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Contraction analysis of switched systems: the case of Caratheodory Systems and NetworksOct 04 2011In this paper we extend to a generic class of piecewise smooth dynamical systems a fundamental tool for the analysis of convergence of smooth dynamical systems: contraction theory. We focus on switched systems satisfying Caratheodory conditions for the ... More

Convergence and synchronization in heterogeneous networks of smooth and piecewise smooth systemsApr 07 2014This paper presents a framework for the study of convergence when the nodes' dynamics may be both piecewise smooth and/or nonidentical across the network. Specifically, we derive sufficient conditions for global convergence of all node trajectories towards ... More

Using learning to control artificial avatars in human motor coordination tasksOct 09 2018Designing artificial cyber-agents able to interact with human safely, smartly and in a natural way is a current open problem in control. Solving such an issue will allow the design of cyber-agents capable of co-operatively interacting with people in order ... More

Deep learning control of artificial avatars in group coordination tasksJun 11 2019In many joint-action scenarios, humans and robots have to coordinate their movements to accomplish a given shared task. Lifting an object together, sawing a wood log, transferring objects from a point to another are all examples where motor coordination ... More

$PI^hD^{n-1}$ synchronization of higher-order nonlinear systems with a recursive Lyapunov approachApr 04 2017This paper investigates the problem of synchronization for nonlinear systems. Following a Lyapunov approach, we firstly study global synchronization of nonlinear systems in canonical control form with both distributed proportional-derivative and proportional-integral-derivative ... More

On the role of Allee effect and mass migration in survival and extinction of a speciesMar 20 2010May 14 2012We use interacting particle systems to investigate survival and extinction of a species with colonies located on each site of $\mathbb {Z}^d$. In each of the four models studied, an individual in a local population can reproduce, die or migrate to neighboring ... More

The Problem of the Observer in PhysicsJun 01 2010Oct 25 2012This paper has been withdrawn by the author. In this short paper I present a new approach to the problem of measurement, based on the difference between language (reality) and meta-language (meta-reality). This way, it will be shown as the measurement ... More

COSMIC-LAB: Terzan 5 as a fossil remnant of the Galactic bulge formation epochDec 18 2014The formation and evolution of galaxy bulges is one of the most debated topics in the modern astrophysics. One approach to address this issue is to look at the Galactic bulge since it is the closest. According to some theoretical models, our bulge may ... More

Open-loop quantum control as a resource for secure communicationsDec 17 2015Feb 01 2016Properties of unitary time evolution of quantum systems can be applied to define quantum cryptographic protocols. Dynamics of a qubit can be exploited as a data encryption/decryption procedure by means of timed measurements, implementation of an open-loop ... More

New methods for the computation of the linear response within the density functional theory in spin polarized system (Metodi innovativi per il calcolo della risposta lineare in density functional theory per sistemi spin polarizzati)Aug 15 2012In the present thesis we study absorption spectra of spin polarized isolated systems. Thus we introduce the density functional theory (DFT) formalism and its time dependent extension (TDDFT) together with the approximation used. In particula the Casida ... More

On the Tree-Like Structure of Rings in Dense SolutionsSep 24 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

HyLTL: a temporal logic for model checking hybrid systemsAug 24 2013The model-checking problem for hybrid systems is a well known challenge in the scientific community. Most of the existing approaches and tools are limited to safety properties only, or operates by transforming the hybrid system to be verified into a discrete ... More

Operators and vacua of N=1 field theoriesDec 17 2009We review the idea of Hilbert Series as a tool to study the moduli space and the BPS operators of four dimensional N=1 supersymmetric field theories. We concentrate on the particular case of N=1 superconformal field theories living on N D3 branes at toric ... More

Master Space and Hilbert Series for N=1 Field TheoriesFeb 12 2009Master Space and Hilbert Series are general tools to study any N=1 supersymmetric field theory. We concentrate on the particular case of N=1 super conformal field theories living on D3 branes at toric Calabi Yau singularities. We start reviewing the topic ... More

Checking Flavour Models at Neutrino FacilitiesAug 21 2013Nov 29 2013In the recent years, the industry of model building has been the subject of the intense activity, especially after the measurement of a relatively large values of the reactor angle. Special attention has been devoted to the use of non-abelian discrete ... More

Sterile neutrinos at future long baseline experimentsDec 18 2008In this talk we review the current status of sterile neutrino searches and discuss the potential of future long baseline experiments to study their properties.

