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Optimized White Reflectance in Photonic Network StructuresMay 28 2019Three-dimensional disordered networks are receiving increasing attention as versatile architectures for highly scattering materials. However, due to their complex morphology, little is still known about the interplay between their structural and optical ... More

Spatio-temporal visualization of light transport in complex photonic structuresSep 18 2015Jun 16 2016Spatio-temporal imaging of light propagation is very important in photonics because it provides the most direct tool available to study the interaction between light and its host environment. Sub-ps time resolution is needed to investigate the fine and ... More

Diffusion of light in semitransparent mediaSep 14 2015Sep 21 2015Light diffusion is usually associated with thick, opaque media. Indeed, multiple scattering is necessary for the onset of the diffusive regime and such condition is generally not met in almost transparent media. Nonetheless, at long enough times, transport ... More

Deducing effective light transport parameters in optically thin systemsSep 14 2015Sep 21 2015We present an extensive Monte Carlo study on light transport in optically thin slabs, addressing both axial and transverse propagation. We completely characterize the so-called ballistic-to-diffusive transition, notably in terms of the spatial variance ... More

CELES: CUDA-accelerated simulation of electromagnetic scattering by large ensembles of spheresJun 06 2017CELES is a freely available MATLAB toolbox to simulate light scattering by many spherical particles. Aiming at high computational performance, CELES leverages block-diagonal preconditioning, a lookup-table approach to evaluate costly functions and massively ... More

Biomimetic Polymer Film with Brilliant Brightness Using a One-Step Water Vapor-Induced Phase Separation MethodJun 11 2019The scales of the white Cyphochilus beetles are endowed with unusual whiteness arising from the exceptional scattering efficiency of their disordered ultrastructure optimized through millions of years of evolution. Here, a simple, one-step method based ... More

Commentary to "LARES successfully launched in orbit: Satellite and mission description" by A. Paolozzi and I. CiufoliniNov 27 2013We comment on some statements in a recent paper by Paolozzi and Ciufolini concerning certain remarks raised by us on the realistic accuracy obtainable in testing the general relativistic Lense-Thirring effect in the gravitational field of the Earth with ... More

The lingering anomalous secular increase of the eccentricity of the orbit of the Moon: further attempts of explanation of cosmological originApr 26 2014A new analysis of extended data records collected with the Lunar Laser Ranging (LLR) technique performed with improved tidal models was not able to resolve the issue of the anomalous rate $\dot e$ of the eccentricity $e$ of the orbit of the Moon, which ... More

A flyby anomaly for Juno? Not from standard physicsNov 17 2013Jun 19 2014An empirical formula recently appeared in the literature to explain the observed anomalies of about $\Delta\dot\rho\approx 1-10$ mm s$^{-1}$ in the geocentric range-rates $\dot\rho$ of the Galileo, NEAR and Rosetta spacecraft at some of their past perigee ... More

Perspectives on effectively constraining the location of a massive trans-Plutonian object with the New Horizons spacecraft: a sensitivity analysisJan 16 2013Jan 29 2016The radio tracking apparatus of the New Horizons spacecraft, currently traveling to the Pluto system where its arrival is scheduled for July 2015, should be able to reach an accuracy of 10 m (range) and 0.1 mm s^-1 (range-rate) over distances up to 50 ... More

Testing a recently proposed scenario for a transplutonian planetoid with the EPM2013 planetary ephemeridesJul 19 2014Aug 19 2014By means of the orbital dynamics of the known Sun's outer planets, we use the just released EPM2013 planetary ephemerides to put on the test the recently proposed hypothesis that one (or more) still unseen super-Earth(s) may lurk at about $200-250$ astronomical ... More

A new general relativistic clock effect for counter-rotating test particles in the gravitoelectric field of a non-rotating bodyJul 17 2014It is known that, in the weak-field and slow-motion approximation of general relativity, the stationary component of the gravitational field of a rotating body, proportional to its angular momentum, is able to discriminate between the opposite directions ... More

