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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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Electromagnetism and multiple-valued loop-dependent wave functionalsOct 14 2009We quantize the Maxwell theory in the presence of a electric charge in a "dual" Loop Representation, i.e. a geometric representation of magnetic Faraday's lines. It is found that the theory can be seen as a theory without sources, except by the fact that ... More

Maxwell Chern Simons Theory in a Geometric RepresentationAug 04 2000We quantize the Maxwell Chern Simons theory in a geometric representation that generalizes the Abelian Loop Representation of Maxwell theory. We find that in the physical sector, the model can be seen as the theory of a massles scalar field with a topological ... 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

On power corrections to event shapesNov 01 2002Recent work on the theme of power corrections in perturbative QCD is briefly reviewed, with an emphasis on event shapes in e+ e- annihilation. The factorization of soft gluon effects is the main tool: it leads to resummation, and thus highlights the limitations ... More

Analytic resummation and power corrections for DIS and Drell--YanSep 19 2001Dimensional continuation is applied to resummed expressions for the DIS and Drell-Yan partonic cross sections, to regularize the Landau pole. Simple analytic expression are obtained, encoding information about nonperturbative power--suppressed effects. ... More

Minimal Z' models and the 125 GeV Higgs bosonMar 05 2013Jan 29 2014The 1-loop renormalization group equations for the minimal Z' models encompassing a type-I seesaw mechanism are studied in the light of the 125 GeV Higgs boson discovery. This model is taken as a benchmark for the general case of singlet extensions of ... More

Chemical abundances of RGB-Tip stars in the Sagittarius dwarf Spheroidal galaxyOct 29 2004We present preliminary iron abundances and $\alpha$ element (Ca, Mg) abundance ratios for a sample of 22 Red Giant Branch (RGB) Stars in the Sagittarius dwarf spheroidal galaxy (Sgr), selected near the RGB-Tip. The sample is representative of the Sgr ... More

Subspace Least Square Approach for Drift Removal with Application to Herschel DataJan 07 2013We present a method to estimate and remove the baseline drift affecting the data produced by the two infrared imaging photometers onboard the ESA Herschel satellite, namely PACS and SPIRE. The method exploits a Least Square approach which is performed ... More

Tilings, tiling spaces and topologyJun 02 2005To 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

A bracket polynomial for graphs. III. Vertex weightsMay 29 2009Nov 16 2009In earlier work the Kauffman bracket polynomial was extended to an invariant of marked graphs, i.e., looped graphs whose vertices have been partitioned into two classes (marked and not marked). The marked-graph bracket polynomial is readily modified to ... More

Realistic modellization for the growth of a yeast colonyNov 20 2001An evolving yeast colony is simulated by means of a cellular automaton that takes care of many important features of the system under study. A complete survey of the properties of the colony is done and a set of scaling relations is found, together with ... More

Electron Heating by the Ion Cyclotron Instability in Collisionless Accretion Flows. II. Electron Heating Efficiency as a Function of Flow ConditionsNov 21 2014In the innermost regions of low-luminosity accretion flows, including Sgr A* at the center of our Galaxy, the frequency of Coulomb collisions is so low that the plasma is two-temperature, with the ions substantially hotter than the electrons. This paradigm ... More

Pattern-Equivariant Cohomology with Integer CoefficientsFeb 03 2006We 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

ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surfaceMar 21 2016We construct large families of new collapsing hyperk\"ahler metrics on the K3 surface. The limit space is the quotient of a flat 3-torus by an involution. Away from finitely many exceptional points the collapse occurs with bounded curvature. There are ... More

The potential of IORIO as relativity probe; the impact of the mismodeling in the Jovian gravity field multipolesOct 31 2018The IORIO (In-Orbit Relativity Iuppiter Observatory) concept consists of a fast orbiter of Jupiter $\left(P_\textrm{b}\simeq 0.12~\textrm{d}\right)$, endowed with a Juno-type Doppler ranging device, accurate to $\sigma_{\dot\rho}\simeq 0.003~\textrm{mm~s}^{-1}$, ... More

The Great Wall of SDSS galaxiesSep 10 2018An enhancement in the number of galaxies as function of the redshift is visible on the SDSS Photometric Catalogue DR 12 at z=0.383. This over-density of galaxies is named the Great Wall. This variable number of galaxies as a function of the redshift can ... More

An homogenization approach for the inverse spectral problem of periodic Schrödinger operatorsFeb 22 2018Feb 26 2018We study the inverse spectral problem for periodic Schr\"odinger opera\-tors of kind $- \frac{1}{2} \hbar^2 \Delta_x + V(x)$ on the flat torus $\Bbb T^n := (\Bbb R / 2 \pi \Bbb Z)^n$ with potentials $V \in C^{\infty} (\Bbb T^n)$. We show that if two operators ... More

