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Vanishing ideals of binary Hamming spheresFeb 08 2018We show how to efficiently obtain the Algebraic Normal Form of Boolean functions vanishing on Hamming spheres centred at zero. By exploiting the symmetry of the problem we obtain formulas for particular cases, and a computational method to address the ... More

Binary linear code weight distribution estimation by random bit stream compressionJun 06 2018A statistical estimation algorithm of the weight distribution of a linear code is shown, based on using its generator matrix as a compression function on random bit strings.

Type-Preserving Matrices and Security of Block CiphersMar 02 2018Nov 30 2018We provide a new property, called Non-Type-Preserving, for a mixing layer which guarantees protection against algebraic attacks based on the imprimitivity of the group generated by the round functions. Our main result is to present necessary and sufficient ... More

Dynamic modulation of electron correlation by intramolecular modes in charge transfer compoundsNov 17 1999Electron-phonon and electron-electron interactions are in competition in determining the properties of molecular charge transfer conductors and superconductors. The direct influence of phonons on the electron-electron interaction was not before considered ... More

On optimal nonlinear systematic codesJun 10 2015Feb 11 2016Most bounds on the size of codes hold for any code, whether linear or not. Notably, the Griesmer bound holds only in the linear case and so optimal linear codes are not necessarily optimal codes. In this paper we identify code parameters $(q,d,k)$, namely ... More

Code generator matrices as entropy extractorsFeb 05 2015We show the connection between the Walsh spectrum of the output of a binary random number generator (RNG) and the bias of individual bits, and use this to show how previously known bounds on the performance of linear binary codes as entropy extractors ... More

A weight-distribution bound for entropy extractors using linear binary codesMay 12 2014We consider a bound on the bias reduction of a random number generator by processing based on binary linear codes. We introduce a new bound on the total variation distance of the processed output based on the weight distribution of the code generated ... More

Code generator matrices as RNG conditionersFeb 05 2015Mar 02 2017We quantify precisely the distribution of the output of a binary random number generator (RNG) after conditioning with a binary linear code generator matrix by showing the connection between the Walsh spectrum of the resulting random variable and the ... More

Reconciling extremely different concentration-mass relationsMar 25 2013The concentration-mass relations proposed by Prada et al. (2012) and by Duffy et al. (2008) on the scales of galaxy clusters show some of the largest discrepancies among all the works present in literature. This is surprising because they are both derived ... More

Two-tier blockchain timestamped notarization with incremental securityFeb 08 2019Digital notarization is one of the most promising services offered by modern blockchain-based solutions. We present a digital notary design with incremental security and cost reduced with respect to current solutions. A client of the service receives ... More

On the Griesmer bound for nonlinear codesJan 18 2015Most bounds on the size of codes hold for any code, whether linear or nonlinear. Notably, the Griesmer bound, holds only in the linear case. In this paper we characterize a family of systematic nonlinear codes for which the Griesmer bound holds. Moreover, ... More

On a conjecture of Wilf about the Frobenius numberAug 22 2014May 20 2015Given coprime positive integers $a_1 < ...< a_d$, the Frobenius number $F$ is the largest integer which is not representable as a non-negative integer combination of the $a_i$. Let $g$ denote the number of all non-representable positive integers: Wilf ... More

Constraining cosmological models using arc statistics in future SZ cluster surveysSep 17 2001Upcoming wide-area surveys in the submillimetre regime will allow the construction of complete galaxy cluster samples through their thermal Sunyaev-Zel'dovich effect. We propose an analytic method to predict the number of gravitationally lensed giant ... More

The Tait conjecture in g(S^1xS^2)Feb 09 2016The Tait conjecture states that alternating reduced diagrams of links in S^3 have the minimal number of crossings. It has been proved in 1987 by M. Thistlethwaite, L. Kauffman and K. Murasugi studying the Jones polynomial. The author proved an analogous ... More

