To Create a Stone with Six Birds: Emergent Geometric and Thermodynamic Regimes from a Minimal Stochastic Substrate
How much macroscopic regularity can a random Markov chain acquire when it is allowed to rewrite itself using only a small set of closure operations? We study this question in a minimal stochastic substrate: a random transition kernel on n states that is repeatedly rewritten, gated and reorganized by six primitive opera...