GRB progenitors and their environmentsNov 07 2006The detection of supernova features in the late spectra of several gamma-ray burst afterglows has shown that at least a fraction of long-duration gamma-ray bursts are associated to the final evolutionary stages of massive stars. Such direct observations ... More

Gamma-Ray Burst Progenitors Confront ObservationsFeb 02 2004The discovery of a supernova emerging at late times in the afterglow of GRB 030329 has apparently settled the issue on the nature of the progenitor of gamma-ray bursts. We now know that at least a fraction of cosmological GRBs are associated with the ... More

Thermal components in the early X-ray afterglow of GRBsOct 14 2002Dec 12 2002The possible presence of thermal components in the early X-ray afterglows of gamma-ray bursts is investigated. We discuss both the presence of a thermal continuum and, in particular, of collisional X-ray emission lines. We compute the predicted luminosity ... More

The role of photon scattering in shaping the lightcurves and spectra of gamma-ray burstsJun 18 2002Sep 01 2002We analyze the power spectra of the lightcurves of long gamma-ray bursts, dividing the sample in bins of luminosity, using the recently discovered variability-luminosity correlation. We find that the value of the variability parameter strongly correlates ... More

Classical solutions to quasilinear parabolic problems with dynamic boundary conditionsApr 23 2015We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical solution to a second order quasilinear system with nonlinear dynamic boundary ... More

Parabolic problems with general Wentzell boundary conditions and diffusion on the boundaryApr 21 2015We show a result of maximal regularity in spaces of H\"older continuous function, concerning linear parabolic systems, with dynamic or Wentzell boundary conditions, with an elliptic diffusion term on the boundary.

Bohmian Classical Limit in Bounded RegionsMar 09 2016Bohmian mechanics is a realistic interpretation of quantum theory. It shares the same ontology of classical mechanics: particles following continuous trajectories in space through time. For this ontological continuity, it seems to be a good candidate ... More

A Review on The Sixth Painleve' EquationOct 01 2012Dec 05 2015For the Painlev\'e 6 transcendents, we provide a unitary description of the critical behaviours, the connection formulae, their complete tabulation, and the asymptotic distribution of the poles close to a critical point.

Poles Distribution of PVI Transcendents close to a Critical Point (summer 2011)Apr 27 2011Apr 14 2012The distribution of the poles of branches of the Painleve' VI transcendents associated to semi-simple Frobenius manifolds is determined close to a critical point. It is shown that the poles accumulate at the critical point, asymptotically along two rays. ... More

An Asymptotic Reduction of a Painleve' VI equation to a Painleve' III (January 2011)Jan 25 2011When the independent variable is close to a critical point, it is shown that PVI can be asymptotically reduced to PIII. In this way, it is possible to compute the leading term of the critical behaviors of PVI transcendents starting from the behaviors ... More

Approximations of Sobolev norms in Carnot groupsJun 29 2010This paper deals with a notion of Sobolev space $W^{1,p}$ introduced by J.Bourgain, H.Brezis and P.Mironescu by means of a seminorm involving local averages of finite differences. This seminorm was subsequently used by A.Ponce to obtain a Poincar\'e-type ... More

Analyticity and criticality results for the eigenvalues of the biharmonic operatorMar 09 2016We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary conditions (Dirichlet, Neumann, Navier, Steklov). We show that simple eigenvalues and elementary symmetric functions of multiple eigenvalues are real analytic, ... More

Explicit open image theorems for abelian varieties with trivial endomorphism ringAug 06 2015Jan 04 2016Let $K$ be a number field and $A/K$ be an abelian variety of dimension $g$ with $\operatorname{End}_{\overline{K}}(A)=\mathbb{Z}$. We provide a semi-effective bound $\ell_0(A/K)$ such that the natural Galois representation attached to $T_\ell A$ is onto ... More

Roots of unity and torsion points of abelian varietiesJul 03 2015Dec 31 2015We answer a question raised by Hindry and Ratazzi concerning the intersection between cyclotomic extensions of a number field $K$ and extensions of $K$ generated by torsion points of an abelian variety over $K$. We prove that a weak version of the property ... More

