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Schmidt gap in random spin chainsMay 18 2018Sep 03 2018We numerically investigate the low-lying entanglement spectrum of the ground state of random one-dimensional spin chains obtained after partition of the chain into two equal halves. We consider two paradigmatic models: the spin-1/2 random transverse field ... More

Many-body quantum state tomography with neural networksMar 15 2017Oct 23 2017The experimental realization of increasingly complex synthetic quantum systems calls for the development of general theoretical methods, to validate and fully exploit quantum resources. Quantum-state tomography (QST) aims at reconstructing the full quantum ... More

Machine learning quantum states in the NISQ eraMay 10 2019We review the development of generative modeling techniques in machine learning for the purpose of reconstructing real, noisy, many-qubit quantum states. Motivated by its interpretability and utility, we discuss in detail the theory of the restricted ... More

Latent Space Purification via Neural Density OperatorsJan 29 2018Jun 16 2018Machine learning is actively being explored for its potential to design, validate, and even hybridize with near-term quantum devices. A central question is whether neural networks can provide a tractable representation of a given quantum state of interest. ... More

Learning Thermodynamics with Boltzmann MachinesJun 08 2016A Boltzmann machine is a stochastic neural network that has been extensively used in the layers of deep architectures for modern machine learning applications. In this paper, we develop a Boltzmann machine that is capable of modelling thermodynamic observables ... More

A Neural Decoder for Topological CodesOct 13 2016We present an algorithm for error correction in topological codes that exploits modern machine learning techniques. Our decoder is constructed from a stochastic neural network called a Boltzmann machine, of the type extensively used in deep learning. ... More

QuCumber: wavefunction reconstruction with neural networksDec 21 2018May 16 2019As we enter a new era of quantum technology, it is increasingly important to develop methods to aid in the accurate preparation of quantum states for a variety of materials, matter, and devices. Computational techniques can be used to reconstruct a state ... More

Reconstructing quantum states with generative modelsOct 24 2018Jul 29 2019A major bottleneck in the quest for scalable many-body quantum technologies is the difficulty in benchmarking their preparations, which suffer from an exponential `curse of dimensionality' inherent to their quantum states. We present an experimentally ... More

Reconstructing quantum states with generative modelsOct 24 2018A major bottleneck in the quest for scalable many-body quantum technologies is the difficulty in benchmarking their preparations, which suffer from an exponential `curse of dimensionality' inherent to their quantum states. We present an experimentally ... More

Dynamics of the entanglement spectrum in spin chainsNov 21 2013Jun 25 2014We study the dynamics of the entanglement spectrum, that is the time evolution of the eigenvalues of the reduced density matrices after a bipartition of a one-dimensional spin chain. Starting from the ground state of an initial Hamiltonian, the state ... More

Wavefunction positivization via automatic differentiationJun 11 2019We introduce a procedure to systematically search for a local unitary transformation that maps a wavefunction with a non-trivial sign structure into a positive-real form. The transformation is parametrized as a quantum circuit compiled into a set of one ... More

The learnability scaling of quantum states: restricted Boltzmann machinesAug 20 2019Generative modeling with machine learning has provided a new perspective on the data-driven task of reconstructing quantum states from a set of qubit measurements. As increasingly large experimental quantum devices are built in laboratories, the question ... More

The learnability scaling of quantum states: restricted Boltzmann machinesAug 20 2019Aug 26 2019Generative modeling with machine learning has provided a new perspective on the data-driven task of reconstructing quantum states from a set of qubit measurements. As increasingly large experimental quantum devices are built in laboratories, the question ... 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

Analyzing the structure of basic quantum knowledge for instructionAug 12 2019Aug 13 2019In order to support students in the development of expertise in quantum mechanics (QM), as well as to provide insight on teaching, we asked which concepts and structures can act as organizing principles in basic QM (RQ1). The research question has been ... More

From sudden quench to adiabatic dynamics in the attractive Hubbard modelAug 03 2017Nov 09 2017We study the crossover between the sudden quench limit and the adiabatic dynamics of superconducting states in the attractive Hubbard model. We focus on the dynamics induced by the change of the attractive interaction during a finite ramp time which is ... More

Fixed target measurements at LHCb for cosmic rays physicsMay 15 2017The LHCb experiment has the unique possibility, among the LHC experiments, to be operated in fixed target mode, using its internal gas target. The energy scale achievable at the LHC, combined with the LHCb forward geometry and detector capabilities, allow ... 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

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

Likelihood test in permutations with bias. Premier League and La Liga: surprises during the last 25 seasonsJul 23 2017Aug 01 2017In this paper, we introduce the models of permutations with bias, which are random permutations of a set, biased by some preference values. We present a new parametric test, together with an efficient way to calculate its p-value. The final tables of ... More

A local to global principle for densities over function fieldsJan 04 2017Let $d$ be a positive integer and $\mathbb H$ be an integrally closed subring of a global function field $F$. The purpose of this paper is to provide a general sieve method to compute densities of subsets of $\mathbb H^d$ defined by local conditions. ... More

