43 citations · 130 across the 29 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.PR2014★ 7 cited
Localisation in the Bouchaud-Anderson Model
Stephen Muirhead, Richard Pymar
It is well-known that both branching random walk models and trap models can exhibit intermittency and localisation phenomena; the prototypical examples being the parabolic Anderson…
math.PR2014
Functional limit theorems for the Bouchaud trap model with slowly varying traps
David Croydon, Stephen Muirhead
We consider the Bouchaud trap model on the integers in the case that the trap distribution has a slowly varying tail at infinity. Our main result is a functional limit theorem for…
math.PR2014
Two-site localisation in the Bouchaud trap model with slowly varying traps
Stephen Muirhead
We consider the Bouchaud trap model on the integers in the case that the trap distribution has a slowly varying tail at infinity. We prove that the model eventually localises on ex…