total 1332took 0.12s

Fractional Immigration-Death ProcessesJul 17 2019In this paper we study explicit strong solutions for two difference-differential fractional equations, defined via the generator of an immigration-death process, by using spectral methods. Moreover, we give a stochastic representation of the solutions ... More

A Markov approximation and related bounds for stochastically drifted processes and applications to neuronal modellingFeb 25 2019In order to include a stochastic input in the Leaky Integrate-and-Fire (LIF) neuronal model, we consider a linear stochastic differential equation (SDE) having the stochastic process $Z(t)$ in the drift coefficient. We characterize the solution $X(t)$ ... More

Time-changed fractional Ornstein-Uhlenbeck processJul 10 2019We define a time-changed fractional Ornstein-Uhlenbeck process by composing a fractional Ornstein-Uhlenbeck process with the inverse of a subordinator. Properties of the moments of such process are investigated and the existence of the density is shown. ... More

On the exit time from open sets of some semi-Markov processesSep 19 2017Mar 04 2019In this paper we characterize the distribution of the first exit time from an arbitrary open set for a class of semi-Markov processes obtained as time-changed Markov processes. We estimate the asymptotic behaviour of the survival function (for large $t$) ... More

On the exit time from open sets of some semi-Markov processesSep 19 2017Semi-Markov processes constructed by means of a time-change, based on the inverse of a subordinator, are considered. The tail of the distribution of the exit time from an arbitrary open set is investigated and its asymptotic behaviour is derived. Our ... More

Fractional Erlang QueuesDec 27 2018We introduce a fractional generalization of the Erlang Queues $M/E_k/1$. Such process is obtained through a time-change via inverse stable subordinator of the classical queue process. We first exploit the (fractional) Kolmogorov forward equation for such ... More

Sylvester's law of inertia for quadratic forms on vector bundlesJul 08 2013Aug 06 2013This paper presents a generalisation of Sylvester's law of inertia to real non-degenerate quadratic forms on a fixed real vector bundle over a connected locally connected paracompact Hausdorff space. By interpreting the classical inertia as a complete ... More

Results from cosmics and first LHC beam with the ALICE HMPID detectorJul 27 2009Sep 21 2009The ALICE HMPID (High Momentum Particle IDentification) detector has been designed to identify charged pions and kaons in the range 1 < p < 3 GeV/c and protons in the range 1.5 < p < 5 GeV/c. It consists of seven identical proximity focusing RICH (Ring ... More

Gravitational Waves from a Population of Galactic Neutron StarsJan 05 1998The existence of a large number of asymmetric, rotating neutron stars, each individually emitting periodic or quasi-periodic gravitational waves in the frequency band around 100 Hz, raises the possibility of detecting their combined signals, by exploiting ... More

Induced paramagnetic states by localized $π$-loops in grain boundariesMar 11 2003Recent experiments on high-temperature superconductors show paramagnetic behavior localized at grain boundaries (GB). This paramagnetism can be attributed to the presence unconventional d-wave induced $\pi$-junctions. By modeling the GB as an array of ... More

Massive binary star mergers in galactic nuclei: implications for blue stragglers, binary S-stars and gravitational wavesMar 07 2019Most of the stars are believed to be born in binaries or higher-multiplicity systems. The implications of the presence of a binary population in galactic nuclei have been under scrutiny only recently. Observations suggest that our Galactic Centre harbours ... More

Nbd is not cartesian closedJul 19 2017In this short note it is shown that the category of neighborhood spaces is not cartesian closed.