Charge Orbits and Moduli Spaces of Black Hole AttractorsDec 16 2010Dec 28 2010We report on the theory of "large" U-duality charge orbits and related "moduli spaces" of extremal black hole attractors in N = 2, d = 4 Maxwell-Einstein supergravity theories with symmetric scalar manifolds, as well as in N > 3-extended, d = 4 supergravities. ... More

Spin-Bits and N=4 SYMApr 24 2006May 04 2006We briefly review the spin-bit formalism, describing the non-planar dynamics of the $\mathcal{N}=4,d=4$ Super Yang-Mills SU(N) gauge theory. After considering its foundations, we apply such a formalism to the $su(2)$ sector of purely scalar operators. ... More

Detecting multimode entanglement by symplectic uncertainty relationsAug 31 2005Aug 17 2006A hierarchy of multimode uncertainty relations on the second moments of n pairs of canonical operators is derived in terms of quantities invariant under linear canonical (i.e. symplectic) transformations. Conditions for the separability of multimode continuous ... More

Inference for Additive Models in the Presence of Infinite Dimensional Nuisance ParametersNov 07 2016A framework for hypothesis testing of functional restrictions against general alternatives is proposed. The parameter space is a reproducing kernel Hilbert space. The null the hypothesis does not necessarily define a parametric model. The tests allow ... More

Torsional instability and sensitivity analysis in a suspension bridge model related to the Melan equationJul 19 2018Inspired by the Melan equation we propose a model for suspension bridges with two cables linked to a deck, through inextensible hangers. We write the energy of the system and we derive from variational principles two nonlinear and nonlocal hyperbolic ... More

Coupled nonlinear Schrodinger systems with potentialsJun 01 2005Coupled nonlinear Schrodinger systems describe some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photorefractive media in optics and Bose-Einstein condensates. In this paper, we study the existence of concentrating ... More

Semistable 3-fold flipsMay 31 1995We piece together ingredients, which are well known and documented in the literature, into a new proof of the existence of semistable 3-fold flips

The $ω$-Borel invariant for representations into $SL(n,\mathbb{C}_ω)$Sep 22 2017Let $\Gamma$ be the fundamental group of a complete hyperbolic $3$-manifold $M$ with toric cusps. We define the $\omega$-Borel invariant $\beta_n^\omega(\rho_\omega)$ associated to a representation $\rho_\omega: \Gamma \rightarrow SL(n,\mathbb{C}_\omega)$, ... More

Weak Convergence of Laws on R^{K} with Common MarginalsJun 19 2006We present a result on topologically equivalent integral metrics (Rachev, 1991, Muller, 1997) that metrize weak convergence of laws with common marginals. This result is relevant for applications, as shown in a few simple examples.

On the Continuity of Center-Outward Distribution and Quantile FunctionsMay 13 2018To generalize the notion of distribution function to dimension $d\geq 2$, in the recent papers it was proposed a concept of center-outward distribution function based on optimal transportation ideas, and the inferential properties of the corresponding ... More

Ground states for a system of nonlinear Schrodinger equations with three waves interactionOct 19 2009We consider a system of nonlinear Schrodinger equations with three waves interaction studying the existence of ground state solutions. In particular, we find a vector ground state, namely a ground state with the three components all different from zero. ... More

Stationary layered solutions for a system of Allen-Cahn type equationsNov 25 2012Dec 03 2012We consider a class of semilinear elliptic system of the form $-\Delta u(x,y)+\nabla W(u(x,y))=0,\quad (x,y)\in\R^{2}$ where $W:\R^{2}\to\R$ is a double well non negative symmetric potential. We show, via variational methods, that if the set of solutions ... More

Freudenthal Duality in Gravity: from Groups of Type E7 to Pre-Homogeneous SpacesSep 03 2015Sep 29 2015Freudenthal duality can be defined as an anti-involutive, non-linear map acting on symplectic spaces. It was introduced in four-dimensional Maxwell-Einstein theories coupled to a non-linear sigma model of scalar fields. In this short review, I will consider ... More

Finite generation of adjoint rings after Lazic: an introductionJun 26 2010An introduction to all the key ideas of Lazic's proof of the theorem on the finite generation of adjoint rings.

