The almost sure central limit theorem for one-dimensional nearest-neighbour random walks in a space-time random environment
2004 ◽
Vol 41
(01)
◽
pp. 83-92
◽
Keyword(s):
The central limit theorem for random walks on ℤ in an i.i.d. space-time random environment was proved by Bernabeiet al.for almost all realization of the environment, under a small randomness assumption. In this paper, we prove that, in the nearest-neighbour case, when the averaged random walk is symmetric, the almost sure central limit theorem holds for anarbitrarylevel of randomness.
2004 ◽
Vol 41
(1)
◽
pp. 83-92
◽
Keyword(s):
1994 ◽
Vol 79
(1)
◽
pp. 73-92
◽
Keyword(s):
2006 ◽
Vol 139
(1-2)
◽
pp. 41-64
◽
Keyword(s):
1993 ◽
Vol 37
(3)
◽
pp. 553-557
◽
Keyword(s):
2014 ◽
Vol 51
(4)
◽
pp. 1051-1064
◽
2020 ◽
Vol 130
(8)
◽
pp. 4892-4909
Keyword(s):
1984 ◽
Vol 30
(2)
◽
pp. 169-173
◽
Keyword(s):