The emergence of the concept of filter in topological categoriesJul 19 2017In all approaches to convergence where the concept of filter is taken as primary, the usual motivation is the notion of neighborhood filter in a topological space. However, these approaches often lead to spaces more general than topological ones, thereby ... More

Dynamical origin of S-type planets in close binary starsDec 06 2018Understanding the origin of planets that have formed in binary stars is fundamental to constrain theories of binary and planet formation. The planet occurrence rate in binaries with a separation $\lesssim 50$ AU is only $\sim$ one third that of wider ... More

Tidal breakup of quadruple stars in the Galactic CentreApr 26 2018Jun 07 2018The most likely origin of hypervelocity stars (HVSs) is the tidal disruption of a binary star by the supermassive black hole (MBH) in the Galactic Centre (GC). However, HE0437-5439, a $9$ M$_\odot$ B-type main-sequence star moving with a heliocentric ... More

Precision Electroweak Physics and Higgsless Models in Warped SpaceSep 14 2004We study tree level corrections to precision electroweak physics in the recently proposed Higgsless models in warped space. Such models inherit from their similarity with technicolor theories a large contribution to the oblique parameters, S in particular. ... More

SUSY Particles Searches at LEP and Interpretations within the MSSMOct 08 2002Searches for R-parity conserving supersymmetric particles have been performed in e+e- data collected by LEP detectors, at centre-of-mass energies up to 209GeV, corresponding to an integrated luminosity of 3.1fb-1. The results and their interpretation ... More

The Construction of the CMS Silicon Strip TrackerJan 16 2008The CMS Silicon Strip tracker is a very large scale tracker entirely based on silicon strip detectors technology. The integration of modules, electronics, mechanics and services has been completed within the last eighteen months; first large standalone ... More

An Introduction to Quantum Computing, Without the PhysicsAug 11 2017Nov 19 2018This paper is a gentle but rigorous introduction to quantum computing intended for discrete mathematicians. Starting from a small set of assumptions on the behavior of quantum computing devices, we analyze their main characteristics, stressing the differences ... More

Biaxiality in the asymptotic analysis of a 2-D Landau-de Gennes model for liquid crystalsJul 30 2013Jan 08 2014We consider the Landau-de Gennes variational problem on a bound\-ed, two dimensional domain, subject to Dirichlet smooth boundary conditions. We prove that minimizers are maximally biaxial near the singularities, that is, their biaxiality parameter reaches ... More

Compressing redundant information in Markov chainsMay 03 2006Jun 23 2006Given a strongly stationary Markov chain and a finite set of stopping rules, we prove the existence of a polynomial algorithm which projects the Markov chain onto a minimal Markov chain without redundant information. Markov complexity is hence defined ... More

Higgs and Beyond Standard Model Searches at LEPNov 06 2004Extensive searches for Higgs bosons and other new phenomena predicted by extensions of the Standard Model have been performed at LEP. A summary is given reviewing the principal aspects and presenting a selection of results.

Relativity Experiments in the Solar SystemApr 27 1995Recent theoretical works on alternative metric theories of gravity give greater significance to solar-system tests of General Relativity. In particular, it is suggested that the post-Newtonian parameter $\gamma$ ought to be determined with great precision ... More

Cryptanalysis of a non-commutative key exchange protocolJun 22 2013In the papers by Alvarez et al. and Pathak and Sanghi a non-commutative based public key exchange is described. A similiar version of it has also been patented (US7184551). In this paper we present a polynomial time attack that breaks the variants of ... More

Epitopological and pseudotopological fundamental group functorsJul 18 2017In these notes the epitopological and pseudotopological fundamental group functors are introduced. These are functors from the category of pointed epitopological and pseudotopological spaces respectively, to the category of their respective group-objects. ... More

The construction and commissioning of the CMS Silicon Strip TrackerSep 19 2008Oct 06 2008As the start up date for LHC approaches, the detectors are readying for data taking. Here a review will be given on the construction phase with insights into the various difficulties encountered during the process. An overview will also be given of the ... More

Bayesian complementary clustering, MCMC and Anglo-Saxon placenamesSep 24 2014Jul 02 2015Common cluster models for multi-type point processes model the aggregation of points of the same type. In complete contrast, in the study of Anglo-Saxon settlements it is hypothesized that administrative clusters involving complementary names tend to ... More

The topologies of Supersymmetry signals at LEPSep 12 2002The topologies arising from the production of supersymmetric particles at the LEP collider are briefly reviewed recalling detector requirements, simulation and other experimental issues.

