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Control contribution identifies top driver nodes in complex networksJun 11 2019We propose a new measure to quantify the impact of a node $i$ in controlling a directed network. This measure, called `control contribution' $\mathcal{C}_{i}$, combines the probability for node $i$ to appear in a set of driver nodes and the probability ... More

The Rise and Fall of R&D NetworksApr 12 2013Mar 17 2016Drawing on a large database of publicly announced R&D alliances, we empirically investigate the evolution of R&D networks and the process of alliance formation in several manufacturing sectors over a 24-year period (1986-2009). Our goal is to empirically ... More

A network approach for the scientific collaboration in the European Framework ProgramsOct 07 2008We construct the networks of collaboration between partners for projects carried out with the support of European Commission Framework Programs FP5 and FP6. We analyze in detail these networks, not only in terms of total number of projects, but also for ... More

Filtering of complex systems using overlapping tree networksDec 17 2008We introduce a technique that is capable to filter out information from complex systems, by mapping them to networks, and extracting a subgraph with the strongest links. This idea is based on the Minimum Spanning Tree, and it can be applied to sets of ... More

The role of networks in firms' multi-characteristics competition and market-share inequalityJan 21 2016We develop a location analysis spatial model of firms' competition in multi-characteristics space, where consumers' opinions about the firms' products are distributed on multilayered networks. Firms do not compete on price but only on location upon the ... More

The development of nations conditions the disease spaceMar 22 2019Using the economic complexity methodology on data for disease prevalence in 195 countries during the period of 1990-2016, we propose two new metrics for quantifying the relatedness between diseases, or the `disease space' of countries. With these metrics, ... More

The structural role of weak and strong links in a financial market networkMay 16 2008We investigate the properties of correlation based networks originating from economic complex systems, such as the network of stocks traded at the New York Stock Exchange (NYSE). The weaker links (low correlation) of the system are found to contribute ... More

A k-shell decomposition method for weighted networksMay 16 2012Aug 27 2012We present a generalized method for calculating the k-shell structure of weighted networks. The method takes into account both the weight and the degree of a network, in such a way that in the absence of weights we resume the shell structure obtained ... More

The relation between migration and FDI in the OECD from a complex network perspectiveJan 26 2017We explore the relationship between human migration and OECD's foreign direct investment (FDI) using a gravity equation enriched with variables that account for complex-network effects. Based on a panel data analysis, we find a strong positive correlation ... More

The spatial component of R&D networksSep 28 2015We study the role of geography in R&D networks by means of a quantitative, micro-geographic approach. Using a large database that covers international R&D collaborations from 1984 to 2009, we localize each actor precisely in space through its latitude ... More

The network structure of city-firm relationsDec 09 2015How are economic activities linked to geographic locations? To answer this question, we use a data-driven approach that builds on the information about location, ownership and economic activities of the world's 3,000 largest firms and their almost one ... More

Selection rules in alliance formation: strategic decisions or abundance of choice?Mar 13 2014Mar 14 2014We study how firms select partners using a large database of publicly announced R&D alliances over a period of 25 years. We identify, for the first time, two distinct behavioral strategies of firms in forming these alliances. By reconstructing and analysing ... More

The Network of Counterparty Risk: Analysing Correlations in OTC DerivativesJun 15 2015Sep 15 2015Counterparty risk denotes the risk that a party defaults in a bilateral contract. This risk not only depends on the two parties involved, but also on the risk from various other contracts each of these parties holds. In rather informal markets, such as ... More

Positive words carry less information than negative wordsOct 18 2011May 27 2012We show that the frequency of word use is not only determined by the word length \cite{Zipf1935} and the average information content \cite{Piantadosi2011}, but also by its emotional content. We have analyzed three established lexica of affective word ... More

Higher-Order Aggregate Networks in the Analysis of Temporal Networks: Path structures and centralitiesAug 26 2015Recent research on temporal networks has highlighted the limitations of a static network perspective for our understanding of complex systems with dynamic topologies. In particular, recent works have shown that i) the specific order in which links occur ... More

