4 citations · 5 across the 7 of their papers we have counts for
10 papers
Recurrence and range of the balanced excited random walk M(2,1,2)
Shuo Qin
We prove that the planar balanced excited random walk is recurrent. This walk takes a horizontal simple random walk step on its first departure from each vertex and a pl…
Cover times and ranges of elephant random walks
Shuo Qin
We study cover times on discrete tori and ranges on for elephant random walks with memory parameter . In dimension one there is a phase transition at $p=3…
Mixing times of step-reinforced random walks
Yuval Peres, Shuo Qin
We study the mixing time of a non-Markovian process, the step-reinforced random walk (SRRW) on a finite group. This process differs from a classical random walk in that at each int…
Transition probabilities of step-reinforced random walks
Yuval Peres, Shuo Qin
The step-reinforced random walk (SRRW) either repeats a uniformly chosen past step or takes a fresh independent step. We consider a generalized SRRW on groups, where the selected p…
Survival probability in reactive gambling: monotonicity, singularity, and Hölder continuity
Aditya Guha Roy, Yuval Peres, Shuo Qin +1
A gambler starts with fortune and unit bet, then aims to double the bet after every win and halve it after every loss, while the actual bet is capped by the current fortune. Ea…
How two elephants can learn from each other
Rafik Aguech, Shuo Qin
We consider a two-elephant walking model in which the elephants interact dynamically. At each time step, each elephant determines its next move randomly based on its partner's past…
Step-reinforced random walks and one-half
Shuo Qin
Under suitable moment assumptions, we show that a genuinely d-dimensional step-reinforced random walk undergoes a phase transition between recurrence and transience in dimensions $…
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…
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…
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…