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High-contrast imager for Complex Aperture Telescopes (HiCAT): 2. Design overview and first light resultsJul 03 2014We present a new high-contrast imaging testbed designed to provide complete solutions in wavefront sensing, control and starlight suppression with complex aperture telescopes. The testbed was designed to enable a wide range of studies of the effects of ... More

James Webb Space Telescope Optical Simulation Testbed I: Overview and First ResultsJul 02 2014The James Webb Space Telescope (JWST) Optical Simulation Testbed (JOST) is a tabletop workbench to study aspects of wavefront sensing and control for a segmented space telescope, including both commissioning and maintenance activities. JOST is complementary ... More

Capabilities of ACAD-OSM, an active method for the correction of aperture discontinuitiesOct 10 2017Nov 16 2017The increasing complexity of the aperture geometry of the future space- and ground based-telescopes will limit the performance of the next generation of coronagraphic instruments for high contrast imaging of exoplanets. We propose here a new closed-loop ... More

Ground state energy of the $δ$-Bose gas at weak coupling from double extrapolationOct 12 2016We consider the ground state energy $e(\gamma)$ of the $\delta$-Bose gas with repulsive interaction in the weak coupling regime $\gamma\to0$, where previous analytical studies gave the expansion $e(\gamma)\simeq\gamma-4\gamma^{3/2}/3\pi+(1/6-1/\pi^{2})\gamma^{2}$. ... More

Fabry-Perot Survey of Emission-Line GalaxiesJan 29 2002The recent results from a deep Fabry-Perot survey of nearby active and star-forming galaxies are presented. Line-emitting material is detected over two orders of magnitude in galactocentric radius, from the 100-pc scale of the active or starbursting nucleus ... More

The Starburst-AGN ConnectionDec 06 2000The issue of a starburst-AGN connection in local and distant galaxies is relevant for understanding galaxy formation and evolution, the star formation and metal enrichment history of the universe, the origin of the extragalactic background at low and ... More

Local Ultraluminous Infrared Galaxies and QuasarsMar 01 2006This paper reviews the recent results from a comprehensive investigation of the most luminous mergers in the local universe, the ultraluminous infrared galaxies (ULIRGs) and the quasars. First, the frequency of occurrence and importance of black hole ... More

Perturbations of C1-diffeomorphisms and dynamics of generic conservative diffeomorphisms of surfaceNov 21 2010In the first part of this text we give a survey of the properties satisfied by the C1-generic conservative diffeomorphisms of compact surfaces. The main result that we will discuss is that a C1-generic conservative diffeomorphism of a connected compact ... More

Fermi-LAT results on Galactic Plane gamma-ray Transient SourcesMay 01 2010The Large Area Telescope on the Fermi gamma-ray Space Telescope provides unprecedented sensitivity for all-sky monitoring of gamma-ray activity. It has detected a few Galactic sources, including 2 gamma-ray binaries and a microquasar. In addition, it ... More

Perturbation de la dynamique de difféomorphismes en topologie C^1 / Perturbation of the dynamics of diffeomorphisms in the C^1-topologyDec 15 2009Les travaux pr\'esent\'es dans ce m\'emoire portent sur la dynamique de diff\'eomorphismes de vari\'et\'es compactes. Pour l'\'etude des propri\'et\'es g\'en\'eriques ou pour la construction d'exemples, il est souvent utile de savoir perturber un syst\`eme. ... More

A combinatorial solution for the current fluctuations in the exclusion processApr 15 2009Jul 31 2009We conjecture an exact expression for the large deviation function of the stationary state current in the partially asymmetric exclusion process with periodic boundary conditions. This expression is checked for small systems using functional Bethe Ansatz. ... More

Choosing a penalty for model selection in heteroscedastic regressionDec 16 2008Jun 04 2010We consider the problem of choosing between several models in least-squares regression with heteroscedastic data. We prove that any penalization procedure is suboptimal when the penalty is a function of the dimension of the model, at least for some typical ... More

D3-branes in NS5-brane backgroundsJan 14 2003May 07 2003We study D3-branes in an NS5-branes background defined by an arbitrary 4d harmonic function. Using a gauge-invariant formulation of Born-Infeld dynamics as well as the supersymmetry condition, we find the general solution for the $\omega$-field. We propose ... More

