English

Tower multiplexing and slow weak mixing

Dynamical Systems 2013-11-12 v3

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.

Keywords

Cite

@article{arxiv.1301.0791,
  title  = {Tower multiplexing and slow weak mixing},
  author = {Terrence Adams},
  journal= {arXiv preprint arXiv:1301.0791},
  year   = {2013}
}

Comments

25 pages, 3 figures, updated submission

R2 v1 2026-06-21T23:04:06.901Z