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Complete families of smooth space curves and strong semistabilityNov 21 2013Mar 27 2018We construct the first non-trivial examples of complete families of non-degenerate smooth space curves, and show that the base of such a family cannot be a rational curve. Both results rely on the study of the strong semistability of certain vector bundles. ... More

Construction de courbes sur les surfaces K3 [d'après Bogomolov-Hassett-Tschinkel, Charles, Li-Liedtke, Madapusi Pera, Maulik...]Dec 22 2014Dec 23 2014We report on recent results concerning the construction of curves on K3 surfaces: the proof of the Tate conjecture for K3 surfaces in odd characteristic (after Maulik, Charles and Madapusi Pera), and the construction of infinitely many rational curves ... More

Classifying conformally invariant loop measuresAug 13 2016We formulate a classification conjecture for conformally invariant families of measures on simple loops that builds on a conjecture of Kontsevich and Suhov. The main example in this class of objects was constructed by Werner as boundaries of Brownian ... More

Réduction stable en dimension supérieure [d'après Kollár, Hacon-Xu...]Apr 06 2019The moduli space of stable curves of Deligne and Mumford is a compactification of the moduli space of smooth curves of genus >=2 that parametrizes certain nodal curves. It is a powerful tool for the study of algebraic curves. Higher-dimensional analogues ... More

A new method to assign galaxy cluster membership using photometric redshiftsJun 28 2016Jul 07 2016We introduce a new effective strategy to assign group and cluster membership probabilities $P_{mem}$ to galaxies using photometric redshift information. Large dynamical ranges both in halo mass and cosmic time are considered. The method takes the magnitude ... More

Effective equidistribution of S-integral points on symmetric varietiesJun 12 2007Let K be a global field of characteristic not 2. Let Z be a symmetric variety defined over K and S a finite set of places of K. We obtain counting and equidistribution results for the S-integral points of Z. Our results are effective when K is a number ... More

The scaling limit of critical Ising interfaces is CLE(3)Apr 24 2016Jul 21 2018In this paper, we consider the set of interfaces between + and - spins arising for the critical planar Ising model on a domain with + boundary conditions, and show that it converges towards CLE(3). Our proof relies on the study of the coupling between ... More

Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zeroFeb 06 2018Mar 21 2018We prove that the product of an Enriques surface and a very general curve of genus at least 1 does not satisfy the integral Hodge conjecture for 1-cycles. This provides the first examples of smooth projective complex threefolds of Kodaira dimension zero ... More

Quantum non demolition measurements: parameter estimation for mixtures of multinomialsJul 19 2017In Quantum Non Demolition measurements, the sequence of observations is distributed as a mixture of multinomial random variables. Parameters of the dynamics are naturally encoded into this family of distributions. We show the local asymptotic mixed normality ... More

Semiabelian varieties over separably closed fields, maximal divisible subgroups, and exact sequencesApr 14 2009Jun 24 2014Given a separably closed field K of positive characteristic and finite degree of imperfection we study the # functor which takes a semiabelian variety G over K to the maximal divisible subgroup #G of G(K). We show that the # functor need not preserve ... More

Galaxy Alignments as a Probe of the Dynamical State of ClustersMay 13 2003We present indications, based on a sample of 303 Abell clusters, for a relation between the dynamical state of clusters and the alignments of galaxy members with their parent cluster major axis orientation as well as with the large scale environment within ... More

On function field Mordell-Lang: the semiabelian case and the socle theoremFeb 08 2017Aug 01 2017We here aim to complete our model-theoretic account of the function field Mordell-Lang conjecture, avoiding appeal to dichotomy theorems for Zariski geometries, where we now consider the general case of semiabelian varieties. The main result is a reduction, ... More

Dynamical state and star formation properties of the merging galaxy cluster Abell 3921Sep 03 2004We present the results of a new spectroscopic and photometric survey of the central region of the galaxy cluster A3921 (z=0.094). We detect the presence of two dominant clumps of galaxies: a main cluster centred on the BCG (A3921-A), and a NW sub-cluster ... More

Multiple merging events in Abell 521Nov 27 2002We present a detailed spatial and dynamical analysis of the central $\sim$~2.2~\h~Mpc region of the galaxy cluster Abell~521 (z=0.247), based on 238 spectra obtained at the 3.6~m Telescope of ESO and at the CFHT. From the analysis of the 125 galaxies ... More

