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Mixed quasi-étale surfaces, new surfaces of general type with $p_g=0$ and their fundamental groupMay 06 2011Apr 23 2013We call a projective surface $X$ mixed quasi-\'etale quotient if there exists a curve $C$ of genus $g(C)\geq 2$ and a finite group $G$ that acts on $C\times C$ exchanging the factors such that $X=(C\times C)/G$ and the map $C\times C \rightarrow X$ has ... More

Mixed quasi-étale quotients with arbitrary singularitiesFeb 15 2013Nov 19 2013A mixed quasi-\'etale quotient is the quotient of the product of a curve of genus at least 2 with itself by the action of a group which exchanges the two factors and acts freely out of a finite subset. A mixed quasi-\'etale surface is the minimal resolution ... More

On Semi-isogenous mixed surfacesOct 30 2015Let $C$ be a smooth projective curve and $G$ a finite subgroup of $\mathrm{Aut}(C)^2\rtimes \mathbb Z_2$ whose action is $\textit{mixed}$, i.e. there are elements in $G$ exchanging the two isotrivial fibrations of $C\times C$. Let $G^0\triangleleft G$ ... More

Bloch's conjecture for Generalized Burniat Type surfaces with $p_g=0$Aug 04 2014The aim of this article is to prove Bloch's conjecture, asserting that the group of rational equivalence classes of zero cycles of degree 0 is trivial for surfaces with geometric genus zero, for regular generalized Burniat type surfaces. The technique ... More

On Threefolds Isogenous to a Product of CurvesDec 19 2014Mar 08 2017A threefold isogenous to a product of curves $X$ is a quotient of a product of three compact Riemann surfaces of genus at least two by the free action of a finite group. In this paper we study these threefolds under the assumption that the group acts ... More

On Semi-isogenous mixed surfacesOct 30 2015Jul 07 2017Let $C$ be a smooth projective curve and $G$ a finite subgroup of $\mathrm{Aut}(C)^2\rtimes \mathbb Z_2$ whose action is \textit{mixed}, i.e.~there are elements in $G$ exchanging the two isotrivial fibrations of $C\times C$. Let $G^0\triangleleft G$ be ... More

On Threefolds Isogenous to a Product of CurvesDec 19 2014Jan 14 2015A threefold isogenous to a product of curves $X$ is a quotient of a product of three compact Riemann surfaces of genus at least $2$ by the free action of a finite group. In this paper we study these threefolds under the assumption that the group acts ... More

A family of threefolds of general type with canonical map of high degreeFeb 08 2019In this note we provide a two-dimensional family of smooth minimal threefolds of general type with canonical map of degree 96, improving the previous known bound of 72.

On the non-existence of orthogonal instanton bundles on P^(2N+1)Dec 11 2009In this paper we prove that there do not exist orthogonal instanton bundles on P^(2n+1) . In order to demonstrate this fact, we propose a new way of representing the invariant, introduced by L. Costa and G. Ottaviani, related to a rank 2n instanton bundle ... More

Generalized Burniat type surfaces and Bagnera-de Franchis varietiesSep 03 2014Jan 23 2015In this article we construct three new families of surfaces of general type with p_g = q = 0,K^2 = 6, and seven new families of surfaces of general type with p_g = q = 1, K^2 = 6, realizing 10 new fundamental groups. We also show that these families correspond ... More

The fundamental group and torsion group of Beauville surfacesFeb 10 2014Mar 03 2014We give a survey on the fundamental group of surfaces isogenous to a higher product. If the surfaces are regular, e.g. if they are Beauville surfaces, the first homology group is a finite group. We present a MAGMA script which calculates the first homology ... More

Activation of a muscle as a mapping of stress-strain curvesFeb 19 2019The mathematical modeling of the contraction of a muscle is a crucial problem in biomechanics. Several different models of muscle activation exist in literature. A possible approach to contractility is the so-called active strain: it is based on a multiplicative ... More

