Iterated random walks in random scenery (PAPAPA)
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909939216154624 |
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| author | Guillotin-Plantard, Nadine Pène, Françoise Watbled, Frédérique |
| author_facet | Guillotin-Plantard, Nadine Pène, Françoise Watbled, Frédérique |
| contents | 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{é}phane Le Borgne. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08485 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Iterated random walks in random scenery (PAPAPA) Guillotin-Plantard, Nadine Pène, Françoise Watbled, Frédérique Probability 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{é}phane Le Borgne. |
| title | Iterated random walks in random scenery (PAPAPA) |
| topic | Probability |
| url | https://arxiv.org/abs/2504.08485 |