Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 7 (2002), paper no. 19, 191-197.
A Non-Ballistic Law of Large Numbers for Random Walks in I.I.D. Random Environment
We prove that random walks in i.i.d. random environments which oscillate in a given direction have velocity zero with respect to that direction. This complements existing results thus giving a general law of large numbers under the only assumption of a certain zero-one law, which is known to hold if the dimension is two.
Electron. Commun. Probab., Volume 7 (2002), paper no. 19, 191-197.
Accepted: 30 September 2002
First available in Project Euclid: 16 May 2016
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Zerner, Martin. A Non-Ballistic Law of Large Numbers for Random Walks in I.I.D. Random Environment. Electron. Commun. Probab. 7 (2002), paper no. 19, 191--197. doi:10.1214/ECP.v7-1060. https://projecteuclid.org/euclid.ecp/1463434786