Denoising Autoencoders for Overgeneralization in Neural NetworksSep 14 2017Jan 14 2019Despite the recent developments that allowed neural networks to achieve impressive performance on a variety of applications, these models are intrinsically affected by the problem of overgeneralization, due to their partitioning of the full input space ... More

The Temporal Singularity: time-accelerated simulated civilizations and their implicationsJun 22 2018Provided significant future progress in artificial intelligence and computing, it may ultimately be possible to create multiple Artificial General Intelligences (AGIs), and possibly entire societies living within simulated environments. In that case, ... 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

Meta-learnt priors slow down catastrophic forgetting in neural networksSep 09 2019Current training regimes for deep learning usually involve exposure to a single task / dataset at a time. Here we start from the observation that in this context the trained model is not given any knowledge of anything outside its (single) training distribution, ... 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

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

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

QuCumber: wavefunction reconstruction with neural networksDec 21 2018As we enter a new era of quantum technology, it is increasingly important to develop methods to aid in the accurate preparation of quantum states for a variety of materials, matter, and devices. Computational techniques can be used to reconstruct a state ... 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

Marciani Normal Form of context-free grammarsNov 07 2016In this paper, we prove the semidecidability of the problem of saying whether or not a context-free grammar generates a regular language. We introduce the notion of context-free grammar in Marciani Normal Form. We prove that a context-free grammar in ... 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

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

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

Constructions of Locally Recoverable Codes which are OptimalJun 29 2018Sep 01 2019Let $q$ be a prime power and $\mathbb F_q$ be the finite field of size $q$. In this paper we provide a Galois theoretical framework that allows to produce good polynomials for the Tamo and Barg construction of optimal locally recoverable codes (LRC). ... 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

Analyzing the structure of basic quantum knowledge for instructionAug 12 2019In order to support students in the development of expertise in quantum mechanics (QM), as well as to provide insight on teaching, we asked which concepts and structures can act as organizing principles in basic QM (RQ1). The research question has been ... More

On P-transitive graphs and applicationsJun 07 2011We introduce a new class of graphs which we call P-transitive graphs, lying between transitive and 3-transitive graphs. First we show that the analogue of de Jongh-Sambin Theorem is false for wellfounded P-transitive graphs; then we show that the mu-calculus ... More

Analyzing the structure of basic quantum knowledge for instructionAug 12 2019Aug 27 2019In order to support students in the development of expertise in quantum mechanics (QM), as well as to provide insight on teaching, we asked which concepts and structures can act as organizing principles in basic QM (RQ1). The research question has been ... More

A Linear Complementarity Theorem to solve any Satisfiability Problem in conjunctive normal form in polynomial timeJan 12 2018Any satisfiability problem in conjunctive normal form can be solved in polynomial time by reducing it to a 3-sat formulation and transforming this to a Linear Complementarity problem (LCP) which is then solved as a linear program (LP). Any instance in ... More

Credible Information, Allowable Information and Belief Revision -- Extended AbstractJul 22 2019In an earlier paper [Rational choice and AGM belief revision, Artificial Intelligence, 2009] a correspondence was established between the choice structures of revealed-preference theory (developed in economics) and the syntactic belief revision functions ... 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

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.

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

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

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

Integrating Neural Networks with a Quantum Simulator for State ReconstructionApr 17 2019We demonstrate quantum many-body state reconstruction from experimental data generated by a programmable quantum simulator, by means of a neural network model incorporating known experimental errors. Specifically, we extract restricted Boltzmann machine ... 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

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

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

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

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

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.

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

Dimensional Reductions for the Computation of Time-Dependent Quantum ExpectationsMar 17 2010We consider dimensional reduction techniques for the Liouville-von Neumann equation for the evaluation of the expectation values in a mixed quantum system. In applications such as nuclear spin dynamics the main goal for simulations is being able to simulate ... 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

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

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

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

Statistical mechanics of time seriesJul 01 2019Countless natural and social multivariate systems are studied through sets of simultaneous and time-spaced measurements of the observables that drive their dynamics, i.e., through sets of time series. Typically, this is done via hypothesis testing: the ... More

Improved partial regularity for manifold-constrained minimisers of subquadratic energiesOct 29 2018We consider minimising $p$-harmonic maps from three-dimensional domains to the real projective plane, for $1<p<2$. These maps arise as least-energy configurations in variational models for nematic liquid crystals. We show that the singular set of such ... 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

Topological singular set of vector-valued maps, I: Applications to manifold-constrained Sobolev and BV spacesDec 29 2017Dec 17 2018We introduce an operator $\mathbf{S}$ on vector-valued maps $u$ which has the ability to capture the relevant topological information carried by $u$. In particular, this operator is defined on maps that take values in a closed submanifold $N$ of the Euclidean ... More

New lower bounds to the output entropy of multi-mode quantum Gaussian channelsMay 31 2018Jul 30 2019We prove that quantum thermal Gaussian input states minimize the output entropy of the multi-mode quantum Gaussian attenuators and amplifiers that are entanglement breaking and of the multi-mode quantum Gaussian phase contravariant channels among all ... 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

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