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Testing Primordial Black Holes as Dark Matter through LISAOct 29 2018Feb 22 2019The idea that primordial black holes (PBHs) can comprise most of the dark matter of the universe has recently reacquired a lot of momentum. Observational constraints, however, rule out this possibility for most of the PBH masses, with a notable exception ... More

Possibly Large Corrections to the Inflationary ObservablesNov 26 2007We point out that the theoretical predictions for the inflationary observables may be generically altered by the presence of fields which are heavier than the Hubble rate during inflation and whose dynamics is usually neglected. They introduce corrections ... More

Anisotropies and non-Gaussianity of the Cosmological Gravitational Wave BackgroundAug 01 2019The Stochastic Gravitational Wave Background (SGWB) is expected to be a key observable for Gravitational Wave (GW) interferometry. Its detection will open a new window on early universe cosmology and on the astrophysics of compact objects. Using a Boltzmann ... More

The simplest curvaton modelMar 06 2002Apr 29 2002We analyze the simplest possible realization of the curvaton scenario, where a nearly scale-invariant spectrum of adiabatic perturbations is generated by conversion of an isocurvature perturbation generated during inflation, rather than the usual inflationary ... More

Electromagnetic field fluctuations near a dielectric-vacuum boundary and surface divergences in the ideal conductor limitApr 29 2012Jul 30 2012We consider the electric and magnetic field fluctuations in the vacuum state in the region external to a half-space filled with a homogeneous non-dissipative dielectric. We discuss an appropriate limit to an ideal metal and concentrate our interest on ... More

Enhancement of Non-Gaussianity after InflationAug 06 2003Apr 05 2004We study the evolution of cosmological perturbations on large scales, up to second order, for a perfect fluid with generic equation of state. Taking advantage of super-horizon conservation laws, it is possible to follow the evolution of the non-Gaussianity ... More

Non-Gaussianity in the Cosmic Microwave Background Anisotropies at Recombination in the Squeezed limitSep 09 2011Sep 13 2011We estimate analytically the second-order cosmic microwave background temperature anisotropies at the recombination epoch in the squeezed limit and we deduce the contamination to the primordial local non-Gaussianity. We find that the level of contamination ... More

On Non-Gaussianity in the Curvaton ScenarioSep 03 2003Nov 28 2003Since a positive future detection of non-linearity in the cosmic microwave background anisotropy pattern might allow to descriminate among different mechanisms giving rise to cosmological adiabatic perturbations, we study the evolution of the second-order ... More

The Full Second-Order Radiation Transfer Function for Large-Scale CMB AnisotropiesDec 19 2005We calculate the full second-order radiation transfer function for Cosmic Microwave Background anisotropies on large angular scales in a flat universe filled with matter and cosmological constant. It includes (i) the second-order generalization of the ... More

Relativistic effects and primordial non-Gaussianity in the galaxy biasNov 19 2010Apr 19 2011When dealing with observables, one needs to generalize the bias relation between the observed galaxy fluctuation field to the underlying matter distribution in a gauge-invariant way. We provide such relation at second-order in perturbation theory adopting ... More

CMB Anisotropies at Second Order IApr 19 2006May 05 2006We present the computation of the full system of Boltzmann equations at second-order describing the evolution of the photon, baryon and cold dark matter fluids. These equations allow to follow the time evolution of the Cosmic Microwave Background (CMB) ... More

Gauge-Invariant Temperature Anisotropies and Primordial Non-GaussianityJul 23 2004Nov 03 2004We provide the gauge-invariant expression for large-scale cosmic microwave background temperature fluctuations at second-order in perturbation theory. It enables to unambiguously define the nonlinearity parameter f_NL which is used by experimental collaborations ... More

Signatures of Primordial Non-Gaussianity in the Large-Scale Structure of the UniverseJan 27 2005Dec 21 2005We discuss how primordial (e.g. inflationary) non-Gaussianity in the cosmological perturbations is left imprinted in the Large-Scale Structure of the universe. Our findings show that the information on the primordial non-Gaussianity set on super-Hubble ... More