Computation of the Central Charge for the Leading Order of the N=2 Super-Yang-Mills Effective ActionMay 26 1999The central charge in the N=2 Super-Yang-Mills theory plays an essential role in the work of Seiberg and Witten as it gives the mass spectrum of the BPS states of the quantum theory. Our aim in this note is to present a direct computation of this central ... More

Finiteness theorems for the Picard objects of an algebraic stackApr 07 2009Dec 16 2011We prove some finiteness theorems for the Picard functor of an algebraic stack, in the spirit of SGA 6, exp. XII and XIII. In particular, we give a stacky version of Raynaud's relative representability theorem, we give sufficient conditions for the existence ... More

Duality for commutative group stacksApr 01 2014Apr 09 2015We study in this article the dual of a (strictly) commutative group stack $G$ and give some applications. Using the Picard functor and the Picard stack of $G$, we first give some sufficient conditions for $G$ to be dualizable. Then, for an algebraic stack ... More

A JSJ splitting for triangulated open 3-manifoldsFeb 11 2008We give a sufficient condition for an open 3-manifold to admit a decomposition along properly embedded open annuli and tori, generalizing the toric splitting of Jaco-Shalen and Johannson.

Model selection by resampling penalizationJun 17 2009In this paper, a new family of resampling-based penalization procedures for model selection is defined in a general framework. It generalizes several methods, including Efron's bootstrap penalization and the leave-one-out penalization recently proposed ... More

Champs algébriques et foncteur de PicardAug 24 2008This text is my thesis, defended in June 2007, in the status it was at this time. The most important results are contained in the article "Foncteur de Picard d'un champ alg\'ebrique" to appear in "Mathematische Annalen" (see the preprint arXiv:0711.4545). ... More

Partial functional quantization and generalized bridgesJan 28 2011Sep 19 2012In this article, we develop a new approach to functional quantization, which consists in discretizing only a finite subset of the Karhunen-Lo\`eve coordinates of a continuous Gaussian semimartingale $X$. Using filtration enlargement techniques, we prove ... More

A fast nearest neighbor search algorithm based on vector quantizationMay 25 2011In this article, we propose a new fast nearest neighbor search algorithm, based on vector quantization. Like many other branch and bound search algorithms [1,10], a preprocessing recursively partitions the data set into disjointed subsets until the number ... More

Positive commutators, Fermi golden rule and the spectrum of zero temperature Pauli-Fierz HamiltoniansJun 24 2008Jul 08 2008We perform the spectral analysis of a zero temperature Pauli-Fierz system for small coupling constants. Under the hypothesis of Fermi golden rule, we show that the embedded eigenvalues of the uncoupled system disappear and establish a limiting absorption ... More

Discrete D-branes in AdS3 and in the 2d black holeDec 19 2005Aug 11 2006I show how the AdS2 D-branes in the Euclidean AdS3 string theory are related to the continuous D-branes in Liouville theory. I then propose new discrete D-branes in the Euclidean AdS3 which correspond to the discrete D-branes in Liouville theory. These ... More

On sl3 Knizhnik-Zamolodchikov equations and W3 null-vector equationsNov 27 2008Aug 31 2009Starting from Sklyanin's separation of variables for the sl3 Yangian model, we derive the separation of variables for the quantum sl3 Gaudin model. We use the resulting new variables for rewriting the sl3 Knizhnik-Zamolodchikov equations, and comparing ... More

Boundary three-point function on AdS2 D-branesAug 22 2007Jan 10 2008Using the H3+-Liouville relation, I explicitly compute the boundary three-point function on AdS2 D-branes in H3+, and check that it exhibits the expected symmetry properties and has the correct geometrical limit. I then find a simple relation between ... More

A Type System For Call-By-Name ExceptionsJul 12 2009Nov 02 2009We present an extension of System F with call-by-name exceptions. The type system is enriched with two syntactic constructs: a union type for programs whose execution may raise an exception at top level, and a corruption type for programs that may raise ... More

Substitutional Al solute interaction with edge and screw dislocation in Ni: a comparison between atomistic computation and continuum elastic theoryMar 03 2009Molecular static simulations have been performed to study the interaction between a single dislocation and a substitutional Al solute atom in a pure crystal of Ni. When the Al solute is situated at intermediate distance from the slip plane, we find that ... More

