Vertex reinforced non-backtracking random walks: an example of path formation
نویسندگان
چکیده
منابع مشابه
Dynamics of Vertex - Reinforced Random Walks Michel
We generalize a result from Volkov (2001,[21]) and prove that, on an arbitrary graph of bounded degree (G, ∼) and for any symmetric reinforcement matrix a = (a i,j) i∼j , the vertex-reinforced random walk (VRRW) eventually localizes with positive probability on subsets which consist of a complete d-partite subgraph plus its outer boundary. We first show that, in general, any stable equilibrium ...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2018
ISSN: 1083-6489
DOI: 10.1214/18-ejp167