The long time coarse grain of the observables often shows the large deviation statistics. A reason for this is that the long time coarse grained observables lose their correlations or memories. The establishment of the large deviation statistics leads to the statistical mechanics. In this paper,...

The universality in turbulence are studied in this paper. In the previous paper, we succeeded in studying the system described by the Kuramoto–Sivashinsky equation statistical mechanically. In this paper, it is shown that the turbulence described by the two-dimensional coupled map lattices has...

A “universal” fitting function has been recognized that makes use of the eigen-coordinates method (Physica A 285 (2000) 547) to accurately describe the distribution of ordered amplitudes within random sequences (taken from a diversity of sources). It is shown that sequences with a discrete...