How big is too big? Critical Shocks for Systemic Failure CascadesSep 05 2012Apr 15 2013External or internal shocks may lead to the collapse of a system consisting of many agents. If the shock hits only one agent initially and causes it to fail, this can induce a cascade of failures among neighoring agents. Several critical constellations ... More

The Rise and Fall of R&D NetworksApr 12 2013Aug 05 2017Drawing on a large database of publicly announced R&D alliances, we empirically investigate the evolution of R&D networks and the process of alliance formation in several manufacturing sectors over a 24-year period (1986-2009). Our goal is to empirically ... More

Predicting Scientific Success Based on Coauthorship NetworksFeb 28 2014We address the question to what extent the success of scientific articles is due to social influence. Analyzing a data set of over 100000 publications from the field of Computer Science, we study how centrality in the coauthorship network differs between ... More

The Rise and Fall of R&D NetworksApr 12 2013Oct 30 2016Drawing on a large database of publicly announced R&D alliances, we empirically investigate the evolution of R&D networks and the process of alliance formation in several manufacturing sectors over a 24-year period (1986-2009). Our goal is to empirically ... More

Systemic risk in multiplex networks with asymmetric coupling and threshold feedbackJun 22 2015We study cascades on a two-layer multiplex network, with asymmetric feedback that depends on the coupling strength between the layers. Based on an analytical branching process approximation, we calculate the systemic risk measured by the final fraction ... More

An ensemble perspective on multi-layer networksJul 01 2015We study properties of multi-layered, interconnected networks from an ensemble perspective, i.e. we analyze ensembles of multi-layer networks that share similar aggregate characteristics. Using a diffusive process that evolves on a multi-layer network, ... More

Worldwide spreading of economic crisisAug 23 2010We model the spreading of a crisis by constructing a global economic network and applying the Susceptible-Infected-Recovered (SIR) epidemic model with a variable probability of infection. The probability of infection depends on the strength of economic ... More

Emotional persistence in online chatting communitiesMay 11 2012How do users behave in online chatrooms, where they instantaneously read and write posts? We analyzed about 2.5 million posts covering various topics in Internet relay channels, and found that user activity patterns follow known power-law and stretched ... More

Betweenness Preference: Quantifying Correlations in the Topological Dynamics of Temporal NetworksAug 02 2012May 02 2013We study correlations in temporal networks and introduce the notion of betweenness preference. It allows to quantify to what extent paths, existing in time-aggregated representations of temporal networks, are actually realizable based on the sequence ... More

Causality-Driven Slow-Down and Speed-Up of Diffusion in Non-Markovian Temporal NetworksJul 15 2013Aug 26 2015Recent research has highlighted limitations of studying complex systems with time-varying topologies from the perspective of static, time-aggregated networks. Non-Markovian characteristics resulting from the ordering of interactions in temporal networks ... More

All Simple Venn Diagrams are HamiltonianApr 24 2015An $n$-Venn diagram is a certain collection of $n$ simple closed curves in the plane. They can be regarded as graphs where the points of intersection are vertices and the curve segments between points of intersection are edges. Every $n$-Venn diagram ... More

Fine-Grained Named Entity Recognition using ELMo and WikidataApr 23 2019Fine-grained Named Entity Recognition is a task whereby we detect and classify entity mentions to a large set of types. These types can span diverse domains such as finance, healthcare, and politics. We observe that when the type set spans several domains ... More

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

Cosmic $ΔB$ from Lepton Violating Interactions at the Electroweak Phase TransitionJun 05 1992We propose a new mechanism for late cosmological baryon asymmetry in models with first order electroweak phase transition. Lepton asymmetry arises through the decay of particles produced out of equilbrium in bubble collisions and is converted into baryon ... More

Existence and convexity of solutions of the fractional heat equationJun 01 2016Aug 22 2017We prove that the initial-value problem for the fractional heat equation admits a solution provided that the (possibly unbounded) initial datum has a conveniently moderate growth at infinity. Under the same growth condition we also prove that the solution ... More