Perturbation theory for string sigma modelsApr 06 2016Apr 07 2016In this thesis we investigate quantum aspects of the Green-Schwarz superstring in various AdS backgrounds relevant for the AdS/CFT correspondence, providing several examples of perturbative computations in the corresponding integrable sigma-models. We ... More

Orbital motions as gradiometers for post-Newtonian tidal effectsJun 10 2014Jul 31 2014The direct long-term changes occurring in the orbital dynamics of a local gravitationally bound binary system $S$ due to the post-Newtonian tidal acceleration caused by an external massive source are investigated. A class of systems made of a test particle ... More

Editorial for the Special Issue 100 Years of Chronogeometrodynamics: The Status of the Einstein's Theory of Gravitation in Its Centennial YearApr 21 2015Apr 23 2015The present Editorial introduces the Special Issue dedicated by the journal Universe to the General Theory of Relativity, the beautiful theory of gravitation of Einstein, a century after its birth. It reviews some of its key features in a historical perspective, ... More

The growing toolbox of perturbative QCDJan 09 2016Advances in perturbative QCD techniques have been crucial for the successful interpretation of the data collected in Run I of LHC, and for the discovery of the Higgs boson. I will very briefly highlight some recent additions to the QCD toolbox, and note ... More

Preliminary constraints on the location of Telisto/Planet Nine from planetary orbital dynamicsDec 16 2015Oct 19 2016(Abridged) The trajectory of Saturn is nowadays known at essentially the same accuracy level of the inner planets due to the telemetry of the Cassini spacecraft. Thus, the expected perturbations $\dot\varpi,~\dot\Omega$ due to PX, for which we suggest ... More

Büchi Automata can have Smaller QuotientsFeb 16 2011Apr 26 2011We study novel simulation-like preorders for quotienting nondeterministic B\"uchi automata. We define fixed-word delayed simulation, a new preorder coarser than delayed simulation. We argue that fixed-word simulation is the coarsest forward simulation-like ... More

The free wreath product of a discrete group by a quantum automorphism groupJul 13 2014Mar 10 2016Let $\mathbb{G}$ be the quantum automorphism group of a finite dimensional C*-algebra $(B,\psi)$ and $\Gamma$ a discrete group. We want to compute the fusion rules of $\widehat{\Gamma}\wr_* \mathbb{G}$. First of all, we will revise the representation ... More

Absorbing-state phase transition in biased activated random walkMar 08 2014May 31 2015We consider the activated random walk (ARW) model on $\mathbb{Z}^d$, which undergoes a transition from an absorbing regime to a regime of sustained activity. In any dimension we prove that the system is in the active regime when the particle density is ... More

On the interlace polynomialsJul 31 2010Sep 20 2012The generating function that records the sizes of directed circuit partitions of a connected 2-in, 2-out digraph D can be determined from the interlacement graph of D with respect to a directed Euler circuit; the same is true of the generating functions ... More

Post-Keplerian corrections to the orbital periods of a two-body system and their measurabilityJul 17 2014May 25 2016The orbital motion of a binary system is characterized by various characteristic temporal intervals which, by definition, are different from each other: the draconitic, anomalistic and sidereal periods. They all coincide in the Keplerian case. Such a ... More

Some Observable Effects of Modified Gravity in Cosmology and AstrophysicsJun 26 2014In Chapter 1 I present the current picture of the universe and briefly review the cosmological constant problem and some of the theories proposed to solve it. The following Chapters essentially contain the published papers with some modifications and ... More

The post-Newtonian gravitomagnetic spin-octupole moment of an oblate rotating body and its effects on an orbiting test particle; are they measurable in the Solar System?Oct 22 2018Jan 24 2019We analytically work out the orbital effects induced by the gravitomagnetic spin-octupole moment of an extended spheroidal rotating body endowed with angular momentum $\boldsymbol{S}$ and quadrupole mass moment $J_2$. Our results, proportional to $S J_2 ... More

White dwarfs constraints on dark sector models with light particlesOct 18 2013The white dwarf luminosity function is well understood in terms of standard model physics and leaves little room for exotic cooling mechanisms related to the possible existence of new weakly interacting light particles. This puts significant constraints ... More

