41 citations · 59 across the 13 of their papers we have counts for
13 papers
Differences between Lyapunov exponents for the simple random walk in Bernoulli potentials
Naoki Kubota
We consider the simple random walk on the -dimensional lattice (), traveling in potentials which are Bernoulli distributed. The so-called Lyapunov expon…
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…
Strict comparison for the Lyapunov exponents of the simple random walk in random potentials
Naoki Kubota
We consider the simple random walk in i.i.d. nonnegative potentials on the -dimensional cubic lattice (). In this model, the so-called Lyapunov exponent…
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…
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…
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…
Deviation bounds for the first passage time in the frog model
Naoki Kubota
We consider the so-called frog model with random initial configurations. The dynamics of this model is described as follows: Some particles are randomly assigned on any site of the…
Concentrations for the simple random walk in unbounded nonnegative potentials
Naoki Kubota
We consider the simple random walk in i.i.d. nonnegative potentials on the multidimensional cubic lattice. Our goal is to investigate the cost paid by the simple random walk for tr…
Rate of convergence in first-passage percolation under low moments
Michael Damron, Naoki Kubota
We consider first-passage percolation on the dimensional cubic lattice for ; that is, we assign independently to each edge a nonnegative random weight with…
Upper bounds on the non-random fluctuations in first passage percolation with low moment conditions
Naoki Kubota
We consider first passage percolation with i.i.d. weights on edges of the d-dimensional cubic lattice. Under the assumptions that a weight is equal to zero with probability smaller…
Quenched large deviations for multidimensional random walk in random environment with holding times
Ryoki Fukushima, Naoki Kubota
We consider a random walk in random environment with random holding times, that is, the random walk jumping to one of its nearest neighbors with some transition probability after a…
Quenched invariance principle for simple random walk on discrete point processes
Naoki Kubota
We consider the simple random walk on random graphs generated by discrete point processes. This random graph has a random subset of a cubic lattice as the vertices and lines betwee…
The law of the iterated logarithm for a class of transient random walk in random environment
Naoki Kubota
There is a condition (T'), such that it is the necessary condition that a random walk in random environment is ballistic. Under this condition, we show the law of the iterated loga…