Microquasars and JetsJun 01 2005I present an overview of past, present and future research on microquasars and jets, showing that microquasars, i.e. galactic jet sources, are among the best laboratories for high energy phenomena. After remindind the analogy with quasars, I focus on ... More

Multi-wavelength observations of the microquasar XTE J1720-318: a transition from high-soft to low-hard stateNov 17 2006To gain a better understanding of high-energy Galactic sources, we observed the Galactic X-ray binary and black hole candidate XTE J1720-318 in the optical and near-infrared, just after the onset of its X-ray outburst in January, 2003. These observations ... More

The role of microquasars in astroparticle physicsJul 31 2006I present an overview of past, present and future research on microquasars and jets, showing that microquasars, i.e. galactic jet sources, are among the best laboratories for high energy phenomena and astroparticle physics. After reminding the analogy ... More

Tensor hierarchies and Lie $n$-extensions of Leibniz algebrasAug 23 2017Aug 16 2018A Lie $n$-extension of a Leibniz algebra is a particular Lie $n$-algebra that lifts the skew-symmetric part of the Leibniz product in a natural way. In the present paper, we use the relationship between Leibniz algebras and tensor hierarchies to provide ... More

Théorie des déformations équivariantes des morphismes localement d'intersection complèteOct 09 2003This is an expository paper on the subject of the title. It assumes basic scheme theory, commutative and homological algebra.

Demographic Prisoner's Dilemma : a probabilistic frameworkMay 02 2017We put a probabilistic framework on the Demographic Prisoner's Dilemma. In this model, cooperating and defecting individuals are placed on a torus to move and play prisoner's dilemma game, if they are on the same site. Each individual accumulates its ... More

Anomalous light-by-light scattering at the LHC: recent developments and future perspectivesMar 17 2015Apr 17 2015The installation of forward proton detectors at the LHC will provide the possibility to perform new high-precision measurements, opening a novel window on physics beyond the Standard Model. We review recent simulations and theoretical developments about ... More

Contact manifolds and Weinstein h-cobordismsOct 09 2014Dec 01 2014We prove that closed connected contact manifolds of dimension $\geq 5$ related by an h-cobordism with a flexible Weinstein structure become contactomorphic after some kind of stabilization. We also provide examples of non-conjugate contact structures ... More

New likelihoods for shape analysisJul 03 2014Mar 06 2015We introduce a new kind of likelihood function based on the sequence of moments of the data distribution. Both binned and unbinned data samples are discussed, and the multivariate case is also derived. Building on this approach we lay out the formalism ... More

Dynamics of $C^1$-diffeomorphisms: global description and prospects for classificationMay 01 2014We are interested in finding a dense part of the space of $C^1$-diffeomorphisms which decomposes into open subsets corresponding to different dynamical behaviors: we discuss results and questions in this direction. In particular we present recent results ... More

Probing the scale of New Physics at the LHC: the example of Higgs dataJul 01 2013Oct 23 2014We present a technique to determine the scale of New Physics (NP) compatible with any set of data, relying on well-defined credibility intervals. Our approach relies on the statistical view of the effective field theory capturing New Physics at low energy. ... More

Approximation of sequences of symmetric matrices with the symmetric rank-one algorithm and applicationsJun 26 2013The symmetric rank-one update method is well-known in optimization for its applications in the quasi-Newton algorithm. In particular, Conn, Gould, and Toint proved in 1991 that the matrix sequence resulting from this method approximates the Hessian of ... More

Spectrum of the totally asymmetric simple exclusion process on a periodic lattice - bulk eigenvaluesJun 10 2013Oct 01 2013We consider the totally asymmetric simple exclusion process (TASEP) on a periodic one-dimensional lattice of L sites. Using Bethe ansatz, we derive parametric formulas for the eigenvalues of its generator in the thermodynamic limit. This allows to study ... More

Freeze-Casting of Porous Ceramics: A Review of Current Achievements and IssuesOct 11 2017Freeze-casting, the templating of porous structure by the solidification of a solvent, have seen a great deal of efforts during the last few years. Of particular interest are the unique structure and properties exhibited by porous freeze-casted ceramics, ... More

Implicational Relevance Logic is 2-EXPTIME-CompleteFeb 04 2014Jun 19 2015We show that provability in the implicational fragment of relevance logic is complete for doubly exponential time, using reductions to and from coverability in branching vector addition systems.

