2 citations · 2 across the 2 of their papers we have counts for
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Einstein relation for random walk in a one-dimensional percolation model
Nina Gantert, Matthias Meiners, Sebastian Müller
We consider random walks on the infinite cluster of a conditional bond percolation model on the infinite ladder graph. In a companion paper, we have shown that if the random walk i…
The speed of critically biased random walk in a one-dimensional percolation model
Jan-Erik Lübbers, Matthias Meiners
We consider biased random walks in a one-dimensional percolation model. This model goes back to Axelson-Fisk and Häggström and exhibits the same phase transition as biased random w…
Fluctuations of Biggins' martingales at complex parameters
Alexander Iksanov, Konrad Kolesko, Matthias Meiners
The long-term behavior of a supercritical branching random walk can be described and analyzed with the help of Biggins' martingales, parametrized by real or complex numbers. The st…