The shear modulus of metastable amorphous solids with strong central and bond-bending interactionsJul 23 2008Feb 17 2009We derive expressions for the shear modulus of deeply-quenched, glassy solids, in terms of a Cauchy-Born free energy expansion around a rigid (quenched) reference state, following the approach due to Alexander [Alexander, Phys. Rep. 296, 1998]. Continuum-limit ... More

A System of Interaction and StructureOct 28 1999Jan 27 2007This paper introduces a logical system, called BV, which extends multiplicative linear logic by a non-commutative self-dual logical operator. This extension is particularly challenging for the sequent calculus, and so far it is not achieved therein. It ... More

Inference for Additive Models in the Presence of Possibly Infinite Dimensional Nuisance ParametersNov 07 2016Aug 20 2018A framework for estimation and hypothesis testing of functional restrictions against general alternatives is proposed. The parameter space is a reproducing kernel Hilbert space (RKHS). The null hypothesis does not necessarily define a parametric model. ... More

Blowup algebras of rational normal scrollsOct 13 2016Sep 09 2018We determine the equations of the blowup of $\mathbb{P}^n$ along a $d$-fold rational normal scroll $S$, and we prove that the Rees ring and special fiber ring of $S \subseteq \mathbb{P}^n$ are Koszul algebras.

Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheresJan 18 2016Let $\Box_b$ be the Kohn Laplacian acting on $(0,j)$-forms on the unit sphere in $\mathbb{C}^n$. In a recent paper of Casarino, Cowling, Sikora and the author, a spectral multiplier theorem of Mihlin--H\"ormander type for $\Box_b$ is proved in the case ... More

Greedy algorithms for predictionFeb 05 2016In many prediction problems, it is not uncommon that the number of variables used to construct a forecast is of the same order of magnitude as the sample size, if not larger. We then face the problem of constructing a prediction in the presence of potentially ... More

Minimal relations and the Diophantine Frobenius Problem in embedding dimension threeAug 22 2016Aug 24 2016This paper provides a formula for the minimal relations and the Frobenius number of a numerical semigroup minimally generated by three pairwise coprime positive integers.

Singularly perturbed Neumann problems with potentialsOct 08 2003We study the existence of concentrating solutions of a singularly perturbed Neumann problems with two potentials.

Algebras of differential operators on Lie groups and spectral multipliersJul 07 2010This thesis is devoted to the study of joint spectral multipliers for a system of pairwise commuting, self-adjoint left-invariant differential operators L_1,...,L_n on a connected Lie group G. Under the assumption that the algebra generated by L_1,...,L_n ... More

Spectral multipliers on Heisenberg-Reiter and related groupsDec 04 2012Let $L$ be a homogeneous sublaplacian on a 2-step stratified Lie group $G$ of topological dimension $d$ and homogeneous dimension $Q$. By a theorem due to Christ and to Mauceri and Meda, an operator of the form $F(L)$ is bounded on $L^p$ for $1 < p < ... More

Generalized uncertainty inequalitiesApr 05 2008In this paper, Heisenberg-Pauli-Weyl-type uncertainty inequalities are obtained for a pair of positive-self adjoint operators on a Hilbert space, whose spectral projectors satisfy a ``balance condition'' involving certain operator norms. This result is ... More

On first attempts to reconcile quantum principles with gravitySep 26 2013In his 1916's first paper on gravitational waves Einstein began to speculate on interactions between the principles of the old quantum theory and his theory of gravitation. With this contribution Einstein has stimulated a lot of similar speculations, ... More