Feedback based Reputation on top of the Bitcoin BlockchainFeb 05 2015Feb 10 2015The ability to assess the reputation of a member in a web community is a need addressed in many different ways according to the many different stages in which the nature of communities has evolved over time. In the case of reputation of goods/services ... More

Geometry and dimensionality reduction of feature spaces in primary visual cortexSep 14 2015Some geometric properties of the wavelet analysis performed by visual neurons are discussed and compared with experimental data. In particular, several relationships between the cortical morphologies and the parametric dependencies of extracted features ... More

Sufficient and equivalent criteria for the Riemann HypothesisMar 10 2010Aug 30 2011The paper presents several new sufficient conditions, as well as new equivalent criteria for the classical Riemann Hypothesis. Noteworthy are also other statements and remarks about $\zeta$ to be found throughout the paper.

Monte Carlo radiation transfer simulations of photospheric emission in long-duration Gamma-Ray BurstsMay 11 2016Jul 19 2016We present MCRaT, a Monte Carlo Radiation Transfer code for self-consistently computing the light curves and spectra of the photospheric emission from relativistic, unmagnetized jets. We apply MCRaT to a relativistic hydrodynamic simulation of a long ... More

Polarization in the prompt emission of gamma-ray bursts and their afterglowsJul 31 2006Synchrotron is considered the dominant emission mechanism in the production of gamma-ray burst photons in the prompt as well as in the afterglow phase. Polarization is a characteristic feature of synchrotron and its study can reveal a wealth of information ... More

Precursor activity in bright long BATSE gamma-Ray BurstsNov 29 2004Dec 21 2004We study a sample of bright long BATSE GRB light curves in the 200 s before the detection of the GRB prompt emission. We find that in a sizable fraction of cases (20 %) there is evidence of emission above the background coming from the same direction ... More

Recursive Betti numbers for Cohen-Macaulay $d$-partite clutters arising from posetsNov 20 2014Oct 18 2015A natural extension of bipartite graphs are $d$-partite clutters, where $d \geq 2$ is an integer. For a poset $P$, Ene, Herzog and Mohammadi introduced the $d$-partite clutter $\mathcal{C}_{P,d}$ of multichains of length $d$ in $P$, showing that it is ... More

Hidden Virasoro Symmetry of the Sine Gordon TheoryDec 01 2000May 22 2001In the framework of the Sine-Gordon (SG) theory we will present the construction of a dynamical Virasoro symmetry which has nothing to do with the space-time Virasoro symmetry of 2D CFT. Although, it is non-local in the SG field theory, nevertheless it ... More

Fractionally-addressed delay linesMay 17 2000Jun 12 2000While traditional implementations of variable-length digital delay lines are based on a circular buffer accessed by two pointers, we propose an implementation where a single fractional pointer is used both for read and write operations. On modern general-purpose ... More

A MILP model for single machine family scheduling with sequence-dependent batch setup and controllable processing timesJan 29 2015Mar 02 2015A mathematical programming model for a class of single machine family scheduling problem is described in this technical report, with the aim of comparing the performance in solving the scheduling problem by means of mathematical programming with the performance ... More

Target annihilation by diffusing particles in inhomogeneous geometriesSep 03 2009The survival probability of immobile targets, annihilated by a population of random walkers on inhomogeneous discrete structures, such as disordered solids, glasses, fractals, polymer networks and gels, is analytically investigated. It is shown that, ... More

Three dimensional Conformal Field Theories from Sasakian seven-manifoldsFeb 29 2000We present the construction of the candidate conformal field theories dual to $AdS_4$ non-maximally supersymmetric compactifications of 11D supergravity. We compare the spectra of the two theories and discuss the realization of the baryonic symmetries. ... More

Matching Procedure for the Sixth Painlevé Equation (May 2006)Oct 07 2010We present a constructive procedure to obtain the critical behavior of Painleve' VI transcendents and solve the connection problem. This procedure yields two and one parameter families of solutions, including trigonometric and logarithmic behaviors, and ... More

