Non-fringe subtrees in conditioned Galton-Watson trees

We study S(T-n), the number of subtrees in a conditioned Galton-Watson tree of size n. With two very different methods, we show that log(S(T-n)) has a Central Limit Law and that the moments of S(T-n) are of exponential scale

Non-fringe subtrees in conditioned Galton-Watson trees

We study S(T-n), the number of subtrees in a conditioned Galton-Watson tree of size n. With two very different methods, we show that log(S(T-n)) has a Central Limit Law and that the moments of S(T-n) are of exponential scale