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math.PR2023
Continuous-time vertex-reinforced random walks on complete-like graphs
Shuo Qin, Pierre Tarres
We introduce the continuous-time vertex-reinforced random walk (cVRRW) as a continuous-time version of the vertex-reinforced random walk (VRRW), which might open a new perspective…
math.PR2023★ 1 cited
Interacting urn models with strong reinforcement
Shuo Qin
For the interacting urn model with polynomial reinforcement, it has been conjectured that almost surely one color monopolizes all the urns if the interaction parameter . We di…
math.PR2023★ 4 cited
Recurrence and transience of multidimensional elephant random walks
Shuo Qin
We prove a conjecture by Bertoin that the multi-dimensional elephant random walk on () is transient and the expected number of zeros is finite. We also provi…