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 Cours
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The
                                                          expanding
                                                          universe
                                                          (cosmology
                                                          basics) -
                                                          Cristiano
                                                          PORCIANI ![]() Introduction to Gravitational Lensing (Basics and History) - Joachim WAMBSGANSS  ![]() The large-scale structure of the universe - Joachim WAMBSGANSS  ![]() Microlensing of distant Quasars - Joachim WAMBSGANSS  ![]() Weak lensing: techniques and cosmological applications - David BACON  ![]() Weak Lensing and dark energy - Tom KITCHING  ![]() Weak lensing by large-scale structures: theory - Cristiano PORCIANI  ![]() Mass sub-structures in galaxies constrained via lensing - Leon KOOPMANS  ![]() Lensing Constraints on Galaxy Cluster Mass and Structure - Graham SMITH  ![]() Weak lensing studies of dark matter halos around galaxies - Henk HOEKSTRA  ![]() Quasar Absorbers and Lensing - Céline PEROUX  ![]() Search for the First galaxies - Roser PELLO  ![]() Strong lensing as a probe of the high redshift Universe - Jean-Paul KNEIB  ![]() Spatially resolved studies of lensed galaxies - Johan RICHARD  ![]() A kind of "Hands-on" Workshop: How to calculate Quasar Microlensing - Joachim WAMBSGANSS  ![]()  | 
                    
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                         A brief
                                      history of gravitational lensing -
                                      David VALLS-GABAUD    | 
                    
Improved
                                                  lensing reconstruction
                                                  with a non-parametric
                                                  code - Irene SENDRA  ![]() A weak-lensing mass reconstruction of the large-scale filament feeding the massive galaxy cluster MACSJ0717.5+3745 - Mathilde JAUZAC  ![]() Weak lensing mass mapping: Inverse and forward methods - Eric JULLO  ![]() Strong lensing as a probe of the mass distribution beyond the Einstein radius. Mass and light in SL2SJ08544-0121, a galaxy group at z=0.35 - Marceau LIMOUSIN  ![]() Cosmography with strong lensing systems - joint analysis - Beata MALEC  ![]() Effect of Non-linear structure and Baryons in Shear Power Spectrum - Sanghamitra DEB  ![]() Prospects for constraining Dark Energy and Early Universe with the B modes of CMB polarization - Claudia ANTOLINI  ![]() Translations in Relative Locality - Niccolò LORET  ![]() Constraints on variation of fundamental constants from Cosmology - Eloisa MENEGONI  ![]() Cluster detection in the Next Generation Virgo Cluster Survey (NGVS) - Rossella LICITRA  ![]() The Three-Dimensional Shapes of Galaxy Clusters - Marceau LIMOUSIN  ![]() Efficient Cosmic Shear Analysis with COSEBIs - Marika ASGARI  ![]() Galaxy bias and BAO tracers, combining weak lensing and halo occupation distribution - Johan COMPARAT  ![]() Looking for high-z galaxies (z>6.5) behind the lensing cluster A2667 - Nicolas LAPORTE    
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The expanding universe
                                                          (cosmology
                                                          basics) (pdf)  Cristiano
                                                      PORCIANI, Argelander-Institut
                          für Astronomie
                        
                  
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Introduction to Gravitational Lensing (Basics and History) (pdf) Joachim WAMBSGANSS, Zentrum für Astronomie der Universität Heidelberg (ZAH)
                  
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The large-scale structure of the universe (pdf) Cristiano PORCIANI, Argelander-Institut für Astronomie
                  
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 Microlensing
                          of distant Quasars   (pdf) Joachim
                                                      WAMBSGANSS,
                                            Zentrum
                            für Astronomie der Universität
                            Heidelberg (ZAH)
                      
        
                
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Weak lensing: techniques and cosmological applications (pdf) David BACON, Institute of Cosmology and Gravitation (ICG)
                    
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Weak Lensing and dark energy (A Survey of Cosmological Weak Lensing) (pdf) Tom KITCHING, Institute for Astronomy (IfA) - University of Edinburgh
                  
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Weak lensing by large-scale structures: theory (pdf) Cristiano PORCIANI, Argelander-Institut für Astronomie
                
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Strong Gravitaional Lensing : Effects of sub-structures (pdf-1, pdf-2)
                        Leon KOOPMANS, Kapteyn Astronomical Institute
                      
