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Adaptive Filtering Multiple Testing Procedures for Partial Conjunction HypothesesOct 11 2016The partial conjunction (PC) alternative hypothesis $H^{r/n}_1$ stipulates that at least $r$ of $n$ related basic hypotheses are non-null, making it a useful measure of replicability. Motivated by genomic problems we consider a setting with a large number ... More

Rejoinder: "Gene Hunting with Hidden Markov Model Knockoffs"Mar 13 2019In this paper we deepen and enlarge the reflection on the possible advantages of a knockoff approach to genome wide association studies (Sesia et al., 2018), starting from the discussions in Bottolo & Richardson (2019); Jewell & Witten (2019); Rosenblatt ... More

Reconstructing DNA copy number by joint segmentation of multiple sequencesFeb 22 2012Mar 14 2012The variation in DNA copy number carries information on the modalities of genome evolution and misregulation of DNA replication in cancer cells; its study can be helpful to localize tumor suppressor genes, distinguish different populations of cancerous ... More

Reconstructing DNA copy number by penalized estimation and imputationJun 12 2009Jan 10 2011Recent advances in genomics have underscored the surprising ubiquity of DNA copy number variation (CNV). Fortunately, modern genotyping platforms also detect CNVs with fairly high reliability. Hidden Markov models and algorithms have played a dominant ... More

Testing hypotheses on a tree: new error rates and controlling strategiesMay 22 2017Oct 23 2018We introduce a multiple testing procedure (TreeBH) which addresses the challenge of controlling error rates at multiple levels of resolution. Conceptually, we frame this problem as the selection of hypotheses which are organized hierarchically in a tree ... More

Many Phenotypes without Many False Discoveries: Error Controlling Strategies for Multi-Traits Association StudiesApr 02 2015The genetic basis of multiple phenotypes such as gene expression, metabolite levels, or imaging features is often investigated by testing a large collection of hypotheses, probing the existence of association between each of the traits and hundreds of ... More

Sparse regulatory networksNov 08 2010In many organisms the expression levels of each gene are controlled by the activation levels of known "Transcription Factors" (TF). A problem of considerable interest is that of estimating the "Transcription Regulation Networks" (TRN) relating the TFs ... More

SLOPE - Adaptive variable selection via convex optimizationJul 14 2014Nov 04 2015We introduce a new estimator for the vector of coefficients $\beta$ in the linear model $y=X\beta+z$, where $X$ has dimensions $n\times p$ with $p$ possibly larger than $n$. SLOPE, short for Sorted L-One Penalized Estimation, is the solution to \[\min_{b\in\mathbb{R}^p}\frac{1}{2}\Vert ... More

Triplet seesaw model: from inflation to asymmetric dark matter and leptogenesisSep 06 2012The nature of dark matter (DM) particles and the mechanism that provides their measured relic abundance are currently unknown. Likewise, the nature of the inflaton is unknown as well. We investigate the triplet seesaw model in an unified picture. At high ... More

Dynamics in the complex bidiscFeb 02 2004Jun 29 2004Let Delta^{n} be the unit polydisc in C^{n} and let f be a holomorphic self map of Delta^{n}. When n=1, it is well known, by Schwarz's lemma, that f has at most one fixed point in the unit disc. If no such point exists then f has a unique boundary point, ... More

Some remarks on moduli spaces of lattice polarized holomorphic symplectic manifoldsDec 07 2015We construct quasi-projective moduli spaces of $K$-general lattice polarized irreducible holomorphic symplectic manifolds. Moreover, we study their Baily--Borel compactification and investigate a relation between one-dimensional boundary components and ... More

Lectures on Deformation quantization of Poisson manifoldsJul 13 2012Jul 18 2012These notes are based on the course given at the School of Geometry, University Kasdi Merbah (Ouargla) 2012. The aim of the course was the deformation quantization of Poisson Lie groups. In these notes we only review Kontsevich's formality theorem.

Poisson ReductionJun 20 2011Oct 09 2013In this paper we develope a theory of reduction for classical systems with Poisson Lie groups symmetries using the notion of momentum map introduced by Lu. The local description of Poisson manifolds and Poisson Lie groups and the properties of Lu's momentum ... More

The role of galaxy formation in the structure and dynamics of dark matter halosFeb 19 2009The structure and dynamics of dark matter halos, as predicted by the hierarchical clustering scenario, are at odds with the properties inferred from the observations at galactic scales. My Thesis addresses this problem by taking an evolutionary approach. ... More

Sequential order under CHJan 06 2010Revisiting and completing a work due to A. I. Ba\v{s}kirov, we construct compact sequential spaces of any sequential order up to and including $\omega_1$ as quotient spaces of $\beta\omega$ under CH.