Is the Universe a fractal? Results from the SSRS2Apr 08 1998We perform a fractal analysis of the Southern Sky Redshift Survey 2, following the methods prescribed by Pietronero and collaborators, to check their claim that the galaxy distribution is fractal at all scales, and we discuss and explain the reasons of ... More

Building a Sample of Distant Clusters of GalaxiesDec 03 1999Candidate clusters of galaxies drawn from the sample identified from the moderately deep I-band data of the ESO Imaging Survey (EIS), have been used for follow-up optical/infrared imaging and spectroscopic observations. The observations were conducted ... More

Multi-object spectroscopy of low-redshift EIS clusters IV. Reliability of matched-filter results at z~0.3-0.4Sep 26 2008abridged) In this paper we present new redshifts for 747 galaxies in 23 ESO Imaging Survey (EIS) cluster fields. We use the "gap"-technique to search for significant overdensities in redshift space for identifying groups/clusters of galaxies. In this ... More

The period-index problem for real surfacesApr 10 2018May 15 2019We study when the period and the index of a class in the Brauer group of the function field of a real algebraic surface coincide. We prove that it is always the case if the surface has no real points (more generally, if the class vanishes in restriction ... More

Positive Harmonic Functions on the Heisenberg group IJul 11 2019We present the classification of positive harmonic functions on the Heisenberg group in the case of the southwest measure.

Le théorème de Bertini en familleNov 05 2009We give upper bounds for the dimension of the set of hypersurfaces of $\mathbb{P}^N$ whose intersection with a fixed integral projective variety is not integral. Our upper bounds are optimal. As an application, we construct, when possible, hypersurfaces ... More

Complete families of smooth space curves and strong semistabilityNov 21 2013We study complete families of non-degenerate smooth space curves, that is proper subvarieties of the Hilbert scheme of non-degenerate smooth curves in P^3. On the one hand, we construct the first examples of such families. Our examples parametrize curves ... More

Quelques espaces de modules d'intersections complètes lisses qui sont quasi-projectifsNov 07 2011Sep 10 2012For some values of the degrees of the equations, we show, using geometric invariant theory, that the coarse moduli space of smooth complete intersections in P^N is quasi-projective. ----- Pour certaines valeurs des degres des equations, on montre, a l'aide ... More

Séparation et propriété de Deligne-Mumford des champs de modules d'intersections complètes lissesNov 07 2011Sep 10 2012We show that the moduli stacks of smooth complete intersections in P^N polarized by O(1) are separated (except for quadrics) and Deligne-Mumford (apart from a few exceptions). ----- On montre que les champs de modules d'intersections completes lisses ... More

On the birational geometry of the parameter space for codimension 2 complete intersectionsDec 19 2012Codimension 2 complete intersections in P^N have a natural parameter space \bar{H}: a projective bundle over a projective space given by the choice of the lower degree equation and of the higher degree equation up to a multiple of the first. Motivated ... More

The period-index problem for real surfacesApr 10 2018We study when the period and the index of a class in the Brauer group of the function field of a real algebraic surface coincide. We prove that it is always the case if the surface has no real points (more generally, if the class vanishes in restriction ... More

On Hilbert's 17th problem in low degreeFeb 23 2016Artin solved Hilbert's 17th problem, proving that a real polynomial in $n$ variables that is positive semidefinite is a sum of squares of rational functions, and Pfister showed that only $2^n$ squares are needed. In this paper, we investigate situations ... More

Natural parametrization of SLE: the Gaussian free field point of viewAug 12 2017We provide another construction of the natural parametrization of SLE$_\kappa$ for $\kappa < 4$. We construct it as the expectation of the quantum time, which is a random measure carried by SLE in an ambient Gaussian free field. This quantum time was ... More

On Hilbert's 17th problem in low degreeFeb 23 2016Jul 03 2017Artin solved Hilbert's 17th problem, proving that a real polynomial in $n$ variables that is positive semidefinite is a sum of squares of rational functions, and Pfister showed that only $2^n$ squares are needed. In this paper, we investigate situations ... More

Sums of three squares and Noether-Lefschetz lociJun 07 2017Dec 18 2017We show that the set of real polynomials in two variables that are sums of three squares of rational functions is dense in the set of those that are positive semidefinite. We also prove that the set of real surfaces in P^3 whose function field has level ... More