The Milky Way as modeled by Percolation and SuperbubblesOct 02 2017The spiral structure of the Milky Way can be simulated by adopting percolation theory, where the active zones are produced by the evolution of many supernova (SN). Here we assume conversely that the percolative process is triggered by superbubbles (SB), ... More

The Photometric Maximum in Cosmicflows-2Feb 05 2018Based on well known photometric rules for the number of galaxies as function of the distance in Mpc we model the so called "Great Wall" which is visible on the Cosmicflows-2 catalog. The gravitational field is evaluated at the light of the shell theorem ... More

Post-Keplerian effects on radial velocity in binary systems and the possibility of measuring General Relativity with the S2 star in 2018May 15 2017Sep 04 2017One of the directly measured quantities which are used in monitoring the orbital motions of many of the S stars revolving around the Supermassive Black Hole (SMBH) in the Galactic Center (GC) is their radial velocity (RV) $V$ obtained with near-infrared ... More

Classical and relativistic laws of motion for spherical supernovasJul 20 2018We derive some first order differential equations which model the classical and the relativistic thin layer approximations. The circumstellar medium is assumed to follow a density profile which can be exponential, Gaussian, Plummer-like, self-gravitating ... More

Space and Space-Time geodesics in Schwarzschild geometryMar 21 2018Apr 01 2018Geodesic orbit equations in the Schwarzschild geometry of general relativity reduce to ordinary conic sections of Newtonian mechanics and gravity for material particles in the non-relativistic limit. On the contrary, geodesic orbit equations for a proper ... More

Standard and Truncated Luminosity Functions for stars in the Gaia EraDec 21 2017The luminosity function (LF) for stars is here fitted by a Schechter function and by a Gamma probability density function. The dependence of the number of stars on the distance, both in the low and high luminosity regions, requires the inclusion of a ... More

"Weak yet strong" restrictions of Hindman's Finite Sums TheoremOct 24 2016We present a natural restriction of Hindman's Finite Sums Theorem that admits a simple combinatorial proof (one that does not also prove the full Finite Sums Theorem) and low computability-theoretic and proof-theoretic upper bounds, yet implies the existence ... More

Are we close to put the anomalous perihelion precessions from Verlinde's emergent gravity to the test?Dec 12 2016Feb 22 2017In the framework of the emergent gravity scenario by Verlinde, it was recently observed by Liu and Prokopec that, among other things, an anomalous pericenter precession would affect the orbital motion of a test particle orbiting an isolated central body. ... More

Planet X revamped after the discovery of the Sedna-like object 2012 VP$_{113}$?Mar 31 2014Jul 17 2014The recent discovery of the Sedna-like dwarf planet 2012 VP$_{\rm 113}$ by Trujillo and Sheppard has revamped the old-fashioned hypothesis that a still unseen trans-Plutonian object of planetary size, variously dubbed over the years as Planet X, Tyche, ... More

Springer correspondence via p-adic analytic methodsOct 08 2002We show that the standard proof of the Springer correspondence in positive characteristic (via Deligne-Fourier transform) works verbatim in characteristic zero, up to replacing Deligne-Fourier transform by another etale Fourier transform introduced by ... More

Analysis of two-phase shape optimization problems by means of shape derivativesApr 24 2019This is my Ph.D. Thesis at Tohoku Univeristy (July 2018). It presents the theory on shape derivatives and focuses on its applications to two-phase optimization problems. In particular, we treat the two-phase torsion problem and a two-phase analogous of ... More

Multivariate Alexander quandles, III. SublinksMay 20 2019If $L$ is a classical link then the multivariate Alexander quandle, $Q_A(L)$, is a substructure of the multivariate Alexander module, $M_A(L)$. In the first paper of this series we showed that if two links $L$ and $L'$ have $Q_A(L) \cong Q_A(L')$, then ... More

Fluctuations for a conservative interface model on a wallNov 05 2007We consider an effective interface model on a hard wall in (1+1) dimensions, with conservation of the area between the interface and the wall. We prove that the equilibrium fluctuations of the height variable converge in law to the solution of a SPDE ... More

Localizations and completions in motivic homotopy theoryOct 09 2018Let $K$ be a perfect field and let $E$ be a homotopy commutative ring spectrum in the Morel-Voevodsky stable motivic homotopy category $\mathcal{SH}(K)$. In this work we investigate the relation between the $E$-homology localization and $E$-nilpotent ... More

Simple Type is Not a Boundary PhenomenonDec 22 1997This is an expository article, explaining recent work by D. Groisser and myself [GS] on the extent to which the boundary region of moduli space contributes to the ``simple type'' condition of Donaldson theory. The presentation is intended to complement ... More

