Topics of Stochastic Algebraic Topology

Stochastic algebraic topology studies random or partly known spaces depending on many random parameters. Such spaces typically arise in applications as configuration spaces of large systems. The paper surveys several recent developments of stochastic algebraic topology focusing on three major themes: random 2-dimensional complexes, random Artin and Coxeter groups, and configuration spaces of linkages (known also as polygon spaces) with random length parameters.