746 citations · 2.2k across the 41 of their papers we have counts for
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Discontinuous Transition of a Multistage Independent Cascade Model on Networks
Takehisa Hasegawa, Koji Nemoto
We propose a multistage version of the independent cascade model, which we call a multistage independent cascade (MIC) model, on networks. This model is parameterized by two probab…
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…
Criticality governed by the stable renormalization fixed point of the Ising model in the hierarchical small-world network
Tomoaki Nogawa, Takehisa Hasegawa, Koji Nemoto
We study the Ising model in a hierarchical small-world network by renormalization group analysis, and find a phase transition between an ordered phase and a critical phase, which i…
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…
Robustness of correlated networks against propagating attacks
Takehisa Hasegawa, Keita Konno, Koji Nemoto
We investigate robustness of correlated networks against propagating attacks modeled by a susceptible-infected-removed model. By Monte-Carlo simulations, we numerically determine t…