Conformal blocks attached to twisted groupsJul 14 2017The aim of this paper is to generalize the notion of conformal blocks to the situation in which the Lie algebra they are attached to is not defined over a field, but depends on covering data of curves. The result will be a sheaf of conformal blocks on ... More

A Bernoulli problem with non constant gradient boundary constraintSep 07 2010We present in this paper a result about existence and convexity of solutions to a free boundary problem of Bernoulli type, with non constant gradient boundary constraint depending on the outer unit normal. In particular we prove that, in the convex case, ... More

On the classical and quantum momentum mapMar 19 2012In this thesis we study the classical and quantum momentum maps and the theory of reduction. We focus on the notion of momentum map in Poisson geometry and we discuss the classification of the momentum map in this framework. Furthermore, we describe the ... More

Semiclassical limit to the Vlasov equation with inverse power law potentialsMar 14 2019We consider mixed quasi-free states describing $N$ fermions in the mean-field limit. In this regime, the time evolution is governed by the nonlinear Hartree equation. In the large $N$ limit, we study the convergence towards the classical Vlasov equation. ... More

Quantization of Poisson-Hamiltonian systemsFeb 26 2015In this paper we introduce the concept of Hamiltonian system in the canonical and Poisson settings. We will discuss the quantization of the Hamiltonian systems in the Poisson context, using formal deformation quantization and quantum group theories.

Chasing a consistent picture for dark matter direct searchesOct 15 2012Nov 29 2012In this paper we assess the present status of dark matter direct searches by means of Bayesian statistics. We consider three particle physics models for spin-independent dark matter interaction with nuclei: elastic, inelastic and isospin violating scattering. ... More

The metallicity bimodality of globular cluster systems: a test of galaxy assembly and of the evolution of the galaxy mass-metallicity relationNov 07 2012(Abridged) We build a theoretical model to study the origin of the globular cluster metallicity bimodality in the hierarchical galaxy assembly scenario, based on the observed galaxy mass-[O/H] relation and the galaxy stellar mass function up to z ~4, ... More

Mean-field evolution of fermions with singular interactionJan 09 2018We consider a system of N fermions in the mean-field regime interacting though an inverse power law potential $V(x)=1/|x|^{\alpha}$, for $\alpha\in(0,1]$. We prove the convergence of a solution of the many-body Schr\"{o}dinger equation to a solution of ... More

Busemann Functions and Julia-Wolff-Caratheodory Theorem for PolydiscsFeb 20 2007The classical Julia-Wolff-Caratheodory Theorem is one of the main tools to study the boundary behavior of holomorphic self-maps of the unit disc of $\C$. In this paper we prove a Julia-Wolff-Caratheodory's type theorem in the case of the polydisc of $\C^n.$ ... More

Bayes and present dark matter direct search statusOct 03 2011Recently there has been a huge activity in the dark matter direct detection field, with the report of an excess from CoGeNT and CRESST along with the annual modulated signal of DAMA/Libra and the strong exclusion bound from XENON100. We analyse these ... More

Bayesian analysis of multiple direct detection experimentsOct 21 2013Mar 04 2014Bayesian methods offer a coherent and efficient framework for implementing uncertainties into induction problems. In this article, we review how this approach applies to the analysis of dark matter direct detection experiments. In particular we discuss ... More

Constructor Theory of ThermodynamicsJul 21 2016Sep 04 2016The laws of thermodynamics, powerful for countless purposes, are not exact: both their phenomenological and their statistical-mechanical versions are valid only at 'macroscopic scales', which are never defined. Here I propose a new, exact and scale-independent ... More

Lattice polarized irreducible holomorphic symplectic manifoldsDec 11 2013We generalize Nikulin's and Dolgachev's lattice-theoretical mirror symmetry for K3 surfaces to lattice polarized higher dimensional irreducible holomorphic symplectic manifolds. In the case of fourfolds of $K3^{\left[2\right]}-$type we then describe mirror ... More

Optimal estimation of multiple phasesApr 18 2003We study the issue of simultaneous estimation of several phase shifts induced by commuting operators on a quantum state. We derive the optimal positive operator-valued measure corresponding to the multiple-phase estimation. In particular, we discuss the ... More

On the analytical convergence of the QPA procedureJul 27 1998We present an analytical proof of the convergence of the ``quantum privacy amplification'' procedure proposed by D. Deutsch et al. [Phys. Rev. Lett. 77, 2818 (1996)]. The proof specifies the range of states which can be purified by this method.