Non-Gaussianity from InflationDec 19 2001Mar 18 2002Correlated adiabatic and isocurvature perturbation modes are produced during inflation through an oscillation mechanism when extra scalar degrees of freedom other than the inflaton field are present. We show that this correlation generically leads to ... More

Non-Gaussianity and the Cosmic Microwave Background AnisotropiesJan 22 2010We review in a pedagogical way the present status of the impact of non-Gaussianity (NG) on the Cosmic Microwave Background (CMB) anisotropies. We first show how to set the initial conditions at second-order for the (gauge invariant) CMB anisotropies when ... More

Non-Gaussianity of Large-Scale Cosmic Microwave Background Anisotropies beyond Perturbation TheoryJun 17 2005Aug 31 2005We compute the fully non-linear Cosmic Microwave Background (CMB) anisotropies on scales larger than the horizon at last-scattering in terms of only the curvature perturbation, providing a generalization of the linear Sachs-Wolfe effect at any order in ... More

Evolution of Second-Order Cosmological Perturbations and Non-GaussianitySep 25 2003Oct 06 2003We present a second-order gauge-invariant formalism to study the evolution of curvature perturbations in a Friedmann-Robertson-Walker universe filled by multiple interacting fluids. We apply such a general formalism to describe the evolution of the second-order ... More

Oscillations During Inflation and the Cosmological Density PerturbationsJun 01 2001Jun 07 2001Adiabatic (curvature) perturbations are produced during a period of cosmological inflation that is driven by a single scalar field, the inflaton. On particle physics grounds -- though -- it is natural to expect that this scalar field is coupled to other ... More

Adiabatic and Isocurvature Perturbations from Inflation: Power Spectra and Consistency RelationsJul 26 2001We study adiabatic and isocurvature perturbations produced during a period of cosmological inflation. We compute the power spectra and cross spectra of the curvature and isocurvature modes, as well as the tensor perturbation spectrum in terms of the slow-roll ... More

Post-inflation increase of the cosmological tensor-to-scalar perturbation ratioJul 25 2005Sep 10 2005We investigate the possibility that the amplitude of scalar density perturbations may be damped after inflation. This would imply that CMB anisotropies do not uniquely fix the amplitude of the perturbations generated during inflation and that the present ... More

On fundamental groups of plane curve complementsJul 29 2015In this paper we discuss some properties of fundamental groups and Alexander polynomials of plane curves. We discuss the relationship of the non-triviality of Alexander polynomials and the notion of (nearly) freeness for irreducible plane curves. We reprove ... More

On Maximal order poles of generalized topological zeta functionsFeb 26 2019We show some examples of topological zeta functions associated to an isolated plane curve singular point and an allowed, in the sense of N\'emethi and Veys, differential form that have several poles of order two. This is in contrast to the case of the ... More

Non-Gaussianity from Inflation: Theory and ObservationsJun 17 2004Jul 28 2004This is a review of models of inflation and of their predictions for the primordial non-Gaussianity in the density perturbations which are thought to be at the origin of structures in the Universe. Non-Gaussianity emerges as a key observable to discriminate ... More

CMB temperature anisotropies from third order gravitational perturbationsJul 19 2007Dec 14 2007In this paper we present a complete computation of the Cosmic Microwave Background (CMB) anisotropies up to third order from gravitational perturbations accounting for scalar, vector and tensor perturbations. We then specify our results to the large scale ... More

On the Physical Significance of Infra-red Corrections to Inflationary ObservablesNov 27 2007Dec 04 2007Inflationary observables, like the power spectrum, computed at one- and higher-order loop level seem to be plagued by large infra-red corrections. In this short note, we point out that these large infra-red corrections appear only in quantities which ... More

Some open questions on arithmetic Zariski pairsJun 17 2015In this paper, complement-equivalent arithmetic Zariski pairs will be exhibited answering in the negative a question by Eyral-Oka on these curves and their groups. A complement-equivalent arithmetic Zariski pair is a pair of complex projective plane curves ... More

The Maximal Amount of Gravitational Waves in the Curvaton ScenarioMay 29 2007Sep 24 2007The curvaton scenario for the generation of the cosmological curvature perturbation on large scales represents an alternative to the standard slow-roll scenario of inflation in which the observed density perturbations are due to fluctuations of the inflaton ... More

