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Polarization-driven spin precession of mesospheric sodium atomsSep 11 2018We report experimental results on the first on-sky observation of atomic spin precession of mesospheric sodium driven by polarization modulation of a continuous-wave laser. The magnetic resonance was remotely detected from the ground by observing the ... More

Remote sensing of geomagnetic fields and atomic collisions in the mesosphereFeb 09 2018Magnetic-field sensing has contributed to the formulation of the plate-tectonics theory, the discovery and mapping of underground structures on Earth, and the study of magnetism in other planets. Filling the gap between space-based and near-Earth observation, ... More

Magnetometry with Mesospheric SodiumDec 22 2009Measurement of magnetic fields on the few-hundred-kilometer length scale is significant for a variety of geophysical applications including mapping of crustal magnetism and ocean-circulation measurements, yet available techniques for such measurements ... More

Optimization of cw sodium laser guide star efficiencyAug 11 2009Oct 01 2009Context: Sodium laser guide stars (LGS) are about to enter a new range of laser powers. Previous theoretical and numerical methods are inadequate for accurate computations of the return flux and hence for the design of the next-generation LGS systems. ... More

Understanding the Bias Dependence of Low Frequency Noise in Sin-gle Layer Graphene FETsJun 18 2018Oct 19 2018This letter investigates the bias-dependent low frequency noise of single layer graphene field-effect transistors. Noise measurements have been conducted with electrolyte-gated graphene transistors covering a wide range of gate and drain bias conditions ... More

Tree Amplitudes and Linearized SUSY Invariants in D=11 SupergravityJan 07 2000We exploit the tree level bosonic 4-particle scattering amplitudes in D=11 supergravity to construct the bosonic part of a linearized supersymmetry-, coordinate- and gauge-invariant. By differentiation, this invariant can be promoted to be the natural ... More

Algebraic and geometric structures of Special RelativityFeb 08 2006Mar 24 2006I review, some of the algebraic and geometric structures that underlie the theory of Special Relativity. This includes a discussion of relativity as a symmetry principle, derivations of the Lorentz group, its composition law, its Lie algebra, comparison ... More

Einstein's "Prague field-equation" -- another perspectiveJun 25 2013I reconsider Einstein's 1912 "Prague-Theory" of static gravity based on a scalar field obeying a non-linear field equation. I point out that this equation follows from the self-consistent implementation of the principle that all energies source the gravitational ... More

Elementary classes of finite VC-dimensionDec 18 2014Aug 20 2015Let U be a monster model and let D be a subset of U. Let (U,D) denote theexpansion of U with a new predicate for D. Write e(D) for the collection of all subsets C of U such that (U,C) is elementary equivalent to (U,D). We prove that if e(D) has finite ... More

Chern and Fu-Kane-Mele invariants as topological obstructionsMay 18 2017The use of topological invariants to describe geometric phases of quantum matter has become an essential tool in modern solid state physics. The first instance of this paradigmatic trend can be traced to the study of the quantum Hall effect, in which ... More

Energy-Momentum Tensors and Motion in Special RelativityFeb 13 2015The notions of "motion" and "conserved quantities", if applied to extended objects, are already quite non-trivial in Special Relativity. This contribution is meant to remind us on all the relevant mathematical structures and constructions that underlie ... More

Mapping-class groups of 3-manifolds in canonical quantum gravityJun 29 2006Mapping-class groups of 3-manifolds feature as symmetry groups in canonical quantum gravity. They are an obvious source through which topological information could be transmitted into the quantum theory. If treated as gauge symmetries, their inequivalent ... More

Strangeness production in p-Pb and Pb-Pb collisions with ALICE at LHCSep 22 2016The main goal of the ALICE experiment is to study the properties of the hot and dense medium created in ultra-relativistic heavy-ion collisions. The measurement of the (multi-)strange particles is an important tool to understand particle production mechanisms ... More

Feynman diagrams and the KdV hierarchyNov 08 2001Sep 24 2012The generating series of the intersection numbers of the stable cohomology classes on moduli spaces of curves satisfies the string equation and a KdV hierarchy. Kontsevich's original proof of this result uses a matrix model and the matrix Airy equation. ... More

