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Existence of two-step replica symmetry breaking for the spherical mixed p-spin glass at zero temperatureFeb 08 2018We provide the first examples of two-step replica symmetry breaking (2-RSB) models for the spherical mixed p-spin glass at zero temperature. Precisely, we show that for a certain class of mixtures, the Parisi measure at zero temperature is purely atomic ... More

On properties of Parisi measuresMar 14 2013We investigate the structure of Parisi measures, the functional order parameters of mixed p-spin models in mean field spin glasses. In the absence of external field, we prove that a Parisi measure satisfies the following properties. First, at all temperatures, ... More

Extreme eigenvalues of sparse, heavy tailed random matricesJun 19 2015We study the statistics of the largest eigenvalues of $p \times p$ sample covariance matrices $\Sigma_{p,n} = M_{p,n}M_{p,n}^{*}$ when the entries of the $p \times n$ matrix $M_{p,n}$ are sparse and have a distribution with tail $t^{-\alpha}$, $\alpha>0$. ... More

Directed polymers in random environment with heavy tailsJan 07 2010We study the model of Directed Polymers in Random Environment in 1+1 dimensions, where the distribution at a site has a tail which decays regularly polynomially with power \alpha, where \alpha \in (0,2). After proper scaling of temperature \beta^{-1}, ... More

On the time constant of high dimensional first passage percolationJan 28 2016We study the time constant $\mu(e_{1})$ in first passage percolation on $\mathbb Z^{d}$ as a function of the dimension. We prove that if the passage times have finite mean, $$\lim_{d \to \infty} \frac{\mu(e_{1}) d}{\log d} = \frac{1}{2a},$$ where $a \in ... More

Differentiability at the edge of the percolation cone and related results in first-passage percolationMay 20 2011Feb 28 2012We study first-passage percolation in two dimensions, using measures mu on passage times with b:=inf supp(mu) >0 and mu({b})=p \geq p_c, the threshold for oriented percolation. We first show that for each such mu, the boundary of the limit shape for mu ... More

Universality of chaos and ultrametricity in mixed p-spin modelsOct 29 2014We prove disorder universality of chaos phenomena and ultrametricity in the mixed p-spin model under mild moment assumptions on the environment. This establishes the long-standing belief among physicists that the Parisi solution in mean-field models is ... More

The Parisi formula has a unique minimizerFeb 20 2014Sep 05 2014In 1979, G. Parisi predicted a variational formula for the thermodynamic limit of the free energy in the Sherrington-Kirkpatrick model and described the role played by its minimizer. This formula was verified in the seminal work of Talagrand and later ... More

Parisi formula for the ground state energy in the mixed p-spin modelJun 16 2016Jun 28 2016We show that the thermodynamic limit of the ground state energy in the mixed p-spin model can be identified as a variational problem. This gives a natural generalization of the Parisi formula at zero temperature.

Free energy and complexity of spherical bipartite modelsMay 09 2014We investigate both free energy and complexity of the spherical bipartite spin glass model. We first prove a variational formula in high temperature for the limiting free energy based on the well-known Crisanti-Sommers representation of the mixed p-spin ... More

A duality principle in spin glassesMay 05 2016May 13 2016We prove a duality principle that connects the thermodynamic limits of the free energies of the Hamiltonians and their squared interactions. Under the main assumption that the limiting free energy is concave in the squared temperature parameter, we show ... More

The Legendre structure of the Parisi formulaOct 12 2015Oct 26 2015We show that the Parisi formula of the mixed $p$-spin model is a concave function of the squared inverse temperature. This allows us to derive a new expression for the Parisi formula that involves the inverse temperature and the Parisi measure as Legendre ... More

50 years of first passage percolationNov 10 2015Sep 23 2016We celebrate the 50th anniversary of one the most classical models in probability theory. In this survey, we describe the main results of first passage percolation, paying special attention to the recent burst of advances of the past 5 years. The purpose ... More

Universality for directed polymers in thin rectanglesApr 19 2012Apr 26 2012We consider the fluctuations of the free energy of positive temperature directed polymers in thin rectangles (N,N^{\alpha}), \alpha < 3/14. For general weight distributions with finite fourth moment we prove that the distribution of these fluctuations ... More

