S. Starr

activity

19992025

most citedAn Extended Variational Principle for the SK Spin-Glass Model

207 citations · 582 across the 40 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math-ph2023

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…

math.CO2023

Generating Function for Pinsky's Combinatorial Second Moment Formula for the Generalized Ulam Problem

Samen Hossein, Shannon Starr

Given a uniform random permutation $π \in S_{n}$ , let $Z_{n, k}$ be equal to the number of increasing subsequences of length $k$ : so $Z_{n,k}=|\{(i_1,\dots,i_k) \in \mathbb{Z}^k\, :\,…