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On the Nonlinear Cauchy-Riemann equations of $K$-Structural Transformation and Nonlinear $K$-structural Laplace equationJun 01 2018A function $\kappa$-transformation $w\left( z \right)\to \widetilde{w}\left( z \right)=w\left( z \right)\left( 1+\kappa \left( z \right) \right)$ is constructed with the initial condition $\kappa \left( {{z}_{0}} \right)=0$ at the point $z_{ 0} \in \Omega$ ... More

Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equationsSep 28 1998Jan 30 1999We construct an integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations, using the Wakimoto modules.

Cup-length estimate for Lagrangian intersectionsApr 07 2003In this paper we consider the Arnold conjecture on the Lagrangian intersections of some closed Lagrangian submanifold of a closed symplectic manifold with its image of a Hamiltonian diffeomorphism. We prove that if the Hofer's symplectic energy of the ... More

A Hybrid multiphase model based on lattice Boltzmann method direct simulationsJun 11 2019By means of the multicomponent Shan-Chen lattice Boltzmann method (LBM), we investigate the multiphase flow through porous media. Despite the excellent accuracy of the LBM, large domains result in unaffordable computational expenses. The Hybrid model ... More

Non-asymptotically AdS/dS Solutions and Their Higher Dimensional OriginsJun 03 2004Aug 14 2004We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing Einstein-Maxwell ... More

Boundary determination of the Lamé moduli for the isotropic elasticity systemAug 02 2017We consider the inverse boundary value problem of determining the Lam\'e moduli of an isotropic, static elasticity equations of system at the boundary from the localized Dirichlet-to-Neumann map. Assuming appropriate local regularity assumptions as weak ... More

Singularities and the Finale of Black Hole EvaporationMay 16 2013In this essay we argue that once quantum gravitational effects change the classical geometry of a black hole and remove the curvature singularity, the black hole would not evaporate entirely but approach a remnant. In a modified Schwarzschild spacetime ... More

Comments on "Best conventional solutions to the King's problem"Dec 07 2006Conventional solutions to the (Mean) King's problem without using entanglement have been investigated by Aravind [P. K. Aravind, ``Best conventional solutions to the King's problem'', Z. Naturforsch. 58a, 682 (2003)]. We report that the upper bound for ... More

Cosmic $ΔB$ from Lepton Violating Interactions at the Electroweak Phase TransitionJun 05 1992We propose a new mechanism for late cosmological baryon asymmetry in models with first order electroweak phase transition. Lepton asymmetry arises through the decay of particles produced out of equilbrium in bubble collisions and is converted into baryon ... More

Existence and convexity of solutions of the fractional heat equationJun 01 2016Aug 22 2017We prove that the initial-value problem for the fractional heat equation admits a solution provided that the (possibly unbounded) initial datum has a conveniently moderate growth at infinity. Under the same growth condition we also prove that the solution ... More

On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black HolesApr 10 2007Jul 30 2007In this paper we elaborate on the relation between the entropy formula of Wald and the "entropy function" method proposed by A. Sen. For spherically symmetric extremal black holes, it is shown that the expression of extremal black hole entropy given by ... More

Mechanics of Apparent Horizon in Two Dimensional Dilaton GravitySep 27 2016In this article, we give a definition of apparent horizon in a two dimensional general dilaton gravity theory. With this definition, we construct the mechanics of the apparent horizon by introducing a quasi-local energy of the theory. Our discussion generalizes ... More

Generalized Formalism in Gauge-Invariant Gravitational PerturbationsJun 20 2013By use of the gauge-invariant variables proposed by Kodama and Ishibashi, we obtain the most general perturbation equations in the $(m+n)$-dimensional spacetime with a warped product metric. These equations do not depend on the spectral expansions of ... More

Spin backflow: a non-Markovian effect on spin pumpingJan 15 2019Apr 26 2019The miniaturization of spintronic devices, specifically, nanoscale devices employing spintronics, has attracted intensive attention from a scientific as well as engineering perspective. In this paper, we study non-Markovian effect on spin pumping to describe ... More