An Unexpected Effect in ALEPH: Long-Term Displacements of the Silicon Vertex DetectorMay 16 2002The ALEPH Silicon Vertex Detector for LEP2 featured a laser survey system to monitor its mechanical stability. The analysis of laser system data from 1997 to 2000 showed that VDET suffered a time-dependent displacement. It resulted to be compatible with ... More

Sinusoidal Gravitational Waves from the Nuclei of Active GalaxiesMay 26 1993It is believed that most quasars and galaxies present two common features: the presence in their core of a supermassive object, and the experience of one or more encounters with other galaxies. In this scenario, it is likely that a substantial fraction ... More

Generation of discrete random variables in scalable frameworkNov 21 2016In this paper, we face the problem of simulating discrete random variables with general and varying distribution in a scalable framework, where fully parallelizable operations should be preferred. Compared with classical algorithms, we add randomness, ... More

Development and characterization of detectors for large area application in neutron scattering and small area application in neutron reflectometryMay 29 2019Neutron scattering techniques offer a unique combination of structural and the dynamic information of atomic and molecular systems over a wide range of distances and times. The increasing complexity in science investigations driven by technological advances ... More

Constructions of Locally Recoverable Codes which are OptimalJun 29 2018We provide a Galois theoretical framework which allows to produce good polynomials for the Tamo and Barg construction of optimal locally recoverable codes (LRC). Our approach allows to prove existence results and to construct new good polynomials, which ... More

Almost periodic functions and hyperbolic countingOct 19 2016Nov 22 2018In this paper we prove the existence of asymptotic moments, and an estimate on the tails of the limiting distribution, for a specific class of almost periodic functions. Then we introduce the hyperbolic circle problem, proving an estimate on the asymptotic ... More

Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes modelJan 21 2015Apr 16 2016We consider the Landau-de Gennes variational model for nematic liquid crystals, in three-dimensional domains. More precisely, we study the asymptotic behaviour of minimizers as the elastic constant tends to zero, under the assumption that minimizers are ... More

Don't follow the leader: How ranking performance reduces meritocracyJul 18 2019In the name of meritocracy, modern economies devote increasing amounts of resources to quantifying and ranking the performance of individuals and organisations. Rankings send out powerful signals, which lead to identify the actions of top performers as ... More

CMS Inner Tracker Detector ModulesNov 06 2004The production of silicon detector modules that will instrument the CMS Inner Tracker has nowadays reached 1300 units out of the approximately 3700 needed in total, with an overall yield close to 96%. A description of the module design, the assembly procedures ... More

The CMS Si-strip TrackerFeb 03 2004The Compact Muon Solenoid (CMS) experiment at LHC features the largest Silicon Strip Tracker (SST) ever build. This device is immersed in a 4T magnetic field and, in conjunction with a Pixel system, it allows the momentum of the charged particles to be ... More

Almost periodic functions and hyperbolic countingOct 19 2016In this paper we prove the existence of asymptotic moments, and an estimate on the tails of the limiting distribution, for a specific class of almost periodic functions. Then we introduce the hyperbolic circle problem, proving an estimate on the asymptotic ... More

A frequency approach to topological identification and graphical modelingAug 07 2011This works explores and illustrates recent results developed by the author in field of dynamical network analysis. The considered approach is blind, i.e., no a priori assumptions on the interconnected systems are available. Moreover, the perspective is ... More

Observations of Gamma-ray Bursts in the Fermi eraApr 20 2013May 23 2013The Fermi observatory, with its Gamma-Ray Bursts monitor (GBM) and Large Area Telescope (LAT), is observing Gamma-ray Bursts with unprecedented spectral coverage and sensitivity, from ~10 keV to > 300 GeV. In the first 3 years of the mission it observed ... More

The Moment Guided Monte Carlo method for the Boltzmann equationJul 04 2012Jul 09 2013In this work we propose a generalization of the Moment Guided Monte Carlo method developed in [11]. This approach permits to reduce the variance of the particle methods through a matching with a set of suitable macroscopic moment equations. In order to ... More

Game Theory (Open Access textbook with 165 solved exercises)Dec 21 2015This is an Open Access textbook on non-cooperative Game Theory with 165 solved exercises.

