On the survival probability in the Matheron - De Marsily model
classification
🧮 math.PR
keywords
marsilymatheronmodelprobabilityrandomsurvivalannouncedbehaviour
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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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