Homometry in the light of coherent beamsMar 15 2013Mar 27 2013Two systems are homometric if they are indistinguishable by diffraction. We first make a distinction between Bragg and diffuse scattering homometry, and show that in the last case, coherent diffraction can allow the diffraction diagrams to be differentiated. ... More

Blockwise and coordinatewise thresholding to combine tests of different natures in modern ANOVAFeb 25 2013Apr 25 2013We derive new tests for fixed and random ANOVA based on a thresholded point estimate. The pivotal quantity is the threshold that sets all the coefficients of the null hypothesis to zero. Thresholding can be employed coordinatewise or blockwise, or both, ... More

Integrable models with twist function and affine Gaudin modelsSep 18 2018This thesis deals with a class of integrable field theories called models with twist function. The main examples of such models are integrable non-linear sigma models, such as the Principal Chiral Model, and their deformations. A first obtained result ... More

Bimodules over Hom-Jordan and Hom-alternative algebrasApr 03 2018In this paper, bimodules over Hom-Jordan algebras and the ones over Hom-alternative algebras are defined. It is shown that bimodules over Jordan and alternative algebras are twisted into bimodules over Hom-Jordan and Hom-alternative algebras via endomorphisms ... More

Some open 3-manifolds and 3-orbifolds without locally finite canonical decompositionsFeb 11 2008Feb 15 2008We give examples of open 3-manifolds and 3-orbifolds that exhibit pathological behavior with respect to splitting along surfaces (2-suborbifolds) with nonnegative Euler characteristic.

Proof of de Smit's conjecture: a freeness criterionJul 07 2016Jun 16 2017Let $A\to B$ be a morphism of Artin local rings with the same embedding dimension. We prove that any $A$-flat $B$-module is $B$-flat. This freeness criterion was conjectured by de Smit in 1997 and improves Diamond's Theorem 2.1 from his 1997 paper "The ... More

Reconstruction du squelette des courbes analytiquesApr 05 2019In this work we bring to light some anabelian behaviours of analytic curves in the setting of Berkovich geometry. We show more precisely that the knowledge of the tempered fundamental group of some curves that we call anabelian determines their analytic ... More

Hardy inequality and asymptotic eigenvalue distribution for discrete LaplaciansJun 03 2011Oct 25 2013In this paper we study in detail some spectral properties of the magnetic discrete Laplacian. We identify its form-domain, characterize the absence of essential spectrum and provide the asymptotic eigenvalue distribution.

Unboundedness of adjacency matrices of locally finite graphsOct 19 2009Mar 16 2010Given a locally finite simple graph so that its degree is not bounded, every self-adjoint realization of the adjacency matrix is unbounded from above. In this note we give an optimal condition to ensure it is also unbounded from below. We also consider ... More

AdS2 D-branes in AdS3 spacetimeJul 10 2002I review some recent progress in understanding the properties of AdS2 branes in AdS3. Different methods - classical string motion, Born-Infeld dynamics, boundary states - are evocated and compared.

The AGN Paradigm: Radio-Quiet ObjectsNov 11 2002The current paradigm for radio-quiet AGNs is reviewed, taking into account new results from recent large-scale surveys carried out from the ground and from space. Topics include structure of the central engine, AGN demography, fueling/triggering processes, ... More

Multi-wavelength study of High Mass X-ray BinariesAug 16 2010The INTEGRAL satellite has revealed a major population of supergiant High Mass X-ray Binaries in our Galaxy, revolutionizing our understanding of binary systems and their evolution. This population, constituted of a compact object orbiting around a massive ... More

High Energy Phenomena in Supergiant X-ray BinariesMay 12 2010The INTEGRAL satellite has revealed a major population of supergiant High Mass X-ray Binaries in our Galaxy, revolutionizing our understanding of binary systems and their evolution. This population, constituted of a compact object orbiting around a massive ... More

Nature, formation and evolution of High Mass X-ray BinariesJul 01 2011The aim of this review is to describe the nature, formation and evolution of the three kinds of high mass X-ray binary (HMXB) population: i. systems hosting Be stars (BeHMXBs), ii. systems accreting the stellar wind of supergiant stars (sgHMXBs), and ... More

Fermi-gst: A new view of the gamma-ray skyAug 24 2010The Large Area Telescope on the Fermi gamma-ray Space Telescope (FGST, ex-GLAST) provides unprecedented sensitivity for all-sky monitoring of gamma-ray activity. It is an adequate telescope to detect transient sources, since the observatory scans the ... More

An algorithmic classification of open surfacesSep 13 2012We propose a formulation for the homeomorphism problem for open n-dimensional manifolds and use the Kerekjarto classification theorem to solve this problem for n=2.

