Results for "Francesco Tudisco"

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Higher-order ergodicity coefficientsJul 10 2019Ergodicity coefficients for stochastic matrices provide valuable upper bounds for the magnitude of subdominant eigenvalues, allow to bound the convergence rate of methods for computing the stationary distribution and can be used to estimate the sensitivity ... More
Modularity bounds for clusters located by leading eigenvectors of the normalized modularity matrixFeb 17 2016Nodal theorems for generalized modularity matrices ensure that the cluster located by the positive entries of the leading eigenvector of various modularity matrices induces a connected subgraph. In this paper we obtain lower bounds for the modularity ... More
An algebraic analysis of the graph modularityOct 11 2013Jul 22 2014One of the most relevant tasks in network analysis is the detection of community structures, or clustering. Most popular techniques for community detection are based on the maximization of a quality function called modularity, which in turn is based upon ... More
Total variation based community detection using a nonlinear optimization approachJul 18 2019Maximizing the modularity of a network is a successful tool to identify an important community of nodes. However, this combinatorial optimization problem is known to be NP-hard. Inspired by recent nonlinear modularity eigenvector approaches, we introduce ... More
Community detection in networks via nonlinear modularity eigenvectorsAug 18 2017Sep 12 2018Revealing a community structure in a network or dataset is a central problem arising in many scientific areas. The modularity function $Q$ is an established measure quantifying the quality of a community, being identified as a set of nodes having high ... More
A note on certain ergodicity coefficientsJul 14 2013Nov 12 2015We investigate two ergodicity coefficients $\phi_{\|\, \|}$ and $\tau_{n-1}$, originally introduced to bound the subdominant eigenvalues of nonnegative matrices. The former has been generalized to complex matrices in recent years and several properties ... More
On the stability of network indices defined by means of matrix functionsSep 15 2017Oct 25 2018Identifying important components in a network is one of the major goals of network analysis. Popular and effective measures of importance of a node or a set of nodes are defined in terms of suitable entries of functions of matrices $f(A)$. These kinds ... More
Localization of dominant eigenpairs and planted communities by means of Frobenius inner productsFeb 17 2016We propose a new localization result for the leading eigenvalue and eigenvector of a symmetric matrix $A$. The result exploits the Frobenius inner product between $A$ and a given rank-one landmark matrix $X$. Different choices for $X$ may be used, depending ... More
Generalized modularity matricesFeb 04 2015Various modularity matrices appeared in the recent literature on network analysis and algebraic graph theory. Their purpose is to allow writing as quadratic forms certain combinatorial functions appearing in the framework of graph clustering problems. ... More
A nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-LaplacianFeb 17 2016Mar 12 2016We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ ... More
Multi-Dimensional, Multilayer, Nonlinear and Dynamic HITSSep 21 2018We introduce a ranking model for temporal multi-dimensional weighted and directed networks based on the Perron eigenvector of a multi-homogeneous order-preserving map. The model extends to the temporal multilayer setting the HITS algorithm and defines ... More
A modularity based spectral method for simultaneous community and anti-community detectionSep 20 2017In a graph or complex network, communities and anti-communities are node sets whose modularity attains extremely large values, positive and negative, respectively. We consider the simultaneous detection of communities and anti-communities, by looking ... More
The contractivity of cone-preserving multilinear mappingsAug 13 2018With the notion of mode-$j$ Birkhoff contraction ratio, we prove a multilinear version of the Birkhoff-Hopf and the Perron-Fronenius theorems, which provide conditions on the existence and uniqueness of a solution to a large family of systems of nonlinear ... More
The contractivity of cone-preserving multilinear mappingsAug 13 2018Jul 12 2019With the notion of mode-$j$ Birkhoff contraction ratio, we prove a multilinear version of the Birkhoff-Hopf and the Perron-Fronenius theorems, which provide conditions on the existence and uniqueness of a solution to a large family of systems of nonlinear ... More
