Random forests and fermionic field theories
Kick-off event on Wed 29.10.25 at Institut Henri Poincaré. Inscriptions: link indico
The seminars at IHES will take place on the following Wednesdays: 12.11, 26.11 and 10.12, see program
Conditioned Marked Galton-Watson trees
bySonia Boulal
Abstract:We consider a Galton–Watson tree in which each node is independently marked, with a probability that depends on its number of offspring. We give a complete picture of the local convergence of critical or subcritical marked Galton–Watson trees, conditioned on having a large number of marks. In certain cases, the limit is a randomly marked tree with an infinite spine, known as the marked Kesten tree. In other cases, the local limit is a randomly marked tree with a node having infinitely many children. This corresponds to the so-called marked condensation phenomenon. Joint work with Romain Abraham and Pierre Debs.
All talks Fall '25: random forests and fermionic field theories