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Ohmic contact engineering in few-layer black Phosphorus field effect transistorsMay 14 2019Achieving good quality Ohmic contacts to van der Waals materials is a challenge, since at the interface between metal and van der Waals material, different conditions can occur, ranging from the presence of a large energy barrier between the two materials ... More

Learning, Realizability and Games in Classical ArithmeticDec 22 2010Jun 02 2011In this dissertation we provide mathematical evidence that the concept of learning can be used to give a new and intuitive computational semantics of classical proofs in various fragments of Predicative Arithmetic. First, we extend Kreisel modified realizability ... More

Non-Locality and Theories of CausationNov 05 2001The aim of the paper is to investigate the characterization of an unambiguous notion of causation linking single space-llike separated events in EPR-Bell frameworks. This issue is investigated in ordinary quantum mechanics, with some hints to no collapse ... More

Interactive Learning Based Realizability and 1-Backtracking GamesJan 28 2011We prove that interactive learning based classical realizability (introduced by Aschieri and Berardi for first order arithmetic) is sound with respect to Coquand game semantics. In particular, any realizer of an implication-and-negation-free arithmetical ... More

Gauss-Codazzi thermodynamics on the timelike screenMay 27 2010Oct 25 2010It is a known result by Jacobson that the flux of energy-matter through a local Rindler horizon is related with the expansion of the null generators in a way that mirrors the first law of thermodynamics. We extend such a result to a timelike screen of ... More

The Role of Incentives for Opening Monopoly Markets: Comparing GTE and BOC Cooperation with Local EntrantsSep 06 2001While the 1996 Telecommunications Act requires all incumbent local telephone companies to cooperate with local entrants, section 271 of the Act provides the Bell companies (but not GTE) additional incentives to cooperate. Using an original data set, I ... More

A note on certain representations in characteristic p and associated functionsMar 25 2016May 26 2016We discuss certain representations of GL 2 Fq[T] in equal characteristic and associated vectorial modular forms

Large deviations, condensation, and giant response in a statistical systemMay 05 2015Sep 25 2015We study the probability distribution $P$ of the sum of a large number of non-identically distributed random variables $n_m$. Condensation of fluctuations, the phenomenon whereby one of such variables provides a macroscopic contribution to the global ... More

Prehomogeneous tensor spacesJun 23 2016Jun 27 2016We refine the classification of prehomogeneous vector spaces, provided by Sato-Kimura, in the case of tensor spaces, presenting a quick way to check whether a given tensor space is prehomogeneous or not.

The inner regions of disk galaxies: a constant baryonic fraction?Jun 19 2014For disk galaxies (spirals and irregulars), the inner circular-velocity gradient (inner steepness of the rotation curve) correlates with the central surface brightness with a slope of ~0.5. This implies that the central dynamical mass density scales almost ... More

Frequency Transient of Three-Dimensional Perturbations in Shear Flows. Similarity Properties and Wave Packets Linear FormationApr 12 2013Jun 27 2013The present thesis deals with the non-modal linear analysis of 3D perturbations in wall flows. In the first part,a solution to the Orr-Sommerfeld and Squire IVP, in the form of orthogonal functions expansion, is researched. The Galerkin method is successfully ... More

A sampling algorithm to estimate the effect of fluctuations in particle physics dataMay 26 2012Dec 19 2014Background properties in experimental particle physics are typically estimated using large data sets. However, different events can exhibit different features because of the quantum mechanical nature of the underlying physics processes. While signal and ... More

Constructions of General Covering DesignsMay 22 2012Dec 20 2012Given five positive integers $v, m,k,\lambda$ and $t$ where $v \geq k \geq t$ and $v \geq m \geq t,$ a $t$-$(v,k,m,\lambda)$ general covering design is a pair $(X,\mathcal{B})$ where $X$ is a set of $v$ elements (called points) and $\mathcal{B}$ a multiset ... More

tau-recurrent sequences and modular formsMay 29 2011Jun 24 2011In this paper we deal with Drinfeld modular forms, defined and taking values in complete fields of positive characteristic. Our aim is to study a sequence of families of Drinfeld modular forms depending on a parameter t that produces, for certain values ... More

