Dynamical degrees
Dynamical degrees

Serge Cantat , Université de Rennes I
Let f be a birational transformation of the projective plane. The degree deg(f) is the degree of the image of a generic line by f. The dynamical degree of f captures the exponential growth rate of the sequence deg(f^n), where f^n denotes the nth iterate of f. The structure of the set of dynamical degrees of all birational transformations of the plane is quite interesting ; for instance, it is a well ordered subset of famous algebraic integers, namely Salem and Pisot numbers . (this is joint work with Jérémy Blanc)