R. B. Tully, H. Courtois, Y. Hoffman, and D. Pomarede, The Laniakea supercluster of galaxies, Nature, vol.119, issue.7516, p.71, 2014.
DOI : 10.1038/nature13674
URL : https://hal.archives-ouvertes.fr/in2p3-01066034

B. Mandelbrot, The Fractal Geometry of, NatureFreeman, 1982.

G. De-vaucouleurs, The Case for a Hierarchical Cosmology, Science, vol.167, issue.3922, p.1203, 1970.
DOI : 10.1126/science.167.3922.1203

D. W. Hogg, D. J. Eisenstein, M. R. Blanton, N. A. Bahcall, J. Brinkmann et al., Cosmic Homogeneity Demonstrated with Luminous Red Galaxies, The Astrophysical Journal, vol.624, issue.1, p.54, 2005.
DOI : 10.1086/429084

J. Bagla, J. Yadav, and T. Seshadri, Fractal dimensions of a weakly clustered distribution and the scale of homogeneity, Monthly Notices of the Royal Astronomical Society, vol.390, issue.2, p.829, 2008.
DOI : 10.1111/j.1365-2966.2008.13793.x

M. I. Scrimgeour, T. Davis, C. Blake, J. B. James, G. B. Poole et al., The WiggleZ Dark Energy Survey: the transition to large-scale cosmic homogeneity, Monthly Notices of the Royal Astronomical Society, vol.425, issue.1, p.116, 2012.
DOI : 10.1111/j.1365-2966.2012.21402.x

J. Estrada, E. Sefusatti, and J. Frieman, THE CORRELATION FUNCTION OF OPTICALLY SELECTED GALAXY CLUSTERS IN THE SLOAN DIGITAL SKY SURVEY, The Astrophysical Journal, vol.692, issue.1, p.265, 2009.
DOI : 10.1088/0004-637X/692/1/265

M. Colless, The 2dF Galaxy Redshift Survey: spectra and redshifts, Monthly Notices of the Royal Astronomical Society, vol.328, issue.4, p.1039, 2001.
DOI : 10.1046/j.1365-8711.2001.04902.x

M. Joyce and F. Sicard, Non-linear gravitational clustering of cold matter in an expanding universe: indications from 1D toy models, Monthly Notices of the Royal Astronomical Society, vol.413, issue.2, p.1439, 2011.
DOI : 10.1111/j.1365-2966.2011.18225.x
URL : https://hal.archives-ouvertes.fr/in2p3-00564248

]. D. Benhaiem, M. Joyce, and F. Sicard, Exponents of non-linear clustering in scale-free one-dimensional cosmological simulations, Monthly Notices of the Royal Astronomical Society, vol.429, issue.4, p.3423, 2013.
DOI : 10.1093/mnras/sts607

D. Benhaiem, M. Joyce, and B. Marcos, Self-similarity and stable clustering in a family of scale-free cosmologies, Monthly Notices of the Royal Astronomical Society, vol.443, issue.3, p.2126, 2014.
DOI : 10.1093/mnras/stu1245
URL : https://hal.archives-ouvertes.fr/hal-00943985

J. Binney, -body simulations, Monthly Notices of the Royal Astronomical Society, vol.350, issue.3, p.939, 2004.
DOI : 10.1111/j.1365-2966.2004.07699.x
URL : https://hal.archives-ouvertes.fr/hal-01061647

B. N. Miller and J. L. Rouet, Influence of expansion on hierarchical structure, Physical Review E, vol.65, issue.5, p.56121, 2002.
DOI : 10.1103/PhysRevE.65.056121

B. N. Miller, J. Rouet, and E. Leguirriec, Fractal geometry in an expanding, one-dimensional, Newtonian universe, Physical Review E, vol.76, issue.3, p.36705, 2007.
DOI : 10.1103/PhysRevE.76.036705
URL : https://hal.archives-ouvertes.fr/insu-00339735

B. N. Miller and J. Rouet, Ewald sums for one dimension, Physical Review E, vol.82, issue.6, p.66203, 2010.
DOI : 10.1103/PhysRevE.82.066203

D. Fanelli and E. Aurell, Asymptotic behavior of a planar perturbation in a three dimensional expanding Universe, Astronomy and Astrophysics, vol.395, issue.2, p.399, 2002.
DOI : 10.1051/0004-6361:20021197

C. Cheng and G. Knorr, The integration of the vlasov equation in configuration space, Journal of Computational Physics, vol.22, issue.3, p.330, 1976.
DOI : 10.1016/0021-9991(76)90053-X

F. Filbet, E. Sonnendrucker, and P. Bertrand, Conservative Numerical Schemes for the Vlasov Equation, Journal of Computational Physics, vol.172, issue.1, p.166, 2001.
DOI : 10.1006/jcph.2001.6818

S. Colombi, T. Sousbie, S. Peirani, G. Plum, and Y. Suto, Vlasov versus N-body: the Henon sphere, Monthly Notices of the Royal Astronomical Society, vol.450, issue.4, p.3724, 2015.
DOI : 10.1093/mnras/stv819

S. Colombi and J. Touma, Vlasov-Poisson in 1D: waterbags, Monthly Notices of the Royal Astronomical Society, vol.441, issue.3, p.2414, 2014.
DOI : 10.1093/mnras/stu739

J. A. Peacock, Cosmological Physics, 1999.

E. Ricciardelli, V. Quilis, and S. Planelles, The structure of cosmic voids in a ??CDM Universe, Monthly Notices of the Royal Astronomical Society, vol.434, issue.2, p.1192, 2013.
DOI : 10.1093/mnras/stt1069

I. Szapudi, A. Kovács, B. R. Granett, Z. Frei, J. Silk et al., Detection of a supervoid aligned with the cold spot of the cosmic microwave background, Monthly Notices of the Royal Astronomical Society, vol.450, issue.1, p.288, 2015.
DOI : 10.1093/mnras/stv488

K. Yoshikawa, N. Yoshida, and M. Umemura, DIRECT INTEGRATION OF THE COLLISIONLESS BOLTZMANN EQUATION IN SIX-DIMENSIONAL PHASE SPACE: SELF-GRAVITATING SYSTEMS, The Astrophysical Journal, vol.762, issue.2, p.116, 2013.
DOI : 10.1088/0004-637X/762/2/116

O. Hahn, T. Abel, and R. Kaehler, A new approach to simulating collisionless dark matter fluids, Monthly Notices of the Royal Astronomical Society, vol.434, issue.2, p.1171, 2013.
DOI : 10.1093/mnras/stt1061

Y. Shiozawa, B. N. Miller, and J. Rouet, Fractal dimension computation from equal mass partitions, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.24, issue.3, p.33106, 2014.
DOI : 10.1063/1.4885778
URL : https://hal.archives-ouvertes.fr/insu-01087937