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Tower multiplexing and slow weak mixing

Volume 138 / 2015

Terrence Adams Colloquium Mathematicum 138 (2015), 47-71 MSC: Primary 37A05; Secondary 37A25, 37A30. DOI: 10.4064/cm138-1-4

Abstract

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.

Authors

  • Terrence AdamsU.S. Government
    9161 Sterling Drive
    Laurel, MD 20723, U.S.A.
    e-mail

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