Effects of theta on the deuteron binding energy and the triple-alpha processNov 10 2008Aug 21 2009We study the effects that a non zero strong-CP-violating parameter theta would have on the deuteron and diproton binding energies and on the triple-alpha process. Both these systems exhibit fine tuning, so it is plausible that a small change in the nuclear ... More

A class of AM-QFT algorithms for power-of-two FFTApr 07 2014This paper proposes a class of power-of-two FFT (Fast Fourier Transform) algorithms, called AM-QFT algorithms, that contains the improved QFT (Quick Fourier Transform), an algorithm recently published, as a special case. The main idea is to apply the ... More

Multivariate Alexander quandlesNov 16 2018Dec 08 2018The multivariate Alexander module of a link L has several subsets that admit quandle operations defined using the module operations. One of them, the fundamental multivariate Alexander quandle, determines the link module sequence of L.

Link colorings and the Goeritz matrixJan 16 2017Jun 08 2017We discuss the connection between colorings of a link diagram and the Goeritz matrix.

Fuzzballs in general relativity: a missed opportunityNov 16 2016Nov 27 2016Recently some 4d asymptotically $AdS_2 \times S^2$ regular bubbling solutions written in terms of an arbitrary profile function has appeared in literature. We discuss the possibility of extending these solutions to asymptotically flat spaces, therefore ... More

Improved QFT algorithm for power-of-two FFTJan 04 2013This paper shows that it is possible to improve the computational cost, the memory requirements and the accuracy of Quick Fourier Transform (QFT) algorithm for power-of-two FFT (Fast Fourier Transform) just introducing a slight modification in this algorithm. ... More

On the linear algebra of local complementationJan 06 2011Jun 26 2011We explore the connections between the linear algebra of symmetric matrices over GF(2) and the circuit theory of 4-regular graphs. In particular, we show that the equivalence relation on simple graphs generated by local complementation can also be generated ... More

Unusual Corrections to the Scaling of the Entanglement Entropy of the Excited states in Conformal Field TheoryJan 07 2016In this paper we study the scaling of the correction of the Renyi entropy of the excited states in systems described, in the continuum limit, by a conformal field theory (CFT). These corrections scale as $L^{-\frac{2\Delta}{n}}$, where $L$ is the system ... More

Measurement of the UHECR energy spectrum from hybrid data of the Pierre Auger ObservatoryJun 18 2007More than two years of fluorescence detector data collected in coincidence with at least one station of the surface detector array (``hybrid data'') are used to measure the flux and energy spectrum of cosmic rays above about 10$^{18}$ eV. The hybrid measurement ... More

The space of signed points and the Self Dual ModelJun 14 2002We study a generalization of the group of loops based on sets of signed points, instead of paths or loops. This geometrical setting incorporates the kinematical constraints of the Sigma Model, inasmuch as the the group of loops does with the Bianchi identities ... More

Generalized connected sum construction for scalar flat metricsNov 25 2006In this paper we will show that the generalized connected sum construction for constant scalar curvature metrics can be extended to the zero scalar curvature case. In particular we want to construct solutions to the Yamabe equation on the generalized ... More

Space-time decay of Navier-Stokes flows invariant under rotationsApr 28 2003We show that the solutions to the non-stationary Navier-Stokes equations in $R^d$, $d=2,3$ which are left invariant under the action of discrete subgroups of the orthogonal group $O(d)$ decay much faster as $|x|\to\infty$ or $ t \to\infty$ than in the ... More

What's wrong with the Platonic ideal of space and time?Sep 28 2016This is a chapter for an upcoming book, "Space, Time, and the Limits of Human Understanding", edited by Shyam Wuppuluri and Giancarlo Ghirardi. I first present the classical picture of flat space and ever-flowing time, as generally accepted until about ... More

Deformation theory of nearly Kähler manifoldsJan 18 2016Nearly K\"ahler manifolds are the Riemannian 6-manifolds admitting real Killing spinors. Equivalently, the Riemannian cone over a nearly K\"ahler manifold has holonomy contained in G2. In this paper we study the deformation theory of nearly K\"ahler manifolds, ... More

