@article{AIHPB_2007__43_2_147_0, author = {Comets, Francis and Quastel, Jeremy and Ram{\'\i}rez, Alejandro F.}, title = {Fluctuations of the front in a stochastic combustion model}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {147--162}, publisher = {Elsevier}, volume = {43}, number = {2}, year = {2007}, doi = {10.1016/j.anihpb.2006.01.005}, mrnumber = {2303116}, zbl = {1111.82038}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpb.2006.01.005/} }
TY - JOUR AU - Comets, Francis AU - Quastel, Jeremy AU - Ramírez, Alejandro F. TI - Fluctuations of the front in a stochastic combustion model JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2007 SP - 147 EP - 162 VL - 43 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpb.2006.01.005/ DO - 10.1016/j.anihpb.2006.01.005 LA - en ID - AIHPB_2007__43_2_147_0 ER -
%0 Journal Article %A Comets, Francis %A Quastel, Jeremy %A Ramírez, Alejandro F. %T Fluctuations of the front in a stochastic combustion model %J Annales de l'I.H.P. Probabilités et statistiques %D 2007 %P 147-162 %V 43 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpb.2006.01.005/ %R 10.1016/j.anihpb.2006.01.005 %G en %F AIHPB_2007__43_2_147_0
Comets, Francis; Quastel, Jeremy; Ramírez, Alejandro F. Fluctuations of the front in a stochastic combustion model. Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 2, pp. 147-162. doi : 10.1016/j.anihpb.2006.01.005. http://www.numdam.org/articles/10.1016/j.anihpb.2006.01.005/
[1] Phase transition for the frog model, Electron. J. Probab. 7 (2) (2002). | MR | Zbl
, , ,[2] The shape theorem for the frog model, Ann. Appl. Probab. 12 (2) (2002) 533-546. | MR | Zbl
, , ,[3] The shape theorem for the frog model with random initial configuration, Markov Process. Related Fields 7 (4) (2001) 525-539. | MR | Zbl
, , , ,[4] Estimates for the spreading velocity of an epidemic model, Math. Comput. Simulation 64 (6) (2004) 609-616. | MR | Zbl
, , ,[5] Ergodic properties of a semi-infinite one-dimensional system of statistical mechanics, Commun. Math. Phys. 101 (1985) 363-382. | MR
, , , , ,[6] A law of large numbers for random walks in random mixing environments, Ann. Probab. 32 (1B) (2004) 880-914. | MR | Zbl
, ,[7] Mathematical Aspects of Reacting and Diffusing Systems, Lecture Notes in Biomath., vol. 28, Springer-Verlag, New York, 1979. | MR | Zbl
,[8] The critical probability for the frog model is not a monotonic function of the graph, J. Appl. Probab. 41 (1) (2004) 292-298. | MR | Zbl
, , ,[9] A renewal theorem for random walk in a random environment, Proc. Sympos. Pure Math. 31 (1977) 67-77. | MR | Zbl
,[10] Sums of Independent Random Variables, Springer-Verlag, 1975. | MR | Zbl
,[11] Frogs in random environment, J. Statist. Phys. 102 (1-2) (2001) 191-201. | Zbl
,[12] S. Popov, Frogs and some other interacting random walks models, Discrete Math. Theor. Comput. Sci. Proc., volume on Discrete Random Walks (2003), pp. 277-288 (electronic). | Zbl
[13] Asymptotic behavior of a stochastic growth process associated with a system of interacting branching random walks, C. R. Math. Acad. Sci. Paris, Ser. I 335 (10) (2002) 821-826. | MR | Zbl
, ,[14] Asymptotic behavior of a stochastic combustion growth process, J. Eur. Math. Soc. 6 (3) (2004) 293-334. | MR | Zbl
, ,[15] Mixing properties for mechanical motion of a charged particle in a random medium, Commun. Math. Phys. 219 (2) (2001) 323-355. | MR | Zbl
, , ,[16] Slowdown estimates and central limit theorem for random walk in random environment, J. Eur. Math. Soc. 2 (2000) 93-143. | MR | Zbl
,[17] A law of large numbers for random walks in random environment, Ann. Probab. 27 (4) (1999) 1851-1869. | MR | Zbl
, ,Cité par Sources :