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2019

Random interlacements for vertex-reinforced jump processes

Merkl, Franz, Rolles, Silke W. W., Tarrès, Pierre

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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.

Random interlacements for vertex-reinforced jump processes · Around

Built on

Continuous time vertex-reinforced jump processes
B. Davis and S. Volkov · 2002
Earlier work this paper cites.
Vertex-reinforced jump processes on trees and finite graphs
B. Davis and S. Volkov · 2004
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Interlacement percolation on transient weighted graphs
A. Teixeira · 2009
Earlier work this paper cites.
Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
M. Disertori, T. Spencer, and M.R. Zirnbauer · 2010
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