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math.PR2015
Quenched localisation in the Bouchaud trap model with slowly varying traps
David Croydon, Stephen Muirhead
We consider the quenched localisation of the Bouchaud trap model on the positive integers in the case that the trap distribution has a slowly varying tail at infinity. Our main res…
math.PR2015
Central limit theorems for the spectra of classes of random fractals
Philippe H. A. Charmoy, David A. Croydon, Ben M. Hambly
We discuss the spectral asymptotics of some open subsets of the real line with random fractal boundary and of a random fractal, the continuum random tree. In the case of open subse…