20 citations · 39 across the 10 of their papers we have counts for
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math.PR2007
The infinite valley for a recurrent random walk in random environment
Nina Gantert, Yuval Peres, Zhan Shi
We consider a one-dimensional recurrent random walk in random environment (RWRE). We show that the - suitably centered - empirical distributions of the RWRE converge weakly to a ce…
math.PR2007
Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
Yueyun Hu, Zhan Shi
We establish a second-order almost sure limit theorem for the minimal position in a one-dimensional super-critical branching random walk, and also prove a martingale convergence th…