Random interlacements for vertex-reinforced jump processes

Autor:	Pierre Tarrès, Silke W. W. Rolles, Franz Merkl
Rok vydání:	2021
Předmět:	Statistics and Probability Vertex (graph theory) Discrete mathematics Mathematics::Combinatorics Convergence (routing) Jump Window (computing) Graph (abstract data type) Transient (computer programming) Boundary value problem Statistics Probability and Uncertainty Jump process Mathematics
Zdroj:	Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 57
ISSN:	0246-0203
Popis:	We introduce random interlacements for transient vertex-reinforced jump processes on a general graph G. Using increasing finite subgraphs Gn of G with wired boundary conditions, we show convergence of the vertex-reinforced jump process on Gn observed in a finite window to the random interlacement observed in the same window.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::aa2ff6214ff41499e4a240ee18872636 https://doi.org/10.1214/20-aihp1107 Zobrazit plný text záznamu