BOAT: a cross-platform software for data analysis and numerical computing with arbitrary-precisionNov 10 2015BOAT is a free cross-platform software for statistical data analysis and numerical computing. Thanks to its multiple-precision floating point engine, it allows arbitrary-precision calculations, whose digits of precision are only limited by the amount ... More

The projected Newton-Kleinman method for the algebraic Riccati equationJan 29 2019The numerical solution of the algebraic Riccati equation is a challenging task especially for very large problem dimensions. In this paper we present a new algorithm that combines the very appealing computational features of projection methods with the ... More

Stochastic order and attractiveness for particle systems with multiple births, deaths and jumpsMar 18 2010Feb 20 2011An approach to analyse the properties of a particle system is to compare it with different processes to understand when one of them is larger than other ones. The main technique for that is coupling, which may not be easy to construct. We give a characterization ... More

Analyticity of non-symmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measureFeb 06 2019In this paper we show that the realization in $L^p(X,\nu_\infty)$ of the nonsymmetric Ornstein-Uhlenbeck operator $L$ is sectorial for any $p\in(1,+\infty)$ and we provide an explicit sector of analyticity. Here $(X,\mu_\infty,H_\infty)$ is an abstract ... More

Local Picard Group of Binoids and Their AlgebrasNov 06 2016Nov 08 2016We begin by introducing schemes of binoids, invertible $\mathcal{O}_M$-sets and cohomology of sheaves of abelian groups defined on schemes of binoids. We define the so-called punctured combinatorial \v{C}ech-Picard complex, whose first cohomology computes ... More

Twisted compactifications of 3d N = 4 theories and conformal blocksNov 04 2016Sep 19 2018Three-dimensional N = 4 supersymmetric quantum field theories admit two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to define a supersymmetric compactification on a Riemann surface and a corre- sponding space ... More

New algorithms for Steiner tree reoptimizationApr 28 2018{\em Reoptimization} is a setting in which we are given an (near) optimal solution of a problem instance and a local modification that slightly changes the instance. The main goal is that of finding an (near) optimal solution of the modified instance. ... More

Atmospheric physics and Atmospheres of Solar-System bodiesApr 23 2018The physical principles governing the planetary atmospheres are briefly introduced in the first part of this chapter, moving from the examples of Solar System bodies. Namely, the concepts of collisional regime, balance equations, hydrostatic equilibrium ... More

Surprises from the spins: astrophysics and relativity with detections of spinning black-hole mergersNov 27 2017Measurements of black-hole spins are of crucial importance to fulfill the promise of gravitational-wave astronomy. On the astrophysics side, spins are perhaps the cleanest indicator of black-hole evolutionary processes, thus providing a preferred way ... More

Information Geometry of Quantum ResourcesSep 16 2017Oct 05 2018I review recent works showing that information geometry is a useful framework to characterize quantum coherence and entanglement. Quantum systems exhibit peculiar properties which cannot be justified by classical physics, e.g. quantum coherence and quantum ... More

On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivativeJul 16 2018We prove two maximal regularity results in spaces of continuous and H\"older continuous functions, for a mixed linear Cauchy-Dirichlet problem with a fractional time derivative $\mathbb{D}_t^\alpha$. This derivative is intended in the sense of Caputo ... More

Exploring New Physics from nu_tau events in OPERAMar 21 2019We analyze in details the impact of the $10$ $\nu_\tau$ events seen in the OPERA experiment in constraining the Non Standard Interaction parameter $\varepsilon_{\mu\tau}$ affecting neutrino propagation in matter and the allowed parameter space of models ... More

Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functionsJul 19 2016We consider the nonautonomous Ornstein-Uhlenbeck operator in some weighted spaces of continuous functions in $\R^N$. We prove sharp uniform estimates for the spatial derivatives of the associated evolution operator $\OU$, which we use to prove optimal ... More