Integration by parts on the law of the reflecting Brownian motionApr 27 2004We prove an integration by parts formula on the law of the reflecting Brownian motion $X:=|B|$ in the positive half line, where $B$ is a standard Brownian motion. In other terms, we consider a perturbation of $X$ of the form $X^\epsilon = X+\epsilon h$ ... More

Critical probabilities and convergence time of Percolation Probabilistic Cellular AutomataDec 25 2013Nov 26 2014This paper considers a class of probabilistic cellular automata undergoing a phase transition with an absorbing state. Denoting by ${\mathcal{U}}(x)$ the neighbourhood of site $x$, the transition probability is $T(\eta_x = 1 | \eta_{{\mathcal{U}}(x)}) ... More

Relationship Between the Uncompensated Price-Elasticity and the Income-Elasticity of Demand Under Conditions of Additive PreferencesFeb 27 2016Mar 28 2016Income- and price-elasticity of demand quantify the responsiveness of markets to changes in income, and in prices, respectively. Under the assumptions of utility maximization and preference-independence (additive preferences), mathematical relationships ... More

Non-trivial translation-invariant valuations on $L^\infty$May 01 2015Translation-invariant valuations on the space $L^\infty(\mathbb{R}^n)$ are examined. We prove that such functionals vanish on functions with compact support. Moreover a rich family of non-trivial translation-invariant valuations on $L^\infty(\mathbb{R}^n)$ ... More

Valuation of asset and volatility derivatives using decoupled time-changed Lévy processesOct 19 2012Jan 31 2015In this paper we propose a general derivative pricing framework which employs decoupled time-changed (DTC) L\'evy processes to model the underlying asset of contingent claims. A DTC L\'evy process is a generalized time-changed L\'evy process whose continuous ... More

Kinetic equations: computationNov 28 2013Kinetic equations bridge the gap between a microscopic description and a macroscopic description of the physical reality. Due to the high dimensionality the construction of numerical methods represents a challenge and requires a careful balance between ... More

Pushing the envelope in deep visual recognition for mobile platformsOct 16 2017Nov 22 2017Image classification is the task of assigning to an input image a label from a fixed set of categories. One of its most important applicative fields is that of robotics, in particular the needing of a robot to be aware of what's around and the consequent ... More

Ill-conditioning in the Virtual Element Method: stabilizations and basesMay 30 2017Oct 18 2017In this paper we investigate the behavior of the condition number of the stiffness matrix resulting from the approximation of a 2D Poisson problem by means of the Virtual Element Method. It turns out that ill-conditioning appears when considering high-order ... More

On a non-solenoidal approximation to the incompressible Navier-Stokes equationsMay 16 2017We establish an asymptotic profile that sharply describes the behavior as $t\to\infty$ for solutions to a non-solenoidal approximation of the incompressible Navier-Stokes equations introduced by Temam. The solutions of Temam's model are known to converge ... More

A comment on "Can observations inside the Solar System reveal the gravitational properties of the quantum vacuum?" by D.S. HajdukovicJul 01 2019Aug 07 2019The modified gravitational theory by Hajdukovic [arXiv:1210.7421], based on the idea that quantum vacuum contains virtual gravitational dipoles, predicts, among other things, anomalous secular precessions of the planets of the Solar System as large as ... More

Are the planetary orbital effects of the Solar dark matter wake detectable?Jul 01 2019Sep 10 2019Recently, a discussion about the effects of the anisotropy in the spatial density of Dark Matter in the Solar neighbourhood due to the motion of the Sun through the Galactic halo on the orbital motion of the solar system's planets and their ability to ... More

Testing for strict stationarity in a random coefficient autoregressive modelJan 04 2019We propose a procedure to decide between the null hypothesis of (strict) stationarity and the alternative of non-stationarity, in the context of a Random Coefficient AutoRegression (RCAR). The procedure is based on randomising a diagnostic which diverges ... More