9 generators of the skein space of the 3-torusMar 31 2016We show that the skein vector space of the 3-torus is finitely generated. We show that it is generated by 9 elements: the empty set, some simple closed curves representing the non null elements of the first homology group with coefficients in \Z_2, and ... More

A Real-Time, GPU-Based, Non-Imaging Back-End for Radio TelescopesJan 31 2014Since the discovery of RRATs, interest in single pulse radio searches has increased dramatically. Due to the large data volumes generated by these searches, especially in planned surveys for future radio telescopes, such searches have to be conducted ... More

Rigidity at infinity for lattices in rank-one Lie groupsNov 03 2017Jun 21 2018Let $\Gamma$ be a non-uniform lattice in $PU(p,1)$ without torsion and with $p\geq2 $. We introduce the notion of volume for a representation $\rho:\Gamma \rightarrow PU(m,1)$ where $m \geq p$. We use this notion to generalize the Mostow--Prasad rigidity ... More

Del Pezzo surfaces over Dedekind schemesMay 31 1995Let S be a Dedekind scheme with fraction field K. We study the following problem: given a Del Pezzo surface X, defined over K, construct a distinguished integral model of X, defined over all of S. We provide a satisfactory answer if S is a smooth complex ... More

Schrodinger equation with critical Sobolev exponentJan 22 2004In this paper we study the existence of solutions and their concentration phenomena of a singularly perturbed semilinear Schrodinger equation with the presence of the critical Sobolev exponent.

s-Hankel hypermatrices and 2 x 2 determinantal idealsOct 16 2012Jun 11 2016We introduce the concept of s-Hankel hypermatrix, which generalizes both Hankel matrices and generic hypermatrices. We study two determinantal ideals associated to an s-Hankel hypermatrix: the ideal I<s,t> generated by certain 2 x 2 slice minors, and ... More

Patterns on the numerical duplication by their admissibility degreeJan 29 2019We develop the theory of patterns on numerical semigroups in terms of the admissibility degree. We prove that the Arf pattern induces every strongly admissible pattern, and determine all patterns equivalent to the Arf pattern. We study patterns on the ... More

On the multiplicity of tangent cones of monomial curvesNov 29 2017Sep 09 2018Let $\Lambda$ be a numerical semigroup, $\mathcal{C}\subseteq \mathbb{A}^n$ the monomial curve singularity associated to $\Lambda$, and $\mathcal{T}$ its tangent cone. In this paper we provide a sharp upper bound for the least positive integer in $\Lambda$ ... More

The symmetric signatureJun 10 2016This is the author's Ph.D. thesis. We introduce two related invariants for local (and standard graded) rings called differential and syzygy symmetric signature. These are defined by looking at the maximal free splitting of the module of K\"ahler differentials ... More

The LHCb UpgradeOct 01 2013The LHCb experiment is designed to perform high-precision measurements of CP violation and search for New Physics using the enormous flux involving beauty and charm quarks produced at the LHC. The operation and the results obtained from the data collected ... More

Weber's formula for the bitangents of a smooth plane quarticDec 06 2016In a section of his 1876 treatise Theorie der Abel'schen Functionen vom Geschlecht 3 Weber proved a formula that expresses the bitangents of a non-singular plane quartic in terms of Riemann theta constants (Thetanullwerte). The present note is devoted ... More

Blowup algebras of rational normal scrollsOct 13 2016We investigate the algebraic relations among the minors of a $2 \times c$ matrix with $d$ catalecticant blocks, which define a $d$-fold rational normal scroll $\mathcal{S}\subseteq \mathbb{P}^{c+d- 1}$. We determine the equations of the blowup of $\mathbb{P}^{c+d-1}$ ... More

Analysis of joint spectral multipliers on Lie groups of polynomial growthOct 06 2010Dec 19 2010We study the problem of L^p-boundedness (1 < p < \infty) of operators of the form m(L_1,...,L_n) for a commuting system of self-adjoint left-invariant differential operators L_1,...,L_n on a Lie group G of polynomial growth, which generate an algebra ... More