The Perron-Frobenius Theorem for Multi-homogeneous MapsFeb 10 2017We introduce the notion of order-preserving multi-homogeneous mapping which allows to study Perron-Frobenius type theorems and nonnegative tensors in unified fashion. We prove a weak and strong Perron-Frobenius theorem for these maps and provide a Collatz-Wielandt ... More
Clustering Signed Networks with the Geometric Mean of LaplaciansJan 03 2017Signed networks allow to model positive and negative relationships. We analyze existing extensions of spectral clustering to signed networks. It turns out that existing approaches do not recover the ground truth clustering in several situations where ... More
A unifying Perron-Frobenius theorem for nonnegative tensors via multi-homogeneous mapsJan 12 2018Inspired by the definition of symmetric decomposition, we introduce the concept of shape partition of a tensor and formulate a general tensor spectral problem that includes all the relevant spectral problems as special cases. We formulate irreducibility ... More
Node and layer eigenvector centralities for multiplex networksNov 22 2017Eigenvector-based centrality measures are among the most popular centrality measures in network science. The underlying idea is intuitive and the mathematical description is extremely simple in the framework of standard, mono-layer networks. Moreover, ... More
The Perron-Frobenius theorem for multi-homogeneous mappingsJan 12 2018The Perron-Frobenius theory for nonnegative matrices has been generalized to order-preserving homogeneous mappings on a cone and more recently to nonnegative multilinear forms. We unify both approaches by introducing the concept of order-preserving multi-homogeneous ... More
Extrapolation Methods for fixed-point Multilinear PageRank computationsJun 04 2019Nonnegative tensors arise very naturally in many applications that involve large and complex data flows. Due to the relatively small requirement in terms of memory storage and number of operations per step, the (shifted) higher-order power method is one ... More
Spectral Clustering of Signed Graphs via Matrix Power MeansMay 15 2019Signed graphs encode positive (attractive) and negative (repulsive) relations between nodes. We extend spectral clustering to signed graphs via the one-parameter family of Signed Power Mean Laplacians, defined as the matrix power mean of normalized standard ... More
The Power Mean Laplacian for Multilayer Graph ClusteringMar 01 2018Multilayer graphs encode different kind of interactions between the same set of entities. When one wants to cluster such a multilayer graph, the natural question arises how one should merge the information different layers. We introduce in this paper ... More
An Efficient Multilinear Optimization Framework for Hypergraph MatchingNov 09 2015May 24 2016Hypergraph matching has recently become a popular approach for solving correspondence problems in computer vision as it allows to integrate higher-order geometric information. Hypergraph matching can be formulated as a third-order optimization problem ... More
On complex power nonnegative matricesJul 11 2013Nov 20 2013Power nonnegative matrices are defined as complex matrices having at least one nonnegative integer power. We exploit the possibility of deriving a Perron Frobenius-like theory for these matrices, obtaining three main results and drawing several consequences. ... More
Chaotically spiking attractors in suspended mirror optical cavitiesJun 17 2010A high-finesse suspended mirror Fabry-Perot cavity is experimentally studied in a regime where radiation pressure and photothermal effect are both relevant. The competition between these phenomena, operating at different time scales, produces unobserved ... More
Quasi-Normal Modes from Non-Commutative Matrix DynamicsNov 02 2016We explore the connection between the process of relaxation in the BMN matrix model and the physics of black holes in AdS/CFT. Focusing on Dyson-fluid solutions of the matrix model, we perform numerical simulations of the real time dynamics of the system. ... More
Study of distortion effects and clustering of isotopic impurities in solid molecular para-hydrogen by Shadow Wave FunctionsDec 12 2006We employed a fully optimized Shadow Wave Function (SWF) in combination with Variational Monte Carlo techniques to investigate the properties of HD molecules and molecular ortho-deuterium (o-D_2) in bulk solid para-hydrogen (p-H_2). Calculations were ... More
Diffusion Monte Carlo study of the equation of state of solid ortho-D$_2$Dec 12 2006We present results of Diffusion Monte Carlo calculations for a system of solid ortho-D_2 at different densities, for pressure ranging from 0 up to 350MPa. We compare the equation of state obtained using two of the most used effective intermolecular potentials, ... More
