Séminaire OrléansA conditioning principle for Galton-Watson trees
Nadia Sidorova (University College London)
Thursday 14 February 2013 14:00 - Orléans - Salle de Séminaire
We discuss the behaviour of a Galton-Watson tree conditioned on its martingale limit being small. We prove that it converges to the smallest possible tree, giving an example of entropic repulsion where the limit has no entropy. We also discuss the first branching time of the conditioned tree (which turns out to be almost deterministic) and the strength of the first branching. This is a joint work with N. Berestycki (Cambridge), N. Gantert (Munich), P. Moerters (Bath).