2 papers
math.PR2026
A central limit theorem for a generalization of the Ewens measure to random tuples of commuting permutations
Abdelmalek Abdesselam, Shannon Starr
We prove a central limit theorem (CLT) for the number of joint orbits of random tuples of commuting permutations. In the uniform sampling case this generalizes the classic CLT of G…
math-ph2025
Violation of Ferromagnetic Ordering of Energy Levels in Spin Rings for the Singlet
David Heson, Shannon Starr, Jacob Thornton
We demonstrate a violation of the ``ferromagnetic ordering of energy levels'' conjecture (FOEL) for even length spin rings. The FOEL conjecture was a guess made by Nachtergaele, Sp…