,"microscopic") model to leading order in a Large N expansion, ... More

Relativistic theories of interacting fields and fluidsDec 29 2000Mar 19 2001We investigate divergence-type theories (DTT) describing the dissipative interaction between a field and a fluid. We look for theories which, under equilibrium conditions, reduce to the theory of a Klein-Gordon scalar field and a perfect fluid. We show ... More

Analytical results for a continuum model of crystalline tensionless surfaces. I. Variational mean field studyDec 01 1999We study analytically the equilibrium and near-equilibrium properties of a model of surfaces relaxing via linear surface diffusion and subject to a lattice potential. We employ the variational mean field formalism introduced by Saito for the study of ... More

Neutrino MassesDec 12 1994This is a review for Reports of Progress in Physics. After an introduction we start by explaining the different neutrino masses corresponding to different types of neutrinos, Dirac or Majorana, in section 2. In section 3 we discuss the main elementary ... More

Progress in high-energy cosmic ray physicsOct 30 2017We review some of the recent progress in our knowledge about high-energy cosmic rays, with an emphasis on the interpretation of the different observational results. We discuss the effects that are relevant to shape the cosmic ray spectrum and the explanations ... More

Selecting interesting zones at Aburrá valley and St. Nicholas Valley's using the identification method of Density-based Clustering and Improved Nearest Neighbor applied on social networksJun 09 2014Nov 15 2016More than ever, social networks have become an important place in the interaction and behaviour of humans in the last decade. This valuable position makes it imperative to analyze different aspects of everyday life and science in general. This paper illustrates ... More

Decoherence in the cosmic background radiationMar 01 2011Apr 28 2011In this paper we analyze the possibility of detecting nontrivial quantum phenomena in observations of the temperature anisotropy of the cosmic background radiation (CBR), for example, if the Universe could be found in a coherent superposition of two states ... More

Smooth paths of conditional expectationsOct 06 2010Let A be a von Neumann algebra with a finite trace $\tau$, represented in $H=L^2(A,\tau)$, and let $B_t\subset A$ be sub-algebras, for $t$ in an interval $I$. Let $E_t:A\to B_t$ be the unique $\tau$-preserving conditional expectation. We say that the ... More

Primordial Magnetic Field Amplification from Turbulent ReheatingApr 12 2010Jul 05 2010We analyze the possibility of primordial magnetic field amplification by a stochastic large scale kinematic dynamo during reheating. We consider a charged scalar field minimally coupled to gravity. During inflation this field is assumed to be in its vacuum ... More

Quantum Games EntropyJun 06 2006Dec 08 2016We propose the study of quantum games from the point of view of quantum information theory and statistical mechanics. Every game can be described by a density operator, the von Neumann entropy and the quantum replicator dynamics. There exists a strong ... More

Real time approach to tunneling in open quantum systems: decoherence and anomalous diffusionMar 06 2006Macroscopic quantum tunneling is described using the master equation for the reduced Wigner function of an open quantum system at zero temperature. Our model consists of a particle trapped in a cubic potential interacting with an environment characterized ... More

A Hydrodynamic Approach to the Study of Anisotropic Instabilities in Dissipative Relativistic PlasmasFeb 04 2016Sep 29 2016We develop a purely hydrodynamic formalism to describe collisional, anisotropic instabilities in a relativistic plasma, that are usually described with kinetic theory tools. Our main motivation is the fact that coarse-grained models of high particle number ... More

Selecting interesting zones at Aburrá valley and valley of St. Nicholas Valley's using the identification method of Density-based Clustering and Improved Nearest Neighbor applied on social networksJun 09 2014More than ever, social networks have become an important place in the interaction and behaviour of humans in the last decade. This valuable position, makes it imperative analyze different aspects of everyday life and science in general. In this article ... More

Magnetic diffusion effects on the Ultra-High Energy Cosmic Ray spectrum and compositionMay 28 2013We discuss the effects of diffusion of high energy cosmic rays in turbulent extra-galactic magnetic fields. We find an approximate expression for the low energy suppression of the spectrum of the different mass components (with charge $Z$) in the case ... More

Renormalization group and nonequilibrium action in stochastic field theoryMar 27 2002Apr 02 2002We investigate the renormalization group approach to nonequilibrium field theory. We show that it is possible to derive nontrivial renormalization group flow from iterative coarse graining of a closed-time-path action. This renormalization group is different ... More

Gravitational lensing as folds in the skyOct 12 1999Nov 18 1999We revisit the gravitational lensing phenomenon using a new visualization technique. It consists in projecting the observers sky into the source plane, what gives rise to a folded and stretched surface. This provides a clear graphical tool to visualize ... More

Dynamics of defect formationNov 03 1998A dynamic symmetry-breaking transition with noise and inertia is analyzed. Exact solution of the linearized equation that describes the critical region allows precise calculation (exponent and prefactor) of the number of defects produced as a function ... More

