. Søren-asmussen, Applied probability and queues, Stochastic Modelling and Applied Probability. MR, vol.51, 2003.

J. Bertoin, Self-similar fragmentations, Ann. Inst. H. Poincaré Probab. Statist, vol.38, issue.3, pp.319-340, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00103546

, Random fragmentation and coagulation processes, Cambridge Studies in Advanced Mathematics, vol.102, p.60004, 2006.

J. Bertoin and S. Martínez, Fragmentation energy, Adv. in Appl. Probab, vol.37, issue.2, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00101815

F. C. Bond, The third theory of comminution, AIME Trans, vol.193, issue.484, 1952.

R. J. Charles, Energy-size reduction relationships in comminution, AIME Trans, vol.208, pp.80-88, 1957.

H. Víctor, E. De-la-peña, and . Giné, From dependence to independence, Randomly stopped processes. U -statistics and processes. Martingales and beyond. MR MR1666908, vol.99, p.60044, 1999.

E. B. Dynkin and A. Mandelbaum, Symmetric statistics, Poisson point processes, and multiple Wiener integrals, Ann. Statist, vol.11, issue.3, p.60015, 1983.

D. Devoto and S. Martínez, Truncated Pareto law and oresize distribution of ground rocks, Mathematical Geology, vol.30, issue.6, pp.661-673, 1998.

P. Del-moral, F. Patras, and S. Rubenthaler, Tree based functional expansions for Feynman-Kac particle models, Ann. Appl. Probab, vol.19, issue.2, pp.778-825, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00602363

P. Moral, F. Patras, and S. Rubenthaler, Convergence of U -statistics for interacting particle systems, J. Theoret. Probab, vol.24, issue.4, pp.1002-1027, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00397366

, A mean field theory of nonlinear filtering, The Oxford handbook of nonlinear filtering, pp.705-740, 2011.

D. A. Dawson and X. Zheng, Law of large numbers and central limit theorem for unbounded jump mean-field models, Adv. in Appl. Math, vol.12, issue.3, pp.293-326, 1991.

M. Hoffmann and N. Krell, Statistical analysis of self-similar conservative fragmentation chains, Bernoulli, vol.17, issue.1, p.62291, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00261291

S. C. Harris, R. Knobloch, and A. E. Kyprianou, Strong law of large numbers for fragmentation processes, MR 2641773, vol.46, pp.119-134, 2010.

A. J. Lee, U -statistics, Theory and practice. MR MR1075417, vol.110, p.60026, 1990.

S. Meleard, Convergence of the fluctuations for interacting diffusions with jumps associated with Boltzmann equations, Stochastics Stochastics Rep, vol.63, issue.3-4, 1998.

E. M. Perrier and N. R. Bird, Modelling soil fragmentation: the pore solid fractal approach, Soil and Tillage Research, vol.64, pp.91-99, 2002.

S. Rubenthaler, Central limit theorem through expansion of the propagation of chaos for Bird and Nanbu systems, Ann. Fac. Sci. Toulouse Math, issue.6, pp.829-873, 2016.

M. S. Sgibnev, Stone's decomposition of the renewal measure via Banach-algebraic techniques, Proc. Amer. Math. Soc, vol.130, issue.8, p.60144, 2002.

D. L. Turcotte, Fractals and fragmentation, Journal of Geophysical Research, vol.91, issue.B2, pp.1921-1926, 1986.

K. Uchiyama, Fluctuations in a Markovian system of pairwise interacting particles, vol.79, pp.289-302, 1988.

L. Norman and . Weiss, Society of Mining Engineers of the American Institute of Mining, Metallurgical, and Petroleum Engineers, 1985 (English), "Sponsored by Seeley W. Mudd Memorial Fund of AIME, Society of Mining Engineers of AIME

W. H. Walker, W. K. Lewis, W. H. Mcadams, and E. R. Gilliland, Principles of chemical engineering, 1967.