Sums of squares in function fields over Henselian local fieldsMay 28 2019We give upper bounds for the level and the Pythagoras number of function fields over fraction fields of integral Henselian excellent local rings. In particular, we show that the Pythagoras number of $\mathbb{R}((x_1,\dots,x_n))$ is $\leq 2^{n-1}$, which ... More

Degrés d'homogénéité de l'ensemble des intersections complètes singulièresSep 03 2010Sep 10 2012A classical result of Boole shows that, in characteristic 0, the set of singular degree d hypersurfaces in P^N is a divisor of degree (N+1)(d-1)^N in the projective space of all hypersurfaces. We give here analogous formulae for complete intersections ... More

Quasi-projectivity of normal varietiesDec 05 2011Sep 10 2012We prove that a normal variety contains finitely many maximal quasi-projective open subvarieties. As a corollary, we obtain the following generalization of the Chevalley-Kleiman projectivity criterion : a normal variety is quasi-projective if and only ... More

Detection of diffuse radio emission in the galaxy clusters A800, A910, A1550, and CL1446+26Jul 12 2012Radio halos are elusive sources located at the center of merging galaxy clusters. To date, only about 40 radio halos are known, thus the discovery of new halos provide important insights on this class of sources. To improve the statistics of radio halos, ... More

Properties of Very Luminous GalaxiesMar 04 1998Recent analysis of the SSRS2 data based on cell-counts and two-point correlation function has shown that very luminous galaxies are much more strongly clustered than fainter galaxies. In fact, the amplitude of the correlation function of very luminous ... More

Biasing and high-order statistics from the SSRS2Sep 07 1998We analyze different volume-limited samples extracted from the Southern Sky Redshift Survey (SSRS2), using counts-in-cells to compute the Count Probability Distribution Function (CPDF).From the CPDF we derive volume-averaged correlation functions to fourth ... More

Biasing in the Galaxy DistributionMay 20 1996We investigate the variation of galaxy clustering with luminosity using the recently completed SSRS2 sample. Clustering measurements based on the two-point correlation function and the variance of counts in cells reveal the existence of a strong dependence ... More

Multi-object spectroscopy of low redshift EIS clusters. III. Properties of optically selected clustersFeb 25 2005We have carried out an investigation of the properties of low redshift EIS clusters using both spectroscopy and imaging data. We present new redshifts for 738 galaxies in 21 ESO Imaging Survey (EIS) Cluster fields. We use the ``gap''-technique to search ... More

Molecular gas in radio galaxies in dense Mpc-scale environments at $z=0.4-2.6$Dec 25 2018Feb 07 2019We investigate the role of dense Mpc-scale environment in processing molecular gas in distant Low luminosity radio galaxies (LLRGs) in galaxy (proto-)clusters. We have selected within the COSMOS and DES surveys a sample of five LLRGs at $z=0.4-2.6$ that ... More

Molecular gas in radio galaxies at $z=0.4-2.6$ in (proto-)cluster environmentSep 25 2018Nov 01 2018We investigate the role of the environment in processing molecular gas in radio galaxies (RGs). We observed five RGs at $z=0.4-2.6$ in dense Mpc-scale environment with the IRAM-30m telescope. We set four upper-limits and report a tentative CO(7$\rightarrow$6) ... More

Multi-object spectroscopy of low redshift EIS clusters. IIAug 01 2003We present the results of carrying out multi-object spectroscopy in 10 EIS cluster fields. Based on the list of 345 galaxy redshifts we identify significant 3D-density enhancements. For 9 of the EIS clusters we identify significant 3D-concentrations corresponding ... More

Intracluster light in clusters of galaxies at redshifts 0.4<z<0.8Sep 19 2011The study of intracluster light can help us to understand the mechanisms taking place in galaxy clusters, and to place constraints on the cluster formation history and physical properties. However, owing to the intrinsic faintness of ICL emission, most ... More

Galaxy clusters in the CFHTLS. First matched filter candidate catalogue of the Deep fieldsSep 29 2006We apply a matched-filter cluster detection algorithm to the Canada-France-Hawaii Telescope Legacy Survey (CFHTLS) i-band data for the Deep-1, Deep-2, Deep-3 and Deep-4 fields covering a total of 4square degrees. To test the implemented procedure we carry ... More

Merging history of three bimodal clustersSep 10 2010We present a combined X-ray and optical analysis of three bimodal galaxy clusters selected as merging candidates at z ~ 0.1. These targets are part of MUSIC (MUlti--Wavelength Sample of Interacting Clusters), which is a general project designed to study ... More