A general approach to systems with randomly pinned particles: unfolding and clarifying the Random Pinning Glass TransitionNov 16 2012Pinning a fraction of particles from an equilibrium configuration in supercooled liquids has been recently proposed as a way to induce a new kind of glass transition, the Random Pinning Glass Transition (RPGT). The RPGT has been predicted to share some ... More

Reconciling dark matter and neutrino masses in mSUGRAMay 14 2009We study the minimal SUGRA phenomenology in the case of an alternative seesaw mechanism for generating neutrino masses. Changes in the neutrino sector lead to a modification of the supersymmetric particle spectrum and the sneutrino naturally arises as ... More

Sneutrino cold dark matter in extended MSSM modelsMay 14 2008A thorough analysis of sneutrinos as dark matter candidates is performed, in different classes of supersymmetric models, as is typically done for the neutralino dark matter. First in the Minimal Supersymmetric Standard Model, sneutrinos are marginally ... More

Understanding corrosion inhibition with van der Waals DFT methods: the case of benzotriazoleAug 05 2015The corrosion of materials is an undesirable and costly process affecting many areas of technology and everyday life. As such, considerable effort has gone into understanding and preventing it. Organic molecule based coatings can in certain circumstances ... More

Geometrical aspects of expansions in complex basesMay 22 2011We study the set of the representable numbers in base $q=pe^{i\frac{2\pi}{n}}$ with $\rho>1$ and $n\in \mathbb N$ and with digits in a arbitrary finite real alphabet $A$. We give a geometrical description of the convex hull of the representable numbers ... More

Gravitational wave production: A strong constraint on primordial magnetic fieldsJun 13 2001Oct 01 2001We compute the gravity waves induced by anisotropic stresses of stochastic primordial magnetic fields. The nucleosynthesis bound on gravity waves is then used to derive a limit on the magnetic field amplitude as function of the spectral index. The obtained ... More

Adding helicity to inflationary magnetogenesisJul 10 2014Nov 19 2014The most studied mechanism of inflationary magnetogenesis relies on the time-dependence of the coefficient of the gauge kinetic term $F_{\mu\nu}\,{F}^{\mu\nu}$. Unfortunately, only extremely finely tuned versions of the model can consistently generate ... More

Fluctuations and Shape of Cooperative Rearranging Regions in Glass-Forming LiquidsNov 17 2014We develop a theory of amorphous interfaces in glass-forming liquids. We show that the statistical properties of these surfaces, which separate regions characterized by different amorphous arrangements of particles, coincide with the ones of domain walls ... More

A note on an overdetermined problem for the capacitary potentialJan 11 2016We consider an overdetermined problem arising in potential theory for the capacitary potential and we prove a radial symmetry result.

Inverse-Compton drag on a Highly Magnetized GRB jet in Stellar EnvelopeMar 19 2015Jan 11 2016The collimation and evolution of relativistic outflows in $\gamma$-ray bursts (GRBs) are determined by their interaction with the stellar envelope through which they travel before reaching the much larger distance where the energy is dissipated and $\gamma$-rays ... More

An adaptive sequential optimum design for model selection and parameter estimation in non-linear nested modelsJul 26 2011Dec 20 2011This paper has been withdrawn by the author because it has been substantially modified.

