41 citations · 81 across the 15 of their papers we have counts for
15 papers
Comparison of limit shapes for Bernoulli first-passage percolation
Naoki Kubota, Masato Takei
We consider Bernoulli first-passage percolation on the -dimensional hypercubic lattice with . The passage time of edge is with probability and with pro…
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…
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…
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 (…
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…
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…