Temperedness of reductive homogeneous spacesNov 06 2012Nov 11 2013Let G be a semisimple algebraic Lie group and H a reductive subgroup. We find geometrically the best even integer p for which the representation of G in L^2(G/H) is almost L^{p}. As an application, we give a criterion which detects whether this representation ... More

The tight approximation propertyJul 25 2019This article introduces and studies the tight approximation property, a property of algebraic varieties defined over the function field of a complex or real curve that refines the weak approximation property (and the known cohomological obstructions to ... More

On bipartite unitary matrices generating subalgebra-preserving quantum operationsAug 20 2016Sep 01 2016We study the structure of bipartite unitary operators which generate via the Stinespring dilation theorem, quantum operations preserving some given matrix algebra, independently of the ancilla state. We characterize completely the unitary operators preserving ... More

Large Time Behaviour and Convergence Rate for Non Demolition Quantum TrajectoriesJun 06 2013A quantum system S undergoing continuous time measurement is usually described by a jump-diffusion stochastic differential equation. Such an equation is called a stochastic master equation and its solution is called a quantum trajectory. This solution ... More

On the integral Hodge conjecture for real varieties, IIJan 03 2018May 11 2019We establish the real integral Hodge conjecture for 1-cycles on various classes of uniruled threefolds (conic bundles, Fano threefolds with no real point, some del Pezzo fibrations) and on conic bundles over higher-dimensional bases which themselves satisfy ... More

Recurrence on Affine GrassmanniansMar 31 2017We study the action of the affine group $G$ of $\mathbb{R}^d$ on the space $X_{k,\,d}$ of $k$-dimensional affine subspaces. Given a compactly-supported Zariski dense probability measure $\mu$ on $G$, we show that $X_{k,\,d}$ supports a $\mu$-stationary ... More

Star formation in the merging galaxy cluster Abell 3921Oct 04 2005Through a combined optical and radio analysis, we have investigated the possible connection between the dynamical state of the merging cluster A3921 and its star formation properties, reaching the conclusion that the on-going merger is triggering a SF ... More

Blockmodels: A R-package for estimating in Latent Block Model and Stochastic Block Model, with various probability functions, with or without covariatesFeb 24 2016Analysis of the topology of a graph, regular or bipartite one, can be done by clustering for regular ones or co-clustering for bipartite ones. The Stochastic Block Model and the Latent Block Model are two models, which are very similar for respectively ... More

Geodesic planes in geometrically finite acylindrical 3-manifoldsFeb 13 2018Let $M$ be a geometrically finite acylindrical hyperbolic 3-manifold and let $M^*$ denote the interior of the convex core of M. We show that any geodesic plane in $M^*$ is either closed or dense, and that there are only countably many closed geodesic ... More

Harmonic quasi-isometric maps II : negatively curved manifoldsFeb 14 2017Jun 06 2018We prove that a quasi-isometric map, and more generally a coarse embedding, between pinched Hadamard manifolds is within bounded distance from a unique harmonic map.

The Clemens-Griffiths method over non-closed fieldsMar 19 2019We use the Clemens-Griffiths method to construct smooth projective threefolds, over any field $k$ admitting a separable quadratic extension, that are $k$-unirational and $\overline{k}$-rational but not $k$-rational. When $k=\mathbb{R}$, we can moreover ... More

Critical Fields of mesoscopic superconductorsNov 21 1996Recent measurements have shown oscillations in the upper critical field of simply connected mesoscopic superconductors. A quantitative theory of these effects is given here on the basis of a Ginzburg-Landau description. For small fields, the $H-T$ phase ... More

The scaling limit of critical Ising interfaces is CLE(3)Apr 24 2016May 10 2016In this paper, we consider the set of interfaces between + and - spins arising for the critical planar Ising model on a domain with + boundary conditions, and show that it converges towards CLE(3). Our proof relies on the study of the coupling between ... More

Quasiisometric harmonic maps between rank one symmetric spacesAug 26 2015We prove that a quasiisometric map between rank one symmetric spaces is within bounded distance from a unique harmonic map. In particular, this completes the proof of the Schoen-Li-Wang conjecture.

