Abstract
We consider d independent walkers in the same random environment in Z. Our assumption on the law of the environment is such that a single walker is transient to the right but subballistic. We show that — no matter what d is — the d walkers meet infinitely often, i.e. there are almost surely infinitely many times for which all the random walkers are at the same location.
Original language | English |
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Article number | 100 |
Journal | Electronic Journal of Probability |
Volume | 24 |
DOIs | |
State | Published - 2019 |
Keywords
- Collisions
- Random environment
- Random walk
- Recurrence
- Transience