On Max Born's "Vorlesungen ueber Atommechanik, Erster Band"Sep 27 2011May 29 2013A little more than half a year before Matrix Mechanics was born, Max Born finished his book "Vorlesungen ueber Atommechanik, Erster Band", which is a state-of-the-art presentation of Bohr-Sommerfeld quantisation. This book, which today seems almost forgotten, ... More

Universal structure of the Drell-Yan process beyond thresholdDec 16 2015We review recent results in the investigation of threshold logarithms at next-to-leading power considering the case of the Drell-Yan cross section at NNLO. We first show how they can be reproduced with a method of region calculation. Then we move to an ... More

A Study of a Nonlinear Schrödinger Equation for Optical FibersDec 01 2016Non linear fiber optics concerns with the non linear optical phenomena occurring inside optical fibers. The propagation of light in single-mode fibers is governed by the one-dimensional nonlinear Schr\"odinger equation (NLS) in the presence of attenuation, ... More

Krull dimension of types in a class of first-order theoriesDec 18 2008May 31 2009We study a class of first-order theories whose complete quantifier-free types with one free variable either have a trivial positive part or are isolated by a positive quantifier-free formula--plus a few other technical requirements. The theory of vector ... More

An introduction to the Batalin-Vilkovisky formalismFeb 04 2004Jun 25 2004The aim of these notes is to introduce the quantum master equation $\{S,S\}-2i\hbar\Delta S=0$, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaussian integrals. The relations of the classical ... More

Does cosmological expansion affect local physics?Jun 03 2013Oct 03 2013In this contribution I wish to address the question whether, and how, the global cosmological expansion influences local physics. I argue that a pseudo Newtonian picture can be quite accurate if "expansion" is taken to be an attribute of the inertial ... More

Gravitation, Equivalence Principle, and Quantum MechanicsSep 01 2013Gravitation, according to General Relativity, is an attribute of space-time's geometry and hence not a force in the Newtonian sense. This is a consequence of Einstein's equivalence principle, which so far passed all experimental tests with high precision. ... More

On the diamenter of Lascar strong types (after Ludomir Newelski)May 01 2016This is an exposition a theorem of mathematical logic which only assumes the notions of structure, elementary equivalence, and compactness (saturation). Newelski proved that type-definable Lascar strong types have finite diameter. Our exposition is based ... More

The Rich Structure of Minkowski SpaceFeb 29 2008Minkowski Space is the simplest four-dimensional Lorentzian Manifold, being topologically trivial and globally flat, and hence the simplest model of spacetime--from a General-Relativistic point of view. But this does not mean that it is altogether structurally ... More

High-resolution asymptotics for the angular bispectrum of spherical random fieldsFeb 21 2005May 11 2006In this paper we study the asymptotic behavior of the angular bispectrum of spherical random fields. Here, the asymptotic theory is developed in the framework of fixed-radius fields, which are observed with increasing resolution as the sample size grows. ... More

Sums over Graphs and Integration over Discrete GroupoidsNov 25 2002Jan 12 2005We show that sums over graphs such as appear in the theory of Feynman diagrams can be seen as integrals over discrete groupoids. From this point of view, basic combinatorial formulas of the theory of Feynman diagrams can be interpreted as pull-back or ... More

Laue's Theorem Revisited: Energy-Momentum Tensors, Symmetries, and the Habitat of Globally Conserved QuantitiesAug 28 2018The energy-momentum tensor for a particular matter component summarises its local energy-momentum distribution in terms of densities and current densities. We re-investigate under what conditions these local distributions can be integrated to meaningful ... More

Starfinder: a code for crowded stellar fields analysisNov 18 1999Starfinder is an IDL code for the deep analysis of stellar fields, designed for well-sampled images with high and low Strehl factor. An important feature is represented by the possibility to measure the anisoplanatic effect in wide-field Adaptive Optics ... More

Construction of real-valued localized composite Wannier functions for insulatorsAug 03 2014Oct 29 2015We consider a real periodic Schr\"odinger operator and a physically relevant family of $m \geq 1$ Bloch bands, separated by a gap from the rest of the spectrum, and we investigate the localization properties of the corresponding composite Wannier functions. ... More

Classical Analysis of the van Dam - Veltman DiscontinuityJul 16 2001We consider the classical theory of a gravitational field with spin 2 and non-vanishing (Pauli-Fierz) mass in flat spacetime, coupled to electromagnetism and point particles. We establish the law of light propagation and calculate the amount of deflection ... More

