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Interacting viscous matter with a dark energy fluidMay 03 2012Aug 14 2012We study a cosmological model composed of a dark energy fluid interacting with a viscous matter fluid in a spatially flat Universe. The matter component represents the baryon and dark matter and it is taken into account, through a bulk viscosity, the ... More

Exploring a matter-dominated model with bulk viscosity to drive the accelerated expansion of the UniverseFeb 18 2010Aug 19 2010We explore the viability of a bulk viscous matter-dominated Universe to explain the present accelerated expansion of the Universe. The model is composed by a pressureless fluid with bulk viscosity of the form \zeta = \zeta_0 + \zeta_1 * H where \zeta_0 ... More

Constraining a matter-dominated cosmological model with bulk viscosity proportional to the Hubble parameterOct 01 2008We present and constrain a cosmological model where the only component is a pressureless fluid with bulk viscosity as an explanation for the present accelerated expansion of the universe. We study the particular model of a bulk viscosity coefficient proportional ... More

Can a matter-dominated model with constant bulk viscosity drive the accelerated expansion of the universe?Nov 20 2008Mar 11 2009We test a cosmological model which the only component is a pressureless fluid with a constant bulk viscosity as an explanation for the present accelerated expansion of the universe. We classify all the possible scenarios for the universe predicted by ... More

The dimensionless age of the Universe: a riddle for our timeJun 30 2016We present the interesting coincidence of cosmology and astrophysics that points toward a dimensionless age of the universe H_0*t_0 that is close to one. Despite cosmic deceleration for 9 Gyr and acceleration since then, we find H_0t*_0 = 0.96 +/- 0.01 ... More

Constraining a bulk viscous matter-dominated cosmological model using SNe Ia, CMB and LSSJan 10 2008We present and constrain a cosmological model which component is a pressureless fluid with bulk viscosity as an explanation for the present accelerated expansion of the universe. We study the particular model of a constant bulk viscosity coefficient \zeta_m. ... More

Testing the EoS of dark matter with cosmological observationsNov 20 2012We explore the cosmological constraints on the parameter w_dm of the dark matter barotropic equation of state (EoS) to investigate the "warmness" of the dark matter fluid. The model is composed by the dark matter and dark energy fluids in addition to ... More

Interacting viscous dark fluidsJun 13 2013We revise the conditions for the physical viability of a cosmological model in which dark matter has bulk viscosity and also interacts with dark energy. We have also included radiation and baryonic matter components; all matter components are represented ... More

Genus statistics for structure formation with topological defectsJan 22 1996We study the efficiency of genus statistics in differentiating between different models of structure formation. Simple models which reproduce the salient features of the structure seeded by topological defects are examined. We consider accretion onto ... 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

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

Higgs lepton flavor violating decays in Two Higgs Doublet ModelsAug 21 2019The discovery of a non-zero rate for a lepton flavor violating decay mode of the Higgs boson would definitely be an indication of New Physics. We review the prospects for such signal in Two Higgs Doublet Models, in particular for Higgs boson decays into ... 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

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

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

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

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

DGP Cosmological model with generalized Ricci dark energySep 05 2013Nov 13 2014The braneworld model proposed by Dvali, Gabadadze and Porrati (DGP) leads to an accelerated universe without cosmological constant or other form of dark energy for the positive branch $(\epsilon =+1)$. For the negative branch $(\epsilon =-1)$ we have ... More

Interacting warm dark matterNov 28 2012Jun 14 2013We explore a cosmological model composed by a dark matter fluid interacting with a dark energy fluid. The interaction term has the non-linear lambda*(rho_m)^alpha * (rho_e)^beta form, where rho_m and rho_e are the energy densities of the dark matter and ... More

The coincidence problem in linear dark energy modelsNov 01 2004Nov 12 2004We show that a solution to the the coincidence problem can be found in the context of a generic class of dark energy models with a scalar field, $\phi$, with a linear effective potential $V(\phi)$. We determine the fraction, $f$, of the total lifetime ... More

Could the dynamics of the Universe be influenced by what is going on inside black holes?Nov 01 2014Mar 26 2015We investigate the potential impact of mass inflation inside black holes on the dynamics of the Universe, considering a recent reformulation of general relativity, proposed in [1], which prevents the vacuum energy from acting as a gravitational source. ... More

Impact of the matter density uncertainty on the dark energy reconstructionMar 04 2009Jun 24 2009In this paper we study the impact of the fractional matter density uncertainty in the reconstruction of the equation of state of dark energy. We consider both standard reconstruction methods, based on the dynamical effect that dark energy has on the expansion ... More