Complex dynamics in a nerve fiber model with periodic coefficientsAug 17 2007We deal with the periodic boundary value problem for a second-order nonlinear ODE which includes the case of the Nagumo type equation $v_{xx} - g v + n(x) F(v) = 0,$ previously considered by Grindrod and Sleeman and by Chen and Bell in the study of nerve ... More

Z production via Vector Boson Fusion at LHCJan 25 2010The production of Z bosons via Vector Boson Fusion at the LHC collider at 10 TeV centre-of-mass energy has been studied. The aim is to investigate the possibility to isolate a known Standard Model process to be used as reference for the measurement of ... More

A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functionsApr 13 2016We give a simple proof of a general theorem of Kotake-Narasimhan for elliptic operators in the setting of ultradifferentiable functions in the sense of Braun, Meise and Taylor. We follow the ideas of Komatsu. Based on an example of Metivier, we also show ... More

Rigidity of infinitesimal momentum mapsOct 20 2014Sep 11 2015In this paper we prove rigidity theorems for Poisson Lie group actions on Poisson manifolds. In particular, we prove that close infinitesimal momentum maps associated to Poisson Lie group actions are equivalent using a normal form theorem for SCI spaces. ... More

Stackable vs Autonomous Cars for Shared Mobility Systems: a Preliminary Performance EvaluationSep 27 2017Car sharing is one of the key elements of a Mobility-on-Demand system, but it still suffers from several shortcomings, the most significant of which is the fleet unbalance during the day. What is typically observed in car sharing systems, in fact, is ... More

Gravitational waves from stochastic relativistic sources: primordial turbulence and magnetic fieldsMar 17 2006Sep 15 2006The power spectrum of a homogeneous and isotropic stochastic variable, characterized by a finite correlation length, does in general not vanish on scales larger than the correlation scale. If the variable is a divergence free vector field, we demonstrate ... More

Theoretical investigation of two- and three-body short range correlations in inclusive electron scattering off nuclei at high momentum transferMar 12 2010The effects of short range correlations (SRC) in inclusive (A(e,e')X) and exclusive (A(e,e'N)X and A(e,e'2N)X) are reviewed. A new approach to the analysis of inclusive cross sections is illustrated, based upon the introduction of proper scaling functions ... More

Simulating the Bullet ClusterNov 06 2007We present high resolution N-body/SPH simulations of the interacting cluster 1E0657-56. The main and the sub-cluster are modeled using extended cuspy LCDM dark matter halos and isothermal beta-profiles for the collisional component. The hot gas is initially ... More

Minimum-weight codewords of the Hermitian codes are supported on complete intersectionsMay 25 2016Let $\mathcal{H}$ be the Hermitian curve defined over a finite field $\mathbb{F}_{q^2}$. Aim of the present paper is to complete the geometrical characterization of the supports of the minimum-weight codewords of the algebraic-geometry codes over H, started ... More

Random Pinning Glass Transition: Hallmarks, Mean-Field Theory and Renormalization Group AnalysisOct 31 2012We present a detailed analysis of glass transitions induced by pinning particles at random from an equilibrium configuration. We first develop a mean-field analysis based on the study of p-spin spherical disordered models and then obtain the three dimensional ... More

Fine-tuning in the rotation curves of spirals and the uniqueness of their mass modellingNov 25 2004We construct a generic mass model of a disk galaxy by combining the usual two mass components, an exponential thin stellar disk and a dark halo for which we alternatively assume one of the two most common mass distributions. We construct its generic rotation ... More

First Principle Computation of Random Pinning Glass Transition, Glass Cooperative Length-Scales and Numerical ComparisonsMar 27 2014Oct 12 2015As a guideline for experimental tests of the ideal glass transition (Random Pinning Glass Transition, RPGT) that shall be induced in a system by randomly pinning particles, we performed first-principle computations within the Hypernetted chain approximation ... More

Optimal cloning for two pairs of orthogonal statesOct 16 2001We study the optimal cloning transformation for two pairs of orthogonal states of two-dimensional quantum systems, and derive the corresponding optimal fidelities.

Spectral weight redistribution in strongly correlated bosons in optical latticesJan 30 2008We calculate the single-particle spectral function for the one-band Bose-Hubbard model within the random phase approximation (RPA). In the strongly correlated superfluid, in addition to the gapless phonon excitations, we find extra gapped modes which ... More

Distributed First Order LogicJul 28 2015Distributed First Order Logic (DFOL) is a formalism introduced more than 10 years ago with the purpose of formalising distributed knowledge-based systems. In these systems, knowledge is scattered in a set of heterogeneous and intercon- nected modules. ... More

Stochastic Duality and Orthogonal PolynomialsJan 31 2017For a series of Markov processes we prove stochastic duality relations with duality functions given by orthogonal polynomials. This means that expectations with respect to the original process (which evolves the variable of the orthogonal polynomial) ... More