AGN Host GalaxiesJul 24 2008Jul 29 2008In this series of four lectures, I discuss four important aspects of AGN host galaxies. In Lecture #1, I address the starburst-AGN connection. First, I briefly review the primary diagnostic tools that are used to quantify and distinguish star formation ... More

Exploring a type-theoretic approach to accessibility constraint modellingMay 22 2008The type-theoretic modelling of DRT that [degroote06] proposed features continuations for the management of the context in which a clause has to be interpreted. This approach, while keeping the standard definitions of quantifier scope, translates the ... More

Obscured High Mass X-Ray Binaries and Supergiant Fast X-ray Transients: Infrared Observations of INTEGRAL SourcesMay 10 2008A new type of high-energy binary system has been revealed by the INTEGRAL satellite. These sources are being unveiled by means of multi-wavelength optical, near- and mid-infrared observations. Among these sources, two distinct classes are appearing: the ... More

Shining Light on Polarizable Dark ParticlesSep 06 2016We investigate the possibilities of searching for a self-conjugate polarizable particle in the self-interactions of light. We first remark that polarizability is described by dimension-6 operators if mediated by messenger states, but is described only ... More

Smooth blockwise iterative thresholding: a smooth fixed point estimator based on the likelihood's block gradientOct 05 2011The proposed smooth blockwise iterative thresholding estimator (SBITE) is a model selection technique defined as a fixed point reached by iterating a likelihood gradient-based thresholding function. The smooth James-Stein thresholding function has two ... More

Singular topologies in the Boulatov modelDec 13 2011Jun 28 2012Through the question of singular topologies in the Boulatov model, we illustrate and summarize some of the recent advances in Group Field Theory.

Realizing one-dimensional topological superfluids with ultracold atomic gasesOct 02 2012We propose an experimental implementation of a topological superfluid with ultracold fermionic atoms. An optical superlattice is used to juxtapose a 1D gas of fermionic atoms and a 2D conventional superfluid of condensed Feshbach molecules. The latter ... More

V-fold cross-validation improved: V-fold penalizationFeb 05 2008Feb 07 2008We study the efficiency of V-fold cross-validation (VFCV) for model selection from the non-asymptotic viewpoint, and suggest an improvement on it, which we call ``V-fold penalization''. Considering a particular (though simple) regression problem, we prove ... More

Lie $\infty$-algebroids and singular foliationsMar 21 2017Jul 19 2018A singular (or Hermann) foliation on a smooth manifold $M$ can be seen as a subsheaf of the sheaf $\mathfrak{X}$ of vector fields on $M$. We show that if this singular foliation admits a resolution (in the sense of sheaves) consisting of sections of a ... More

Perturbative solution for the spectral gap of the weakly asymmetric exclusion processMar 14 2017Jul 13 2017We consider the weakly asymmetric exclusion process with $N=L/2$ particles on a periodic lattice of $L$ sites, and hopping rates $1$ and $q=1-\mu/\sqrt{L}$ respectively in the forward and in the backward direction. Using Bethe ansatz, we obtain a systematic ... More

Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard latticeNov 15 2016Jan 25 2017We present numerical evidence that the spin-1/2 Heisenberg model on the two-dimensional checkerboard lattice exhibits several magnetization plateaux for m=0, 1/4, 1/2 and 3/4, where m is the magnetization normalized by its saturation value. These incompressible ... More

Minimal lectures on two-dimensional conformal field theorySep 29 2016Mar 13 2019We provide a brief but self-contained review of two-dimensional conformal field theory, from the basic principles to some of the simplest models. From the representations of the Virasoro algebra on the one hand, and the state-field correspondence on the ... More

On 2d CFTs that interpolate between minimal modelsSep 11 2018Dec 04 2018We investigate exactly solvable two-dimensional conformal field theories that exist at generic values of the central charge, and that interpolate between A-series or D-series minimal models. When the central charge becomes rational, correlation functions ... More

