Tower multiplexing and slow weak mixing

• Autorzy: Terrence Adams
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A25: Ergodicity, mixing, rates of mixing
• 37A30: Ergodic theorems, spectral theory, Markov operators
• 37A05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 138
• Numer: 1
• Strony: 47-71

Daty

wydano

2015

Twórcy

autor

Terrence Adams

• U.S. Government, 9161 Sterling Drive, Laurel, MD 20723, U.S.A.

Identyfikatory

DOI

10.4064/cm138-1-4