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arXiv · 1903.07910

Random interlacements for vertex-reinforced jump processes

Franz Merkl·Silke W. W. Rolles·Pierre Tarrès
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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 $G_n$ observed in a finite window to the random interlacement observed in the same window.

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Franz Merkl, Silke W. W. Rolles, Pierre Tarrès. 2019-03-19. Random interlacements for vertex-reinforced jump processes. https://arxiv.org/abs/1903.07910

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