Second-Order Cosmological Perturbations from InflationSep 09 2002Dec 19 2002We present the first computation of the cosmological perturbations generated during inflation up to second order in deviations from the homogeneous background solution. Our results, which fully account for the inflaton self-interactions as well as for ... More

Second-order matter perturbations in a LambdaCDM cosmology and non-GaussianityFeb 19 2010We obtain exact expressions for the effect of primordial non-Gaussianity on the matter density perturbation up to second order in a LambdaCDM cosmology, fully accounting for the general relativistic corrections arising on scales comparable with the Hubble ... More

The impact of cosmic neutrinos on the gravitational-wave backgroundMay 21 2008Oct 23 2008We obtain the equation governing the evolution of the cosmological gravitational-wave background, accounting for the presence of cosmic neutrinos, up to second order in perturbation theory. In particular, we focus on the epoch during radiation dominance, ... More

Critical behavior of dissipative two-dimensional spin latticesSep 09 2016We explore critical properties of two-dimensional lattices of spins interacting via an anisotropic Heisenberg Hamiltonian and subject to incoherent spin flips. We determine the steady-state solution of the master equation for the density matrix via the ... More

Exact results for Schrödinger cats in driven-dissipative systems and their feedback controlJan 12 2016May 25 2016In quantum optics, photonic Schr\"odinger cats are superpositions of two coherent states with opposite phases and with a significant number of photons. Recently, these states have been observed in the transient dynamics of driven-dissipative resonators ... More

Studies of h/e Aharonov-Bohm Photovoltaic Oscillations in Mesoscopic Au RingsSep 20 1996We have investigated a mesoscopic photovoltaic (PV) effect in micron-size Au rings in which a dc voltage Vdc is generated in response to microwave radiation. The effect is due to the lack of inversion symmetry in a disordered system. Aharonov-Bohm PV ... More

An Estimator for statistical anisotropy from the CMB bispectrumJul 21 2011Jan 19 2012Various data analyses of the Cosmic Microwave Background (CMB) provide observational hints of statistical isotropy breaking. Some of these features can be studied within the framework of primordial vector fields in inflationary theories which generally ... More

Long-range Casimir interactions between impurities in nematic liquid crystals and the collapse of polymer chains in such solventsNov 19 1999The elastic interactions between objects embedded in a nematic liquid crystal are usually caused by the average distorsion-rather than by the fluctuations-of the nematic orientational field. We argue that for sufficiently small particles, the nematic-mediated ... More

On the topology of hypocycloidsMar 24 2017Algebraic geometry has many connections with physics: string theory, enumerative geometry, and mirror symmetry, among others. In particular, within the topological study of algebraic varieties physicists focus on aspects involving symmetry and non-commutativity. ... More

Quasi-projectivity, Artin-Tits Groups, and Pencil MapsMay 28 2010We consider the problem of deciding if a group is the fundamental group of a smooth connected complex quasi-projective (or projective) variety using Alexander-based invariants. In particular, we solve the problem for large families of Artin-Tits groups. ... More

Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic linksApr 01 2019The present paper studies the structure of characteristic varieties of fundamental groups of graph manifolds. As a consequence, a simple proof of Papadima's question is provided on the characterization of algebraic links that have quasi-projective fundamental ... More

Kummer covers and braid monodromyMay 24 2012Jun 08 2015In this work we describe a method to reconstruct the braid monodromy of the preimage of a curve by a Kummer cover. This method is interesting, since it combines two techniques, namely, the reconstruction of a highly non-generic braid monodromy with a ... More

A topological invariant of line arrangementsJul 12 2014We define a new topological invariant of line arrangements in the complex projective plane. This invariant is a root of unity defined under some combinatorial restrictions for arrangements endowed with some special torsion character on the fundamental ... More

Coverings of rational ruled normal surfacesMar 12 2018In this work we use arithmetic, geometric, and combinatorial techniques to compute the cohomology of Weil divisors of a special class of normal surfaces, the so-called rational ruled toric surfaces. These computations are used to study the topology of ... More

