On the survival probability in the Matheron - De Marsily model
Nadine Guillotin-Plantard, Fran\c{c}oise P\`ene
TL;DR
This paper investigates the behavior of random walks in random scenery, providing a precise estimate of the survival probability in the Matheron-De Marsily model, confirming previous conjectures.
Contribution
It offers a new, precise estimate of the survival probability in the Matheron-De Marsily model, advancing understanding of random walks in random environments.
Findings
Confirmed conjectures by Majumdar and Redner.
Provided a precise estimate of survival probability.
Analyzed the range and first return time of random walks in random scenery.
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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Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Diffusion and Search Dynamics