S. Cantat - Dynamical degrees 2.4 | Vidéo

S. Cantat - Dynamical degrees 2.4

Appears in collection : Summer School 2025 - Cremona Group

Two main themes : how do dynamical degrees relate to entropy\, and how do these notions of complexity vary as parameters change? The recent work of Junyi Xie on semicontinuity of dynamical degrees\, a priori only in codimension 1. This will be a continuation of the first mini-course on dynamical degree by Favre. Relation of dynamical degrees to topological entropy: Gromov upper bound on entropy for endomorphisms\, and a few words on Yomdin's lower bound (for instance proving the lower bound in terms of topological degree).