Mass inflation in Eddington-inspired Born-Infeld black holes: analytical scaling solutionsFeb 26 2016We study the inner dynamics of accreting Eddington-inspired Born-Infeld black holes using the homogeneous approximation and taking charge as a surrogate for angular momentum. We show that there is a minimum of the accretion rate below which mass inflation ... More

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

Avoiding unrealistic priors: the case of dark energy constraints from the time variation of the fine-structure constantFeb 14 2016We critically assess recent claims suggesting that upper limits on the time variation of the fine-structure constant tightly constrain the coupling of a dark energy scalar field to the electromagnetic sector, and, indirectly, the violation of the weak ... More

Entropy Perturbations due to Cosmic StringsFeb 22 1996We examine variations in the equation of state of the cosmic string portion of the cosmological fluid which lead to perturbations of the background matter density. These fluctuations in the equation of state are due to variations in the local density ... More

Copula-based piecewise regressionFeb 20 2017Feb 26 2017Most common parametric families of copulas are totally ordered, and in many cases they are also positively or negatively regression dependent and therefore they lead to monotone regression functions, which makes them not suitable for dependence relationships ... More

On the capability of finite groups of class two and prime exponentAug 17 2007Jan 19 2009We consider the capability of $p$-groups of class two and odd prime exponent. The question of capability is shown to be equivalent to a statement about vector spaces and linear transformations, and using the equivalence we give proofs of some old results ... More

A copula based approach for electoral quick countsJan 06 2019An electoral quick count is a statistical procedure whose main objective is to obtain a relatively small but representative sample of all the polling stations in a certain election, and to measure the uncertainty about the final result before the total ... More

Análisis estadístico ex post del conteo rápido institucional de la elección de gobernador del Estado de México en 2017May 23 2018Feb 01 2019A statistical analysis of an electoral quick count based on the total count of votes in the election of the State of Mexico's governor in 2017 is performed in order to verify precision, confidence level of interval estimations, possible bias and derived ... More

A calculation of $L$-series in terms of Jacobi sumsMay 17 2013Sep 19 2014Let us consider a cyclic extension of a function field defined over a finite field. For a character (non-trivial) of this extension, we calculate, as a linear combinations of products of Jacobi sums, the coefficients of the polynomial given by its Dirichtlet ... More

Inner Structure of Black Holes in Eddington-inspired Born-Infeld gravity: the role of mass inflationNov 10 2015We investigate the interior dynamics of accreting black holes in Eddington-inspired Born-Infeld gravity using the homogeneous approximation and taking charge as a surrogate for angular momentum, showing that accretion can have an enormous impact on their ... More

Primordial black hole constraints on non-gaussian inflation modelsOct 03 2005We determine the abundance of primordial black holes (PBHs) formed in the context of non-gaussian models with primordial density perturbations. We consider models with a renormalized $\chi^2$ probability distribution function parametrized by the number, ... More

Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximationJul 19 2012In this paper we investigate the classical non-relativistic limit of the Eddington-inspired Born-Infeld theory of gravity. We show that strong bounds on the value of the only additional parameter of the theory \kappa, with respect to general relativity, ... More

Probing gravity at sub-femtometer scales through the pressure distribution inside the protonFeb 04 2019Recently, a measurement of the pressure distribution experienced by the quarks inside the proton has found a strong repulsive (positive) pressure at distances up to 0.6 femtometers from its center and a (negative) confining pressure at larger distances. ... More

Eddington-inspired Born-Infeld gravity: astrophysical and cosmological constraintsJan 12 2012In this letter we compute stringent astrophysical and cosmological constraints on a recently proposed Eddington-inspired Born-Infeld theory of gravity. We find, using a generalized version of the Zel'dovich approximation, that in this theory a pressureless ... More

Vacuum energy sequestering and cosmic dynamicsOct 16 2014We explicitly compute the dynamics of closed homogeneous and isotropic universes permeated by a single perfect fluid with a constant equation of state parameter $w$ in the context of a recent reformulation of general relativity, proposed in [1], which ... More

On the cosmological evolution of alpha and mu and the dynamics of dark energyApr 22 2008We study the cosmological evolution of the fine structure constant, $\alpha$, and the proton-to-electron mass ratio, $\mu=m_p/m_e$, in the context of a generic class of models where the gauge kinetic function is a linear function of a quintessence-type ... More

Interacting dark energy: the role of microscopic feedback in the dark sectorFeb 09 2015Mar 10 2015We investigate the impact on the classical dynamics of dark matter particles and dark energy of a non-minimal coupling in the dark sector, assuming that the mass of the dark matter particles is coupled to a dark energy scalar field. We show that standard ... More

Gambling on the existence of other universesJul 06 2016Speculations and theories about the existence of other worlds have a long history. In recent times, the arguments have shifted away from their typical philosophical and theological character to supposedly become more objective thanks to their scientific ... More

Dominions in the variety of metabelian groupsJul 21 1998May 13 1999This paper has been withdrawn. The results are now part of math.GR/9804072.

