On the survival probability in the Matheron - De Marsily model
arXiv:1512.01069
Abstract
We are interested in the behaviour of the range and of the first return time to the origin of random walks in random scenery. As a byproduct a precise estimate of the survival probability in the Matheron and de Marsily model is obtained. Our result confirms the conjectures announced by Majumdar and Redner.
arXiv admin note: substantial text overlap with arXiv:1508.02542