Variational Monte Carlo study of the ground state properties and vacancy formation energy of solid para-H2 using a shadow wave functionOct 18 2003A Shadow Wave Function (SWF) is employed along with Variational Monte Carlo techniques to describe the ground state properties of solid molecular para-hydrogen. The study has been extended to densities below the equilibrium value, to obtain a parameterization ... More
Computing Stuttering SimulationsApr 09 2009Stuttering bisimulation is a well-known behavioral equivalence that preserves CTL-X, namely CTL without the next-time operator X. Correspondingly, the stuttering simulation preorder induces a coarser behavioral equivalence that preserves the existential ... More
Coexisting attractors and chaotic canard explosions in a slow-fast optomechanical systemMay 21 2013The multiple time scale dynamics induced by radiation pressure and photothermal effects in a high-finesse optomechanical resonator is experimentally studied. At difference with two-dimensional slow-fast systems, the transition from the quasiharmonic to ... More
Generalized Strong Preservation by Abstract InterpretationJan 21 2004Mar 14 2006Standard abstract model checking relies on abstract Kripke structures which approximate concrete models by gluing together indistinguishable states, namely by a partition of the concrete state space. Strong preservation for a specification language L ... More
Some Exact Results on the Ultrametric Overlap Distribution in Mean Field Spin Glass Models (I)Feb 22 2000The mean field spin glass model is analyzed by a combination of mathematically rigororous methods and a powerful Ansatz. The method exploited is general, and can be applied to others disordered mean field models such as, e.g., neural networks. It is well ... More
An Efficient Simulation Algorithm on Kripke StructuresDec 05 2012Jul 29 2013A number of algorithms for computing the simulation preorder (and equivalence) on Kripke structures are available. Let Sigma denote the state space, -> the transition relation and Psim the partition of Sigma induced by simulation equivalence. While some ... More
Fluctuations and thermodynamic variables in mean field spin glass modelsDec 12 2012We present two rigorous results on the Sherrington-Kirkpatrick mean field model for spin glasses, proven by elementary methods, based on properties of fluctuations, with respect to the external quenched noise, of the thermodynamic variables and order ... More
The replica symmetric region in the Sherrington-Kirkpatrick mean field spin glass model. The Almeida-Thouless lineApr 28 2006In previous work, we have developed a simple method to study the behavior of the Sherrington-Kirkpatrick mean field spin glass model for high temperatures, or equivalently for high external fields. The basic idea was to couple two different replicas with ... More
About the cavity fields in mean field spin glass modelsJul 28 2003We give the explicit expression of the infinite volume limit for the random overlap structures appearing in the mean field spin glass model. These structures have the expected factorization property for the cavity fields, and enjoy invariance with respect ... More
Functional order parameters for the quenched free energy in mean field spin glass modelsDec 12 2012In the Sherrington-Kirkpatrick mean field model for spin glasses, we show that the quenched average of the free energy can be expressed through a couple of functional order parameters, in a form very similar to the one found in the frame of the replica ... More
Spin GlassesJul 25 2005This is a short review about recent methods and results, mostly for mean field spin glasses, based on interpolation and comparison schemes. In particular, the Parisi spontaneous replica symmetry breaking phenomenon is described in the frame of extended ... More
Manolescu correction terms and even Dehn surgeryJul 18 2016We discuss the behavior of Manolescu's correction terms under Dehn surgery with coefficient the reciprocal of a non-zero even number. We provide some applications to homology cobordism, Seifert fibered surgeries and concordance invariants.
Accretion disk winds in active galactic nuclei: X-ray observations, models, and feedbackMar 03 2016Powerful winds driven by active galactic nuclei (AGN) are often invoked to play a fundamental role in the evolution of both supermassive black holes (SMBHs) and their host galaxies, quenching star formation and explaining the tight SMBH-galaxy relations. ... More
Nuclear matter and chiral phase transition at large-$N_{c}$Jun 02 2011Two aspects of the QCD phase diagrams are studied in the limit of a large number of colors: at zero temperature and nonzero density the (non)existence of nuclear matter, and at zero density and nonzero temperature the chiral phase transition.