Poisson convergence for the largest eigenvalues of Heavy Tailed Random MatricesOct 16 2007May 07 2008We study the statistics of the largest eigenvalues of real symmetric and sample covariance matrices when the entries are heavy tailed. Extending the result obtained by Soshnikov in \cite{Sos1}, we prove that, in the absence of the fourth moment, the top ... 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

The QCD potential at O(1/m^2): Complete spin-dependent and spin-independent resultSep 12 2000Apr 11 2001Within an effective field theory framework, we obtain an expression, with O(1/m^2) accuracy, for the energies of the gluonic excitations between heavy quarks, which holds beyond perturbation theory. For the singlet heavy quark--antiquark energy, in particular, ... 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

Random Matrices and complexity of Spin GlassesMar 04 2010Nov 07 2011We give an asymptotic evaluation of the complexity of spherical p-spin spin-glass models via random matrix theory. This study enables us to obtain detailed information about the bottom of the energy landscape, including the absolute minimum (the ground ... More

The Aleph-zero or zero dichotomyApr 18 2008Nov 23 2009This paper proves the existence of a dichotomy which being formally derived from the topological successiveness of w-order leads to the same absurdity of Zeno's Dichotomy II. It also derives a contradictory result from the first Zeno's Dichotomy.

SuperswappingApr 18 2008Jan 27 2012Supertask theory is used here to prove a contradictory result which involves the consistency of w-order and the Axiom of Infinity.

Topological invariants of O'Grady's six dimensional irreducible symplectic varietyJun 02 2004Aug 08 2004We study O'Grady examples of irreducible symplectic varieties: we establish that both of them can be deformed into lagrangian fibrations. We analyse in detail the topology of the six dimensional example: in particular we compute its Euler characteristic ... More

Transfinite partitions of Jordan curvesAug 21 2006The w-asymmetry induced by transfinite partitions makes it impossible for Jordan curves to have an infinite length.

Leptons and QCDDec 12 2014Three important QCD-related aspects of the $\tau$ and $\mu$ dynamics are reviewed: the determination of the strong coupling from the hadronic tau decay width, leading to the updated value $\alpha_s(m_\tau^2) = 0.331 \pm 0.013$; the measurement of $|V_{us}|$ ... More

Distributed Space-Time Coding of Over-the-Air Superimposed Packets in Wireless NetworksMar 14 2013In this paper we propose a new cooperative packet transmission scheme that allows independent sources to superimpose over-the-air their packet transmissions. Relay nodes are used and cooperative diversity is combined with distributed space-time block ... More

General Covariance, Diffeomorphism Invariance, and Background Independence in 5 DimensionsOct 04 2014Apr 10 2015The paper considers the "GR-desideratum", that is, the way general relativity implements general covariance, diffeomorphism invariance, and background independence. Two cases are discussed where $5$-dimensional generalizations of general relativity run ... More

Darboux polynomial matrices: the classical Massive Thirring Model as study caseNov 28 2014One way of constructing explicit expressions of solutions of integrable systems of Partial Differential Equations (PDEs) goes via the Darboux method. This requires the construction of Darboux matrices. Here we introduce a novel algorithm to obtain such ... More

Plenty of Morse functions by perturbing with sums of squaresNov 16 2011Given a smooth function f on R^n and a submanifold M, we prove that the set of diagonal quadratic forms q such that the restriction of f+q to M is Morse is a dense set (in the n-dimensional space of diagonal quadratic forms). The standard transversality ... More

Convex pencils of real quadratic formsJun 23 2011Sep 06 2012We study the topology of the set X of the solutions of a system of two quadratic inequalities in the real projective space RP^n (e.g. X is the intersection of two real quadrics). We give explicit formulae for its Betti numbers and for those of its double ... More

Inflation and the Theory of Cosmological PerturbationsOct 10 2002These lectures provide a pedagogical introduction to inflation and the theory of cosmological perturbations generated during inflation which are thought to be the origin of structure in the universe.

