Iterated random walks in random scenery (PAPAPA)
Probability
2025-12-03 v2
Abstract
We establish a limit theorem for a new model of 3-dimensional random walk in an inhomogeneous lattice with random orientations. This model can be seen as a 3dimensional version of the Matheron and de Marsily model [12]. This new model leads us naturally to the study of iterated random walk in random scenery, which is a new process that can be described as a random walk in random scenery evolving in a second random scenery. We use the french acronym PAPAPA for this new process and answer a question about its stochastic behaviour asked about twenty years ago by St{\'e}phane Le Borgne.
Cite
@article{arxiv.2504.08485,
title = {Iterated random walks in random scenery (PAPAPA)},
author = {Nadine Guillotin-Plantard and Françoise Pène and Frédérique Watbled},
journal= {arXiv preprint arXiv:2504.08485},
year = {2025}
}
Comments
Version accept{\'e}e pour publication {\`a} SPA