Slow movement of random walk in random environment on a regular tree. (English) Zbl 1124.60083
Summary: We consider a recurrent random walk in a random environment on a regular tree. Under suitable general assumptions concerning the distribution of the environment, we show that the walk exhibits an unusually slow movement: The order of magnitude of the walk in the first \(n\) steps is \((\log n)^3\).
MSC:
| 60K37 | Processes in random environments |
| 60G50 | Sums of independent random variables; random walks |
| 60J80 | Branching processes (Galton-Watson, birth-and-death, etc.) |
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