On the integral Hodge conjecture for real varieties, IJan 03 2018May 11 2019We formulate the "real integral Hodge conjecture", a version of the integral Hodge conjecture for real varieties, and raise the question of its validity for cycles of dimension 1 on uniruled and Calabi-Yau threefolds and on rationally connected varieties. ... More

Arithmeticity of discrete subgroups containing horospherical latticesApr 30 2018Let $G$ be a semisimple real algebraic Lie group of real rank at least two and $U$ be the unipotent radical of a non-trivial parabolic subgroup. We prove that a discrete Zariski dense subgroup of $G$ that contains an irreducible lattice of $U$ is an arithmetic ... More

An SLE$_2$ loop measureMay 30 2014May 05 2015There is an essentially unique way to associate to any Riemann surface a measure on its simple loops, such that the collection of measures satisfy a strong conformal invariance property. Wendelin Werner constructed these random simple loops as boundaries ... More

Galaxy formation history through hod model from euclid mock catalogsSep 29 2015Halo Occupation Distribution (HOD) is a model giving the average number of galaxies in a dark matter halo, function of its mass and other intrinsic properties, like distance from halo center, luminosity and redshift of its constituting galaxies. It is ... More

Polar decomposition for p-adic symmetric spacesDec 12 2006Let G be the group of k-points of a connected reductive k-group and H a symmetric subgroup associated to an involution s of G. We prove a polar decomposition G=KAH for the symmetric space G/H over any local field k of characteristic not 2. Here K is a ... More

Tempered homogeneous spacesJun 30 2017Let $G$ be a semisimple real Lie group with finite center and $H$ a connected closed subgroup. We establish a geometric criterion which detects whether the representation of $G$ in $L^2(G/H)$ is tempered.

A new method to assign galaxy cluster membership using photometric redshiftsJun 28 2016Oct 05 2016We introduce a new effective strategy to assign group and cluster membership probabilities $P_{mem}$ to galaxies using photometric redshift information. Large dynamical ranges both in halo mass and cosmic time are considered. The method takes the magnitude ... More

New spectroscopic confirmations of high-redshift galaxy clustersSep 02 2005Sep 05 2005We present new spectroscopic data in the field of five high-redshift (z>=0.6) candidate galaxy clusters, drawn from the EIS Cluster Candidate Catalog. A total of 327 spectra were obtained using FORS1 at the VLT, out of which 266 are galaxies with secure ... More

A spectral gap theorem in simple Lie groupsMay 08 2014We establish the spectral gap property for dense subgroups generated by algebraic elements in any compact simple Lie group, generalizing earlier results of Bourgain and Gamburd for unitary groups.

ESO Imaging Survey: infrared observations of CDF-S and HDF-SFeb 23 2006This paper presents infrared data obtained from observations carried out at the ESO 3.5m New Technology Telescope (NTT) of the Hubble Deep Field South (HDF-S) and the Chandra Deep Field South (CDF-S). These data were taken as part of the ESO Imaging Survey ... More

Central limit theorem for linear groupsMar 30 2016We prove a central limit theorem for random walks with finite variance on linear groups.

A2163: Merger events in the hottest Abell galaxy cluster I. Dynamical analysis from optical dataDec 17 2007We present a detailed optical analysis of the galaxy cluster A2163 based on new multicolor wide field imaging and medium-to-high resolution (R~2000) spectroscopy. While X-ray observations have revealed that merging processes are present in this cluster, ... More

ESO Imaging survey: Optical Deep Public SurveyAug 27 2006Oct 23 2006This paper presents new five passbands (UBVRI) optical wide-field imaging data accumulated as part of the DEEP Public Survey (DPS) carried out as a public survey by the ESO Imaging Survey (EIS) project. Out of the 3 square degrees originally proposed, ... More

Optically-selected clusters at 0.8 < z < 1.3 in the EIS Cluster SurveyJun 03 2002This paper presents preliminary results of a spectroscopic survey being conducted at the VLT of fields with optically-selected cluster candidates identified in the EIS I-band survey. Here we report our findings for three candidates selected for having ... More

Spectroscopic confirmation of clusters from the ESO imaging surveyMay 26 2000We measure redshifts for 67 galaxies in the field of six cluster candidates from the ESO Imaging Survey (EIS). The cluster candidates are selected in the EIS patches C and D among those with estimated mean redshifts between 0.5 and 0.7. The observations ... More

