Bouchaud's model exhibits two different aging regimes in dimension one

Gerard Ben Arous, Jiri Cerny

Let E_i be a collection of i.i.d. exponential random variables. Bouchaud's model on Z is a Markov chain X(t) whose transition rates are given by w_{ij}=ν\exp(-β((1-a)E_i-aE_j)) if…