Computation-free presentation of the fundamental group of generic $(p,q)$-torus curvesJan 16 2012In this note, we present a new method for computing fundamental groups of curve complements using a variation of the Zariski-Van Kampen method on general ruled surfaces. As an application we give an alternative (computation-free) proof for the fundamental ... More

Miranda-Persson's problem on extremal elliptic K3 surfacesSep 11 1998We compute Mordell-Weil groups for extremal semistable elliptic fibrations of K3 surfaces

Wirtinger curves, Artin groups, and hypocycloidsMay 09 2017Aug 31 2017The computation of the fundamental group of the complement of an algebraic plane curve has been theoretically solved since Zariski-van Kampen, but actual computations are usually cumbersome. In this work, we describe the notion of Wirtinger presentation ... More

Fundamental groups of real arrangements and torsion in the lower central series quotientsApr 13 2017Jan 11 2018By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing a counter-example for a problem of Falk and Randell. We also deduce that ... More

Freezing a Flock: Motility-Induced Phase Separation in Polar Active LiquidsMar 04 2019Combining model experiments and theory, we investigate the dense phases of polar active matter beyond the conventional flocking picture. We show that above a critical density flocks assembled from self-propelled colloids arrest their collective motion, ... More

Horizontal visibility graphs: exact results for random time seriesFeb 24 2010The visibility algorithm has been recently introduced as a mapping between time series and complex networks. This procedure allows to apply methods of complex network theory for characterizing time series. In this work we present the horizontal visibility ... More

Superisolated Surface SingularitiesSep 13 2005In this survey, we review part of the theory of superisolated surface singularities (SIS) and its applications including some new and recent developments. The class of SIS singularities is, in some sense, the simplest class of germs of normal surface ... More

Heegaard splittings of graph manifoldsFeb 20 2018In this paper we give a method to construct Heegaard splittings of oriented graph manifolds with orientable bases. A graph manifold is a closed $3$-manifold admitting only Seifert-fibered pieces in its Jaco-Shalen decomposition; for technical reasons, ... More

Triangular curves and cyclotomic Zariski tuplesApr 19 2019The purpose of this paper is to exhibit infinite families of conjugate projective curves in a number field whose complement have the same abelian fundamental group, but are non-homeomorphic. In particular, for any $d>3$ we find Zariski tuples parametrized ... More

Characteristic varieties of quasi-projective manifolds and orbifoldsMay 26 2010Apr 28 2012We prove that the irreducible components of the characteristic varieties of quasi-projective manifolds are either pull-backs of such components for orbifolds, or torsion points. This gives an interpretation for the so-called \emph{translated} components ... More

The Primordial Black Hole Dark Matter - LISA SerendipityOct 29 2018Apr 07 2019There has recently been renewed interest in the possibility that the dark matter in the universe consists of primordial black holes (PBHs). Current observational constraints leave only a few PBH mass ranges for this possibility. One of them is around ... More

The Primordial Black Hole Dark Matter - LISA SerendipityOct 29 2018Feb 22 2019The last few years have witnessed a renewed interest in the possibility that primordial black holes (PBHs) constitute the dark matter of the universe. Current observational constraints leave only a few PBH mass ranges for this possibility. One of them ... More

Dipolar-Induced Resonance for Ultracold Bosons in a Quasi-1D Optical LatticeMar 13 2013Aug 16 2013We study the role of the Dipolar-Induced Resonance (DIR) in a quasi-one-dimensional system of ultracold bosons. We first describe the effect of the DIR on two particles in a harmonic trap. Then, we consider a deep optical lattice loaded with ultracold ... More

ISW effect in Unified Dark Matter Scalar Field Cosmologies: an analytical approachJul 28 2007Feb 13 2008We perform an analytical study of the Integrated Sachs-Wolfe (ISW) effect within the framework of Unified Dark Matter models based on a scalar field which aim at a unified description of dark energy and dark matter. Computing the temperature power spectrum ... More

Bonabeau hierarchy models revisitedNov 11 2005What basic processes generate hierarchy in a collective? The Bonabeau model provides us a simple mechanism based on randomness which develops self-organization through both winner/looser effects and relaxation process. A phase transition between egalitarian ... More