Painleve I, Coverings of the Sphere and Belyi FunctionsJul 18 2012Oct 22 2012The theory of poles of solutions of Painleve-I is equivalent to the Nevanlinna problem of constructing a meromorphic function ramified over five points - counting multiplicities - and without critical points. We construct such meromorphic functions as ... More

Tabulation of PVI Transcendents and Parametrization Formulas (August 17, 2011)Aug 17 2011Oct 01 2012The critical and asymptotic behaviors of solutions of the sixth Painlev\'e equation PVI, obtained in the framework of the monodromy preserving deformation method, and their explicit parametrization in terms of monodromy data, are tabulated.

On the Critical Behavior, the Connection problem and the Elliptic representation of a Painleve VI equation (Spring 2001)Oct 07 2010We find a class of solutions of the sixth Painleve' equation appearing in the theory of WDVV equations. This class covers almost all the monodromy data associated to the equation, except one point in the space of the data. We find the critical behavior ... More

Mixing for suspension flows over skew-translations and time-changes of quasi-abelian filiform nilflowsJun 28 2017Feb 12 2018We consider suspension flows over uniquely ergodic skew-translations on a $d$-dimensional torus $\mathbb{T}^d$, for $d \geq 2$. We prove that there exists a set $\mathscr{R}$ of smooth functions, which is dense in the space $\mathscr{C}(\mathbb{T}^d)$ ... More

On the uniform Rasmussen-Tamagawa conjecture in the CM caseNov 29 2015We prove a uniform version of a finiteness conjecture due to Rasmussen and Tamagawa in the case of CM abelian varieties. This extends recent results concerning CM elliptic curves to CM abelian varieties of arbitrary dimension.

The projected Newton-Kleinman method for the algebraic Riccati equationJan 29 2019Jun 18 2019The numerical solution of the algebraic Riccati equation is a challenging task especially for very large problem dimensions. In this paper we present a new algorithm that combines the very appealing computational features of projection methods with the ... More

Mathematical vs Empirical MeasurementJun 03 2010Oct 25 2012This paper has been withdrawn by the author. In this short paper I will put in evidence a problem nested in Ozawa's effort to block von Neumann's chains and in his attributing the wave-collapse to a interaction between systems. This suggests distinguishing ... More

A geometric approach to quantum control in projective Hilbert spacesAug 28 2015May 03 2016A quantum theory in a finite-dimensional Hilbert space can be geometrically formulated as a proper Hamiltonian theory as explained in [2, 3, 7, 8]. From this point of view a quantum system can be described in a classical-like framework where quantum dynamics ... More

A geometric Hamiltonian description of composite quantum systems and quantum entanglementAug 08 2014Finite-dimensional Quantum Mechanics can be geometrically formulated as a proper classical-like Hamiltonian theory in a projective Hilbert space. The description of composite quantum systems within the geometric Hamiltonian framework is discussed in this ... More

Large theta_13 from a model with broken L_e-L_mu-L_tau symmetryOct 24 2011Mar 06 2012Recent data in the neutrino sector point towards a relatively large value of the reactor angle, incompatible with a vanishing theta_ 13 at about 3 sigma. In order to explain such a result, we propose a SUSY model based on the broken L_e-L_mu-L_tau symmetry, ... More

Non-LTE dust nucleation in sub-saturated vaporsOct 15 2007Nov 09 2007We use the kinetic theory of nucleation to explore the properties of dust nucleation in sub-saturated vapors. Due to radiation losses, the sub-critical clusters have a smaller temperature compared to their vapor. This alters the dynamical balance between ... More

Trap effects and continuum limit of the Hubbard model in the presence of an harmonic potentialNov 02 2016We investigate the ground-state (GS) density properties of a system of spin-$1/2$ particles described by the $d$-dimensional Hubbard model in the presence of an harmonic trap. In particular we consider this system at zero temperature in the so called ... More

