Arithmetic Geometric Model for Bi-Critical Irrationally Indifferent Attractors

par Jocelyn Russell (Londres)

vendredi 21 nov. 2025, 10:30 → 12:30 Europe/Paris

Bat 1R2 (Salle 207)

Holomorphic maps that have fixed points with multiplier equal to an irrational rotation exhibit complicated and rich long term behaviour. The development of the Inou-Shishikura class led authors such as Cheraghi to study critical orbits via a special non-holomorphic toy model which retains important topological and geometrical properties, while depending only on arithmetic features. In this talk I will introduce a new toy model for the bi-critical case, for which the extra critical point introduces more complexity.