Phase transition in the Countdown problemJun 13 2012Here we present a combinatorial decision problem, inspired by the celebrated quiz show called the countdown, that involves the computation of a given target number T from a set of k randomly chosen integers along with a set of arithmetic operations. We ... More

Canonical Horizontal Visibility Graphs are uniquely determined by their degree sequenceMay 17 2016Horizontal visibility graphs (HVGs) are graphs constructed in correspondence with number sequences that have been introduced and explored recently in the context of graph-theoretical time series analysis. In most of the cases simple measures based on ... More

Flowing active liquids in a pipe: Hysteretic response of polar flocks to external fieldsMar 28 2018We investigate the response of colloidal flocks to external fields. We first show that individual colloidal rollers align with external flows as would a classical spin with magnetic fields. Assembling polar active liquids from colloidal rollers, we experimentally ... More

One-loop graviton corrections to the curvature perturbation from inflationJul 17 2008Nov 14 2008We compute one-loop corrections to the power spectrum of the curvature perturbation in single-field slow-roll inflation arising from gravitons and inflaton interactions. The quantum corrections due to gravitons to the power spectrum of the inflaton field ... More

Shaking-induced motility in suspensions of soft active particlesNov 19 2009We investigate theoretically the collective dynamics of soft active particles living in a viscous fluid. We focus on a minimal model for active but non-motile particles consisting of $N>1$ elastic dimers deformed by active stresses and interacting hydrodynamically. ... More

No many-scallop theorem: Collective locomotion of reciprocal swimmersMay 05 2008To achieve propulsion at low Reynolds number, a swimmer must deform in a way that is not invariant under time-reversal symmetry; this result is known as the scallop theorem. We show here that there is no many-scallop theorem. We demonstrate that two active ... More

Vacuum-dressed cavity magnetotransport of a 2D electron gasMay 07 2018Oct 17 2018We present a theory predicting how the linear magnetotransport of a two-dimensional electron gas is modified by a passive electromagnetic cavity resonator where no real photons are injected nor created. For a cavity photon mode with in-plane linear polarization, ... More

The Gauss Constraint in the Extended Loop RepresentationJul 05 1996The Gauss constraint in the extended loop representation for quantum gravity is studied. It is shown that there exists a sector of the state space that is rigorously gauge invariant without the generic convergence issues of the extended holonomies.

Revisiting the Saffman-Taylor experiment: imbibition patterns and liquid-entrainment transitionsApr 09 2014We revisit the Saffman-Taylor experiment focusing on the forced-imbibition regime where the displacing fluid wets the confining walls. We demonstrate a new class of invasion patterns that do not display the canonical fingering shapes. We evidence that ... More

On the non-Gaussianity from RecombinationNov 28 2008Feb 10 2009The non-linear effects operating at the recombination epoch generate a non-Gaussian signal in the CMB anisotropies. Such a contribution is relevant because it represents a major part of the second-order radiation transfer function which must be determined ... More

Measuring Mutual Information in Random Boolean NetworksSep 03 1999During the last few years an area of active research in the field of complex systems is that of their information storing and processing abilities. Common opinion has it that the most interesting beaviour of these systems is found ``at the edge of chaos'', ... More

Scalar-Tensor Gravity and QuintessenceAug 31 1999Scalar fields with inverse power-law effective potentials may provide a negative pressure component to the energy density of the universe today, as required by cosmological observations. In order to be cosmologically relevant today, the scalar field should ... More

The first digit frequencies of primes and Riemann zeta zeros tend to uniformity following a size-dependent generalized Benford's lawNov 20 2008Prime numbers seem to distribute among the natural numbers with no other law than that of chance, however its global distribution presents a quite remarkable smoothness. Such interplay between randomness and regularity has motivated sci- entists of all ... More

Critical mingling and universal correlations in binary active liquidsDec 08 2016Ensembles of driven or motile bodies moving along opposite directions are generically reported to self-organize into strongly anisotropic lanes. We quantitatively elucidate this behavior for binary mixtures of self-propelled bodies targeting opposite ... More

Geometrically-protected reversibility in hydrodynamic Loschmidt-echo experimentsJul 07 2014We demonstrate an archetypal Loschmidt-echo experiment involving thousands of droplets which interact in a reversible fashion via a viscous fluid. Firstly, we show that, unlike equilibrium systems, periodically driven microfluidic emulsions self-organize ... More

