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math.DS2015★ 5 cited
Substitutions and Möbius disjointness
S. Ferenczi, J. Kułaga-Przymus, M. Lemańczyk +1
We show that Sarnak's conjecture on Möbius disjointness holds for all subshifts given by bijective substitutions and some other similar dynamical systems, e.g.\ those generated by…
math.DS2015
Hereditary subshifts whose simplex of invariant measures is Poulsen
Joanna Kułaga-Przymus, Mariusz Lemańczyk, Benjamin Weiss
We give a sufficient condition for the simplex of invariant measures for a hereditary system to be Poulsen. In particular, we show that this simplex is Poulsen in case of positive…