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- W3105292261 abstract "Nous étudions la percolation de niveau pour le champ libre gaussien sur des arbres transients, par exemple sur des arbres de Galton–Watson surcritiques conditionnés à survivre. Des théorèmes de type isomorphisme de Dynkin récemment obtenus offrent un outil de comparaison avec la percolation de l’ensemble vacant pour les entrelacs aléatoires, qui se trouve être plus simple à étudier dans le cas des arbres. Si $h_{*}$ et $u_{*}$ désignent les valeurs critiques respectives de la percolation de niveau du champ libre gaussien, et de l’ensemble vacant des entrelacs aléatoires, nous montrons dans un cadre assez général que $h_{*}<sqrt{2u}_{*}$, mais présentons un exemple pour lequel on a les égalités $0=h_{*}=u_{*}$. Nous obtenons aussi des conditions suffisantes qui impliquent que $h_{*}>0$." @default.
- W3105292261 created "2020-11-23" @default.
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- W3105292261 date "2018-02-01" @default.
- W3105292261 modified "2023-09-23" @default.
- W3105292261 title "Level-set percolation for the Gaussian free field on a transient tree" @default.
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- W3105292261 doi "https://doi.org/10.1214/16-aihp799" @default.
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