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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

Raman-scattered laser guide star photons to monitor the scatter of astronomical telescope mirrorsOct 02 2018The first observations of laser guide star photons Raman-scattered by air molecules above the Very Large Telescope (VLT) were reported in June 2017. The initial detection came from the Multi-Unit Spectroscopic Explorer (MUSE) optical integral field spectrograph, ... 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

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

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

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

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

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

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

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

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

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

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

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

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

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

Dynamical and Hamiltonian formulation of General RelativityMay 06 2015This is a substantially expanded version of a chapter-contribution to "The Springer Handbook of Spacetime", edited by Abhay Ashtekar and Vesselin Petkov, published by Springer Verlag in 2014. This contribution introduces the reader to the reformulation ... More

Instants in physics - point mechanics and general relativityJun 03 2013Theories in physics usually do not address ``the present''or ``the now''. However, they usually have a precise notion of an ``instant'' (or state). I review how this notion appears in relational point mechanics and how it suffices to determine durations ... More

Analysis of isoplanatic high resolution stellar fields by Starfinder codeSep 12 2000We describe a new code for the deep analysis of stellar fields, designed for Adaptive Optics Nyquist-sampled images with high and low Strehl ratio. The Point Spread Function is extracted directly from the image frame, to take into account the actual structure ... 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

$\mathbb{Z}_2$ invariants of topological insulators as geometric obstructionsAug 05 2014Jan 12 2016We consider a gapped periodic quantum system with time-reversal symmetry of fermionic (or odd) type, i.e. the time-reversal operator squares to -1. We investigate the existence of periodic and time-reversal invariant Bloch frames in dimensions 2 and 3. ... 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

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

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

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

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

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

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

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

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

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

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

Encoding Sets as Real Numbers (Extended version)Jun 25 2018We study a variant of the Ackermann encoding $\mathbb{N}(x) := \sum_{y\in x}2^{\mathbb{N}(y)}$ of the hereditarily finite sets by the natural numbers, applicable to the larger collection $\mathsf{HF}^{1/2}$ of the hereditarily finite hypersets. The proposed ... 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

The Schrödinger-Newton equation as non-relativistic limit of self-gravitating Klein-Gordon and Dirac fieldsJun 19 2012In this paper we show that the Schr\"odinger-Newton equation for spherically symmetric gravitational fields can be derived in a WKB-like expansion in 1/c from the Einstein-Klein-Gordon and Einstein-Dirac system.

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

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

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

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

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

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

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.

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

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

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

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

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

Remarks on the Hamiltonian for the Fermionic Unitary Gas modelDec 01 2010Feb 12 2011We consider a quantum system in dimension three composed by a group of $N$ identical fermions, with mass 1/2, interacting via zero-range interaction with a group of $M$ identical fermions of a different type, with mass $m/2$. Exploiting a renormalization ... More

Feynman Diagrams via Graphical CalculusMay 31 2001Aug 02 2001This paper is an introduction to the language of Feynman Diagrams. We use Reshetikhin-Turaev graphical calculus to define Feynman diagrams and prove that asymptotic expansions of Gaussian integrals can be written as a sum over a suitable family of graphs. ... More

The $L^p$ boundedness of wave operators for Schrödinger operators with threshold singularities II. Even dimensional caseMay 10 2006In this paper we consider the wave operators $W_{\pm}$ for a Schr\"odinger operator $H$ in ${\bf{R}}^n$ with $n\geq 4$ even and we discuss the $L^p$ boundedness of $W_{\pm}$ assuming a suitable decay at infinity of the potential $V$. The analysis heavily ... More

HERMES: Simulating the Propagation of Ultra-High Energy Cosmic RaysMay 19 2013The study of ultra-high energy cosmic rays (UHECR) at Earth cannot prescind from the study of their propagation in the Universe. In this paper, we present HERMES, the \emph{ad hoc} Monte Carlo code we have developed for the realistic simulation of UHECR ... More