On Tuning the Bad-Character Rule: the Worst-Character RuleDec 06 2010In this note we present the worst-character rule, an efficient variation of the bad-character heuristic for the exact string matching problem, firstly introduced in the well-known Boyer-Moore algorithm. Our proposed rule selects a position relative to ... More

ADM approach to 2+1 dimensional gravityDec 28 1999The canonical ADM equations are solved in terms of the conformal factor in the instantaneous York gauge. A simple derivation is given for the solution of the two body problem. A geometrical characterization is given for the apparent singularities occurring ... More

ADM approach to 2+1 dimensional gravity coupled to particlesJul 14 1999We develop the canonical ADM approach to 2+1 dimensional gravity in presence of point particles. The instantaneous York gauge can be applied for open universes or universes with the topology of the sphere. The sequence of canonical ADM equations is solved ... More

Analytic solutions for Baxter's model of sticky hard sphere fluids within closures different from the Percus_Yevick approximationDec 15 2003We discuss structural and thermodynamical properties of Baxter's adhesive hard sphere model within a class of closures which includes the Percus-Yevick (PY) one. The common feature of all these closures is to have a direct correlation function vanishing ... More

On the compressibility equation of state for multicomponent adhesive hard sphere fluidsMay 08 2002The compressibility equation of state for a multicomponent fluid of particles interacting via an infinitely narrow and deep potential, is considered within the mean spherical approximation (MSA). It is shown that for a class of models leading to a particular ... More

Polydisperse fluid mixtures of adhesive colloidal particlesOct 15 2001We investigate polydispersity effects on the average structure factor of colloidal suspensions of neutral particles with surface adhesion. A sticky hard sphere model alternative to Baxter's one is considered. The choice of factorizable stickiness parameters ... More

A Gaussian Model for Simulated Geomagnetic Field ReversalsJan 28 2015Field reversals are the most spectacular changes in the geomagnetic field but remain little understood. Paleomagnetic data primarily constrain the reversal rate and provide few additional clues. Reversals and excursions are characterized by a low in dipole ... More

Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductorsMar 19 2019We discuss how to extend the impurity entropy to systems with boundary interactions depending on zero-mode real fermion operators (Majorana modes as well as Klein factors). As specific applications of our method, we consider a junction between N interacting ... More

Formative processes with applications to the decision problem in set theory: II. powerset and singleton operators, finiteness predicateNov 10 2004Jun 27 2013In this paper we solve the satisfiability problem of an extended fragment of set computable theory which "forces the infinity" by a fruitful use of the witness small model property and the theory of formative processes.

High-frequency asymptotics for subordinated isotropic fields on an Abelian compact groupJul 03 2006Let T* be a random field indexed by an Abelian compact group G, and suppose that T* has the form T* = F(T(g)), where T is Gaussian and isotropic. The aim of this paper is to establish high-frequency central limit theorems for the Fourier coefficients ... More

A link between measured neutron star masses and lattice QCD dataDec 24 2012Aug 29 2013We study the hadron-quark phase transition in neutron star matter and the structural properties of hybrid stars using an equation of state (EOS) for the quark phase derived with the field correlator method (FCM). We make use of the measured neutron star ... More

Generic expansions of countable modelsOct 31 2010Jan 20 2012We compare two different notions of generic expansions of countable saturated structures. One kind of genericity is related to model-companions and to amalgamation constructions \'a la Hrushovski-Fra\"iss\'e. Another notion of generic expansion is defined ... More

On the correlation between nodal and boundary lengths for random spherical harmonicsFeb 15 2019We study the correlation between the nodal length of random spherical harmonics and the measure of the boundary for excursion sets at any non-zero level. We show that the correlation is asymptotically zero, while the partial correlation after controlling ... More

On Nonlinear Functionals of Random Spherical EigenfunctionsSep 09 2012We prove Central Limit Theorems and Stein-like bounds for the asymptotic behaviour of nonlinear functionals of spherical Gaussian eigenfunctions. Our investigation combine asymptotic analysis of higher order moments for Legendre polynomials and, in addition, ... More

t-structures are normal torsion theoriesAug 29 2014Apr 03 2015We characterize $t$-structures in stable $\infty$-categories as suitable quasicategorical factorization systems. More precisely we show that a $t$-structure $\mathfrak{t}$ on a stable $\infty$-category $\mathbf{C}$ is equivalent to a normal torsion theory ... More

