Thomas Prellberg, Aleksander L. Owczarek
On the Asymptotics of the Finite-Perimeter Partition Function of 
Two-Dimensional Lattice Vesicles
(306K, pdf)

ABSTRACT.  We derive the dominant asymptotic form and the order of the correction 
terms of the finite-perimeter partition function of self-avoiding 
polygons on the square lattice, which are weighted according to their 
area A as q^A, in the inflated regime, q>1. The approach q->1^+ of the 
asymptotic form is examined.