Classical Solutions of the TEK Model and Noncommutative Instantons in Two DimensionsNov 05 2003Nov 19 2003The twisted Eguchi-Kawai (TEK) model provides a non-perturbative definition of noncommutative Yang-Mills theory: the continuum limit is approached at large $N$ by performing suitable double scaling limits, in which non-planar contributions are no longer ... More

String-Inspired Gravity with Interacting Point ParticlesJul 24 1995We reformulate two dimensional string-inspired gravity with point particles as a gauge theory of the extended Poincar\'e group. A non-minimal gauge coupling is necessary for the equivalence of the two descriptions. The classical one-particle problem is ... More

Constraining the growth factor with baryon oscillationsSep 18 2007The growth factor of linear fluctuations is probably one of the least known quantity in observational cosmology. Here we discuss the constraints that baryon oscillations in galaxy power spectra from future surveys can put on a conveniently parametrized ... More

Deformed supersymmetric gauge theories from the fluxtrap backgroundSep 27 2013The fluxtrap background of string theory provides a transparent and algorithmic way of constructing supersymmetric gauge theories with both mass and Omega-type deformations in various dimensions. In this article, we review a number of deformed supersymmetric ... More

Relating Gauge Theories via Gauge/Bethe CorrespondenceMay 24 2010Nov 21 2010In this note, we use techniques from integrable systems to study relations between gauge theories. The Gauge/Bethe correspondence, introduced by Nekrasov and Shatashvili, identifies the supersymmetric ground states of an N=(2,2) supersymmetric gauge theory ... More

On the Perturbative Expansion around a Lifshitz PointAug 30 2009The quantum Lifshitz model provides an effective description of a quantum critical point. It has been shown that even though non--Lorentz invariant, the action admits a natural supersymmetrization. In this note we introduce a perturbative framework and ... More

An exact static two-mass solution using Nariai spacetimeAug 12 2014We show the existence of static, spherically symmetric spacetimes containing two stars of incompressible matter, possibly oppositely charged. The stars are held apart by the negative pressure of a positive cosmological constant but there is no cosmological ... More

Fingerprinting dark energyAug 31 2009Oct 12 2009Dark energy perturbations are normally either neglected or else included in a purely numerical way, obscuring their dependence on underlying parameters like the equation of state or the sound speed. However, while many different explanations for the dark ... More

Dark Energy versus Modified GravityDec 17 2006There is now strong observational evidence that the expansion of the universe is accelerating. The standard explanation invokes an unknown "dark energy" component. But such scenarios are faced with serious theoretical problems, which has led to increased ... More

Crossing the Phantom DivideSep 04 2006Jan 27 2007We consider fluid perturbations close to the "phantom divide" characterised by p = -rho and discuss the conditions under which divergencies in the perturbations can be avoided. We find that the behaviour of the perturbations depends crucially on the prescription ... More

Mean-Square Continuity on Homogeneous Spaces of Compact GroupsOct 29 2012Jan 25 2013We show that any finite-variance, isotropic random field on a compact group is necessarily mean-square continuous, under standard measurability assumptions. The result extends to isotropic random fields defined on homogeneous spaces where the group acts ... More

Statistical challenges in the analysis of Cosmic Microwave Background radiationJul 11 2008May 15 2009An enormous amount of observations on Cosmic Microwave Background radiation has been collected in the last decade, and much more data are expected in the near future from planned or operating satellite missions. These datasets are a goldmine of information ... More

Spin Wavelets on the SphereNov 18 2008Dec 15 2008In recent years, a rapidly growing literature has focussed on the construction of wavelet systems to analyze functions defined on the sphere. Our purpose in this paper is to generalize these constructions to situations where sections of line bundles, ... More

Realization of a two-channel Kondo model with Josephson junction networksAug 29 2013We show that- in the quantum regime- a Josephson junction rhombi chain (i.e. a Josephson junction chain made by rhombi formed by joining 4 Josephson junctions) may be effectively mapped onto a quantum Hamiltonian describing Ising spins in a transverse ... More