The needlets bispectrumFeb 27 2008May 21 2008The purpose of this paper is to join two different threads of the recent literature on random fields on the sphere, namely the statistical analysis of higher order angular power spectra on one hand, and the construction of second-generation wavelets on ... More

Effective density of states for a quantum oscillator coupled to a photon fieldFeb 22 2010We give an explicit formula for the effective partition function of a harmonically bound particle minimally coupled to a photon field in the dipole approximation. The effective partition function is shown to be the Laplace transform of a positive Borel ... More

Adiabatic currents for interacting electrons on a latticeJul 06 2017Sep 30 2018We prove an adiabatic theorem for general densities of observables that are sums of local terms in finite systems of interacting fermions, without periodicity assumptions on the Hamiltonian and with error estimates that are uniform in the size of the ... More

Bounded variation and relaxed curvature of surfacesJul 25 2018We consider a relaxed notion of energy of non-parametric codimension one surfaces that takes account of area, mean curvature, and Gauss curvature. It is given by the best value obtained by approximation with inscribed polyhedral surfaces. The BV and measure ... More

Gravitationally induced inhibitions of dispersion according to the Schrödinger-Newton EquationMay 10 2011We re-consider the time dependent Schr\"odinger-Newton equation as a model for the self-gravitational interaction of a quantum system. We numerically locate the onset of gravitationally induced inhibitions of dispersion of Gaussian wave packets and find ... More

Diffeomorphism invariant subspaces in Witten's 2+1 quantum gravity on ${\bf R} \times T^2$Apr 21 1995We address the role of large diffeomorphisms in Witten's 2+1 gravity on the manifold ${\bf R} \times T^2$. In a ``spacelike sector" quantum theory that treats the large diffeomorphisms as a symmetry, rather than as gauge, the Hilbert space is shown to ... More

No-Boundary Theta-Sectors in Spatially Flat Quantum CosmologyMar 03 1992Gravitational theta-sectors are investigated in spatially locally homogeneous cosmological models with flat closed spatial surfaces in 2+1 and 3+1 spacetime dimensions. The metric ansatz is kept in its most general form compatible with Hamiltonian minisuperspace ... More

Corvino's construction using Brill wavesAug 17 2005For two-black-hole time-symmetric initial data we consider the Corvino construction of gluing an exact Schwarzschild end. We propose to do this by using Brill waves. We address the question of whether this method can be used to reduce the overall energy, ... More

Fermi-Walker gauge in 2+1 dimensional gravity.Jan 13 1995It is shown that the Fermi-Walker gauge allows the general solution of determining the metric given the sources, in terms of simple quadratures. We treat the general stationary problem providing explicit solving formulas for the metric and explicit support ... More

".. I didn't reflect much on what I was doing.." How Planck discovered his radiation formulaOct 02 2000On December 14. 1900, Max Planck communicated his derivation of his radiation formula, which he later called ``an act of desperation''. This date is widely recognized as birthday of quantum theory. For Planck it meant the end of his carefully planned ... More

The mystery of cosmological vacuum energy density and the accelerated expansion of the universeSep 22 2000The principles of General Relativity allow for a non-vanishing cosmological constant, which can possibly be interpreted at least partially in terms of quantum-fluctuations of matter fields. Depending on sign and magnitude it can cause accelerated or decelerated ... More

Effect of Polydispersity and Anisotropy in Colloidal and Protein Solutions: an Integral Equation ApproachMay 24 2011Application of integral equation theory to complex fluids is reviewed, with particular emphasis to the effects of polydispersity and anisotropy on their structural and thermodynamic properties. Both analytical and numerical solutions of integral equations ... More

The Gauge-Bethe Correspondence and Geometric Representation TheoryNov 29 2010The Gauge/Bethe correspondence of Nekrasov and Shatashvili relates the spectrum of integrable spin chains to the ground states of supersymmetric gauge theories. Up to now, this correspondence has been an observation; the underlying reason for its existence ... More

Einstein's impact on the physics of the twentieth centuryJul 14 2005Dec 20 2005Starting with Einstein's famous papers of 1905, we review some of the ensuing developments and their impact on present-day physics. We attempt to cover topics that are of interest to historians and philosophers of science as well as to physicists. This ... More

