Recognition: unknown
Expansion in high dimension for the growth constants of lattice trees and lattice animals
classification
🧮 math.PR
keywords
latticeexpansionanimalsconstantsfunctionsgrowthone-pointtrees
read the original abstract
We compute the first three terms of the 1/d expansions for the growth constants and one-point functions of nearest-neighbour lattice trees and lattice (bond) animals on the integer lattice Zd, with rigorous error estimates. The proof uses the lace expansion, together with a new expansion for the one-point functions based on inclusion-exclusion.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.