On the Robustness of NK-Kauffman Networks Against Changes in their Connections and Boolean FunctionsMar 24 2009NK-Kauffman networks {\cal L}^N_K are a subset of the Boolean functions on N Boolean variables to themselves, \Lambda_N = {\xi: \IZ_2^N \to \IZ_2^N}. To each NK-Kauffman network it is possible to assign a unique Boolean function on N variables through ... More

CP Violation and K0 decays revelation: study and simulation of neutral Trigger in NA48 experiment -- Violazione di CP e rivelazione dei decadimenti del K0: studio e simulazione del Trigger neutro nell'esperimento NA48Jan 15 2007At the INFN laboratory in Pisa I have prepared my dissertation, which essentially concerned Montecarlo simulation of subnuclear particles decays and investigation of low-noise electronic devices for analyzing high-frequency signals. The team-work was ... More

Breeding electric zebras in the fields of MedicineJan 15 2017Jan 27 2017A few notes on the use of machine learning in medicine and the related unintended consequences.

Constructing matrix geometric meansJun 17 2009Jul 24 2010In this paper, we analyze the process of "assembling" new matrix geometric means from existing ones, through function composition or limit processes. We show that for n=4 a new matrix mean exists which is simpler to compute than the existing ones. Moreover, ... More

Off-Criticality and the Massive Brownian Loop SoupSep 24 2013Feb 11 2016We introduce a natural "massive" version of the Brownian loop soup of Lawler and Werner which displays conformal covariance and exponential decay. We show that this massive Brownian loop soup arises as the near-critical scaling limit of a random walk ... More

On the ideal generated by all squarefree monomials of a given degreeSep 21 2016Oct 24 2017An explicit construction is given of a minimal free resolution of the ideal generated by all squarefree monomials of a given degree. The construction relies upon and exhibits the natural action of the symmetric group on the syzygy modules. The resolution ... More

Local solvability of a class of degenerate second order operatorsSep 27 2017In this paper we will first present some results about the local solvability property of a class of degenerate second order linear partial differential operators with smooth coefficients. The class under consideration (which in turn is a generalization ... More

Observation of CP violation in charm decays at LHCbMay 14 2019A search for charge-parity (CP) violation in $D^0 \to K^- K^+$ and $D^0 \to \pi^-\pi^+$ decays is reported, using $pp$ collision data corresponding to an integrated luminosity of 5.9 $\mathrm{fb}^{-1}$ collected at a center-of-mass energy of 13 TeV with ... More

Ideaux stables dans certains anneaux differentiels de formes quasi-modulaires de HilbertJul 22 2004Nesterenko proved, among other results, the algebraic independence over $\QQ$ of the numbers $\pi,e^{\pi},\Gamma(1/4)$. A very important feature of his proof is a multiplicity estimate for quasi-modular forms associated to $\SL_2(\ZZ)$ which involves ... More

On the arithmetic properties of complex values of Hecke-Mahler seriesJul 22 2004Here we characterise in a complete and explicit way the relations of algebraic dependence over $\QQ$ of complex values of Hecke-Mahler series taken at algebraic points of the multiplicative group $\GG_m^2(\CC)$. Our result contains previous theorems by ... More

The coefficients of a Fibonacci power seriesSep 22 2004We give a short proof of the result that all the coefficients of the series (1-x)(1-x^2)(1-x^3)(1-x^5)(1-x^8)(1-x^13)(1-x^21)... are equal to -1, 0, or 1, and most of them are equal to 0.

A priori positivity of solutions to a non-conservative stochastic thin-film equationNov 19 2018Stochastic conservation laws are often challenging when it comes to proving existence of non-negative solutions. In a recent work by J. Fischer and G. Gr\"un (2018, Existence of positive solutions to stochastic thin-film equations, SIAM J. Math. Anal.), ... More

Semimatroids and their Tutte polynomialsAug 31 2004We define and study "semimatroids", a class of objects which abstracts the dependence properties of an affine hyperplane arrangement. We show that geometric semilattices are precisely the posets of flats of semimatroids. We define and investigate the ... More

A note on the O(n)-storage implementation of the GKO algorithmMar 26 2009Dec 01 2009We propose a new O(n)-space implementation of the GKO-Cauchy algorithm for the solution of linear systems with Cauchy-like matrix. Despite its slightly higher computational cost, this new algorithm makes a more efficient use of the processor cache memory. ... More