Gauge-theoretic invariants for topological insulators: A bridge between Berry, Wess-Zumino, and Fu-Kane-MeleNov 17 2016We establish a connection between two recently-proposed approaches to the understanding of the geometric origin of the Fu-Kane-Mele invariant $\mathrm{FKM} \in \mathbb{Z}_2$, arising in the context of 2-dimensional time-reversal symmetric topological ... More

Screening Clouds and Majorana FermionsMar 31 2014Jun 24 2014Ken Wilson developed the Numerical Renormalization Group technique which greatly enhanced our understanding of the Kondo effect and other quantum impurity problems. Wilson's NRG also inspired Philippe Nozieres to propose the idea of a large "Kondo screening ... More

Boundary Field Theory Approach to the Renormalization of SQUID DevicesAug 27 2006Dec 14 2006We show that the quantum properties of some Josephson SQUID devices are described by a boundary sine Gordon model. Our approach naturally describes multi-junction SQUID devices and, when applied to a single junction SQUID (the rf-SQUID), it reproduces ... More

Neutron star properties from optimized chiral nuclear interactionsJun 26 2018We adopt two- and three-body nuclear forces derived at the next-to-next-to-leading-order (N2LO) in the framework of effective chiral perturbation theory (ChPT) to calculate the equation of state (EOS) of $\beta$-stable neutron star matter using the Brueckner--Hartree--Fock ... More

Spin fractionalization of an even number of electrons in a Quantum dotOct 26 1999An experiment is proposed of non perturbative tunneling in a Quantum dot connected to leads in a pillar configuration, which would shed light on the physics of the mesoscopic Kondo problem. We propose for the first time that what is coupled to the leads ... More

Boundary Conditions for Topological Quantum Field Theories, Anomalies and Projective Modular FunctorsSep 12 2014Jan 22 2015We study boundary conditions for extended topological quantum field theories (TQFTs) and their relation to topological anomalies. We introduce the notion of TQFTs with moduli level $m$, and describe extended anomalous theories as natural transformations ... More

Formality of Koszul brackets and deformations of holomorphic Poisson manifoldsSep 20 2011May 14 2012We show that if a generator of a differential Gerstenhaber algebra satisfies certain Cartan-type identities, then the corresponding Lie bracket is formal. Geometric examples include the shifted de Rham complex of a Poisson manifold and the subcomplex ... More

L-infinity structures on mapping conesJan 13 2006Apr 03 2007We show that the mapping cone of a morphism of differential graded Lie algebras $\chi\colon L\to M$ can be canonically endowed with an $L_\infty$-algebra structure which at the same time lifts the Lie algebra structure on $L$ and the usual differential ... More

Representations of SO(3) and angular polyspectraJul 04 2008We characterize the angular polyspectra, of arbitrary order, associated with isotropic fields defined on the sphere S^2. Our techniques rely heavily on group representation theory, and specifically on the properties of Wigner matrices and Clebsch-Gordan ... More

Asymptotic Expansion for the Wave Function in a one-dimensional Model of Inelastic InteractionMar 22 2010We consider a two-body quantum system in dimension one composed by a test particle interacting with an harmonic oscillator placed at the position $a>0$. At time zero the test particle is concentrated around the position $R_0$ with average velocity $\pm ... More

The empirical process on Gaussian spherical harmonicsJun 25 2004We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian random field in the presence of an unknown angular power spectrum. This result suggests various Gaussianity tests with an asymptotic justification. The issue ... More

On The Dependence Structure of Wavelet Coefficients for Spherical Random FieldsMay 27 2008Apr 24 2009We consider the correlation structure of the random coefficients for a wide class of wavelet systems on the sphere (Mexican needlets) which were recently introduced in the literature by Geller and Mayeli (2007). We provide necessary and sufficient conditions ... More

Gauge-theoretic invariants for topological insulators: A bridge between Berry, Wess-Zumino, and Fu-Kane-MeleNov 17 2016Feb 16 2017We establish a connection between two recently-proposed approaches to the understanding of the geometric origin of the Fu-Kane-Mele invariant $\mathrm{FKM} \in \mathbb{Z}_2$, arising in the context of 2-dimensional time-reversal symmetric topological ... More