Balanced triangulations on few vertices and an implementation of cross-flipsNov 26 2018A $d$-dimensional simplicial complex is balanced if the underlying graph is $(d+1)$-colorable. We present an implementation of cross-flips, a set of local moves introduced by Izmestiev, Klee and Novik which connect any two PL-homeomorphic balanced combinatorial ... More

A lognormal luminosity function for SWIRE in flat cosmologyNov 05 2018The evaluation of the physical parameters or effects such as the luminosity function (LF) or the photometric maximum (PM) for galaxies is routinely modeled by their spectroscopic redshift. Here, we model LF and PM for galaxies by the photometric redshift ... More

The Fermi bubbles as a SuperbubbleJun 24 2018In order to model the Fermi bubbles we apply the theory of the superbubble (SB). A thermal model and a self-gravitating model are reviewed. We introduce a third model based on the momentum conservation of a thin layer which propagates in a medium with ... More

New general relativistic contributions to Mercury's orbital elements and their measurabilityAug 26 2019We numerically and analytically work out the first-order post-Newtonian (1pN) orbital effects induced on the semimajor axis $a$, the eccentricity $e$, the inclination $I$, the longitude of the ascending node $\Omega$, the longitude of perihelion $\varpi$, ... More

Revisiting CP-violation in Minimal Flavour ViolationMar 26 2009After a brief review of the minimal flavour violation hypothesis and its implementation in the MSSM, the most general parametrisation of the soft supersymmetry-breaking terms by means of the charged lepton and neutrino spurions is constructed. Thereby ... More

Two-body orbit expansion due to time-dependent relative acceleration rate of the cosmological scale factorDec 27 2013Jan 02 2014By phenomenologically assuming a slow temporal variation of the percent acceleration rate $\ddot S S^{-1}$ of the cosmic scale factor $S(t)$, it is shown that the orbit of a local binary undergoes a secular expansion. To first order in the power expansion ... More

On a recent preliminary study for the measurement of the Lense-Thirring effect with the Galileo satellitesNov 24 2013Jan 01 2014It has been recently proposed to combine the node drifts of the future constellation of 27 Galileo spacecraft together with those of the existing LAGEOS-type satellites to improve the accuracy of the past and ongoing tests of the Lense-Thirring (LT) effect ... More

Orbital motions and the conservation-law/preferred-frame $α_3$ parameterSep 27 2013Sep 12 2014We analytically calculate some orbital effects induced by the Lorentz-invariance/momentum-conservation PPN parameter $\alpha_3$ in a gravitationally bound binary system made of a compact primary orbited by a test particle. We neither restrict ourselves ... More

Semi-analytical formulas for the Hertzsprung-Russell DiagramNov 27 2008The absolute visual magnitude as function of the observed colour (B-V), also named Hertzsprung-Russell diagram can be described through five equations; that in presence of calibrated stars means eight constants. The developed framework allows to deduce ... More

Potential log canonical centersDec 01 2015Given an ambient variety $X$ and a fixed subvariety $Z$ we give sufficient conditions for the existence of a boundary $\Delta$ such that $Z$ is a log canonical center for the pair $(X, \Delta)$. We also show that under some additional hypotheses $\Delta$ ... More

Circuit partitions and signed interlacement in 4-regular graphsJul 14 2016Aug 07 2016Let $F$ be a 4-regular graph. Each circuit partition $P$ of $F$ has a corresponding touch-graph $Tch(P)$; the circuits in $P$ correspond to vertices of $Tch(P)$, and the vertices of $F$ correspond to edges of $Tch(P)$. We discuss the connection between ... More

Notes on a theorem of NajiJul 02 2015Jan 28 2016We present a new proof of an algebraic characterization of circle graphs due to W. Naji. For bipartite graphs, Naji's theorem is equivalent to an algebraic characterization of planar matroids due to J. Geelen and B. Gerards. Naji's theorem also yields ... More

Splitting cubic circle graphsApr 05 2015We show that every 3-regular circle graph has at least two pairs of twin vertices; consequently no such graph is prime with respect to the split decomposition. We also deduce that up to isomorphism, K_4 and K_{3,3} are the only 3-connected, 3-regular ... More