Construction of the pseudo Riemannian geometry on the base of the Berwald-Moor geometrySep 05 2006The space of the associative commutative hyper complex numbers, H_4, is a 4-dimensional metric Finsler space with the Berwald-Moor metric. It provides the possibility to construct the tensor fields on the base of the analytical functions of the H_4 variable ... More

A necessary and sufficient condition for minimum phase and implications for phase retrievalJun 15 2016Oct 02 2016We give a necessary and sufficient condition for a function $E(t)$ being of minimum phase, and hence for its phase being univocally determined by its intensity $|E(t)|^2$. This condition is based on the knowledge of $E(t)$ alone and not of its analytic ... More

An Introduction to Quantum Mechanics ... for those who dwell in the macroscopic worldJan 20 2012Feb 18 2016There is a huge number of excellent and comprehensive textbooks on quantum mechanics. They mainly differ for the approach, more or less oriented to the formalism rather than to the phenomenology, as well as for the topics covered. These lectures have ... More

The total Betti number of the intersection of three real quadricsNov 16 2011We prove that the total Betti number of the intersection X of three quadrics in RP^n is bounded by n(n+1). This bound improves the classical Barvinok's one which is at least of order three in n.

The Nature of the Local GroupOct 27 2003The Local Group provides an interesting and representative sample of galaxies in the rest of the Universe. The high accuracy with which many problems can be addressed in Local Group galaxies is of paramount importance for understanding galaxy formation ... More

Thermal Background Corrections to the Neutrino Electromagnetic Vertex in Models with Charged Scalar BosonsNov 24 1993We calculate the correction to the neutrino electromagnetic vertex due to background of electrons in a large class of models, as the supersymmetric model with explicit breaking of R-parity, where charged scalar bosons couple to leptons and which are able ... More

D-branes, String Cosmology and Large Extra DimensionsApr 29 1999D-branes are fundamental in all scenarios where there are large extra dimensions and the string scale is much smaller than the four-dimensional Planck mass. We show that this current picture leads to a new approach to string cosmology where inflation ... More

Supersymmetric electroweak baryogenesis, nonequilibrium field theory and quantum Boltzmann equationsDec 01 1997Dec 03 1997The closed time-path (CTP) formalism is a powerful Green's function formulation to describe nonequilibrium phenomena in field theory and it leads to a complete nonequilibrium quantum kinetic theory. In this paper we make use of the CTP formalism to write ... More

Inflation and the Nature of Supersymmetry BreakingJul 11 1997The scale at which supersymmetry is broken and the mechanism by which supersymmetry breaking is fed down to the observable sector has rich implications on the way Nature may have chosen to accomplish inflation. We discuss a simple model for slow rollover ... More

The Singlet Majoron Model with Hidden Scale InvarianceJan 13 1993We investigate an extension of the Singlet Majoron Model in which the breaking of dilatation symmetry by the mass parameters of the scalar potential is removed by means of a dilaton field. Starting from the one-loop renormalization group improved potential, ... More

Quarkonium dissociation in a thermal bathJan 26 2015In an effective field theory framework we review the two main mechanisms of quarkonium dissociation in a weakly coupled thermal bath.

Heavy Hadron SpectroscopyNov 24 2006I review recent theoretical advances in heavy hadron spectroscopy.

Loop functions in thermal QCDOct 16 2014We discuss divergences of loop functions in thermal QCD and compute perturbatively the Polyakov loop, the Polyakov loop correlator and the cyclic Wilson loop. We show how these functions get mixed under renormalization.

A realistic interpretation of quantum mechanics. Asymmetric random walks in a discrete spacetimeSep 15 2007In this paper, I propose a realistic interpretation (RI) of quantum mechanics, that is, an interpretation according to which a particle follows a definite path in spacetime. The path is not deterministic but it is rather a random walk. However, the probability ... More

Continuum and all-atom description of the energetics of graphene nanoconesMay 04 2007Energies of graphene nanocones with 1 to 5 pentagonal disclinations are studied on an atomically detailed level. The numerical results are interpreted in terms of three different contributions to the cone energy: the core disclination energy, the bending ... More