Topological invariants of eigenvalue intersections and decrease of Wannier functions in grapheneJun 17 2013Jan 16 2014We investigate the asymptotic decrease of the Wannier functions for the valence and conduction band of graphene, both in the monolayer and the multilayer case. Since the decrease of the Wannier functions is characterised by the structure of the Bloch ... More

Matrix Integrals and Feynman Diagrams in the Kontsevich ModelNov 07 2001Dec 23 2003We review some relations occurring between the combinatorial intersection theory on the moduli spaces of stable curves and the asymptotic behavior of the 't Hooft-Kontsevich matrix integrals. In particular, we give an alternative proof of the Witten-Di ... More

Strong Amplitude and Phase Modulation of Optical Spatial Coherence with Surface Plasmon PolaritonsDec 29 2016The degree of optical spatial coherence -a fundamental property of light that describes the mutual correlations between fluctuating electromagnetic fields- has proven challenging to control at the micrometer scale. Here we employ surface plasmon polaritons ... More

Gravitationally induced inhibitions of dispersion according to a modified Schrödinger-Newton equation for a homogeneous-sphere potentialDec 20 2012Mar 27 2013We modify the time dependent Schr\"odinger-Newton equation by using a potential for a solid sphere suggested by J\"a\"askel\"ainen (J\"a\"askel\"ainen 2012 Phys. Rev. A 86 052105) as well as a hollow-sphere potential. Compared to our recent paper (Giulini ... More

Search for CPT and Lorentz-Symmetry Violation in Entangled Neutral KaonsJul 31 2016The neutral-kaon system constitutes a fantastic and unique laboratory for the study of CPT symmetry and the basic principles of quantum mechanics, and a $\phi$-factory represents a unique opportunity to push forward these studies. The experimental results ... More

Proceedings of the Seventh International Symposium on Games, Automata, Logics and Formal VerificationSep 13 2016This volume contains the proceedings of the Seventh International Symposium on Games, Automata, Logic and Formal Verification (GandALF 2016). The symposium took place in Catania, Italy, from the 14th to the 16th of September 2016. The proceedings of the ... More

Josephson current through a long quantum wireSep 03 2012Jan 16 2013The dc Josephson current through a long SNS junction receives contributions from both Andreev bound states localized in the normal region as well as from scattering states incoming from the superconducting leads. We show that in the limit of a long junction, ... More

Y-junction of superconducting Josephson chainsAug 20 2008Jan 21 2009We show that, for pertinent values of the fabrication and control parameters, an attractive finite coupling fixed point emerges in the phase diagram of a Y-junction of superconducting Josephson chains. The new fixed point arises only when the dimensionless ... More

Fingerprinting Dark Energy III: distinctive marks of viscosityMar 09 2012The characterisation of dark energy is one of the primary goals in cosmology especially now that many new experiments are being planned with the aim of reaching a high sensitivity on cosmological parameters. It is known that if we move away from the simple ... More

A decidable quantified fragment of set theory with ordered pairs and some undecidable extensionsOct 09 2012In this paper we address the decision problem for a fragment of set theory with restricted quantification which extends the language studied in [4] with pair related quantifiers and constructs, in view of possible applications in the field of knowledge ... More

Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetryJan 12 2016We describe some applications of group- and bundle-theoretic methods in solid state physics, showing how symmetries lead to a proof of the localization of electrons in gapped crystalline solids, as e.g. insulators and semiconductors. We shortly review ... More

Steklov-type eigenvalues associated with best Sobolev trace constants: domain perturbation and overdetermined systemsJan 31 2011We consider a variant of the classic Steklov eigenvalue problem, which arises in the study of the best trace constant for functions in Sobolev space. We prove that the elementary symmetric functions of the eigenvalues depend real-analytically upon variation ... More

Formal Abel-Jacobi mapsOct 27 2016We realize the infinitesimal Abel-Jacobi map as a morphism of formal deformation theories, realized as a morphism in the homotopy category of differential graded Lie algebras. The whole construction is carried out in a general setting, of which the classical ... More

Twisted Masses and Enhanced Symmetries: the A&D SeriesNov 21 2011We study new symmetries between A and D type quiver gauge theories with different numbers of colors. We realize these gauge theories with twisted masses via a brane construction that reproduces all the parameters of the Gauge/Bethe correspondence.

