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math.PR2020
Almost sure behavior of linearly edge-reinforced random walks on the half-line
Masato Takei
We study linearly edge-reinforced random walks on , where each edge has the initial weight , and each time an edge is traversed, its weight is…
math.PR2020★ 12 cited
Limit theorems for the 'laziest' minimal random walk model of elephant type
Tatsuya Miyazaki, Masato Takei
We consider a minimal model of one-dimensional discrete-time random walk with step-reinforcement, introduced by Harbola, Kumar, and Lindenberg (2014): The walker can move forward (…