Primality conjecture for almost every 3-IET
A 3-IET is an interval exchange transformation of an interval cut into three exchanged subintervals, and a measure-preserving system is prime when it has no nontrivial factors.
3-IET primality conjecture. Almost every -IET is prime.
This is given as a specific family-level form of the preceding conjecture. The source contrasts it with the known fact that almost every -IET has self-joinings forming a Paulsen simplex, while the asserted primality remains open.
References
Primary source
Jon Chaika and Bryna Kra, “A prime system with many self-joinings”, arXiv:1902.02421 (2021).
Progress summary
Never refreshed
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
No solutions have been posted yet.