Quenched localisation in the Bouchaud trap model with regularly varying   traps
  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 every trapping landscape there exist arbitrarily large times at which the system is highly localised on one site, and also arbitrarily large times at which the system is completely delocalised. 
David Croydon, Stephen Muirhead
math.PR