An explicit open image theorem for products of elliptic curvesJan 19 2015Nov 29 2015Let $K$ be a number field and $E_1, \ldots, E_n$ be elliptic curves over $K$, pairwise non-isogenous over $\overline{K}$ and without complex multiplication over $\overline{K}$. We study the image of the adelic representation of the absolute Galois group ... More

Zeros of the Hurwitz zeta function in the interval (0,1)Mar 10 2010Feb 03 2011We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\geq 1$ and $s\in(0,1)$ and, as a particular instance, the known ... More

Reducing democratic type II supergravity on SU(3) x SU(3) structuresApr 03 2008Jun 10 2008Type II supergravity on backgrounds admitting SU(3) x SU(3) structure and general fluxes is considered. Using the generalized geometry formalism, we study dimensional reductions leading to N=2 gauged supergravity in four dimensions, possibly with tensor ... More

Higgs Physics at the Large Hadron ColliderMay 15 2001May 16 2001A major goal of the future Large Hadron Collider will be the Higgs boson search. In this paper the discovery In this paper the discovery potential is described as a function of the Higgs mass showing that a Standard Model Higgs boson can be discovered ... More

GRB Progenitors and EnvironmentMay 03 2005The study and knowledge of the environment of Gamma-Ray Bursts is of great interest from many points of view. For high redshift (z>0.5) events, the structure of the ambient medium is one of the best indicators of the nature and properties of the progenitor. ... More

Linear polarization on Gamma-Ray Bursts: from the prompt to the late afterglowDec 12 2003The past year has witnessed a large increase in our knowledge of the polarization properties of Gamma-Ray Burst (GRB) radiation. In the prompt phase, the measurement (albeit highly debated) of a large degree of linear polarization in GRB 021206 has stimulated ... More

X-ray lines, progenitor and beaming of Gamma-Ray BurstsNov 08 2002X-ray emission features have been detected in at least five GRB afterglows. Their detection and properties are of great importance in our understanding of the nature of the GRB progenitor. Moreover, they provide us with an un-collimated source of photons, ... More

Gamma-Ray Bursts environment and progenitorsJan 16 2003The properties of the ambient medium in which GRBs go off are an important piece of the puzzle, not only as an issue in itself, but because of their link with the nature of the progenitor. In this review, I describe and critically comment the various ... More

S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on θ13Mar 14 2012We present a model based on the flavour group S3 X Z3 X Z6 to explain the main features of fermion masses and mixing. In particular, in the neutrino sector the breaking of the S3 symmetry is responsible for a naturally small r=\Delta m^2_sol/\Delta m^2_atm ... More

Impact of nuclear effects in the measurement of neutrino oscillation parametersOct 05 2011In recent years the experimental study of neutrino oscillations has much contributed to our knowledge of particle physics by establishing non vanishing neutrino masses and by measuring or constraining the corresponding mixing angles. Within the domain ... More

A See-Saw $S_4$ model for fermion masses and mixingsNov 18 2009Apr 13 2010We present a supersymmetric see-saw $S_4$ model giving rise to the most general neutrino mass matrix compatible with Tri-Bimaximal mixing. We adopt the $S_4\times Z_5$ flavour symmetry, broken by suitable vacuum expectation values of a small number of ... More

Aspects of Symmetry in Sine-Gordon TheoryNov 30 2001As a prototype of powerful non-abelian symmetry in an Integrable System, I will show the appearance of a Witt algebra of vector fields in the SG theory. This symmetry does not share anything with the well-known Virasoro algebra of the conformal $c=1$ ... More

Geometrical Loci and CFTs via the Virasoro Symmetry of the mKdV-SG hierarchy: an excursusAug 10 2004We will describe the appearance of specific algebraic KdV potentials as a consequence of a requirement on a integro-differential expression. This expression belongs to a class generated by means of Virasoro vector fields acting on the KdV field. The ``almost'' ... More

On the Concept of Possibility in Quantum MechanicsJun 06 2010Oct 25 2012This paper has been withdrawn by the author. In this short paper I introduce a concept of possibility in order to vindicate Everett's Theory of many worlds. The main idea is that there is only one world: the real. After the wave-collapse, we have again ... More

Observable measure of quantum coherence in finite dimensional systemsMar 11 2014Oct 22 2014Quantum coherence is the key resource for quantum technology, with applications in quantum optics, information processing, metrology and cryptography. Yet, there is no universally efficient method for quantifying coherence either in theoretical or in ... More

Quantitative mixing for locally Hamiltonian flows with saddle loops on compact surfacesOct 27 2016Given 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

Simulation of dimensionality effects in thermal transportDec 22 2015The discovery of nanostructures and the development of growth and fabrication techniques of one- and two-dimensional materials provide the possibility to probe experimentally heat transport in low-dimensional systems. Nevertheless measuring the thermal ... More

Boundary F-maximizationMar 31 2014We discuss a variant of the F-theorem and F-maximization principles which applies to (super)conformal boundary conditions of 4d (S)CFTs.

