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math.DS2010★ 9 cited
Scaling entropy and automorphisms with purely point spectrum
A. Vershik
We study the dynamics of the metrics generated by measure preserving transformations. We consider a sequence of average metrics and define the corresponding sequence of -entropi…
math.DS2010
Orbit theory, locally finite permutations and morse arithmetic
Anatoly Vershik
The goal of this paper is to analyze two measure preserving transformation of combinatorial and number-theoretical origin from the point of view of ergodic orbit theory. We study t…