What is... a conformally balanced tree?

Vortrag von Uri Kreitner

Datum: 24.03.26  Zeit: 16.30 - 18.30  Raum:

In 1997, Benjamin Weiss constructed a non-trivial translation-invariant probability measure on entire functions. In this talk, we give several constructions of Aut(D)-invariant probability measures on holomorphic self-maps of the unit disk by looking at conformally-natural shapes of deterministic and random infinite hyperbolic trees. The construction uses an infinite version of Grothendieck’s dessin d'enfant. No prior knowledge is assumed.

This is joint work with O. Ivrii.