1 citations · 2 across the 2 of their papers we have counts for
5 papers
Emptiness Formation Probability
Nicholas Crawford, Stephen Ng, Shannon Starr
We present rigorous upper and lower bounds on the emptiness formation probability for the ground state of a spin- Heisenberg XXZ quantum spin system. For a -dimensional sys…
A method to derive concentration of measure bounds on Markov chains
Stephen Ng, Meg Walters
We explore a method introduced by Chatterjee and Ledoux in a paper on eigenvalues of principle submatrices. The method provides a tool to prove concentration of measure in cases wh…
Link Patterns and the Catalan Tree
Stephen Ng
We demonstrate that a natural construction based on the two notions of insertion of a strand and finding the preimages of Temperley-Lieb algebra generators give an inductive means…
Alternating paths of fully packed loops and inversion number
Stephen Ng
We consider the set of alternating paths on a fixed fully packed loop of size n. This set is in bijection with the set of fully packed loops of size n. Furthermore, for a special c…
Ferromagnetic Ordering of Energy Levels for Symmetric Spin Chains
Bruno Nachtergaele, Stephen Ng, Shannon Starr
We consider the class of quantum spin chains with arbitrary -invariant nearest neighbor interactions, sometimes called for the quantum defo…