Resonant mono Higgs at the LHCDec 20 2015Jan 04 2016In recent years, the production of a SM particle with large missing transverse momentum, dubbed mono-X searches, have gained increasing attention. After the discovery of the Higgs boson in 2012, the run-II of the LHC will now scrutinise its properties, ... More

Phenomenology of the minimal B-L extension of the Standard Model at the LHCJun 22 2011A well-motivated framework to naturally introduce neutrino masses is the B-L model, a U(1) extension of the standard model related to the baryon minus lepton gauged number. Besides three right-handed neutrinos, that are included to cancel the anomalies ... More

A weak variant of Hindman's Theorem stronger than Hilbert's TheoremOct 18 2016Oct 21 2016Hirst investigated a slight variant of Hindman's Finite Sums Theorem - called Hilbert's Theorem - and proved it equivalent over $\mathbf{RCA}_0$ to the Infinite Pigeonhole Principle. This gave the first example of a natural restriction of Hindman's Theorem ... More

Fuzzballs in general relativity: a missed opportunityNov 16 2016Recently some 4d asymptotically $AdS_2 \times S^2$ regular bubbling solutions written in terms of an arbitrary profile function has appeared in literature. We discuss the possibility of extending these solutions to asymptotically flat spaces, therefore ... More

Designing labeled graph classifiers by exploiting the Rényi entropy of the dissimilarity representationAug 22 2014Mar 11 2016Representing patterns by complex relational structures, such as labeled graphs, is becoming an increasingly common practice in the broad field of computational intelligence. Accordingly, a wide repertoire of pattern recognition tools, such as classifiers ... More

Unified Analysis of Collapsible and Ordered Pushdown Automata via Term RewritingOct 15 2014We model collapsible and ordered pushdown systems with term rewriting, by encoding higher-order stacks and multiple stacks into trees. We show a uniform inverse preservation of recognizability result for the resulting class of term rewriting systems, ... More

A Simple Geometric Representative for $μ$ of a PointJan 12 1995For $SU(2)$ (or $SO(3)$) Donaldson theory on a 4-manifold $X$, we construct a simple geometric representative for $\mu$ of a point. Let $p$ be a generic point in $X$. Then the set $\{ [A] | F_A^-(p) $ is reducible $\}$, with coefficient -1/4 and appropriate ... More

Finite-time singularities in modified $\mathcal{F}(R,G)$-gravity and singularity avoidanceAug 18 2010Aug 19 2010We study finite-time future singularities in $\mathcal{F}(R,G)$-gravity, where $R$ and $G$ are the Ricci scalar and the Gauss-Bonnet invariant, respectively. In particular, we reconstruct the $F(G)$-gravity and $\mathcal{F}(R,G)$-gravity models realizing ... More

Dark Viscous Fluid coupled with Dark Matter and future singularityJun 08 2010Jun 29 2010We study effects of viscous fluid coupled with dark matter in our universe. We consider bulk viscosity in the cosmic fluid and we suppose the existence of a coupling between fluid and dark matter, in order to reproduce a stable de Sitter universe protected ... More

A new type of misconduct in the field of the Physical Sciences: the case of the pseudonyms used by I. Ciufolini to anonymously criticize other people's works on arXivJun 19 2014The above article, published online on 28 April 2014 in Wiley Online Library (wileyonlinelibrary.com), has been withdrawn with agreement from the journal Editor-in-Chief, Blaise Cronin, and Wiley Periodicals, Inc. The withdrawal has been agreed for legal ... More

Binary nullity, Euler circuits and interlace polynomialsMar 25 2009Dec 31 2009A theorem of Cohn and Lempel [J. Combin. Theory Ser. A 13 (1972), 83-89] gives an equality relating the number of circuits in a directed circuit partition of a 2-in, 2-out digraph to the GF(2)-nullity of an associated matrix. This equality is essentially ... More

A bracket polynomial for graphs. II. Links, Euler circuits and marked graphsJan 11 2009Mar 04 2009Let $D$ be an oriented classical or virtual link diagram with directed universe $\vec{U}$. Let $C$ denote a set of directed Euler circuits, one in each connected component of $U$. There is then an associated looped interlacement graph $L(D,C)$ whose construction ... More

