Naoki Kubota

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20102022

most citedGaussian fluctuation for superdiffusive elephant random walks

41 citations · 59 across the 13 of their papers we have counts for

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math.PR2022

Differences between Lyapunov exponents for the simple random walk in Bernoulli potentials

Naoki Kubota

We consider the simple random walk on the $d$ -dimensional lattice $Z^{d}$ ( $d \geq 1$ ), traveling in potentials which are Bernoulli distributed. The so-called Lyapunov expon…

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…