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math.PR2019★ 1 cited
Quenched and averaged large deviation rate functions for random walks in random environments: the impact of disorder
Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramirez +1
In 2003, Varadhan [V03] developed a robust method for proving quenched and averaged large deviations for random walks in a uniformly elliptic and i.i.d. environment (RWRE) on $\mat…
math.PR2019
A Scaling Limit for the Cover Time of the Binary Tree
Aser Cortines, Oren Louidor, Santiago Saglietti
We consider a continuous time random walk on the rooted binary tree of depth with all transition rates equal to one and study its cover time, namely the time until all vertices…