Rare Kaon Decays K->pi n n and KL->pi l+l-Dec 12 2005Over the next years, the Flavour Physics community will be looking for inconsistencies of the Standard Model (SM) by exploiting new and precise measurements. In these ``indirect new physics'' searches, the key strategy is to concentrate on observables, ... More

The IR-Completion of Gravity: What happens at Hubble Scales?Jul 06 2009Nov 30 2009We have recently proposed an "Ultra-Strong" version of the Equivalence Principle (EP) that is not satisfied by standard semiclassical gravity. In the theory that we are conjecturing, the vacuum expectation value of the (bare) energy momentum tensor is ... More

Backlund transformations for the elliptic Gaudin model and a Clebsch systemJan 25 2011A two-parameters family of Backlund transformations for the classical elliptic Gaudin model is constructed. The maps are explicit, symplectic, preserve the same integrals as for the continuous flows and are a time discretization of each of these flows. ... More

High availability using virtualizationOct 09 2009High availability has always been one of the main problems for a data center. Till now high availability was achieved by host per host redundancy, a highly expensive method in terms of hardware and human costs. A new approach to the problem can be offered ... More

A Note on Edwards' Hypothesis for Zero-Temperature Ising DynamicsOct 21 2004We give a simple criterion for checking the so called Edwards' hypothesis in certain zero-temperature, ferromagnetic spin-flip dynamics and use it to invalidate the hypothesis in various examples in dimension one and higher.

A population-based approach to background discrimination in particle physicsOct 28 2010Mar 15 2013Background properties in experimental particle physics are typically estimated using control samples corresponding to large numbers of events. This can provide precise knowledge of average background distributions, but typically does not consider the ... More

Closed graph theorems for bornological spacesAug 06 2015The aim of this paper is that of discussing Closed Graph Theorems for bornological vector spaces in a way which is accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over $\mathbb{R}$ and $\mathbb{C}$ ... More

Turbulent amplification of magnetic field driven by dynamo effect at rippled shocksApr 17 2013We derive analytically the vorticity generated downstream of a two-dimensional rippled hydromagnetic shock neglecting fluid viscosity and resistivity. The growth of the turbulent component of the downstream magnetic field is driven by the vortical eddies ... More

Optimal Polynomial Admissible Meshes on Some Classes of Compact Subsets of $\R^d$Feb 19 2013Dec 10 2015We show that any compact subset of $\R^d$ which is the closure of a bounded star-shaped Lipschitz domain $\Omega$, such that $\complement \Omega$ has positive reach in the sense of Federer, admits an \emph{optimal AM} (admissible mesh), that is a sequence ... More

Coarsening in inhomogeneous systemsApr 01 2015This Article is a brief review of coarsening phenomena occurring in systems where quenched features - such as random field, varying coupling constants or lattice vacancies - spoil homogeneity. We discuss the current understanding of the problem in ferromagnetic ... More

Brownian Loops and Conformal FieldsJan 20 2015Feb 11 2016The main topic of these lecture notes is the continuum scaling limit of planar lattice models. One reason why this topic occupies an important place in the theory of probability and mathematical statistical physics is that scaling limits provide the link ... More

Proportionality Principle for the Lipschitz simplicial volumeNov 01 2014We prove the Proportionality Principle for the Lipschitz simplicial volume without any restriction on curvature. Our argument is based on the construction of a suitable \emph{pseudostraightening} for simplices.

On a generalization of affinoid varietiesJan 22 2014Jun 20 2016In this thesis we develop the foundations for a theory of analytic geometry over a valued field, uniformly encompassing the case when the base field is equipped with a non-archimedean valuation and the case when it has an archimedean one. Our building ... More

Testing for separability is hardJan 18 2014This paper shows that it is computationally hard to decide (or test) if a consumption data set is consistent with separable preferences.

Reconstructing a website's lost past: Methodological issues concerning the history of www.unibo.itApr 20 2016This paper describes how born digital primary sources could be used to reconstruct the recent history of scientific institutions. The case study is an analysis of the first 25 years online of the University of Bologna. The focus of this work is primarily ... More

CLT for the zeros of Kostlan Shub Smale random polynomialsApr 21 2015Apr 23 2015In this paper we find the asymptotic main term of the variance of the number of roots of Kostlan-Shub-Smale random polynomials and prove a central limit theorem for the number of roots as the degree goes to infinity.