Capability of nilpotent products of cyclic groupsMar 10 2004May 15 2006A group is called capable if it is a central factor group. We consider the capability of nilpotent products of cyclic groups, and obtain a generalization of a theorem of Baer for the metabelian small class case. The approach is also used to obtain some ... More

Capability of nilpotent products of cyclic groups IIJun 04 2006In Part I it was shown that if G is a p-group of class k, generated by elements of orders 1<p^{alpha_1} <= ... <= p^{alpha_r}, then a necessary condition for the capability of G is that r>1 and alpha_r <= alpha_{r-1} + [(k-1)/(p-1)]. It was also shown ... More

Capable groups of prime exponent and class 2, IIJun 28 2005We consider the capability of $p$ groups of class two and odd prime exponent. We use linear algebra and counting arguments to establish a number of new results. In particular, we settle the 4-generator case, and prove a sufficient condition based on the ... More

On the new translational shape invariant potentialsJun 19 2011Jul 07 2011Recently, several authors have found new translational shape invariant potentials not present in classic classifications like that of Infeld and Hull. For example, Quesne on the one hand and Bougie, Gangopadhyaya and Mallow on the other have provided ... More

A subcopula based dependence measureOct 03 2016Feb 06 2017A dependence measure for arbitrary type pairs of random variables is proposed and analyzed, which in the particular case where both random variables are continuous turns out to be a concordance measure. Also, a sample version of the proposed dependence ... More

Dominions in decomposable varietiesJul 21 1998May 13 1999Dominions, in the sense of Isbell, are investigated in the context of decomposable varieties of groups. An upper and lower bound for dominions in such a variety is given in terms of the two varietal factors, and the internal structure of the group being ... More

The Weak Field Limit of Higher Order GravitySep 21 2008Feb 06 2010The Higher Order Theories of Gravity - $f(R, R_{\alpha\beta}R^{\alpha\beta})$ - theory, where $R$ is the Ricci scalar, $R_{\alpha\beta}$ is the Ricci tensor and $f$ is any analytic function - have recently attracted a lot of interest as alternative candidates ... More

Nonsurjective epimorphisms in decomposable varieties of groupsJul 21 1998A full characterization of when a subgroup $H$ of a group $G$ in a varietal product ${\cal NQ}$ is epimorphically embedded in $G$ (in the variety ${\cal NQ}$) is given. From this, a result of S.~McKay is derived, which states that if ${\cal NQ}$ has instances ... More

Bäcklund--Darboux transformations of traslationally shape-invariant potentialsJun 13 2011Jun 19 2011Article withdrawn

Some results on capable groups of prime exponent and class twoDec 20 2004This note collects several results on the capability of $p$-groups of class two and prime exponent. Among the new results, we settle the 4-generator case for this class.

Capable two-generator 2-groups of class twoApr 27 2004Jun 09 2004A group is called capable if it is a central factor group. We characterize the capable 2-generator 2-groups of class 2 in terms of a standard presentation.

Capable groups of prime exponent and class twoJan 29 2004A group is called capable if it is a central factor group. We consider the capability of finite groups of class two and exponent $p$, $p$ an odd prime. We restate the problem of capability as a problem about linear transformations, which may be checked ... More

On the orders of generators of capable $p$-groupsMay 05 2004A group is called capable if it is a central factor group. For each prime $p$ and positive integer $c$, we prove the existence of a capable $p$-group of class $c$ minimally generated by an element of order $p$ and an element of order $p^{1+\lfloor\frac{c-1}{p-1}\rfloor}$. ... More

Capability of certain nilpotent products of cyclic groupsJul 25 2003Oct 20 2003A group is called capable if it is a central factor group. We consider the capability of certain nilpotent products of cyclic groups, and obtain a generalisation of a theorem of Baer for the small class case. The approach may also be used to obtain some ... More