Nonadiabaticity in spin pumping under relaxationJun 02 2017Aug 08 2017Using a minimum model consisting of a magnetic quantum dot and an electron lead, we investigate spin pumping by its precessing magnetization. Focusing on the "adiabaticity", which is quantified using a comparison between the frequency of precession and ... More

Sign-changing solutions of the fractional heat equation: existence and convexityJun 01 2016We prove that the initial-value problem for the fractional heat equation admits a solution provided that the (possibly unbounded) initial datum has a conveniently moderate growth at infinity. Under the same growth condition we also prove that the solution ... More

Factorisation of two-variable p-adic L-functionsApr 28 2013Let $f$ be a modular form which is non-ordinary at $p$. Kim and Loeffler have recently constructed two-variable $p$-adic $L$-functions associated to $f$. In the case where $a_p=0$, they showed that, as in the one-variable case, Pollack's plus and minus ... More

Light neutral mesons production in p-A collisions at $\sqrt{s} = 27.5$ GeV with the NA60 ExperimentDec 31 2011The NA60 experiment has studied low-mass muon pair production in proton-nucleus (p-A) collisions with a system of Be, Cu, In, W, Pb and U targets using a 400 GeV/$c$ proton beam at the CERN SPS. Thanks to the collected data sample of 180\,000 low mass ... More

Aspects of particle mixing in Quantum Field TheoryAug 30 2004Sep 06 2004The results obtained on the particle mixing in Quantum Field Theory are reviewed. The Quantum Field Theoretical formulation of fermion and boson mixed fields is analyzed in detail and new oscillation formulas exhibiting corrections with respect to the ... More

New results on inclusive quarkonium decaysMay 13 2002I review some recent progress, leading to a substantial reduction in the number of non-perturbative parameters, in the calculation of inclusive quarkonium decay widths in the framework of non-relativistic effective field theories.

Superstripes in the Low Energy Physics of Complex Quantum Matter at the MesoscaleMar 10 2015Mar 12 2015Quantum physics in the 20th century was proposed to understand the phenomenology of atomic world at short length scale (below one nanometer) and it was developed to study nuclear and subnuclear world at the lowest possible spatial scale and at the highest ... More

On the Beauville form of the known irreducible symplectic varietiesJun 16 2006We study the global geometry of the ten dimensional O'Grady irreducible symplectic variety. We determine its second Betti number, its Beauville form and its Fujiki constant.

More about Electroweak Baryogenesis in the Minimal Supersymmetric Standard ModelSep 08 1997We compute the baryon asymmetry generated at the electroweak phase transition by the Higgs scalar sector of the minimal supersymmetric standard model. Because of large enhancement effects from low momentum modes, Higgs particles may be responsible for ... More

Towards a Nonequilibrium Quantum Field Theory Approach to Electroweak BaryogenesisOct 11 1995We propose a general method to compute $CP$-violating observables from extensions of the standard model in the context of electroweak baryogenesis. It is alternative to the one recently developed by Huet and Nelson and relies on a nonequilibrium quantum ... More

Radiative transitions and the quarkonium magnetic momentAug 30 2006I discuss heavy quarkonium radiative transitions and the related issue of the quarkonium magnetic moment inside effective field theories. Differences in set up and conclusions with respect to typical phenomenological approaches are outlined.

The heavy quark potential in pNRQCDSep 20 1999The heavy quarkonium static potential is discussed within the framework of potential NRQCD. Some quantitative statements are made in the kinematical situation $mv >> \Lambda_{\rm QCD}$ at the level of accuracy of the next-to-leading order in the multipole ... More

The Barbieri-Remiddi solution of the bound state problem in QEDJul 22 1998We derive the so-called Barbieri-Remiddi solution of the Bethe-Salpeter equation in QED in its general form and discuss its application to the bound state energy spectrum.

The quark-antiquark Wilson loop formalism in the NRQCD power counting schemeSep 02 1998The quark-antiquark interaction from the NRQCD Lagrangian is studied in the Wilson loop formalism.

Singular integrals and maximal functions: the disk multiplier revisitedOct 23 2013Dec 18 2013Several estimates for singular integrals, maximal functions and the spherical summation operator are given in the spaces $L^p_{\text{rad}}L^2_{\text{ang}}(\mathbb{R}^n)$, $n\geq 2$.