A2163: Merger events in the hottest Abell galaxy cluster II. Subcluster accretion with galaxy-gas separationNov 13 2010Located at z = 0.203, A2163 is a rich galaxy cluster with an intra-cluster medium (ICM) that exhibits extraordinary properties, including an exceptionally high X-ray luminosity, average temperature, and a powerful and extended radio halo. The irregular ... More

The XMM-LSS survey: the Class 1 cluster sample over the extended 11 deg$^2$ and its spatial distributionAug 27 2014This paper presents 52 X-ray bright galaxy clusters selected within the 11 deg$^2$ XMM-LSS survey. 51 of them have spectroscopic redshifts ($0.05<z<1.06$), one is identified at $z_{\rm phot}=1.9$, and all together make the high-purity "Class 1" (C1) cluster ... More

X-ray absorption and resonant inelastic x-ray scattering in the rare earthsMar 07 1997This paper makes a comparison between x-ray absorption (XAS) and resonant inelastic x-ray scattering (RIXS) in the rare earths. Atomic calculations are given for 2p -> 4f and 2p -> 5d XAS. The latter calculation includes the contraction and expansion ... More

The First VLT FORS1 spectra of Lyman-break candidates in the HDF-S and AXAF Deep FieldApr 15 2000We report on low-resolution multi-object spectroscopy of 30 faint targets (R \~ 24-25) in the HDF-S and AXAF deep field obtained with the VLT Focal Reducer/low dispersion Spectrograph (FORS1). Eight high-redshift galaxies with 2.75< z < 4 have been identified. ... More

ESO Imaging Survey: Past Activities and Future ProspectsDec 10 1999The ESO Imaging Survey (EIS) is an ongoing project to carry out public imaging surveys to support programs on the ESO Very Large Telescope (VLT). The first phase of the project started in July 1997 and consisted of a moderately deep, large-area survey ... More

The origin of X-ray emission of two distant (z>1) cluster candidate with XMM-NewtonApr 23 2003We present here a study of XMM-Newton data of two distant galaxy cluster candidates. One of these was discovered serendipitously in near infrared data, CL J0533-2411, the other one corresponds to the cluster EIS J0533-2412 part of the EIS cluster survey. ... More

On the Nature of the EIS Candidate Clusters: Confirmation of z<0.6 candidatesOct 21 2001We use public V-band imaging data from the wide-angle surveys conducted by the ESO Imaging Survey project (EIS) to further investigate the nature of the EIS galaxy cluster candidates. These were originally identified by applying a matched-filter algorithm ... More

ESO Imaging Survey VII. Distant Cluster Candidates over 12 square degreesJul 31 1998In this paper the list of candidate clusters identified from the I-band data of the ESO Imaging Survey (EIS) is completed using the images obtained over a total area of about 12 square degrees. Together with the data reported earlier the total I-band ... More

ESO Imaging Survey: Infrared Deep Public SurveyJul 03 2006This paper presents new J and Ks data obtained from observations conducted at the ESO 3.5m New Technology Telescope using the SOFI camera. These data were taken as part of the ESO Imaging Survey Deep Public Survey (DPS) and significantly extend the earlier ... More

ESO Imaging Survey: Optical follow-up of 12 selected XMM-Newton fieldsOct 07 2005(Abridged) This paper presents the data recently released for the XMM-Newton/WFI survey carried out as part of the ESO Imaging Survey (EIS) project. The aim of this survey is to provide optical imaging follow-up data in BVRI for identification of serendipitously ... More

Band structure and atomic sum rules for x-ray dichroismJul 06 2000Corrections to the atomic orbital sum rule for circular magnetic x-ray dichroism in solids are derived using orthonormal LMTOs as a single-particle basis for electron band states.

Iterated Stochastic MeasurementsOct 01 2012We describe a measurement device principle based on discrete iterations of Bayesian updating of system state probability distributions. Although purely classical by nature, these measurements are accompanied with a progressive collapse of the system state ... More

Conformal invariance of crossing probabilities for the Ising model with free boundary conditionsOct 14 2014May 10 2016We prove that crossing probabilities for the critical planar Ising model with free boundary conditions are conformally invariant in the scaling limit, a phenomenon first investigated numerically by Langlands, Lewis and Saint-Aubin. We do so by establishing ... More

Near-critical spanning forests and renormalizationMar 27 2015Nov 16 2016We study random two-dimensional spanning forests in the plane that can be viewed both in the discrete case and in their scaling limit as slight perturbations of an uniformly chosen spanning tree. We show how to relate this scaling limit to a stationary ... More