Buckling transition in icosahedral shells subjected to volume conservation constraint and pressure: relations to virus maturationFeb 03 2006Jun 23 2006Minimal energy shapes of closed, elastic shells with twelve pentagonal disclinations introduced in otherwise hexagonally coordinated crystalline lattice are studied. The geometry and the total energy of shells are studied as a function of the elastic ... More

Coating the carbon nanotubes: Geometry of incommensurate long-range ordered physisorbed monolayersAug 26 2003The structures of long-range ordered physisorbed monolayer on a carbon nanotube are examined. Geometrical and energetical constraints determining the order of such monolayers are discussed. A number of symmetrically different, strongly bound adsorbate ... More

Quantum virial expansion approach to thermodynamics of $^4$He adsorbates in carbon nanotube materials: Interacting Bose gas in one dimensionMay 07 2003I demonstrate that $^4$He adsorbates in carbon nanotube materials can be treated as one-dimensional interacting gas of spinless bosons for temperatures below 8 K and for coverages such that all the adsorbates are in the groove positions of the carbon ... More

Power-Law and Logarithmic Entropy-Corrected Ricci Viscous Dark Energy and Dynamics of Scalar FieldsMar 12 2013In this work, I consider the logarithmic-corrected and the power-law corrected versions of the holographic dark energy (HDE) model in the non-flat FRW universe filled with a viscous Dark Energy (DE) interacting with Dark Matter (DM). We propose to replace ... More

Phenomenology of light sterile neutrinos: a brief reviewFeb 05 2013May 07 2013An increasing number of anomalous experimental results are emerging, which cannot be described within the standard 3-neutrino framework. We present a concise discussion of the most popular phenomenological interpretation of such findings, based on a hypothetical ... More

A conceptual issue on the statistical determination of the neutrino velocityOct 17 2011Jul 12 2012We discuss a conceptual issue concerning the neutrino velocity measurement, in connection with the statistical method employed by the OPERA collaboration for the inference of the neutrino time of flight. We expound the theoretical framework that underlies ... More

Testing large mixing MSW solutions of the solar neutrino problem through Earth regeneration effectsMar 02 2001Large mixing MSW solutions to the solar neutrino problem appear to be currently favored by the data. We discuss the possibility of discriminating them by means of present and future experiments. In particular, we show that the study of energy and time ... More

The Alexander polynomial as quantum invariant of linksAug 09 2013Jan 29 2014In these notes we collect some results about finite dimensional representations of $U_q(\mathfrak{gl}(1|1))$ and related invariants of framed tangles which are well-known to experts but difficult to find in the literature. In particular, we give an explicit ... More

A low-energy determination of $α_s$ at three loopsDec 23 2015We review one of the most accurate low-energy determinations of $\alpha_s$. Comparing at short distances the QCD static energy at three loops and resummation of the next-to-next-to leading logarithms with its determination in 2+1-flavor lattice QCD, we ... More

The maximum relative diameter for multi-rotationally symmetric planar convex bodiesNov 25 2015In this work we study the maximum relative diameter functional $d_M$ in the class of multi-rotationally symmetric planar convex bodies. A given set $C$ of this class is $k$-rotationally symmetric for $k\in\{k_1,\ldots,k_n\}\subset\nn$, and so it is natural ... More

Quantum computation and communication in strongly interacting systemsApr 19 2016Each year, the gap between theoretical proposals and experimental endeavours to create quantum computers gets smaller, driven by the promise of fundamentally faster algorithms and quantum simulations. This occurs by the combination of experimental ingenuity ... More

Status after the first LHC run: Looking for new directions in the physics landscapeJul 05 2015The LHC data have confirmed the Standard Model as the correct theory at the electroweak scale. It successfully explains the experimental results with high precision and all its ingredients, including the Higgs boson, have been finally verified. At the ... More

Late cosmology of brane gases with a two-form fieldNov 17 2003We consider the effects of a two-form field on the late-time dynamics of brane gas cosmologies. Assuming thermal equilibrium of winding states, we find that the presence of a form field allows a late stage of expansion of the Universe even when the winding ... More