Small-Worlds, Mazes and Random WalksNov 18 2002We establish a relationship between the Small-World behavior found in complex networks and a family of Random Walks trajectories using, as a linking bridge, a maze iconography. Simple methods to generate mazes using Random Walks are discussed along with ... More

Matter waves in two-dimensional arbitrary atomic crystalsSep 17 2014We present a general scheme to realize a cold-atom quantum simulator of bidimensional atomic crystals. Our model is based on the use of two independently trapped atomic species: the first one, subject to a strong in-plane confinement, constitutes a two-dimensional ... More

Critical mingling and universal correlations in model binary active liquidsDec 08 2016Apr 07 2017Ensembles of driven or motile bodies moving along opposite directions are generically reported to self-organize into strongly anisotropic lanes. Here, building on a minimal model of self-propelled bodies targeting opposite directions, we first evidence ... More

Quasi-ordinary power series and their zeta functionsJun 17 2003The main objective of this paper is to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, we compute the local Denef-Loeser motivic zeta ... More

Quasi-ordinary singularities and Newton treesMar 08 2012In this paper we study some properties of the class of nu-quasi-ordinary hypersurface singularities. They are defined by a very mild condition on its (projected) Newton polygon. We associate with them a Newton tree and characterize quasi-ordinary hypersurface ... More

Matter Waves in Atomic Artificial GrapheneAug 26 2014We present a new model to realize artificial 2D lattices with cold atoms investigating the atomic artificial graphene: a 2D-confined matter wave is scattered by atoms of a second species trapped around the nodes of a honeycomb optical lattice. The system ... More

Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational wavesJun 14 2017Jul 25 2017Considering high-energy modifications of Einstein gravity during inflation is an interesting issue. We can constrain the strength of the new gravitational terms through observations of inflationary imprints in the actual universe. In this paper we analyze ... More

CMB spectroscopy at third-order in cosmological perturbationsAug 30 2018Sep 26 2018Early energy injection to the Cosmic Microwave Background~(CMB) from dissipation of acoustic waves generates deviations from the blackbody spectrum not only at second-order but also at third-order in cosmological perturbations. We compute this new spectral ... More

Statistical measures of complexity for strongly interacting systemsAug 27 1999In recent studies, new measures of complexity for nonlinear systems have been proposed based on probabilistic grounds, as the LMC measure (Phys. Lett. A {\bf 209} (1995) 321) or the SDL measure (Phys. Rev. E {\bf 59} (1999) 2). All these measures share ... More

On the p-th root of a p-adic numberAug 16 2007We give a sufficient and necessary condition for a p-adic integer to have p-th root in the ring of p-adic integers. The same condition holds clearly for residues modulo p^k. We give a proof that Fermat's last theorem is false for p-adic integers and for ... More

Mixing by Unstirring: Hyperuniform Dispersion of Interacting Particles upon Chaotic AdvectionFeb 08 2017Jul 06 2017We show how to achieve both fast and hyperuniform dispersions of particles in viscous fluids. To do so, we first extend the concept of critical random organization to chaotic drives. We show how palindromic sequences of chaotic advection cause microscopic ... More

Braiding a flock: winding statistics of interacting flying spinsJan 30 2015Jun 26 2015When animal groups move coherently in the form of a flock, their trajectories are not all parallel, the individuals exchange their position in the group. In this Letter we introduce a measure of this mixing dynamics, which we quantify as the winding of ... More

Modified Mean Field approximation for the Ising ModelJun 08 2009We study a modified mean-field approximation for the Ising Model in arbitrary dimension. Instead of taking a "central" spin, or a small "drop" of fluctuating spins coupled to the effective field of their nearest neighbors as in the Mean-Field or the Bethe-Peierls-Weiss ... More

Elastic interaction between "hard'' or "soft" pointwise inclusions on biological membranesFeb 12 2003We calculate the induced elastic-interaction between pointwise membrane inclusions that locally interact up to quadratic order with the membrane curvature tensor. For isotropic inclusions, we recover the usual interaction proportional to the inverse fourth ... More