A sum-shuffle formula for zeta values in Tate algebrasSep 28 2016Oct 13 2016We prove a sum-shuffle formula for double zeta values in Tate algebras. This follows from an analog result for double twisted power sums, implying that an F\_p-vector space generated by multiple zeta values in Tate algebras is an F\_p-algebra.

Infrared-modified UniverseApr 18 2012We consider a Hubble expansion law modified in the infra-red by distance-dependent terms, and attempt to enforce homogeneity upon it. As a warm-up, we re-derive the basic kinematics of a Friedman Robertson Walker universe without using standard general ... More

Neither Name, Nor NumberDec 20 2011Since its origins, Quantum mechanics has presented problems with the concept of individuality. It is argued that quantum particles do not have individuality, and so, one can speak about "entities without identity". On the contrary, we claim that the problem ... More

On Natural Deduction for Herbrand Constructive Logics III: The Strange Case of the Intuitionistic Logic of Constant DomainsMar 20 2018Oct 18 2018The logic of constant domains is intuitionistic logic extended with the so-called forall-shift axiom, a classically valid statement which implies the excluded middle over decidable formulas. Surprisingly, this logic is constructive and so far this has ... More

The extremal plurisubharmonic function of the torusNov 07 2018We compute the extremal plurisubharmonic function of the real torus viewed as a compact subset of its natural algebraic complexification.

Synchronization of a double pendulum with moving pivots: a study of the spectrumFeb 14 2018The model we consider consists in a double pendulum set, where the pivot points are free to shift along a horizontal line. Moreover, the two pendula are coupled by means of a spring whose extremities connect two points of each pendulum, at a fixed distance ... More

A true real-time success story: the case of collecting beauty-ful data at the LHCb experimentJun 22 2018Jun 25 2018The LHCb experiment at CERN is currently completing its first big data taking campaign at the LHC started in 2009. It has been collecting data at more than 2.5 times its nominal design luminosity value and with a global efficiency of ~92%. Even more striking, ... More

The Two-fold Role of Observables in Classical and Quantum KinematicsNov 18 2017Apr 11 2018Observables have a dual nature in both classical and quantum kinematics: they are at the same time \emph{quantities}, allowing to separate states by means of their numerical values, and \emph{generators of transformations}, establishing relations between ... More

Modern Random Access for Satellite CommunicationsJun 30 2017The present PhD dissertation focuses on modern random access (RA) techniques. In the first part an slot- and frame-asynchronous RA scheme adopting replicas, successive interference cancellation and combining techniques is presented and its performance ... More

Development and regression of a large fluctuationMar 08 2017We study the evolution leading to (or regressing from) a large fluctuation in a Statistical Mechanical system. We introduce and study analytically a simple model of many identically and independently distributed microscopic variables $n_m$ ($m=1,M$) evolving ... More

Pluripotential NumericsApr 11 2017We introduce numerical methods for the approximation of the main (global) quantities in Pluripotential Theory as the \emph{extremal plurisubharmonic function} $V_E^*$ of a compact $\mathcal L$-regular set $E\subset \C^n$, its \emph{transfinite diameter} ... More

Laplace Beltrami operator in the Baran metric and pluripotential equilibrium measure: the ball, the simplex and the sphereMar 24 2017Apr 11 2017The Baran metric $\delta_E$ is a Finsler metric on the interior of $E\subset \R^n$ arising from Pluripotential Theory. We consider the few instances, namely $E$ being the ball, the simplex, or the sphere, where $\delta_E$ is known to be Riemaniann and ... More

On Natural Deduction for Herbrand Constructive Logics I: Curry-Howard Correspondence for Dummett's Logic LCSep 11 2016Sep 27 2016Dummett's logic LC is intuitionistic logic extended with Dummett's axiom: for every two statements the first implies the second or the second implies the first. We present a natural deduction and a Curry-Howard correspondence for first-order and second-order ... More

Essential dimension and genericity for quiver representationsOct 20 2018We study the essential dimension of representations of a fixed quiver with given dimension vector. We also consider the question of when the genericity property holds, i.e., when essential dimension and generic essential dimension agree. We classify the ... More

