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arXiv · 2504.08485

Iterated random walks in random scenery (PAPAPA)

Nadine Guillotin-Plantard·Françoise Pène·Frédérique Watbled
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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.

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Nadine Guillotin-Plantard, Françoise Pène, Frédérique Watbled. 2025-04-11. Iterated random walks in random scenery (PAPAPA). https://arxiv.org/abs/2504.08485

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