7 citations · 23 across the 9 of their papers we have counts for
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math.PR2016
A new phase transition in the parabolic Anderson model with partially duplicated potential
Stephen Muirhead, Richard Pymar, Nadia Sidorova
We investigate a variant of the parabolic Anderson model, introduced in previous work, in which an i.i.d.\! potential is partially duplicated in a symmetric way about the origin, w…
math.PR2016★ 1 cited
Delocalising the parabolic Anderson model through partial duplication of the potential
Stephen Muirhead, Richard Pymar, Nadia Sidorova
The parabolic Anderson model on with i.i.d. potential is known to completely localise if the distribution of the potential is sufficiently heavy-tailed at infinity.…
math.PR2016
Mixing times for exclusion processes on hypergraphs
Stephen B. Connor, Richard Pymar
We introduce a natural extension of the exclusion process to hypergraphs and prove an upper bound for its mixing time. In particular we show the existence of a constant such th…