A weak variant of Hindman's Theorem stronger than Hilbert's TheoremOct 18 2016Nov 28 2016Hirst investigated a slight variant of Hindman's Finite Sums Theorem -- called Hilbert's Theorem -- and proved it equivalent over $\RCA_0$ to the Infinite Pigeonhole Principle for all colors. This gave the first example of a natural restriction of Hindman's ... More

All coordinates transformations that separate the center of mass kinetic energy, their group structure and geometryOct 15 2009The most general coordinates transformations that allow for the exact separation of the kinetic energy operator of a quantum many-body system into total center of mass kinetic energy and internal kinetic energy are found and discussed. We find i) that ... More

Structure studies of conventional and novel excitations to the continuum in reactions with unstable nucleiDec 03 2003The themes covered in the present thesis are: a detailed study of double phonon giant resonances in normal nuclei, the enhancement of the excitation of Giant Pairing Vibrations using weakly-bound nuclei, an extension of the Steinwedel-Jensen model for ... More

Esplorazione Della Terra Incognita Della Fisica Nucleare: Nuclei Con Alone, Nuclei "A Grappoli", Nuclei Borromeani e Altre Stranezze Esotiche!Apr 04 2011English: If the current status of theoretical and experimental knowledge in Nuclear Physics could be reduced to a geographical chart or a planisphere, then our epoch would be in some respect comparable to the end of the Medieval age and in other to the ... More

Curvature Singularities from Gravitational Contraction in f(R) GravityDec 12 2012Mar 19 2013The discovery of the accelerated expansion of the Universe has had a vast resonance on a number of physical disciplines. In recent years several viable modified gravity models have been proposed, which naturally lead to a late-time de Sitter stage while ... More

A general relativistic gravitomagnetic effect on the orbital motion of a test particle around its primary induced by the spin of a distant third bodySep 30 2018We study a general relativistic gravitomagnetic 3rd-body effect induced by the spin angular momentum ${\boldsymbol{S}}_\textrm{X}$ of a rotating mass $M_\textrm{X}$ orbited at distance $r_\textrm{X}$ by a local gravitationally bound restricted two-body ... More

The environmental footprint of a distributed cloud storageMar 19 2018Every time we access a file on the Cloud, a chain of routing servers is activated to transfer the payload from the storage facility to the user's device, and back. The data center, being densely packed and highly-performant, is hardly optimized in terms ... More

A comment on "A test of general relativity using the LARES and LAGEOS satellites and a GRACE Earth gravity model", by I. Ciufolini et alJan 23 2017Recently, Ciufolini et al. reported on a test of the general relativistic gravitomagnetic Lense-Thirring effect by analyzing about 3.5 years of laser ranging data to the LAGEOS, LAGEOS II, LARES geodetic satellites orbiting the Earth. By using the GRACE-based ... More

Applications of nuclear physics to a wider context: from molecules to stars passing through hypernucleiJan 10 2017In this contribution I will review some of the researches that are currently being pursued in Padova (mainly within the In:Theory and Strength projects), focusing on the interdisciplinary applications of nuclear theory to several other branches of physics, ... More

Multivariate Alexander quandles, II. The involutory medial quandle of a linkFeb 27 2019Joyce showed that for a classical knot $K$, the order of the involutory medial quandle is $|\det K|$. Generalizing Joyce's result, we show that for a classical link $L$ of $\mu \geq 1$ components, the order of the involutory medial quandle is $\mu |\det ... More

Multifractal analysis of three-dimensional grayscale images: Estimation of generalized fractal dimension and singularity spectrumOct 10 2013A multifractal analysis is performed on a three-dimensional grayscale image associated with a complex system. First, a procedure for generating 3D synthetic images (2D image stacks) of a complex structure exhibiting multifractal behaviour is described. ... More

Generalized connected sum construction for constant scalar curvature metricsFeb 21 2006Apr 20 2006We consider the problem of constructing solutions to the Yamabe equation (i.e. conformal constant scalar curvature metrics) on the generalized connected sum M = (M_1) #_K (M_2) of two compact Riemannian manifolds (M_1,g_1) and (M_2,g_2) along a common ... More

