@article{AIHPB_2000__36_6_691_0, author = {Sepp\"al\"ainen, Timo}, title = {Strong law of large numbers for the interface in ballistic deposition}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {691--736}, publisher = {Gauthier-Villars}, volume = {36}, number = {6}, year = {2000}, mrnumber = {1797390}, zbl = {0972.60097}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_2000__36_6_691_0/} }
TY - JOUR AU - Seppäläinen, Timo TI - Strong law of large numbers for the interface in ballistic deposition JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2000 SP - 691 EP - 736 VL - 36 IS - 6 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_2000__36_6_691_0/ LA - en ID - AIHPB_2000__36_6_691_0 ER -
%0 Journal Article %A Seppäläinen, Timo %T Strong law of large numbers for the interface in ballistic deposition %J Annales de l'I.H.P. Probabilités et statistiques %D 2000 %P 691-736 %V 36 %N 6 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_2000__36_6_691_0/ %G en %F AIHPB_2000__36_6_691_0
Seppäläinen, Timo. Strong law of large numbers for the interface in ballistic deposition. Annales de l'I.H.P. Probabilités et statistiques, Tome 36 (2000) no. 6, pp. 691-736. http://archive.numdam.org/item/AIHPB_2000__36_6_691_0/
[1] Hydrodynamical limit for spatially heterogeneous simple exclusion process, Probab. Theory Related Fields 110 (1998) 287-331. | MR | Zbl
,[2] Asymmetric conservative processes with random rates, Stochastic Process. Appl. 61 (1996) 181-204. | MR | Zbl
, , ,[3] Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282 (1984) 487-502. | MR | Zbl
, , ,[4] Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983) 1-42. | MR | Zbl
, ,[5] Mathematical Methods for Hydrodynamic Limits, Lecture Notes in Mathematics, Vol. 1501, Springer, Berlin, 1991. | MR | Zbl
, ,[6] Ten lectures on particle systems, in: Lecture Notes in Mathematics, Vol. 1608, Springer, 1995, pp. 97-201 (Saint-Flour, 1993). | MR | Zbl
,[7] The shape of the limit set in Richardson's growth model, Ann. Probab. 9 (1981) 186-193. | MR | Zbl
, ,[8] Partial Differential Equations, American Mathematical Society, 1998. | MR | Zbl
,[9] Additive and Cancellative Interacting Particle Systems, Lecture Notes in Mathematics, Vol. 724, Springer, 1979. | MR | Zbl
,[10] First-passage percolation, network flows and electrical resistances, Z. Wahrsch. Verw. Gebiete 66 (1984) 335-366. | MR | Zbl
, ,[11] Nearest-neighbor Markov interaction processes on multidimensional lattices, Adv. Math. 9 (1972) 66-89. | MR | Zbl
,[12] Uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations, Indiana Univ. Math. J. 33 (1984) 721-748. | MR | Zbl
,[13] Aspects of first-passage percolation, in: Lecture Notes in Mathematics, Vol. 1180, Springer, 1986, pp. 125-264. | MR | Zbl
,[14] On the speed of convergence in first-passage percolation, Ann. Appl. Probab. 3 (1993) 296-338. | MR | Zbl
,[15] Scaling Limits of Interacting Particle Systems, Grundlehren der mathematischen Wissenschaften, Vol. 320, Springer, Berlin, 1999. | MR | Zbl
, ,[16] Microstructure and surface scaling in ballistic deposition at oblique incidence, Physical Review A 40 (1989) 2064-2077.
, ,[17] Columnar growth in oblique incidence ballistic deposition: Faceting, noise reduction, and mean-field theory, Physical Review A 43 (1991) 900-919.
, ,[18] Kinetic roughening of growing surfaces, in: Godrèche C. (Ed.), Solids far from Equilibrium, Cambridge University Press, 1991, pp. 479-582.
, ,[19] Interacting Particle Systems, Springer, New York, 1985. | MR | Zbl
,[20] Ballistic deposition on surfaces, Physical Review A 34 (1986) 5091-5103.
, , , ,[21] Continuum limit for some growth models, Preprint, 1999. | MR
,[22] Convex Analysis, Princeton University Press, 1970. | MR | Zbl
,[23] Non-equilibrium behaviour of a many particle process: Density profile and local equilibrium, Z. Wahrsch. Verw. Gebiete 58 (1981) 41-53. | MR | Zbl
,[24] Exact limiting shape for a simplified model of first-passage percolation on the plane, Ann. Probab. 26 (1998) 1232-1250. | MR | Zbl
,[25] Coupling the totally asymmetric simple exclusion process with a moving interface (I Escola Brasileira de Probabilidade, IMPA, Rio de Janeiro, 1997), Markov Process. Related Fields 4 (1998) 593-628. | MR | Zbl
,[26] Existence of hydrodynamics for the totally asymmetric simple K-exclusion process, Ann. Probab. 27 (1999) 361-415. | MR | Zbl
,[27] Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder, J. Statist. Phys. 95 (1999) 529-571. | MR | Zbl
, ,[28] First-passage percolation on the square lattice, Lecture Notes in Mathematics, Vol. 671, Springer, 1978. | MR | Zbl
, ,[29] Large Scale Dynamics of Interacting Particles, Springer, Berlin, 1991. | Zbl
,[30] Concentration of measure and isoperimetric inequalities in product spaces, Inst. Hautes Études Sci. Publ. Math. 81 (1995) 73-205. | Numdam | MR | Zbl
,