Linearly-ordered Radon-Nidkodým compact spacesMar 01 2009We prove that every fragmentable linearly ordered compact space is almost totally disconnected. This combined with a result of Arvanitakis yields that every linearly ordered quasi Radon-Nikodym compact space is Radon-Nikodym, providing a new partial answer ... More

Sex-biased expression of microRNAs in Drosophila melanogasterDec 11 2013Feb 11 2014Most animals have separate sexes. The differential expression of gene products, in particular that of gene regulators, is underlying sexual dimorphism. Analyses of sex-biased expression have focused mostly in protein coding genes. Several lines of evidence ... More

Complete complex hypersurfaces in the ball come in nonsingular foliationsFeb 06 2018In this paper we prove that every smooth complete closed complex hypersurface in the open unit ball $\mathbb{B}_n$ of $\mathbb{C}^n$ $(n\ge 2)$ is a level set of a noncritical holomorphic function on $\mathbb{B}_n$ all of whose level sets are complete. ... More

Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological stringsJun 03 2016Jul 04 2016Bethe/Gauge correspondence as it is usually stated is ill-defined in five dimensions and needs a "non-perturbative" completion; a related problem also appears in three dimensions. It has been suggested that this problem, probably due to incompleteness ... More

Electroweak Symmetry Breaking and the Higgs BosonDec 29 2015The first LHC run has confirmed the Standard Model as the correct theory at the electroweak scale, and the existence of a Higgs-like particle associated with the spontaneous breaking of the electroweak gauge symmetry. These lectures overview the present ... More

Open-Closed String Topology via Fat GraphsJun 20 2006Given a smooth closed manifold M with a family {L_i} of closed submanifolds, we consider the free loop space LM and the spaces PM(L_i,L_j) of open strings (paths g:[0,1]->M with g(0) in L_i, and g(1) in L_j). We construct string topology operations resulting ... More

Non-commutative p-adic L-functions for supersingular primesJan 05 2012Jun 06 2012Let E/Q be an elliptic curve with good supersingular reduction at p with a_p(E)=0. We give a conjecture on the existence of analytic plus and minus p-adic L-functions of E over the Zp-cyclotomic extension of a finite Galois extension of Q where p is unramified. ... More

An Analysis of Source-Side Grammatical Errors in NMTMay 24 2019The quality of Neural Machine Translation (NMT) has been shown to significantly degrade when confronted with source-side noise. We present the first large-scale study of state-of-the-art English-to-German NMT on real grammatical noise, by evaluating on ... More

Complete complex hypersurfaces in the ball come in foliationsFeb 06 2018Feb 21 2018In this paper we prove that every smooth complete closed complex hypersurface in the open unit ball $\mathbb{B}_n$ of $\mathbb{C}^n$ $(n\ge 2)$ is a level set of a noncritical holomorphic function on $\mathbb{B}_n$ all of whose level sets are complete. ... More

Norm-compatible systems of cohomology classes for $\operatorname{GU}(2,2)$Nov 28 2017Jul 18 2018We describe work of Faltings on the construction of \'etale cohomology classes associated to symplectic Shimura varieties and show that they satisfy certain trace compatibilities similar to the ones of Siegel units in the modular curve case. Starting ... More

Trends in Processor ArchitectureJan 16 2018This paper presents an overview of the main trends in processor architecture. It starts with an analysis of the past evolution of processors and the main driving forces behind it, and then it focuses on a description of the main architectural features ... More

On the Existence of Absolutely Maximally Entangled States of Minimal SupportMar 19 2016Apr 29 2016In this paper we prove that no absolutely maximally entangled, AME, state with minimal support exists with 7 sites and 5 levels. General AME states are pure multipartite states that, when reduced to half or less of the sites, the maximum entropy mixed ... More

Extending Cantor ParadoxSep 12 2008Jan 24 2012The inconsistencies involved in the foundation of set theory were invariably caused by infinity and self-reference; and only with the opportune axiomatic restrictions could them be obviated. Throughout history, both concepts have proved to be an exhaustible ... More

A disturbing supertaskApr 18 2008Jan 27 2012This paper examines the consistency of w-order by means of a supertask that functions as a supertrap for the assumed existence of w-ordered collections, which are simultaneously complete (as is required by the Actual infinity) and uncompletable (because ... More