                    
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Lensing Constraints on Galaxy Cluster Mass and Structure (pdf) Graham SMITH, Astrophysics & Space Research Group - University of Birmingham
                  
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Weak lensing studies of dark matter halos around galaxies (pdf) Henk HOEKSTRA, Leiden Observatory
                  
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Quasar Absorbers and Lensing (pdf) Céline PEROUX, Laboratoire Astrophysique de Marseille (LAM)
                  
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Search for the First galaxies (pdf-1, pdf-2) Roser PELLO, IRAP, Observatoire Midi-Pyrenées
                    
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Strong lensing as a probe of the high redshift Universe (pdf-1, pdf-2) Jean-Paul KNEIB, Laboratoire Astrophysique de Marseille (LAM)
                    
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Spatially resolved studies of lensed galaxies (pdf) Johan RICHARD, Centre de Recherche Astronomique de Lyon (CRAL), Université Lyon 1
                    
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A kind of "Hands-on"
                                                          Workshop: How
                                                          to calculate
                                                          Quasar
                                                          Microlensing (tar ,pdf-1, pdf-2, pdf-3)
                                                          -
                                                          Joachim
                                                          WAMBSGANSS
                  
                      
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A brief history of gravitational lensing - (pdf) - David VALLS-GABAUD, LERMA CNRS, Observatoire de Paris
                            Cosmological
                              and astrophysical applications of vacuum
                              quantum corrections (pdf) -
                              Ilya L. SHAPIRO, Departamento
                              de Fisica - ICE, Universidade Federal de
                              Juiz de Fora
                                        
Geometric
                              Scalar Gravity (pdf)
                                      -
                            Mario NOVELLO, Centro Brasileiro de
                              Pesquisas Fisicas (CBPF) & ICRA
                                        
Résumé
                                          : We
                    review the previous theories of gravity associated
                    to a scalar field. We present a new geometric theory
                    that is able to circumvent all previous difficulties
                    associated to scalar gravity.
              
Improved
                                            lensing reconstruction with
                                            a non-parametric code
                                            (pdf) - Irene SENDRA,
                                            University of the Basque
                                            Country
              
Résumé : Based on the SLAP code (Sendra et al. 2005) we improve the lensing reconstruction of the mass in a galaxy cluster by integrating physical priors in the code that greatly help to increse the resolution of the solution and reduce the uncertainties. The new code is tested with simulated data (strong lensing) that mimics real data. We explore the improvements by comparing the solutions obtained with and without the new physical priors and discuss the limitations of the new code.
Bibliographie :A weak-lensing
                                            mass reconstruction of the
                                            large-scale filament feeding
                                            the massive galaxy cluster
                                            MACSJ0717.5+3745
                                            (pdf)- Mathilde JAUZAC,
                                            Astrophysics and Cosmology
                                            Research Unit (ACRU), University
                                            of KwaZulu Natal , Durban
                                            (ZAF)
              
Résumé : MACSJ0717.5+3745 is an X-ray luminous cluster, at a redshift of z ~ 0.55. Previous analysis of the galaxy distribution in its surrounding field revealed the presence of an elongated structure which was thought to be a large-scale filament. By making a weak gravitational lensing analysis of this cluster and its surrounding field, we were able to report the first weak-lensing detection of a large-scale filament which funnels the matter onto the core of the cluster. Our analysis is based on a mosaic of 18 HST/ACS maps, ie an area of ~10×20 arcmin2. To test the consistency of our weak lensing analysis we first compared our results with the strong lensing analysis of Limousin et al. (2012) of the cluster core. The weak and strong lensing density profiles of the cluster core show a really good agreement. In terms of mass integrated in a radius of 500 kpc (given the same center), the strong lensing gives 1.06±0.03 1015 Modor, while the weak lensing gives 1.04±0.08 1015 Modor. The excellent agreement between both values and density profiles confirms the strength of our weak lensing analysis. Our analysis detects the MACSJ0717 filament within the 3 sigma detection contour of the lensing mass reconstruction, and underlines the importance of filaments for theoretical and numerical models of the mass distribution in the Cosmic Web. We measured a filament’s projected length of ~4.5 Mpc, and a mean density of 2.92±0.66 108 M⊙kpc-2. By complementing our imaging data with extensive spectroscopy of galaxies in the area, and applying plausible constraints concerning the structure’s geometry based on its galaxy velocity field, we construct a 3D model of the large-scale filament. Within this framework, we derive a three-dimensional length of the filament to be 18 Mpc. The filament’s de-projected density in terms of the critical density of the Universe is measured as 206±46, a value that lies at the very high end of the range predicted by numerical simulations.
Bibliographie :Weak
                                            lensing mass mapping:
                                            Inverse and forward methods
                                            (pdf)- Eric JULLO,
                                            Laboratoire d'Astrophysique
                                            de Marseille (LAM) 
              