A theoretical review of heavy quarkonium inclusive decaysNov 24 2003Jan 22 2004In this brief review, I summarize the current theoretical knowledge of heavy quarkonium inclusive decays, with emphasis on recent progress made in the framework of QCD effective field theories. In appendix, I list the imaginary parts of the matching coefficients ... More

New universal attractor in nonmininally coupled gravity: Linear inflationJan 26 2018Jul 17 2018Once quantum corrections are taken into account, the strong coupling limit of the $\xi$-attractor models (in metric gravity) might depart from the usual Starobinsky solution and move into linear inflation. Furthermore, it is well known that the metric ... More

Nested-set inconsistencyApr 26 2010Jan 25 2012This paper examines a denumerable version of the nested-set theorem and derives from it a contradiction involving the formal consistency of the actual infinity assumed by the Axiom of Infinity.

Living beings as informed systems: towards a physical theory of informationSep 19 2006I propose here a new concept of information based on two relevant aspects of its expression. The first related to the undeniable fact that the expression of information modifies the physical state of its receiver. The second to the arbitrariness of such ... More

Strong Sector in non-minimal SUSY modelNov 26 2016We investigate the squark sector of a supersymmetric theory with an extended Higgs sector. We give the mass matrices of stop and sbottom, comparing the Minimal Supersymmetric Standard Model (MSSM) case and the non-minimal case. We discuss the impact of ... More

Limb and gravity-darkening coefficients for the TESS satellite at several metallicities, surface gravities, and microturbulent velocitiesApr 26 2018We present new gravity and limb-darkening coefficients for a wide range of effective temperatures, gravities, metallicities, and microturbulent velocities. These coefficients can be used in many different fields of stellar physics as synthetic light curves ... More

Weakly countably determined spaces of high complexityMar 04 2009We prove that there exist weakly countably determined spaces of complexity higher than coanalytic. On the other hand, we also show that coanalytic sets can be characterized by the existence of a cofinal adequate family of closed sets. Therefore the Banach ... More

Automatic norm continuity of weak* homeomorphismsMar 01 2009We prove that in a certain class E of nonseparable Banach spaces the norm topology of the dual ball is definable in terms of its weak* topology. Thus, any weak* homeomorphism between duals balls of spaces in E is automatically norm-continuous.

Prediction in Cyber Security: Complications and ConsolationsApr 23 2018Apr 25 2018Uncertainty, error, and similar complications add to the many challenges of cyber security. Various disciplines have developed methods for managing these complications, but applying these methods involves disambiguating overlapping terminology and determining ... More

Validating Computer Security Methods: Meta-methodology for an Adversarial ScienceOct 03 2017Jan 22 2018How can we justify the validity of our computer security methods? This meta-methodological question is related to recent explorations on the science of computer security, which have been hindered by computer security's unique properties. We confront this ... More

3-flavor and 4-flavor implications of the latest T2K and NO$ν$A electron (anti-)neutrino appearance resultsSep 10 2015Mar 22 2016The two long-baseline experiments T2K and NO$\nu$A have recently presented new findings. T2K has shown the first $\bar \nu_e$ appearance data while NO$\nu$A has released the first $\nu_e$ appearance results. These data are of particular importance because ... More

Testing the very-short-baseline neutrino anomalies at the solar sectorMay 09 2011Jun 07 2011Motivated by the accumulating hints of new sterile neutrino species at the eV scale, we explore the consequences of such an hypothesis on the solar sector phenomenology. After introducing the theoretical formalism needed to describe the MSW conversion ... More

Chemical potential and multiplicative anomalySep 14 1998The relativistic complex scalar field at finite temperature and in presence of a net conserved charge is studied in reference to recent developments on the multiplicative anomaly. This quantity, overlooked until now, is computed and it is shown how it ... More

Multiplicative anomaly and finite charge densitySep 08 1998When dealing with zeta-function regularized functional determinants of matrix valued differential operators, an additional term, overlooked until now and due to the multiplicative anomaly, may arise. The presence and physical relevance of this term is ... More

Scalar perturbations in DGP braneworld cosmologyMay 16 2008We solve for the behaviour of cosmological perturbations in the Dvali-Gabadadze-Porrati (DGP) braneworld model using a new numerical method. Unlike some other approaches in the literature, our method uses no approximations other than linear theory and ... More