Generation of discrete random variables in scalable frameworksNov 21 2016Jul 10 2017In this paper, we face the problem of simulating discrete random variables with general and varying distributions in a scalable framework, where fully parallelizable operations should be preferred. The new paradigm is inspired by the context of discrete ... More

Performance of hybrid quantum/classical variational heuristics for combinatorial optimizationMay 30 2018Dec 13 2018The recent literature on near-term applications for quantum computers contains several examples of the applications of hybrid quantum/classical variational approaches. This methodology can be applied to a variety of optimization problems, but its practical ... More

On the selection of polynomials for the DLP quasi-polynomial time algorithm in small characteristicJun 26 2017Feb 28 2019In this paper we characterize the set of polynomials $f\in\mathbb F_q[X]$ satisfying the following property: there exists a positive integer $d$ such that for any positive integer $\ell$ less or equal than the degree of $f$, there exists $t_0$ in $\mathbb ... More

A semi-analytical model of the Galilean satellites' dynamicsFeb 21 2018Jul 26 2018The Galilean satellites' dynamics has been studied extensively during the last century. In the past it was common to use analytical expansions in order to get simple models to integrate, but with the new generation computers it became prevalent the numerical ... More

Implicit-Explicit multistep methods for hyperbolic systems with multiscale relaxationApr 08 2019We consider the development of high order space and time numerical methods based on Implicit-Explicit (IMEX) multistep time integrators for hyperbolic systems with relaxation. More specifically, we consider hyperbolic balance laws in which the convection ... More

Selective model-predictive control for flocking systemsMar 16 2016In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of the control. As a first step toward a reduction of computational cost, we introduce a model predictive control ... More

Physics as Information ProcessingDec 02 2010I review some recent advances in foundational research at Pavia QUIT group. The general idea is that there is only Quantum Theory without quantization rules, and the whole Physics---including space-time and relativity--is emergent from the quantum-information ... More

On the "principle of the quantumness", the quantumness of Relativity, and the computational grand-unificationJan 07 2010Feb 09 2010After reviewing recently suggested operational "principles of the quantumness", I address the problem on whether Quantum Theory (QT) and Special Relativity (SR) are unrelated theories, or instead, if the one implies the other. I show how SR can be indeed ... More

A statistical mechanics model for the emergence of consensusMar 01 2004Mar 31 2005The statistical properties of pairwise majority voting over S alternatives is analyzed in an infinite random population. We first compute the probability that the majority is transitive (i.e. that if it prefers A to B to C, then it prefers A to C) and ... More

Parametrization of Minimal Spectral Factors of Discrete-Time Rational Spectral DensitiesSep 09 2016In this paper, the problem of providing a complete parametrization of the minimal spectral factors of a discrete-time rational spectral density is considered. The desired parametrization is given in terms of the all-pass divisors of an all-pass function, ... More

Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamicsOct 03 2012In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a large number ... More

On wireless connection between Josephson qubitsMar 26 2009By attributing a circulating Josephson current induced diamagnetic moment to a SQUID-type three-level qubit, a wireless connection between such qubits is proposed based only on dipole-dipole interaction between their moments. The estimates of the model ... More

Stochastic Volatility with Heterogeneous Time ScalesMay 31 2012Apr 03 2013Agents' heterogeneity is recognized as a driver mechanism for the persistence of financial volatility. We focus on the multiplicity of investment strategies' horizons, we embed this concept in a continuous time stochastic volatility framework and prove ... More

