3 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
Periodicity for the Hadamard walk on cycles
Norio Konno, Yuki Shimizu, Masato Takei
The present paper treats the period T_N of the Hadamard walk on a cycle C_N with N vertices. Dukes (2014) considered the periodicity of more general quantum walks on C_N and showed…
Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations
Yasunari Higuchi, Masato Takei, Yu Zhang
We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at/near critical external fields. We show that all scaling relations,…
On Traversable Length inside Semi-Cylinder in 2D supercritical Bond Percolation
Nobuaki Sugimine, Masato Takei
We investigate a limit theorem on traversable length inside semi-cylinder in the 2-dimensional supercritical Bernoulli bond percolation, which gives an extension of Theorem 2 in Gr…