Oscillating solutions for prescribed mean curvature equations: Euclidean and Lorentz-Minkowski casesSep 20 2017Feb 25 2018This paper deals with the prescribed mean curvature equations both in the Euclidean case and in the Lorentz-Minkowski case in presence of a nonlinearity $g$ such that $g'(0)>0$. We show the existence of oscillating solutions, namely with an unbounded ... More

Consecutive cancellations in Tor modules over local ringsMay 17 2016Let $M, N$ be finite modules over a Noetherian local ring $R$, and let $G$ be the associated graded ring of $R$. We show that the bigraded Hilbert series of $gr(Tor^R(M,N))$ is obtained from that of $Tor^G(gr(M),gr(N))$ by negative consecutive cancellations, ... More

Predicting the number of giant arcs expected in the next generation wide-field surveys from spaceSep 12 2012Nov 07 2012In this paper we estimate the number of gravitational arcs detectable in a wide-field survey such as that which will be operated by the Euclid space mission, assuming a {\Lambda}CDM cosmology. We use the publicly available code MOKA to obtain realistic ... More

A fast method for computing strong-lensing cross sections: Application to merging clustersJul 05 2005Oct 06 2005Strong gravitational lensing by irregular mass distributions, such as galaxy clusters, is generally not well quantified by cross sections of analytic mass models. Computationally expensive ray-tracing methods have so far been necessary for accurate cross-section ... More

Cosmology in 2D: the concentration-mass relation for galaxy clustersMay 10 2012Jul 30 2012The aim of this work is to perform a systematic study of the measures of the mass and concentration estimated by fitting the convergence profile of a large sample of mock galaxy cluster size lenses, created with the publicly available code MOKA. We found ... More

MOKA: a new tool for Strong Lensing StudiesSep 01 2011Jan 16 2012Strong gravitational lensing is a powerful tool for probing the matter distribution in the cores of massive dark matter haloes. Recent and ongoing analyses of galaxy cluster surveys (MACS, CFHTLS, SDSS, SGAS, CLASH, LoCuSS) have adressed the question ... More

Searching dark-matter halos in the GaBoDS surveyJul 12 2006We apply the linear filter for the weak-lensing signal of dark-matter halos developed in Maturi et al. (2005) to the cosmic-shear data extracted from the Garching-Bonn-Deep-Survey (GaBoDS). We wish to search for dark-matter halos through weak-lensing ... More

The strongest gravitational lenses: III. The order statistics of the largest Einstein radiiMar 18 2014The Einstein radius (ER) of a gravitational lens encodes information about decisive quantities such as halo mass, concentration, triaxiality, and orientation with respect to the observer. Thus, the largest Einstein radii can potentially be utilised to ... More

X-ray and strong lensing mass estimate of MS2137.3-2353Feb 24 2009We present new mass estimates of the galaxy cluster MS2137.3-2353, inferred from X-ray and strong lensing analyses. This cluster exhibits an outstanding strong lensing configuration and indicates a well-relaxed dynamical state, being most suitable for ... More

Breaking of Goldstone modes in two component Bose-Einstein condensateSep 07 2016We study the decay rate $\Gamma(k)$ of density excitations of two-component Bose-Einstein condensates at zero temperature. Those excitations, where the two components oscillate in phase, include the Goldstone mode resulting from condensation. While within ... More

Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operatorsApr 05 2012We study the Grushin operators acting on $\R^{d_1}_{x'}\times \R^{d_2}_{x"}$ and defined by the formula \[ L=-\sum_{\jone=1}^{d_1}\partial_{x'_\jone}^2 - (\sum_{\jone=1}^{d_1}|x'_\jone|^2) \sum_{\jtwo=1}^{d_2}\partial_{x"_\jtwo}^2. \] We obtain weighted ... More