The solid angle and the Burgers formula in the theory of gradient elasticity: line integral representationDec 10 2013A representation of the solid angle and the Burgers formula as line integral is derived in the framework of the theory of gradient elasticity of Helmholtz type. The gradient version of the Eshelby-deWit representation of the Burgers formula of a closed ... More

The importance of space and time in neuromorphic cognitive agentsFeb 26 2019Artificial neural networks and computational neuroscience models have made tremendous progress, allowing computers to achieve impressive results in artificial intelligence (AI) applications, such as image recognition, natural language processing, or autonomous ... More

Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisationJan 11 2019We consider a Landau-de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime - i.e., the size of the inclusions is much ... More

The solution of the Sixth Hilbert Problem: the Ultimate Galilean RevolutionJan 29 2018I argue for a full mathematisation of the physical theory, including its axioms, which must contain no physical primitives. In provocative words: "physics from no physics". Although this may seem an oxymoron, it is the royal road to keep complete logical ... More

Black Hole Mergers from QuadruplesMar 07 2019With the hundreds of merging binary black hole (BH) signals expected to be detected by LIGO/Virgo, LISA and other instruments in the next few years, the modeling of astrophysical channels that lead to the formation of compact-object binaries has become ... More

Stochastic Interpretation of Quasi-periodic Event-based SystemsDec 09 2015Many networks used in machine learning and as models of biological neural networks make use of stochastic neurons or neuron-like units. We show that stochastic artificial neurons can be realized on silicon chips by exploiting the quasi-periodic behavior ... More

Confinement in QCD: Results and Open ProblemsOct 11 2005Progress is reviewed in the understanding of color confinement .

Color confinement and dual superconductivity: an updateApr 30 2002The evidence for dual superconductivity as a mechanism for color confinement is reviewed. New developments are presented for full QCD, i.e. in the presence of dynamical quarks.

The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifierMay 21 2019We determine the maximum squashed entanglement achievable between sender and receiver of the noiseless quantum Gaussian attenuators and amplifiers, and prove that it is achieved sending half of an infinitely squeezed two-mode vacuum state. The key ingredient ... More

On the existence of a solution to a spectral estimation problem \emph{à la} Byrnes-Georgiou-LindquistSep 26 2017Jan 31 2018A parametric spectral estimation problem in the style of Byrnes, Georgiou, and Lindquist was posed in \cite{FPZ-10}, but the existence of a solution was only proved in a special case. Based on their results, we show that a solution indeed exists given ... More

The Density of Shifted and Affine Eisenstein PolynomialsJul 10 2015In this paper we provide a complete answer to a question by Heyman and Shparlinski concerning the natural density of polynomials which are irreducible by Eisenstein's criterion after applying some shift. The main tool we use is a local to global principle ... More

Branching-stable point processesMar 04 2015Oct 27 2015The notion of stability can be generalised to point processes by defining the scaling operation in a randomised way: scaling a configuration by $t$ corresponds to letting such a configuration evolve according to a Markov branching particle system for ... More

Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equationApr 13 2012In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation operator. The scheme, being based on a splitting technique between transport ... More

The secular tidal disruption of stars by low-mass Super Massive Black Holes secondaries in galactic nucleiMar 27 2018Aug 19 2018Stars passing too close to a super massive black hole (SMBH) can produce tidal disruption events (TDEs). Since the resulting stellar debris can produce an electromagnetic flare, TDEs are believed to probe the presence of single SMBHs in galactic nuclei, ... More

Transits Probabilities Around Hypervelocity and Runaway StarsSep 13 2016Dec 06 2016In the blooming field of exoplanetary science, NASA's Kepler Space Telescope has revolutionized our understanding of exoplanets. Kepler's very precise and long-duration photometry is ideal for detecting planetary transits around Sun-like stars. The forthcoming ... More

