25 citations · 168 across the 24 of their papers we have counts for
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Absence of the non-percolating phase for percolation on the non-planar Hanoi network
Takehisa Hasegawa, Tomoaki Nogawa
We investigate bond percolation on the non-planar Hanoi network (HN-NP), which was studied in [Boettcher et al. Phys. Rev. E 80 (2009) 041115]. We calculate the fractal exponent of…
Generalized scaling theory for critical phenomena including essential singularity and infinite dimensionality
Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto
We propose a generic scaling theory for critical phenomena that includes power-law and essential singularities in finite and infinite dimensional systems. In addition, we clarify i…
Usefulness of an equal-probability assumption for out-of-equilibrium states: a master equation approach
Tomoaki Nogawa, Nobuyasu Ito, Hiroshi Watanabe
We examine the effectiveness of assuming an equal probability for states far from equilibrium. For this aim, we propose a method to construct a master equation for extensive variab…