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math.DS2016
Hochman's upcrossing theorem for groups of polynomial growth
Nikita Moriakov
Consider a stochastic process , which is indexed by the collection of all nonempty intervals and whic…
math.DS2016
Fluctuations of Ergodic Averages for Actions of Groups of Polynomial Growth
Nikita Moriakov
It was shown by S. Kalikow and B. Weiss that, given a measure-preserving action of on a probability space and a nonnegative measurable function on , the p…