Higher-order parabolic equations with VMO assumptions and general boundary conditions with variable leading coefficientsSep 11 2017Dec 14 2018We prove weighted mixed $L_{p}(L_{q})$-estimates, with $p,q\in(1,\infty)$, for higher-order elliptic and parabolic equations on the half space $\mathbb{R}^{d+1}_{+}$ and on domains with general boundary conditions which satisfy the Lopatinskii--Shapiro ... More

On the non-BPS first order flow in N=2 U(1)-gauged SupergravityNov 08 2012Apr 08 2013We consider theories of N=2 supergravity with Fayet-Iliopoulos gauging, and describe a procedure to obtain non-BPS extremal black hole solutions in asymptotically AdS_4 space, in a fully symplectic covariant framework. By considering both electric as ... More

Self-regulation promotes cooperation in social networksJul 20 2018Cooperative behavior in real social dilemmas is often perceived as a phenomenon emerging from norms and punishment. To overcome this paradigm, we highlight the interplay between the influence of social networks on individuals, and the activation of spontaneous ... More

A sharp Rogers-Shephard type inequality for the p-difference body of a planar convex bodyFeb 05 2007We prove a sharp Rogers-Shephard type inequality for the p-difference body of a convex body in the two-dimensional case, for every p greater than or equal to one.

The projective model structure on contractionsMar 09 2017We prove that the projective model structure on the category of unbounded cochain complexes extends naturally to the category of contractions. The proof is completely elementary and we do not assume familiarity with model categories.

Evolution families and maximal regularity for systems of parabolic equationsOct 26 2015Jul 07 2016In this paper we prove maximal $L^p$-regularity for a system of parabolic PDEs, where the elliptic operator $A$ has coefficients which depend on time in a measurable way and are continuous in the space variable. The proof is based on operator-theoretic ... More

Uniqueness of the Momentum mapAug 07 2012Mar 25 2013We give a detailed discussion about existence and uniqueness of Lu's momentum map. More precisely, we introduce the infinitesimal momentum map, and we study its properties. This allows us to describe the theory of reconstruction of the momentum map from ... More

Multiplicity of periodic solutions for differential equations arising in the study of a nerve fiber modelJul 03 2006We deal with the periodic boundary value problem for a second-order nonlinear ODE which includes the case of the Nagumo type equation $v_{xx} - g v + n(x) F(v) = 0,$ previously considered by Grindrod and Sleeman and by Chen and Bell in the study of the ... More

A class of differential quadratic algebras and their symmetriesJan 09 2017May 08 2017We study a multi-parametric family of quadratic algebras in four generators, which includes coordinate algebras of noncommutative four-planes and, as quotient algebras, noncommutative three spheres. Particular subfamilies comprise Sklyanin algebras and ... More

Constraining early and interacting dark energy with gravitational wave standard sirens: the potential of the eLISA missionJul 29 2016We perform a forecast analysis of the capability of the eLISA space-based interferometer to constrain models of early and interacting dark energy using gravitational wave standard sirens. We employ simulated catalogues of standard sirens given by merging ... More

Aging and relaxation near Random Pinning Glass TransitionsDec 17 2011Pinning particles at random in supercooled liquids is a promising route to make substantial progress on the glass transition problem. Here we develop a mean-field theory by studying the equilibrium and non-equilibrium dynamics of the spherical p-spin ... More

Ideal Glass Transitions by Random PinningJun 27 2011Jul 15 2011We study the effect of freezing the positions of a fraction $c$ of particles from an equilibrium configuration of a supercooled liquid at a temperature $T$. We show that within the Random First-Order Transition theory pinning particles leads to an ideal ... More

Hermitian codes and complete intersectionsOct 13 2015In this paper we present a geometrical characterization for the minimum-weight codewords of the Hermitian codes over the fields F_{q^2} in the third and fourth phase, namely with distance d \geq q^2-q. We consider the unique writing mu q + lambda (q+1) ... More

CMB temperature anisotropy at large scales induced by a causal primordial magnetic fieldApr 08 2010Jun 03 2010We present an analytical derivation of the Sachs Wolfe effect sourced by a primordial magnetic field. In order to consistently specify the initial conditions, we assume that the magnetic field is generated by a causal process, namely a first order phase ... More

Dilaton Gravity and No-Hair Theorem in Two DimensionsApr 10 1992We study a general class of two-dimensional theories of the dilaton-gravity type inspired by string theory and show that they admit charged multiple-horizon black holes. These solutions are proved to satisfy scalar no-hair theorems.

