7 citations · 12 across the 4 of their papers we have counts for
5 papers
Residuality of Dynamical Morphisms for Amenable Group Actions
Dawid Huczek, Sebastian Kopacz, Jacek Serafin
We extend the classical Baire category approach, used in proving the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein,…
A strictly ergodic, positive entropy subshift uniformly uncorrelated to the Moebius function
Tomasz Downarowicz, Jacek Serafin
A recent result of Downarowicz and Serafin (DS) shows that there exist positive entropy subshifts satisfying the assertion of Sarnak's conjecture. More precisely, it is proved that…
Almost full entropy subshifts uncorrelated to the Möbius function
Tomasz Downarowicz, Jacek Serafin
We show that if is a bounded sequence with zero average along every infinite arithmetic progression then for every there exist (unilateral or bilateral)…
Correlation of sequences and of measures, generic points for joinings and ergodicity of certain cocycles
Jean-Pierre Conze, Tomasz Downarowicz, Jacek Serafin
The main subject of the paper, motivated by a question raised by Boshernitzan, is to give criteria for a bounded complex-valued sequence to be uncorrelated to any strictly ergodic…
Finitary Codes, a short survey
Jacek Serafin
In this note we recall the importance of the notion of a finitary isomorphism in the classification problem of dynamical systems.