Central limit theorem for excited random walk in the recurrent regime. (English) Zbl 1276.60110
Summary: We consider excited random walk on a strip. We assume that the cookies are positive and that the total expected drift per site is less than \(1/L\) where \(L\) is the width of the strip. We prove a quenched limit theorem claiming that the position of the walker converges after the diffusive rescaling to a perturbed Brownian Motion.
MSC:
| 60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
| 60F05 | Central limit and other weak theorems |
