Stable fluctuations for ballistic random walks in random environment on Z
Stable fluctuations for ballistic random walks in random environment on Z
We consider transient random walks in random environment on $\Z$ in the positive speed (ballistic) and critical zero speed regimes. A classical result of Kesten, Kozlov and Spitzer proves that the hitting time of level $n$, after proper centering and normalization, converges to a completely asymmetric stable distribution, but does …