3 citations · 5 across the 6 of their papers we have counts for
8 papers · 1 filter
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…
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…
Phase transitions for edge-reinforced random walks on the half-line
Jiro Akahori, Andrea Collevecchio, Masato Takei
We study the behaviour of a class of edge-reinforced random walks {on }, with heterogeneous initial weights, where each edge weight can be updated only when the edge…