Gamma-ray observations of blazars and the intergalactic magnetic field spectrumApr 01 2015Very-high energy observations of blazars can be used to constrain the strength of the intergalactic magnetic field. A simplifying assumption which is often made is that of a magnetic field of constant strength composed by randomly oriented and identical ... More

Peierls Distortion and Quantum SolitonsMay 01 2012May 04 2012Peierls distortion and quantum solitons are two hallmarks of 1-dimensional condensed-matter systems. Here we propose a quantum model for a one-dimensional system of non-linearly interacting electrons and phonons, where the phonons are represented via ... More

Entanglement detection by Bragg scatteringMar 01 2013May 16 2013We show how to measure the structural witnesses proposed in [P. Krammer et al., Phys. Rev. Lett. 103, 100502 (2009)] for detecting entanglement in a spin chain using photon scattering. The procedure, moreover, allows one to measure the two-point correlation ... More

Detection of Pair-Superfluidity for bosonic mixtures in optical latticesDec 22 2009We consider a mixture of two bosonic species with tunable interspecies interaction in a periodic potential and discuss the advantages of low filling factors on the detection of the pair-superfluid phase. We show how the emergence of such a phase can be ... More

Molecules and dust in Cassiopeia A: II - Dust sputtering and diagnosis of dust survival in supernova remnantsNov 17 2015Mar 02 2016We study the dust evolution in the supernova remnant Cassiopeia A. We follow the processing of dust grains that formed in the Type II-b supernova by modelling the sputtering of grains. The dust is located in dense ejecta clumps crossed by the reverse ... More

Molecules and dust in Cas A: I - Synthesis in the supernova phase and processing by the reverse shock in the clumpy remnantJan 22 2014Aims: We study the chemistry of the Type IIb supernova ejecta that led to the Cas A supernova remnant to assess the chemical type and quantity of dust that forms and evolves in the remnant phase. We later model a dense oxygen-rich ejecta knot that is ... More

The contribution of NLO and LPM corrections to thermal dilepton emission in heavy ion collisionsAug 27 2015Recently lots of efforts have been made to obtain the next to leading order and Landau-Pomeranchuk-Migdal corrections to the thermal dilepton emission rate in perturbative QCD. Here we apply these results to the plasma created in heavy ion collisions ... More

Abstract approach to non homogeneous Harnack inequality in doubling quasi metric spacesSep 12 2017We develop an abstract theory to obtain Harnack inequality for non homogeneous PDEs in the setting of quasi metric spaces. The main idea is to adapt the notion of double ball and critical density property given by Di Fazio, Guti\'errez, Lanconelli, taking ... More

Internal observability of the wave equation in tiled domainsNov 27 2018We investigate the internal observability of the wave equation with Dirichlet boundary conditions in tilings. The paper includes a general result relating internal observability problems in general domains to their tiles, and a discussion of the case ... More

Probing supermassive black hole mergers and stalling with pulsar timing arraysJan 21 2019The observation of gravitational-waves from merging supermassive black holes will be transformative: the detection of a low-frequency gravitational-wave background can tell us if and how supermassive black holes merge, inform our knowledge of galaxy merger ... More

Wave equations on graded groups and hypoelliptic Gevrey spacesApr 09 2018Apr 11 2018The overall goal of this dissertation is to investigate certain classical results from harmonic analysis, replacing the Euclidean setting, the abelian structure and the elliptic Laplace operator with a non-commutative environment and hypoelliptic operators. ... More

Heat Kernel estimates for some elliptic operators with unbounded diffusion coefficientsJan 20 2011We prove heat kernel bounds for the operator (1 + |x|^{\alpha})\Delta in R^N, through Nash inequalities and weighted Hardy inequalities.

