J. Bertoin, Random Fragmentation and Coagulation Processes, 2006.
DOI : 10.1017/CBO9780511617768

URL : https://hal.archives-ouvertes.fr/hal-00103015

L. Beznea and I. Cîmpean, On Bochner-Kolmogorov Theorem, Séminaire de Probabilités XLVI, pp.61-70, 2014.
DOI : 10.1007/978-3-319-11970-0_3

L. Beznea, M. Deaconu, and O. Lupa?cu, Branching processes for the fragmentation equation, Stochastic Processes and their Applications, pp.1861-1885, 2015.
DOI : 10.1016/j.spa.2014.11.016

URL : https://hal.archives-ouvertes.fr/hal-00948876

L. Beznea and O. Lupa?cu, Measure valued discrete branching Markov processes , Transactions Amer, Math. Soc, p.2015
DOI : 10.1090/tran/6514

URL : http://arxiv.org/abs/1507.08759

L. Beznea, O. Lupa?cu, and A. Oprina, A unifying construction for measure-valued continuous and discrete branching processes, Complex Analysis and Potential Theory, CRM Proceedings and Lecture Notes, pp.47-59

L. Beznea and A. Oprina, Nonlinear PDEs and measure-valued branching type processes, Journal of Mathematical Analysis and Applications, vol.384, issue.1, pp.16-32, 2011.
DOI : 10.1016/j.jmaa.2010.10.034

]. L. Beznea, L. Röckner, and M. , Applications of Compact Superharmonic Functions: Path Regularity and Tightness of Capacities, Complex Analysis and Operator Theory, vol.24, issue.3, pp.731-741, 2011.
DOI : 10.1007/s11785-010-0084-3

F. Bouchut, E. Fernandez-nieto, A. Mangeney, and P. Y. Lagre, On new erosion models of Savage???Hutter type for avalanches, Acta Mechanica, vol.392, issue.B9, pp.198-208, 2008.
DOI : 10.1007/s00707-007-0534-9

URL : https://hal.archives-ouvertes.fr/hal-00369433

A. Carbone, B. Chiaia, B. Frigo, and C. Turk, Snow metamorphism: A fractal approach, Physical Review E, vol.82, issue.3, p.36103, 2010.
DOI : 10.1103/PhysRevE.82.036103

E. Cepeda, Contribution to the probabilistic and numerical study of homogeneous Coagulation-Fragmentation equations. Probability, 2013.
URL : https://hal.archives-ouvertes.fr/tel-00833475

D. Biagi, V. Chiaia, B. Frigo, and B. , Fractal grain distribution in snow avalanche deposits, Journal of Glaciology, vol.58, issue.208, pp.340-346, 2012.
DOI : 10.3189/2012JoG11J119

D. Blasio and F. V. , Dynamical stress in force chains of granular media traveling on a bumpy terrain and the fragmentation of rock avalanches, Acta Mech, pp.375-382, 2011.

D. Blasio, F. V. Crosta, and B. G. , Simple physical model for the fragmentation of rock avalanches, Acta Mech, pp.243-252, 2014.

J. Faillettaz, F. Louchet, and J. R. Grasso, Two-Threshold Model for Scaling Laws of Noninteracting Snow Avalanches, Physical Review Letters, vol.93, issue.20, 2004.
DOI : 10.1103/PhysRevLett.93.208001

N. Fournier and J. Giet, On small particles in coagulation-fragmentation equations, Journal of Statistical Physics, vol.111, issue.5/6, pp.1299-1329, 2003.
DOI : 10.1023/A:1023060417976

R. Garcia-pelayo, I. Salazar, and W. C. Schieve, A branching process model for sand avalanches, J. Stat. Physis, vol.93, issue.72, 1993.

J. M. Gray and C. Ancey, Segregation, recirculation and deposition of coarse particles near two-dimensional avalanche fronts, Journal of Fluid Mechanics, vol.34, pp.387-423, 2009.
DOI : 10.1103/PhysRevE.65.011304

I. R. Ionescu and O. Lupa?cu, Modeling shallow avalanche onset over complex basal topography, Advances in Computational Mathematics, vol.392, issue.2527, pp.10-1007, 2015.
DOI : 10.1007/s10444-015-9407-2

I. R. Ionescu and O. Lupa?cu, Onset of a dense avalanche on a plane slope, Proc. Romanian Academy-Series A (2015)

N. Ikeda, M. Nagasawa, and S. Watanabe, Branching Markov processes I, Journal of Mathematics of Kyoto University, vol.8, issue.2, pp.233-278, 1968.
DOI : 10.1215/kjm/1250524137

URL : http://projecteuclid.org/download/pdf_1/euclid.kjm/1250524137

J. Jacod, D. Lee, K. Goh, B. Kahng, and D. Kim, Calcul Stochastique et Problèmes de martingales, Branching Process Approach to Avalanche Dynamics on Complex Networks, pp.633-637, 1979.
DOI : 10.1007/BFb0064907

M. Sharpe, General Theory of Markov Processes, 1988.

M. L. Silverstein, Markov processes with creation of particles, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.9, issue.3, pp.235-257, 1968.
DOI : 10.1007/BF00535642

S. P. Pudasaini and K. Hutter, Avalanche Dynamics -Dynamics of Rapid Flows of Dense Granular Avalanches, 2007.

Y. Wang, K. Hutter, S. P. Pudasaini, S. Zapperi, K. B. Lauritsen et al., The Savage-Hutter theory: a system of partial differential equations for avalanche flow of snow, debris, and mud, ZAMM Self-Organized branching processes: Mean-Field Theory for avalanches, Physical review letters, pp.507-527, 1995.