Algebraic statistics advocates polynomial algebra as a tool for addressing problems in statistics and its applications. This connection is based on the fact that most statistical models are defined either parametrically or implicitly via polynomial equations. The idea is summarized by the phrase...

Mathematical concepts are often difficult for students to acquire. This difficulty is evidenced by failure of knowledge to transfer from the learning situation to a novel isomorphic situation. What choice of instantiation most effectively facilitates successful transfer? One possibility is that...

This presentation does not require previous knowledge of C*-algebras, labeled graphs, or group actions. A labeled graph over an alphabet consists of a directed graph together with a labeling map . One can associate a C*-algebra to a labeled graph in such a way that if the labeling is...