Speaker
Piotr Bialas
(Jagiellonian University)
Description
I will explicitly calculate the distance dependent correlation
functions in a maximal entropy ensemble of random trees and
show that correlations remain disassortative at all distances
and vanish only as a second inverse power of the distance. I
will discuss in detail the example of scale-free trees where the
diverging second moment of the degree distribution leads to
some interesting phenomena.