On the survival probability in the Matheron - De Marsily model
Probability
2015-12-04 v1
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.
Keywords
Cite
@article{arxiv.1512.01069,
title = {On the survival probability in the Matheron - De Marsily model},
author = {Nadine Guillotin-Plantard and Françoise Pène},
journal= {arXiv preprint arXiv:1512.01069},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1508.02542