Regularity of solutions to the parabolic fractional obstacle problemJan 26 2011In this paper we study a parabolic version of the fractional obstacle problem, proving almost optimal regularity for the solution. This problem is motivated by an American option model proposed by Menton which introduces, into the theory of option evaluation, ... More

The Cold Spot as a Large Void: Lensing Effect on CMB Two and Three Point Correlation FunctionsMay 07 2009Jul 01 2010The "Cold Spot" in the CMB sky could be due to the presence of an anomalous huge spherical underdense region - a "Void" - of a few hundreds Mpc/h radius. Such a structure would have an impact on the CMB two-point (power spectrum) and three-point (bispectrum) ... More

Inflation from the Higgs field false vacuum with hybrid potentialApr 18 2012Nov 20 2012We have recently suggested [1,2] that Inflation could have started in a local minimum of the Higgs potential at field values of about $10^{15}-10^{17}$ GeV, which exists for a narrow band of values of the top quark and Higgs masses and thus gives rise ... More

Detecting the Cold Spot as a Void with the Non-Diagonal Two-Point FunctionJul 01 2010Sep 03 2010The anomaly in the Cosmic Microwave Background known as the "Cold Spot" could be due to the existence of an anomalously large spherical (few hundreds Mpc/h radius) underdense region, called a "Void" for short. Such a structure would have an impact on ... More

A Cloud-Based and RESTful Internet of Things Platform to Foster Smart Grid Technologies Integration and Re-UsabilityJun 21 2016Jun 27 2016Currently, one of the hottest topics in the Internet of Things (IoT) research domain regards the issue to overcome the heterogeneity of proprietary technologies and systems so as to enable the integration of applications and devices developed for different ... More

On the genetic optimization of APSK constellations for satellite broadcastingJan 28 2015Both satellite transmissions and DVB applications over satellite present peculiar characteristics that could be taken into consideration in order to further exploit the optimality of the transmission. In this paper, starting from the state-of-the-art, ... More

On the stability of asynchronous Random Access SchemesJan 28 2015Slotted Aloha-based Random Access (RA) techniques have recently regained attention in light of the use of Interference Cancellation (IC) as a mean to exploit diversity created through the transmission of multiple burst copies per packet content (CRDSA). ... More

Matrix Norms, BPS Bounds and Marginal Stability in N=8 SupergravitySep 16 2010Dec 01 2010We study the conditions of marginal stability for two-center extremal black holes in N-extended supergravity in four dimensions, with particular emphasis on the N=8 case. This is achieved by exploiting triangle inequalities satisfied by matrix norms. ... More

Lecture notes on variational models for incompressible Euler equationsSep 17 2010These notes briefly summarize the lectures for the Summer School "Optimal transportation: Theory and applications" held by the second author in Grenoble during the week of June 22-26, 2009. Their goal is to describe some recent results on Brenier's variational ... More

Cosmological parameter estimation: impact of CMB aberrationOct 09 2012Jun 12 2013The peculiar motion of an observer with respect to the CMB rest frame induces an apparent deflection of the observed CMB photons, {\it i.e.} aberration, and a shift in their frequency, {\it i.e.} Doppler effect. Both effects distort the temperature multipoles ... More

A quantum Langevin model for non-equilibrium condensationMay 27 2014Nov 28 2014We develop a quantum model for non-equilibrium Bose-Einstein condensation of photons and polaritons in planar microcavity devices. The model builds upon laser theory and includes the spatial dynamics of the cavity field, a saturation mechanism and some ... More

Pure spinor superstring in AdS_4 x CP^3 with unconstrained ghostsSep 17 2012We construct the action for the pure spinor superstring in the coset description of AdS_4 x CP^3 superspace, using the variables which solve the pure spinor condition. As a test of the consistency of the approach, we use the background field method to ... More