Résumé : We compare the mass map reconstruction methods with Lenstool and in-painting, in forward and inverse methods respectively. We appy the methods to the massive cluster MACS0717.
Bibliographie :Strong
                                            lensing as a probe of the
                                            mass distribution beyond the
                                            Einstein radius. Mass and
                                            light in SL2SJ08544-0121, a
                                            galaxy group at z=0.35
                                            (pdf)- Marceau LIMOUSIN,
                                            Laboratoire Astrophysique de
                                            Marseille (LAM)
              
Résumé
                                          : Strong
                    lensing (SL) has been employed extensively to obtain
                    accurate mass measurements within the Einstein
                    radius, i.e. at the location of the multiply imaged
                    systems used as constraints. I will show that SL can
                    be used to probe mass distributions on scales much
                    larger than the one defined by the Einstein radius.
                    I will discuss this method on SL2SJ08544-0121, a
                    galaxy group at redshift z=0.35. This group displays
                    a bimodal light distribution with a strong lensing
                    system located at one of the two luminosity peaks
                    separated by  ~54 arcsec. The main arc and the
                    counter-image of the strong lensing system are
                    located at ~5 arcsec and ~8 arcsec from the lens
                    galaxy centre. I will show that a simple elliptical
                    isothermal potential cannot satisfactorily reproduce
                    the strong lensing observations. However, with a
                    mass model for the group built from its
                    light-distribution, i obtain an accurate
                    reproduction of the strong lensing observations,
                    therefore setting constraints on the mass of the
                    galaxy group as a whole. The SL only analysis hints
                    that we are actually witnessing the merging of two
                    galaxy  groups.
                    Using complementary data sets, spectroscopy of
                    galaxy group members and Xray observations, i will
                    show that the predictions from the SL only analysis
                    are confirmed. This kind of analysis provides a
                    quick and cheap way of probing the mass distribution
                    of clusters and groups. This is particularly
                    relevant in the context of forthcoming wide field
                    surveys, which will yield thousands of strong
                    lenses.
Cosmography
                                            with strong lensing systems
                                            - joint analysis
                                            (pdf) - Beata MALEC,
                                            Copernicus Center for
                                            Interdisciplinary Studies
                                          
Résumé : A key issue of contemporary cosmology is the problem of currently accelerating expansion of the Universe. The nature of this phenomenon is one of the most outstanding problems of physics and astronomy today. Its origin may be attributed to either unknown exotic material component with negative pressure - so called Dark Energy (DE), to infra red modification of gravity at cosmological scale or requires to relax the assumption of homogeneity of the Universe. It should be pointed out that the strength of modern cosmology (which now enterd stage dubbed the era of precision cosmology) lies in consistency across independent pieces of evidence rather than in single, crucial experiment. We approach to this subject from phenomenological point of view. In this spirit we perform a cosmographic analysis using several cosmological probes such as Type Ia Supernovae (Union2 compilation), data from Cosmic Microwave Background (WMAP7), Baryon Acoustic Oscillation (BAO) and strongly gravitationally lensed systems (combined data sets from SLACS and LSD surveys) and Gamma Ray Bursts. These tests falls into two distinct cathegories. The first one makes use of the angular diameter distance, and refers to the so called standard rulers. Here we have strong lensing systems, shift parameter R from CMB and BAO scales. The second uses the luminosity distance and then we deal with standard (or rather standarizable) candles. Here we deal with SN Ia and GRB. The two distance concepts, although theoretically related to each other, in practice have different systematic uncertainties and different parameter degeneracies.Hence their joint analysis is more restrictive in the parameter space. We considered several cosmological scenarios of dark energy, widely discussed in current literature. We also address the question which model is the best with information-theoretic criteria: the Akaike Criterion (AIC) and Bayesian Information Criterion (BIC).
Bibliographie :Effect
                                            of Non-linear structure and
                                            Baryons in Shear Power
                                            Spectrum (pdf)
                                            - Sanghamitra DEB, Argonne
                                            National Laboratory
                                          
