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arXiv · 1512.01069

On the survival probability in the Matheron - De Marsily model

Nadine Guillotin-Plantard·Françoise Pène
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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.

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Nadine Guillotin-Plantard, Françoise Pène. 2015-12-03. On the survival probability in the Matheron - De Marsily model. https://arxiv.org/abs/1512.01069

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