Interpreting Quantum Discord in Quantum MetrologyFeb 16 2015Nov 03 2015Multipartite quantum systems show properties which do not admit a classical explanation. In particular, even nonentangled states can enjoy a kind of quantum correlations called quantum discord. I discuss some recent results on the role of quantum discord ... More

Cosmological limits on axions and axion-like particlesOct 11 2012The axion is a pseudo-Nambu-Goldstone boson. It appears after the spontaneous breaking of the Peccei-Quinn symmetry, which was proposed to solve the strong-CP problem. Other pseudo-Nambu-Goldstone bosons, postulated in some extensions of the standard ... More

On the systematic uncertainties in DUNE and their role in New Physics studiesMay 04 2018Aug 17 2018In the recent years experiments have established the existence of neutrino oscillations and most of the oscillation parameters have been measured with a good accuracy. The search for New Physics in neutrino oscillation will be an experimental concrete ... More

GUT and flavor models for neutrino masses and mixingSep 08 2017Oct 05 2017In the recent years neutrino experiments have studied in detail the phenomenon of neutrino oscillations and most of the oscillation parameters have been measured with a good accuracy. However, in spite of many interesting ideas, the problem of flavor ... More

Top-quark pair production at NNLO QCD and NLO EW accuracyAug 31 2017We present phenomenological predictions at NNLO QCD and NLO EW accuracy for $t \bar t$ distributions at the LHC (8 and 13 TeV). We discuss the impact of the electroweak corrections and quantify the theory errors from scale and PDF uncertainties. Moreover, ... More

A quantum key distribution scheme based on tripartite entanglement and violation of CHSH inequalityJul 20 2017Entanglement is a well-known resource in quantum information, in particular it can be exploited for quantum key distribution (QKD). In this paper we define a two-way QKD scheme employing GHZ-type states of three qubits obtaining an extension of the standard ... More

Almost optimal algorithms for diameter-optimally augmenting treesSep 24 2018Oct 02 2018We consider the problem of augmenting an $n$-vertex tree with one shortcut in order to minimize the diameter of the resulting graph. The tree is embedded in an unknown space and we have access to an oracle that, when queried on a pair of vertices $u$ ... More

Convergence rates in the central limit theorem for weighted sums of Bernoulli random fieldsMar 21 2017Oct 30 2018We prove moment inequalities for a class of functionals of i.i.d. random fields. We then derive rates in the central limit theorem for weighted sums of such randoms fields via an approximation by $m$-dependent random fields.

Guided Upsampling Network for Real-Time Semantic SegmentationJul 19 2018Semantic segmentation architectures are mainly built upon an encoder-decoder structure. These models perform subsequent downsampling operations in the encoder. Since operations on high-resolution activation maps are computationally expensive, usually ... More

S-duality of boundary conditions and the Geometric Langlands programSep 28 2016Nov 08 2016Maximally supersymmetric gauge theory in four dimensions admits local boundary conditions which preserve half of the bulk supersymmetries. The S-duality of the bulk gauge theory can be extended in a natural fashion to act on such half-BPS boundary conditions. ... More

On the Tree-Like Structure of Rings in Dense SolutionsSep 24 2016Oct 22 2016One of the most challenging problems in polymer physics is providing a theoretical description for the behaviour of rings in dense solutions and melts. Although it is nowadays well established that the overall size of a ring in these conditions scales ... More

The CUORE experiment at LNGSDec 21 2017The Cryogenic Underground Observatory for Rare Events (CUORE) is the first bolometric experiment searching for neutrinoless double beta decay that has been able to reach the 1-ton scale. The detector consists of an array of 988 TeO2 crystals arranged ... More

How difficult is it to prepare a quantum state?Aug 05 2018Jan 11 2019Consider a quantum system prepared in an input state. One wants to drive it into a target state. Assuming classical states and operations as free resources, I identify a geometric cost function which quantifies the difficulty of the protocol in terms ... More