Résumé : The Cosmic Shear Power Spectrum (CSPS) probes the growth and distribution of matter using the deflection of light by the web of large scale structure in the universe . Future and ongoing surveys such as DES, LSST and EUCLID will measure the CSPS at angular scales as small as an arcminute. In order to interpret the results and compute the cosmological parameters we need accurate prediction of the 3D matter power spectrum at non-linear scales. We will describe our approach based on the Coyote Universe Emulator that has been shown to predict the three dimensional dark matter power spectrum to percent level accuracy down to the non-linear scales relevant for lensing. Small scales are also dominated by baryonic matter which are not captured in N-body gravity only simulations. We will also explore modeling baryons using semi-analytic approaches and the corresponding biases in the Shear Power Spectrum.
Bibliographie :Prospects
                                            for constraining Dark Energy
                                            and Early Universe with the
                                            B modes of CMB polarization
                                            (pdf) - Claudia
                                            ANTOLINI, SISSA/ISAS
              
Résumé : We investigate the constraining power of the CMB in the light of modern observations, focusing on the expectations from forthcoming satellite and sub-orbital (polarization oriented) experiments. In particular, we study their constraining capabilities concerning the physics of the early Universe and the onset of acceleration through the B modes polarization spectrum as a tool for inquiring primordial gravitational waves and the lensing peak.
Bibliographie :Translations
                                            in Relative Locality
                                            (ppt) - Niccolò
                                            LORET, Università
                                            degli Studi di Roma 'La
                                            Sapienza'
                                          
Résumé : In this talk we will try to introduce the analysis of cosmological observables as a suitable arena for Relative Locality phenomenology. One of the fundamental aspects of General Relativity is that two different observers on two different hypersurfaces describe spacetime with two distinct sets of coordinates, and, thus, they give different coordinatizations of the same spacetime. Relative Locality is a relativistic theory that implements systematic nonlocalities that can emerge in many different approaches to the problem of Quantum Gravity. In this theory, locality is no longer absolute, as codified in a novel way to mathematically express translations between the two hypersurfaces. We will give an explicit example of signal analysis and related phenomenology on cosmological observables, with relative locality spacetime metric, mathematically modelized on kappa-Minkowski deformed spacetime transformations.
Bibliographie :Constraints
                                            on variation of fundamental
                                            constants from Cosmology
                                            (pdf) - Eloisa MENEGONI,
                                            University of Rome Sapienza
                                          
Résumé
                                          : In
                    about six refereed papers [7][10][12][13][14][15], I
                    investigated the value of nature’s fundamental
                    couplings in the early universe, considering
                    possible deviations from the current standard
                    values. A time varying fine structure constant can
                    leave an imprint on CMB anisotropies by changing the
                    time of recombination and the size of the acoustic
                    horizon at photon-electron decoupling (see
                    [1],[2],[3],[4]). The CMB datasets have been
                    extensively used to constrain α by parametraizing a
                    variation in the fine structure constant as Δα = (α
                    - α0)∕α0, where α0 is the standard, local value and
                    α is the value during the recombination
                    process[5],[6]. By performing a MCMC analysis and
                    using WMAP-5 years data, and I found α∕α0 = 0.998
                    ± 0.021 at 68% c.l., the constraints are much
                    tighter if you also include all the CMB data plus a
                    prior on the value of Hubble constant, in this case
                    I found α∕α0 = 1.001 ± 0.007 [7].
                    By including early dark energy component [11], the
                    variations of the fine structure constant using
                    WMAP-7 years data and HST data give α∕α0 = 0.963
                    ± 0.044, Ωe < 0.064 and for the coupling ζ
                    < 0.047 at 95%c.l.. By performing a Fisher matrix
                    analysis and using Planck and CMBPol experimental
                    specifications I found better and strong constraints
                    on the parameter: for Planck σ(α∕α0) = 0.0012, σ(Ωe)
                    = 0.0036, σ(ζ) < 0.0012 and the results for
                    CMBPol σ(α∕α0) = 0.00025, σ(Ωe) = 0.0015 and σ(ζ)
                    < 0.00022 [12].
Cluster
                                            detection in the Next
                                            Generation Virgo Cluster
                                            Survey (NGVS) (pdf) -
                                            Rossella LICITRA,
                                            Observatoire de Paris
                                          