Lyapunov Exponents in Random Boolean NetworksJun 30 1999A new order parameter approximation to Random Boolean Networks (RBN) is introduced, based on the concept of Boolean derivative. A statistical argument involving an annealed approximation is used, allowing to measure the order parameter in terms of the ... More

Tailoring the interactions between self-propelled bodiesApr 18 2014Apr 23 2014We classify the interactions between self-propelled particles moving at a constant speed from symmetry considerations. We establish a systematic expansion for the two-body forces in the spirit of a multipolar expansion. This formulation makes it possible ... More

An analytical expression for the third coefficient of the Jones PolynomialJun 22 1994An analytical expression for the third coefficient of the Jones Polynomial $P_J[\gamma,\, {\em e}^q]$ in the variable $q$ is reported. Applications of the result in Quantum Gravity are considered.

Walking on exoplanets: Is Star Wars right?Apr 26 2016As the number of detected extrasolar planets increases, exoplanet databases become a valuable resource, confirming some details about planetary formation, but also challenging our theories with new unexpected properties.

Velocity Selection for Propagating Fronts in SuperconductorsJul 03 1996Using the time-dependent Ginzburg-Landau equations we study the propagation of planar fronts in superconductors, which would appear after a quench to zero applied magnetic field. Our numerical solutions show that the fronts propagate at a unique speed ... More

Halos of Unified Dark Matter Scalar FieldDec 04 2007Dec 05 2007We investigate the static and spherically symmetric solutions of Einstein's equations for a scalar field with non-canonical kinetic term, assumed to provide both the dark matter and dark energy components of the Universe. In particular, we give a prescription ... More

CMB Anisotropies at Second-Order II: Analytical ApproachOct 04 2006Jan 30 2007We provide an analytical approach to the second-order Cosmic Microwave Background (CMB) anisotropies generated by the non-linear dynamics taking place at last scattering. We study the acoustic oscillations of the photon-baryon fluid in the tight coupling ... More

Phase transitions in Number Theory: from the Birthday Problem to Sidon SetsOct 12 2013In this work, we show how number theoretical problems can be fruitfully approached with the tools of statistical physics. We focus on g-Sidon sets, which describe sequences of integers whose pairwise sums are different, and propose a random decision problem ... More

The Extended Loop Representation of Quantum GravityJun 22 1994A new representation of Quantum Gravity is developed. This formulation is based on an extension of the group of loops. The enlarged group, that we call the Extended Loop Group, behaves locally as an infinite dimensional Lie group. Quantum Gravity can ... More

Perturbative Unitarity of Inflationary Models with FeaturesFeb 10 2014We consider the pertubative consistency of inflationary models with features with effective field theory methods. By estimating the size of one-loop contributions to the three-point function, we find the energy scale where their contribution is of the ... More

The Trispectrum in the Effective Theory of Inflation with Galilean symmetryMay 03 2013We calculate the trispectrum of curvature perturbations for a model of inflation endowed with Galilean symmetry at the level of the fluctuations around an FRW background. Such a model has been shown to posses desirable properties such as unitarity (up ... More

On the connection between fundamental groups and pencils with multiple fibersFeb 10 2010We present two results about the relationship between fundamental groups of quasiprojective manifolds and linear systems on a projectivization. We prove the existence of a plane curve with non-abelian fundamental group of the complement which does not ... More

A monoidal representation for linearized gravityDec 16 2016Jan 30 2017We propose an alternative representation for linear quantum gravity. It is based on the use of a structure that bears some resemblance to the Abelian loop representation used in electromagnetism but with the difference that space of extended object on ... More

The Origin of the Universe as Revealed Through the Polarization of the Cosmic Microwave BackgroundFeb 22 2009Modern cosmology has sharpened questions posed for millennia about the origin of our cosmic habitat. The age-old questions have been transformed into two pressing issues primed for attack in the coming decade: How did the Universe begin? and What physical ... More

Spontaneous autophoretic motion of isotropic particlesNov 29 2012Jun 27 2013Suspended colloidal particles interacting chemically with a solute are able to self-propel by autophoretic motion when they are asymmetrically patterned (Janus colloids). Here we demonstrate that the chemical anisotropy is not a necessary condition to ... More