The More Relaxed Supersymmetric Electroweak BaryogenesisMar 15 1998We reanalyze the issue of generation of the baryon asymmetry at the electroweak phase transition in the MSSM and compute the baryon asymmetry assuming the presence of non-trivial CP-violating phases in the parameters associated with the left-right stop ... More

Effective field theories for baryons with two- and three-heavy quarksAug 26 2010Oct 28 2010Baryons made of two or three heavy quarks can be described in the modern language of non-relativistic effective field theories. These, besides allowing a rigorous treatment of the systems, provide new insight in the nature of the three-body interaction ... More

Non-relativistic bound states: the long way back from the Bethe-Salpeter to the Schroedinger equationFeb 19 2009Apr 06 2009I review, in a personal perspective, the history of the theory of non-relativistic bound states in QED and QCD from the Bethe-Salpeter equation to the construction of effective field theories.

Heavy quarkonium decays and transitions in the language of effective field theoriesDec 30 2005Heavy quarkonium decays and transitions are discussed in the framework of non-relativistic effective field theories. Emphasis is put on the matching procedure in the non-perturbative regime. Some exact results valid for the magnetic dipole couplings are ... More

Open Problems in Heavy Quarkonium PhysicsDec 22 2004Some recent progress and a personal selection of open problems in heavy quarkonium physics (spectroscopy, decay and production) inspired by the activity of the Quarkonium Working Group are reviewed.

The QCD potentialSep 21 2007After reviewing the definition of the heavy quark-antiquark potential in pNRQCD, we discuss recent advances in the calculation.

Asymmetric random walks in a discrete spacetime as a model for quantum mechanicsDec 20 2013Jan 25 2015This paper presents a simple model that mimics quantum mechanics (QM) results in terms of probability fields of free particles subject to self-interference, without using Schr\"{o}dinger equation or wavefunctions. Unlike the standard QM picture, the proposed ... More

Classes of structures with no intermediate isomorphism problemsSep 16 2013We say that a theory $T$ is intermediate under effective reducibility if the isomorphism problems among its computable models is neither hyperarithmetic nor on top under effective reducibility. We prove that if an infinitary sentence $T$ is uniformly ... More

Dynamics and (de)localization in a one-dimensional tight-binding chainJul 18 2006A simple tight-binding model is used to illustrate how the time dependence of a state vector can be obtained from all the eigenvalues and eigenvectors of the Hamiltonian. The behavior of the eigenvalues and eigenvectors is studied for various parameters ... More

Energies of sp2 carbon shapes with pentagonal disclinations and elasticity theoryMar 28 2006Jun 26 2006Energies of a certain class of fullerene molecules (elongated, contracted, and regular icosahedral fullerenes) are numerically calculated using a microscopic description of carbon-carbon bonding. It is shown how these results can be interpreted and comprehended ... More

Adsorption of He atoms in external grooves of single wall carbon nanotube bundlesNov 15 2002I calculate the quantum states for He atom in the potential of an external groove of the single wall carbon nanotube bundle. The calculated ground state energy is found to be in fair agreement with the experimental estimate which suggests that the outer ... More

Icosadeltahedral geometry of fullerenes, viruses and geodesic domesNov 22 2007I discuss the symmetry of fullerenes, viruses and geodesic domes within a unified framework of icosadeltahedral representation of these objects. The icosadeltahedral symmetry is explained in details by examination of all of these structures. Using Euler's ... More

Constraining hybrid inflation models with WMAP three-year resultsOct 03 2006Jan 11 2007We reconsider the original model of quadratic hybrid inflation in light of the WMAP three-year results and study the possibility of obtaining a spectral index of primordial density perturbations, $n_s$, smaller than one from this model. The original hybrid ... More

Hint of non-standard dynamics in solar neutrino conversionJan 20 2011Apr 27 2011Motivated by the recent low-threshold measurements of the solar 8B neutrino spectrum performed by Borexino, Super-Kamiokande and the Sudbury Neutrino Observatory -- all now monitoring the transition regime between low-energy (vacuum-like) and high-energy ... More

An estimate of theta_14 independent of the reactor antineutrino flux determinationsJan 20 2012Mar 08 2012In a previous paper [Phys. Rev. D 83, 113013 (2011)] we have shown that the solar sector data (solar and KamLAND) are sensitive to the parameter theta_14, encoding the admixture of the electron neutrino with a fourth (essentially) sterile mass eigenstate. ... More

