22 citations · 50 across the 8 of their papers we have counts for
5 papers · 1 filter
Generalized Lyapunov exponent as a unified characterization of dynamical instabilities
Takuma Akimoto, Masaki Nakagawa, Soya Shinkai +1
The Lyapunov exponent characterizes an exponential growth rate of the difference of nearby orbits. A positive Lyapunov exponent is a manifestation of chaos. Here, we propose the Ly…
Dissipative Heat Decomposition in Stochastic Energetics: Implication of the Instantaneous Diffusion Coefficient in Nonequilibrium Steady States
Soya Shinkai
We give a decomposition expression for dissipative heat using the instantaneous diffusion coefficient in a nonequilibrium steady state. The dissipative heat can be expressed using…
On stable laws in a one-dimensional intermittent map equipped with a uniform invariant measure
Soya Shinkai, Yoji Aizawa
We investigate ergodic-theoretical quantities and large deviation properties of one-dimensional intermittent maps, that have not only an indifferent fixed point but also a singular…
Spectrum and 1-Stable Law in One-Dimensional Intermittent Map with Uniform Invariant Measure and Nekhoroshev Stability
Soya Shinkai, Yoji Aizawa
We investigate ergodic properties of a one-dimensional intermittent map that has not only an indifferent fixed point but also a singular structure such that a uniform measure is in…
Energetics of single active diffusion trajectories
Soya Shinkai, Yuichi Togashi
The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. Ho…