Hodge completed derived de Rham algebra of a perfect ringJan 08 2019Jun 19 2019Derived de Rham cohomology has been recently used in several contexts, as in works of Beilinson and Bhatt on p-adic periods morphisms and Morin on numerical invariants for special values of zeta functions. Inspired by some results of Morin, we aimed to ... More

Hyperbolic HHS II: Graphs of hierarchically hyperbolic groupsJan 05 2018In this paper we consider a large family of graphs of hierarchically hyperbolic groups (HHG) and show that their fundamental groups admit HHG structures. To do that, we will investigate the notion of hierarchical quasi convexity and show that for a hyperbolic ... More

The Direct Monodromy Problem of Painleve-IJul 09 2010Oct 08 2010The Painleve first equation can be represented as the equation of isomonodromic deformation of a Schrodinger equation with a cubic potential. We introduce a new algorithm for computing the direct monodromy problem for this Schrodinger equation. The algorithm ... More

A dispersive estimate for the linear wave equation with an electromagnetic potentialJan 02 2006We consider radial solutions to the Cauchy problem for the linear wave equation with a small short-range electromagnetic potential (the "square version" of the massless Dirac equation with a potential) and zero initial data. We prove two a priori estimates ... More

VIMOS IFU as a tool to observe the cores of high z clustersSep 28 2001Research on the core of medium and high z clusters of galaxies can derive great benefits from integral field spectroscopy, and a key role in this respect will be played by the Integral Field Unit (IFU) being developed by the VIRMOS Consortium as part ... More

On the analytic bijections of the rationals in $[0,1]$Jun 22 2016We carry out an arithmetical study of analytic functions $f: [0,1] \to [0,1]$ that by restriction induce a bijection $\mathbb{Q} \cap [0,1] \to \mathbb{Q} \cap [0,1]$. The existence of such functions shows that, unless $f(x)$ has some additional property ... More

Holderian weak invariance principle for stationary mixing sequencesSep 29 2014Aug 08 2015We provide some sufficient mixing conditions on a strictly stationary sequence in order to guarantee the weak invariance principle in H\"older spaces. Strong mixing and $\rho$-mixing conditions are investigated as well as $\tau$-dependent sequences. The ... More

On the $L$-polynomials of curves over finite fieldsJul 19 2018Fix a finite field $\mathbb{F}_q$ of odd characteristic and an integer $g \geq 1$. We prove that the $\mathbb{Q}$-vector space spanned by the $L$-polynomials of curves of genus $g$ over $\mathbb{F}_q$ has dimension $g+1$.

A Semi-Linear Backward Parabolic cauchy Problem with Unbounded Coefficients of Hamilton-Jacobi-Bellman Type and Applications to optimal controlFeb 03 2014We obtain weighted uniform estimates for the gradient of the solutions to a class of linear parabolic Cauchy problems with unbounded coefficients. Such estimates are then used to prove existence and uniqueness of the mild solution to a semi-linear backward ... More

Parabolic perturbations of unipotent flows on compact quotients of $\text{SL}(3,\mathbb{R})$Nov 13 2017Dec 02 2018We consider a family of smooth perturbations of unipotent flows on compact quotients of $\text{SL}(3,\mathbb{R})$ which are not time-changes. More precisely, given a unipotent vector field, we perturb it by adding a non-constant component in a commuting ... More

Some remarks on a new exotic spacetime for time travel by free fallDec 21 2018This work is essentially a review of a new spacetime model with closed causal curves, recently presented in another paper (Class. Quantum Grav. \textbf{35}(16) (2018), 165003). The spacetime at issue is topologically trivial, free of curvature singularities, ... More

