English: Evolution of a Kac ring with 1000 balls and 20 marks. Blue line is the macroscopic estimate, showing exponential decay. Orange area is a confidence interval from 10% to 90% quantile. Orange line is one sample of the ensemble (with marks at points 65, 200, 206, 230, 231, 267, 280, 330, 342, 371, 433, 439, 529, 561, 781, 812, 883, 912, 931, 958). Computed numerically with 1000 samples.
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