5 citations · 10 across the 7 of their papers we have counts for
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math.PR2019
Gaussian fluctuation for superdiffusive elephant random walks
Naoki Kubota, Masato Takei
Elephant random walk is a kind of one-dimensional discrete-time random walk with infinite memory: For each step, with probability the walker adopts one of his/her previous step…
math.PR2019
On the rate of convergence for Takagi class functions
Shoto Osaka, Masato Takei
We consider a generalized version of the Takagi function, which is one of the most famous example of nowhere differentiable continuous functions. We investigate a set of conditions…
math.PR2019
Phase transitions for edge-reinforced random walks on the half-line
Jiro Akahori, Andrea Collevecchio, Masato Takei
We study the behaviour of a class of edge-reinforced random walks {on }, with heterogeneous initial weights, where each edge weight can be updated only when the edge…