The elliptic Kirchhoff equation in $\R^N$ perturbed by a local nonlinearityJan 02 2010Apr 26 2011In this paper we present a very simple proof of the existence of at least one non trivial solution for a Kirchhoff type equation on $\RN$, for $N\ge 3$. In particular, in the first part of the paper we are interested in studying the existence of a positive ... More

CMC hypersurfaces of semi-Riemannian groupsSep 26 2012Jan 01 2014In this paper, we study the geometry of a connected oriented cmc Riemannian hypersurface $M$ of a semi-Riemannian group $G$ of Lie algebra $\mathfrak g$ and index 0 or 1. If $G$ is Riemannian and $M$ is compact and transversal to an element of $\mathfrak ... More

Hodographic VorticesAug 08 2008Jul 10 2009Vortices are screw phase dislocations associated with helicoidal wave-fronts. In nonlinear optics, vortices arise as singular solutions to the phase-intensity equations of geometric optics. They exist for a general class of nonlinear response functions. ... More

Special systems through double points on an algebraic surfaceMay 03 2006Let S be a smooth algebraic surface satisfying the following property: H^i(\oc_S(C))=0 (i=1,2) for any irreducible and reduced curve C of S. The aim of this paper is to provide a characterization of special linear systems on S which are singular along ... More

A family of acyclic functorsJun 14 2007Nov 08 2007We determine a family of functors from a poset to abelian groups such that the higher direct limits vanish on them. This is done by first characterizing the projective functors. Then a spectral sequence arising from the grading of the poset is used. Also ... More

Asymptotic cosmological solutions for string/brane gases with solitonic fluxesJan 13 2005We present new cosmological solutions for brane gases with solitonic fluxes that can dynamically explain the existence of three large spatial dimensions. This reasserts the importance of fluxes for understanding the full space of solutions in a potential ... More

The unit ball of the Hilbert space in its weak topologyMar 01 2009We show that the unit ball of a Hilbert space in its weak topology is a continuous image of the countable power of the Alexandroff compactification of a discrete set, and we deduce some combinatorial properties of its lattice of open sets which are not ... More

The number of weakly compact sets which generate a Banach spaceFeb 28 2009We consider the cardinal invariant CG(X) of the minimal number of weakly compact subsets which generate a Banach space X. We study the behavior of this index when passing to subspaces, its relation with the Lindelof number in the weak topology and other ... More

k-Colorability is Graph Automaton RecognizableJan 21 2014Automata operating on general graphs have been introduced by virtue of graphoids. In this paper we construct a graph automaton that recognizes $k$-colorable graphs.

A Topological Approach to Spectral ClusteringJun 08 2015We propose a clustering algorithm which, for input, takes data assumed to be sampled from a uniform distribution supported on a metric space $X$, and outputs a clustering of the data based on a topological estimate of the connected components of $X$. ... More

Lagrangian blow-ups, blow-downs, and applications to real packingDec 05 2010Dec 07 2012Given a symplectic manifold (M, {\omega}) and a Lagrangian submanifold L, we construct versions of the symplectic blow-up and blow-down which are defined relative to L. Furthermore, we show that if M admits an anti-symplectic involution {\phi} and we ... More

A multiplicity result for the nonlinear Klein Gordon Maxwell equationsJul 04 2014Dec 13 2014In this paper we provide a new technique to find solutions to the Klein-Gordon-Maxwell system. The method, based on an iterative argument, permits to improve previous results where the reduction method was used. We also show how this device permits to ... More

Categorification of tensor powers of the vector representation of $U_q(\mathfrak{gl}(1|1))$May 27 2013Jan 09 2015We consider the monoidal subcategory of finite dimensional representations of $U_q(\mathfrak{gl}(1|1))$ generated by the vector representation, and we provide a diagram calculus for the intertwining operators, which allows to compute explicitly the canonical ... More

An introduction to the dark energy problemFeb 13 2008In this work we review briefly the origin and history of the cosmological constant and its recent reincarnation in the form of the dark energy component of the universe. We also comment on the fundamental problems associated to its existence and magnitude ... More

Nonlocal low-energy effective action for gravity with torsionDec 21 1997Oct 22 1999In this work we calculate the low-energy effective action for gravity with torsion, obtained after the integration of scalar and fermionic matter fields, using the local momentum representation based on the Riemann normal coordinates expansion. By considering ... More

An elementary introduction to the Holographic PrincipleJun 03 2005In this work we review at an elementary level the origin, main ideas and present status of the so called holographic principle. This principle, even in the absence of a precise formulation, is seen by many people as a major clue for the understanding ... 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.