Résumé : We present recent results on the stellar evolution in cluster galaxies from z~1 to present from the Next Generation Virgo Cluster Survey. Our survey covers 104 sq. deg. centered on the Virgo cluster with deep CFHT/Megacam imaging in five band passes. We detect background clusters with dedicated methods based on the search of red galaxy and photometric redshift overdensities. We analyze galaxy stellar population evolution in clusters from z~1 to present using scaling relations, such as the color-magnitude relation.
Bibliographie :The
                                            Three-Dimensional Shapes of
                                            Galaxy Clusters (pdf)-
                                            Marceau LIMOUSIN,
                                            Laboratoire Astrophysique de
                                            Marseille (LAM)
                                          
Résumé
                                          : While
                    clusters of galaxies are considered as one of the
                    most important cosmological probes, the standard
                    spherical modelling of the dark matter and the
                    intracluster medium is only a rough approximation.
                    Indeed, it is well established both theoretically
                    and observationally that galaxy clusters are much
                    better approximated as triaxial objects. However,
                    investigating the asphericity of galaxy clusters is
                    still in its infancy.
                    I will review this topic which is currently
                    gathering a growing interest from the cluster
                    community. i will begin by introducing the triaxial
                    geometry, then discuss the topic of deprojection and
                    demonstrate the need for combining different probes
                    of the cluster's potential, and finally review the
                    different works that have been addressing these
                    issues.
                    Then i will present a general parametric framework
                    intended to simultaneously fit complementary data
                    sets (X-ray, Sunyaev Zel'dovich and lensing data),
                    and show an illustration on galaxy cluster Abell
                    1689.
                    I will show that, for strong lensing clusters, a
                    triaxial model generally allows to lower the
                    inferred value of the concentration parameter
                    compared to a spherical analysis. This may alleviate
                    tensions regarding, e.g., the over-concentration
                    problem. However, i will stress that predictions
                    from numerical simulations rely on a spherical
                    analysis of triaxial halos.
                    Since triaxial analyses will have a growing
                    importance in the observational side,  I
                    advocate the need for simulations to be analysed in
                    the very same way, allowing reliable and meaningful
                    comparisons. Besides, methods and algorithms
                    intended to derive the three dimensional shape of
                    galaxy clusters should be extensively tested on
                    simulated multi-wavelength observations in order to
                    quantify the limitations of the triaxial model,
                    which still represents an approximation  of
                    what a real galaxy cluster might be.
Efficient
                                            Cosmic Shear Analysis with
                                            COSEBIs (pdf) -
                                            Marika ASGARI, Royal
                                            Observatory Edinburgh
                                          
Résumé : Gravitational lensing is one of the leading tools in understanding the dark side of the Universe. The need for accurate, efficient and effective methods which are able to extract this information along with other cosmological parameters from cosmic shear data is ever growing. COSEBIs, Complete Orthogonal Sets of E-/B-Integrals, is a recently developed statistical measure that encompasses the complete E-/B-mode separable information contained in the shear correlation functions measured on a finite angular range. Aims. The aim of the present work is to test the properties of this newly developed statistics for a higher-dimensional parameter space and to generalize and test it for shear tomography. Methods. We use Fisher analysis to study the effectiveness of COSEBIs. We show our results in terms of figure-of-merit quantities, based on Fisher matrices. Results. We find that a relatively small number of COSEBIs modes is always enough to saturate to the maximum information level. This number is always smaller for 'logarithmic COSEBIs' than for 'linear COSEBIs', and also depends on the number of redshift bins, the number and choice of cosmological parameters, as well as the survey characteristics. Conclusions. COSEBIs provide a very compact way of analyzing cosmic shear data, i.e., all the E-/B-mode separable second-order statistical information in the data is reduced to a small number of COSEBIs modes. Furthermore, with this method the arbitrariness in data binning is no longer an issue since the COSEBIs modes are discrete. Finally, the small number of modes also implies that covariances, and their inverse, are much more conveniently obtainable, e.g., from numerical simulations, than for the shear correlation functions themselves.
Bibliographie :Galaxy
                                            bias and BAO tracers,
                                            combining weak lensing and
                                            halo occupation distribution
                                            (pdf) - Johan COMPARAT,
                                            Laboratoire d'Astrophysique
                                            de Marseille
                                          
Résumé
                                          : The
                    Baryon Acoustic Oscillation (BAO) feature in the
                    power spectrum of galaxies can be used as a standard
                    ruler to probe the accelerated expansion of the
                    Universe. The current surveys covering a comoving
                    volume sufficient to unveil the BAO scale are
                    limited to redshift $z \lesssim 0.6$.
                    
