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math.DS2018★ 1 cited
Limiting curves for the dyadic odometer and the generalized Trollope-Delange formula
Aleksei Minabutdinov
We study limiting curves resulting from deviations in partial sums in the ergodic theorem for the dyadic odometer and non-cylindric functions. In particular, we generalize the Trol…
math.DS2017
Limiting curves for polynomial adic systems
Aleksei Minabutdinov
We prove the existence and describe limiting curves resulting from deviations in partial sums in the ergodic theorem for cylindrical functions and polynomial (self-similar) adic sy…