Naoki Kubota

activity

20182022

collaborators

5 papers

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…

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 $α$ the walker adopts one of his/her previous step…

math.PR2018

Slowdown estimates for one-dimensional random walks in random environment with holding times

Amir Dembo, Ryoki Fukushima, Naoki Kubota

We consider a one dimensional random walk in random environment that is uniformly biased to one direction. In addition to the transition probability, the jump rate of the random wa…

math.PR2018

Continuity result for the rate function of the simple random walk on supercritical percolation clusters

Naoki Kubota

We consider the simple random walk on supercritical percolation clusters in the multidimensional cubic lattice. In this model, a quenched large deviation principle holds for the po…