Backtesting forecast accuracySep 26 2015Oct 26 2015A statistical test based on the geometric mean is proposed to determine if a predictive model should be rejected or not, when the quantity of interest is a strictly positive continuous random variable. A simulation study is performed to compare test power ... More

La falacia del empate técnico electoralJan 21 2018Jan 29 2018It is argued that the concept of "technical tie" in electoral polls and quick counts has no probabilistic basis, and that instead the uncertainty associated with these statistical exercises should be expressed in terms of a probability of victory of the ... More

Embedding groups of class two and prime exponent in capable and non-capable groupsMay 26 2008Aug 19 2008We show that if $G$ is any $p$-group of class at most two and exponent $p$, then there exist groups $G_1$ and $G_2$ of class two and exponent $p$ that contain $G$, neither of which can be expressed as a central product, and with $G_1$ capable and $G_2$ ... More

Poisson structures for reduced non-holonomic systemsJan 29 2004Borisov, Mamaev and Kilin have recently found certain Poisson structures with respect to which the reduced and rescaled systems of certain non-holonomic problems, involving rolling bodies without slipping, become Hamiltonian, the Hamiltonian function ... More

A subcopula based dependence measureOct 03 2016Oct 05 2016A dependence measure for arbitrary type pairs of random variables is proposed and analyzed, which in the particular case where both random variables are continuous turns out to be a concordance measure. Also, a sample version of the proposed dependence ... More

A note on linear B-spline copulasMar 16 2016Mar 17 2016In this brief note we prove that linear B-spline copulas is not a new family of copulas since they are equivalent to checkerboard copulas, and discuss in particular how they are used to extend empirical subcopulas to copulas.

Amalgamation bases for nil-2 groups of odd exponentJun 08 2000We study the strong, weak, and special amalgamation bases in the varieties of nilpotent groups of class two and exponent n, where n is odd. The main result is a characterization of the special amalgamation bases for these varieties. We also characterize ... More

Derivations of certain algebras defined by étale descentJan 29 2009We give an explicit description of the Lie algebra of derivations for a class of infinite dimensional algebras which are given by \'etale descent. The algebras under consideration are twisted forms of central algebras over rings, and include the multiloop ... More

Zeta Correspondences in Rank-nNov 13 2002The purpose of this work is to study in the case of function fields and rank-$n$, certain correspondences associated with Jacobi sums in a Coleman's work.

Value at risk and the diversification dogmaSep 09 2016The so-called risk diversification principle is analyzed, showing that its convenience depends on individual characteristics of the risks involved and the dependence relationship among them. ----- Se analiza el principio de diversificaci\'on de riesgos ... More

Ideal class group annihilatorsSep 13 2006Jun 02 2008We study certain correspondences over Drinfeld modular varieties given by sums of Hecke correspondences. We propose generalizations of Stickelberger's theorem for higher dimensions. Using this result, we study anihilators for some cusp forms.

Bilinear maps and central extensions of abelian groupsFeb 13 1998We show that every nilpotent group of class at most two may be embedded in a central extension of abelian groups with bilinear cocycle. The embedding is shown to depend only on the base group. Some refinements are obtained by considering the cohomological ... More

Closed-form formulas for the distribution of the jumps of doubly-stochastic Poisson processesJan 03 2017We study the obtainment of closed-form formulas for the distribution of the jumps of a doubly-stochastic Poisson process. The problem is approached in two ways. On the one hand, we translate the problem to the computation of multiple derivatives of the ... More

Impact of string and monopole-type junctions on domain wall dynamics: implications for dark energyNov 19 2009Nov 22 2009We investigate the potential role of string and monopole-type junctions in the frustration of domain wall networks using a velocity-dependent one-scale model for the characteristic velocity, $v$, and the characteristic length, $L$, of the network. We ... More

Scaling laws for weakly interacting cosmic (super)string and p-brane networksFeb 28 2012In this paper we find new scaling laws for the evolution of $p$-brane networks in $N+1$-dimensional Friedmann-Robertson-Walker universes in the weakly-interacting limit, giving particular emphasis to the case of cosmic superstrings ($p=1$) living in a ... More

Revisiting the VOS model for monopolesMar 27 2017Jul 10 2017We revisit the physical properties of global and local monopoles and discuss their implications in the dynamics of monopole networks. In particular, we review the Velocity-dependent One-Scale (VOS) model for global and local monopoles and propose physically ... More