Noise Effects on Synchronized Globally Coupled OscillatorsFeb 27 1998The synchronized phase of globally coupled nonlinear oscillators subject to noise fluctuations is studied by means of a new analytical approach able to tackle general couplings, nonlinearities, and noise temporal correlations. Our results show that the ... More

Reheating and turbulenceOct 17 2001Jan 17 2002We show that the ''turbulent'' particle spectra found in numerical simulations of the behavior of matter fields during reheating admit a simple interpretation in terms of hydrodynamic models of the reheating period. We predict a particle number spectrum ... More

Uncertainty principle and geometry of the infinite Grassmann manifoldJan 13 2017We study the pairs of projections $$ P_If=\chi_If ,\ \ Q_Jf= \left(\chi_J \hat{f}\right)\check{\ } , \ \ f\in L^2(\mathbb{R}^n), $$ where $I, J\subset \mathbb{R}^n$ are sets of finite Lebesgue measure, $\chi_I, \chi_J$ denote the corresponding characteristic ... More

Schmidt decomposable products of projectionsJun 15 2017We characterize operators $T=PQ$ ($P,Q$ orthogonal projections in a Hilbert space $H$) which have a singular value decomposition. A spatial characterizations is given: this condition occurs if and only if there exist orthonormal bases $\{\psi_n\}$ of ... More

Primordial Magnetic Helicity from Stochastic Electric CurrentsMar 05 2014We study the possibility that primordial magnetic fields generated in the transition between inflation and reheating posses magnetic helicity, $H_M$. The fields are induced by stochastic currents of scalar charged particles created during the mentioned ... More

Quantum Replicator DynamicsOct 31 2005Dec 08 2016We propose quantization relationships which would let us describe and solution problems originated by conflicting or cooperative behaviors among the members of a system from the point of view of quantum mechanical interactions. The quantum analogue of ... More

Diffusion and drift of cosmic rays in highly turbulent magnetic fieldsAug 03 2004We determine numerically the parallel, perpendicular, and antisymmetric diffusion coefficients for charged particles propagating in highly turbulent magnetic fields, by means of extensive Monte Carlo simulations. We propose simple expressions, given in ... More

Homotopy of vector statesAug 17 2000Let $B$ be a C$^*$-algebra and $X$ a C$^*$ Hilbert $B$-module. If $p\in B$ is a projection, denote by $S_p =\{x\in X : < x,x> =p\}$, the $p$-sphere of $X$. For $\phi$ a state of $B$ with support $p$ in $B$ and $x\in S_p$, consider the state $\phi_x$ of ... More

Maximum Entropy, the Collective Welfare Principle and the Globalization ProcessJul 12 2007Dec 08 2016Although both systems analyzed are described through two theories apparently different (quantum mechanics and game theory) it is shown that both are analogous and thus exactly equivalents. The quantum analogue of the replicator dynamics is the von Neumann ... More

Dynamic renormalization group study of a generalized continuum model of crystalline surfacesOct 25 2001We apply the Nozieres-Gallet dynamic renormalization group (RG) scheme to a continuum equilibrium model of a d-dimensional surface relaxing by linear surface tension and linear surface diffusion, and which is subject to a lattice potential favoring discrete ... More

Modeling sexual selection in Túngara frog and rationality of mate choiceOct 13 2016The males of the specie of frogs Engystomops pustulosus produce simple and com- plex calls to lure females, as a way of Intersexual selection. Complex calls lead males to a greater reproductive success than simple calls do. However, the complex calls ... More

A Hydrodynamic Approach to the Study of Anisotropic Instabilities in Dissipative Relativistic PlasmasFeb 04 2016Nov 22 2016We develop a purely hydrodynamic formalism to describe collisional, anisotropic instabilities in a relativistic plasma, that are usually described with kinetic theory tools. Our main motivation is the fact that coarse-grained models of high particle number ... More

Rigidity dependent knee and cosmic ray induced high energy neutrino fluxesJun 30 2003Scenarios in which the knee of the cosmic ray spectrum depends on the particle rigidities usually predict that the cosmic ray composition becomes heavier above the knee and have associated a change in the spectral slope of each individual nuclear component ... More

Defect formation in the Swift-Hohenberg equationFeb 01 2003We study numerically and analytically the dynamics of defect formation during a finite-time quench of the two dimensional Swift-Hohenberg (SH) model of Rayleigh-Benard convection. We find that the Kibble-Zurek picture of defect formation can be applied ... More

Social Networks and Stable Matchings in the Job MarketOct 06 2009For most people, social contacts play an integral part in finding a new job. As observed by Granovetter's seminal study, the proportion of jobs obtained through social contacts is usually large compared to those obtained through postings or agencies. ... More

Inflation and nonequilibrium renormalization groupNov 27 2006We study de spectrum of primordial fluctuations and the scale dependence of the inflaton spectral index due to self-interactions of the field. We compute the spectrum of fluctuations by applying nonequilibrium renormalization group techniques.