Mean pt scaling with m/nq at the LHC: Absence of (hydro) flow in small systems?Jun 01 2015Aug 28 2015In this work, a study of the average transverse momentum (pt) as a function of the mid-rapidity charged hadron multiplicity (Nch) and hadron mass (m) in p-Pb and Pb-Pb collisions at LHC energies is presented. For the events producing low Nch, the average ... More

Implementation of functions in R tool in parallel environmentMay 08 2019Drug promiscuity and polypharmacology are much discussed topics in pharmaceutical research. Drug repositioning applies established drugs to new disease indications with increasing success. As polypharmacology, defined a drug's ability to bind to several ... More

Countable products of spaces of finite setsFeb 28 2009We consider the compact spaces sigma_n(I) of subsets of an uncountable set I of cardinality at most n and their countable products. We give a complete classification of their Banach spaces of continuous functions and a partial topological classification. ... More

Equations for polar grassmanniansMay 07 2015Given an $N$-dimensional vector space $V$ over a field $\mathbb{F}$ and a trace-valued $(\sigma,\varepsilon)$-sesquilinear form $f:V\times V\rightarrow \mathbb{F}$, with $\varepsilon = \pm 1$ and $\sigma^2 = \mathrm{id}_{\mathbb{F}}$, let ${\cal S}$ be ... More

Fundamentals of the Holomorphic Embedding Load-Flow MethodSep 08 2015The Holomorphic Embedding Load-Flow Method (HELM) was recently introduced as a novel technique to constructively solve the power-flow equations in power grids, based on advanced complex analysis. In this paper, the theoretical foundations of the method ... More

On the structure of complete kählerian manifolds furnished with closed conformal vector fieldsSep 19 2014May 29 2017We show that if a connected compact k\"ahlerian surface $M$ with nonpositive gaussian curvature is furnished with a closed conformal vector field $\xi$ whose singular points are isolated, then $M$ is isometric to a flat torus and $\xi$ is parallel. We ... More

On the Calabi-Yau problem for maximal surfaces in L^3Jul 09 2007Dec 04 2007In this paper we construct an example of a weakly complete maximal surface in the Lorentz-Minkowski space L^3, which is bounded by a hyperboloid. Moreover, all the singularities of our example are of lightlike type.

A Birkhoff type transitivity theorem for non-separable completely metrizable spaces with applications to Linear DynamicsMay 12 2011Jan 30 2013In this note we prove a Birkhoff type transitivity theorem for continuous maps acting on non-separable completely metrizable spaces and we give some applications for dynamics of bounded linear operators acting on complex Fr\'{e}chet spaces. Among them ... More

Total and geometric phases, Majorana and Dirac neutrinosApr 11 2019The analysis of the total and geometric phases generated by the neutrino oscillation shows that these phases for Majorana neutrinos are depending on the representation of the mixing matrix and they are different from those of Dirac neutrinos.

On the Existence of Absolutely Maximally Entangled States of Minimal Support IIJun 30 2018Absolutely maximally entangled, AME, states are pure multipartite states that give rise to the maximally mixed states when half or more of the parties are traced out. AME states find applications in fields like teleportation or quantum secret sharing, ... More

Constructing black hole solutions in supergravity theoriesMay 09 2019Jul 23 2019We perform a detailed analysis of black hole solutions in supergravity models. After a general introduction on black holes in general relativity and supersymmetric theories, we provide a detailed description of ungauged extended supergravities and their ... More

A Delaunay-type classification result for prescribed mean curvature surfaces in $\mathbb{M}^2(κ)\times\mathbb{R}$Jul 26 2018May 15 2019The purpose of this paper is to study immersed surfaces in the product spaces $\mathbb{M}^2(\kappa)\times\mathbb{R}$, whose mean curvature is given as a $C^1$ function depending on their angle function. This class of surfaces extends widely, among others, ... More

A Kepler's note on secular inequalitiesFeb 13 2014I discuss the problem of secular inequalities in Kepler by giving account of a manuscript note that has not been published until 1860. In his note Kepler points out the need for a model, clearly inspired by the method of epicycles, that describes the ... More

On minimal models of projective Hyperkaehler manifoldsMar 17 2015Mar 21 2015Any minimal model of a projective Hyperkaehler manifold is a projective Hyperkaehler manifold. As a consequence, moduli spaces of sheaves on a k3 that don't admit a symplectic resolution are not birational to Hyperkaehler manifolds.

