The Basilica Group is the iterated monodromy group associated with the Basilica map $z^2-1$. The Schur renormalization transformation describes the relation between the densities of states in various scales. For this group, it happens to be a rational map in two variables. We will describe the dynamical structure of this map that yields the laminar structure for the associated Green current (restricted to the real plane). It implies that the density of states for this group is a Cantor set of positive Lebesgue measure.
It is a joint work with E.Bedford, N.-B. Dang, and R.Grigorchuk.
De Jeremie Brieussel
De Ivan Mitrofanov
De Rostislav Grigorchuk
De Alejandra Garrido
De Dominik Francoeur
De Yair Hartman
De Mikhail Lyubich
De Vadim Kaimanovich
De Anitha Thillaisundaram
De Mikael de la Salle
De Josh Frisch
De Marialaura Noce
De Monica Colpi
De Albert Schwarz
De Albert Schwarz
De Juan Camilo Arosemena Serrato
De Francesca Arici
De Amine Marrakchi