To found or not to found: that is the questionSep 02 2014Sep 10 2014Aim of this paper is to confute two views, the first about Schr\"oder's presumptive foundationalism, according to he founded mathematics on the calculus of relatives; the second one mantaining that Schr\"oder only in his last years (from 1890 onwards) ... More

Policy Targeting under Network InterferenceJun 24 2019The empirical analysis of experiments and quasi-experiments often seeks to determine the optimal allocation of treatments that maximizes social welfare. In the presence of interference, spillover effects lead to a new formulation of the statistical treatment ... More

Solving PVI by Isomonodromy DeformationsJun 14 2011Jul 27 2011The critical and asymptotic behaviors of solutions of the sixth Painlev\'e equation, an their parametrization in terms of monodromy data, are synthetically reviewed. The explicit formulas are given. This paper has been withdrawn by the author himself, ... More

Reduction of Integral Field Spectroscopic Data from the Gemini Multi-Object Spectrograph (a commented example)Sep 29 2014The use of integral field spectroscopy is becoming increasingly popular, hovewer data reduction is still a difficult process. Here I present a step-by-step guide to the reduction of integral field data acquired with the Gemini Multi-Object Spectrograph ... More

Galois representations attached to abelian varieties of CM typeJun 15 2015Aug 12 2015Let $K$ be a number field, $A/K$ be an absolutely simple abelian variety of CM type, and $\ell$ be a prime number. We give explicit bounds on the degree over $K$ of the division fields $K(A[\ell^n])$, and when $A$ is an elliptic curve we also describe ... More

Explicit surjectivity of Galois representations attached to abelian surfaces and $\operatorname{GL}_2$-varietiesNov 06 2014Dec 31 2015Let $A$ be an absolutely simple abelian variety without (potential) complex multiplication, defined over the number field $K$. Suppose that either $\dim A=2$ or $A$ is of $\operatorname{GL}_2$-type: we give an explicit bound $\ell_0(A,K)$ such that, for ... More

V and heavy flavour production: status and recent theoretical developmentsAug 31 2019In this talk, we review the status of the associated production of a vector boson and heavy flavour quarks, and some recent theoretical developments. While some aspects of these multiscale processes are not yet completely under control, a general understanding ... More

Invariance principle via orthomartingale approximationFeb 27 2017Nov 06 2018We obtain a necessary and sufficient condition for the orthomartingale-coboundary decomposition. We establish a sufficient condition for the approximation of the partial sums of a strictly stationary random fields by those of stationary orthomartingale ... More

Generating new $N = 2$ small black holesApr 11 2019Apr 23 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

Notes on Non-Generic Isomonodromy DeformationsApr 16 2018Aug 26 2018Some of the main results of [Cotti G., Dubrovin B., Guzzetti D., Duke Math. J., to appear, arXiv:1706.04808], concerning non-generic isomonodromy deformations of a certain linear differential system with irregular singularity and coalescing eigenvalues, ... 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

Automatically Creating Bilingual Lexicons for Machine Translation from Bilingual TextJul 20 1998A method is presented for automatically augmenting the bilingual lexicon of an existing Machine Translation system, by extracting bilingual entries from aligned bilingual text. The proposed method only relies on the resources already available in the ... 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

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

Policy Targeting under Network InterferenceJun 24 2019Aug 27 2019This paper discusses the problem of estimating individualized treatment allocation rules under network interference. We propose a method with several appealing features for applications: we let treatment and spillover effects be heterogeneous in the population, ... 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

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

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

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

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

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

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

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

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.

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

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

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

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

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

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 $g+1$.

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

Matrix equation techniques for certain evolutionary partial differential equationsAug 30 2019We show that the discrete operator stemming from the time and space discretization of evolutionary partial differential equations can be represented in terms of a single Sylvester matrix equation. A novel solution strategy that combines projection techniques ... 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