On the motivic class of an algebraic groupJul 31 2018We give an example of a torus $G$ over a finitely generated field extension $F$ of $\mathbb{Q}$ whose classifying stack $BG$ is stably rational and such that $\{BG\}\neq \{G\}^{-1}$ in the Grothendieck ring of algebraic stacks over $F$. We also give an ... More

On the Noether Problem for torsion subgroups of toriDec 13 2018We consider the Noether Problem for stable and retract rationality for the sequence of $d$-torsion subgroups $T[d]$ of a torus $T$, $d\geq 1$. We show that the answer to these questions only depends on $d\pmod{e(T)}$, where $e(T)$ is the period of the ... More

A nonlocal stochastic Cahn-Hilliard equationOct 27 2015Mar 07 2016We consider a stochastic extension of the nonlocal convective Cahn-Hilliard equation containing an additive Wiener process noise. We first introduce a suitable analytical setting and make some mathematical and physical assumptions. We then establish, ... More

Tutte polynomials of hyperplane arrangements and the finite field methodOct 04 2017The Tutte polynomial is a fundamental invariant associated to a graph, matroid, vector arrangement, or hyperplane arrangement. This short survey focuses on some of the most important results on Tutte polynomials of hyperplane arrangements. We show that ... More

The number of halving circlesAug 25 2004A set S of 2n+1 points in the plane is said to be in general position if no three points of S are collinear and no four are concyclic. A circle is called halving with respect to S if it has three points of S on its circumference, n-1 points in its interior, ... More

Sufficient conditions for local solvability of some degenerate PDO with complex subprincipal symbolJun 29 2018Oct 02 2018We will show a local solvability result for a class of degenerate second order linear partial differential operators with a complex subprincipal symbol. Due to the form of the operators in the class the subprincipal symbol is invariantly defined and we ... More

Quadratic Vector EquationsApr 09 2010Jun 07 2011We study in an unified fashion several quadratic vector and matrix equations with nonnegativity hypotheses. Specific cases of such problems (QBD equations, nonsymmetric algebraic Riccati equations, Lu's simple equation, Markovian binary trees equations) ... More

Towards Conformal Invariance and a Geometric Representation of the 2D Ising Magnetization FieldMay 14 2012We study the continuum scaling limit of the critical Ising magnetization in two dimensions. We prove the existence of subsequential limits, discuss connections with the scaling limit of critical FK clusters, and describe work in progress of the author ... More

Non-local Realistic Theories and the Scope of the Bell TheoremNov 18 2008According to a widespread view, the Bell theorem establishes the untenability of so-called 'local realism'. On the basis of this view, recent proposals by Leggett, Zeilinger and others have been developed according to which it can be proved that even ... More

Virial identity and dispersive estimates for the $n$-dimensional Dirac equationMar 01 2011May 17 2011We extend to general dimension $n\ge1$ the virial identity proved by Boussaid-D'Ancona-Fanelli for the 3D magnetic Dirac equation. As an application we deduce smoothing and Strichartz estimates for an $n$-dimensional Dirac equation perturbed with a magnetic ... More

Global small solutions to the critical radial Dirac equation with potentialMar 01 2011May 23 2011We solve globally a radial cubic Dirac equation perturbed with a small potential, with data of small critical norm $H^{1}$. The main tool are new endpoint estimates of the perturbed Dirac flow for a class of radial-type initial data.

New views on the low-energy side of gravityOct 26 2009Jan 20 2010Common wisdom associates all the unraveled and theoretically challenging aspects of gravity with its UV-completion. However, there appear to be few difficulties afflicting the effective framework for gravity already at low energy, that are likely to be ... More

Vus from Kl3 DecaysNov 07 2004Nov 09 2004Important progress made this year, both in theory and in experiment, helped solving the problem of 2 sigma-deviation from the unitarity of the first row elements in the CKM matrix. Today we have, |Vus|^2 + |Vud|^2 + |Vub|^2-1 = -0.0008(13), -0.0010(13), ... More

A characterization of relatively hyperbolic groups via bounded cohomologyMay 17 2015Nov 07 2016It was proved by Mineyev and Yaman that, if $(\Gamma, \Gamma')$ is a relatively hyperbolic pair, the comparison map $$ H_b^k(\Gamma, \Gamma'; V) \to H^k(\Gamma, \Gamma'; V) $$ is surjective for every $k \ge 2$, and any bounded $\Gamma$--module $V$. By ... More