Sub-Riemannian Geometry and Geodesics in Banach ManifoldsJan 05 2016In this paper, we define and study sub-Riemannian structures on Banach manifolds. We obtain extensions of the Chow-Rashevski theorem for exact controllability, and give conditions for the existence of a Hamiltonian geodesic flow despite the lack of a ... More

A short guide through integration theorems of generalized distributionsOct 04 2017Aug 27 2018The generalization of Frobenius' theorem to foliations with singularities is usually attributed to Stefan and Sussmann, for their simultaneous discovery around 1973. However, their result is often referred to without caring much on the precise statement, ... More

Quelques calculs d'espaces $\R^i f_* G$ sur des courbesMar 31 2008Mar 17 2009We give some properties (cancellation, representability, stratification) of the sheaf R^i f_* G for an affine relative curve f:U -> S admitting a smooth compactification and G a solvable group.

On a compactification of a Hurwitz space in the wild caseSep 06 2005Let $g$ and $g'$ be two integers and $p$ a prime number. Denote by $\mathscr H_{g, g', p}^c$ the moduli space of morphisms of degree $p$ between smooth curves of genus $g$ and $g'$ and with constant ramification. The purpose of this article is to construct ... More

Galactic Winds: Near and FarSep 03 2003Sep 15 2003Multiwavelength data on star-forming galaxies provide strong evidence for large-scale galactic winds in both nearby and distant objects. The results from recent ground-based and space-borne programs are reviewed. The impact of these winds on the host ... More

Spectroscopic Diagnostics for AGNsJan 08 2002A review of the spectroscopic tools needed to characterize AGNs is presented. This review focusses on ultraviolet, optical and infrared emission-line diagnostics specifically designed to help differentiate AGNs from starburst-dominated galaxies. The strengths ... More

Multiwavelength Observations of Galactic Winds: Near and FarOct 20 2003This paper provides a critical discussion of the observational evidence for winds in our own Galaxy, in nearby star-forming and active galaxies, and in the high-redshift universe. The implications of galactic winds on the formation and evolution of galaxies ... More

How to reveal the mysteries of the most obscured high-energy sources of our Galaxy, discovered by INTEGRAL?Oct 01 2007A new type of high-energy binary systems has been revealed by the INTEGRAL satellite. These sources are in the course of being unveiled by means of multi-wavelength optical, near- and mid-infrared observations. Among these sources, two distinct classes ... More

Numerical Contractor Renormalization applied to strongly correlated systemsOct 28 2005We demonstrate the utility of effective Hamilonians for studying strongly correlated systems, such as quantum spin systems. After defining local relevant degrees of freedom, the numerical Contractor Renormalization (CORE) method is applied in two steps: ... More

Tree structures for the current fluctuations in the exclusion processNov 18 2009Feb 22 2010We consider the asymmetric simple exclusion process on a ring, with an arbitrary asymmetry between the hopping rates of the particles. Using a functional formulation of the Bethe equations of the model, we derive exact expressions for all the cumulants ... More

Ground state energy of the $δ$-Bose gas at weak coupling from double extrapolationOct 12 2016Nov 04 2016We consider the ground state energy $e(\gamma)$ of the $\delta$-Bose gas with repulsive interaction in the weak coupling regime $\gamma\to0$, where previous studies gave the expansion $e(\gamma)\simeq\gamma-4\gamma^{3/2}/3\pi+(1/6-1/\pi^{2})\gamma^{2}$. ... More

A family of solvable non-rational conformal field theoriesMar 14 2008May 23 2008We find non-rational conformal field theories in two dimensions, which are solvable due to their correlators being related to correlators of Liouville theory. Their symmetry algebra consists of the dimension-two stress-energy tensor, and two dimension-one ... More

Minimal lectures on two-dimensional conformal field theorySep 29 2016We provide a brief but self-contained review of conformal field theory on the Riemann sphere. We first introduce general axioms such as local conformal invariance, and derive Ward identities and BPZ equations. We then define Liouville theory and minimal ... More

Cordes et D-branes dans les espaces-temps courbesSep 30 2003Oct 10 2003This thesis is devoted to the construction and study of D-branes in some curved space-times in string theory. On the one hand, those D-branes are described geometrically as submanifolds subject to Born-Infeld effective dynamics. On the other hand, they ... More