A new method to constrain the origins of dark matter-free galaxies and their unusual globular clustersMar 15 2019Jul 01 2019We present a novel method to uniquely constrain the collisional evolution of globular cluster (GC) populations that are hypothesized to have recently underwent an episode of violent relaxation due to a strong galaxy-galaxy interaction. We show via analytic ... More

Massive binary star mergers in galactic nuclei: implications for blue stragglers, binary S-stars and gravitational wavesMar 07 2019Jun 19 2019Galactic nuclei are often found to contain young stellar populations and, in most cases, a central supermassive black hole (SMBH). Most known massive stars are found in binaries or higher-multiplicity systems, and in a galactic nucleus the gravitational ... More

Black hole mergers from quadruplesMar 07 2019May 13 2019With the hundreds of merging binary black hole (BH) signals expected to be detected by LIGO/Virgo, LISA and other instruments in the next few years, the modeling of astrophysical channels that lead to the formation of compact-object binaries has become ... More

Black hole mergers from an evolving population of globular clustersJun 06 2018Oct 09 2018The high rate of black hole (BH) mergers detected by LIGO/Virgo opened questions on their astrophysical origin. One possibility is the dynamical channel, in which binary formation and hardening is catalyzed by dynamical encounters in globular clusters ... More

Constraining Milky Way mass with Hypervelocity StarsAug 04 2016Nov 04 2016Context. Although a variety of techniques have been employed for determining the Milky Way dark matter halo mass distribution, the range of allowed masses spans both light and heavy values. Knowing the precise mass of our Galaxy is important for placing ... More

The dynamical matter density in the solar neighbourhood inferred from Gaia DR1Nov 20 2017Sep 03 2018We determine the total dynamical density in the solar neighbourhood using the Tycho-Gaia Astrometric Solution (TGAS) catalogue. Astrometric measurements of proper motion and parallax of stars inform us of both the stellar number density distribution and ... More

QCD vacuum and confinementApr 03 2002This course consists of two lectures. In the first lecture I discuss why a non perturbative formulation of QCD is needed, and I show that lattice formulation copes with this need, even if it mainly produces numerical results. In the second lecture I discuss ... More

First data at Belle II and Dark Sector physicsAug 02 2018Belle II is a major upgrade of the Belle experiment and operates at the $B$-factory SuperKEKB in Japan. Since the SuperKEKB collider has a design luminosity of 8$\;\times\;$10$^{35}$ cm$^{-2}$s$^{-1}$, about 40 times larger than that of KEKB, Belle II ... More

Migration of Mg and other interstitial metal dopants in GaNJun 22 2017The minimum energy paths for the migration of interstitial Mg in wurtzite GaN are studied through density functional calculations. The study also comprises Li, Na, and Be dopants to examine the dependence on size and charge of the dopant species. In all ... More

On the existence of infinite, non-trivial $F$-setsFeb 22 2016In this paper we prove a conjecture of J. Andrade, S. J. Miller, K. Pratt and M. Trinh, showing the existence of a non trivial infinite $F$-set over $\mathbb F_q[x]$ for every fixed $q$. We also provide the proof of a refinement of the conjecture, involving ... More

Enriched Regular TheoriesJul 04 2019Regular and exact categories were first introduced by Michael Barr in 1971; since then, the theory has developed and found many applications in algebra, geometry, and logic. In particular, a small regular category determines a certain theory, in the sense ... More

A fractional eigenvalue problem in $\mathbb{R}^N$Jun 18 2015We prove that a linear fractional operator with an asymptotically constant lower order term in the whole space admits eigenvalues.