How to reconcile Information theory and Gibbs-Herz entropy for inverted populated systemsMar 10 2015In this paper we discuss about the validity of the Shannon entropy functional in connection with the correct Gibbs-Hertz probability distribution function. We show that there is no contradiction in using the Shannon-Gibbs functional and restate the validity ... More

Shadows, ribbon surfaces, and quantum invariantsApr 23 2014Mar 19 2015Eisermann has shown that the Jones polynomial of a $n$-component ribbon link $L\subset S^3$ is divided by the Jones polynomial of the trivial $n$-component link. We improve this theorem by extending its range of application from links in $S^3$ to colored ... More

A double-layer reduced model for fault flow on slipping domains with hybrid finite volume schemeSep 18 2017In this work we are interested in dealing with single-phase flows in fractured porous media for underground processes. We focus our attention on domains where the presence of faults, with thickness several orders of magnitude smaller than other characteristic ... More

Richness of Deep Echo State Network DynamicsMar 12 2019Reservoir Computing (RC) is a popular methodology for the efficient design of Recurrent Neural Networks (RNNs). Recently, the advantages of the RC approach have been extended to the context of multi-layered RNNs, with the introduction of the Deep Echo ... More

Long range correlations generated by phase separation. Exact results from field theoryJul 05 2016We consider near-critical planar systems with boundary conditions inducing phase separation. While order parameter correlations decay exponentially in pure phases, we show by direct field theoretical derivation how phase separation generates long range ... More

Universal origin of boson peak vibrational anomalies in ordered crystals and in amorphous materialsOct 22 2018Mar 22 2019The vibrational spectra of solids, both ordered and amorphous, in the low-energy regime, control the thermal and transport properties of materials, from heat capacity to heat conduction, electron-phonon couplings, conventional superconductivity etc. The ... More

Invariant measures of Hamiltonian systems with prescribed asymptotic Maslov indexSep 29 2007Jan 19 2008We study the properties of the asymptotic Maslov index of invariant measures for time-periodic Hamiltonian systems on the cotangent bundle of a compact manifold M. We show that if M has finite fundamental group and the Hamiltonian satisfies some general ... More

Spectral multiplier theorems of Euclidean type on new classes of 2-step stratified groupsJun 03 2013Apr 22 2014From a theorem of Christ and Mauceri and Meda it follows that, for a homogeneous sublaplacian $L$ on a $2$-step stratified group $G$ with Lie algebra $\mathfrak{g}$, an operator of the form $F(L)$ is of weak type $(1,1)$ and bounded on $L^p(G)$ for $1 ... More

A probabilistic interpretation of set-membership filtering: application to polynomial systems through polytopic boundingMay 05 2015Apr 12 2016Set-membership estimation is usually formulated in the context of set-valued calculus and no probabilistic calculations are necessary. In this paper, we show that set-membership estimation can be equivalently formulated in the probabilistic setting by ... More

A unified framework for deterministic and probabilistic D-stability analysis of uncertain polynomial matricesApr 07 2016Jun 17 2018Many problems in systems and control theory can be formulated in terms of robust D-stability analysis, which aims at verifying if all the eigenvalues of an uncertain matrix lie in a given region D of the complex plane. Robust D-stability analysis is an ... More

Prediction of Seasonal Temperature Using Soft Computing Techniques: Application in Benevento (Southern Italy) AreaNov 15 2016In this work two soft computing methods, Artificial Neural Networks and Genetic Programming, are proposed in order to forecast the mean temperature that will occur in future seasons. The area in which the soft computing techniques were applied is that ... More

On a class of singularly perturbed elliptic equations in divergence formMar 17 2003May 02 2003We prove the existence of one or more solutions to a singularly perturbed elliptic problema with two potential functions.

