Random Simplicial Complexes: Models and Phenomena

We review a collection of models random simplicial complexes together with some the most exciting phenomena related to them. do not attempt cover all existing models, but try focus on those for which many important results have been recently established rigorously in mathematics, especially context algebraic topology. In application real-world systems, reviewed are typically used as null so that we take statistical stance, emphasizing, where applicable, entropic properties models. also and features observed these split presented into two classes: phase transitions distributional limits. conclude an outline interesting future research directions.