Intrinsic volumes of set of singular matricesJan 20 2014We explicitly compute the intrinsic volume of the set of real (and real symmetric) matrices of Frobenius norm one and given corank (the case of matrices with zero determinant as a special case). We give asymptotic formulas for our computations and we ... More

A Possible Cosmological Explanation of why Supersymmetry is hiding at the LHCNov 06 2012If one is not ready to pay a large fine-tuning price within supersymmetric models given the current measurement of the Higgs boson mass, one can envisage a scenario where the supersymmetric spectrum is made of heavy scalar sparticles and much lighter ... More

D-Term Inflation: The Good, the Bad and the UglyOct 13 1997An inflationary stage dominated by a D-term avoids the slow-roll problem of inflation in supergravity and can naturally emerge in theories with a non-anomalous or anomalous U(1) gauge symmetry. In this talk different aspects of D-term inflation are discussed. ... More

Cosmological Implications of Low Energy Supersymmetry Breaking ModelsAug 11 1997Aug 13 1997We show that stable local cosmic strings are a generic prediction of supersymmetric models where supersymmetry is broken at scales within a few orders of magnitude of the weak scale and is fed down to the observable sector by gauge interactions. The typical ... More

A note on the Joint Spectral RadiusFeb 05 2015A brief summary on the properties of the so called Joint Spectral Radius

Phonons and specific heat of linear dense phases of atoms physisorbed in the grooves of carbon nanotube bundlesDec 24 2002The vibrational properties (phonons) of a one-dimensional periodic phase of atoms physisorbed in the external groove of the carbon nanotube bundle are studied. Analytical expressions for the phonon dispersion relations are derived. The derived expressions ... More

Heavy Quarkonium Inclusive Decays: Theoretical Status and PerspectivesDec 18 2002I review some recent progress and open problems in the calculation of heavy-quarkonium inclusive decay widths into light particles in the framework of QCD non-relativistic effective field theories.

A New Keyboard for the Bohlen-Pierce ScaleNov 02 2011The study of harmonic scales of musical instruments is discussed in all introductory physics texts devoted to the science of sound. In this paper, we present a new piano keyboard to make the so-called Bohlen-Pierce scale more functional and pleasing for ... More

Extensions of Boolean isometriesMar 14 2009We study when a map between two subsets of a Boolean domain W can be extended to an automorphism of W. Under many hypotheses, if the underlying Boolean algebra is complete or if the sets are finite or Boolean domains, the necessary and suficient condition ... More

The Chemical Composition of the 30 Doradus Nebula Derived from VLT Echelle SpectrophotometryAug 28 2002Echelle spectrophotometry of the 30 Doradus nebula in the LMC is presented. The data consists of VLT UVES observations in the 3100 to 10350 A range. The intensities of 366 emission lines have been measured, including 269 identified permitted lines of ... More

Prescribed mean curvature surfaces in the product spaces $\mathbb{M}^2(κ)\times\mathbb{R}$; Analysis of rotational surfaces, existence of spheres and a Delaunay-type classification resultJul 26 2018Jul 27 2018The purpose of this paper is to study surfaces whose mean curvature is given as a $C^1$ function depending on their angle function, which are immersed in the product spaces $\mathbb{M}^2(\kappa)\times\mathbb{R}$. This class of surfaces extends widely, ... More

Segmenti paralleliMar 09 2011In this article (it's only in italian, but I'm translating it) I will try to solve some questions about a mathematical problem that my friend Patrizio Frederic, a researcher in statistics at the University of Modena, proposed to me. Given some parallel ... More

Coevolution. Extending Prigogine TheoremSep 19 2006Apr 30 2008The formal consideration of the concept of interaction in thermodynamic analysis makes it possible to deduce, in the broadest terms, new results related to the coevolution of interacting systems, irrespective of their distance from thermodynamic equilibrium. ... More

Hilbert's machine and w-orderAug 14 2006Nov 23 2009Hilbert's machine is a supertask machine inspired by Hilbert's Hotel whose functioning leads to a contradictory result involving w-ordering.

