Automorphism Groups of Countably Categorical Linear Orders are Extremely   Amenable
  We show that the automorphism groups of countably categorical linear orders are extremely amenable. Using methods of Kechris, Pestov, and Todorcevic, we use this fact to derive a structural Ramsey theorem for certain families of finite ordered structures with finitely many partial equivalence relations with convex classes. 
Fran\c{c}ois G. Dorais, Steven Gubkin, Daniel McDonald, Manuel Rivera
math.LO