72 citations · 168 across the 4 of their papers we have counts for
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math.PR2005
Asymptotic behavior of edge-reinforced random walks
Franz Merkl, Silke W. W. Rolles
In this article, we study linearly edge-reinforced random walk on general multi-level ladders for large initial edge weights. For infinite ladders, we show that the process can be…
math.PR2005★ 22 cited
Edge-reinforced random walk on a ladder
Franz Merkl, Silke W. W. Rolles
We prove that the edge-reinforced random walk on the ladder with initial weights is recurrent. The proof uses a known representation of the edge…