@article{d38765259d474ebaa291066cdac7e456,
title = "A prime system with many self-joinings",
abstract = "We construct a rigid, rank 1, prime transformation that is not quasi-simple and whose self-joinings form a Poulsen simplex. This seems to be the first example of a prime system whose self-joinings form a Poulsen simplex.",
keywords = "Measure preserving transformation, Poulsen simplex, Prime transformation, Rank 1, Rigid, Selfjoining",
author = "Jon Chaika and Bryna Kra",
note = "Funding Information: Received May 14, 2019; revised November 15, 2020. 2020 Mathematics Subject Classification: Primary: 37A05; Secondary: 37A25, 37A50, 28D05. Key words and phrases: Measure preserving transformation, prime transformation, self-joining, rank 1, rigid, Poulsen simplex. JC: Partially supported by NSF grants DMS-135500 and DMS-452762, the Sloan foundation, Poincar{\'e} chair, and Warnock chair. BK: Partially supported by NSF grant DMS-1800544. Publisher Copyright: {\textcopyright} 2021 AIMSCIENCES.",
year = "2021",
doi = "10.3934/jmd.2021007",
language = "English (US)",
volume = "17",
pages = "213--265",
journal = "Journal of Modern Dynamics",
issn = "1930-5311",
publisher = "American Institute of Mathematical Sciences",
}