Random interlacements for vertex-reinforced jump processes

Merkl, Franz; Rolles, Silke W. W. und Tarres, Pierre (2021): Random interlacements for vertex-reinforced jump processes. In: Annales De L Institut Henri Poincare-Probabilites et Statistiques, Vol. 57, No. 2: pp. 1058-1080

Abstract

We introduce random interlacements for transient vertex-reinforced jump processes on a general graph G. Using increasing finite subgraphs G(n) 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0246-0203
• Language: English