Maximal regularity for non-autonomous equations with measurable dependence on timeOct 23 2014Sep 09 2016In this paper we study maximal $L^p$-regularity for evolution equations with time-dependent operators $A$. We merely assume a measurable dependence on time. In the first part of the paper we present a new sufficient condition for the $L^p$-boundedness ... More

Inflationary magnetogenesis with added helicity: constraints from non-gaussianitiesJul 31 2017Jun 08 2018In previous work, two of us have proposed a model of inflationary magnetogenesis based on a rolling auxiliary field able both to account for the magnetic fields inferred by the (non) observation of gamma-rays from blazars, and to start the galactic dynamo, ... More

Sneutrino cold dark matter, a new analysis: relic abundance and detection ratesSep 27 2007We perform a new and updated analysis of sneutrinos as dark matter candidates, in different classes of supersymmetric models. We extend previous analyses by studying sneutrino phenomenology for full variations of the supersymmetric parameters which define ... More

Collective oscillations of a 1D trapped Bose gasJan 10 2002Starting from the hydrodynamic equations of superfluids, we calculate the frequencies of the collective oscillations of a harmonically trapped Bose gas for various 1D configurations. These include the mean field regime described by Gross-Pitaevskii theory ... More

The origin and evolution of the odd-Z iron-peak elements Sc, V, Mn, and Co in the Milky Way stellar diskFeb 04 2015Mar 25 2015AIMS: The aim of this study is to investigate the origin and evolution of Sc, V, Mn, and Co for a homogeneous and statistically significant sample of stars probing the different populations of the Milky Way, in particular the thin and thick disks. METHODS: ... More

The origin and evolution of r- and s-process elements in the Milky Way stellar diskNov 03 2015Nov 04 2015Knowledge of abundance ratios as functions of metallicity can lead to insights on the origin and evolution of our Galaxy and its stellar populations. We aim to trace the chemical evolution of the neutron-capture elements Sr, Zr, La, Ce, Nd, Sm, and Eu ... More

Finite group discretization of Yang-Mills and Einstein actionsSep 20 2001Discrete versions of the Yang-Mills and Einstein actions are proposed for any finite group. These actions are invariant respectively under local gauge transformations, and under the analogues of Lorentz and general coordinate transformations. The case ... More

Ultra-cold dipolar gasesNov 21 2007We present a concise review of the physics of ultra-cold dipolar gases, based mainly on the theoretical developments in our own group. First, we discuss shortly weakly interacting ultra-cold trapped dipolar gases. Dipolar Bose-Einstein condensates exhibit ... More

Optimal sets for a class of minimization problems with convex constraintsDec 21 2010We look for the minimizers of the functional $\jla{\la}(\oo)=\la|\oo|-P(\oo)$ among planar convex domains constrained to lie into a given ring. We prove that, according to the values of the parameter $\la$, the solutions are either a disc or a polygon. ... More

Evolution without evolution, and without ambiguitiesOct 15 2016In quantum theory it is possible to explain time, and dynamics, in terms of entanglement. This is the timeless approach to time, which assumes that the universe is in a stationary state, where two non-interacting subsystems, the clock and the rest, are ... More

Primordial Magnetic Fields and CausalityMay 05 2003Oct 29 2003We discuss the implications of causality on a primordial magnetic field. We show that the residual field on large scales is much more suppressed than usually assumed and that a helical component is even more reduced. Due to this strong suppression, even ... More

Evolution without evolution, and without ambiguitiesOct 15 2016Oct 22 2016In quantum theory it is possible to explain time, and dynamics, in terms of entanglement. This is the timeless approach to time, which assumes that the universe is in a stationary state, where two non-interacting subsystems, the clock and the rest, are ... More

Elliptic operators with unbounded diffusion coefficients in Lp spacesSep 08 2010In this paper we prove that, under suitable assumptions on {\alpha} > 0, the operator L = (1 + |x|{\alpha})\Delta admits realizations generating contraction or analytic semigroups in Lp (RN). For some values of {\alpha}, we also explicitly characterize ... More

The potential-energy tensors for subsystems. IV. Homeoidally striated density profiles with a central cuspSep 18 2002A general theory of homeoidally striated density profiles where no divergence occurs, is adapted to cuspy density profiles, with a suitable choice of the scaling density and the scaling radius. A general formulation of some physical parameters, such as ... More

Higher Hamming weights for locally recoverable codes on algebraic curvesMay 19 2015Nov 30 2015We study the locally recoverable codes on algebraic curves. In the first part of this article, we provide a bound of generalized Hamming weight of these codes. Whereas in the second part, we propose a new family of algebraic geometric LRC codes, that ... More

On the geometry of small weight codewords of dual algebraic geometric codesApr 07 2011We investigate the geometry of the support of small weight codewords of dual algebraic geometric codes on smooth complete intersections by applying the powerful tools recently developed by Alain Couvreur. In particular, by restricting ourselves to the ... More