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math.DS2014★ 23 cited
On invariant measures for -free systems
Joanna Kułaga-Przymus, Mariusz Lemańczyk, Benjamin Weiss
We show that the -free subshift associated to a -free system is intrinsically ergodic, i.e.\ it has exactly one measure of maximal e…
math.DS2014★ 1 cited
Polynomial actions of unitary operators and idempotent ultrafilters
Vitaly Bergelson, Stanisław Kasjan, Mariusz Lemańczyk
Let be an idempotent ultrafilter over . For a positive integer , let denote the additive group of polynomials with ${\rm…