A general construction for monoid-based knapsack protocolsNov 06 2013Apr 01 2014We present a generalized version of the knapsack protocol proposed by D. Naccache and J. Stern at the Proceedings of Eurocrypt (1997). Our new framework will allow the construction of other knapsack protocols having similar security features. We will ... More

User Longevity and Engagement in Mobile Multiplayer Sports Management GamesMar 10 2017Mobile games are extremely popular and engage millions of people every day. Even if they are often quite simple, their development features a high degree of difficulty and requires close attention to both achieve a high satisfaction from users and grant ... More

Binary interaction algorithms for the simulation of flocking and swarming dynamicsMar 04 2012Microscopic models of flocking and swarming takes in account large numbers of interacting individ- uals. Numerical resolution of large flocks implies huge computational costs. Typically for $N$ interacting individuals we have a cost of $O(N^2)$. We tackle ... More

A canonical form for Gaussian periodic processesFeb 28 2012This article provides a representation theorem for a set of Gaussian processes; this theorem allows to build Gaussian processes with arbitrary regularity and to write them as limit of random trigonometric series. We show via Karhunen-Love theorem that ... More

Light 't Hooft Top PartnersNov 16 2015May 05 2016Vector-like quarks, usually dubbed top partners, are a common presence in composite Higgs models. Being composite objects, their mass is expected to be of the order of their inverse size, that is the condensation scale of the new strong interactions. ... More

Eisenstein Polynomials over Function FieldsJun 17 2015In this paper we compute the density of monic and non-monic Eisenstein polynomials of fixed degree having entries in an integrally closed subring of a function field over a finite field.

Coherence-based multivariate analysis of high frequency stock market valuesMay 18 2008The paper tackles the problem of deriving a topological structure among stock prices from high frequency historical values. Similar studies using low frequency data have already provided valuable insights. However, in those cases data need to be collected ... More

Inverse Ising problem for one-dimensional chains with arbitrary finite-range couplingsSep 26 2011Nov 15 2011We study Ising chains with arbitrary multispin finite-range couplings, providing an explicit solution of the associated inverse Ising problem, i.e. the problem of inferring the values of the coupling constants from the correlation functions. As an application, ... More

Robustness of large-scale stochastic matrices to localized perturbationsAug 31 2013May 16 2015Upper bounds are derived on the total variation distance between the invariant distributions of two stochastic matrices differing on a subset W of rows. Such bounds depend on three parameters: the mixing time and the minimal expected hitting time on W ... More

Interacting Generalized Pólya Urn SystemsJan 07 2016We consider a system of interacting Generalized P\'olya Urns (GPUs) having irreducible mean replacement matrices. The interaction is modeled through the probability to sample the colors from each urn, that is defined as convex combination of the urn proportions ... More

Multi-scale control variate methods for uncertainty quantification in kinetic equationsOct 25 2018Kinetic equations play a major rule in modeling large systems of interacting particles. Uncertainties may be due to various reasons, like lack of knowledge on the microscopic interaction details or incomplete informations at the boundaries. These uncertainties, ... More

Causality re-establishedApr 28 2018Causality never gained the status of a "law" or "principle" in physics. Some recent literature even popularized the false idea that causality is a notion that should be banned from theory. Such misconception relies on an alleged universality of reversibility ... More

Independence on the Abelian Projection of Monopole Condensation in QCDJun 18 2002It is proven that dual superconductivity of QCD vacuum in the confining phase is an intinsic property, independent on the choice of the abelian projection used to define the monopoles.

Gauge Invariance and Lattice MonopolesSep 17 2010The number and the location of monopoles in Lattice configurations depend on the choice of the gauge, in contrast to the obvious requirement that monopoles, as physical objects, have a gauge-invariant status. It is proved, starting from non-abelian Bianchi ... More

About Monopoles in QCDSep 08 2015The hypothesis is analysed that the monopoles condensing in QCD vacuum to make it a dual superconductor are classical solutions of the equations of motion.

Analytic Estimate of the Order Parameter for Monopole Condensation in QCDOct 18 2006The disorder parameter $<\mu>$ for the condensation of monopoles in QCD is estimated analytically in terms of gauge invariant field strength correlators. The continuum limit is discussed.

Confinement of color: open problems and perspectivesFeb 06 2006Some basic features of confinement are reviewed, in particular the symmetry patterns of the dual dynamics. Open problems and possible directions of progress are discussed.