Finiteness of commutable maps of bounded degree
  In this paper, we study the relation between two dynamical systems (V,f) and (V,g) with f. g = g . f. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Pre(f) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f. 
Chong Gyu Lee, Hexi Ye
math.NT math.DS