66 citations · 129 across the 23 of their papers we have counts for
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math.PR2019
Noise sensitivity and exceptional times of transience for a simple symmetric random walk in one dimension
Martin Prigent, Matthew I. Roberts
We define a dynamical simple symmetric random walk in one dimension, and show that there almost surely exist exceptional times at which the walk tends to infinity. This is in contr…
math.PR2019
Cover time for branching random walks on regular trees
Matthew I. Roberts
Let be the regular tree in which every vertex has exactly neighbours. Run a branching random walk on , in which at each time step every particle gives birth to a ra…