A new method to search for a cosmic ray dipole anisotropyApr 28 2005We propose a new method to determine the dipole (and quadrupole) component of a distribution of cosmic ray arrival directions, which can be applied when there is partial sky coverage and/or inhomogeneous exposure. In its simplest version it requires that ... More

On quantum symmetries of the non--ADE graph F4Sep 20 2004Jan 07 2005We describe quantum symmetries associated with the F4 Dynkin diagram. Our study stems from an analysis of the (Ocneanu) modular splitting equation applied to a partition function which is invariant under a particular congruence subgroup of the modular ... More

Causal Relativistic Hydrodynamics of Conformal Fermi-Dirac GasesJan 08 2017Mar 21 2017In this paper we address the derivation of causal relativistic hydrodynamics, formulated within the framework of Divergence Type Theories (DTTs), from kinetic theory for spinless particles obeying Fermi-Dirac statistics. The approach leads to expressions ... More

A functional renormalization method for wave propagation in random mediaDec 12 2016We develop the exact renormalization group approach as a way to evaluate the effective speed of propagation of a scalar wave in a medium with random inhomogeneities. We use the Martin-Siggia-Rose formalism to translate the problem into a non equilibrium ... More

Wave propagation in non Gaussian random mediaJun 09 2014We develop a compact perturbative series for accoustic wave propagation in a medium with a non Gaussian stochastic speed of sound. We use Martin - Siggia and Rose auxiliary field techniques to render the classical wave propagation problem into a "quantum" ... More

Connes' metric for states in group algebrasMay 18 2008In this article we follow the main idea of A. Connes for the construction of a metric in the state space of a C*-algebra. We focus in the reduced algebra of a discrete group $\Gamma$, and prove some equivalences and relations between two central objects ... More

Quantum Games and the Relationships between Quantum Mechanics and Game TheoryMar 03 2008Dec 08 2016Quantum games have proposed a new point of view for the solution of the classical problems and dilemmas in game theory. Certain quantization relationships can be proposed with the objective that a game can be generalized into a quantum domain where the ... More

Common Markets, Strong Currencies & the Collective WelfareOct 05 2007Dec 08 2016The so called "globalization" process (i.e. the inexorable integration of markets, currencies, nation-states, technologies and the intensification of consciousness of the world as a whole) has a behavior exactly equivalent to a system that is tending ... More

Quantum EconophysicsSep 28 2006Dec 08 2016The relationships between game theory and quantum mechanics let us propose certain quantization relationships through which we could describe and understand not only quantum but also classical, evolutionary and the biological systems that were described ... More

Constraining f(R) theories with the energy conditionsAug 15 2006A new method to constrain gravitational theories depending on the Ricci scalar is presented. It is based on the weak energy condition and yields limits on the parameters of a given theory through the current values of the derivatives of the scale factor ... More

Introduction to the study of entropy in Quantum GamesApr 24 2006Dec 08 2016The present work is an introductory study about entropy its properties and its role in quantum information theory. In a next work, we will use these results to the analysis of a quantum game described by a density operator and with its entropy equal to ... More

Homological matricesOct 20 2005Nov 09 2006We define homological matrices, construct examples of one-dimension restricted homological quantum field theories, and show a relationship between the two theories.

Berline-Vergne valuation and generalized permutohedraSep 25 2015Generalizing a conjecture by De Loera et al., we conjecture that all the integral generalized permutohedra have positive Ehrhart coefficients. Berline-Vergne constructe a valuation that assign values to faces of polytopes, which provides a way to write ... More

Time reparametrization symmetry in spin glass modelsDec 29 2007Aug 13 2008We study the long-time aging dynamics of spin-glass models with two-spin interactions by performing a Renormalization Group transformation on the time variable in the non-equilibrium dynamical generating functional. We obtain the RG equations and find ... More

Uniform estimation of a class of random graph functionalsMar 09 2017Aug 23 2018We consider estimation of certain functionals of random graphs. The random graph is generated by a possibly sparse stochastic block model (SBM). The number of classes is fixed or grows with the number of vertices. Minimax lower and upper bounds of estimation ... More

Associative subalgebras of low-dimensional Majorana algebrasOct 01 2013Mar 03 2018A Majorana algebra is a commutative nonassociative real algebra generated by a finite set of idempotents, called Majorana axes, that satisfy some of the properties of the $2A$-axes of the Monster Griess algebra. The term was introduced by A. A. Ivanov ... More

Strong pseudoconvexity in Banach spacesJan 13 2017Having been unclear how to define strong (or strict) pseudoconvexity in the infinite-dimensional and non-smooth boundary context, we take a look at the available literature on strong pseudoconvexity, focusing first in eliminating the need of two degress ... More