Mixing of scalar tetraquark and quarkonia states in a chiral approachNov 30 2006Feb 11 2007A chiral invariant Lagrangian describing the tetraquark-quarkonia interaction is considered at the leading and subleading order in the large-$N_{c}$ expansion. Spontaneous chiral symmetry breaking generates mixing of scalar tetraquark and quarkonia states ... More
Mesons beyond the quark-antiquark pictureNov 14 2015Jan 11 2016The vast majority of mesons can be understood as quark-antiquark states. Yet, various other possibilities exists: glueballs (bound-state of gluons), hybrids (quark-antiquark plus gluon), and four-quark states (either as diquark-antidiquark or molecular ... More
On unitary evolution and collapse in Quantum MechanicsJun 09 2014Dec 09 2014In the framework of an interference setup in which only two outcomes are possible (such as in the case of a Mach-Zehnder interferometer), we discuss in a simple and pedagogical way the difference between a standard, unitary quantum mechanical evolution ... More
Light scalars as tetraquarks: decays and mixing with quarkoniaNov 20 2007Nov 25 2007The tetraquark assignement for light scalar states below 1 GeV is discussed on the light of strong decays. The next-to-leading order in the large-N expansion for the strong decays is considered. Mixing with quarkonia states above 1 GeV is investigated ... More
Finite-dimensional representations of difference operators, and the identification of remarkable matricesNov 13 2014Dec 05 2014Two square matrices of (arbitrary) order N are introduced. They are defined in terms of N arbitrary numbers z_{n}, and of an arbitrary additional parameter (a respectively q), and provide finite-dimensional representations of the two operators acting ... More
Appendix: proof of the Uniformity ConjectureAug 03 2011Aug 18 2011This paper originated as an appendix to the paper "Topology and Geometry of the Berkovich Ramification Locus for Rational Functions, II" by Xander Faber arXiv:1104.0943v2 [math.NT]. It may however be read independently. We prove a variant of Alain Robert's ... More
Beyond QCD: A Composite UniverseJan 22 2012Strong dynamics constitutes one of the pillars of the standard model of particle interactions, and it accounts for the bulk of the visible matter in the universe. It is therefore a well posed question to ask if the rest of the universe can be described ... More
Mass Deformed Exact S-parameter in Conformal TheoriesJun 01 2010We use the exact expression for the S parameter in the perturbative region of the conformal window to establish its dependence on the explicit introduction of fermion masses. We demonstrate that the relative ordering with which one sends to zero either ... More
Dynamical Stabilization of the Fermi Scale: Phase Diagram of Strongly Coupled Theories for (Minimal) Walking Technicolor and UnparticlesApr 01 2008We summarize basic features associated to dynamical breaking of the electroweak symmetry. The knowledge of the phase diagram of strongly coupled theories as function of the number of colors, flavors and matter representation plays a fundamental role when ... More
Higher Representations: Confinement and Large NJul 26 2005We investigate the confining phase transition as function of temperature for theories with dynamical fermions in the two index symmetric and antisymmetric representation of the gauge group. By studying the properties of the center of the gauge group we ... More
Color Superconductivity: Symmetries and Effective LagrangiansJul 24 2001I briefly review the symmetries and the associated low energy effective Lagrangian for two light flavor Color Superconductivity (2SC).
Large N Scalars: From Glueballs to Dynamical Higgs ModelsAug 29 2015We construct effective Lagrangians, and corresponding counting schemes, valid to describe the dynamics of the lowest lying large N stable massive composite state emerging in strongly coupled theories. The large N counting rules can now be employed when ... More
Locking Internal and Space-Symmetries: Relativistic Vector CondensationMar 19 2003Internal and Lorentz symmetries are necessarily linked when considering non scalar condensates. Here I review vectorial type condensation due to a non zero chemical potential associated to some of the global conserved charges of the theory. The phase ... More
Sequestered String Models: Supersymmetry Breaking and Cosmological ApplicationsMar 18 2016In the present thesis I studied the phenomenology arising from a class of string models called sequestered compactifications, which were born with the aim of getting low-energy SUSY from strings. This is not an easy task if combined with cosmological ... More
How `Complex' is the Dirac Equation?Oct 14 1998A representation of the Lorentz group is given in terms of 4 X 4 matrices defined over a simple non-division algebra. The transformation properties of the corresponding four component spinor are studied, and shown to be equivalent to the transformation ... More
Split-Quaternions and the Dirac EquationApr 25 2014Jul 07 2014We show that Dirac 4-spinors admit an entirely equivalent formulation in terms of 2-spinors defined over the split-quaternions. In this formalism, a Lorentz transformation is represented as a $2 \times 2$ unitary matrix over the split-quaternions. The ... More
4-Spinors and 5D SpacetimeJul 09 2013Dec 09 2013We revisit the subject exploring maps from the space of 4-spinors to 3+1 space-time that commute with the Lorentz transformation. All known mappings have a natural embedding in a higher five dimensional spacetime, and can be succinctly expressed as products ... More
