English

The random interchange process on the hypercube

Probability 2016-02-24 v3 Mathematical Physics math.MP

Abstract

We prove the occurrence of a phase transition accompanied by the emergence of cycles of diverging lengths in the random interchange process on the hypercube.

Keywords

Cite

@article{arxiv.1509.02067,
  title  = {The random interchange process on the hypercube},
  author = {Roman Kotecký and Piotr Miłoś and Daniel Ueltschi},
  journal= {arXiv preprint arXiv:1509.02067},
  year   = {2016}
}

Comments

8 pages

R2 v1 2026-06-22T10:50:51.361Z