15 citations · 44 across the 6 of their papers we have counts for
6 papers
Theoretical analysis for critical fluctuations of relaxation trajectory near a saddle-node bifurcation
Mami Iwata, Shin-ichi Sasa
A Langevin equation whose deterministic part undergoes a saddle-node bifurcation is investigated theoretically. It is found that statistical properties of relaxation trajectories i…
Singular perturbation near mode-coupling transition
Mami Iwata, Shin-ichi Sasa
We study the simplest mode-coupling equation which describes the time correlation function of the spherical p-spin glass model. We formulate a systematic perturbation theory near t…
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…
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…
A theory for critically divergent fluctuations of dynamical events at non-ergodic transitions
Mami Iwata, Shin-ichi Sasa
We theoretically study divergent fluctuations of dynamical events at non-ergodic transitions. We first focus on the finding that a non-ergodic transition can be described as a sadd…
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…