Pink-type results for general subgroup of $\operatorname{SL}_2(\mathbb{Z}_\ell)^n$Jan 16 2015Aug 09 2015We study open subgroups $G$ of $\operatorname{SL}_2(\mathbb{Z}_\ell)^n$ in terms of some associated Lie algebras without assuming that $G$ is a pro-$\ell$ group, thereby extending a theorem of Pink. The result has applications to the study of families ... More

Trace heat kernel asymptotics in 3D contact sub-Riemannian geometryMay 06 2011Nov 04 2011In this paper we study the small time asymptotics for the heat kernel on a sub-Riemannian manifold, using a perturbative approach. We then explicitly compute, in the case of a 3D contact structure, the first two coefficients of the small time asymptotics ... More

S-duality of boundary conditions and the Geometric Langlands programSep 28 2016Maximally supersymmetric gauge theory in four dimensions admits local boundary conditions which preserve half of the bulk supersymmetries. The S-duality of the bulk gauge theory can be extended in a natural fashion to act on such half-BPS boundary conditions. ... More

Between Being and Becoming: a meta-theoretical approach to irreversibilitySep 05 2013The relationship between reversible-dynamical and irreversible-thermodynamic descriptions is analyzed from a meta-theoretical point of view. A network of inter-theoretical relations is drawn by means of asymptotic relations and complementarity. It is ... More

Generalized Riemann hypotheses: sufficient and equivalent criteriaMay 10 2010Oct 22 2010This paper presents new sufficient and equivalent conditions for the generalized version of the Riemann Hypothesis. The paper derives also statements and remarks concerning zero-free regions, modified Hadamard-product formulas and the behaviour of $|\frac{L(\bar{\chi},s)}{L(\chi,1-s)}|$. ... More

X-ray Polarization of Gamma-Ray BurstsJun 23 2009The degree and the temporal evolution of linear polarization in the prompt and afterglow emission of gamma-ray bursts is a very robust diagnostic of some key features of gamma-ray bursts jets and their micro and macro physics. In this contribution, I ... More

Bimaximal mixing and large theta13 in a SUSY SU(5) model based on S4Jul 01 2011Oct 05 2011The recent analyses of the world neutrino data, including the T2K and MINOS results, point toward a statistically significant deviation of theta13 from zero. In this paper we present a SUSY SU(5) model based on the discrete S4 group which predicts a large ... More

Recent developments in Neutrino PhysicsJan 26 2016We discuss the recent progress in neutrino physics in the following fields: (i) interpretation of the short and long neutrino oscillation data in terms of neutrino flavor transitions; (ii) models for neutrino masses and mixings.

Betti splitting via componentwise linear idealsOct 23 2014Jun 27 2015A monomial ideal $I$ admits a Betti splitting $I=J+K$ if the Betti numbers of $I$ can be determined in terms of the Betti numbers of the ideals $J,K$ and $J \cap K$. Given a monomial ideal $I$, we prove that $I=J+K$ is a Betti splitting of $I$, provided ... More

Twisted compactifications of 3d N = 4 theories and conformal blocksNov 04 2016Three-dimensional N = 4 supersymmetric quantum field theories admit two topological twists, the Rozansky-Witten twist and its mirror. Either twist can be used to define a supersymmetric compactification on a Riemann surface and a corre- sponding space ... More

Fundamental lemmas for the determination of optimal control strategies for a class of single machine family scheduling problemsFeb 02 2015Four lemmas, which constitute the theoretical foundation necessary to determine optimal control strategies for a class of single machine family scheduling problems, are presented in this technical report. The scheduling problem is characterized by the ... More

Schröder e la Teoria dei GruppiMay 21 2013This short paper focuses on Schr\"oder's contribute towards a structural view of group theory.