Complete Angular Distributions of the Deuteron Photo-Disintegration Reaction in the Few GeV RegionJan 24 2013The study of two body deuteron photo-disintegration is ideal for investigating the transition region from meson exchange to the Quantum Chromo Dynamics (QCD) regime because of its simplicity and amenability to calculation. In the past years, the theoretical ... More

Phase Transition in NK-Kauffman Networks and its Correction for Boolean IrreducibilityAug 01 2012Apr 11 2014In a series of articles published in 1986 Derrida, and his colleagues studied two mean field treatments (the quenched and the annealed) for \textit{NK}-Kauffman Networks. Their main results lead to a phase transition curve $ K_c \, 2 \, p_c \left( 1 - ... More

Backlund transformations and Hamiltonian flowsJul 02 2012Mar 08 2013In this work we show that, under certain conditions, parametric Backlund transformations (BTs) for a finite dimensional integrable system can be interpreted as solutions to the equations of motion defined by an associated non-autonomous Hamiltonian. The ... More

From orphan works, a new role of libraries for the public domain and public interest (Dalle opere orfane, un nuovo ruolo delle biblioteche per il pubblico dominio e l'utilità sociale)Nov 24 2014Nov 26 2014Summarising the new orphan works law of Italy, we show how it makes the public interest prevail and allows libraries and other beneficiaries to improve their services. We then argue that such services are part of their mission towards the public domain ... More

The Role of Boolean Irreducibility in \textit{NK}-Kauffman NetworksApr 11 2014Boolean variables are such that they take only values on $ \mathbb{Z}_2 \cong \left\{0, 1 \right\} $. \textit{NK}-Kauffman networks are dynamical deterministic systems of $ N $ Boolean functions that depend only on $ K \leq N $ Boolean variables. They ... More

Strong Normalization for HA + EM1 by Non-Deterministic ChoiceSep 05 2013We study the strong normalization of a new Curry-Howard correspondence for HA + EM1, constructive Heyting Arithmetic with the excluded middle on Sigma01-formulas. The proof-term language of HA + EM1 consists in the lambda calculus plus an operator ||_a ... More

Particle-level kinematic fingerprints and the multiplicity of neutral particles from low-energy strong interactionsDec 05 2014The contamination, or background, from uninteresting low-energy strong interactions is a major issue for data analysis at the Large Hadron Collider. In the light of the challenges associated with the upcoming higher-luminosity scenarios, methods of assigning ... More

Torsion zero cycles with modulus on affine varietiesApr 21 2016In this note we show that given a smooth affine variety $X$ over an algebraically closed field $k$ and an effective (possibly non reduced) Cartier divisor $D$ on it, the Kerz-Saito Chow group of zero cycles with modulus ${\rm CH}_0(X|D)$ is torsion free, ... More

Single-valued multiple zeta values in genus 1 superstring amplitudesDec 17 2015We study the functions $D_{\underline{l}}$ introduced by Green, Russo, Vanhove in the context of type II superstring scattering amplitudes of 4 gravitons on a torus. In particular we describe a method to algorithmically compute the coefficients in their ... More

Toward the estimation of background fluctuations under newly-observed signals in particle physicsNov 10 2013Dec 16 2014When the number of events associated with a signal process is estimated in particle physics, it is common practice to extrapolate background distributions from control regions to a predefined signal window. This allows accurate estimation of the expected, ... More

Against the No-Go Philosophy of Quantum MechanicsJul 11 2013In the area of the foundations of quantum mechanics a true industry appears to have developed in the last decades, with the aim of proving as many results as possible concerning what there cannot be in the quantum realm. In principle, the significance ... More

On an integrable discretisation of the Ablowitz-Ladik hierarchyMar 07 2013Following the general results on the relationships about Backlund transformations (BTs) and exact discretisation given in a previous work [12], we consider the Ablowitz-Ladik hierarchy and a corresponding family of BTs. After discussing the boundary conditions, ... More

On the ideal generated by all squarefree monomials of a given degreeSep 21 2016An explicit construction is given of a minimal free resolution of the ideal generated by all squarefree monomials of a given degree. The construction relies upon and exhibits the natural action of the symmetric group on the syzygy modules. The resolution ... More

