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Space-time current process for independent random walks in one dimension
Independent random walks hydrodynamic limit fluctuations large deviation
2009/6/12
In a system made up of independent random walks fluctuations of order
1/4 n from the hydrodynamic limit come from particle current across characteristics.
We show that a two-parameter space-time par...
Recurrent Graphs where Two Independent Random Walks Collide Finitely Often
Random walk Comb lattice collisions
2009/4/28
We present a class of graphs where simple random walk is recurrent, yet two independent walkers meet only finitely many times almost surely. In particular, the comb lattice, obtained from $Z^2$ by rem...