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

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.

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

A real viewpoint on the intersection of complex quadrics and its topologyJun 09 2011We study the relation between a complex projective set C in CP^n and the set R in RP^(2n+1) defined by viewing each equation of C as a pair of real equations. Once C is presented by quadratic equations, we can apply a spectral sequence to efficiently ... More

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 $L^p_{\text{rad}}L^2_{\text{ang}}(\mathbb{R}^n)$, $n\geq 2$.

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

Um Erro Com Um SeculoOct 03 2008The "rigid bodies" must be in Relativity the "deformable bodies" where the longitudinal waves propagate with the maximun speed $c$. In 1909, Born studied the "relativistic underformable body" but made the mistake of calling it "rigid". The "rigid body" ... More

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

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

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

Critical phenomena of thick branes in warped spacetimesNov 22 2001Apr 15 2002We have investigated the effects of a generic bulk first-order phase transition on thick Minkowski branes in warped geometries. As occurs in Euclidean space, when the system is brought near the phase transition an interface separating two ordered phases ... 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

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.

Integral identities for 3d dualities with SP(2N) gauge groupsSep 07 2015Sep 13 2015In this note we study the reduction of 4d Seiberg duality to 3d for SP(2N) SQCD with an adjoint field. We follow a general prescription that consists in compactifying the dual 4d theories on the circle. This generates an effective 3d duality. The pure ... More

Optimization in the Loop: Implementing and Testing Scheduling Algorithms with SimuLTESep 11 2015One of the main purposes of discrete event simulators such as OMNeT++ is to test new algorithms or protocols in realistic environments. These often need to be benchmarked against optimal/theoretical results obtained by running commercial optimization ... 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

On a prescribed mean curvature equation in Lorentz-Minkowski spaceJun 25 2015We are interested in providing new results on a prescribed mean curvature equation in Lorentz-Minkowski space set in the whole R^N, with N >2. We study both existence and multiplicity of radial ground state solutions for p>1, emphasizing the fundamental ... 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

Many body quantum physics in XANES of highly correlated materials, mixed valence oxides and high temperature superconductorsMay 22 2016The x-ray absorption near edge structure (XANES), developed in these last 40 years using synchrotron radiation, is a unique tool probing electronic correlations in complex systems via quantum many body final state effects. Multi electron excitations have ... More

Light flavor results in p-Pb collisions with ALICEDec 22 2015Particle ratios provide insight into the hadrochemistry of the event and the mechanisms for particle production. In Pb-Pb collisions the relative multi-strange baryon yields exhibit an enhancement with respect to pp collisions, whereas the short-lived ... More

Unipotent representations of Lie incidence geometriesJul 25 2013If a geometry $\Gamma$ is isomorphic to the residue of a point $A$ of a shadow geometry of a spherical building $\Delta$, a representation $\varepsilon_\Delta^A$ of $\Gamma$ can be given in the unipotent radical $U_{A^*}$ of the stabilizer in $\mathrm{Aut}(\Delta)$ ... 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

Coleman Maps for Modular Forms at Supersingular Primes over Lubin-Tate ExtensionsAug 01 2009Jul 12 2010Given an elliptic curve with supersingular reduction at an odd prime p, Iovita and Pollack have generalised results of Kobayashi to define even and odd Coleman maps at p over Lubin-Tate extensions given by a formal group of height 1. We generalise this ... 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

On the canonical discussion of polynomial systems with parametersJan 27 2006May 09 2007Given a parametric polynomial ideal I, the algorithm DISPGB, introduced by the author in 2002, builds up a binary tree describing a dichotomic discussion of the different reduced Groebner bases depending on the values of the parameters, whose set of terminal ... 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

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.