On the dynamics of trap models in ℤ<sup> <i>d</i> </sup>
On the dynamics of trap models in ℤ<sup> <i>d</i> </sup>
We consider trap models in ℤd. These are stochastic processes in a random environment as follows. The environment is given by a family τ=(τx, x∈ℤd) of positive independent and identically distributed random variables in the basin of attraction of an α-stable law, 0<α<1. Given τ, our process is a continuous …