453 citations · 3.4k across the 81 of their papers we have counts for
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Advection of passive particles over flow networks
Shigefumi Hata, Hiroya Nakao, Alexander S. Mikhailov
The problem of stochastic advection of passive particles by circulating conserved flows on networks is formulated and investigated. The particles undergo transitions between the no…
Dynamics of Limit Cycle Oscillator Subject to General Noise
Denis S. Goldobin, Jun-nosuke Teramae, Hiroya Nakao +1
The phase description is a powerful tool for analyzing noisy limit cycle oscillators. The method, however, has found only limited applications so far, because the present theory is…
Multi-scaling properties of truncated Levy flights
Hiroya Nakao
Multi-scaling properties of one-dimensional truncated Levy flights are studied. Due to the broken self-similarity of the distribution of jumps, they are expected to possess multi-s…
Asymptotic power law of moments in a random multiplicative process with weak additive noise
Hiroya Nakao
It is well known that a random multiplicative process with weak additive noise generates a power-law probability distribution. It has recently been recognized that this process exh…