Structure factors for the simplest solvable model of polydisperse colloidal fluids with surface adhesionNov 20 2000Closed analytical expressions for scattering intensity and other global structure factors are derived for a new solvable model of polydisperse sticky hard spheres. The starting point is the exact solution of the ``mean spherical approximation'' for hard ... More

A Uniqueness Theorem for Constraint QuantizationFeb 15 1999Jun 14 1999This work addresses certain ambiguities in the Dirac approach to constrained systems. Specifically, we investigate the space of so-called ``rigging maps'' associated with Refined Algebraic Quantization, a particular realization of the Dirac scheme. Our ... More

On the Generality of Refined Algebraic QuantizationDec 07 1998May 31 1999The Dirac quantization `procedure' for constrained systems is well known to have many subtleties and ambiguities. Within this ill-defined framework, we explore the generality of a particular interpretation of the Dirac procedure known as refined algebraic ... More

Formal Abel-Jacobi mapsOct 27 2016Nov 28 2016We realize the infinitesimal Abel-Jacobi map as a morphism of formal deformation theories, realized as a morphism in the homotopy category of differential graded Lie algebras. The whole construction is carried out in a general setting, of which the classical ... More

Cyclic Gerstenhaber-Schack cohomologyDec 26 2018We show that the diagonal complex computing the Gerstenhaber-Schack cohomology of a bialgebra (that is, the cohomology theory governing bialgebra deformations) can be given the structure of an operad with multiplication if the bialgebra is a (not necessarily ... More

Minimum-Variance Importance-Sampling Bernoulli Estimator for Fast Simulation of Linear Block Codes over Binary Symmetric ChannelsNov 06 2013In this paper the choice of the Bernoulli distribution as biased distribution for importance sampling (IS) Monte-Carlo (MC) simulation of linear block codes over binary symmetric channels (BSCs) is studied. Based on the analytical derivation of the optimal ... More

Group Representations and High-Resolution Central Limit Theorems for Subordinated Spherical Random FieldsJun 19 2007Jul 10 2007We study the weak convergence (in the high-frequency limit) of the frequency components associated with Gaussian-subordinated, spherical and isotropic random fields. In particular, we provide conditions for asymptotic Gaussianity and we establish a new ... More

The Stochastic Properties of $\ell^1$-Regularized Spherical Gaussian FieldsSep 13 2013Convex regularization techniques are now widespread tools for solving inverse problems in a variety of different frameworks. In some cases, the functions to be reconstructed are naturally viewed as realizations from random processes; an important question ... More

A period map for generalized deformationsAug 01 2008For every compact Kaehler manifold we give a canonical extension of Griffith's period map to generalized deformations, intended as solutions of Maurer-Cartan equation in the algebra of polyvector fields. Our construction involves the notion of Cartan ... More

A short note on infinity-groupoids and the period map for projective manifoldsNov 19 2009Sep 14 2012A common criticism of infinity-categories in algebraic geometry is that they are an extremely technical subject, so abstract to be useless in everyday mathematics. The aim of this note is to show in a classical example that quite the converse is true: ... More

Quark deconfinement transition in neutron stars with the field correlator methodAug 31 2013A phase of strong interacting matter with deconfined quarks is expected in the core of massive neutron stars. In this article, we perform a study of the hadron-quark phase transition in cold (T = 0) neutron star matter and we calculate various structural ... More

A viewpoint on amalgamation classesSep 09 2010We provide a self-contained introduction to the classical theory of universal-homogeneous models (also known as generic structures, rich models, or Fra\"iss\'e limits). In the literature, most treatments restrict consideration to embeddings among finite ... More

Mixed NeedletsJun 19 2010The construction of needlet-type wavelets on sections of the spin line bundles over the sphere has been recently addressed in Geller and Marinucci (2008), and Geller et al. (2008,2009). Here we focus on an alternative proposal for needlets on this spin ... More

A Reduction Principle for the Critical Values of Random Spherical HarmonicsJun 01 2018We study here the random fluctuations in the number of critical points with values in an interval $I\subset \mathbb{R}$ for Gaussian spherical eigenfunctions $\left\{f_{\ell }\right\} $, in the high energy regime where $\ell \rightarrow \infty $. We show ... More

A Note on Global Suprema of Band-Limited Spherical Random FunctionsApr 11 2014In this note, we investigate the behaviour of suprema for band-limited spherical random fields. We prove upper and lower bound for the expected values of these suprema, by means of metric entropy arguments and discrete approximations; we then exploit ... More