English

Every cutoff profile is possible

Probability 2025-09-30 v1

Abstract

We introduce fruit-inosculated-tree Markov chains. These chains have easily tunable parameters and are a good source of examples. In particular, we prove that every cutoff profile is possible, with any cutoff time and window size.

Keywords

Cite

@article{arxiv.2509.23069,
  title  = {Every cutoff profile is possible},
  author = {Lucas Teyssier},
  journal= {arXiv preprint arXiv:2509.23069},
  year   = {2025}
}

Comments

19 pages. Comments welcome!

R2 v1 2026-07-01T06:00:13.886Z