| Issue |
ESAIM: ProcS
Volume 68, 2020
Journées MAS 2018 - Sampling and Processes
|
|
|---|---|---|
| Page(s) | 35 - 51 | |
| DOI | https://doi.org/10.1051/proc/202068003 | |
| Published online | 10 June 2020 | |
Random walks in random sceneries and related models*
Université de Brest, LMBA, UMR CNRS 6205, IUF
We present random walks in random sceneries as well as three related models: U-statistics indexed by random walks, a model of stratified media with inhomogeneous layers (random one-way streets) and the one-dimensional Lévy-Lorentz gas (random roundabouts on a line). We present in particular results obtained in collaboration with Castell, Guillotin-Plantard, Br. Schapira, Franke, Wendler, Aurzada, Bianchi and Lenci.
Résumé
Nous présentons le modèle des promenades aléatoires en paysages aléatoires ainsi que trois autres modèles connexes: U-statistiques indexées par une marche aléatoire, un modèle de marche aléatoire sur un réseau stratifié avec orientation aléatoire des strates (sens de circulation aléatoires) et finalement le modèle du gaz de Lévy-Lorentz unidimensionnel (ronds-points aléatoires sur une droite). Nous présentons notamment des résultats obtenus en collaboration avec Castell, Guillotin-Plantard, Br. Schapira, Franke, Wendler, Aurzada, Bianchi et Lenci.
© EDP Sciences, SMAI 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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