On the instability of eigenvaluesJan 05 2011This is the proceeding of a talk given in Workshop on Differential Geometry and its applications at Alexandru Ioan Cuza University Ia\c{s}i, Romania, September 2--4, 2009. I explain how positive commutator estimates help in the analysis of embedded eigenvalues ... More

The Nyström method for functional quantization with an application to the fractional Brownian motionSep 07 2010In this article, the so-called "Nystr\"om method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion by approximating the first terms of its Karhunen-Lo\`eve ... More

A Simplicial Approach to Stratified Homotopy TheoryJan 15 2018In this article we consider the homotopy theory of stratified spaces through a simplicial point of view. We first consider a model category of filtered simplicial sets over some fixed poset $P$, and show that it is a simplicial combinatorial model category. ... More

Model selection by resampling penalizationJan 19 2007Jan 22 2007We present a new family of model selection algorithms based on the resampling heuristics. It can be used in several frameworks, do not require any knowledge about the unknown law of the data, and may be seen as a generalization of local Rademacher complexities ... More

Espace de modules des courbes hyperelliptiques stables et une inégalité de Cornalba-Harris-XiaoJul 03 2001Mar 21 2002In this paper, we show an inequality between the degrees of the conductor and the Hodge fiber of a hyperelliptic curve above a discrete valuation ring. For that we have to show theorems about the lifting of $p$-cyclic covers in order to obtain informations ... More

Aller-retour vers l'inseparableSep 14 2009We construct inseparable morphisms between curves of genus $\ge 2$ that are degenerations of separable morphisms.

Déformations équivariantes des courbes stables I : Étude cohomologiqueOct 09 2003Let $k$ be a field, $C\to \Spec k$ be a stable curve and let $G$ be a finite group acting faithfully on the curve $C\to \Spec k$. In this article, we compute the vector space $\Ext^1_G(\Omega_{C/k}, \O_C)$, the sheaf $\Omega_{C/k}$ being the sheaf of ... More

Deformation of a Half-Space from Anelastic Strain Confined in a Tetrahedral VolumeFeb 18 2018Jun 26 2018Deformation in the lithosphere-asthenosphere system can be accommodated by faulting and plastic flow. However, incorporating structural data in models of distributed deformation still represents a challenge. Here, I present solutions for the displacements ... More

Asymptotics for the norm of Bethe eigenstates in the periodic totally asymmetric exclusion processNov 25 2014Mar 16 2015The normalization of Bethe eigenstates for the totally asymmetric simple exclusion process on a ring of $L$ sites is studied, in the large $L$ limit with finite density of particles, for all the eigenstates responsible for the relaxation to the stationary ... More

Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binariesNov 15 2014Jan 23 2015We investigate cubic-in-spin effects for inspiralling compact objects binaries, both in the dynamics and the energy flux emitted in gravitational waves, at the leading post-Newtonian order. We use a Lagrangian formalism to implement finite-size effects, ... More

Ground state energy of the $δ$-Bose and Fermi gas at weak coupling from double extrapolationOct 12 2016Jan 05 2017We consider the ground state energy of the Lieb-Liniger gas with $\delta$ interaction in the weak coupling regime $\gamma\to0$. For bosons with repulsive interaction, previous studies gave the expansion $e_{\text{B}}(\gamma)\simeq\gamma-4\gamma^{3/2}/3\pi+(1/6-1/\pi^{2})\gamma^{2}$. ... More

Spatialized Evolutionary prisoner's dilemma: Homogenization and propagation of chaosSep 16 2016Sep 21 2016Epstein introduced an agent-based model called Demographic Prisoner's dilemma. He shows, via simulations, that cooperation in this spatial evolutionary repeated game can be sustained. In order to do proves, we put on this model a particle system framework ... More

Shining Light on Polarizable Dark ParticlesSep 06 2016Apr 09 2017We investigate the possibilities of searching for a self-conjugate polarizable particle in the self-interactions of light. We first observe that polarizability can arise either from the exchange of mediator states or as a consequence of the inner structure ... More

Discrete Renormalization Group for SU(2) Tensorial Group Field TheoryJul 17 2014Nov 20 2014This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th] (Commun. Math. Phys. 330, 581-637). It is a rank-3 model based on the gauge group SU(2), and as such ... More

On the uniqueness of solutions for the Fubuki gameSep 10 2013We discuss the problem of uniqueness of solutions for the Fubuki game when the diagonal is prescribed.