Tower multiplexing and slow weak mixing
Tom 138 / 2015
Colloquium Mathematicum 138 (2015), 47-71
MSC: Primary 37A05; Secondary 37A25, 37A30.
DOI: 10.4064/cm138-1-4
Streszczenie
A technique is presented for multiplexing two ergodic measure preserving transformations together to derive a third limiting transformation. This technique is used to settle a question regarding rigidity sequences of weak mixing transformations. Namely, given any rigidity sequence for an ergodic measure preserving transformation, there exists a weak mixing transformation which is rigid along the same sequence. This establishes a wide range of rigidity sequences for weakly mixing dynamical systems.