Hyperbolic Numbers and the Dirac SpinorDec 03 1998A representation of the Lorentz group is given in terms of 4 X 4 matrices defined over the hyperbolic number system. The transformation properties of the corresponding four component spinor are studied, and shown to be equivalent to the transformation ... More
The kinematical Hilbert space of Loop Quantum Gravity from BF theoriesDec 09 2010Aug 23 2011In this work, it is demonstrated how the kinematical Hilbert space of Loop Quantum Gravity (LQG) can be inferred from the configuration space of BF theories via the imposition of the Hamiltonian constraints. In particular, it is outlined how the projection ... More
Large time behavior for the heat equation on Carnot groupsDec 10 2012We first generalize a decomposition of functions on Carnot groups as linear combinations of the Dirac delta and some of its derivatives, where the weights are the moments of the function. We then use the decomposition to describe the large time behavior ... More
Geostatistical modeling in the presence of interaction between the measuring instruments, with an application to the estimation of spatial market potentialsJul 31 2012Apr 15 2013This paper addresses the problem of recovering the spatial market potential of a retail product from spatially distributed sales data. In order to tackle the problem in a general way, the concept of spatial potential is introduced. The potential is concurrently ... More
Khovanov homology in characteristic two and $\mathrm{Pin}(2)$-symmetryOct 27 2016Bar-Natan has introduced for a link $L$ in $S^3$ a variant of Khovanov homology which is defined only over fields of characteristic two. In this paper we discuss a geometric interpretation of his construction: we show how a version of his invariant naturally ... More
A Simple Expression for Mill's Ratio of the Student's $t$-DistributionFeb 05 2015I show a simple expression of the Mill's ratio of the Student's t-Distribution. I use it to prove Conjecture 1 in P. Auer, N. Cesa-Bianchi, and P. Fischer. Finite-time analysis of the multiarmed bandit problem. Mach. Learn., 47(2-3):235--256, May 2002. ... More
Wrapping effects in supersymmetric gauge theoriesMar 16 2010Several perturbative computations of finite-size effects, performed on the gauge side of the AdS/CFT correspondence by means of superspace techniques, are presented. First, wrapping effects are analyzed in the standard N = 4 theory, by means of the calculation ... More
Gamma-rays from the Large Scale Structure of the UniverseJun 25 2002Gamma-ray astronomy will play a crucial role in the investigation of nonthermal processes in the large scale structure of the universe. Particularly, galaxy clusters (GC) observations at this photon energy will help us understand the origin of radio emitting ... More
COSMOCR: A Numerical Code for Cosmic Ray Studies in Computational CosmologyMay 25 2001We present COSMOCR, a numerical code for the investigation of cosmic ray related studies in computational cosmology. The code follows the diffusive shock acceleration, the mechanical and radiative energy losses and the spatial transport of the supra-thermal ... More
Comparative analysis of SN1987A antineutrino fluenceSep 16 2014We discuss the electron antineutrino fluence derived from the events detected by Kamiokande-II, IMB and Baksan on February 23, 1987. The data are analysed adopting a new simple and accurate formula for the signal, improving on the previous modeling of ... More
Signal of neutrinoless double beta decay, neutrino spectrum and oscillation scenariosJun 28 1999The lower and upper bounds on the neutrinoless double beta (0nu-2beta) decay rate are obtained, as functions of the parameters of neutrino oscillations and of the lightest neutrino mass. The constraints on these parameters from the search for the 0nu-2beta ... More
A study of the scenario with nearly degenerate Majorana neutrinosAug 28 1997Motivated by cosmological considerations, and by the atmospheric and solar neutrino flux deficits, we consider the scenario in which the three Standard Model neutrinos are endowed with a nearly equal Majorana mass in the eV range. Combined constraints ... More
La Thuile 2014: Theoretical premises to neutrino round tableMay 07 2014May 25 2014This talk, dedicated to the memory of G. Giacomelli, introduced the round table on neutrinos held in February 2014. The topics selected for the discussion are: 1) the neutrinoless double beta decay rate (interpretation in terms of light neutrinos, nuclear ... More
Neutrinos from galactic sources of cosmic rays with known gamma-ray spectraJul 12 2006We describe a simple procedure to estimate the high-energy neutrino flux from the observed gamma-ray spectra of galactic cosmic ray sources that are transparent to their gamma radiation. We evaluate in this way the neutrino flux from the supernova remnant ... More
Neutrino spectrum, oscillation scenarios and neutrinoless double beta decayApr 15 1999Jul 03 1999We introduce the representation on one unitarity triangle of the constraints resulting (1) from the interpretation of solar and atmospheric neutrino data in terms of oscillations, and (2) from the search for neutrinoless double beta decay. We show its ... More
$R$-Parity Breaking PhenomenologyFeb 26 1996Mar 11 1996We review various features of the $R$-parity breaking phenomenology, with particular attention to the low energy observables, and to the patterns of the $R$-parity breaking interactions that arise in Grand Unified models.
