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arxiv: 1903.07910 · v1 · pith:GYMB3PHYnew · submitted 2019-03-19 · 🧮 math.PR

Random interlacements for vertex-reinforced jump processes

classification 🧮 math.PR
keywords jumprandomvertex-reinforcedfiniteinterlacementsobservedprocesseswindow
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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 $G_n$ observed in a finite window to the random interlacement observed in the same window.

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