25 citations · 168 across the 24 of their papers we have counts for
24 papers
Berezinskii-Kosterlitz-Thouless-type Transition in Site Percolation on the Diamond Hierarchical Lattice
Takehisa Hasegawa, Kazuki Wataya, Tomoaki Nogawa
We study site percolation on the diamond hierarchical lattice, a finite-dimensional fractal network, using an exact generating-function analysis. In contrast to bond percolation, s…
Dimensional Reduction of Dynamical Systems by Machine Learning: Automatic Generation of the Optimum Extensive Variables and Their Time-Evolution Map
Tomoaki Nogawa
A framework is proposed to generate a phenomenological model that extracts the essence of a dynamical system (DS) with large degrees of freedom using machine learning. For a given…
Renormalization-group theory of the abnormal singularities at the critical-order transition in bond percolation on pointed hierarchical graphs
Tomoaki Nogawa
We study the singularity of the order parameter at the transition between a critical phase and an ordered phase of bond percolation on pointed hierarchical graphs. In pointed hiera…
Local cluster-size statistics in the critical phase of bond percolation on the Cayley tree
Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto
We study bond percolation of the Cayley tree (CT) by focusing on the probability distribution function (PDF) of a local variable, namely, the size of the cluster including a select…
Critical Phase in Complex Networks: a Numerical Study
Takehisa Hasegawa, Tomoaki Nogawa, Koji Nemoto
We compare phase transition and critical phenomena of bond percolation on Euclidean lattices, nonamenable graphs, and complex networks. On a Euclidean lattice, percolation shows a…
Transition-type change between an inverted Berezinskii-Kosterlitz-Thouless transition and an abrupt transition in the bond percolation on a random hierarchical small-world network
Tomoaki Nogawa, Takehisa Hasegawa
We study bond percolation on a one-parameter family of hierarchical small-world network, and find a meta-transition between the inverted BKT transition and the abrupt transition dr…