$(B+L)$-conserving Nucleon Decays in Supersymmetric ModelsMar 03 1995The presence of the $(B+L)$-conserving decay modes $n \to K^+ e^-,$ $n \to K^+ \mu^-,$ $p \to K^+ e^- \pi^+$ and $p \to K^+ \mu^- \pi^+$ is shown to be a characteristic feature of a class of models with explicit breaking of $R$-parity. These modes dominate ... More
Degradable channels, less noisy channels, and quantum statistical morphisms: an equivalence relationNov 28 2015Nov 30 2016Two partial orderings among communication channels, namely, `being degradable into' and `being less noisy than,' are reconsidered in the light of recent results about statistical comparisons of quantum channels. Though our analysis covers at once both ... More
On complete positivity, Markovianity, and the quantum data-processing inequality, in the presence of initial system-environment correlationsJul 01 2013Sep 18 2014We show that complete positivity is not only sufficient but also necessary for the validity of the quantum data-processing inequality. As a consequence, the reduced dynamics of a quantum system are completely positive, even in the presence of initial ... More
All Entangled Quantum States Are NonlocalJun 30 2011May 17 2012Departing from the usual paradigm of local operations and classical communication adopted in entanglement theory, here we study the interconversion of quantum states by means of local operations and shared randomness. A set of necessary and sufficient ... More
Comparison of quantum statistical models: equivalent conditions for sufficiencyApr 21 2010Sep 13 2011A family of probability distributions (i.e. a statistical model) is said to be sufficient for another, if there exists a transition matrix transforming the probability distributions in the former to the probability distributions in the latter. The Blackwell-Sherman-Stein ... More
Integrality of Kauffman brackets of trivalent graphsAug 04 2009Nov 29 2009We show that Kauffman brackets of colored framed graphs (also known as quantum spin networks) can be renormalized to a Laurent polynomial with integer coefficients by multiplying it by a coefficient which is a product of quantum factorials depending only ... More
Polysemy Effects and Chronological MemoryNov 27 2016The existence of a polysemy effect in episodic memory is demonstrated through an analysis of data from the experiments of Lohnas et al. (2015) and Healey and Kahana (2016). Three word-length related features are reported: (1) the average distance between ... More
Identification of delays and discontinuity points of unknown systems by using synchronization of chaosDec 24 2009In this paper we present an approach in which synchronization of chaos is used to address identification problems. In particular, we are able to identify: (i) the discontinuity points of systems described by piecewise dynamical equations and (ii) the ... More
Resonant atom-field interaction in large-size coupled-cavity arraysAug 04 2010Apr 05 2011We consider an array of coupled cavities with staggered inter-cavity couplings, where each cavity mode interacts with an atom. In contrast to large-size arrays with uniform-hopping rates where the atomic dynamics is known to be frozen in the strong-hopping ... More
Performance of Monte Carlo Event Generators for the Production of Boson and Multi-Boson States ATLAS AnalysisSep 01 2017The Monte Carlo (MC) setups used by ATLAS to model boson$+\mathrm{jets}$ and multi-boson processes at $\sqrt{s}$ = 13 TeV in proton-proton collisions are described. Comparisons between data and several event generators are provided for key kinematic distributions. ... More
Experimental searches for muon decays beyond the Standard ModelFeb 17 2019The study of muon properties and decays played a crucial role in the early years of particle physics and contributed over decades to build and consolidate the Standard Model. At present, searches for muon decays beyond the Standard Model are performed ... More
An alternative to the Baum-Welch recursions for hidden Markov modelsDec 31 2011We develop a recursion for hidden Markov model of any order h, which allows us to obtain the posterior distribution of the latent state at every occasion, given the previous h states and the observed data. With respect to the well-known Baum-Welch recursions, ... More
