arXiv subjects

Scott Williams

Publications and source records attributed to Scott Williams.

2 recordsLinked to original sources

arXiv2018

Rough Bounds for Emptiness Formation Probability in the 2d Dimer model using Reflection Positivity

We summarize how to obtain rough bounds for one version of the emptiness formation probability in the 2d dimer model. The methods we use are the same as have been developed to obtain EFP bounds in the 1d XXZ model in a paper with Crawford, Ng and one of the authors. A main tool is reflection positivity for the basic dimer model, as proved by Heilmann and Lieb. We also state the corollary for a 1d quantum spin system which Suzuki showed is related to the 2d Ising model.

math-ph↗

arXiv2011

Why Cheating is Wrong

Mathieu Bouville's "Why is cheating wrong?" (Studies in Philosophy and Education, 29(1), 67-76, 2010) misses the mark by failing to consider the longer term consequences of cheating on student character development and longer term societal consequences of undermining professional expertise and trust in disciplines where an earned degree is an essential part of professional certification and qualifications. Educators who turn a blind eye to student cheating are cheating the public by failing to deliver on the promise of graduates who genuinely earned their degrees.

physics.ed-ph↗