Post-Keplerian perturbations of the orbital time shift in binary pulsars: an analytical formulation with applications to the Galactic CenterMar 27 2017May 22 2017We develop a general approach to analytically calculate the perturbations $\Delta\delta\tau_\textrm{p}$ of the orbital component of the change $\delta\tau_\textrm{p}$ of the times of arrival of the pulses emitted by a binary pulsar p induced by the post-Keplerian ... More

Binary matroids and local complementationJan 21 2013Nov 08 2014We introduce a binary matroid M(IAS(G)) associated with a looped simple graph G. M(IAS(G)) classifies G up to local equivalence, and determines the delta-matroid and isotropic system associated with G. Moreover, a parametrized form of its Tutte polynomial ... More

Knot Invariants from Classical Field TheoriesNov 17 1999We consider the Non-Abelian Chern-Simons term coupled to external particles, in a gauge and diffeomorphism invariant form. The classical equations of motion are perturbativelly studied, and the on-shell action is shown to produce knot-invariants associated ... More

Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge TheoriesMar 01 1996Abelian Gauge Theories are quantized in a geometric representation that generalizes the Loop Representation and treates electric and magnetic operators on the same footing. The usual canonical algebra is turned into a topological algebra of non local ... More

Local middle dimensional symplectic non-squeezing in the analytic settingAug 17 2015We prove the following middle-dimensional non-squeezing result for analytic symplectic embeddings of domains in $\mathbb{R}^{2n}$. Let $\varphi: D \hookrightarrow \mathbb{R}^{2n}$ be an analytic symplectic embedding of a domain $D \subset \mathbb{R}^{2n}$ ... More

Are the planetary orbital effects of the Solar dark matter wake detectable?Jul 01 2019Aug 02 2019Recently, a discussion about the effects of the anisotropy in the spatial density of Dark Matter in the Solar neighbourhood due to the motion of the Sun through the Galactic halo on the orbital motion of the solar system's planets and their ability to ... More

On the mean anomaly and the mean longitude in tests of post-Newtonian gravityJun 16 2019The distinction between the mean anomaly $\mathcal{M}(t)$ and the mean anomaly at epoch $\eta$, and the mean longitude $l(t)$ and the mean longitude at epoch $\epsilon$ is clarified in the context of a possible use of such orbital elements in post-Keplerian ... More

Pattern-Equivariant Cohomology with Integer CoefficientsFeb 03 2006Jul 06 2018We relate Kellendonk and Putnam's pattern-equivariant (PE) cohomology to the inverse-limit structure of a tiling space. This gives a version of PE cohomology with integer coefficients, or with coefficients in any Abelian group. It also provides an easy ... More

Tilings, tiling spaces and topologyJun 02 2005Jul 06 2018To understand an aperiodic tiling (or a quasicrystal modeled on an aperiodic tiling), we construct a space of similar tilings, on which the group of translations acts naturally. This space is then an (abstract) dynamical system. Dynamical properties of ... More

Post-Newtonian direct and mixed orbital effects due to the oblateness of the central bodyFeb 22 2014Jun 15 2015The orbital dynamics of a test particle moving in the non-spherically symmetric field of a rotating oblate primary is impacted also by certain indirect, mixed effects arising from the interplay of the different Newtonian and post-Newtonian accelerations ... More

On the effects of the Dvali-Gabadadze-Porrati braneworld gravity on the orbital motion of a test particleApr 12 2005Aug 20 2005In this paper we explicitly work out the secular perturbations induced on all the Keplerian orbital elements of a test body to order O(e^2) in the eccentricity e by the weak-field long-range modifications of the usual Newton-Einstein gravity due to the ... More

All-order results for soft and collinear gluonsJun 20 2008I briefly review some general features and some recent developments concerning the resummation of long-distance singularities in QCD and in more general non-abelian gauge theories. I emphasize the field-theoretical tools of the trade, and focus mostly ... More