On Bifurcated supertasks and related questionsJan 24 2010Jan 25 2012Bifurcated supertasks entail the actual infinite division of time (accelerated system of reference) as well as the existence of half-curves of infinite length (supertask system of reference). This paper analyzes both issues from a critique perspective. ... More

Graphene properties from curved space Dirac equationAug 03 2018Jan 18 2019A mathematical formulation for particle states and electronic properties of a curved graphene sheet is provided, exploiting a massless Dirac spectrum description for charge carriers living in a curved bidimensional background. In particular, we study ... More

Raising the Higgs Mass in Supersymmetric ModelsSep 07 2004Sep 10 2004The minimal supersymmetric standard model, and extensions, predicts a relatively light higgs particle if one supposes perturbativity until high scales. That fact is in conflict with nowadays data coming from LEPII fruitless searches for the Higgs boson. ... More

Radon-Nikodým compact spaces of low weight and Banach spacesDec 26 2010We prove that a continuous image of a Radon-Nikod\'ym compact space of weight less than b is Radon-Nikod\'ym compact. As a Banach space counterpart, subspaces of Asplund generated Banach spaces of density character less than b are Asplund generated. In ... More

A very ampleness resultOct 24 2001Let (M,L) be a polarized manifold and let G(M,L) be the graded algebra generated by H^0(M,iL) in degree i. The aim of this paper is to establish a connection between the generators of G(M,L) and the very ampleness of the line bundle rL. Some applications ... More

On linear systems of curves on rational scrollsMay 26 2002Mar 16 2010In this paper we prove a conjecture on the dimension of linear systems, with base points of multiplicity 2 and 3, on an Hirzebruck surface.

Constraints on very light sterile neutrinos from $θ_{13}$-sensitive reactor experimentsAug 27 2013Oct 31 2013Three dedicated reactor experiments, Double Chooz, RENO and Daya Bay, have recently performed a precision measurement of the third standard mixing angle $\theta_{13}$ exploiting a multiple baseline comparison of $\nu_e \to \nu_e$ disappearance driven ... More

A new bound on the Morse index of constant mean curvature tori of revolution in $\mathbb{S}^3$Feb 08 2011In this work we give a new lower bound on the Morse index for constant mean curvature tori of revolution immersed in the three-sphere $\mathbb{S}^3$, by computing some explicit negative eigenvalues for the corresponding Jacobi operator.

The problematic nature of potentially polynomial-time algorithms solving the subset-sum problemNov 18 2018The main purpose of this paper is to study the NP-complete subset-sum problem, not in the usual context of time-complexity-based classification of the algorithms (exponential/polynomial), but through a new kind of algorithmic classification which we introduce ... More

A multiplicity result for the problem $δd ξ= f'(<ξ,ξ>)ξ$Jan 25 2007In this paper we consider the nonlinear equation involving differential forms on a compact Riemannian manifold $\delta d \xi = f'(<\xi,\xi>)\xi$. This equation is a generalization of the semilinear Maxwell equations recently introduced in a paper by Benci ... More

Concentration and compactness in nonlinear Schrodinger-Poisson system with a general nonlinearityJun 29 2009In this paper we use a concentration and compactness argument to prove the existence of a nontrivial nonradial solution to the nonlinear Schrodinger-Poisson equations in R3, assuming on the nonlinearity the general hypotheses introduced by Berestycki ... More

Linearly foliated Calabi-Yau n-folds I. First-order deformationsDec 04 2007We consider classes of noncompact n-folds with trivial canonical bundle, that are linear foliations on nonsingular projective varieties, in general without a projection to the base. We obtain them as first-order deformations of total spaces of vector ... More

Random Ensembles of Lattices from Generalized ReductionsFeb 02 2017Feb 05 2018We propose a general framework to study constructions of Euclidean lattices from linear codes over finite fields. In particular, we prove general conditions for an ensemble constructed using linear codes to contain dense lattices (i.e., with packing density ... More

