24 citations · 89 across the 12 of their papers we have counts for
Showing 2017 · math.PRShow all
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math.PR2017★ 1 cited
An upper bound on the size of avoidance couplings
Erik Bates, Lisa Sauermann
We show that a coupling of non-colliding simple random walkers on the complete graph on vertices can include at most walkers. This improves the only previously kno…
math.PR2017★ 17 cited
Localization of directed polymers with general reference walk
Erik Bates
Directed polymers in random environment have usually been constructed with a simple random walk on the integer lattice. It has been observed before that several standard results fo…