• DOI:10.1142/S0219493716600133
• Corpus ID: 113403298

ON THE MIXING PROPERTIES OF PIECEWISE EXPANDING MAPS UNDER COMPOSITION WITH PERMUTATIONS, II: MAPS OF NON-CONSTANT ORIENTATION

@article{Byott2012ONTM,
  title={ON THE MIXING PROPERTIES OF PIECEWISE EXPANDING MAPS UNDER COMPOSITION WITH PERMUTATIONS, II: MAPS OF NON-CONSTANT ORIENTATION},
  author={Nigel P. Byott and Congping Lin and Yiwei Zhang},
  journal={Stochastics and Dynamics},
  year={2012},
  volume={16},
  pages={1660013}
}

• N. P. Byott, Congping Lin, Yiwei Zhang
• Published 22 March 2012
• Mathematics
• Stochastics and Dynamics

For an integer m ≥ 2, let 𝒫m be the partition of the unit interval I into m equal subintervals, and let ℱm be the class of piecewise linear maps on I with constant slope ±m on each element of 𝒫m. We investigate the effect on mixing properties when f ∈ℱm is composed with the interval exchange map given by a permutation σ ∈ SN interchanging the N subintervals of 𝒫N. This extends the work in a previous paper [N. P. Byott, M. Holland and Y. Zhang, DCDS 33 (2013) 3365–3390], where we considered only the “stretch-and-fold” map fsf(x) = mx mod 1.