The random interchange process on the hypercube

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.

8 pages

Cited by in corpus (5)

• The free energy in a class of quantum spin systems and interchange processes
• The interchange process with reversals on the complete graph
• Phase transition for the interchange and quantum Heisenberg models on the Hamming graph
• Critical parameter of random loop model on trees
• On a class of orthogonal-invariant quantum spin systems on the complete graph