Tower multiplexing and slow weak mixing

Terrence Adams

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arXiv · 1301.0791

Tower multiplexing and slow weak mixing

Terrence Adams

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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 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.

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Terrence Adams. 2013-01-04. Tower multiplexing and slow weak mixing. https://arxiv.org/abs/1301.0791

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