@article{AIHPB_2000__36_2_127_0, author = {Guillotin, N.}, title = {Asymptotics of a dynamic random walk in a random scenery : {I.} {Law} of large numbers}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {127--151}, publisher = {Gauthier-Villars}, volume = {36}, number = {2}, year = {2000}, mrnumber = {1751655}, zbl = {0969.60045}, language = {en}, url = {http://www.numdam.org/item/AIHPB_2000__36_2_127_0/} }
TY - JOUR AU - Guillotin, N. TI - Asymptotics of a dynamic random walk in a random scenery : I. Law of large numbers JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2000 SP - 127 EP - 151 VL - 36 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_2000__36_2_127_0/ LA - en ID - AIHPB_2000__36_2_127_0 ER -
%0 Journal Article %A Guillotin, N. %T Asymptotics of a dynamic random walk in a random scenery : I. Law of large numbers %J Annales de l'I.H.P. Probabilités et statistiques %D 2000 %P 127-151 %V 36 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_2000__36_2_127_0/ %G en %F AIHPB_2000__36_2_127_0
Guillotin, N. Asymptotics of a dynamic random walk in a random scenery : I. Law of large numbers. Annales de l'I.H.P. Probabilités et statistiques, Volume 36 (2000) no. 2, pp. 127-151. http://www.numdam.org/item/AIHPB_2000__36_2_127_0/
[1] On some diophantine inequalities involving the exponential function, Canad. J. Math. 17 (1965) 616-626. | MR | Zbl
,[2] A central limit theorem for two-dimensional random walks in random sceneries, Ann. Probab. 17 (1) (1989) 108-115. | MR | Zbl
,[3] Dynamic random walk in a random scenery, C. R. Acad. Sci. Paris Série I 324 (1997) 231-234. | MR | Zbl
,[4] Asymptotics of a dynamic random walk in a random scenery: II. A functional limit theorem, Markov Processes and Related Fields, to appear. | MR | Zbl
,[5] Quasicrystals, aperiodicity and lattice systems, Doctoral Dissertation, Rijksuniversiteit, Groningen, 1992.
,[6] A limit theorem related to a new class of self-similar processes, Z. Wahrsch. Verw. Gebiete 50 (1979) 5-25. | MR | Zbl
, ,[7] Continued Fractions, Chicago University Press, 1964. | MR | Zbl
,[8] Extension of the Pirogov-Sinai theory to a class of quasiperiodic interactions, Comm. Math. Phys. 118 (1988) 365-383. | MR | Zbl
, , ,[9] Uniform Distribution of Sequences, Wiley, 1974. | MR | Zbl
, ,[10] Familles de suites à discrépance faible obtenues par itérations de transformations de [0, 1], C. R. Acad. Sci. Paris Série I 308 (1989) 507-509. | MR | Zbl
, ,[11] Systèmes Dynamiques, Presses de l'École Polytechnique, 1994.
,[12] Limit theorems for random walks with dynamical random transitions, Probab. Theory Related Fields 100 (1994) 285-300. | MR | Zbl
, , ,[13] Diophantine Approximation and its Applications, Academic Press, 1973. | Zbl
,[ 14] Sequences with low discrepancy and pseudo-random numbers: theoretical remarks and numerical tests, Prepublication, 1991.
, ,[15] Simultaneous approximation to algebraic numbers by rationals, Acta Math. 125 (1970) 189-201. | MR | Zbl
,[16] Random walks in a random environment, Ann. Probab. 3 (1) (1975) 1-31. | MR | Zbl
,[17] Principles of Random Walk, 2nd ed., Springer, New York, 1976. | Zbl
,