Studies on Conformal and Superconformal Extensions of the Standard Model with an Application to GravityApr 10 2017In this thesis we study some theoretical and phenomenological aspects of classical conformal symmetry in specific extensions of the SM. We consider both supersymmetric and non supersymmetric cases. We discuss the perturbative structure of the superconformal ... More

Parallel line segmentsMar 18 2011In this article I will address some questions about a mathematical problem that my friend Patrizio Frederic, a researcher in statistics at the University of Modena, proposed to me. Given some parallel line segments, is there at least one straight line ... More

A method for integral cohomology of posetsJun 14 2007We present a method to compute integral cohomology of posets. This toolbox is applicable as soon as the sub-posets under each object possess certain structure. This is the case for simplicial complexes and simplex-like posets. The method is based on homological ... More

On the Lie and Cartan Theory of Invariant Differential Systems, IINov 27 2015Dec 16 2016We start discussing basic properties of Lie groupoids and Lie pseudo-groups in view of applying these techniques to the analysis of Jordan-H\"older resolutions and the subsequent integration of partial differential equations which is the summit of Lie ... More

Compact complete minimal immersions in R^3Nov 15 2007Feb 10 2009In this paper we find, for any arbitrary finite topological type, a compact Riemann surface $\mathcal{M},$ an open domain $M\subset\mathcal{M}$ with the fixed topological type, and a conformal complete minimal immersion $X:M\to\R^3$ which can be extended ... More

Constructing black hole solutions in supergravity theoriesMay 09 2019We perform a detailed analysis of black hole solutions in supergravity models. After a general introduction on black holes in general relativity and supersymmetric theories, we provide a detailed description of ungauged extended supergravities and their ... More

SUSY Breaking in Monopole QuiversAug 29 2018We claim that 3d monopole quivers, theories with product gauge groups interacting through Affleck-Harvey-Witten superpotentials, are a natural setup for the study of spontaneous breaking 3d $\mathcal{N}=2$ supersymmetry. We give evidence of this statement ... More

Monodromy inflation and an emergent mechanism for stabilising the cosmological constantJun 12 2018Jan 08 2019We show that a pair of field theory monodromies in which the shift symmetry is broken by small, well motivated deformations, naturally incorporates a mechanism for cancelling off radiative corrections to the cosmological constant. The lighter monodromy ... More

Effective Field Theory with Nambu-Goldstone ModesApr 16 2018These lectures provide an introduction to the low-energy dynamics of Nambu-Goldstone fields, associated with some spontaneous (or dynamical) symmetry breaking, using the powerful methods of effective field theory. The generic symmetry properties of these ... More

Multipoint Okounkov bodiesApr 06 2018Nov 14 2018Starting from the data of a big line bundle $L$ on a projective manifold $X$ with a choice of $N\geq 1$ different points on $X$ we give a new construction of $N$ Okounkov bodies that encodes important geometric features of ($L\to X,p_{1},\dots,p_{N}$) ... More

A new method to compute limb-darkening coefficients for stellar atmosphere models with spherical symmetry: the space missions TESS, Kepler, Corot, and MOSTApr 26 2018One of the biggest problems we can encounter while dealing with the limb-darkening coefficients for stellar atmospheric models with spherical symmetry is the difficulty of adjusting both the limb and the central parts simultaneously. In particular, the ... More

The Björling problem for prescribed mean curvature surfaces in $\mathbb{R}^3$May 06 2018Mar 18 2019In this paper we solve the Bj\"orling problem for the class of immersed surfaces in $\mathbb{R}^3$ whose mean curvature is given as an analytic function depending on its Gauss map. As an application, we prove the existence of surfaces with the topology ... More

Translating solitons of the mean curvature flow in the space $\mathbb{H}^2\times\mathbb{R}$Mar 07 2018Aug 19 2018In this paper we study the theory of self translating solitons of the mean curvature flow of immersed surfaces in the product space $\mathbb{H}^2\times\mathbb{R}$. We relate this theory to the one of manifolds with density, and exploit this relation by ... More

An introduction to multiple gapsJun 24 2014This is an introductory article to the theory of multiple gaps.

