English

A prime system with many self-joinings

Dynamical Systems 2021-02-18 v2

Abstract

We construct a rigid, rank 1, prime transformation that is not quasi-simple and whose self-joinings form a Paulsen simplex. This seems to be the first example of a prime system whose self-joinings form a Paulsen simplex.

Keywords

Cite

@article{arxiv.1902.02421,
  title  = {A prime system with many self-joinings},
  author = {Jon Chaika and Bryna Kra},
  journal= {arXiv preprint arXiv:1902.02421},
  year   = {2021}
}
R2 v1 2026-06-23T07:34:06.533Z