title: Long-range disassortative correlations in generic random trees.
abstract: We explicitly calculate the distance dependent correlation functions in a maximal entropy ensemble of random trees. We show that correlations remain disassortative at all distances and vanish only as a second inverse power of the distance. We discuss in detail the example of scale-free trees where the diverging second moment of the degree distribution leads to some interesting phenomena.
authors.affiliation: Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Krakow, Poland. pbialas@th.if.uj.edu.pl
authors.forename: Piotr
authors.initials: P
authors.lastname: Bialas
authors.forename: Andrzej K
authors.initials: AK
authors.lastname: Oleś