The group of isometries of a locally compact metric space with one endNov 01 2009Sep 27 2010In this note we study the dynamics of the natural evaluation action of the group of isometries $G$ of a locally compact metric space $(X,d)$ with one end. Using the notion of pseudo-components introduced by S. Gao and A. S. Kechris we show that $X$ has ... More

On the action of the group of isometries on a locally compact metric spaceFeb 02 2009Mar 06 2010In this short note we give an answer to the following question. Let $X$ be a locally compact metric space with group of isometries $G$. Let $\{g_i\}$ be a net in $G$ for which $g_ix$ converges to $y$, for some $x,y\in X$. What can we say about the convergence ... More

Ground state solution for a problem with mean curvature operator in Minkowski spaceMay 03 2013Jan 17 2014In this paper we prove the existence of a radial ground state solution for a quasilinear problem involving the mean curvature operator in Minkowski space.

On The Equivalence Problem for Geometric Structures, IIDec 29 2014This paper is a continuation of Part I where the general setup was developed. Here we discuss the general equivalence problem for geometric structures and provide criteria for the equivalence, local and global, of transitive structures. Cartan's Flag ... More

A diagram algebra for Soergel modules corresponding to smooth Schubert varietiesNov 27 2013Using combinatorial properties of symmetric polynomials, we compute explicitly the Soergel modules for some permutations whose corresponding Schubert varieties are rationally smooth. We build from them diagram algebras whose module categories are equivalent ... More

The arithmetical rank of the edge ideals of graphs with whiskersJul 05 2013We consider the edge ideals of large classes of graphs with whiskers and for these ideals we prove that the arithmetical rank is equal to the big height. Then we extend these results to other classes of squarefree monomial ideals, generated in any degree, ... More

On the Lie and Cartan Theory of Invariant Differential Systems, IINov 27 2015May 25 2016We discuss the basic properties of Lie groupoids and Lie pseudo-groups in view of applying these techniques to the analysis of Jordan-H\"older resolutions and the subsequent integration of partial differential equations. This is the summit of Lie and ... More

Basic univariate and bivariate statistics for symbolic data: a critical reviewDec 08 2013Some proofs of the problems of the basic statistics proposed for numeric symbolic data.

Complexity of intersections of real quadrics and topology of symmetric determinantal varietiesNov 07 2012Let X be the base locus of a linear system W of k quadrics. Let also S be the intersection of W with the discriminant hypersurface in the space of all homogeneous polynomials of degree two. We prove a formula relating the topology of X with the one of ... More

Random matrices and the average topology of the intersection of two quadricsMay 09 2012Jun 18 2013Let X_R be the zero locus in RP^n of one or two independently and Weyl distributed random real quadratic forms (this is the same as requiring that the corresponding symmetric matrices are in the Gaussian Orthogonal Ensemble). We prove that the sum of ... More

Theories of BaryogenesisJul 22 1998Jul 28 1998These lectures provide a pedagogical review of the present status of theories explaining the observed baryon asymmetry of the Universe. Particular emphasis is given on GUT baryogenesis and electroweak baryogenesis. The key issues, the unresolved problems ... More

Brownian Dynamics Simulation of Polydisperse Hard SpheresJul 02 2012Jul 05 2012Standard algorithms for the numerical integration of the Langevin equation require that interactions are slowly varying during to the integration timestep. This in not the case for hard-body systems, where there is no clearcut between the correlation ... More

Non-relativistic particles in a thermal bathJan 14 2014Heavy particles are a window to new physics and new phenomena. Since the late eighties they are treated by means of effective field theories that fully exploit the symmetries and power counting typical of non-relativistic systems. More recently these ... More

Quarkonium in a weakly-coupled quark-gluon plasmaSep 30 2010We report about a recent calculation of the heavy quarkonium mass and decay width in a quark-gluon plasma, whose temperature T and screening mass m_D satisfy the hierarchy m alpha_s >> pi T >> m alpha_s^2 >> m_D, m being the heavy-quark mass, up to order ... More