Finitely Balanced Sequences and Plasticity of 1-Dimensional TilingsJan 21 2015Mar 23 2015We relate a balancing property of letters for bi-infinite sequences to the invariance of the resulting 1-dimensional tiling dynamics under changes in the lengths of the tiles. If the language of the sequence space is finitely balanced, then all length ... More

NLS ground states on metric graphs with localized nonlinearitiesMar 02 2015Aug 03 2015We investigate the existence of ground states for the focusing subcritical NLS energy on metric graphs with localized nonlinearities. In particular, we find two thresholds on the measure of the region where the nonlinearity is localized that imply, respectively, ... More

Lefschetz Properties of Gorenstein Graded Algebras associated to the Apéry Set of a Numerical SemigroupDec 05 2017Aug 22 2018In this paper we study the Weak Lefschetz property of two classes of standard graded Artinian Gorenstein algebras associated in a natural way to the Ap\'ery set of numerical semigroups. To this aim we also prove a general result about the transfer of ... More

Local monodromy in non-archimedean analytic geometry -- fifth releaseOct 27 2003Jun 18 2004We study the topology of the punctured disc defined over a non-archimedean field of characteristic zero. Chapter two includes a new proof of the so-called p-adic Riemann existence theorem. This release completes the study of breaks and break decompositions ... More

A conservative evolution of the Brownian excursionNov 07 2007We consider the problem of conditioning the Brownian excursion to have a fixed time average over the interval [0,1] and we study an associated stochastic partial differential equation with reflection at 0 and with the constraint of conservation of the ... More

Bubbling complex projective structures with quasi-Fuchsian holonomyJan 12 2017For a given quasi-Fuchsian representation $\rho:\pi_1(S)\to$ PSL$_2\mathbb{C}$ of the fundamental group of a surface $S$ of genus $g\geq 2$, we prove that a generic branched complex projective structure on $S$ with holonomy $\rho$ and two branch points ... More

A Simple Geometric Representative for $μ$ of a PointJan 12 1995Jul 09 2018For $SU(2)$ (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

Multi(de)grafting quasi-Fuchsian complex projective structures via bubblesJan 21 2017We show that the simultaneous (de)grafting of a complex projective structure with quasi-Fuchsian holonomy along a multicurve can be performed by a simple sequence of one bubbling and one debubbling. As a consequence we obtain that any complex projective ... More

ALF gravitational instantons and collapsing Ricci-flat metrics on the K3 surfaceMar 21 2016Apr 27 2017We construct large families of new collapsing hyperk\"ahler metrics on the K3 surface. The limit space is the quotient of a flat 3-torus by an involution. Away from finitely many exceptional points the collapse occurs with bounded curvature. There are ... More

Directed unions of local monoidal transforms and GCD domainsAug 23 2018Let $(R, \mathfrak{m})$ be a regular local ring of dimension $d \geq 2$. A local monoidal transform of $R$ is a ring of the form $R_1= R[\frac{\mathfrak{p}}{x}]_{\mathfrak{m}_1}$ where $x \in \mathfrak{p}$ is a regular parameter, $\mathfrak{p}$ is a regular ... More

Cohomology of Hierarchical TilingsJun 03 2014This is a chapter in an upcoming book on aperiodic order. We go over different versions of tiling cohomology (\v Cech, pattern-equivariant, PV, quotient) with emphasis on the inverse limit constructions used to compute these cohomologies. We then consider ... More

PentaquarksJun 21 2019The field of exotic spectroscopy is extremely rich and productive. Several observations and searches for pentaquark states have been performed in the last 4 years, starting from the LHCb observation in 2015. This is still quite a recent discovery, and ... More

Weighted statistical parameters for irregularly sampled time seriesApr 24 2013Sep 06 2013Unevenly spaced time series are common in astronomy because of the day-night cycle, weather conditions, dependence on the source position in the sky, allocated telescope time, corrupt measurements, for example, or be inherent to the scanning law of satellites ... More

Effect of Heterogeneous Mixing and Vaccination on the Dynamics of Anthelmintic Resistance: A Nested ModelMay 21 2010Anthelmintic resistance is a major threat to current measures for helminth control in humans and animals. The introduction of anthelmintic vaccines, as a complement to or replacement for drug treatments, has been advocated as a preventive measure. Here, ... More

Link Invariants from Classical Chern-Simons TheoryApr 17 2002May 08 2002Taking as starting point a perturbative study of the classical equations of motion of the non-Abelian Chern-Simons Theory with non-dynamical sources, we search for analytical expressions for link invarians. In order to present these expressions in a manifestly ... More

Sudakov logs and power corrections for selected event shapesSep 17 2004I summarize the results of recent studies analyzing perturbative and nonperturbative effects of soft gluon radiation on the distributions of the C-parameter and of the class of angularities, by means of dressed gluon exponentiation.