22 citations · 50 across the 8 of their papers we have counts for
4 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…
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…
Distributional behavior of time averages of non- observables in one-dimensional intermittent maps with infinite invariant measures
Takuma Akimoto, Soya Shinkai, Yoji Aizawa
In infinite ergodic theory, two distributional limit theorems are well-known. One is characterized by the Mittag-Leffler distribution for time averages of functions, i.e.,…