Stochastic Gravitational Wave Background generated by Cosmic String Networks: Velocity-Dependent One-Scale model versus Scale-Invariant EvolutionApr 09 2013We compute the power spectrum of the stochastic gravitational wave background generated by cosmic string networks described by the Velocity-Dependent One-Scale (VOS) model, for a wide range of macroscopic and microscopic parameters. The VOS model --- ... More

Domain wall network evolution in (N+1)-dimensional FRW universesJan 18 2011We develop a velocity-dependent one-scale model for the evolution of domain wall networks in flat expanding or collapsing homogeneous and isotropic universes with an arbitrary number of spatial dimensions, finding the corresponding scaling laws in frictionless ... More

Lepton Flavor Violation in the singlet-triplet scotogenic modelMay 06 2016Jul 19 2016We investigate lepton flavor violation (LFV) in the the singlet-triplet scotogenic model in which neutrinos acquire non-zero masses at the 1-loop level. In contrast to the most popular variant of this setup, the singlet scotogenic model, this version ... More

Bulk Viscous Matter-dominated Universes: Asymptotic PropertiesMar 21 2013Aug 29 2013By means of a combined use of the type Ia supernovae and H(z) data tests, together with the study of the asymptotic properties in the equivalent phase space - through the use of the dynamical systems tools - we demonstrate that the bulk viscous matter-dominated ... More

p-brane dynamics in (N+1)-dimensional FRW universes: a unified frameworkMar 07 2011We develop a velocity-dependent one-scale model describing p-brane dynamics in flat homogeneous and isotropic backgrounds in a unified framework. We find the corresponding scaling laws in frictionless and friction dominated regimes considering both expanding ... More

Scaling defect decay and the reionization history of the UniverseJun 02 2004We consider a model for the reionization history of the Universe in which a significant fraction of the observed optical depth is a result of direct reionization by the decay products of a scaling cosmic defect network. We show that such network can make ... More

Lepton Flavor Violation in a $Z^\prime$ model for the $b \to s$ anomaliesOct 04 2018Feb 15 2019In recent years, several observables associated to semileptonic $b \to s$ processes have been found to depart from their predicted values in the Standard Model, including a few tantalizing hints of lepton flavor universality violation. In this work we ... More

Chi-square versus median statistics in SNIa data analysisJul 20 2011In this paper we compare the performances of the chi-square and median likelihood analysis in the determination of cosmological constraints using type Ia supernovae data. We perform a statistical analysis using the 307 supernovae of the Union 2 compilation ... More

Anthropic versus cosmological solutions to the coincidence problemMar 12 2011In this paper we investigate possible solutions to the coincidence problem in flat phantom dark energy models with a constant dark energy equation of state and quintessence models with a linear scalar field potential. These models are representative of ... More

The Stochastic Gravitational Wave Background Generated by Cosmic String Networks: the Small-Loop RegimeMar 11 2014We consider an alternative approach for the computation of the stochastic gravitational wave background generated by small loops produced throughout the cosmological evolution of cosmic string networks and use it to derive an analytical approximation ... More

Evolution of domain wall networks: the PRS algorithmJan 17 2011The Press-Ryden-Spergel (PRS) algorithm is a modification to the field theory equations of motion, parametrized by two parameters ($\alpha$ and $\beta$), implemented in numerical simulations of cosmological domain wall networks, in order to ensure a fixed ... More

Layzer-Irvine equation: new perspectives and the role of interacting dark energyDec 02 2011We derive the Layzer-Irvine equation in the presence of a homogeneous (or quasi-homogeneous) dark energy component with an arbitrary equation of state. We extend the Layzer-Irvine equation to homogeneous and isotropic universes with an arbitrary number ... More

Thermodynamics of Cosmic Defect Network EvolutionNov 02 2015We show that simple thermodynamic conditions determine, to a great extent, the equation of state and dynamics of cosmic defects of arbitrary dimensionality. We use these conditions to provide a more direct derivation of the Velocity-dependent One-Scale ... More

Cosmic Microwave Background anisotropies generated by domain wall networksJul 04 2015We develop a numerical tool for the fast computation of the temperature and polarization power spectra generated by domain wall networks, by extending the publicly available CMBACT code --- that calculates the CMB signatures generated by active sources ... More

The cosmological evolution of p-brane networksJul 22 2011In this paper we derive, directly from the Nambu-Goto action, the relevant components of the acceleration of cosmological featureless $p$-branes, extending previous analysis based on the field theory equations in the thin-brane limit. The component of ... More