Compact complete proper minimal immersions in strictly convex bounded regular domains of R^3Apr 30 2008Nov 19 2008Consider a strictly convex bounded regular domain $C$ of $\R^3$. For any arbitrary finite topological type we find a compact Riemann surface $\mathcal{M}$, an open domain $M\subset \mathcal{M}$ with the fixed topological type, and a conformal complete ... More

Stable and isoperimetric regions in rotationally symmetric tori with decreasing Gauss curvatureApr 19 2006In this work we classify the stable regions (second order minima of perimeter under an area constraint) in tori of revolution with piecewise continuous decreasing Gauss curvature from the longest parallel and with a horizontal symmetry. Some applications ... More

A note on the elliptic Kirchhoff equation in R^N perturbed by a local nonlinearityJun 09 2013In this note we complete the study made in a previous paper on a Kirchhoff type equation with a Berestycki-Lions nonlinearity. We also correct Theorem 0.6 inside.

The lepton anomaly in the presence of torsionMay 27 1997Apr 16 1998In the presence of a curved space-time with torsion, the divergence of the leptonic current gets new contributions from the curvature and the torsion in addition to those coming from the electroweak fields. However it is possible to define a new lepton ... More

A necessary and sufficient condition for minimum phase and implications for phase retrievalJun 15 2016Oct 02 2016We give a necessary and sufficient condition for a function $E(t)$ being of minimum phase, and hence for its phase being univocally determined by its intensity $|E(t)|^2$. This condition is based on the knowledge of $E(t)$ alone and not of its analytic ... More

An Introduction to Quantum Mechanics ... for those who dwell in the macroscopic worldJan 20 2012Feb 18 2016There is a huge number of excellent and comprehensive textbooks on quantum mechanics. They mainly differ for the approach, more or less oriented to the formalism rather than to the phenomenology, as well as for the topics covered. These lectures have ... More

Quarkonium dissociation in a thermal bathJan 26 2015In an effective field theory framework we review the two main mechanisms of quarkonium dissociation in a weakly coupled thermal bath.

Heavy Hadron SpectroscopyNov 24 2006I review recent theoretical advances in heavy hadron spectroscopy.

Loop functions in thermal QCDOct 16 2014We discuss divergences of loop functions in thermal QCD and compute perturbatively the Polyakov loop, the Polyakov loop correlator and the cyclic Wilson loop. We show how these functions get mixed under renormalization.

A realistic interpretation of quantum mechanics. Asymmetric random walks in a discrete spacetimeSep 15 2007In this paper, I propose a realistic interpretation (RI) of quantum mechanics, that is, an interpretation according to which a particle follows a definite path in spacetime. The path is not deterministic but it is rather a random walk. However, the probability ... More

The Alexander polynomial as quantum invariant of linksAug 09 2013Jan 29 2014In these notes we collect some results about finite dimensional representations of $U_q(\mathfrak{gl}(1|1))$ and related invariants of framed tangles which are well-known to experts but difficult to find in the literature. In particular, we give an explicit ... More

Linearly-ordered Radon-Nidkodým compact spacesMar 01 2009We prove that every fragmentable linearly ordered compact space is almost totally disconnected. This combined with a result of Arvanitakis yields that every linearly ordered quasi Radon-Nikodym compact space is Radon-Nikodym, providing a new partial answer ... More

Sex-biased expression of microRNAs in Drosophila melanogasterDec 11 2013Feb 11 2014Most animals have separate sexes. The differential expression of gene products, in particular that of gene regulators, is underlying sexual dimorphism. Analyses of sex-biased expression have focused mostly in protein coding genes. Several lines of evidence ... More

Complete complex hypersurfaces in the ball come in nonsingular foliationsFeb 06 2018In this paper we prove that every smooth complete closed complex hypersurface in the open unit ball $\mathbb{B}_n$ of $\mathbb{C}^n$ $(n\ge 2)$ is a level set of a noncritical holomorphic function on $\mathbb{B}_n$ all of whose level sets are complete. ... More

Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological stringsJun 03 2016Jul 04 2016Bethe/Gauge correspondence as it is usually stated is ill-defined in five dimensions and needs a "non-perturbative" completion; a related problem also appears in three dimensions. It has been suggested that this problem, probably due to incompleteness ... More