Cambridge

Glauber dynamics on $\mathbb{Z}^d$ is a dynamic representation of the zero-temperature Ising model, in which the spin (either $+$ or $-$) of each vertex updates, at random times, to the state of the majority of its neighbours. It has long been conjectured that the critical probability $p_c(\mathbb{Z}^d)$ for fixation (every vertex eventually in the same state) is $1/2$, but it was only recently proved (by Fontes, Schonmann and Sidoravicius) that $p_c(\mathbb{Z}^d)

Let N(A) be the number of integer solutions of x^2 + y^2

If new particles are produced at the LHC, it is vital that we can extract as much information as possible from them about the underlying theory.  I will discuss some recent work on extracting spin information from invariant mass distributions of new particles.  I will then introduce the Kullback-Leibler method of quantifying our ability to distinguish different scenarios.