Observational Constraints on Varying-alpha Domain WallsApr 13 2014May 05 2015We consider the possibility that current hints of spatial variations of the fine structure constant at high redshift, based on VLT/UVES and Keck/HIRES observations, could be caused by a biased domain wall network described by a scalar field non-minimally ... More

Probing Cosmic Superstrings with Gravitational WavesJun 17 2016We compute the stochastic gravitational wave background generated by cosmic superstrings using a semi-analytical velocity-dependent model to describe their dynamics. We show that heavier string types may leave distinctive signatures on the stochastic ... More

Zero-field splitting of the Kondo resonance and quantum criticality in triple quantum dotsAug 17 2016We consider a triple-quantum-dot (TQD) system composed by an interacting quantum dot connected to two non-interacting dots, which in turn are both connected in parallel to metallic leads. As we show, this system can be mapped onto a single-impurity Anderson ... More

Valuations of Skew Quantum PolynomialsMar 07 2014Jul 26 2014In this paper we extend some results obtained by Artamonov and Sabitov for quantum polynomials to skew quantum polynomials and quasi-commutative bijective skew PBW extensions. Moreover, we find a counterexample to the conjecture proposed in [6]

Zero-field splitting of the Kondo resonance and quantum criticality in triple quantum dotsAug 17 2016Nov 19 2016We consider a triple-quantum-dot (TQD) system composed by an interacting quantum dot connected to two effectively non-interacting dots, which in turn are both connected in parallel to metallic leads. As we show, this system can be mapped onto a single-impurity ... More

Golden ratios, Lucas Sequences and the Quadratic FamilyJun 14 2018Jan 15 2019It is conjectured that there is a converging sequence of some generalized Fibonacci ratios, given the difference between consecutive ratios, such as the Golden Ratio, $\varphi^1$, and the next golden ratio $\varphi^2$. Moreover, the graphic depiction ... More

On Normal Forms of Singular Levi-Flat Real Analytic HypersurfacesMar 25 2010Aug 04 2010Let $F(z)=\mathcal{R}e(P(z)) + h.o.t$ be such that $M=(F=0)$ defines a germ of real analytic Levi-flat at $0\in\mathbb{C}^{n}$, $n\geq{2}$, where $P(z)$ is a homogeneous polynomial of degree $k$ with an isolated singularity at $0\in\mathbb{C}^{n}$ and ... More

Type Ia Supernovae are Excellent Standard Candles in the Near-InfraredFeb 08 2019We analyze a set of 89 Type Ia supernovae (SN Ia) that have both optical and near-infrared (NIR) photometry to derive distances and construct low redshift ($z < 0.04$) Hubble diagrams. We construct mean light curve (LC) templates using a hierarchical ... More

Higher-order tangent map and applications to the higher Nash blowup of toric varietiesMar 13 2018We show that the higher Nash blowup of a toric variety can be covered by affine open subsets that are invariant under the action of the torus. To that end we introduce a higher-order Jacobian matrix that represents a higher-order derivative of a morphism. ... More

Scalar field dark matter with a cosh potential, revisitedApr 05 2019Dark matter models in which the constituent particle is an ultra-light boson have become part of the mainstream discussion in cosmology and astrophysics. At the classical level, the models are represented by the dynamics of a (real or complex) scalar ... More

On Levi-flat hypersurfaces tangent to holomorphic websSep 08 2011Sep 12 2011We investigate germs of real analytic Levi-flat hypersurfaces tangent to germs of codimension one holomorphic webs. We introduce the notion of first integrals for local webs. In particular, we prove that a $k$-web with finitely many invariant analytic ... More

On Normal Forms for Levi-flat hypersurfaces with an Isolated Line SingularityApr 09 2013Jan 27 2014We prove the existence of normal forms for some local real-analytic Levi-flat hypersurfaces with an isolated line singularity. We also give sufficient conditions for that a Levi-flat hypersurface with a complex line as singularity to be a pullback of ... More

Convergence of the Fourth Moment and Infinite Divisibility: Quantitative estimatesFeb 25 2014We give an estimate for the Kolmogorov distance between an infinitely divisible distribution (with mean zero and variance one) and the standard Gaussian distribution in terms of the difference between the fourth moment and 3. In a similar fashion we give ... More

Belavin-Drinfeld quantum groups and Lie bialgebras: Galois cohomology considerationsMay 31 2016We relate the Belavin--Drinfeld cohomologies (twisted and untwisted) that have been introduced in the literature to study certain families of quantum groups and Lie bialgebras over a non algebraically closed field $\mathbb K$ of characteristic 0 to the ... More