Decomposition of the h-indexJan 30 2012Mar 09 2012I introduce a decomposition of the h-index, which is nowadays the leading criterion to assess the relevance of a scientist in his/her research field. According to the proposed decomposition, the h-index is the product of two indicators, the first of which ... More
On regular ultrafilters, Boolean ultrapowers, and Keisler's orderOct 10 2018Feb 15 2019In this paper we analyse and compare two different notions of regularity for filters on complete Boolean algebras. We also announce two results from a forthcoming paper in preparation, which provide a characterization of Keisler's order in terms of Boolean ... More
Compendium of Front-End ElectronicsFeb 02 2018Our world is changing fast. On one hand, technological developments provide us with new and powerful electronics devices on almost a weekly basis. On the other hand, the end-user of these electronics is now rarely required to actually configure the devices, ... More
Restricted Boltzmann Machine Assignment Algorithm: Application to solve many-to-one matching problems on weighted bipartite graphApr 30 2019In this work an iterative algorithm based on unsupervised learning is presented, specifically on a Restricted Boltzmann Machine (RBM) to solve a perfect matching problem on a bipartite weighted graph. Iteratively is calculated the weights $w_{ij}$ and ... More
Production of multiply heavy flavoured baryons from Quark Gluon Plasma in relativistic heavy ion collisionsMar 23 2005Oct 11 2005It is argued that in heavy ion collisions at LHC there could be a sizeable production of baryons containing two or three heavy quarks from statistical coalescence. This production mechanism is peculiar of Quark Gluon Plasma and the predicted rates, in ... More
Subgraph Enumeration in Massive GraphsFeb 14 2014Nov 12 2015We consider the problem of enumerating all instances of a given pattern graph in a large data graph. Our focus is on determining the input/output (I/O) complexity of this problem. Let $E$ be the number of edges in the data graph, $k=O(1)$ be the number ... More
Restricted Boltzmann Machine Assignment Algorithm: Application to solve many-to-one matching problems on weighted bipartite graphApr 30 2019May 02 2019In this work an iterative algorithm based on unsupervised learning is presented, specifically on a Restricted Boltzmann Machine (RBM) to solve a perfect matching problem on a bipartite weighted graph. Iteratively is calculated the weights $w_{ij}$ and ... More
A calculus for shadows of smooth 4-manifoldsJan 26 2002May 14 2002The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.
$\mathrm{Pin}(2)$-Monopole Floer homology and the Rokhlin invariantAug 25 2017We show that the bar version of the $\mathrm{Pin}(2)$-monopole Floer homology of a three-manifold $Y$ equipped with a self-conjugate spin$^c$ structure $\mathfrak{s}$ is determined by the triple cup product of $Y$ together with the Rokhlin invariants ... More
Khovanov homology in characteristic two and involutive monopole Floer homologyOct 27 2016Feb 14 2017We study the conjugation involution in Seiberg-Witten theory in the context of the Ozsv\'ath-Szab\'o and Bloom's spectral sequence for the branched double cover of a link $L$ in $S^3$. We prove that there exists a spectral sequence of $\mathbb{F}[Q]/Q^2$-modules ... More
$\mathrm{Pin}(2)$-monopole Floer homology, higher compositions and connected sumsMay 10 2016We study the behavior of $\mathrm{Pin}(2)$-monopole Floer homology under connected sums. After constructing a (partially defined) $\mathcal{A}_{\infty}$-module structure on the $\mathrm{Pin}(2)$-monopole Floer chain complex of a three manifold (in the ... More
Manolescu correction terms and knots in the three-sphereJul 18 2016Mar 07 2017Manolescu correction terms are numerical invariants of homology three-spheres arising from $\mathrm{Pin}(2)$-equivariant Seiberg-Witten theory that contain information about homology cobordism. We discuss several constraints on these invariants for homology ... More
Lectures on monopole Floer homologyMay 10 2016These lecture notes are a friendly introduction to monopole Floer homology. We discuss the relevant differential geometry and Morse theory involved in the definition. After developing the relation with the four-dimensional theory, our attention shifts ... More