                    We study several galaxy selection schemes aiming at
                    building an emission-line-galaxy (ELG) sample in the
                    redshift range $0.6<z<1.7$, that would be
                    suitable for future BAO studies i.e. a highly biased
                    galaxy sample.
                    
                    We analyze six galaxy selections at the redshifts
                    0.3, 0.5, 0.7, 0.8, 1, 1.2 using the two
                    observables, the angular galaxy clustering, and the
                    weak lensing. We combine the angular clustering
                    analysis with state of the art halo occupation
                    distribution models to derive the properties of the
                    haloes these galaxies inhabit, in particular the
                    galaxy bias on large scales. Then a weak lensing
                    analysis (aperture statistics) is performed to
                    extract the galaxy bias and its stochasticity as a
                    function of the scale.
                    
                    We apply this analysis on a dataset composed of the
                    photometry of the deep coadd on Stripe 82 (225
                    deg$^2$) made by SDSS and of WISE infrared
                    photometric band W1. We use the photometric redshift
                    of the CFHT-LS W4 T0006 and from SDSS. Both analysis
                    on the selections at $z=0.3$ and 0.5 are consistent,
                    and are in agreement with previous studies on these
                    tracers, which shows our approach is valid. On the
                    next redshift bins, the galaxy biases obtained using
                    the weak lensing observable and the bias obtained by
                    the clustering analysis are consistent. It shows the
                    galaxy populations selected are strongly biased.
                    Thus a survey using such tracers of the mass field
                    will guarantee a high significance detection of the
                    BAO. This gives a strong support for these galaxy
                    selections to be observed by future large
                    spectroscopic BAO surveys.
Looking for high-z galaxies (z>6.5) behind the lensing cluster A2667 (pptx) - Nicolas LAPORTE, Institut de Recherche en Astrophysique et Planétologie (IRAP)
Résumé : We investigate the nature and the physical properties of z, Y and, J‐dropouts galaxies selected behind the lensing cluster A2667. This field is part of our project aimed at identifying z~7‐10 candidates accessible to spectroscopic studies, based on deep photometry with ESO/VLT HAWK‐I and FORS2 (zYJH and Ks‐band images, AB(3 sigma)~26‐27) on a sample of lensing clusters extracted from our multi‐wavelength combined surveys with SPITZER, HST, and Herschel. We have selected 1 J‐dropout, 8 Y‐drops and 1 z‐drops within the common field of ~33 arcmin2 (effective area once corrected for contamination and lensing dilution). All of them are detected in H and Ks bands in addition to J and/or IRAC 3.6/4.5, with H(AB)~23.4 to 26.5, and have modest magnification factors. Although best‐fit photometric redshifts place all these candidates at high‐z, the contamination by low‐z interlopers is estimated at 50‐75% level based on previous studies, and the comparison with the blank‐field WIRCAM Ultra‐Deep Survey (WUDS). The same result is obtained when photometric redshifts include a luminosity prior, allowing us to remove half of the original sample as likely z~1.7‐3 interlopers with young stellar pulsations and strong extinction. Two additional sources among the remaining sample could be identified at low‐z based on a detection on Herschel data. Another source, our J-drop candidate, was also removed from our original high-z sample using X-Shooter observations. These low‐z interlopers are not well described by current templates given the large break, and cannot be easily identified based solely on optical and near‐IR photometry. Given the estimated dust extinction and high SFRs, some of them could be also detected in the IR or sub‐mm bands. After correction for likely contaminants, the observed counts at z>7.5 seem to be in agreement with an evolving LF. We are able to constraint the bright end of the LF at z~8 and 9 after correction for contamination and incompleteness. Our results are consistent with previous studies.
Bibliographie :
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