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The above strategy was adopted earlier by one of the authors for branching random walk in random environment [ 10 ]. There, the Markov chain alluded to above is simply the product
We prove a non-standard functional limit theorem for a two dimensional simple random walk on some randomly oriented lattices.. This random walk, already known to be transient, has
We prove an invariance principle for the quenched mean of the position of the walk on crossing level n ; there is a nice martingale structure in the background as will be evident in
At each time step, the mixer chooses a random vertex adjacent to its current position.. Then, with probability 1/2 it moves to that vertex, and with probability 1/2 it remains at
We give exact criteria for recurrence and transience, thus generalizing results by Benjamini and Wilson for once-excited random walk on Z d and by the author for multi-excited
Merkl and Rolles (see [14]) studied the recurrence of the original reinforced random walk, the so-called linearly bond-reinforced random walk, on two-dimensional graphs.. Sellke
A central limit theorem for random walk in a random environment on marked Galton-Watson trees.. Gabriel
This investigation is motivated by a result we proved recently for the random transposition random walk: the distance from the starting point of the walk has a phase transition from