Del Pezzo surfaces with 1/3(1,1) pointsMay 08 2015Oct 06 2015We classify del Pezzo surfaces with 1/3(1,1) points in 29 qG-deformation families grouped into six unprojection cascades (this overlaps with work of Fujita and Yasutake), we tabulate their biregular invariants, we give good model constructions for surfaces ... More

Syzygies in Hilbert schemes of complete intersectionsMar 20 2019Let $ d_1, \ldots, d_{c} $ be positive integers and let $ Y \subseteq \mathbb{P}^n$ be the monomial complete intersection defined by the vanishing of $x_1^{d_1}, \ldots, x_{c}^{d_{c}}$. For each Hilbert polynomial $p(\zeta)$ we construct a distinguished ... More

Ground state solutions for the nonlinear Klein-Gordon-Maxwell equationsOct 07 2008In this paper we prove the existence of a ground state solution for the nonlinear Klein-Gordon-Maxwell equations in the electrostatic case.

Gradient stability for the Sobolev inequality: the case $p\geq 2$Oct 07 2015Oct 02 2016We prove a strong form of the quantitative Sobolev inequality in $\mathbb{R}^n$ for $p\geq 2$, where the deficit of a function $u\in \dot W^{1,p} $ controls $\| \nabla u -\nabla v\|_{L^p}$ for an extremal function $v$ in the Sobolev inequality.

Exceptional Lie Algebras at the very Foundations of Space and TimeJun 29 2015While describing the results of our recent work on exceptional Lie and Jordan algebras, so tightly intertwined in their connection with elementary particles, we will try to stimulate a critical discussion on the nature of spacetime and indicate how these ... More

Potential Games for Energy-Efficient Resource Allocation in Multipoint-to-Multipoint CDMA Wireless Data NetworksMay 10 2011The problem of noncooperative resource allocation in a multipoint-to-multipoint cellular network is considered in this paper. The considered scenario is general enough to represent several key instances of modern wireless networks such as a multicellular ... More

Quantum Harmonic Black Holes (Proceeding of the Karl Schwarzschild Meeting 2013)Oct 23 2013Inspired by the recent conjecture that black holes are condensates of gravitons, we investigate a simple model for the black hole degrees of freedom that is consistent both from the point of view of Quantum mechanics and of General Relativity. Since the ... More

The Fermi-polaron in two dimensions: Importance of the two-body bound stateMay 17 2011Sep 13 2011We investigate a single impurity interacting with a free two-dimensional atomic Fermi gas. The interaction between the impurity and the gas is characterized by an arbitrary attractive short-range potential, which, in two dimensions, always admits a two-particle ... More

"Swiss-Cheese" Inhomogeneous Cosmology & the Dark Energy ProblemFeb 21 2007We study an exact swiss-cheese model of the Universe, where inhomogeneous LTB patches are embedded in a flat FLRW background, in order to see how observations of distant sources are affected. We find negligible integrated effect, suppressed by (L/R_{H})^3 ... More

Longitudinal quantile regression in presence of informative drop-out through longitudinal-survival joint modelingApr 04 2014We propose a joint model for a time-to-event outcome and a quantile of a continuous response repeatedly measured over time. The quantile and survival processes are associated via shared latent and manifest variables. Our joint model provides a flexible ... More

On Some Scalar Field Equations with Competing CoefficientsAug 05 2015Oct 20 2015This paper deals with semilinear elliptic problems of the type \[ \left\{ \begin{array}{ll} -\Delta u+\alpha(x)u= \beta (x)|u|^{p-1}u \quad \hbox{in }\mathbb{R}^N, u(x)>0\quad\hbox{in } \mathbb{R}^N, \qquad u \in H^1(\mathbb{R}^N), \end{array} \right. ... More

Ab-initio description of hole localization and Zhang-Rice singlets in one-dimensional doped cupratesMar 04 2008We present the first ab-initio band-theory-based description of spin-compensated polarons (known as Zhang-Rice singlets) in a hole-doped cuprate, specifically one-dimensional Ca_{2+x} Y_{2-x} Cu_5 O_10. Zhang-Rice singlets are many-particle configurations ... More