15 citations · 23 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2008★ 15 cited
Dynamics of k-core percolation in a random graph
Mami Iwata, Shin-ichi Sasa
We study the edge deletion process of random graphs near a k-core percolation point. We find that the time-dependent number of edges in the process exhibits critically divergent fl…
cond-mat.stat-mech2008★ 4 cited
Scale-free patterns at a saddle-node bifurcation in a stochastic system
Mami Iwata, Shin-ichi Sasa
We demonstrate that scale-free patterns are observed in a spatially extended stochastic system whose deterministic part undergoes a saddle-node bifurcation. Remarkably, the scale-f…
cond-mat.stat-mech2006★ 4 cited
Non-ergodic transitions in many-body Langevin systems: a method of dynamical system reduction
Mami Iwata, Shin-ichi Sasa
We study a non-ergodic transition in a many-body Langevin system. We first derive an equation for the two-point time correlation function of density fluctuations, ignoring the cont…