43 citations · 130 across the 29 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★ 5 cited
Quenched localisation in the Bouchaud trap model with regularly varying traps
David Croydon, Stephen Muirhead
This article describes the quenched localisation behaviour of the Bouchaud trap model on the integers with regularly varying traps. In particular, it establishes that for almost ev…