Masato Takei

activity

20062022

most citedGaussian fluctuation for superdiffusive elephant random walks

41 citations · 81 across the 15 of their papers we have counts for

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2 papers · 1 filter

math.PR2022

Comparison of limit shapes for Bernoulli first-passage percolation

Naoki Kubota, Masato Takei

We consider Bernoulli first-passage percolation on the $d$ -dimensional hypercubic lattice with $d \geq 2$ . The passage time of edge $e$ is $0$ with probability $p$ and $1$ with pro…

math.PR2022★ 5 cited

Rate of moment convergence in the central limit theorem for the elephant random walk

Masafumi Hayashi, So Oshiro, Masato Takei

The one-dimensional elephant random walk is a typical model of discrete-time random walk with step-reinforcement, and is introduced by Schütz and Trimper (2004). It has a parameter…