Time Transformation for Random Walks in the Quenched Trap Model

We investigate subdiffusion in the quenched trap model by mapping the problem onto a new stochastic process: Brownian motion stopped at the operational time S-alpha = Sigma(infinity)(x)=-infinity(n(x))(alpha) where n(x) is the visitation number at site x and alpha is a measure of the disorder. In the limit of zero temperature we recover the renormalization group solution found by Monthus. Our approach is an alternative to the renormalization group and is capable of dealing with any disorder strength.