Topological Superconductor-Luttinger Liquid JunctionsMay 08 2013May 26 2013Experimental evidence was recently obtained for topological superconductivity in spin-orbit coupled nano wires in a magnetic field, proximate to an s-wave superconductor. When only part of the wire contacts the superconductor, a localized Majorana mode ... More

Effective Boundary Field Theory for a Josephson Junction Chain with a Weak LinkJan 17 2005We show that a finite Josephson Junction (JJ) chain, ending with two bulk superconductors, and with a weak link at its center, may be regarded as a condensed matter realization of a two-boundary Sine-Gordon model. Computing the partition function yields ... More

Hamiltonian theory of the strongly-coupled limit of the Kondo problem in the overscreened caseJul 23 2004By properly generalizing Nozie`res' Fermi liquid theory, we construct an Hamiltonian approach to the scattering of conduction electrons off a spin-1/2 impurity in the ovescreneed Kondo regime, as T -> 0. We derive the S-matrix at the interacting fixed ... More

High-frequency asymptotics for Lipschitz-Killing curvatures of excursion sets on the sphereMar 11 2013Jan 12 2016In this paper, we shall be concerned with geometric functionals and excursion probabilities for some nonlinear transforms evaluated on Fourier components of spherical random fields. In particular, we consider both random spherical harmonics and their ... More

The defect variance of random spherical harmonicsMar 01 2011The defect of a function $f:M\rightarrow \mathbb{R}$ is defined as the difference between the measure of the positive and negative regions. In this paper, we begin the analysis of the distribution of defect of random Gaussian spherical harmonics. By an ... More

On the Excursion Sets of Spherical Gaussian EigenfunctionsSep 22 2010The high frequency behaviour for random eigenfunctions of the spherical Laplacian has been recently the object of considerable interest, also because of strong motivations arising from Physics and Cosmology. In this paper, we are concerned with the high ... More

Associative algebras, punctured disks and the quantization of Poisson manifoldsSep 19 2003Apr 05 2004The aim of the note is to provide an introduction to the algebraic, geometric and quantum field theoretic ideas that lie behind the Kontsevich-Cattaneo-Felder formula for the quantization of Poisson structures. We show how the quantization formula itself ... More

Expansion of the resolvent in a Feshbach modelFeb 10 2019Feb 12 2019In this paper we extend the results proved in (Carlone, R., Correggi, M., Finco, D., Teta, A.: A model for Feshbach Resonances arXiv:1901.08282 [math-ph]) about Feshbach resonances in a multichannel Hamiltonian $\mathcal{H}$, proving a low energy expansion ... More

Correspondence between the NLS equation for optical fibers and a class of integrable NLS equationsFeb 05 2014The propagation of the optical field complex envelope in a single-mode fiber is governed by a one-dimensional cubic nonlinear Schr\"odinger equation with a loss term. We present a result about $L^2$-closeness of the solutions of the above-mentioned equation ... More

An Experiment on the Connection between the DLs' Family DL<ForAllPiZero> and the Real WorldNov 21 2012Nov 23 2012This paper describes the analysis of a selected testbed of Semantic Web ontologies, by a SPARQL query, which determines those ontologies that can be related to the description logic DL<ForAllPiZero>, introduced in [4] and studied in [9]. We will see that ... More

L-infinity algebras, Cartan homotopies and period mapsMay 11 2006We prove that, for every compact Kaehler manifold, the period map of its Kuranishi family is induced by a natural L-infinity morphism. This implies, by standard facts about L-infinity algebras, that the period map is a "morphism of deformation theories" ... More

On the Renormalizability of Horava-Lifshitz-type GravitiesMay 04 2009May 11 2009In this note, we discuss the renormalizability of Horava-Lifshitz-type gravity theories. Using the fact that Horava-Lifshitz gravity is very closely related to the stochastic quantization of topologically massive gravity, we show that the renormalizability ... More