Jacob Richey

In this talk I will discuss activated random walk (ARW) and the stochastic sandpile (SSM), two interacting particle systems that exhibit a phase transition on infinite domains and self-organized criticality on finite domains. ARW and SSM both consist...

Consider all shifts of finite type constrained by a condition on the forbidden set, e.g. only allowing a single forbidden word of fixed length. Which such shifts have the minimum/maximum possible entropy? Among all binary shifts forbidding a single...

Consider all shifts of finite type constrained by a condition on the forbidden set, e.g. only allowing a single forbidden word of fixed length. Which such shifts have the minimum/maximum possible entropy? Among all binary shifts forbidding a single...