Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 128, Issue 5, Pages 1237-1260Publisher
SPRINGER
DOI: 10.1007/s10955-007-9348-3
Keywords
-
Categories
Ask authors/readers for more resources
We define generic ensembles of infinite trees. These are limits as N -> infinity of ensembles of finite trees of fixed size N, defined in terms of a set of branching weights. Among these ensembles are those supported on trees with vertices of a uniformly bounded order. The associated probability measures are supported on trees with a single spine and Hausdorff dimension d(h) =2. Our main result is that the spectral dimension of the ensemble average is d(s) =4/3, and that the critical exponent of the mass, defined as the exponential decay rate of the two-point function along the spine, is 1/3.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available