Some Notes on the Difference between Interaction and MeasurementJun 06 2010Oct 25 2012This paper has been withdrawn by the author. In this paper I present some reasons to adopt an holistic point of wiev, eliminating a boundary subject/object in the measurement. I review shortly Everett's and Cramer's positions, casting light on their flaws, ... More

Review of Wüst's 'Mathematik für Physiker und Mathematiker'Jun 26 2010Oct 25 2012This paper has been withdrawn by the author. In this article I review W\"ust's recent handbook on mathematical physics from a philosophical standpoint. It emerges a structural approach to mathematics which evidences the utility of logic in the expression ... More

Generating new $N = 2$ small black holesApr 11 2019We use the exact symmetries of the $N = 2$ STU model of Sen and Vafa to classify BPS orbits in this theory. Subsequently, we construct examples of small BPS black holes in this model by solving the associated attractor equations, and use duality symmetries ... More

Sensitivity Analysis of Chaotic Systems using Unstable Periodic OrbitsAug 14 2017Mar 08 2018A well-behaved adjoint sensitivity technique for chaotic dynamical systems is presented. The method arises from the specialisation of established variational techniques to the unstable periodic orbits of the system. On such trajectories, the adjoint problem ... More

Fractional derivative in spaces of continuous functionsJul 07 2017This is a first version of a paper concerning abstract evolution equation with fractional time derivatives. Maximal regularity results in spaces of continuous and Hoelder continuous functions are described.

Geometric proofs and algebraic setsDec 28 2016This article shows a new method to prove theorems inspired and based on some algebraic geometry results like the Nullstellensatz. This method allows to assert the validity of a geometry theorem by proving it only in some particular cases.

Heavy quark mass effects in associated productionAug 14 2018Processes involving heavy quarks in associated production, are usually described in two factorisation schemes: one in which the heavy quark is treated as an infinitely massive object, decoupled from QCD evolution, and one in which it is treated on the ... More

Hidden Tree Markov Networks: Deep and Wide Learning for Structured DataNov 21 2017The paper introduces the Hidden Tree Markov Network (HTN), a neuro-probabilistic hybrid fusing the representation power of generative models for trees with the incremental and discriminative learning capabilities of neural networks. We put forward a modular ... More

On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equationMar 16 2018May 23 2018The aims of this paper are two. The first is to give a brief review of the most relevant theoretical results concerning the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan master equation and the criteria which guarantee ... More

Quantitative mixing for locally Hamiltonian flows with saddle loops on compact surfacesOct 27 2016Sep 06 2017Given a compact surface $\mathcal{M}$ with a smooth area form $\omega$, we consider an open and dense subset of the set of smooth closed 1-forms on $\mathcal{M}$ with isolated zeros which admit at least one saddle loop homologous to zero and we prove ... More

Hyperbolic HHS I:Factor Systems and Quasi-convex subgroupsNov 29 2017Dec 12 2018In this paper we provide a procedure to obtain a non-trivial HHS structure on a hyperbolic space. In particular, we prove that given a finite collection $\mathcal{F}$ of quasi-convex subgroups of a hyperbolic group $G$, there is an HHG structure on $G$ ... More

Open heavy-flavour and quarkonium production in Pb-Pb and p-Pb collisions measured by the ALICE detector at the LHCJun 13 2016Open heavy-flavour and quarkonia measurements are important tools to study the hot and dense partonic medium formed in ultra-relativistic heavy-ion collisions. The modification of their production in those collisions, with respect to the pp and p-Pb ones, ... More

Bounds for Serre's open image theorem for elliptic curves over number fieldsMar 15 2014Oct 08 2015For $E/K$ an elliptic curve without complex multiplication we bound the index of the image of $\operatorname{Gal}(\bar{K}/K)$ in $\operatorname{GL}_2(\hat{\mathbb{Z}})$, the representation being given by the action on the Tate modules of $E$ at the various ... More

Global Simulations of Galactic Discs: Violent Feedback from Clustered Supernovae during Bursts of Star FormationJul 24 2019A suite of idealised, global, gravitationally unstable, star-forming galactic disc simulations with 2 pc spatial resolution, performed with the adaptive mesh refinement code RAMSES is used in this paper to predict the emergent effects of supernova feedback. ... More