MaaS and GDPR: an overviewNov 08 2017In MaaS (Mobility as a Service), means of transport are virtualized in mobility resources and provided to users using the Internet. From a legal perspective, this model of ITS (Intelligent Transport System) raises several concerns with regard to data ... More

Studies on Generalized Yule ModelsMar 20 2018Nov 16 2018We present a generalization of the Yule model for macroevolution in which, for the appearance of genera, we consider point processes with the $OS$ property, while for the growth of species we use nonlinear time-fractional pure birth processes. Further, ... More

Open Problems in Relational Quantum MechanicsOct 20 2017The Rovelli relational interpretation of quantum mechanics (RQM) is based on the assumption according to which the notion of observer-independent state of a physical system is to be rejected. In RQM the primary target of the theory is the analysis of ... More

Chasing Individuation: Mathematical Description of Physical SystemsDec 09 2016This work is a conceptual analysis of certain recent developments in the mathematical foundations of Classical and Quantum Mechanics which have allowed to formulate both theories in a common language. From the algebraic point of view, the set of observables ... More

The Escaramujo Project: instrumentation courses during a road trip across the AmericasNov 18 2016Nov 21 2016The Escaramujo Project was a series of eight hands-on laboratory courses on High Energy Physics and Astroparticle Instrumentation, in Latinamerican Institutions. The Physicist Federico Izraelevitch traveled on a van with his wife and dogs from Chicago ... More

Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudesApr 21 2018In this PhD thesis we study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are involved in ... More

The spin $\pm$1 Teukolsky equations and the Maxwell system on SchwarzschildDec 21 2016Dec 22 2016In this note we prove decay for the spin $\pm$1 Teukolsky Equations on the Schwarzschild spacetime. These equations are those satisfied by the extreme components ($\alpha$ and $\underline \alpha$) of the Maxwell field, when expressed with respect to a ... More

Algebraic and geometric methods in enumerative combinatoricsSep 09 2014Feb 10 2015A survey written for the upcoming "Handbook of Enumerative Combinatorics".

A note on hyperspaces and the compact-open topologyDec 13 2014We prove that the inclusion of map(X,Y) into map(K(X),K(Y)) is continuous, where K(X) is the space of non-empty compact subsets of X (also known as the hyperspace of compact subsets of X), and both spaces of maps are endowed with the compact-open topology. ... More

On the c-concavity with respect to the quadratic cost on a manifoldFeb 18 2018Pushing a little forward an approach proposed by Villani, we are going to prove that in the Riemannian setting the condition $\nabla^2 f< g$ implies that $f$ is $c$-concave with respect to the quadratic cost as soon as it has a sufficiently small $C^1$-norm. ... More

Families of distributions and Pfaff systems under dualityMay 16 2013Feb 02 2015A singular distribution on a non-singular variety $X$ can be defined either by a subsheaf $D$ of the tangent sheaf, or by the zeros of a subsheaf $D^0$ of the sheaf of 1-forms. Although both definitions are equivalent under mild conditions on $D$, they ... More

A cycle class map from Chow groups with modulus to relative $K$-theoryJun 21 2017Jan 09 2018Let $\bar{X}$ be a smooth quasi-projective $d$-dimensional variety over a field $k$ and let $D$ be an effective Cartier divisor on it. In this note, we construct cycle class maps from (a variant of) the higher Chow group with modulus of the pair $(\bar{X},D)$ ... More

Torsion zero cycles with modulus on affine varietiesApr 21 2016Mar 17 2017In this note we show that given a smooth affine variety $X$ over an algebraically closed field $k$ and an effective (possibly non reduced) Cartier divisor $D$ on it, the Kerz-Saito Chow group of zero cycles with modulus ${\rm CH}_0(X|D)$ is torsion free, ... More

Prehomogeneous tensor spacesJun 23 2016Feb 11 2018We refine the classification of prehomogeneous vector spaces, provided by Sato-Kimura, in the case of tensor spaces, presenting a quick way to check whether a given tensor space is prehomogeneous or not.

Generators of truncated symmetric polynomialsNov 28 2010May 24 2016Adem and Reichstein introduced the ideal of truncated symmetric polynomials to present the permutation invariant subring in the cohomology of a finite product of projective spaces. Building upon their work, I describe a generating set of the ideal of ... More