Control of fluctuations and heavy tails for heat variation in the two-time measurement frameworkFeb 06 2018Oct 15 2018We study heat fluctuations in the two-time measurement framework. For bounded perturbations, we give sufficient ultraviolet regularity conditions on the perturbation for the moments of the heat variation to be uniformly bounded in time, and for the Fourier ... More

Energy statistics in open harmonic networksMay 10 2017We relate the large time asymptotics of the energy statistics in open harmonic networks to the variance-gamma distribution and prove a full Large Deviation Principle. We consider both Hamiltonian and stochastic dynamics, the later case including electronic ... More

Repeated quantum non-demolition measurements: convergence and continuous-time limitJun 26 2012We analyze general enough models of repeated indirect measurements in which a quantum system interacts repeatedly with randomly chosen probes on which Von Neumann direct measurements are performed. We prove, under suitable hypotheses, that the system ... More

ESO Imaging Survey. Deep Public Survey: Multi-Color Optical Data for the Chandra Deep Field SouthMar 05 2001Sep 28 2001This paper presents multi-passband optical data obtained from observations of the Chandra Deep Field South (CDF-S), located at alpha ~ 3h 32m, delta ~ -27d 48m. The observations were conducted at the ESO/MPG 2.2m telescope at La Silla using the 8kx8k ... More

The XXL Survey VII: A supercluster of galaxies at z=0.43Dec 14 2015The XXL Survey is the largest homogeneous and contiguous survey carried out with XMM-Newton. Covering an area of 50 square degrees distributed over two fields, it primarily investigates the large-scale structures of the Universe using the distribution ... More

The XXL Survey XXVIII. Galaxy luminosity functions of the XXL-N clustersJul 09 2018Jul 10 2018The main goal of this study is to investigate the LF of a sample of 142 X-ray selected clusters, with spectroscopic redshift confirmation and a well defined selection function, spanning a wide redshift and mass range, and to test the LF dependence on ... More

Control of fluctuations and heavy tails for heat variation in the two-time measurement frameworkFeb 06 2018We study heat fluctuations in the two-time measurement framework. For bounded perturbations, we give sufficient ultraviolet regularity conditions on the perturbation for the moments of the heat variation to be uniformly bounded in time, and for the Fourier ... More

On function field Mordell-Lang and Manin-MumfordApr 27 2014Dec 03 2015We present a reduction of the function field Mordell-Lang conjecture to the function field Manin-Mumford conjecture, in all characteristics, via model theory, but avoiding recourse to the dichotomy theorems for (generalized) Zariski structures. In this ... More

Heat conservation and fluctuations for open quantum systems in the Two-Time Measurement pictureOct 23 2018This work concerns the statistics of the Two-Time Measurement definition of heat variation in each thermal bath of a thermodynamic quantum system. We study the cumulant generating function of the heat flows in the thermodynamic and large-time limits. ... More

Exponential Stability of Subspaces for Quantum Stochastic Master EquationsDec 02 2015We study the stabilisation of quantum system on a subspace through reservoir engi- neering provided the system is continuously monitored. We show that the target subspace is almost surely invariant if and only if it is invariant for the average evolution. ... More

Near-critical spanning forests and renormalizationMar 27 2015We study random two-dimensional spanning forests in the plane that can be viewed both in the discrete case and in their scaling limit as slight perturbations of an uniformly chosen spanning tree. We show how to relate this scaling limit to a stationary ... More

Near-critical spanning forests and renormalizationMar 27 2015Jul 11 2018We study random two-dimensional spanning forests in the plane that can be viewed both in the discrete case and in their appropriately taken scaling limits as a uniformly chosen spanning tree with some Poissonian deletion of edges or points. We show how ... More

Exponential Stability of Subspaces for Quantum Stochastic Master EquationsDec 02 2015Jan 17 2017We study the stability of quantum pure states and, more generally, subspaces for stochastic dynamics that describe continuously--monitored systems. We show that the target subspace is almost surely invariant if and only if it is invariant for the average ... More

ESO Imaging Survey. The Stellar Catalogue in the Chandra Deep Field SouthMay 29 2002(abridged) Stellar catalogues in five passbands (UBVRI) over an area of approximately 0.3 deg^2, comprising about 1200 objects, and in seven passbands (UBVRIJK) over approximately 0.1 deg^2, comprising about 400 objects, in the direction of the Chandra ... More